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2 years ago

For what value of x is the equation 2^2x+7 = 2^15 true?

Mathematics

1 answer:

GenaCL600 [577]2 years ago

8 0

Answer:

x = 4

Step-by-step explanation:

We assume your equation is intended to be ...

2^(2x+7) = 2^15

Equating exponents gives ...

2x +7 = 15

2x = 8 . . . . . . subtract 7

x = 4 . . . . . . . divide by 2

The value of x is 4.

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If there are 3 boys for every 4 girls in the choir, how many boys are there if there are 42 students?

Diano4ka-milaya [45]

So if there are 3 boys to every 4 girls, and there are 42 boys, the answer would be 42 to 56????? I'm not quite sure, and it's probably wrong, but that's how we learned in my school.

3 0

2 years ago

1.32:3 1/7 =(1.4y): 5/6

alina1380 [7]

After solving $1.32:3 \frac{1}{7}=(1.4y):\frac{5}{6}$ we get y=0.24

Step-by-step explanation:

We need to solve the ratio: $1.32:3 \frac{1}{7}=(1.4y):\frac{5}{6}$ and find value of y

Solving:

$1.32:3 \frac{1}{7}=(1.4y):\frac{5}{6}$

Converting fractions into decimals

$1.32:3.14=(1.4y):0.83$

Ratio can be written as:

$\frac{1.32}{3.14}=\frac{1.4y}{0.83}$

Now cross multiply

$1.32*0.83=1.4y*3.14$

$1.09=4.39y$

$y=\frac{1.09}{4.39}$

$y=0.24$

So, after solving $1.32:3 \frac{1}{7}=(1.4y):\frac{5}{6}$ we get y=0.24

Keywords: Ratio

Learn more about Ratios at:

#learnwithBrainly

6 0

2 years ago

The length of a pencil is measured with two rulers. Report the length of the pencil from each ruler with the proper number of di

Roman55 [17]

Answer

Length measured using Ruler A= 1.17 dm

Length measured using Ruler B=1.18 dm

Step by Step Explanation:

I have added the missing photograph which shows the length of pencil being measured with two rulers.

Ruler A has marking separated by 1 dm

Ruler B has marking separated by 0.1 dm

Length measured using Ruler A= 1.17 dm

(As we can see I have added the middle markers, we can see the tip of pencil is somewhere between 1 and 1.25, it is more than 1.125 but lesser than 1.25, it is somewhere around 1.2 and 1.125 dm, approximately equal to one half of 1.25 which is 1.125 with addition of one of the three halves of half of 1.125 which is 1.125+0.045 dm hence 1.17dm)

Length measured using Ruler B=1.18 dm

(we can see the tip of pencil is just before 1.2 dm, it is clear that the value is precisely 1.18 and not 1.19 dm)

<u><em>Tip:Always measure one more decimal than given by the ruler when unsure about the exact value</em></u>

6 0

2 years ago

Lyle works at a bakery. He needs to mix 1 cup of brown sugar and 12 cup of granulated sugar to make each tray of 60 cookies. Eac

andriy [413]

Answer:

50 trays

3000 cookies

Step-by-step explanation:

We are given the following in the question:

1 cup of brown sugar and $\frac{1}{2}$ cup of granulated sugar makes a tray of 60 cookies.

Total cups of sugar used(brown and granulated) = 1.5 cups

Number of sugar cups used by Lyle each week = 75

We have to find the number of trays made each week.

$\text{Ratio} = \dfrac{\text{Cups of sugar mixture}}{\text{Number of trays}}\\\\\dfrac{1.5}{1} = \dfrac{75}{\text{Number of trays}}\\\\\Rightarrow \text{Number of trays} = \dfrac{75}{1.5} = 50$

Thus, 50 trays of cookies are made each week.

Total number of cookies made each week =

$=\text{Number of trays}\times \text{Number of cookies in 1 tray}\\=50\times 60\\=3000$

Thus, 3000 cookies are made each week.

8 0

2 years ago

A snack box contains at most 7 ounces of cheese. Fiona says the amount of cheese can be represented by 2x - 3. Which graph shows

Softa [21]

The function representing the number of ounces is:
2x - 3
Now, we are given the number of ounces = 7
Therefore:
2x - 3 = 7
We will solve this equation for x as follows:
2x-3 = 7
2x = 7 + 3
2x = 10
x = 5

Therefore, the number line representing this function will be the line having a solution ending at 5 (5 is included).

Therefore, the correct choice would be line B

7 0

2 years ago