Part a: is x = 6 a solution of the equation 8x + 8 = 56? explain. Part b: Suppose the solution of the equation stays the same. How would the right side need to change if the solution is now x = 9?

Answer:

y = 3/2x + 6

Step-by-step explanation:

2/3y - 4 = x

2/3y = x + 4

y = 3/2(x) + 4*3/2

y = 3/2x + 6

hence the answer is y = 3/2x + 6

hope this helps

Answer:  B. [tex]=2.25^{\circ}F[/tex]

Step-by-step explanation:

Given: At 2:30 am the temperature in Joelle is 3 F.

The temperature drops 3/4 of a degree in 30 min.

3/4 of a degree= [tex]\frac{3}{4}\times1^{\circ}F=\frac{3}{4}=0.75^{\circ}F[/tex]

Therefore, the temperature on Joelle after 30 min= [tex]3^{\circ}F-\frac{3}{4}\ of\ 1^{\circ}F[/tex]

[tex]=3^{\circ}F-0.75^{\circ}F[/tex]

[tex]=2.25^{\circ}F[/tex]

Thus, the temperature on Joelle at 3:00am=[tex]=2.25^{\circ}F[/tex]

Answer:

150.75 cm

Step-by-step explanation:

Given heights,

152.0 cm, 150.75 cm, 149.5 cm, and 149.25,

∵ Calvin is taller than Josh, but shorter than Mark,

The increasing order of heights,

Josh < Calvin < Mark,

Also, Bradley is the tallest,

That is, the height of Bradley is the greater than Josh, Calvin and Mark,

So, the final increasing order of heights,

Josh < Calvin < Mark < Bradley

∵ 149.25 < 149.5 < 150.75 < 152.0

Hence, the height of Mark is 150.75.

The circumference of the circle with radius [tex] r [/tex] is given by [tex] P=2\pi r [/tex]. When [tex] r=39\;in [/tex],

[tex] P=2\pi (39)\\
P=78\pi \;in [/tex]

Correct choice is (C).

Answer:

Option C is correct

78 π inches

Step-by-step explanation:

Circumference (C) of a circle is given by:

[tex]C = 2 \pi r[/tex]                   .....[1]

where, r is the radius of the circle.

As per the statement:

From the given figure;

radius of the circle(r) = 39 in.

Substitute this value in [1] we have;

[tex]C = 2 \cdot \pi \cdot 39 = 78 \pi[/tex]

Therefore, the value of circumference of the circle in terms of pi is, [tex]78 \pi in.[/tex]

The greatest common factor of two whole numbers can be found by an example given.

Greatest common factor, as the name implies, is greatest among all common factors among the quantities given.

We can factorize the quantities in smallest relative factors possible (one level of factors over which all quantities can form themselves), and collect as many common factors as we could. Those would be together compose as GCF(Greatest common factor).

For example;

we have the 52, and 24, for a number that can go into both that is the largest possible for my example

That would be 4 since, no number greater can go into both, while 2 would be a option it would not be the greatest.

Therefore, the greatest common factor of two whole numbers can be found by an example given.

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Answer:

-4 1/2, -1/2, 1/4, 2/3, 2 1/3

Step-by-step explanation:

Given the numbers in the order below;

-1/2, 1/4,2/3,-4 1/2, 2 1/3

Firstly we will convert this fractions to percentage.

For -1/2;

-1/2×100 = -50%

For 1/4;

1/4×100 = 25%

For 2/3;

2/3×100 = 66.7%

For -4 1/2 = -9/2

-9/2×100 = -450%

For 2 1/3 = 7/3

7/3×100 = 233.1%

Ordering the numbers from least to greatest means arranging from lowest to highest(ascending order of magnitude)

During arrangement, the negative values are the least and that come first followed by the positive values. The arrangements gives;

-450%, -50%, 25%, 66.7%, 233.1%

According to their fractions will give us;

-4 1/2, -1/2, 1/4, 2/3, 2 1/3 (From lowest to greatest)

Answer:

i dont know

Step-by-step explanation:

Answer:

Step-by-step explanation:

dude really put what i typed as a question.

Answer: There are 30 batches of barbeque sauce that she can make by using the spice mixture.

Step-by-step explanation:

Since we have given that

Number of tablespoons of her spice mixture = [tex]7\dfrac{1}{2}=\dfrac{15}{2}[/tex]

Number of tablespoons to make a batch of barbeque sauce = [tex]\dfrac{1}{4}[/tex]

so, the number of batches of barbeque sauce would be

[tex]\dfrac{15}{2}\div \dfrac{1}{4}\\\\=\dfrac{15}{2}\times 4\\\\=15\times 2\\\\=30[/tex]

Hence, there are 30 batches of barbeque sauce that she can make by using the spice mixture.

To find the percent between two z-scores under the standard normal curve, subtract the individual areas. In this case, the percentage between z = -1.10 and z = -0.36 is 1.72%.

To find the percent of the total area under the standard normal curve between z-scores, you need to first calculate the difference between the two areas to the left of each z-score. Given that the area to the left of z = -1.10 is 0.3446 and the area to the left of z = -0.36 is 0.3618, you can find the percent between them by subtracting these values: 0.3618 - 0.3446 = 0.0172 or 1.72%.

Answer:

y-5=-1/2(x+3)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-5)/(-1-(-3))

m=-1/(-1+3)

m=-1/2

y-y1=m(x-x1)

y-5=-1/2(x-(-3))

y-5=-1/2(x+3)

Answer:

Original - 4000x  

so, after 3 years we have:  

Original - 12000 = 18000  

=> Original = $30,000  

Step-by-step explanation:

Answer:

Step-by-step explanation:

Givens

We can deduct the equation that represents this problem using the point-slope formula

[tex]y-y_{1} =m(x-x_{1} )\\y-2=2(x-1)\\y=2x-2+2\\y=2x[/tex]

So, for [tex]y=24[/tex], we have

[tex]y=2x\\24=2x\\x=\frac{24}{2}\\ x=12[/tex]

Therefore, after 12 minutes there were 24 gallons of water in the pool. The right answer is (12,24).

To find the percent decrease between the number of games won by the Cubs in 2013 and 2014, subtract the two numbers and calculate the percentage.

To find the percent decrease, we need to calculate the difference between the two numbers and then calculate what percentage that difference is of the original number. In this case, the initial number of games won by the Cubs in 2013 was 87, and the number of games won in 2014 was 75. The difference is 87 - 75 = 12. To calculate the percent decrease, divide the difference by the original number and multiply by 100: (12 / 87) * 100 = 13.79%. Therefore, the percent decrease is approximately 13.79%.

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The nearest tenth is the first digit after the decimal point. The round 0.955 inches to the nearest tenth of an inch is 1.0 inches.

Given 0.995 inches

round to the nearest tenth of an inch.

This means round to the nearest first decimal point and to include the actual first decimal point (and that decimal point only, the tenth place).

We are given the number 0.955.  This is given to the nearest thousands.  

We examine the tenth place at 0.9.

So we know our choices are

The nearest tenth is the first digit after the decimal point.

0.9 (round down to the nearest tenths place) or 1.0 (round up to the nearest tenths place).  

We examine the number 0.955 and look to the next value, the hundredths place  

If that digit is 5 or greater we round up and the correct answer is  1.0.

If that number is 4 or less (i.e. 0 to 4), we round down and the correct answer is 0.9.

In the case of our give value:  0.955.  

The digit to the right of 9 is 5 so, as previously mentioned,

we round up to 1.0.

Therefore, The round 0.955 inches to the nearest tenth of an inch is 1.0 inches.

The answer is  1.0 inches.

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