Solve the formula h=54t+12at2 h = 54 t + 1 2 a t 2 for a.

Answer:

Question 1

Was the price per ounce reduced by the same percent as the size of the cup? No it's not the same

Question 2

If not, find the price difference per ounce in terms of a percent.

13.8%

Step-by-step explanation:

The first yoghurt cup size = 9 oz

The second and recent yoghurt cup size = 7 oz

The difference in ounces = 9 oz - 7 oz

= 2 oz

Converting this difference to percentage

= 2 oz/ 9 oz × 100%

= 22.222222222%

The percent reduction in cup size is approximately

22.2%.

The first retail price per ounce = 87 cents

The second and recent retail price per ounce =75 cents

The difference in prices = 87 cents - 75 cents

= 12 cents

Converting this difference to percentage

= 12 cents / 87 cents × 100%

= 13.793103448%

The percent reduction in yoghurt price per ounce is approximately

13.8%.

Question 1

Was the price per ounce reduced by the same percent as the size of the cup?

From the above calculation,

Percent reduction in price per ounce =

13.8%

Percent reduction in the size of the cup = 22.2%

13.8% ≠ 22.2%

Therefore, it is not the same

Question 2

If not, find the price difference per ounce in terms of a percent.

Therefore, the price difference per ounce in terms of percent is

13.793103448%.

Approximately ≈ 13.8%

Answer:

3 * (7 + n)

Step-by-step explanation:

Three times - '3 *'

The sum of a number and 7 -  '(7 + n)'

"Three times the sum of a number and 7” would be '3 * (7 + n)'.

Hope this helps.

The required equation is 3*(n + 7).

It is required to find the equation.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

Let the number be n.

The sum of a number and 7 is  n + 7

Three times the sum of a number and 7 is

3*(n + 7).

Therefore, the required equation is 3*(n + 7).

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Answer:

1. 15

2.-54

3.-19

4.1.5

5.-5

6.63

7.1

8.-26

9.-4

10.7

11. 0

12. -4

Step-by-step explanation:

all you do is plug in the number within the parentheses to the equation as the variable x and solve from there.

Answer:

4

Step-by-step explanation:

Answer:

ST = 28 unit

TU = 17 units

Step-by-step explanation:

Given:

ST = 7x

SU = 45

TU = 5x – 3

Find:

Each value

Computation:

SU = ST + TU

45 = 7x + 5x - 3

48 = 12x

x = 4

So,

ST = 7x

ST = 7(4)

ST = 28 unit

TU = 5x – 3

TU = 5(4) – 3

TU = 17 units

Answer:

see below

Step-by-step explanation:

x = -6  ⇒

Answer:

x =  - 6

Step-by-step explanation:

x = -6x⁻² x⁻¹ x⁰ x¹ x²

x² = 0,  x = 0

x¹  = 0, x = 0

the following points are undefined

x = 0

combine undefined points with solutions:

x = - 6

Answer:

0

Step-by-step explanation:

10-10=0

Answer:

D. 34 ft

Step-by-step explanation:

25+9=34

Jim is 34ft below Jenifer

Answer:

It's 30 degrees. YSX and QSL are verticals so they are equal. Then QSL AND MLP are corresponding so they are too equal. So then yeah.

Answer:

30°

Step-by-step explanation:

It’s important to note the angle relationships.

We have two parallel lines intersecting one line. This means that each of the angles formed by one line will be equal to the angles formed by the other.

Using this info, we can tell that XYZ and MLP are alternate exterior angles, since they are formed by two parallel lines.

Alternate exterior angles are equal: since we know XYZ is 30°, MLP must be 30°.

Hope this helped!

Answer:

0.77777778

Step-by-step explanation:

...

Hi there!

~

[tex]\frac{7}{9} = 0.77777778[/tex]

Hope this helped you!

You would have 6,000 nickels. Multiply 40 by 150

There are 6000 Nickels in 150 rolls of Nickle.

To find out the total number of nickels you have, you need to multiply the number of nickels in a single roll by the number of rolls.

Given that there are 40 nickels in a roll and you have 150 rolls..

So, the total number of nickels can be calculated as:

= 40 nickels/roll x 150 rolls

= 6000 nickels.

Therefore, you have 6000 nickels.

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Answer:

d. H0: μ <= 21.80 Ha: μ > 21.80

Step-by-step explanation:

We set the null hypothesis as what is already given . We are already informed that the average wage is equal to  μ <= 21.80 against the claim that is required. It is required to test whether the average wage of the computer programmers is greater than μ > 21.80

So option d is the best answer.

Hypotheses testing is done  using an observation and a claim. The observation is set as a null hypothesis and claim is set as an alternative hypothesis. The null and alternative hypotheses must be chosen wisely to get the correct results.

The critical region is dependent on the claim set.

Answer:

28.2 gal

$3.12/gal

Step-by-step explanation:

Length of trip:

14,108.6 mi - 13,487.8 mi = 620.8 mi

(620.8 mi)/(22 mpg) = 28.218 gal

She used 28.2 gallons.

price per gallon = $88.04/(28.218 gal) = $3.12/gal

Answer:

N = 0.8

Step-by-step explanation:

3(n + 1) = 5.4

3n + 3 = 5.4

     - 3 = -3

3n = 2.4

3n/3 = 2.4/3

N = 0.8

Answer:

The lines are the same, they are just in a different position.

Step-by-step explanation:

A reflection is a type of rigid transformation. Rigid transformations do not change the size nor the length of the pre-image.

In other words, the pre-image and the image in a rigid transformation are congruent.

Hope this helps.  

Based on the fact that the right line is a reflection across the y-axis, the lines are the same, they are just in a different position.

This refers to the rigid transformation type that is used to represent an image and does not change its size or length of it.

With this understanding, we can see that the pre-image and the image in a rigid transformation are congruent which makes the lines to be the same, even if they are in a different position.

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Answer: [tex](6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)[/tex] are the required points.

or  (18.124,0) and ( -6.124,0) are the required points.

Step-by-step explanation:

Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .

Then by distance formula , we have

[tex]\sqrt{(x-6)^2+(0-(-7))^2}=14\ \ \ [\ \because distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}][/tex]

Taking square on both the sides , we get

[tex](x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0[/tex]

Using quadratic formula : [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}[/tex]

so, [tex](6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)[/tex] are the required points.

since [tex]\sqrt{3}=1.732[/tex]

so, [tex](6+7(1.732),0)\text{ and }(6-7(1.732),0)[/tex] are the required points.

i.e. (18.124,0) and ( -6.124,0) are the required points.

Answer:

32 ft

Step-by-step explanation:

First Tristan must determine the length of one side of his square garden.  Sine A = x^2, where x is the length of one side, and since 64 ft^2 = x^2, we can find the length x by taking the square root of both sides:   8 ft = x.

Now the length of the material enclosing the garden is the perimeter, P.

For a square, P = 4x.

Therefore, in this case, P = 4(8 ft) = 32 ft

Answer:

the fully simplified expression is: [tex]-7y^2+7x-8[/tex]

Step-by-step explanation:

The like terms are:

-6 and -2, which combined give -8

and 6 x and x, which combine give 7 x

So the simplified form of this is:

[tex]-7y^2+7x-8[/tex]

Answer:

12%

Step-by-step explanation:

As per the given formula:

Interest rate is 12%

Answer:

A

Step-by-step explanation:

Answer:8.8 km, 8810 m, 8812 m,  8.821 km, 8.9 km, 8901 m

Step-by-step explanation:

8810 m, 8.9 km, 8901 m, 8.821 km,  8812 m, 8.8 km

which mean

8810 m, 8900 m, 8901 m, 8821 m, 8812 m, 8800 m

arrange accordingly

8800 km, 8810 m, 8812 m, 8821 m, 8900 m, 8901 m

convert back

8.8 km, 8810 m, 8812 m,  8.821 km, 8.9 km, 8901 m

Answer:

8.8km , 8810m , 8812m , 8.821km , 8.9km , 8901m

Step-by-step explanation:

1km = 1000m

Convert values in km to m by multiplying them by 1000

8.8km × 1000 = 8800m

8.821km × 1000 = 8821m

8.9km × 1000 = 8900m

Answer:

23

Step-by-step explanation:

Answer:

The answer is 23

Step-by-step explanation:

Hope this answer is helpful...

Make me as brainliest...

Answer:

4

Step-by-step explanation:

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

slope:-1/2

y-intercept:(0, 0)

Answer:

slope: [tex]-\frac{1}{2}[/tex]

y intercept: [tex]0,0[/tex]

Step-by-step explanation:

Here is a graph.

Hope this Helps!

Answer:

  d.  y = 8

Step-by-step explanation:

The given line is of the form ...

  y = constant

A parallel line must be of the same form. The matching answer is ...

  y = 8

Answer:

6301.

Step-by-step explanation:

First we find the integer such that ? / 9 = 700.

? = 700 * 9 = 6300.

Therefore the least whole number for ? / 9 > 700 should be 6301.

Answer:

5.55 million cells per microliter

4.68 million cells per microliter

Step-by-step explanation:

First, use a chart or calculator to find the z-score for reach percentage.

P(Z > z) = 0.24

P(Z < z) = 1 − 0.24 = 0.76

z = 0.706

Next, use definition of z-score to find the value.

z = (x − μ) / σ

0.706 = (x − 5.2) / 0.5

x = 5.55

Repeat for the other percentage.

P(Z < z) = 0.15

z = -1.036

z = (x − μ) / σ

-1.036 = (x − 5.2) / 0.5

x = 4.68

Answer: PERIOD

Step-by-step explanation:

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