74=53-7x I have to solve for x and havent quite grasped the concept of algebra

we know that

The button has the shape of a circle

the circumference of a circle is equal to

[tex]C=\pi D[/tex]

where

D is the diameter of a circle

Step [tex]1[/tex]

Find the circumference of the 1-inch button

In this case we have that the diameter is equal to

[tex]D1=1\ in[/tex]

substitute the value in the formula

[tex]C1=\pi*1= \pi\ in[/tex]

Step [tex]2[/tex]

Find the circumference of the 3/8-inch button

In this case we have that the diameter is equal to

[tex]D2=3/8\ in[/tex]

substitute the value in the formula

[tex]C2=\pi*3/8= 3\pi/8\ in[/tex]

Step [tex]3[/tex]

Find the difference of their circumferences

[tex]C1-C2=\pi-3\pi/8=5\pi/8\ in[/tex]

therefore

the answer is

[tex]5\pi/8\ in[/tex]

The total number of candies are 3¹² if there are  (3⁶)² . 3⁰ candies in a store; the answer is 3¹² candies option (D) 3¹² is correct.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The number expression is:

= (3⁶)² . 3⁰

As we know, from the properties of the integer exponent:

After using the properties of the integer exponent:

(3⁶)² = 3¹²

3⁰ = 1

(3⁶)² . 3⁰ = 3¹²

Thus, the total number of candies are 3¹² if there are  (3⁶)² . 3⁰ candies in a store; the answer is 3¹² candies option (D) 3¹² is correct.

Learn more about the integer exponent here:

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Final answer:

There are a total of 93 musicians in both the String and Brass sections of the Symphony Orchestra, with 29 in the Brass and 64 in the String section.

Explanation:

To determine how many musicians are in both the String and Brass sections of the Symphony Orchestra, we start by noting that there are 29 musicians in the Brass section. Since there are 35 more musicians in the String section, we add 35 to the number of Brass musicians to find the total in the String section:

Answer:

Barney can make 3 costumes

Step-by-step explanation:

T = 16 1/5 = 81/5 yards

O = 5 2/2 = 27/5 yards/costume.

We have the total fabric (T) and the unitari costume requirement (O). Now, if we want to know the amount of costumes that Barney can make, we can divide total fabric (T) by the unitari costume requirement (O), the result will be the amount of costumes (A).

[tex]A = \frac{T}{O}=\frac{\frac{81}{5}}{\frac{27}{5}} =\frac{81*5}{5*27} =\frac{81}{27}\\A = \frac{81}{27} =\frac{9}{3} = 3 costumes[/tex]

Finally, we can conclude that Barney can make 3 costumes. 

To find the enrollment this year, calculate 12% of last year's enrollment and add it to the enrollment from last year. The enrollment this year is 17,360.

To find the enrollment this year, we need to calculate 12% of last year's enrollment and add it to the enrollment from last year.

Therefore, the enrollment this year is 17,360.

Answer:

The answer for the area of the parking lot is 27,000m²

Step-by-step explanation:

Given that the shape of the parking lot is a rectangle we can model the area using the formula for area of a rectangle Which is

A= length *width

Step two :

Given length 20cm

Width 6cm

Furthermore the scale is

1cm:15m

That is 1cm represents 15m on paper

Therefore the length in meters

=20*15=300m

Width in meter

=6*15=90m

Area =300*90

Area =27,000m²

A peptide bond forms between two amino acids by a dehydration synthesis reaction. The number of peptide bonds in a polypeptide is always one less than the total number of amino acids. Therefore, in a polypeptide with 45 amino acids, there would be 44 peptide bonds.

A peptide bond is a chemical bond that forms between two amino acids when a carboxyl group of one amino acid reacts with the amino group of the other amino acid, releasing a molecule of water. This is a dehydration synthesis reaction, and it is how amino acids are linked together to form a polypeptide.

In a polypeptide chain, the number of peptide bonds present is always one less than the total number of amino acids. This is because each amino acid has one peptide bond with the next amino acid in the chain, except the last one. Hence, for 45 amino acids, there would be 44 peptide bonds.

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We want to make a table of ordered pairs for the given equation, and then graph two of these points to graph the equation.

We have the equation:

y = (-1/3)*x + 1

We can make the table:

[tex]\left[\begin{array}{ccc}x&y\\-1&\\0&\\1&\\3&\end{array}\right][/tex]

To complete the table, we just need to evaluate the given equation in these x-values. We will get:

y(-1) = (-1/3)*(-1) + 1 = 1/3 + 1 = 4/3

y(0) = (-1/3)*0 + 1 = 1

y(1) = (-1/3)*1 + 1 = 2/3

y(3) = (-1/3)*3 + 1 = 0

Now we just complete the table with the values that we got:

[tex]\left[\begin{array}{ccc}x&y\\-1&4/3\\0&1\\1&2/3\\3&0\end{array}\right][/tex]

Now to graph the equation, we can graph two of these points, for simplicity I will graph (0, 1) and (3, 0).

Once the points are graphed, we just need to draw a line that connects them. The graph can be seen below.

If you want to learn more, you can read:

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average for 4 months total needs to equal 55*4 = 220 minutes

43 + 62 + 57 = 162

220-162 = 58

 58 minutes

Answer:

0.71

Step-by-step explanation:

Answer:

12 hours 15 min

Step-by-step explanation:

Melissa has 14 reports to file.

She file 70% of report. She takes average of 1 hour and 15 minutes for each report.

First we find number of reported by Melissa.

Number of reported = 70% of 14

                                        = 9.8

1 hour 15 min [tex]=\dfrac{5}{4}[/tex] hours

For 1 report of file [tex]=\dfrac{5}{4}[/tex] hours

For 9.8 reports of file [tex]=9.8\times \dfrac{5}{4}\approx 12.25[/tex] hours

She will take 12.25 hours to report 70% of them.

12.25 hours = 12 hours 15 min

Hence, Melissa will take 12 hours 15 min to file 70% of report.