1. Mrs. Grape has 90 students. On her last test, 3/10 of these students earned an A. Of those students, 1/9 got a perfect score. How many students got a perfect score?

2. Using the information from the problem above, what fraction of the total students got a perfect score on the test?

Answers

Answer 1

Answer: 1/30

Step-by-step explanation:

3/10 of 90 = 27

1/9 of 27 = 3

3/90 = 1/30

Answer 2

Answer:

3       1/30

Step-by-step explanation:

90 * 3/10   got A

 of these 1/9 = perfect

  90 * 3/10 * 1/ 9 = 3

3 out of 90 = 3/90 = 1/30


Related Questions

Ming was planning a trip to western smaoa be fore she was going she did some research and learned that the exchange rate is 6 tala for 2$ how many tala would she get if she exchanged 6$

Answers

Answer:

  18 tala

Step-by-step explanation:

The exchange is proportional, so the number of tala Ming receives will be proportional to the number of dollars she exchanges.

  x / ($6) = 6 tala / ($2)

__

Multiplying by $6, we have ...

  x = (6 tala)($6/$2) = 18 tala

Ming would get 18 tala when exchanging $6.

Our sense of smell is responsible for ___ of our overall chocolate tasting experience. Group of answer choices 10% 30% 50% 70%

Answers

Answer:

70%

Step-by-step explanation:

Our sense of smell is responsible for 70% of our overall chocolate tasting experience.

4x + 9y - 9 = 0
y intercept =

Answers

(0,1), make into slope-intercept form, use the b value as y-int

At what rate per cent per annum will $400 yield an interest of $78 in 1 1/2 years?

Answers

Use language that's easy-to-understand. If there's a piece of vocabulary that you feel needs clarifying, define it!   23

Step-by-step explanation:

Keisha makes individual servings of nuts by dividing 4 1/2 cups of nuts into individualcup servingsHow many individual 3 8 . servings can Keisha make?Show work

Answers

Answer:

4 1/2 = 9/2 

Dividing 9/2 by 3/8,

9/2 x 8/3 = 72/6 = 12

Therefore, Keisha made 12 individual servings.

Find an ordered pair that is a solution to the equation.

Answers

Answer:

[tex](x,y) = (4,1)[/tex]

Step-by-step explanation:

[tex]-4+5\cdot 1 = 5-4 =1[/tex]

Answer:

(2, 3/5)

Step-by-step explanation:

Step 1. Rewrite as slope-intercept form, y = mx + b (OPTIONAL)

-x + 5y = 1

5y = x + 1

y = 1/5x + 1/5

Step 2. Pick an x value, then sub for y

x = 2

y = 1/5(2) + 1/5

y = 2/5 + 1/5

y = 3/5

Ordered pair: (2, 3/5)

God bless!

A bus travels two different routes: the Green Route and the Blue Route.
•On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52 miles.
• On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of 119 miles.
What is the length of the Green Route in miles?

Answers

Answer:4.5

Step-by-step explanation: Check the file for my explanation

Dennis drew the line of best fit on the scatter plot shown below:

What is the approximate equation of this line of best fit in slope-intercept form?
y = −15x + 2/3
y = -2/3 x + 15
y = −15x + 3/2
y = -3/2 x + 15

Answers

Answer:

4th option

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 12) and (x₂, y₂ ) = (6, 6) ← 2 points on the line

m = [tex]\frac{6-12}{6-2}[/tex] = [tex]\frac{-6}{4}[/tex] = - [tex]\frac{3}{2}[/tex]

the line crosses the y- axis at (0, 15 ) ⇒ c = 15

y = - [tex]\frac{3}{2}[/tex] x + 15 ← approximate equation of line of best fit

Groceries R Us is selling 8 apples for $2.80.

Food Galore is selling 6 apples for $2.16.

Shop Here is selling 4 apples for $1.42.


Find their unit rates. Which store has the best deal?

Answers

Answer:

Groceries R Us

Step-by-step explanation:

i dont know how to explain lol

Amy works and is paid by the hour. Her sister Jo helps her work. As shown in the table identify the independent and dependent ( first gets some!)

Answers

Answer:

The dependent variable is Amy's pay

The independent variable is Jo's pay

Step-by-step explanation:

Depending on how much Amy gets paid, Jo gets 20% of it.

Measuring the height of a tree is usually more difficult than measuring the diameter of the tree. Therefore, many researchers use regression models to predict the height of a tree from its diameter measured at 4 feet 6 inches from the ground. The following computer output shows the results of a linear regression based on the heights, in feet, and the diameters, in inches, recorded from 31 felled trees.


Estimate Std Error t-value Pr(>|t|)

Intercept 62. 031 4. 383 14. 15 0. 0000

Diameter 1. 054 0. 322 0. 2028 3. 27


Required:

What is a 95 percent confidence interval for the slope of the population regression line?

Answers

Measuring the height of a tree is usually more difficult than measuring the diameter of the tree, confidence interval for the slope is mathematically given as

C=(0.396, 1.712)

What is a 95 percent confidence interval for the slope of the population regression line?

Generally, the equation for the confidence interval  is mathematically given as

[tex]C=\beta-tn-2, \alpha /2 (S.E)[/tex]

Where

[tex]\beta=1.054[/tex]

Therefore

C=(1.054-t29, 0.025*0.322)

C=(0.396, 1.712)

In conclusion, the  95 percent confidence interval is

C=(0.396, 1.712)

Read more about  Confidence interval

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Find the perimeter of the triangle .

Answers

Answer:

P = 9x + 22

Step-by-step explanation:

Perimeter = sum of all sides

P = (3x + 11) + (3x + 11) + (3x)

P = 9x + 22

I hope this helps! God bless

Please help me with this :)))))
If

Answers

Answer:

c) x = 20, angle COD = 70 °

Step-by-step explanation:

(x+50)° + 90° +20° = 180°

x + 160° = 180°

x = 180°- 160°

x = 20

Angle COD = (x+50)° = (20 +50)° = 70°

Hope this helps

What is the length of side PQ in this figure?

Answers

Answer:

[tex]\sqrt{52[/tex]

Step-by-step explanation:

hope it helps! im not completely sure but its the best answer!

Which function’s graph is shown below?

Answers

[tex]\bold{ANSWER:}[/tex]
y = sin x

[tex]\bold{GRAPH:}[/tex]

what is the expression to (4×+3)+(-2×+4)

Answers

Answer:

4x(3-2)

Step-by-step explanation:

since in 2 groups, there are number 4 in common

Apply Distributive Law to achieve this.

The graph of a function is a transformation of the graph of its parent function in which the graph is
vertically stretched by a factor of 2;
shifted left 3 units; and
shifted up 2 units.
write an equation for the function.

Answers

Answer:

f(x) = 2(x+3)+2

Step-by-step explanation:

PLEASE HELP
Find AB,. Round to the nearest tenth.

Answers

Answer:

11.6

Step-by-step explanation:

11.64 without rounding. since the 2nd decimal is below 5, we round down to 0. 11.60, or just 11.6 :) hope this helps!

8. (3x-5) mZS = 0 MZR = Р T con A (117 Bux+5)* S

Answers

Answer:

95°, 110°

Step-by-step explanation:

Since we're dealing with a cyclic quadrilateral ,

m<T + m<R 180°

7y + 11y = 180°

18y = 180°

y = 10°

Also,

m<S + m<U = 180°

3x+5+3x-5= 180°

6x = 180°

x = 30°

m<S = 3x+5 = 3(30)+5

= 95°

m<R = 11y = 11(10)

= 110°

Given -

m∠R = (11y)°m∠S = (3x + 5)°m∠T = (7y)°m∠U = (3x - 5)°

To find -

m∠Rm∠S

(nullifying x and y)

Explanation -

As we know this is a cyclic quadrilateral and it's either pair of the opposite angles sum up to 180°.

Therefore,

m∠S + m∠U = 180° ---(1)

m∠R + m∠T = 180° ---(2)

Solution -

Substituting the values of the measure of angles in (1)

➜ m∠S + m∠U = 180°

➜ (3x + 5)° + (3x - 5)° = 180°

➜ 6x = 180°

➜ x = 180/6

➜ x = 30

Therefore, m∠S = (3x + 5)° = {3(30)+5}° = (90+5)°

m∠S = 95°

Substituting the values of the measure of angles in (2)

➜ m∠R + m∠T = 180°

➜ (11y)° + (7y)° = 180°

➜ 18y = 180°

➜ y = 180/18

➜ y = 10

Therefore, m∠R = (11y)° = (11×10)° = 110°

Which picture shows the inverse, f −1, of the function shown?

Domain: 8, 10, 12. Range: 6, 9, 3. 8 goes to 6; 10 goes to 9; 12 goes to 3.
CLEAR CHECK

Inverse of f. Domain: 8, 10, 12. Range: negative 6, negative 9, negative 3. 8 goes to negative 6; 10 goes to negative 9; 12 goes to negative 3.

Inverse of f. Domain: 6, 9, 3. Range: one-eighth, one-tenth, one-twelfth. 6 goes to one-eighth, 9 goes to one-tenth; 3 goes to one-twelfth.

Inverse of f. Domain: 8, 10, 12. Range: one-sixth, one-ninth, one-third. 8 goes to one-sixth; 10 goes to one-ninth; 12 goes to one-third.

Inverse of f. Domain: 6, 9, 3. Range: 8, 10, 12. 6 goes to 8; 9 goes to 10; 3 goes to 12.

Answers

Answer:

  (d)  Inverse of f. Domain: 6, 9, 3. Range: 8, 10, 12. 6 goes to 8; 9 goes to 10; 3 goes to 12.

Step-by-step explanation:

Apparently function f is defined by the ordered pairs (8, 6), (10, 9), (12, 3).

The inverse function will be defined by the ordered pairs with the input and output reversed:

  (6, 8), (10, 9), (3, 12)

This seems to be described by the last answer choice.

I need help with 15.) 17.) and 19.) I have attached the answers I just need help with how to solve them

Answers

Answer:

Step-by-step explanation:

They are all solved kind of the same way. If the vertex of the angle is outside of the circle, subtract the intercepted arcs and divide by 2

for 15) one arc is marked but you can figure out the other arc because there are 360 degrees in a circle  360 - 102 = 258. So the two arcs are 102 degrees and 258 degrees.

some of the problems you can set up the equation and solve.

17) 63 = {(360-x) - x} /2     multiply by 2

126 = {(360-x) - x}     combine like terms

126 = 360 - 2x           subtract 360

-234 = -2x                   divide by -2

117 = x

? = 117 degrees

good luck

6.4r−7−2.9r simplified is

Answers

Answer:

3.7r -7

Step-by-step explanation:

Basically you would subtract 6.4 and 2.9 because there is a negative sign and they have the same variable. Then you would put it (2.9r)first since it is in order and you can't combine 7 and 2.9r so you leave it like that.

Find the missing side lengths. Leave your answers as radicals in simplest form.

Answers

Answer:

B  x = 3, y= 3

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)

Given:

[tex]\theta[/tex] = 45°O = [tex]x[/tex]A = [tex]y[/tex]H = [tex]3\sqrt{2}[/tex]

[tex]\implies \sin(45^{\circ})=\dfrac{x}{3\sqrt{2}}[/tex]

[tex]\implies x=3\sqrt{2}\sin(45^{\circ})[/tex]

[tex]\implies x=3\sqrt{2} \cdot \dfrac{\sqrt{2}}{2}[/tex]

[tex]\implies x=\dfrac{3\sqrt{2} \sqrt{2}}{2}[/tex]

[tex]\implies x=\dfrac{3 \cdot 2}{2}=3[/tex]

[tex]\implies \cos(45^{\circ})=\dfrac{y}{3\sqrt{2}}[/tex]

[tex]\implies y=3\sqrt{2}\cos(45^{\circ})[/tex]

[tex]\implies y=3\sqrt{2} \cdot \dfrac{\sqrt{2}}{2}[/tex]

[tex]\implies y=\dfrac{3\sqrt{2} \sqrt{2}}{2}[/tex]

[tex]\implies y=\dfrac{3 \cdot 2}{2}=3[/tex]

.divide the problem.

Answers

Answer:

[tex]x - 2x - 15 \: divided \: by \: x - 3[/tex]

according to the above x²-2x-15 divided by the number below x-3 first I cancel out the x[tex]x - 2x - 15 \: divided \: by \: - 3[/tex]the we solve the next x-5 divided by x²-9 then as usual rule out the x[tex] - 5 \: divided \: by \: x - 9[/tex]now we only have x-2x-15 divided by-3 divided by-5÷x-9 now our next step is to again single the equations out [tex]x - 2x - 15 \: divided \: by \: - 3 \: lets \: rue \\s \: rule \: out \: - 3 \: and \: 15 \: giving \: us \: x - 2x - 5[/tex]now the next -5 divided by x-9 here there's nothing to rule out therefore the sign "÷" is changed to "×" cancel out the -5 and therefore we have [tex]x - 2x = x - 9 \: as \: final \: answer[/tex]

Please answer this I’m struggling rn :(

Answers

Answer:

The answer is on a picture⊙﹏⊙

Step-by-step explanation:

Have a great day✧◝(⁰▿⁰)◜✧

What is 18.5% of 500?
9.25
92.5
925
0.925

Answers

Answer:

92.5

Step-by-step explanation:

[tex]\frac{18.5}{100} = \frac{x}{500}[/tex]

cross multiply:

18.5 · 500 = 9250

100 · x = 100x

isolate x by dividing 100 from both sides:

x = 92.5

hope this helps!

18.5% × 500 = 92.5
Please mark as brainliest!

The Pyramid of Menkaure is a square pyramid located in Giza. The pyramid has a height of about 215 feet, a slant height of about 274 feet, and a base side length of about 339 feet. After a windstorm, an architect was tasked with inspecting the outer surfaces of the pyramid for damage. How many square feet does the architect need to inspect? Type the correct answer in the box. Use numerals instead of words. The architect will need to inspect square feet

Answers

Answer:

The architect will need to inspect 185,772 square feet.

Step-by-step explanation:

The square feet the architect must inspect represents the lateral surface area of the square pyramid. Since the base of the pyramid is a regular polygon, a square, then the given formula can be used. Let P be the perimeter of the base and l be the slant height of 274 feet.

Find the perimeter of the base by multiplying the length of a side, 339 feet, by the number of sides of the base, 4.

So, the architect will need to inspect 185,772 square feet of the pyram

The total of 109327.5 feet² of the square area the architect needs to inspect.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right angle triangle, equilateral triangle, and much more.

A pyramid consists of 3 equal triangles given that the vertical height of a triangle is 215 feet, and the base is 339 feet.

Area of one triangle =  (1/2) × base × height.

⇒ (1/2)  × 339 × 215

36442.5

Since in a pyramid, there are a total 3 triangles so

Total surface area = 3 × surface area of 1 triangle.

Total surface area = 3 × 36442.5 = 109327.5 hence correct answer will be 36442.5.

For more about triangles,

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Owen is going on a multi-day hike up a large mountain. He wants to know what clothes he should bring for the higher elevation as he hikes. What clothes should Owen bring?

Answers

Answer:

Owen should wear thick, layered clothing thats will keep him warm

Example:Jackets,sweaters,heavy socks, gloves, benies, Balaclavas...ect

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Heavier Clothes, Since, The higher elevation will have cooler tem

What is the solution to the system of equation?

Answers

Answer:

(0, -4)

Step-by-step explanation:

The solution to the system is the point that is on both lines. It is where the lines intersect (cross). They intersect at the point (0, -4)

A $35 item is marked down 25%. What is the new price?

Answers

Answer:

$26.25

Step-by-step explanation:

35*.25 is 8.75

35-8.75=$26.25

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