Answer:
y = 2x - 5
Step-by-step explanation:
y = mx + b
m = slope = 2
b = y-intercept = -2
Solve the following equation for a.
n=b/a+3.
a=
Answer:
the answer is a=b/n-3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
At Emily's summer camp, there are
6 counselors for every 40 girls. How many
counselors should the camp have for 100
girls?
Answer:
15
Step-by-step explanation:
3 counselors for every 20 girls
Answer:
15 counselors
Step-by-step explanation:
The ratio of counselors to girls is 6:40. Set this as a proportion:
[tex]\frac{6}{40}[/tex]=[tex]\frac{x}{100}[/tex]
Cross multiply to solve: 6×100=40x
600=40x
x=15
To satisfy the ratio, there needs to be 15 counselors for 100 girls.
There are 30 boys in a sporting club. 20 of them play hockey and 15 play volleyball. Each boys plays at least one of the two games. Illustrate the information on a Venn diagram. How many boys play all the two games. How many boys play only one game
Answer:
5 boys play all the two games
25 boys play only one game
Step-by-step explanation:
Sets
There are two sets defined in the question: one for the boys who play hockey (H) and the other for the boys who play volleyball (V).
All the boys play at least one of the two games, so no elements are outside both sets.
There are 30 boys in total. 20 of them play hockey and 15 play volleyball. Since the sum of both numbers is greater than the total of boys, the difference corresponds to the boys who play both games.
Thus 20 + 15 - 30 = 5 boys play both games
Given that 5 boys are shared by both sets, from the 20 playing hockey, 15 play ONLY hockey. From the 15 boys playing volleyball, 10 play ONLY volleyball.
Thus 15 + 10 = 25 boys play only one game.
The Venn diagram is shown in the image.
A county has two elementary schools, both of which have an after-school program for the convenience of working parents. In school A, of the children attend the after-school program; in school of the children attend the after-school program. If school A has 600 students and school B has 900 students , then what is the fraction of elementary school students in the county who attend the after -school program ?
Answer:
8/15
Step-by-step explanation:
Given that school A has 600 students and school B has 900 students.
As in School A, 1/3 of the children attend the after-school program.
So, the number of students in school A, who attend the after-school program, n_A= 1/3 x 600 = 200.
As in School B, 2/3 of the children attend the after-school program.
So, the number of students in school B, who attend the after-school program, n_B= 2/3 x 900 = 600.
Total number of elementary school students in the county who attend the after -school program= n_A +n_B = 200 + 600 = 800.
Total number of elementary school students in the county,
N = 600+900=1500
Hence, the fraction of elementary school students in the county who attend the after-school program = 800/1500 = 8/15.
The price of a technology stock has dropped to $9.61 today. Yesterday's price was $9.74. Find the percentage decrease.
Round your answer to the nearest tenth of a percent.
HELP I NEED THIS
If you can write the explanation out and how you got it!!!!!!!!
Answer:
1.33%
Step-by-step explanation:
$9.74 - $9.61 = $0.13
(0.13 divided by $9.74) times 100
=1.33%
1/4 +0.25
what would it equal
Answer:
0.5
Step-by-step explanation:
1/4+0.25
0.25+0.25
=0.5
So 0.5 is the answer
When FD bisects angle CFE does it create angle C and E or does it create angle CFD and angle EFD
Answer:
it create angle CFD and angle EFD
Step-by-step explanation:
i believe it create that because after the one triangle gets broken into 2, its saying the two smaller angles next to the f.
"Just look at the graph," the player's agent said. "Phil's hits have doubled since last year. We are looking for a large raise and a long contract." Look at the graph. A bar graph titled Phil's hits has this year and last year on the x-axis, and number on the y-axis, from 100 to 200 in increments of 20. This year is 180, and last year is 120. How can you redraw this graph so it appears that Phil's hits have quadrupled since last year. a. Use the same scale and make the top bar twice as thick as the bottom bar. b. Alter the scale so the top bar appears four times as long as the bottom bar. c. Both a and b. d. Neither a or b.
Answer:
Awnser is C
Step-by-step explanation:
We just have to make the top bar seem bigger then it actually is
Heather has a bag with 3 marbles, 7 tennis balls, 3 apples, and 3 books. What is the ratio of books to tennis balls?
A.
(3/7) or 3:7
B.
(7/8) or 7:8
C.
(4/7) or 4:7
Answer:
B
Step-by-step explanation:
I hope it's correct and I'm thinking it is,. Sorry if it's not
Answer:
I think A
Step-by-step explanation:
3/7. Or 3:7
Cause there are 3 books and 7 tennis balls
6.3232 or 6.3202 is grater?
Answer:
6.3232 is greater
Step-by-step explanation:
Bao buys a skateboard that originally cost $38. He uses a coupon to save 20%. How many dollars does Bao pay for the skateboard?
Answer:
$30.40
Step-by-step explanation:
48 = -6a, a =
pls help hfjdjf
Answer:
a=-8
Step-by-step explanation:
what does x = ? need help with the pythagorean theorem
Answer:
The answer is 9
Step-by-step explanation:
set up the equation as 12^2 + b^2 = 15^2
solve the exponents and you get 144 + b^2 = 225
Then subtract 144 from both sides and get 81
After that just do the square root of 81 and you get 9
pls mark brainliest
A player throws a football across the field. The equation h (x) = -16t^2 + 44t + 3.5 models the height, h, in feet, of the football as a function of time. t, in seconds. Ivan claims the football was thrown from an initial height of 3.5 feet with an initial velocity of 16 feet per second. Complete the statement to explain why ivan is incorrect
Answer:
A quadratic equation for the height of an object is written as:
h(t) = a*t^2 + b*t + c
We can derivate it with respect to the time to get the velocity:
v(t) = 2*a*t + b
We can derivate it with respect to the time to get the acceleration:
a(t) = 2*a
Then:
a = half of the acceleration. (the gravitational acceleration for problems like this)
b = initial vertical velocity.
c = initial height.
In our case we have:
h(t) = -16t^2 + 44t + 3.5
-16 is half of the acceleration, we know that the gravitational acceleration is:
g = 32ft/s^2, and we have a negative sign because the gravity pullls the ball downwards.
44 is the initial vertical velocity of the ball (44ft/s)
3.5 is the initial height. (3.5ft)
Then the statement of Ivan is incorrect because the 16 does not represent the initial velocity
PLEASE ANSWER ASAP
If f(x)= 5x-8 which of the following is the inverse of f(x)?
A. F^1(x) = x-5/8
B. F^1(x) =x-8/5
C. F^1(x) = x+8/5
D. F^1(x)= x+5/8
Answer:
c
Step-by-step explanation:
For an inverse function you take f(x) and turn that to y then you switch x and y. So you should start off with y= 5x -8. so then you switch x and y so x= 5y - 8. So then you solve. You subtract 8 from both sides and divide by 5 and you get F(x) inverse = x + 8/5
Desarrolla el siguiente cuadrado de binomio (2x³ - 6x)²
Answer:
[tex]4x^{6} - 24x^{4} + 36x^{2}[/tex]
Step-by-step explanation:
Clare knows that Priya has a bunch of nickels and dimes in her pocket and 2 points
that the total amount is $1.25. Write an equation that describes the
relationship between the number of dimes and the number of nickels in
Priya's pocket. Let x represent the number of nickels and y represent the
number of dimes.
Answer:
5x + 10y = 125
Step-by-step explanation:
Let :
Number of nickel = x
Number of dime = y
Nickel = 5 cent
Dime = 10 cent
Total value = $1.25
Total value should be converted to cent since both dime and nickel are both in cent
= $1.25 * 100 = 125 cents
Therefore,
5x + 10y = 125 cents
Teresa feeds her dog 1/3 can of dog food each day. How many days can Teresa feed her dog with 5 cans of food?
What is the missing angle?
Answer:
the answer is 95
Step-by-step explanation:
[tex]180 - 50 - 35 = 95[/tex]
Answer:
105 degrees
Step-by-step explanation:
A traingle has a total of 180 degrees. The graph already tells us 2 angles, 25 and 50 degrees. So: 25+50=75
180-75=105
Phoebe, Andy and Polly share £270
Phoebe gets three times as much as Andy who gets twice as much as Polly.
How much do they each get?
Answer:
Andy gets 60
Polly gets 30
Phoebe gets 180
Find the measure of the indicated arc.
i need the answer for this question
Answer:
x=5
y=7
(5,7)
Step-by-step explanation:
solved by substitution.
Find the value of x given m (I need a lot of help)
Answer:
x=7
Step-by-step explanation:
m angle SAR = m angle SQR (angles lying in the same segment of a circle are always equal)
that's why
7x+7=9x-7
9x-7x= 7+7
2x= 14
x=7
Answer:
x=7
Step-by-step explanation:
Given that measure of angle SAR= measure of angle SQR
7x+7=9x-7
-2x=-14
x=7
CHECK:
7(7)+7=56
9(7)-7=56
What is similar about the Hebrew Bible and the Epic of Gilgamesh?
Both books believed in many gods.
Both books were used by the Israelites.
Both books were originally written on papyrus.
Both books use stories as guidance to life.
Answer:
Both books use stories as guidance to life.
Step-by-step explanation:
The Hebrew Bible teaches that there is one God.
The Epic of Gilgamesh did not originate from the Israelites. It was ancient Mesopotamian.
The Epic of Gilgamesh was not written on papyrus
Therefore the only answer that it can me is the final one.
Answer:
D ☝
Step-by-step explanation:
Both books was used as a guidance of life and their beliefs.
Hope this helps!
A formal proof uses all of the following components except what?
A.) theorems
B.) a set of examples
C.) geometry rules
D.) algebra rules
Answer:
The answer is B.
A town has a population of 10000 and grows at 5% every year. What will be the population after 5 years, to the nearest whole number?
Answer:12500
Step-by-step explanation:
10000 x 5% = 500. 500 x 5 = 2500. 10000 + 2500 = 12500
Answer:
12763
Step-by-step explanation:
Got it right on deltamath.
Solve for the value of p.
Answer:
p=13
Step-by-step explanation:
set 7p-1=90. Add 1 to 90 to get 7p=91. 91/7 equals 13
the base salary of an employee and a 2% salary increase
I'm assuming the base salary of this employee is $25.00
25.00+2%
Convert the percent into a decimal.
0.02
Now multiply.
25.00x0.02=0.5
Now add to the base salary.
25.00+0.50=$25.50
The 2% increase was $0.50
The total is $25.50
nya
5(x-4)=15
find out what x is
Answer:
7
Step-by-step explanation:
7-4=3
5×3=15
plz mark brainliest
Answer:
x=7
Step-by-step explanation:
-5*(x-4)-(-15)=0
(0 - 5 • (x - 4)) - -15 = 0
35 - 5x = -5 • (x - 7)
-5 • (x - 7) = 0
Solve : x-7 = 0
Add 7 to both sides of the equation :
x = 7
what is the value of the expression below when z=4
10z=3
Answer:
37
Step-by-step explanation:
10z=3 and z=4
substitute
10(4)-3
simplify
40-3
answer
37