Answer:
4,4
Step-by-step explanation:
44x1/10
Willy and Billy each have a rock collection.
• The number of rocks in Willy’s collection can be represented by x.
• The number of rocks in Billy’s collection is 223 times the number in Willy’s collection.
• The total number of rocks in both collections is 110.
What is x, the number of rocks in Willy’s collection?
The number of rocks in Willy’s collection is 30
How to calculate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split
In this case, the number of rocks in Willy’s collection can be represented by x and the number of rocks in Billy’s collection is 2 2/3 times the number in Willy’s collection.
The appropriate equation to illustrate this will be:
x + 2 2/3x = 110
3 2/3x = 110
x = 110 ÷ 11/3
x = 110 × 3/11
x = 30
There'll be 30 rocks
Learn more about fractions on:
brainly.com/question/78672
#SPJ1
Multiply: (x + 3) (x2 + x – 2)
Answer:
x3+4x2+x-6
Step-by-step explanation:
do it your selve
MARKING BRAINLIEST!!!!! The Sea Dragon, a pendulum ride at an amusement park, moves from its central position at rest according to the trigonometric function below, where t represents time, in seconds. F(t) = 20cos (2pi/5)t, how many seconds does it take the pendulum to complete one full cycle?
According to the trigonometric function, F(t) = 20 cos (2π/5)t where t represents time, in seconds. representing the pendulum ride of the sea dragon. It will take the pendulum 5 seconds to complete one full cycle.
What is a period in math?A period on a graph function is the distance between two repeating points.
The graph repeats itself as it advances along the x-axis, as you can see.
Periods are the cycles of this predictable repetition. Every 6.28 units, or 2 pi radians, this graph repeats.
The equation is F(t) = 20 cos (2π/5)t
The amplitude of the equation is 20 and the graph makes 2π/5 oscillations at every t seconds
the period to complete an oscillation which is 2π
2π/5 * t = 2π
t = 2π * 5/2π
t = 5 seconds
Learn more on trigonometry graphs at:
https://brainly.com/question/30023715
#SPJ1
x
A
B
C
Number of Cars
4x D
300
Based on the information in this chart, which statement is true?
200
100
0
li
8-10am 10am-12pm 12-2pm
2-4pm
Time of Day
6-8pm
8-10pm
Around the same number of cars are on the busy street between 10 am -12 pm and 6-8 pm.
Around the same number of cars are on the busy street between 10 am - 12 pm and 2-4 pm.
Around the same number of cars are on the busy street between 10 am - 12 pm and 2 - 6 pm.
Around the same number of cars are on the busy street between 10 am- 12 pm and 12 - 2 pm.
Answer:
between 10 am - 12 pm and 2-4 pm.
10. Which of the following must be true?
Note that in the above mathematical scenario involving two similar triangles, the option that MUST be correct is AC < FH (Option C) This solution is arrived at using the Open Mouth Theorem.
What does the Open Mouth Theorem state?The above-stated Theorem in Geometry asserts that if two sides of two triangles are congruent and the included angle differs, then the greater angle is opposite the longer side.
This theorem is known as the Open Mouth Theorem because it is based on the idea that the two sides of a triangle are "pivoted" at their common vertex.
Please keep in mind that this theorem only works if we know two pairs of sides are congruent like this.
Learn more about Open Mouth Theorem:
https://brainly.com/question/3941823
#SPJ1
What did you include in your answer? Check all that apply.
Parallel lines have the same slope.
Parallel lines have equal slopes.
Parallel lines have different y-intercepts.
Parallel lines have different x-intercepts.s.
The lines that are true in the following statements are, Parallel lines have the same slope. Parallel lines have equal slopes. Parallel lines have different y-intercepts. Parallel lines have different x-intercepts.
What are parallel lines?Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines in geometry. Both horizontal and vertical shapes are possible.
The following key traits and qualities make it simple to recognize parallel lines:
They are usually parallel straight lines that are spaced equally apart.
These lines are coplanar.
No matter how far you extend them in any direction, they never come together.
All the statements mentioned are true.
Learn more about parallel lines here:
https://brainly.com/question/16701300
#SPJ1
(04.05 HC)
An applicant receives a job offer from two different companies.
Offer A is a starting salary of $55,000 and a 5% increase for 5
years. Offer B is a starting salary of $56,000 and an increase of
$2,000 per year.
Part A: Determine whether offer A can be represented by an
arithmetic or geometric series and write the equation for An, that
represents the total salary received after n years. Justify your
reasoning mathematically. (3 points)
Part B: Determine whether offer B can be represented by an
arithmetic or geometric series and write the equation for B, that
represents the total salary received after n years. Justify your
reasoning mathematically. (3 points)
Part C: Which offer will provide a greater total income after 5
years? Show all necessary math work. (4 points)
On solving the provided question of arithmetic , we can say that after five years, Offer A will offer a higher total income.
What is arithmetic sequence?Every subsequent pair of terms in an arithmetic sequence has a constant difference. This resembles linear functions with the formula y=mx+b. There is a fixed ratio between every pair of subsequent terms in a geometric sequence. This would produce a constant multiplier effect.
Given that a candidate receives job offers from two different companies, with Offer A offering a starting salary of $ 55,000 and a 5% increase for 5 years and Offer B offering a starting salary of $ 56,000 and an increase of $ 2,000 per year, it is necessary to perform the following calculation to determine which offer will result in a higher total income after 5 years:
Offer A = Arithmetic
55000.r1.055 X
70, 195.48 — x
Offer B = Geometric
56000+ (5a•2000) X
56000+ 10000 = x
66,000 = x
To know more about arithmetic visit:-
brainly.com/question/11559160
#SPJ1
how much did bleep blair receive in royalties last year
One batch of brownies calls for 1 box of brownie mix and the ingredients shown.
Fudge-like brownie
2 eggs
1/4 cup of water
1/2 cup of oil
Cake-like brownie
3 eggs
1/4 cup of water
1/2 cup of oil
a. What amounts of eggs, water, and oil would you need for 2 batches of fudge-like brownies?
b. What amounts of eggs, water, and oil would you need for 3 batches of cake-like brownies?
Sorry if it's all confusing. If you don't know, then don't answer. Please answer if you know ASAP.
a) The amounts needed for 2 batches of fudge-like brownies are of:
Eggs: 4.Water: 1/2 cup.Oil: 1 cup.b) The amounts needed for 3 batches of cake-like brownies are of:
Eggs: 9.Water: 0.75 cups.Oil: 1.5 cups.How to obtain the needed amounts?The needed amounts for each case are obtained applying the proportions in the context of this problem.
Hence:
The amounts needed for 2 batches of fudge-like brownies are obtained multiplying the amounts given for 1 box of fudge-like brownie (2 eggs, 1/4 of a cup of water and 1/2 of a cup of oil) by 2.The amounts needed for 3 batches of cake-like brownies are obtained multiplying the amounts given for 1 box of cake-like brownie (3 eggs, 1/4 of a cup of water and 1/2 of a cup of oil) by 3.More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
The amounts of eggs, water, and oil needed for 2 batches of fudge-like brownies are:
eggs = 4cup of water = 2/4cup of oil = 1The amounts of eggs, water, and oil needed for 3 batches of cake-like brownies are:
eggs = 9cup of water = 3/4cup of oil = 3/2What is the ingredients needed for 2 batches?One batch of Fudge-like brownies:
2 eggs
1/4 cup of water
1/2 cup of oil
One batch of Cake-like brownie
3 eggs
1/4 cup of water
1/2 cup of oil
The amounts of eggs, water, and oil needed for 2 batches of fudge-like brownies can be determined by multiplying each ingredients by 2
eggs = 4
cup of water = 2/4
cup of oil = 1
The amounts of eggs, water, and oil needed for 3 batches of cake-like brownies can be determined by multiplying each ingredients by 3
eggs = 9
cup of water = 3/4
cup of oil = 3/2
Therefore, the ingredients needed for the other batches is determined by multiplying each ingredients by the number of required batches.
Read more on ingredients batches:
https://brainly.com/question/19338507
#SPJ1
Freddy had two of the brownies from a large pan. His friend said he ate 1/8 of the brownies in the pan. Tell why you agree or disagree.
I agree that Freddy ate 1 / 8 of the brownies in the pan because two brownies represents 1 / 8 of the brownies in the pan.
How to find the proportion of brownies eaten ?The large pan is said to have been used to make 16 brownies which means that if Freddy ate 2 brownies out of this, the proportion that he would have eaten of the cookies in the pan is:
= Number of brownies Freddy ate / Number of total brownies in the large pan
= 2 / 16
= 1 / 8
This therefore shows that Freddy's friend was right in saying that Freddy ate 1 / 8 of the brownies in the pan.
Find out more on brownies at https://brainly.com/question/12638126
#SPJ1
Full question is:
A large pan is used to make 16 brownies. Freddy had two of the brownies from a large pan. His friend said he ate 1/8 of the brownies in the pan. Tell why you agree or disagree.
A soda company would like to replace the label on a can of soda with a radius of 2 and three fourths cm. If the label touches end to end with no overlap, what is the length of the label? Use 22 over 7 for π.
121 over 7 cm
121 over 14 cm
121 over 28 cm
121 over 56 cm
The length of the label is 121 over 28. (option C)
What is the length of the label?The length of the label is equivalent to the circumference of the cylinder. The circumference of an object is the distance round the object.
The formula for circumference of a cylinder = 2πr
Where:
π = 22/7
r = 2 3/4 = 11/4
2 x 22/7 x (11/4) = 121/28 cm
To learn more about the circumference of a cylinder, please check:https://brainly.com/question/29379980
#SPJ1
Answer: 121/7
Step-by-step explanation: I got it correct :)
????What’s the answer??
Answer: d
Step-by-step explanation: -5 is the intercept since x is 0 above it.
using the y2-y1 / x2-x1 we will get 2/4 (1/2 when simplified).
A cashier checks the price of a picnic basket that is marked $31, because it usually rings up at $36. What is the discount, as a percentage?
Round your answer to the nearest percent and include a percent sign (%).
HELP PLEASE
The discount as a percentage is 13.8%
How to calculate the discount as a percentage?The price of a picnic basket is marked as $31
The original price is $36
The discount percentage can be calculated as follows
36-31/36 × 100
= 5/36 × 100
= 0.138× 100
= 13.8%
Hence the percentage discount is 13.8%
Read more on discount here
https://brainly.com/question/22167292
#SPJ1
You or your parents purchased a car for 28,125+7. 5% sales tax the down payment is 3125 your fair credit rating what is your new principal balance at the beginning of the second month if you pay $529.75 at the end of the first month
26,706.08 nearest to 26,706.14
What is purchase?
Purchasing is the set of functions associated with acquiring the goods and services that an organization requires. Purchasing is a small subset of the broader procurement function.
The 6 key steps of the purchasing process are:
Identification of the need The description of the product characteristics Drafting the specifications. Is it necessary to issue a tender Supplier sourcing Preparing for the negotiation In-depth analysis of applicationsFair secured apr: 5.60% = 0.4666% for 1 month
28,125 x 1.075 = 30,234.38 - 3125 = 27,109.38
27,109.38 x 1.004666 = 27,235.87 - 529.79 = 26,706.08
Learn more about purchased here: brainly.com/question/1489991
#SPJ1
What is the value of
Answer:
1
Step-by-step explanation:
[tex](\frac{2}{3} )^{0} =1[/tex]
[tex](1)^{-3} =1[/tex]
Hope this helps
Which ordered pairs are solutions to the system of equations (-2,1.6)(0,3 3/5)(2,5 3/5) y=-0.5x+0.6
Y=x+3 3/5
The ordered pairs are solutions to the system of equations are (-2,1.6)
How to determine which ordered pairs are solutions to the system of equations?In order to determine which ordered pairs are solutions to the system of equations, you need to equate the two equations and solve for x:
y = -0.5x+0.6 and y= x+3 3/5
-0.5x+0.6 = x+3 3/5
-0.5x+0.6 = x+3.6
x+3.6 + 0.5x-0.6 = 0
1.5x + 3 = 0
1.5x = -3
x = -3/1.5
x = -2
y =-0.5x+0.6
y = -0.5(-2) + 0.6
y = 1.6
y = x + 3.6
y = -2 + 3.6
y = 1.6
Thus, the ordered pairs are (-2, 1.6)
Learn more system of equations on:
brainly.com/question/13729904
#SPJ1
Let f(x) and g(x) be polynomials as shown below f(x)=a 0 +a 1 x+a 2 x^ 2 ...+a n x^ n; g(x)=b 0 +b 1 x+b 2 x^ 2 ...+b m x^ m Which of the following is true about f(x) and g(x) ? . f(x) and g(x) are not closed under addition because when added, the result will be a polynomial B. f(x) and g(x) are not closed under addition because when added, the result will not be a polynomial_ f(x) and g(x) are closed under addition because when added, the result will not be a polynomial . D. f(x) and g(x) are closed under addition because when added , the result will be a polynomial
Considering the closure under property the polynomials f(x) = a 0 + a 1 x + a 2 x^ 2 ... + a n x^ n; and g(x) = b 0 + b 1 x + b 2 x^ 2 ... + b m x^ m
D. f(x) and g(x) are closed under addition because when added , the result will be a polynomialWhat is closure under property?In mathematics, a set is considered closed if we are able to apply and complete an operation on its components while consistently receiving a component from the same set.
A set therefore either possesses closure for a given mathematical operation or it does not.
Use of real numbers is the closure property of addition. Addition of two real numbers results in areal number
In the given problem, the set considered is polynomial addition and the addition of the two polynomial will give a sum which is a polynomial hence we say it is closed under addition.
Learn more about close under property at:
https://brainly.com/question/15198415
#SPJ1
Ravi and Susan each opened a savings account today. Ravi opened his account with a starting amount of $650, and he is going to take out $40 dollars per month. Susan opened her account with a starting amount of $850 dollars, and she is going to take out $65 per month. Write an expression to show how much money will be in each account after 6 months, and also another to show when the two accounts would have the same amount of money.
The amount in Ravi account after 6 months will be $410.
The amount in Susan account after 6 months will be $460
How to illustrate the expression?From the information, Ravi and Susan each opened a savings account today. Ravi opened his account with a starting amount of $650, and he is going to take out $40 dollars per month. This will be:
650 - 40m
Susan opened her account with a starting amount of $850 dollars, and she is going to take out $65 per month. This will be:
850 - 65m
The amount in Ravi account after 6 months will be;
= 650 - 40(6)
= 410
The amount in Susan account after 6 months will be:
= 850 - 65(6)
= $460
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
Question 4(Multiple Choice Worth 2 points)
(Slope LC)
What is the slope of the line that contains the points (2, -8) and (-4,4)?
2
1/2
-1/2
-2
Answer:
the slope is -2
Step-by-step explanation:
hope this helps!!
please help quickly!!!A shuffled deck of cards is placed face-down on the table. It contains 5 hearts, 6 diamonds, 4 clubs and 3 spades. What is the probability that the top two cards are both spades?.
The probability of getting two spades when two cards are drawn from the deck is 1/17.
What is probability?Probability branch of mathematics the deal with the likewood of an event occouring. It is the measure of how likely it is something will happen or be the case. Probabilities expressed as a number between zero and one 00 indicates impossibility and one indicus certainity. Probability can be used to calculate the chances of certain outcome based on a state condition or data. Probability can also be used to make decision and prediction about the future.
The probability of getting two spades when two cards are drawn from a shuffled deck of cards is 3/52 x 2/51, or 1/17.
This is because there is a 3/52 chance of getting the first spade and a 2/51 chance of getting the second spade (since there is one less card in the deck).
Therefore, the probability of getting two spades when two cards are drawn from the deck is 1/17.
To know more about probability click-
https://brainly.com/question/24756209
#SPJ1
Solving linear equations, mixture problem pls help
61.67 oz of the 55% acid solution and 33.33 oz of the 30% acid solution must be mixed to produce 100 ounces of a 43% acid solution.
This is a mixture problem that can be solved using algebra. We can set up a system of equations to represent the amount of each solution being used and the final acid concentration.
Let x be the amount of 55% acid solution and y be the amount of 30% acid solution used.
We can set up the following system of equations:
(55/100)x + (30/100)y = (43/100)(x + y) (Equation 1) represents the final acid concentration.
x + y = 100 (Equation 2) represents the total amount of solution mixed
We can solve for one variable in equation (1) by isolating it and substituting it into equation (2).
Solving for x in equation (1) we get: x = (100*43/100 - y30/100)/55/100
Substituting this value into equation (2) we get: (10043/100 - y30/100)/55/100 + y = 100
Solving for y we get: y = (100*100 - 100*43)/30 = 33.33 oz
And then substituting this value back into the equation x = (100*43/100 - y30/100)/55/100 we get x = 61.67 oz
So, 61.67 oz of the 55% acid solution and 33.33 oz of the 30% acid solution must be mixed to produce 100 ounces of a 43% acid solution.
To learn more about Mixture, Visit
https://brainly.com/question/24647756
#SPJ1
1. The flight of Jae and Miguel's rocket t seconds after launch is modeled by
h(t) = -5t² + 40t + 1, where h(t) is their rocket's height in meters.
What was their rocket's height in meters 0.5 seconds after launch?
19.75 meters is the rocket's height when it has 0.5 seconds after launch
What is a function?A relation is a function if it has only One y-value for each x-value.
Given that The flight of Jae and Miguel's rocket t seconds after launch is modeled by
h(t) = -5t² + 40t + 1
h(t) is their rocket's height in meters.
we have to find the rocket's height in meters 0.5 seconds after launch
Put t=0.5 in the above function.
h(0.5)=-5(0.5)² + 40(0.5)+ 1
=-5(0.25)+20+1
=-1.25+20+1
=19.75
Hence, 19.75 meters is the rocket's height when it has 0.5 seconds after launch
To learn more on Functions click:
https://brainly.com/question/21145944
#SPJ1
Edgar works in the shipping department of a toy manufacturer. Toy cars weigh 6 pounds apiece and are shipped in a container that weighs 5 pounds when empty. Toy trucks, which weigh 3 pounds apiece, are shipped in a container weighing 20 pounds. When packed with toys and ready for shipment, both kinds of containers have the same number of toys and the same weight. What is the number of toys?
The number of toys is 5 in each container.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Let x be the number of toys in each container.
Weight of one toy car = 6 pounds
Weight of the container in which toy cars shipped = 5 pounds
Weight of x toy cars = 6x
Total weight of the container when toy cars are placed = 6x + 5
Weight of one toy truck = 3 pounds
Container weight = 20 pounds
Weight of x toy trucks = 3x
Total weight of the container when toy trucks are place = 3x + 20
Given that both containers have same weight.
6x + 5 = 3x + 20
6x - 3x = 20 - 5
3x = 15
x = 5
Hence the number of toys in each container is 5.
Learn more about Equations here :
https://brainly.com/question/29657992
#SPJ1
Emily wants to plan a garden in her backyard Emily's mom says she can make a card and that has a width of 5/6 yard and a length of 1/4 yard what is the area of Emilys new garden?
Therefore , the solution of the given problem of surface area comes out to be 0.2083 yard square.
Exactly what is surface area?A surface is a measurement of how much overall space an object's surface takes up. Surface area of a three-dimensional shape is determined by the total area of its surroundings. Surface area is the term used to describe a triangular shape's entire surface area. The particular area of each face on a cube with six square faces can be added up to determine the cube's surface area. Alternately, you can get the box's dimensions by using the following formula: Surface (SA) equals twice twice twice twice. A three-dimensional shape's surface area is calculated as the sum of all the space it occupies.
Here,
Given : width : 5/6 yard
and length = 1/4 yard
To find the area = length * width
=> area = 5/6 * 1/4
=> area = 5/24
=> 0.2083 yard square.
Therefore , the solution of the given problem of surface area comes out to be 0.2083 yard square.
To know more about surface area visit:
https://brainly.com/question/2835293
#SPJ1
h is defined by the rule
h(x)=2x-3
The complete function table using the defined function rule is as shown below.
How to solve function tables?We are given the function rule as;
h(x) = 2x - 3
From the function table attached, we will need to find the value of the function h(x) at x = -3, -2, 1, 3, 5
Thus;
Plugging in the value of -3 for x in the given function rule gives us the output as;
h(-3) = 2(-3) - 3
h(-3) = -9
Plugging in the value of -2 for x in the given function rule gives us the output as;
h(-2) = 2(-2) - 3
h(-2) = -7
Plugging in the value of 1 for x in the given function rule gives us the output as;
h(1) = 2(1) - 3
h(1) = -1
Plugging in the value of 3 for x in the given function rule gives us the output as;
h(3) = 2(3) - 3
h(3) = 3
Plugging in the value of 5 for x in the given function rule gives us the output as;
h(5) = 2(5) - 3
h(5) = 7
Thus, the complete function table is;
x h(x)
-3 -9
-2 -7
1 -1
3 3
5 7
Read more about function Tables at; https://brainly.com/question/20053217
#SPJ1
Multiply.
8×35
Enter your answer as a mixed number in simplest form by filling in the boxes
PLS HELP
Answer:
280
Step-by-step explanation:
Answer:
8×35=280.
This is the best I can give to you
Classify the variables in the data if it’s (qualitative, nominal, ordinal, quantitative, discrete, or continuous etc)
Answer:
Like
Step-by-step explanation:
1. Nominal
2. Discrete
3. Quantitative
4. discrete
5. discrete
6. Qualitative
write an equation of the line that passes through (4,3) and is parallel to the line y=1/4x+10
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
[tex]y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{4}}x+10\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so we're really looking for the equation of a line whose slope is 1/4 and that it passes through (4 , 3)
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{3})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{ \cfrac{1}{4}}(x-\stackrel{x_1}{4}) \\\\\\ y-3=\cfrac{1}{4}x-1\implies {\Large \begin{array}{llll} y=\cfrac{1}{4}x+2 \end{array}}[/tex]
Ok so I need help with this
Answer:
Step-by-step explanation:
1 Wanderer
2 moves on its own orbits the sun
3 Saturn
4 saturn
Translate the following phrase into an algebraic expression. Do not simplify. Use the variable name x or y to describe the unknowns
5 times a number, divided by 6
Answer: The phrase "5 times a number, divided by 6" can be translated into the algebraic expression:
(5/6)x
This expression represents "5 times a number, divided by 6", where x is the unknown number.
Step-by-step explanation: