Avery read 1.75 pages in to of an hour. At what rate, in pages per hour, did she read?
On the double number line below, fill in the given values, then use multiplication t
find the missing value. Enter your answers as fractions, whole numbers, or decimals.
pages
o
O
hours
Enter your final answer as a whole number or decimal.

Answer:

Step-by-step explanation:

Set a ratio:

Find  the value of x by cross-multiplication:

Answer:

Well this is a function/ quadratic question.

So using this info we can make this into a standard form for quadratics which is

ax^2+bx+c=0

In this case c is 0 and we cna just make everything else equal to zero so.

-3x^2+6x=0

Now with this we can use the quadratic formula

-b±√(b²-4ac)/(2a)

So pluggin everything in

X=-6±√(6²-4(-3)0)/(2(-3))

Now we solve

36/-6

or -6

Now we just do

-6±-6

x= -12

x= 0

These are your answers

x=-12

x=0

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The correct Choice is ~ D

a || b by the converse of the same side interior angles

9514 1404 393

Answer:

  (d)  972π in³

Step-by-step explanation:

The formula for the volume of a sphere is ...

  V = 4/3πr³

The sphere has a diameter of 18 in, so a radius of 9 in. Its volume is ...

  V = (4/3)π(9 in)³ = (4/3)729π in³ = 972π in³

The container can hold 972π in³ of water.

there you go the answer is in the picture

Answer:

32 qt = 8 gal

Step-by-step explanation:

1 qt x 32 = 1/4 gal x 32

32 qt = 32/4 gal

32 qt = 8 gal

Answer:

y+1=8/9(x+4)

Step-by-step explanation:

Tell me if you want one!

Answer:

If a=2, b=3, c=4,

3a²bc = 3(2)²(3)(4)

          = 3×4×3×4

          = 12²

          = 144

Answer:

the answer is 144

Step-by-step explanation:

3a²bc

=3×2×2×3×4

=3×4×12

=12×12

=144

Answer:

just answered

Step-by-step explanation:

The value of x in the given diagram is 7 because the two triangles are similar

A triangle is a three-sided polygon that consists of three edges and three vertices.

The given two triangle are similar

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Let us form a proportional equation to find x

49/x=14/2

49/x=7

49/7=x

We get x=7

Hence, the value of x in the given diagram is 7 because the two triangles are similar

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Answer:

-sin x

Step-by-step explanation:

sin(3π/3+x)=sin (π+x)=-sin x

or

sin (π+x)=sin πcos x+cos π sin x=(0)cos x+(-1)sin x=0-sin x=-sin x

Answer:

The width is 410ft and the length is 780ft

9514 1404 393

Answer:

  7.83 km/h

Step-by-step explanation:

At her constant pace, Nina's time for 6 km will be found by the proportion ...

  (time for 6 km)/(6 km) = (time for 9 km)/(9 km)

  time for 6 km = (6 km)/(9 km) × (75 min) = 50 min

Jo's time for the same distance will be 4 minutes less: 50 -4 = 46 min. Jo's speed is ...

  speed = distance/time

  = (6 km)/(46/60 h) = 360/46 h ≈ 7.83 km/h . . . . Jo's speed

_____

Additional comment

From the 6 km point, the remaining race is half the distance already run, so will take half the time already taken. As we know, Nina will finish in 25 more minutes; Jo will finish in 46/2 = 23 more minutes, 2 minutes ahead of Nina.

To arrange in ascending order means to arrange numbers from the smallest value to the greatest value in the set of numbers provided.

9) 3.021 < 3.12 < 3.121 < 3.21

Look at the 1st decimal place after the point first. 0 is less than 2 & 1, so 3.021 is the least number. Now, for 3.12 & 3.121, look at the 3rd place. 3.12 = 3.120, so it’s smaller than 3.121. Then comes 3.21 which is the greatest number in this set.

10) 5.0090 < 5.05 < 5.059 < 5.5

Here, 5.0090 is the smallest number. Then comes 5.05 = 5.050 which is smaller than 5.059. 5.5 is the greatest number.

_________

RainbowSalt2222 ☔

Answer:

Maybe

Step-by-step explanation:

maybe

Answer:

yes because it can be written as a fraction 225/1000

Answer:

112

Step-by-step explanation:

Aaron = y

Victoria = x

y = 14 +x

126 = 14 + x

x = 112

Victoria sold 112 boxes of cookies

Answer:

  3/16

Step-by-step explanation:

Boys with glasses are 1/(1+6) = 1/7 of boys. Boys are 7/(7+5) = 7/12 of the group.

Girls with glasses are 1/(1+3) = 1/4 of girls. Girls are 5/(7+5) = 5/12 of the group.

The fraction of the group that wears glasses is ...

  (1/7)(7/12) +(1/4)(5/12) = 1/12 +5/48 = 9/48 = 3/16

3/16 of the students wear glasses.

_____

Additional comment

It appears we can choose a multiple of 48 students to work out the detailed numbers. For 48 students, the ratio of boys to girls is 28 : 20. The ratio of boys with glasses to those without is 4 : 24, and the similar ratio for girls is 5 : 15. In our group of 48 students, 4 boys and 5 girls = 9 students wear glasses. The fraction is 9/48 = 3/16 as shown above.

The sides for which a triangle is not possible are 19 m, 34 m, 15 m. The correct option is (c).

A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

The given options are considered one by one

(a) 5 m, 6 m, 8 m

For a triangle, the sum of its two sides is always greater than its longest side.

For the given triangle the longest side is 8.

Since 5 + 6 > 8, the given sides can form a triangle.

(b) 10 m, 10 m, 2 m

For a triangle, the sum of its two sides is always greater than its longest side.

For the given triangle the longest side is 10.

Since 10 + 2 > 10, the given sides can form a triangle.

(c) 19 m, 34 m, 15 m

For a triangle, the sum of its two sides is always greater than its longest side.

For the given triangle the longest side is 34.

Since 19 + 15 = 34, the given sides cannot form a triangle.

(d) 3 m, 16 m, 14 m

For a triangle, the sum of its two sides is always greater than its longest side.

For the given triangle the longest side is 16.

Since 14 + 3 > 16, the given sides can form a triangle.

Hence, the sides that cannot form a triangle are 19 m, 34 m, 15 m.

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Answer:

11

Step-by-step explanation:

Answer:

d= 4

Step-by-step explanation:

Answer:

The length of the track is approximately 51.7 ft

The track has three sides of the square and the distance round a half of a complete circle

Step-by-step explanation:

The given track shape and measurements are;

The shape on the left side of the track  = Square

The shape on the right side of the track  = Half circle

The area of the square on the the left side of the track  = 128 square feet

Therefore, from the area, A, of a square of side length, s, which is s × s, and letting the side length of the square = s, we have;

Area of the square portion of the track = s × s = s² = 128 ft²

Therefore, s = √(128 ft²) = 8·√(2) ft.

Whereby the side length of the square is bounded by the diameter of the half circle, we have;

Length of the diameter of the half circle = s = 8·√(2) ft.

The length of the perimeter of the half circle = π·D/2 = π × 8·√(2)/2 = π × 4·√(2) ≈ 17.77 ft.

The perimeter of the track, which is the length of the track is made up of the three sides of the square opposite to the half circle and the circumference of the half circle.

Therefore;

The length of the track = 3 × 8·√(2) ft + π × 4·√(2) ft. = 4·√2×(π+6) ≈ 51.7 ft

The length of the track ≈ 51.7 ft

Which gives;

The track has three sides of the square and the distance round a half of a complete circle.

Answer:

6 cm for both sides

Step-by-step explanation:

Answer:

1,623 x 2,908 = 4,719,684

Answer:

4719684

Step-by-step explanation:

Tell me if you want one.

Alf would prefer to borrow from his parents because their rates are more favourable.

The future value of the loan if he borrows from his parents is given by this formula: A(1 + r)^n

Where:

A = amount  

R = interest rate  

N = number of years  

$15,000(1 + 0.0355)^4 = $17,246.13

The future value of the loan if he borrows from the local bank is given by this formula: : A x e^r x N

Where:

$15,000 x  2.7182818^0.035 x 4 = $62,137.18

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Answer:

the anser is the first one

Step-by-step explanation:

Given that

The cost of 1 kg onions = Rs. 30 1/2

The cost of 1 kg onions = Rs. 61/2

If Rajini bought 2 1/2 kg onions then

The total cost of 2 1/2 kg onions

→ 2 1/2 ×( 61/2)

→ (5/2)×(61/2)

→ (5×61)/(2×2)

→305/4

Rs. 305/4 or Rs. 76 1/4

The cost of 2 1/2 kg onions is Rs. 76 1/4.

On the list of facts, the second fact says "A quarter of the nuts are walnuts.".

A quarter of 956 is => 239 <= .

A secured loan would most likely be used to pay for a car, the correct option is B.

We are given that;

The four options

Now,

A secured loan is a loan that is backed up by collateral pledged by the borrower, such as a car or property.

The lender can sell the collateral to cover repayment of the loan if the borrower defaults.

Car, since it is a common type of collateral for secured loans.

College, groceries and a phone are less likely to be used as collateral for secured loans, since they are either intangible, perishable or low-value assets.

Therefore, by loan the answer will be car.

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