Answer: A) The equation will be x + 4x + x + 10 = 82 B) Paul's age is 12, Rebecca's age is 48 and Gemma's age is 22.
Step-by-step explanation:
We will represent Paul's age by the equation p= x where p is Paul
We will represent Rebecca's age by the equation r = 4x Where r is Rebecca
We will represent Gemma's age by the equation g = x + 10 where g is also Gemma's age.
We given that the sum of their ages is 82 years so meaning that x + 4x + x + 10 has to equal 82.
A) The equation will be x + 4x + x + 10 = 82
Solve for the x equation to find Paul age because his age is x.
B) (x) + (4x) + (x+10) = 82 combine like terms on the left side
6x + 10 = 82
-10 -10
6x = 72
x= 12
Paul age is 12.
r= 4(12)
r = 48
Rebecca's age is 48.
g= 12 +10
g= 22
Gemma's age is 22.
rx:
x – 6 = -3x + 22
Answer:
X= 7
Step-by-step explanation:
Graph the system of linear inequalities on the coordinate plane.
y [tex]\geq[/tex] 1/2x + 2 1/2
y< 1/5 x + 6
a. Shade the solution to the system of inequalities.
b. Pick a point and show your solution is correct.
Answer: Images of Graphs are listed below. I am unsure on how to conduct the second part. but there is the first part
Step-by-step explanation:
A circle has a diameter of 18 inches. If 1 inch is approximately 2.54 centimeters, what is the diameter in centimeters?
A) 5.9 centimeters
B) 45.7 centimeters
C) 20.5 centimeters
D) 42.3 centimeters
Suppose you scored an 80 on a measure where the mean is 65 and the standard deviation is 5. How many standard deviations from the mean is your score
Answer:
The score is 3 standard deviations from the mean
Step-by-step explanation:
To find this, we simply calculate the z-score
Mathematically;
z-score = (x-mean)/SD
In this question , x = 80
mean = 65
SD = 5
Thus;
z-score = (80-65)/5 = 15/5 = 3
Show that each conjecture is false by finding a counterexample.
1.For any integer n, n3 > 0.
2. Each angle in a right triangle has a different measure.
3.For many years in the U.S, each bank printed its own currency. The variety of different bills led to widespread counterfeiting. By the time of the Civil War, a significant fraction of the currency in circulation was counterfeit. If one soldier had 48 bills, 16 of which were counterfeit, and another soldier had 39 bills, 13 of which were counterfeit, make a conjecture about what fraction of bills were counterfeit at the time of the Civil War.
Answer:
1. [tex]n: n^3 > 0[/tex] is not true for negative integers
2. [tex]45\ and\ 45[/tex] show that all angles do not have different measure
3. [tex]Fraction = \frac{1}{3}[/tex]
Step-by-step explanation:
Solving (1):
[tex]n: n^3 > 0[/tex]
Take
[tex]n = -1[/tex]
[tex]-1^3 = -1[/tex]
[tex]n: n^3 > 0[/tex] is not true for negative integers
Solving (2):
The angles of a right angled triangle are:
[tex]45, 45\ and\ 90[/tex]
[tex]45\ and\ 45[/tex] show that all angles do not have different measure
Solving (3):
When
[tex]Bills = 48[/tex]
[tex]Counterfeit = 16[/tex]
The fraction is calculated as thus:
[tex]Fraction = \frac{Counterfeit}{Bills}[/tex]
[tex]Fraction = \frac{16}{48}[/tex]
[tex]Fraction = \frac{1}{3}[/tex]
Similarly, when
[tex]Bills = 39[/tex]
[tex]Counterfeit = 13[/tex]
[tex]Fraction = \frac{Counterfeit}{Bills}[/tex]
[tex]Fraction = \frac{13}{39}[/tex]
[tex]Fraction = \frac{1}{3}[/tex]
A light bulb consumes 3450 watt-hours-in 5 days and 18 hours. How many watt-hours does it consume per day
Answer:
5 days = 5 * 24 = 120 hours
120 + 18 = 138hours
3450/138 * 24 = 600 watt hours
600watt hours
what is the slope of the line shown below?
Answer:
A
Step-by-step explanation:
the answer is A because you can tell the line has a negative slope since its going from left to right rather than right to left and then you do rise/run so the rise=2 and the run=3 so the answer for slope would be -2/3
Answer:
-2/3
Step-by-step explanation:
First you need to find two exact points the use your formula. I used (0,1) and (-3,3).
y2-y1 / x2-x1
Or just use rise over run and count up 2 and across to the left 3 and also realize it's a negative slope going down from the left so your answer will be negative.
I hope I helped you. You can comment if you need anymore help.
escribe el número igaul a 5 decenas y 13 unidades
Answer:
63
Step-by-step explanation:
Six times the sum of a number and eight is 18 find the number
Answer:
-5
Step-by-step explanation:
Find the number with the equation 6(x + 8) = 18
solve for x to get -5
Step-by-step explanation:
6*(x+8)=18
x+8=18/6=3
x=3-8=-5
prove
(-5+8)+(-5+8)+(-5+8)+(-5+8)+(-5+8)+(-5+8)=
3+3+3+3+3+3=18
The US emerged as a world power because of its success in
A. the Korean War
B. World War I
C. World War II
D. the Cold War
Answer:
its c
Step-by-step explanation:
trust and dont vote me out! its not me i sware its cyan he sus!
Answer:
It's C
Step-by-step explanation:
- Austin is paid a salary of $350 weekly. What are his yearly earnings?
Answer:
average, he earns 16,800 dollars in 1 year
Step-by-step explanation:
he is paid 350 dollars a week
there are 4 weeks in a month and 12 months in 1 year.
350*4=1400
1,400*12 is 16,800.
Review the graph.
On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z 1 is (4, negative 3) and point z 2 is (negative 3, 2).
Suppose z3 = z1 – z2.Which quadrant contains z3?
quadrant I
quadrant II
quadrant III
quadrant IV
The position of z3 is (d) quadrant IV
The given parameters are:
[tex]\mathbf{z_1 = (4,-3)}[/tex]
[tex]\mathbf{z_2 = (-3,2)}[/tex]
The expression for z3 is given as:
[tex]\mathbf{z_3 = z_1 -z_2}[/tex]
So, we have:
[tex]\mathbf{z_3 = (4,-3) - (-3,2)}[/tex]
This gives
[tex]\mathbf{z_3 = (4 + 3,-3 - 2)}[/tex]
[tex]\mathbf{z_3 = (7,-5)}[/tex]
When the x-coordinate is positive, and the y-coordinate is negative, the point is in the fourth quadrant.
Hence, the position of z3 is (d) quadrant IV
Read more about quadrants at:
https://brainly.com/question/20226319
please i need some help due in some mins
A rectangular prism has dimensions of 2 cm by 2 cm by 5 cm.
What is its surface area?
Show your reasoning.
I got 48 cm2
Answer:
i got 48
Step-by-step explanation:
2(5*2)
2(2*5)
2(2*2)
is 33 a prime or a composite number
Answer:
A composite number
Step-by-step explanation:
because it is possible to express it as a product of prime factors. In other words, 33 can be divided by 1, by itself and at least by 3 and 11. So, 33 is a 'composite number'.
Make 3 1/2 cakes in 20 minutes how many cakes can you make in two hours
Answer:
17
Step-by-step explanation:
3 1/2+3 1/2=5 which is 40 min
5=40mins
5+3 1/2=81/2
1 hour=8 1/12
8 1/2+8 1/2= 17
17 in two hours
Evaluate each expression if a=5, b= -8, and c= -9.
g. b-10
h. a-b
I. c-a
Answer:
g. -18, h. 13, I. -14
Step-by-step explanation:
g. b-10=-8-10=-18
h. a-b=5-(-8)=5+8=13
I. c-a=-9-5=-14
At one gas station, gas costs $2.75 per gallon. Write an equation that relates the total cost, C , to the number of gallons of gas purchased, g.
Answer:
C = 2.75g
Step-by-step explanation:
The total cost of the gas purchased is the product of the price per gallon and the number of gallons.
Hope this helps. :)
Write an equation to find the nth term of each sequence.
7, 13, 19, 25....
Answer:
6n+1
Step-by-step explanation:
n=term#
The rectangle below has been enlarged by a scale of 3.5
Answer:
D: 588
Step-by-step explanation:
The rectangle below has been enlarged by a scale of 3.5
8 x 3.5 = 28
6 x 3.5 = 21
Four different paints are advertised as having the same drying time. To check the manufacturer's claims, five samples were tested for each of the paints. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. The following data were obtained.
Excel or Minitab users: The data set is available in file namedPaint.
Paint 1 Paint 2 Paint 3 Paint 4
128 144 133 150
137 133 143 142
135 142 137 135
124 146 136 140
141 130 132 153
At the = .05 level of significance, test to see whether the mean drying time is the same for each type of paint. Compute the values identified below:
1. Sum of Squares,Treatment
2. Sum of Squares,Error
3. Mean Squares,Treatment
4. Mean Squares,Error
Answer:
Explained below.
Step-by-step explanation:
The data provided is for the dying time of four different types of paint.
One-way ANOVA can be used to determine whether all the four paints have the same drying time.
Use Excel to perform the one-way ANOVA.
Go to Data → Data Analysis → Anova: Single Factor
A dialog box will open.
Select the data.
Select "Grouping" as Columns.
Press OK.
The output is attached below.
The required values are as follows:
(1)
Sum of Squares of Treatment (Between Subjects):
SST = 330
(2)
Sum of Squares of Error (Within Subjects):
SSE = 692
(3)
Mean Squares Treatment (Between Subjects):
MST = 110
(4)
Mean Squares Error (Within Subjects):
MSE = 43.25
Use the Pythagorean Theory and the following information to determine the length of the third side of a right triangle which has a hypotenuse of 30 and leg “a” equal 18
Will mark brainliest, need FAST!!! also, make sure to explain why. and note that it’s 30 mph FASTER on the return trip, not 30 mph back. But I will mark brainliest, please answer!!!!!
Answer:b
Step-by-step explanation: first find the constant of proportionality (y=Kx) and substitute k for 10 because 30/3=10 and then your equation should look like y=10x now see the hours because the person travels 10 mph
2,76,212+2628 = ______ +2,76,212
Answer:
555052
Step-by-step explanation:
Please help, I’ve been stuck
Follow the steps to find the value of x
1.Addition property of equality.
1/5(x)-2/3=4/3
1/5(x)-2/3+2/3=4/3+2/3
2.Multiplicative property if equality.
1/5(x)5/1=6/3(5/1)
The solution is x=
Answer:
its 10
Step-by-step explanation:
I got it right
-9|-x+5|=0
Solve for x.
Answer:
x=5
Step-by-step explanation:
-9|-x+5|=0
Divide by -9
|-x+5|=0
The are normally two solutions, one positive and one negative, but +0=-0=0
-x+5 =0
Add x to each side
-x+5+x =0+x
5 =x
where does 17 lie between
Convert 2∘F to ∘C round to one decimal place
Answer:
-16.7
Step-by-step explanation:
(2°F − 32) × 5/9 = -16.7°C
What is 6cm into inches
Answer:
2.3622
Step-by-step explanation: