which expression is equivalent to (5y+4) - 2 (7 - 2)
A. y-10
B. 9y+18
C.3y - 10
D. 9y-10
1) Simplify x + 2x by adding the like terms.
x
2x
3x
2) Simplify y - y + y + y by adding the like terms.2y
3y
4y
5y 4x
Answer this question: a family of 4 people consumes 5000 grams of fish every week. how much fish will the family consume in an year? find the answer in kilograms.
az-qb=yz solve for z and justify each step
If 8 cakes cost £4.00 how much would 3 cakes cost?
A particular fruit's weights are normally distributed, with a mean of 611 grams and a standard deviation of 28 grams. The heaviest 2% of fruits weigh more than how many grams? Give your answer to the nearest gram.
Anna plants peas in 3/8 of her garden and herbs in 1/8 of it . She divides The rest of the garden into 6 sections. What fraction of the original garden is each section
The six sections would be 1/12
19 tens + 11 tens equal
What is the area of this figure?
X over five equals three over four
Final answer:
The equation 'x over five equals three over four' is solved by cross-multiplying to get 4x = 15, and then dividing both sides by four to find x = 3.75.
Explanation:
The equation presented by the student 'x over five equals three over four' translates to the algebraic equation x/5 = 3/4. Solving this involves finding the value of x that makes the equation true. To solve for x, we can cross-multiply to get 4x = 15, and then divide both sides of the equation by four to isolate x, giving us x = 15/4 or x = 3.75. Thus, the solution to the equation x/5 = 3/4 is x = 3.75.
I NEED HELP ON QUESTION #4
When 8 is added to the number that is produced by doubling the number x, the result is equal to 8 times the number that is 5 less than x. What is the value of x?
can someone help me i am confused
Answer:
It is 8
Step-by-step explanation:
Joe went to the hobby shop and bought 2 model sports cars at $8.95 each and some paints. If he spent a total of $23.65, what was the cost of the paints
if you vertically compress the absolute value parent function f(x)=|x| by a factor of 3 what is the equation of the new function
Answer:
The equation for new function is [tex]y=\frac{1}{3}|x|[/tex]
Step-by-step explanation:
We have been given the absolute value parent function f(x) = |x| and this function is vertically compressed by a factor 3.
If we multiply the function with a constant (say a) then the parent function will get stretch/compressed vertically.
We have below conditions for vertical stretch and compression.
a > 1 => vertically stretch
0 < a < 1 => vertically compression
Hence, in order to vertical compression by a factor 3, we have to multiply the whole function by 1/3
Therefore, the equation for new function is [tex]y=\frac{1}{3}|x|[/tex]
Answer:
g(x) = 1/3 |x| !
Step-by-step explanation:
I hope this helps!
What is the factor pairs of 78
Can someone please answer this question here are the answers to the question:
A. 1,209 square feet
B. 1,298 square feet
C. 869 square feet
D. 699 square feet
WILL GIVE BRAINLIEST ANSWER
What is the area of Triangle PQR on the grid?
2 square units
3 square units
4 square units
8 square units
PQ = 2 units
height = 4 units
area = 2*4 = 8/2 = 4 square units
what value of c makes the statement true? -2x^3(cx^3+x^2)=-10x^6- 2x^5
the soccer club has planned a trip to a tournament . the cost of the van is $192. when 2 students who are not members of the club join the trip , thw transportation cost per person drops by $3.20. how mant soccer club members are gpoing to the tournament
Answer:
10 soccer club members are going to the tournament.
Step-by-step explanation:
Let x be the number of soccer club members who are going to the tournament,
Given,
The cost of transportation of x students = $ 192
⇒ The cost of transportation of 1 student = [tex]\frac{192}{x}[/tex]
⇒ The cost of transportation of (x+2) student = [tex]\frac{192}{x-2}[/tex]
According to the question,
[tex]\frac{192}{x}-\frac{192}{x+2}=3.20[/tex]
[tex]192(\frac{1}{x}-\frac{1}{x+2})=3.20[/tex]
[tex]192(\frac{x+2-x}{x(x+2)})=3.20[/tex]
[tex]\frac{384}{x^2+2x}=3.20[/tex]
[tex]3.2x^2+6.4x=384[/tex]
[tex]3.2x^2+6.4x-384=0[/tex]
By the quadratic formula,
[tex]x=\frac{-6.4\pm \sqrt{40.96+4915.2}}{6.4}[/tex]
[tex]\implies x = \frac{-6.4\pm 70.4}{6.4}[/tex]
[tex]\implies x = 10\text{ or } x = -12[/tex]
Since, the number can not be negative,
Hence, 10 soccer club members are going to the tournament.
To find the number of soccer club members going to the tournament, we set up an equation based on the total cost of the van and the drop in cost per person when two additional students join. Solving the quadratic equation reveals that the number of soccer club members is 10.
Explanation:The question asks us to determine the number of soccer club members going to the tournament given that the cost of the van is $192 and that the cost per person drops by $3.20 when 2 additional students join the trip. Let's denote the number of club members as 'x'. Before the 2 students join, the cost per person is $192 / x. After they join, the cost per person becomes $192 / (x + 2), which is $3.20 less than the original cost per person, so:
192 / x - 192 / (x + 2) = $3.20
Multiplying through by x(x + 2) to clear the denominators gives us:
192(x + 2) - 192x = 3.20x(x + 2)
This simplifies to:
192x + 384 - 192x = 3.20x^2 + 6.4x
The term 192x cancels out on both sides, so we have:
384 = 3.20x^2 + 6.4x
To solve for 'x', we divide both sides by 3.20:
120 = x^2 + 2x
Now we solve the quadratic equation x^2 + 2x - 120 = 0. Factoring this equation, we get (x + 12)(x - 10) = 0. Thus, x can be -12 or 10. However, since we can't have a negative number of club members, the number of soccer club members is 10.
a 25000 gallon swimming pool is being filled. Two hundred and fifty gallons are in it after 30 minutes. How many hours will it take to fill the pool?
In 30 minutes, 250 gallons are filled in the swimming pool. In the same rate in 1 hours (which means 60 minutes), 500 gallons will be filled.
Let x be the number of hours it will take to fill the entire swimming pool which has the capacity of 25,000 gallons.
We need to set up a proportion like given below:
[tex] \frac{Number \; of \; Hours }{Amount \; of\; water \; in\; gallons} =\frac{x}{25,000} =\frac{1}{500} [/tex]
Solving the equation for x:
[tex] \frac{x}{25000} =\frac{1}{500} \\ Multiply \; 25000\; on\; both\; sides\; of\; the \; equation\\ \\ 25000 \times \frac{x}{25000} =\frac{1}{500} \times 25000\\ Simplify \; on \; both \; sides\\ \\ x \; = \; \frac{25000}{500} \; = 50 \; hours [/tex]
Conclusion:
The number of hours that will take to fill the pool is 50 hours !
Select the graph that represents the following: -5
A law firm has nine senior and six junior partners. A committee of three partners is selected at random to represent the firm at a conference. What is the probability that at least one of the junior partners is on the committee?
1. A cake in the shape of a circus tent is used as a centerpiece at a celebration. The cake consists of a cylinder and a cone. The cylinder has a diameter of 12 inches and a height of 14 inches. The cone has a height of 6 inches. What is the volume of the cake? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi. Show your work.
(Please show me how you get your answers)
I nEED HELP!
Lisa needs to score at least 12 points on her next turn to win the game. Write an inequality to represent the number of points Lisa needs to win the game
Final answer:
Lisa needs to score at least 12 points to win, so the inequality to represent this scenario is 'p >= 12', where 'p' is the number of points she scores on her next turn.
Explanation:
To represent the number of points Lisa needs to win the game with an inequality, we can let p stand for the points she will score on her next turn.
Since she needs to score at least 12 points, the inequality would be p \">= 12".
This reads as 'p is greater than or equal to 12,' meaning Lisa needs to score 12 or more points to win.
A scooter can travel 72 mi per gallon of gasoline and holds 2.3 gal. the function d(x)-72x represents the distance d(x), in miles, that the scooter can travel with x gallons of gasoline. How many miles can the scooter go with a full tank of gas ?
If guy walks from his house to school and back,how far does he walk?
Final answer:
The total distance walked by someone from home to school and back depends on the distance covered in each direction, for example, if a person walks 2 kilometers to school and 2 kilometers back, the total distance walked is 4 kilometers.
Explanation:
The total distance walked by the guy from his house to school and back depends on the exact distance he covers in each direction. If he walks 2 kilometers to school and 2 kilometers back, then the total distance walked would be 4 kilometers.
Algebra problem #1 help (pic included)
Caluculate the distance kris walks in 8 days if she walks 7/8 mile each day
This box is 3/4 inches long, 1/2 inches wide, and 1/4 inches deep. What is the volume of the box ?
Answer:
The volume of the box is 0.09375 inches cube.
Step-by-step explanation:
Given : This box is 3/4 inches long, 1/2 inches wide, and 1/4 inches deep.
To find : What is the volume of the box ?
Solution :
The dimension of the box is,
Length = [tex]l=\frac{3}{4}[/tex] inches
Breadth = [tex]b=\frac{1}{2}[/tex] inches
Height = [tex]h=\frac{1}{4}[/tex] inches
The formula of volume of the box is
[tex]V=l\times b\times h[/tex]
[tex]V=\frac{3}{4}\times \frac{1}{2}\times\frac{1}{4}[/tex]
[tex]V=\frac{3}{4\times 2\times 4}[/tex]
[tex]V=\frac{3}{32}[/tex]
[tex]V=0.09375in^3[/tex]
Therefore, The volume of the box is 0.09375 inches cube.
The volume of the box is 3/32 cubic inches.
Given
This box is 3/4 inches long, 1/2 inches wide, and 1/4 inches deep.
The volume of the box;The volume of the box is given by-product of length, width, and height.
The volume of the box is determined by the following formula;
[tex]\rm Volume \ of \ box =Height\times Width \times length[/tex]
Substitute all the values in the formula;
[tex]\rm Volume \ of \ box =Height\times Width \times length\\\\\rm Volume \ of \ box =\dfrac{3}{4}\times \dfrac{1}{2} \times \dfrac{1}{4}\\\\\rm Volume \ of \ box =\dfrac{3}{32} \ cubic \ inches[/tex]
Hence, the volume of the box is 3/32 cubic inches.
To know more about the Volume of the box click the link given below.
https://brainly.com/question/13749063
Can someone help my sister Kathy with this