Answer:
x + y = 32 (1)
3x + 4y = 120 (2)
x = 8; y = 24
Step-by-step explanation:
Total students = 120
Number of groups = 32
If the number of three person groups = x
Number of four person groups = y
write a system of equations that models this situation
x + y = 32 (1)
3x + 4y = 120 (2)
From (1)
x = 32 - y
Substitute x = 32 - y into (2)
3(32 - y) + 4y = 120
96 - 3y + 4y = 120
- 3y + 4y = 120 - 96
y = 24
Substitute y = 24 into (1)
x + y = 32
x + 24 = 32
x = 32 - 24
x = 8
x = 8; y = 24
laura graphed the function below y = 1 / 2(One over two)x + 4
if the range of the function is restricted to 2 ≤ y ≤ 6, what is the domain?
Step-by-step explanation:
y = 0.5x + 4
When y = 2, x = -4. (shown in graph)
When y = 6, x = 4. (shown in graph)
Hence the domain would be -4 <= x <= 4.
Solve this system of linear equations. Separate
the x- and y-values with a comma.
16x = 84 - 2y
14x = 72 - 2y
Answer:
6x = 84 - 2y
14x = 72 - 2y
Step-by-step explanation:
Anyone good at math? will give brainlest to correct
A product goes from $25 to $27 in price.
The product has a percent increase of _____.
Answer:
8%
Step-by-step explanation:
27 - 25 = 2
2/25 x 100 = 8%
8% increase
answer is 8%
Answer:
8%
Step-by-step explanation:
2/25 is equal to 8/100 so therefore it is 8%
A CD that has a regular price of $15.50 is on sale at a 25% discount. What is the sale price with a 7% sales tax? Round to the nearest cent.
Answer:
The answer should be $12.43
help plz i’ll give extra points
Answer:
240
Step-by-step explanation:
240 + 60 = 300 you can tell this by realising that ratio to have 4x one over the other would be 20 per 100, using this rate 3x, 240 and 60
Answer:
x = 60
Step-by-step explanation:
Length of small piece = x
length of large piece = 4x
x+ 4x = 300
5x = 300
x = 60
150% of 150 is what number? (15 points I think?)
225 percent
Step-by-step explanation:
150 is the whole and 150 divided by 150 is 1.
1 whole is 100 percent
Answer:
225 will be correct
Step-by-step explanation:
Eddie has saved up $45 to purchase a new camera from the local store. The sales tax in his county is 7% of the sticker price. Write an equation and solve it to determine the value of the highest priced camera Eddie can purchase with his $45, including the sales tax. Round your answer to the nearest penny
Answer:
hi
Step-by-step explanation:
=================================================
Explanation:
x = price of camera before tax
1.07x = price of camera after tax
note how 1.07 is the result of 1 + 0.07
1 = 100%
0.07 = 7%
1.07 = 107%
So 1.07 means the price has gone up by 7%
Set 1.07x equal to 45 and solve for x
1.07x = 45
x = 45/1.07
x = 42.0560747663551
x = 42.06
The highest price Eddie can afford is $42.06, which is the value of the camera before tax is applied
--------------------
note how 7% of 42.06 = 0.07*42.06 = 2.9442 = 2.94
So the tax is $2.94 which adds onto the $42.06 to get
2.94+42.06 = 45
What is an equation of the line that passes through the points (-4,-1) and (2, 8)?
Answer: y=(3)/(2)x+5
Step-by-step explanation:
pythagorean theorem
find a third side in the simplest radical form:)
will give brainist and 20 points:)
Answer:
well for me
Step-by-step explanation:
hypotenus square=opposite square+adjacent square
H^2=O^2+A^2
H^2=3^2+9^2
H^2=9+81
H^2=90
H=✓90
H=9.487
H=9.5
The largest ball of yarn ever created has a radius of 6 feet. It took 30 years to create.
Using 3.14 for pi which choice is the volume of the ball of yarn nearest hundred
87.85 cubic feet
150.72 cubic feet
834.68 square feet
904.32 cubic feet
Answer:
904.32 cubic ft
Step-by-step explanation:
To find the volume of a sphere, the formula is [tex]4\pi\frac{r^3}{3}[/tex]
First, 3.14 * 4 for 12.56.
The radius is 6, and that cubed is 216.
After that, divide 216 by 3 for 72
Then, 12.56 times 72, which gets you the final answer of 904.32 cubic ft.
(10 * 72) + (2 * 72) + (0.5 * 72) + (0.06 * 72)
720 + 144 = 864
864 + 36 = 900
900 + 4.32 = 904.32
Your answer is D, I took the test.
Pls pick one option to help me out
option is c=2/3
2/3+ 1/7 = 17/21
Which of the following is the position of median? *
(N+1)/4 item
3(N+1)/4 item
3(N+1)/2 item
(N+1)/2 item
Answer:
(N+1)/2 item
Step-by-step explanation:
(N+1)/2 item is the correct answer.
Divide.
2/3÷4/5 please help!!!
Answer:
5/6
Step-by-step explanation:
2/3 ÷ 4/5
~Copy Dot Flip
2/3 * 5/4
~Multiply
10/12
~Simplify
5/6
Best of Luck!
Answer:
5/6
Step-by-step explanation:
Keep Change Flip
2/3 x 5/4 = 10/12
10/12 simplifies to 5/6
EEEEeee Can someone help?
Answer:
5.61 billion dollars.
Step-by-step explanation:
4.61+1.03=5.61
Answer:
0.223
Step-by-step explanation:
Change the divisor 4.61 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.
We then have the equations:
103 ÷ 461 = 0.223
and therefore:
1.03 ÷ 4.61 = 0.223
Both calculated to 3 decimal places.
What is the slope of the line?
Answer:
-1
Step-by-step explanation:
Remember, slope is rise/run
Start from a point on the line and count up and over until you reach another point on the line.
For example, start from (0,-2), count up and left until you get to (-2,0). This gets you 2/2, which reduces to 1.
Since the line represents a negative slope, the slope is -1.
How many real and imaginary roots are there?
Answer:
5
Step-by-step explanation:
hep asap! i will mark you brainliest
Answer:
The second box for b will be 7
Step-by-step explanation:
If c = 10 , b = 5
If c = 14 , b = 7
If c = 18 , b = 9
If c = 22 , b = 11
If c = 26 , b = 13
Answer:
7
Step-by-step explanation:
I know
8h-19 for h=4 please help me I need help !?
Answer:
13
Step-by-step explanation:
you have to do 8 times 4 minus 19
hope this helps dont 4get to like and star
-mercury
Answer:
13
Step-by-step explanation:
Given
8h - 19 ← substitute h = 4 into the expression
= 8(4) - 19
= 32 - 19
= 13
Triangles 1 and 2 are both isosceles. They each have a 30 degree angle. Explain why these triangles don't have to be similar to each other.
Step-by-step explanation:
Triangle 1 can have 30°, 75° and 75° angles whereas Triangle 2 can have 30°, 30° and 120° angles.
Since they do not have all 3 congruent angles, they are not similar.
whats the answer?!?!?
Answer:
3 + 5 + 7
Step-by-step explanation:
In addition it does not matter what order the numbers are in.
A cylindrical water vessel of diameter 1.4 m holds 770 litres of water. find the height of the vassel
Answer:
Answer at the bottom!!
Step-by-step explanation:
Given the diameter of cylinder = 1.4 m
=> Radius = 1.4/2 = 0.7 m
We know that volume of a cylinder = πr²h
= 3.14 x 0.7² x 2.1= 3.23 m³
For the pipe radius = 3.5/2 = 1.75 cm = 0.0175m
water flows at a rate of 2 m per second
So, volume of water discharged in one second by pipe = πr²L
= 3.14 x 0.0175² x 2=0.0019
Hence time taken by the pipe to fill the cylinder
= 3.23/0.0019= 1700 sec
= 28 minutes and 20 seconds
Hence the time taken by the pipe to fill the cylinder is 28 minutes and 20 seconds.
Hope this helps!!
i. After how many weeks will Jennifer and William have the same amount of money in their bank accounts?
ii. How much will be in their accounts?
Answer:
5 weeks$100Step-by-step explanation:
Part iJennifer's account:
f(x) = 10x + 50William's account can be expressed as:
g(x) = 14x + 30Because the rate of change is 14 and y-intercept is 30
They will be same after x years, f(x) = g(x)
10x + 50 = 14x + 3014x - 10x = 50 - 304x = 20x = 5The accounts will be same after 5 weeks
Part iiThe amount in the accounts after 5 weeks:
f(5) = g(5) = 10*5 + 50 = $100Answer:
5 weeks
Step-by-step explanation:
Find the equation of willam's account:
1. find rate x1-x2
44-30 plug in
14 =rate 30=y-intercept starting valuse is always intercept
44+14=58 check
f(x)= 10x+50
f(x)= 14x+30 solve
10x+50=14x+30 set values together
20=4x subtract 10x and 30 from both sides
x=5
Hi I need to figure if this is a function?
Answer:
no it is not a function
Step-by-step explanation:
function- for every input there is only one output
(1,7),(2,13),(3,13) it has two 13 so it is not a function
When Keisha installed a fence along the 200-foot perimeter of her rectangular backyard, she left an opening for a gate. In the diagram below, she used x to represent the length, in feet, of the gate.
.
What is the value of x, if the equation 2(x + 60) + 2(30) = 200 represents the Perimeter for the fencing of the backyard?
Answer:
Step-by-step explanation:
From the picture attached, equation of the perimeter of the fence of the backyard should be,
(x + 60) + (60) + 2(30) = 200
x + 2(60) + 2(30) = 200
x + 120 + 60 = 200
x + 180 = 200
x = 200 - 180
x = 20 ft
If the given equation for the perimeter for the fencing of the backyard (As given in the question) is,
2(x + 60) + 2(30) = 200
2x + 120 + 60 = 200
2x + 180 = 200
2x = 20
x = 10 ft
Answer:
2(x + 60) + 2(30) = 200
2x + 120 + 60 = 200
2x + 180 = 200
2x = 20
x = 10 ft
Can someone draw like how to divide 12/5
Answer:
12 divide by 5 is easy lemme show you
Step-by-step explanation:
The stuff on the left
multiplicaiton problem where both factors are fractions and the product is less than the factors ANSWER NOW PLEASE
Answer:
There is no question attached.
Step-by-step explanation:
Answer:
1/5 * 1/2 = 1/10
Step-by-step explanation:
Choose any two factor fractions less than 1. The result (product) will be necessarily smaller than each of the factors. Above answer is an example
1/5 * 1/2 = 1/10, where it is clear that
1/10 < 1/5 and
1/10 < 1/2
Which figure has line symmetry?
O A.
F
O B.
H
O C.
J
O D.
L
O E.
R
Answer:
??????
Step-by-step explanation:
Answer:
???
Step-by-step explanation:
IM LITTERLY ON A MEET whats 4.01 in word form? Mixed number form?
Answer:
Four and one hundreds
Step-by-step explanation:
Answer:
word form: four and one hundredth
mixed number: 4[tex]\frac{1}{100}[/tex]
Step-by-step explanation:
four and one hundredth
4[tex]\frac{1}{100}[/tex]
Algebra - Two Questions
1. A system of linear equations is shown below as well as the first steps that Raffi is using to solve this system of linear equations by substitution. Choose the statement that best describes how Raffi is progressing toward a solution.
7x+y=4
3x−2y=3
Solution: Solve the first equation to obtain y=−7x+4. Substitute this into the second equation to get 3x−2⋅−7x+4=3.
2. Solve the following system by the substitution method.
2x−y=−4
−5x+3y=14
Answer:
The answer is below
Step-by-step explanation:
1) Below are the linear equations.
7x+y=4 (1)
3x−2y=3 (2)
The above linear equations are a system of equations. The substitution method is a technique for solving systems of linear equations.
Given that:
7x + y = 4
y = 4 - 7x
substitute y = 4 - 7x in equation 2, hence:
3x - 2(4 - 7x) = 3
3x - 8 + 14x = 3
17x = 3 + 8
17x = 11
x = 11/17
Put x = 11/17 in y = 4 - 7x
y = 4 - 7(11/17)
y = -9/17
2) 2x−y=−4 (1)
−5x+3y=14 (2)
From equation 1:
2x−y=−4
y = 2x + 4
Put y = 2x + 4 in equation 2:
-5x + 3(2x + 4) = 14
-5x + 6x + 12 = 14
x + 12 = 14
x = 2
Put x = 2 in y = 2x + 4:
y = 2(2) + 4
y = 8
Answer:
1. Raffi forgot to place the substituted expression in parentheses.
2. (2, 8)
Step-by-step explanation:
If you are taking the Solving Systems With Substitution Quick Check from Connexus here are all of the answers:
1. Solve one linear function in terms of one of its variables.
2. Substitute 3y from the second equation for x in the first equation.
3. Raffi forgot to place the substituted expression in parentheses.
4. Yes, because substituting the given ordered pair yields two true expressions.
5. (2, 8)
A new health drink has 150% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 50 mg. How many milligrams of the vitamin are in the drink? There are nothing mg of the vitamin in the drink.
Answer:
the number of milligrams of the vitamin in the drink is 75 mg
Step-by-step explanation:
The computation of the number of milligrams of the vitamin in the drink is as follows:
= RDA of the vitamin × given percentage ÷ percentage
= 50 mg × 150 ÷ 100
= 75 mg
hence, the number of milligrams of the vitamin in the drink is 75 mg
We simply applied the above formula so that the correct value could come
And, the same is to be considered