The diameters of two soup bowls with similar shape are 5 inches and 7 inches. The smaller bowl holds 10 fluid ounces. How much does the larger bowl hold?

y = 7

I have attached the step explanation in the photo

Answer:

answer is y=7

Step-by-step explanation:

3+2y-24=14-3y

first solve 3+2y-24 by collecting like terms together

2y+3-24

2y-21

substitute (2y-21) into 3+2y-24=14-3y

2y-21=14-3y

collect like terms together

2y+3y=14+21

5y=35

5y/5=35/5

y=7

On September 15, Jerome, Incorporated purchased debt investments as trading securities at a cost of $8,850.

The journal entry for this transaction would include the following accounts: "Debt Investments" and "Cash." Since Jerome, Incorporated purchased debt investments as trading securities, the "Debt Investments" account will be debited to record the increase in the asset. The "Cash" account will be credited to reflect the outflow of cash due to the purchase.

The journal entry would be as follows:

Date: September 15

Account Debit ($) Credit ($)

Debt Investments 8,850

Cash 8,850

By debiting the "Debt Investments" account, we increase the value of the investment on the company's balance sheet. The corresponding credit to the "Cash" account shows the decrease in cash resulting from the purchase. This journal entry accurately records the acquisition of debt investments as trading securities by Jerome, Incorporated on September 15.

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Answer:

A

Step-by-step explanation:

Divide both numbers by 6. 1 inch per 7.5 ft.

Answer:

The shortest side of the triangle is 18

Step-by-step explanation:

Let the sides the triangle be x, y and z.

From the question, the perimeter of the rectangle is 64, that is

x + y + z = 64 ...... (1)

Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)

The third side, z, is 20 less than the sum of the other two, that is

z + 20 = x + y ...... (3)

Substitute equation (3) into (1)

Then,

z + 20 + z = 64

2z +20 = 64

2z = 64 - 20

2z = 44

z = 44/2 k

z = 22

From equation (3)

z + 20 = x + y

Then, k

22 + 20 = x +y

42 = x + y

x = 42 - y ...... (4)

Substitute this into equation 2

3x = 4y

3(42-y) = 4y

126 - 3y = 4y

4y + 3y = 126

7y = 126

y = 126/7

y = 18

Substitute this into equation (4)

x = 42 - y

x = 42 - 18

x = 24

∴ x = 24, y = 18 and z = 22

Hence, the shortest side of the triangle is 18.

The answer is 60 or 15 because you need to have 150 for a triangle

Answer:

The second line

Step-by-step explanation:

Answer:

I will say this idk if you learn by reading or watching better, so if it's reading then read on! but if it's watching then look up "how to graph lines" and there is a bunch of videos!

Step-by-step explanation:

so you have y = 3x - 2 so first on the y axis your start point will be (0, -2)

then refer to rise over run ( rise/run) where rise is up(on the y axis) and run is across on the x axis.

so you start at (o, -2) and up 3 points on the y axis and across 1 point (go left) and mark it and repeat( up 3 across 1) until you reach  the top of the graph

then finish the graph so repeating this going to the bottom is the same but different directions:

so go back to (0, -2) and go down 3 points (y axis) and across 1 point(this time go right on the x axis) and repeat until you reach the bottom and then use the points you marked to trace a line and boom your done! (this explanation is only for number 10)

same rise over run but different points and possibly line direction.

so for number 11: your starting point is (0, 3) and you go up 4 point and across 1 point but this time go across to the right. repeat. once you at the top of the graph go back to (0, 3) and go down 4 points and 1 point to the left. repeat. until you reach the bottom. trace the line.

number 12: a bit more tricky. starting point  is (0, 5) for this one you go up 6 points and across 5 to the right. repeat. until you get to the top then go back to (0, 5) and go down 6 points and across 5 to the left. repeat. once you reach the bottom trace your line. then done! Sorry to inform you I don't know about 13 and 14! :(

Bonus but still important: the reason why you are going left and right on some of the lines is because the + or - in your equations tell you which direction the line is facing, toward the left (on the top part of your graph) would be - and toward the right part of your would be a + in the equation

More Bonus: a formula Is y=mx + b (0, b)( for ex: 0,5) is the starting point and (mx or for ex 4x is the amount you go up and across. When there is a x that always means across 1 and when there is not a x (ex: 6/5) it's across whatever the 5 is. ex: 6/6 is up 6 and across 6

Hope this helps!

Answer:

D. {1}

Step-by-step explanation:

F(x)=3x−1

Let F(x) =2

2 = 3x-1

Add 1 to each side

2+1 = 3x-1+1

3 =3x

Divide by 3

3/3 = 3x/3

1 =x

The correct the equation for this wave traveling to the right, if its amplitude is 0.020 cm is D(x, t) = 0.020 cos(9.69x – 3340t) cm. The correct answer is C.

We know that the equation for a longitudinal wave traveling to the right is given by:

D(x,t) = Dmax cos(kx - wt)

where:

Dmax = amplitude of the wave

k = wave number = 2π/λ

λ = wavelength

w = angular frequency = 2πf = 2π/T

f = frequency

T = period

x = position

t = time

We are given the following information:

f = 532 Hz

v = 345 m/s

Dmax = 0.020 cm

D = -0.020 cm at t = 0 and x = 0

We can calculate the wavelength and wave number as follows:

v = λf

λ = v/f = 345/532 = 0.6485 m

k = 2π/λ = 9.69 m^-1

We can also calculate the angular frequency as follows:

w = 2πf = 2π(532) = 3344.5 rad/s

The equation for the wave is therefore:

D(x,t) = 0.020 cos(9.69x - 3344.5t)

At t = 0 and x = 0, we have:

D(0,0) = 0.020 cos(0) = 0.020 cm

This does not match the given value of D, so we need to add a phase shift to the equation to account for this:

D(x,t) = 0.020 cos(9.69x - 3340t)

Therefore, the correct option is (c) D(x, t) = 0.020 cos(9.69x – 3340t) cm.

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Answer:

Step-by-step explanation:

Two lines in standard form (Ax+By=C) are parallel if their numbers by x end by y (A and B) are the same.

So every line: 2x + 3y = C is parallel to 2x + 3y = 15.

If we want line that passes through given point we just need to place x-coordinate and y-coordinate of the point into x and y from equation to calculate C:

2x + 3y = C          and  point (-3, -5)

2(-3) + 3(-5) = C

- 6 - 15 = C

C = -21

x = √(10²+24²)

= √(100+576)

=√(676)

= 26.

Answer:

26

Step-by-step explanation:

since wz is a tangent to the circle then measure angle wzy equal 90° so you will be using Pythagoras therom then X = (24)^2 + (10)^2 all under a square root as it's a hypotenuse

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Starting 3 feet from the motion detector, you will be at the point (0, 3) on the graph.

A normal walking speed is about 3 mph, or about 4.4 feet per second. So, walking slowly may be something less than 2 feet per second. In the attached graph, we show a walking speed of about 4 feet in 10 seconds, a really slow speed. Since you're walking away, the distance is increasing with time.

Answer:

Step-by-step explanation:

urmom

C.

Volume of a cylinder is pi times radius squared times height.

Answer:

4502 pieces of grass

Step-by-step explanation:

The radius of the semicircle is 36 meters, so its perimeter is:

Perimeter = pi * radius = 113.097 m

The perimeter of both semicircles is 2 * 113.097 = 226.194 m

So if the total perimeter is 395, the length of the rectangle is:

395 = 226.194 + 2*length

2*length = 168.8

length = 84.4 m

The width of the rectangle is 2 times the radius of the semicircle, so:

width = 2 * 36 = 72 m

Then the area of the rectangle is:

Area = length * width = 84.4 * 72 = 6076.8 m2

To find the number of grass pieces, we divide the rectangle area by the grass piece area:

number of pieces = 6076.8 / 1.35 = 4501.33 pieces

So we will need 4502 pieces to cover the rectangular area.

In triangle ABC, we are given that angle C is a right angle, which means it measures 90°. We also know that angle B is 36°12′, and side c has a length of 0.6209 m. Our goal is to find the measures of angle A and the lengths of sides a and b.

Using the fact that the sum of angles in a triangle is 180°, we can find angle A:

A + B + C = 180°

A = 180° - B - C = 180° - 36°12′ - 90° = 53°48′

Now, we can apply the trigonometric ratios in the right-angled triangle ABC. The ratios are defined as follows:

Sine (sin) = Opposite / Hypotenuse

Cosine (cos) = Adjacent / Hypotenuse

Tangent (tan) = Opposite / Adjacent

Using the given values, we can determine the lengths of sides a and b:

Sine ratio:

sin B = a / c

Substituting the known values, we find:

sin 36°12′ = a / 0.6209

a = 0.6209 x sin 36°12′ = 0.3774 m

Cosine ratio:

cos B = b / c

Substituting the known values, we find:

cos 36°12′ = b / 0.6209

b = 0.6209 x cos 36°12′ = 0.5039 m

Tangent ratio:

tan B = a / b

Substituting the values of a and b, we find:

tan 36°12′ = 0.3774 / 0.5039 = 0.7499

Therefore, the lengths of sides a and b are approximately 0.3774 m and 0.5039 m, respectively. Angle A measures 53°48′, angle B measures 36°12′, and angle C is the right angle.

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Answer:

10x + 15

Step-by-step explanation:

x - 1 = 1 (2).

x + 4 x 10x + 15 / 2.445

x + 4 (2) / 2.445 = x1 - 4

10x + 15

Answer:Length of the prism is 9 cm.

Step-by-step explanation:

We are given,

A rectangular prism with volume 72 cm², width 2 cm and height.

As, we know,

Volume of a rectangular prism = Length × Width × Height

i.e. 72 = Length × 2 × 4

i.e. 72 = Length × 8

i.e. Length =

i.e. Length = 9 cm.

Hence, the length of the prism is 9 cm

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

For this you will have to use pythagoras’ theorem.

The formula for the shorter side of this triangle is u²=c²-b² (or in this case u²=17²-8²).

17²=289

8²=64

The formula becomes u²=289-64 or u²=225

Then to find u on its own you have to square root 225.

The square root of 225 is 15.

A poster of area 11760 cm2 has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the sides. The dimensions that maximize the printed area are 500 cm x 23.52 cm.

The problem can be solved using the following concept:

Suppose we have a function f(x), then at the maximum/minimum point, it holds:

          f '(x) = 0

In the given problem, let:

q = length of the poster

p = width of the poster

Then,

p x q = 11760

or q = 11760/p

Let f(p,q) be the function of printed area, then:

f(p,q) = (p - 20)(q - 12)

f(p) = (p - 20) (11760/p - 12)

f(p) = -p² + 1000p - 980 x 20

At the maximum point:

f '(p) = 0

-2p + 1000 = 0

p = 500

Substitute p = 500 to get q:

q = 11760/p = 11760/500 = 23.52

Hence, the maximum printed area obtained if the dimensions are 500 cm x 23.52 cm

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Hello, the answer is \(\frac{8x-1}{15}\). I will attach a photo of my work, along with an explanation of each step.

I hope this helps! If you feel this helped, feel free to give me Brainliest. Have a good day, and good luck on your assignment. :)

Answer:

the answer is (8x-1)/15, like the other person said. to solve this you need common denominators, by multiplying each side by the other denominator.

a. The unemployment rate is 20%.

b. The labor-force participation rate is 60%.

According to the question,

Working age population- 100,000

Labour force - 60,000

Unemployed - 12000 instructions

a) The unemployment rate is the percentage of the labor force that is unemployed and it is calculated as follows:

Unemployment Rate = \(\frac{Number of unemployed People}{Labor force}\) × 100

When an unemployed population is 12,000 and the labor force is 60,000,

the unemployment rate is  = \(\frac{12000}{60000}\) × 100 = 20%

b) labor force participation rate is the percentage of working adult population that participates in labor either by actively looking for a job, or working. It is calculated as follows:

Labor Force Participation Rate = \(\frac{Labor force}{working age population}\) × 100

When the labor force is 60,000 and the working-age population is 100,000

Labor Force Participation Rate = \(\frac{60000}{100000}\) × 100 = 60%

So, a. The unemployment rate is 20%.

b. The labor-force participation rate is 60 %.

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9514 1404 393

Answer:

  7) compare what Jason needed to do with what he did

  8) Jason used an incorrect formula to estimate his need

  9) an overestimate ensures Jason can finish the job

Step-by-step explanation:

7) A critique is a comparison of what you have with what you expect. We can critique Jason's reasoning by comparing what he did with what we expected him to do. (We don't actually know his reasoning; we only know his action.)

__

8) Jason multiplied the dimensions of his room, an action appropriate to finding its area. We expected that Jason would use a formula for the perimeter of the room. We conclude that Jason chose the wrong formula for computing the length of border needed. We also note that Jason did not make any use of dimensional analysis. Had he done so, he would have known that his result was in square feet, not linear feet, so was not applicable to the question of whether he had enough border.

__

9) If Jason's goal is to finish his wallpaper job without making another trip to the store, he would want to make sure that he does not run short of wallpaper before the task is done. To ensure that he has enough, it makes sense that he would make an estimate that would give him more than enough.

Answer:

A is right

Step-by-step explanation:

The pair of both decimals that represent rational numbers is in option \((a)\).

A rational number is a number which is expressed as the ratio of two integers, where as the denominator should not be equal to zero \((\neq 0)\) and   are terminating and no-terminating but repeating decimals.

Irrational numbers can not be expressed in the form of fractions and are non-terminating and non-recurring.

We have,

\(0.752\) and \(0.232323.....\)

In the above given numbers \(0.752\) is terminating, so it is a rational number.

And,

\(0.232323....\) is non-terminating and repeating number, so it is also a rational number.

So, the pair of option \((a)\) i.e. \(0.752\) and \(0.232323.....\) is the pair of rational number.

Hence, we can say that the pair of both decimals that represent rational numbers is in option \((a)\).

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There are different ways to draw a circle. To construct a circle through points X, Y, and Z, one must:

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The poverty line is determined by the level of income needed to cover basic needs.

The poverty line is a threshold used to measure poverty and determine eligibility for various assistance programs. It represents the minimum income level required for individuals or households to meet their basic needs, such as food, shelter, clothing, and healthcare. The specific calculation of the poverty line varies from country to country and is often adjusted for factors like family size and location. To determine the poverty line, policymakers and researchers consider factors such as the cost of living, household expenses, and prevailing social standards. They assess the minimum income necessary to provide a decent standard of living and ensure that individuals and families are not living in extreme deprivation. The poverty line is not based on estimates from middle- or high-income households or surveys completed solely on the elderly. Instead, it is designed to reflect the income level below which individuals or households are considered to be living in poverty, indicating the need for targeted interventions and support to improve their economic well-being.

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Answer:

102055290485752224 /125

Step-by-step explanation:

(5)(95524.36)+(854793.8888)(955133552.2) + 9/100 (7) / 100 + 6^2/ 12^2

= 477621.8 + (854793.8888)(955133552.2) + 9/100 (7) / 100 + 6^2 / 12^2

= 477621.8 + 816442323408395.75 + 9/100 (7) / 100 + 6^2 /12 ^2

= 816442323886017.5 +  9/100 (7) / 100 + 6^2 /12 ^2

= 816442323886017.5 + 63 / 100 /100 + 6^2 /12 ^2

= 816442323886017.5 + 63/10000 + 6^2 /12 ^2

= 102055290485752192/125 + 36/12^2

= 102055290485752192/125 + 36/144

= 102055290485752192/125 + 1/4

= 102055290485752224/125

Answer:

4567890,1234567890

Step-by-step explanation:

Answer:

N<5

Step-by-step explanation:

Check out the pic

Answer:

? = 14

Step-by-step explanation:

let us say that ? = x

7^x * 7^5^4 = 7^34

When you have a power to a power you multiply

7^x * 7^20 = 7^34

when you multiply common bases you add the power. since all the bases aer the same just look at the power

7^34-20 = 7^x

7^14 = 7^x