[tex]\huge\boxed{\text{$74$ girls}}\ \huge\boxed{\text{$106$ boys}}[/tex]
Hey there! This situation can be modeled and solved using a system of equations. We'll use [tex]b[/tex] to represent the number of boys and [tex]g[/tex] to represent the number of girls.
[tex]\displaystyle{\left \{ {{b+g&=180} \atop {b&=g+32} \right.}[/tex]
Since we know what [tex]b[/tex] equals, we can substitute it into the first equation.
[tex]\begin{aligned}b+g&=180\\(g+32)+g&=180&&\smash{\Big|}&&\text{Substitute.}\\2g+32&=180&&\smash{\Big|}&&\text{Combine like terms.}\\2g&=148&&\smash{\Big|}&&\text{Subtract $32$ from both sides.}\\g&=74&&\smash{\Big|}&&\text{Divide both sides by $2$.}\end{aligned}[/tex]
Now that we know the number of girls, use the second equation to get the number of boys.
[tex]\begin{aligned}b&=g+32\\&=74+32&&\smash{\Big|}&&\text{Substitute.}\\&=106&&\smash{\Big|}&&\text{Add.}\end{aligned}[/tex]
Solve the equation. Show all of your work. 1/59X + 60) = 2/3x- 2
Step-by-step explanation:
1/5x+60=2/3x-2
subtract 1/5x from 2/3x
when you do that you should get 0.46x repeating
then you add two to 60
you should get 62
62=0.46x
divide x
you get 134.7
how many 1/4 cup servings of sugar are in a container that has 7/12 of a cup
Answer:
7/3
Step-by-step explanation:
12 divided by 4 is 3
7 divided by 1 is 7
7/12 divided by 1/4 = 7/3
(ANSWER PLZ FOR BRAINLIEST!) A friend needs to make an equivalent ratio to 5/10 and is struggling on how to. Make an equivalent ratio to 5/10 and EXPLAIN to your friend how to make an equivalent ratio!!
Answer:
Some equivalent ratios 1:2 3:6 5:10 6:12
Step-by-step explanation:
basically its just 1/2 in a ratio form.
Answer:
either multiply or divide both the numerator and denominator by the same number.
Step-by-step explanation:
5/10 can be divided by 5/5 = 1/2
5/10 can be multiplied by say 2/2 = 10/20
The value of a car decreases by 20 percent per year. Mr. Sing purchases a $22,000 automobile. What is the value of the car at the end of the second year?
$14,080
$17,600
$19,800
$26,400
Answer:
$14,080
Step-by-step explanation:
You can use a formula for exponential decay, but since it is only 2 years, you can find 80% of the original value, and then 80% of the new value.
Original value: $22,000
Value after 1 year: 80% of $22,000 = 0.8 * $22,000 = $17,600
Value after 1 year: $17,600
Value after 2 years: 80% of $17,600 = 0.8 * $17,600 = $14,080
Answer: $14,080
Answer:
it is A , 14,080
Step-by-step explanation: edge 2021
Please help me out a soon as possible, thanks!
Larry plans to invest $275,000 for 30 years at an anticipated rate of 6% per annum compounded yearly. What is the approximate difference in his ending balance is the actual rate is 5% instead of 6%?
Answer:
c
Step-by-step explanation:
i had this problem before so i know
complete the equation of the line through (-9,-9) (-6,0)
Answer:
y=3x+18
Step-by-step explanation:
find the slope of the line with the formula m=(y1-y2)/(x1-x2) =-9-0/-9+6=-9/-3=3
then use the equation (y-y1)= m(x-x1) where you use slope m=3 and one of the points (y-0)=3(x+6), y=3x+18
find the slope of the graph write it as a fraction or whole number not a mixed number. find two points on the line (0,-4) and (3,0) slope = change in y / change in x
Answer:
The slope of the graph will be:
[tex]m=\frac{4}{3}[/tex]From the attached graph, it is clear that
the y-intercept is: (5, 0) ∵ to find the y-intercept, set x=0the x-intercept is: (0, -4) ∵ to find the x-intercept, set y=0Step-by-step explanation:
Given the two points on the line
(0, -4)(3, 0)[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:-4\right),\:\left(x_2,\:y_2\right)=\left(3,\:0\right)[/tex]
[tex]m=\frac{0-\left(-4\right)}{3-0}[/tex]
[tex]m=\frac{4}{3}[/tex]
Hence, the slope of the graph will be:
[tex]m=\frac{4}{3}[/tex]
We can also find the equation of the line using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = 4/3 and the point (0, -4)
[tex]y-\left(-4\right)=\frac{4}{3}\left(x-0\right)[/tex]
[tex]y+4=\frac{4}{3}\left(x-0\right)[/tex]
[tex]y+4=\frac{4}{3}x[/tex]
[tex]y=\frac{4}{3}x-4[/tex]
Therefore, the equation of the line will be:
[tex]y=\frac{4}{3}x-4[/tex]
The graph of the equation line is also attached below.
From the graph, it is clear that
the y-intercept is: (5, 0) ∵ to find the y-intercept, set x=0the x-intercept is: (0, -4) ∵ to find the x-intercept, set y=0The credit remaining on a phone card (in dollars) is a liner function of the total calling time made with the card (in minutes) the remaining credit after 30 minutes of calls is $15.20 of the remaining credit after 46 minutes of the Calls is $12.64 what is the remaining credit after 54 minutes of calls???
Answer:
Remaining credit = $11.36 [11 dollars and 36 cents]
Write the linear equation in slope-intercept form given the following. (-5, -11) and (-2, 1)
Answer:
y=4x+9
Step-by-step explanation:
In 91.72 which digit is in the tens place?
Answer:
9
ten's go for the number 10
91=9-1 9 in 90 so its 9.
so therefore your answer is 9
Step-by-step explanation:
A softball pitcher throws a softball to a catcher behind home plate. The softball is 3 feet above the ground when it leaves the pitcher’s hand at a velocity of 50 feet per second. If the softball’s acceleration is –16 ft/s2, which quadratic equation models the situation correctly?
h(t) = at2 + vt + h0
a) h(t) = 50t2 – 16t + 3
b) h(t) = –16t2 + 50t + 3
c) 3 = –16t2 + 50t + h0
d) 3 = 50t2 – 16t + h0
9514 1404 393
Answer:
b) h(t) = –16t^2 + 50t + 3
Step-by-step explanation:
If you put the given values in the given equation, you get ...
h(t) = at^2 + vt + h0
where a = -16, v = 50, h0 = 3
h(t) = -16t^2 +50t +3 . . . . . matches choice B
_____
Comment on the question
The given equation models the vertical height based on a vertical velocity of 'v'. It does not apply in the case where the horizontal velocity is v = 50 ft/s. None of the answer choices correctly models the situation where the pitcher is throwing toward the catcher.
what is 349.565 rounded to the nearest tenth
Answer:
349.60
Step-by-step explanation:
A) 37
C) 40
B) 30
D) 36
Find the value of x
Answer: 30
Step-by-step explanation:
180=88+3x+2
180=90+3x
90=3x
x=30
Answer:
THEN, the value of n is
(A) 37
(B) 30
(C) 40
(D) 36
answer is B)30
Step-by-step explanation:
Hope this helped!
Mark me brainliest if so! :) thankssss
what is 5y+22=5x-33 in slope-intercept form
Answer:
y=x-11
Step-by-step explanation:
5y+22=5x-33
5y=5x-33-22
5y=5x-55
y=x-11
Answer:
Step-by-step explanation:
First collocate the equation
5y+55=5x
Divide the equation 5
y+11=x
y=x-11
Help help help help help
Answer:
I think it is A ..... ........
if f(x) =-x^2+2x find f (3) -7
Jylene and her brother had a total of $35.19 to buy school supplies. Jylene's school supplies cost $12.78. Her brother's school supplies cost slightly more than $9. About how much money did they have left after buying school supplies?
Answer:
13.41
Step-by-step explanation:
Answer:
13.31
Step-by-step explanation:
First do 35.19-12.78=22.41
I assume slightly more than $9 is .1
then subtract 22.41-9.1=13.31
make a conjecture about the next item in the sequence, 7/8, 6/7, 5/6, 4/5 , 3/4
Answer:
2/3
Step-by-step explanation:
Find the perimeter of the isosceles triangle in simplest radical form.
9514 1404 393
Answer:
6 +8√5
Step-by-step explanation:
The leg length can be reduced to simpler form:
3 +√45 = 3 +√(3²·5) = 3 +3√5
The perimeter is the sum of the side lengths, so is ...
(3 +3√5) +(3 +3√5) +(2√5) = 6 +8√5 . . . perimeter
Write a function to represent the set of ordered pairs.
{(2, 2), (3,7). (4, 14), (5,23)}
Answer:
Step-by-step explanation:
The set of ordered pairs {(1 , 7) , (−1 , 7) , (8 , −6) , (−3 , 2)} is a function
The set of ordered pairs {(4 , 7) , (−1 , 2) , (4 , −6) , (−3 , −2)} is not a
function
The set of ordered pairs {(3 , 7) , (−1 , 2) , (−4 , −2) , (−3 , −2)} is a function
The set of ordered pairs {(−3 , 7) , (1 , 2) , (4 ,−2) , (12,−4)} is a function
An ordered pair represents a relationship between two values
The first value is the input the second value is the output
1. A relation is a set of inputs and outputs
2. A function is a relation with one output for each input
3. All functions are relations
{(1 , 7) , (−1 , 7) , (8 , −6) , (−3 , 2)}
∵ Each x-coordinate in each ordered pair has only one y-coordinate
∴ The relation above is a function
The set of ordered pairs {(1 , 7) , (−1 , 7) , (8 , −6) , (−3 , 2)} is a function
{(4 , 7) , (−1 , 2) , (4 , −6) , (−3 , −2)}
∵ The x-coordinate 4 has two values of y (7 and -6)
∴ The relation above is not a function
The set of ordered pairs {(4 , 7) , (−1 , 2) , (4 , −6) , (−3 , −2)} is not a
function
{(3 , 7) , (−1 , 2) , (−4 , −2) , (−3 , −2)}
∵ Each x-coordinate in each ordered pair has only one y-coordinate
∴ The relation above is a function
The set of ordered pairs {(3 , 7) , (−1 , 2) , (−4 , −2) , (−3 , −2)} is a function
{(−3 , 7) , (1 , 2) , (4 ,−2) , (12,−4)}
∵ Each x-coordinate in each ordered pair has only one y-coordinate
∴ The relation above is a function
The set of ordered pairs {(−3 , 7) , (1 , 2) , (4 ,−2) , (12,−4)} is a function
Need help ASAP will give brainlist
Answer:
y=√2x is the answer.....
8 + 8r = 3 + 3r can anyone can help me out
Answer:r = -1
Step-by-step explanation:
8+8r-(3+3r)=0
We add all the numbers together, and all the variables
8r-(3r+3)+8=0
We get rid of parentheses
8r-3r-3+8=0
We add all the numbers together, and all the variables
5r+5=0
We move all terms containing r to the left, all other terms to the right
5r=-5
r=-5/5
r=-1
Hope this helps
Can someone tell me answer plz
The answer would be A
Answer:
I believe it's D.
Explanation:
The line goes one square down and 3 squares to the right
Brad has as many brothers as he has sisters. How many more brother than sister does his sister sue have
help
Answer: Sue has 1 more brother than sisters
Step-by-step explanation:
A cheetah can run 97 km/hour. How fast can it run in 90 seconds? Round your answer
to the nearest hundredth.
The cheetah can run 2.42 km in 90 seconds
Calculating distanceFrom the question, we are to determine how fast the cheetah could run in 90 seconds
First, we will convert the speed to meter/seconds
The given speed = 97 km/hour
97 km/ hour = (97 × 1000 /3600) m/s
97 km/hours = 26.9444 m/s
Now, using the formula,
Distance = Speed × Time
From the given information,
Time = 90 seconds
∴ Distance = 26.9444 × 90
Distance = 2424.996 m
Distance = 2.424996 km
Distance ≅ 2.42 km
Hence, the cheetah can run 2.42 km in 90 seconds
Learn more on Calculating distance here: https://brainly.com/question/11107806
#SPJ1
Cold weather is hard on Ava’s grandmother, so she is knitting her a striped scarf for her birthday. As Ava was knitting the scarf she made a mistake. She has to 0.75 feet of the scarf, and now the remaining part is only 4.75 feet long. Which equation will help find the total length of the scarf, s, before it was unraveled?
Answer:
4.75+0.75
Step-by-step explanation:
The equation that help find length of scarf is l = 0.75 + 4.75
What is a sum?The result of adding two or more numbers is called a sum.
Given,
Length of striped scarf = 0.75 feet
Length of remaining scarf = 4.75 feet
Total length = Length of striped scarf + Length of remaining scarf
Hence, l = 0.75 + 4.75
To learn more about addition visit:
https://brainly.com/question/29464370
#SPJ1
what is the measure of x°
Answer:
58 degrees
Step-by-step explanation:
90-32=58
This angle is a 90 degree angle
Which fraction converts to a repeating decimal number? A. B. C. D. E.
Answer: 1/3
Step-by-step explanation:
Answer:
it 1/12
Step-by-step explanation:
Help with this please
Answer:
(7,4)
Step-by-step explanation:
When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative. (7,8)
Afterwards, four units down means changing the y coordinate we have, thus making our (8) into (4.)
Hope this helps!
Make g the subject of the formula.
w = 7 - [tex]\sqrt{7}[/tex]
