Answer:
There are 14 pizza rolls and 2 mini hot dogs in the combination meal.
Step-by-step explanation:
From the question, we have the following parameters
Pizza roll = 55 calories each
Mini hotdog = 70 calories each
Combination meal = 910 calories in total
Let the pizza roll be x and the mini hotdog be y
So, we have
55x + 70y = 910
x = 12 + y
Make x the subject in x = 12 + y
x = 12 + y
Substitute x = 12 + y in 55x + 70y = 910
55(12 + y) + 70y = 910
Evaluate
660 + 55y + 70y = 910
So, we have
125y = 250
This gives
y = 2
Recall that
x = 12 + y
So, we have
x = 12 + 2
x = 14
Hence, there are 14 pizza rolls and 2 mini hot dogs
find the value of the expression :
[tex]{x}^{2} + 2xy + {y}^{2} [/tex]
[tex]y = \frac{3 + i }{i} \\ x = 2 + 3i[/tex]
Answer: x² + 2xy + y² = 9
x² + 2xy + y² = (x + y)²
with x = 2 + 3i and y = [tex]\frac{3+i}{i}[/tex], we have:
[tex](x + y)^{2}=(2+3i+\frac{3+i}{i})^{2}\\\\=(\frac{2i+3i^{2}+3+i }{i})^{2}\\\\=(\frac{3i-3+3}{i})^{2} \\\\=(\frac{3i}{i})^{2}\\\\=3^{2}=9[/tex]
Step-by-step explanation:
Find the 10th term of the following geometric sequence.
2, 6, 18, 54,
.
Step-by-step explanation:
the formula to calculate number of terms in GP is : TN=a×r^n-1
If using the method of completing the square to solve the quadratic equation x^2-20x+33=0x
2
−20x+33=0, which number would have to be added to "complete the square"?
Answer:
The complete square of the given quadratic equation
( x - 10)² = 67
The solution of the quadratic equation
x = 18.2 and x = 1.8
Step-by-step explanation:
Step(i):-
Given that the quadratic equation
x² - 20 x +33 =0
x² - 2(10) x +(10)²-(10)²+ 33 =0
By using (a-b)² = a² -2ab + b²
( x - 10)² -100 +33 =0
( x - 10)² - 67 =0
( x - 10)² = 67
Step(ii):-
The complete square (x - 10)² = 67
x -10 = ±√67
x -10 = ± 8.1853
x -10 = 8.2 and x -10 = -8.2
x = 10+8.2 and x = 10 -8.2
x = 18.2 and x = 1.8
Jackson hikes 220.2 meters up a mountain. If he is 60% of the way up, how tall is the mountain? 132.12 meters
Answer:
367meters
Step-by-step explanation:
220.2 = 0.6 * h
220.2/0.6 = 0.6 * h / 0.6
367 = h
367 meters
filipino.munting gamogamo.malaking gamugamo
Answer:
i Don't understand what ur saying
Step-by-step explanation:
Answer:
Nagtatanong ka ba? kung ganun ano yun
PLZ HELP FAST IM CONFUSED
Deepak is a landscaper who charges $30 for each job he does plus an additional $15 for each hour he works. He only accepts jobs if he will earn at least $90 per job. He writes this inequality to determine x, the number of hours he must work during each job in order to accomplish this.
30 + 15 x greater-than-or-equal-to 90
Which best describes the restrictions on the jobs Deepak will accept?
He only accepts jobs that last 4 or more hours.
He only accepts jobs that last 5 or more hours.
He only accepts jobs that last 8 or more hours.
He only accepts jobs that last 9 or more hours.
Answer:
4 or more hours
Step-by-step explanation:
I just took the test
Determine the length of PN and the value of y
Answer:
Side PN=26
y=16
Step-by-step explanation:
I put a photo of my work. It’s easier to do that then to try and put it all in words
solve for x or find x
Answer:
x = 18
Step-by-step explanation:
diagonals bisect each other so 12x = 216
x = 216/12
x = 18
What is the area of the composite figure
Answer:
32
Step-by-step explanation:
ddd345
Tell weather each pair is parallel, perpendicular, or neither: y= 3x + 2 2y= 6x -6
please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! will give brainliest!!!!!!
Answer:
X is 40
Step-by-step explanation:
Look it up
Can some one help please
Answer:
y=7x+6
Step-by-step explanation:
hope i helped
A rectangle is 2/5 inches long and 1/3 inches wide. What is the area of the rectangle?
Step-by-step explanation:
2/5 x 1/3 = 2/15 inches squared
compare the rates to find which is greater.
50 envelopes for $2.49 or
90 envelopes for $5.50
give all relationships between angle 1 and angle 2 select all that apply
Answer:
vertical maybe if try it and see
How do you solve -8 -x = x -4x
Answer:
hey there
x = 4
Step-by-step explanation:
Let's solve your equation step-by-step.
−8−x=x−4x
Step 1: Simplify both sides of the equation.
−8−x=x−4x
−8+−x=x+−4x
−x−8=(x+−4x)(Combine Like Terms)
−x−8=−3x
−x−8=−3x
Step 2: Add 3x to both sides.
−x−8+3x=−3x+3x
2x−8=0
Step 3: Add 8 to both sides.
2x−8+8=0+8
2x=8
Step 4: Divide both sides by 2.
2x/2 = 8/2
x= 4
have a good day!!!
Answer:
x= 4
Isolate the variable by dividing each side by factors that don't contain the variable.
PLS, HELP is it A. B. C. D.
Answer:
May be c but I am not sure dear.
Mrs. Hanson has a potato salad recipe that calls for 238 pounds of potatoes, but she wants to make 112 times as much as the recipe calls for.
The diagram represents the number of pounds of potatoes that Mrs. Hanson needs.
How many pounds of potatoes does Mrs. Hanson need?
Enter your answer as a mixed number in simplest form by filling in the boxes. please hurry dont say what to add or mutply say the answer i am on k12
Answer:
3 9/16 lbs
Step-by-step explanation:
took quiz
-(7p+6)-2(-1-2p) what is that simplified pls help! And explain
Answer:
-3p-4
Step-by-step explanation:
-(7p+6)-2(-1-2p)
-7p-6+2+4p
-7p+4p-6+2
-3p-6+2
-3p-4
Write a rule for the linear function shown in the graph.
y = 4x – 3
y = –x + 4
y = 2x + 5
y = 1/4x +1
Answer: Answer is A. y = 4x - 3
Graph the line using the slope and y-intercept, or two points.
Slope: 2/ 5
y-intercept: ( 0 , − 1 )
x y
0 − 1
5/ 2 0
Step-by-step explanation:
How do you graph y=4x-3?
In graphing an equation, a very valuable graphing technique is the ability to recognize the kind of graph that a certain type of equation produces.
Any equation that is of the form y = mx + b is in the "slope-intercept" form for the equation of a straight line, where x and y are variables, where “m” is a real number representing the slope of a line, and where “b” is a real number representing the y-intercept of a line , i.e., the y-coordinate of the point of intersection between a straight-line graph and the y-axis.
Since the given equation y = 4x ‒ 3 is in the slope-intercept form, where m = 4 and b = ‒3, then it’s a linear equation and its graph is a straight line. Also, looking at the given equation, we know that the independent variable x can take on any real number as a replacement.
Now that we know that the graph of the given equation is a straight line and that there are no restrictions on the variable x, we need to determine and then draw the straight-line graph on a Cartesian (rectangular) coordinate system with the y-axis as the vertical axis and the x-axis as the horizontal axis. We know that two points determine a straight line; So, all we need to do is find the point where the straight-line graph of the given equation y = 4x ‒ 3 intersects the x-axis, i.e., the point of the x-intercept, and find the point where the straight-line graph of y = 4x ‒3 intersects the y-axis, i.e., the point of the y-intercept. Also, it would be a good idea to plot a third point as a check.
(1.) Determining the point of the x-intercept:
For any point on the x-axis, the y-coordinate is zero; therefore, in our given equation, let y = 0 and solve for x as follows:
y = 4x ‒3
0 = 4x ‒3
0 + 3 = 4x ‒3 + 3
(1/4)(4x) = (1/4)(3)
x = 3/4
Therefore, the x-intercept is x = 3/4, and the graph of the given equation y = 4x ‒3 intersects the x-axis at the point (3/4, 0).
(2.) Determining the point of the y-intercept:
To get the y-intercept, we can simply select it from the given equation y = 4x ‒3 which is already in slope-intercept form (y = mx + b), i.e., y = 4x ‒3 or y = 4x + (‒3); therefore, the y-intercept of the straight-line graph of the given equation is y = b = ‒3, which is the y-coordinate of the point of intersection between the straight-line graph of the given equation and the y-axis. Also, for any point on the y-axis, the x-coordinate is zero; therefore, the straight-line graph of the given equation intersects the y-axis at the point (0, ‒3).
(3.) Check Point
In generating a third point as a check point, choose a convenient value for x so that the corresponding value for the dependent variable y is nice and even. Let x = 2, then:
y = 4x ‒3
= 4(2)‒ 3
= 8 ‒ 3
y = 5
Consequently, the third point (check point) on the straight-line graph of the given equation is (2, 5).
(4.) Plot the points
Now, create the straight-line graph of the given equation by plotting the three points: (3/4, 0), (0, ‒3), and (2, 5) on a Cartesian (rectangular) coordinate system, and then use a straight edge to draw the straight line through all three plotted points. Draw the line past the two outer points and then draw an arrowhead at each “end” of the line to show that the line goes on indefinitely in both directions. NOTE: If the third point (2, 5)(the check point) is not on the drawn line, then go back and look for an error. The error was either made in finding the x- and y-intercepts, or the error was made in generating the coordinates of the check point, or both. When the error is found, make the appropriate correction(s), and then redraw the graph (straight line) of the given equation.
These are four steps that you can use to graph the given equation y = 4x ‒3 or any equation that is in the slope-intercept form for the equation of a straight line: y = mx + b.
122 cats
Mrs. Roberts is 3 times as old as her son. The sum of their ages is 48 years.
How old was Mrs. Roberts when her son was born?
Answer:
24
Step-by-step explanation:
To find how old Mrs. Roberts was when her son was born, we first need to know both of their ages. I'm going to give Mrs. Roberts the variable m and her son the variable s.
Let's turn the two sentences about their ages into equations:
m=Mrs. Roberts and 3s= three times as old as her son
m=3s
m+s is the sum of their ages
m+s=48
Now substitute the first equation into the second one:
m+s=48
(3s)+s=48
4s=48
s=12
The son is 12 years old. Now substitute s into one of the equations to solve for the mother's age:
m=3s
m=3(12)
m=36
Mrs. Roberts is 36. Since they are asking how old she was when her son was born, we will subtract her son's age from her age, since she would be 12 years younger:
36−12=24
Mrs. Roberts was 24 when her son was born.
credit to CountryGirl on Socratic Q&A
So hard. Dont reports I actually cant take the pictures off, I needed help with a question but they dont come off. Also what's the square root of 282.93?
Answer:
whegvrjrbel)hbrbeueuejneje
rewrite 1/2 3/4 as a unit rate
Answer: 3 / 8
Step-by-step explanation:
Answer:
The answer is 6:1
Step-by-step explanation:
Drag the top of the rectangle up and down in the tool below to explore the
functional relationship between the two shapes.
The ? is a function of the ?
Answer:
A.
Step-by-step explanation:
i just took it
Answer:
the answer is c I just did the test
-2x + 4 = -3x + 4
3
One Solution
No Solution
Infinite Solutions
Answer:
X=0 or no solution
Step-by-step explanation:
-2x+4=-3x+4
cancel equal terms on both sides of the equation
-2x=-3x
move the variable to the left-hand side and change its sign
-2x+3x=0
collect like terms
x=0
You deposit $1,600 in a bank account. The account pays 3% annual Interest compounded monthly. Find the balance after 5 years
Step-by-step explanation:
step 1. let's call the amount of money A, the initial amount P, the yearly rate r, the number of compounds per year n.
step 2. A = P(1 + r/n)^(nt)
step 3. A = 1600(1 + .03/12)^((12)(5)
step 4. A = 1600(1.0025)^(60)
step 5. A = $1858.59
in a survey about favorite breakfast foods 3/8 of those surveyed chose cereal,0.125 chose yogurt 0.1875 chose fruit and 5/16 chose toast wihch food got least numbers of votes
cereal is the least amount of numbers
a glass jar has 64 chocolate. mark, dave and ralph will share the chocolate in the ratio of 1:1:2, how many chocolates will each one of them get?
Step-by-step explanation:
64/(1+1+2)
= 64/4
= 16
1 : 1 : 2
mark = 1×16 = 16
dave = 1×16 = 16
ralph = 2×16 = 32
Step-by-step explanation:
hope it helps
please rate
Radius is 8 ft. whats the answer
Answer:
Area = 64pi, Circumfrence=2pi(8)
Step-by-step explanation:
Answer:
Depends. Down below.
Step-by-step explanation:
It depends.
Area of the circle = [tex]\pi[/tex] x [tex]8^{2}[/tex] ≈ 201.06 ft
Circumference of the circle = 2 x [tex]\pi[/tex] x 8 ≈ 50.27 ft