I need help with this problem

Answer:

52/88 or simplifed 13/22 and the ratio is 52:36

Step-by-step explanation:

Answer: 1.+900

2. -24

3.  -5

4. +10

Step-by-step explanation:

To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.

Step 1: Convert the mixed number to an improper fraction:

7 5/6 = (6 * 7 + 5) / 6 = 47/6

Step 2: Multiply the improper fraction by the reciprocal of the fraction:

47/6 ÷ 2/3 = 47/6 * 3/2

Step 3: Simplify the fraction if possible:

47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12

Step 4: Simplify the fraction further, if necessary:

141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4

Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.

The height of the pyramid is 6 units.

What is the formula of the volume of a pyramid?

The volume of a pyramid is \(V = ( \frac{1}{3} ) \times B \times h\), where B is the area of the base and h is the height of the pyramid.

In this case, the base is a square with sides of length 5, so the area of the base is \(B = 5 \times 5 = 25 \: square \: units\)

We are also given that the volume of the pyramid is 50 cubic units.

So we are putting these values into the formula and solve for h,

\(50 = ( \frac{1}{3} ) \times 25 \times h \\ 150 = 25 \times h \\ h = 6\)

Therefore, the height of the pyramid is 6 units.

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Correct question is "The volume of a pyramid is 50 cubic units. The base is a square with sides of length 5. What is the height?

(A) 2 Units

(B)10 Units

(C) 6 Units

D) 4 Units"

Answer:  $130 money did Brenda and Hazel have all together before buying decorations and snacks.

Here, we have,

You want to know Brenda and Hazel's combined money when the ratio of their remaining balances is 1 : 4 after Brenda spent $58 and Hazel spent $37. They had the same amount to start with.

Setup

Let x represent the total amount the two women started with. Then x/2 is the amount each began with, and their fnal balance ratio is ...

 (x/2 -58) : (x/2 -37) = 1 : 4

Solution

Cross-multiplying gives ...

 4(x/2 -58) = (x/2 -37)

 2x -232 = x/2 -37 . . . . . . eliminate parentheses

 3/2x = 195 . . . . . . . . . . . . add 232-x/2

 x = (2/3)(195) = 130 . . . . . multiply by 2/3

Brenda and Hazel had $130 altogether before their purchases.

Alternate solution

The difference in their spending is $58 -37 = $21.

This is the same as the difference in their final balances.

That difference is 4-1 = 3 "ratio units", so each of those ratio units is $21/3 = $7.

Their ending total is 1+4 = 5 ratio units, or $35.

The total they started with is $58 +37 +35 = $130.

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complete question:

Brenda and Hazel decide to throw a surprise party for their friend, Aerica. Brenda and Hazel each go to the store with the same amount of money. Brenda spends $58 on decorations, and Hazel spends $37 on snacks. When they leave the store, the ratio of Brenda’s money to Hazel’s money is 1 : 4. How much money did Brenda and Hazel have all together before buying decorations and snacks?

Answer:

The right triangular pyramid volume is given by the formula V = 1 3 × B × h , where B is the area of the triangular base and h is the height (the distance from the apex to the base).

Step-by-step explanation:

Answer:

192 cubic feet

Step-by-step explanation:

The volume V of a triangular pyramid is given by the formula:

V = (1/3) * base area * height

where base area is the area of the triangular base.

In this case, the triangular base has a length of 8 ft and a width of 8 ft, so it is a square with area:

base area = length * width = 8 ft * 8 ft = 64 sq ft

Substituting the given values into the formula, we get:

V = (1/3) * 64 sq ft * 9 ft

V = 192 cubic feet.

Therefore, the volume of the triangular pyramid is 192 cubic feet.

Answer:

The correct function is

\(f(b) = {b}^{2} - 4\)

The correct definition for sec(0) is 1.

We have,

The secant function is defined as the reciprocal of the cosine function so for any angle θ.

sec(θ) = 1 / cos(θ)

In this case,

We are looking for the value of sec(0).

The cosine of 0 radians is equal to 1, since 0 radians is the angle at which the x-axis intersects the unit circle, and at that point, the x-coordinate (which represents the cosine) is equal to 1.

So,

cos(0) = 1

Now,

Using the definition of secant, we can find the value of sec(0) by taking the reciprocal of cos(0):

sec(0) = 1 / cos(0)

And,

cos(0) = 1

sec(0) = 1 / 1

Simplifying the expression.

sec(0) = 1

Therefore,

The correct definition for sec(0) is 1.

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Answer:

7 + 2 = 9, so AC = 7/9 and CD = 2/9

1 + 2 = 3, so AB = 1/3 = 3/9 and

BD = 2/3 = 6/9

AB + BC = AC

3/9 + BC = 7/9, so BC = 4/9

AB:BC:CD = (3/9):(4/9):(2/9) = 3:4:2

9514 1404 393

Answer:

  $70

Step-by-step explanation:

Four relationships are given among four unknowns. Define the following variables: p, c -- the cost of a pie and a cake, respectively. q, d -- the number of pies and cakes, respectively.

  q/d = 5/2 . . . . . the ratio of pies to cakes sold

  pq +cd = 3780 . . . . revenue from the sales

  p = c -35 . . . . . a pie is $35 less than a cake

  cd = pq -420 . . . . revenue from cakes is $420 less than for pies

__

The equations are non-linear, so we're making up this process as we go along. We observe that 'pq' and 'cd' are involved in relations that give us their sum and difference, so these products are easily found. Their ratio can let us take advantage of our knowledge of q/d.

Substituting for cd in the second equation, we get ...

  pq +(pq -420) = 3780

  2pq = 4200

  pq = 2100

  cd = 2100 -420 = 1680

Now, we can write ...

  pq/cd = 2100/1680 = 5/4

  (p/c)(q/d) = 5/4 = (p/c)(5/2) . . . . substitute for q/d

  p/c = 1/2 = (c -35)/c . . . . . . . . . . substitute for p

  c = 2(c -35) . . . . multiply by 2c

  c = 70 . . . . . . . . add 70-c

The cost of a cake is $70.

_____

Additional comment

24 cakes were sold at $70 each. 60 pies were sold at $35 each.

Answer:

surface area=214cm2, volume=183 cm3

Step-by-step explanation:

slanted height=√5^2+7^2 (Pythagoras theorem)

= √74

area of bottom part=π(5)^2

=25π

area of top cone part=π(5)(√74)

surface area of cone=25π+π(5)(√74)

=214 cm2(to 3 s.f.)

volume of cone=1/3π(5)^2×7

=183 cm3(to 3 s.f.)

Answer:

5:6 is larger

Step-by-step explanation:

6:9 = 6/9 = 2/3 = 0.6666...

5:6 = 5/6 = 0.8333...

5:6 is larger

Answer:

5:6

Hope this helps! :)

Answer:

3,07

Step-by-step explanation:

÷ by 100 and remove % sign

307÷100=3,07

Answer:

3

30

24

16

72

14

10

63

The Equivalent ratio to 8/2 is 4/1, 24/6, 32/8 and 48/12.

We have,

Cylinder and prism.

Here we have to find the equivalent ratio to 8/2.

First simplifying the given ratio as

8/2

= (4 x 2)/2

= 4 /1

Now, some more ratios equivalent to 8/2.

1. 8/2 x 3/3 = 24/ 6

2. 8/2 x 4/4 = 32/8

3. 8/2 x 6/6= 48/12

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Answer:

D.134

Step-by-step explanation:

Answer:

12,280

Step-by-step explanation:

just do 1456×5 :))

Answer:

===============

Parallel lines divide the transversal into proportional segments.

I hope that the attachment helps you..

Area of sector would be,

⇒ Area of sector = 102.6 feet squared

We have to given that,

Radius of circle = 14 ft

Angle θ = 60°

Now, We know that,

Area of sector = [θ/360]πr²

Where, r is radius of circle.

Hence, We can substitute all the values, we get;

Area of sector = [θ/360]πr²

Area of sector = [60/360](22/7)(14)²

Area of sector = [1/6][22/7][196]

Area of sector = 102.6 feet squared

Thus, Area of sector would be,

⇒ Area of sector = 102.6 feet squared

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Answer:

Step-by-step explanation:

option (d) 4hrs 40mins

Answer:

-27

Step-by-step explanation:

5(-3)^3(5)^-1

5(-27)(1/5)

-135(1/5)

-135/5

-27

Hopes this helps please mark brainliest

Answer:

Hello' I think you forgot to add a picture

Answer:

yes

Step-by-step explanation:

22/13 =1.69≈3.2

13/4 = 3.2

Answer:

(x - 5)² + (y + 6)² = 16

Step-by-step explanation:

assuming you require the equation of the circle

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (5, - 6 ) and r = 4 , then

(x - 5)² + (y - (- 6) )² = 4² , that is

(x - 5)² + (y + 6)² = 16

Answer:

\(\huge\boxed{\bf\:\boxed{\mathfrak{2}}\:cans\:each}\)

Step-by-step explanation:

We need to find the number of cans of food each cat in the animal shelter gets per day.

Given,

So,

Number of cans for each cat:

= Total number of cans / Total number of cats

= 20/10

= 2 cans each

\(\rule{150}{2}\)

we have the following:

therefore, the verbal expression is five plus two times x

9514 1404 393

Answer:

  12 units

Step-by-step explanation:

The ratio of the base to the other sides is ...

  4 : 7 : 7

The perimeter is a total of 4 +7 +7 = 18 ratio units, so each ratio units stands for 54/18 = 3 length units.

The base length is then ...

  (4 ratio units)(3 length units/ratio unit) = 12 length units