Ask question

Ask question

All categories

3 years ago

6

Mitchell is measured in February for the customs of a school play he’s 47 feet fabric he has 12 1/3 yards of fabric how many mor

e years event does he need

1 answer:

Step2247 [10]3 years ago

8 0

47- 12 1/3 = 34 2/3
He needs 34 and 2/3 feet more of fabric

You might be interested in

Identify the diameter of the circular base created by folding the figure into a right cone. HELP ASAP PLEASE!!

Akimi4 [234]

let's notice something, we have a circle with a radius of 12 and one 90° sector is cut off, so only three 90° sectors of the circle are left shaded, so namely the cone will be using 3/4 of that circle.

think of it as, this shaded area is some piece of paper, and you need to pull it upwards and have the cutoff edges meet, and when that happens, you'll end up with a cone-shaped paper cup, and pour in some punch.

now, once we have pulled up the center of the circle to make our paper cup, there will be a circular base, its diameter not going to be 24, it'll be less, but whatever that base is, we know that is going to have the same circumference as those in the shaded area. Well, what is the circumference of that shaded area?

$\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=12 \end{cases}\implies C=2\pi 12\implies C=24\pi \implies \stackrel{\textit{three quarters of it}}{24\pi \cdot \cfrac{3}{4}} \\\\\\ 6\pi \cdot 3\implies 18\pi$

well then, the circumference of that circle at the bottom will be 18π, so, what is the diameter of a circle with a circumferenc of 18π?

$\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=18\pi \end{cases}\implies 18\pi =2\pi r\implies \cfrac{18\pi }{2\pi }=r\implies 9=r \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{diameter is twice the radius}}{d=18}~\hfill$

3 0

3 years ago

Find the great common factor of 33, 63, and 90.

Alisiya [41]

Answer:

GCF is 3

Step-by-step explanation:

3 0

3 years ago

I need help or I will faill this

kari74 [83]

Answer:

-4x2 + 3x - 225

———————————————

3

Step-by-step explanation:

Step 1 :

4

Simplify —

3

Equation at the end of step 1 :

4

(x - (— • x2)) - 75

3

Step 2 :

Equation at the end of step 2 :

4x2

(x - ———) - 75

3

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 3 as the denominator :

x x • 3

x = — = —————

1 3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • 3 - (4x2) 3x - 4x2

————————————— = ————————

3 3

Equation at the end of step 3 :

(3x - 4x2)

—————————— - 75

3

Step 4 :

Rewriting the whole as an Equivalent Fraction :

4.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

75 75 • 3

75 = —— = ——————

1 3

Step 5 :

Pulling out like terms :

5.1 Pull out like factors :

3x - 4x2 = -x • (4x - 3)

Adding fractions that have a common denominator :

5.2 Adding up the two equivalent fractions

-x • (4x-3) - (75 • 3) -4x2 + 3x - 225

—————————————————————— = ———————————————

3 3

Step 6 :

Pulling out like terms :

6.1 Pull out like factors :

-4x2 + 3x - 225 = -1 • (4x2 - 3x + 225)

Trying to factor by splitting the middle term

6.2 Factoring 4x2 - 3x + 225

The first term is, 4x2 its coefficient is 4 .

The middle term is, -3x its coefficient is -3 .

The last term, "the constant", is +225

Step-1 : Multiply the coefficient of the first term by the constant 4 • 225 = 900

Step-2 : Find two factors of 900 whose sum equals the coefficient of the middle term, which is -3 .

-900 + -1 = -901

-450 + -2 = -452

-300 + -3 = -303

-225 + -4 = -229

-180 + -5 = -185

-150 + -6 = -156

For tidiness, printing of 48 lines which failed to find two such factors, was suppressed

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

-4x2 + 3x - 225

———————————————

3

7 0

3 years ago

Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 270 em

allsm [11]

Answer:

The number of empty seats each of these three airlines carried on its flight are as follows:

United Continental = 150 empty seats

American = 50 empty seats

Southwest = 70 empty seats

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question. See the attached pdf for the complete question.

The explanation of the answers is now provided as follows:

Let U, A and W represents number of empty seats of United Continental, American, and Southwest respectively. Therefore, we have:

U + A + W = 270 ………………………. (1)

Since United Continental had three times as many empty seats as American, this implies that:

U = 3A ………………………………… (2)

Substituting U = 3A into equation (1), we have:

3A +A + W = 270

4A + W = 270

W = 270 - 4A ………………………….. (3)

For the cost, we have:

3,000[((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100)] = $114,990

((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100) = $114,990 / 3,000

((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100) = 38.33

0.447A + 0.146A + 0124W = 38.33

0.593A + 0.124W = 38.33 ………………… (4)

Substituting W = 270 - 4A from equation (3) into (4) and solve for A, we have:

0.593A + 0.124(270 - 4A) = 38.33

0.593A + 33.48 - 0.496A = 38.33

0.593A - 0.496A = 38.33 - 33.48

0.097A = 4.84

A = 4.84 / 0.097

A = 49.8969072164948

Rounding to a whole number, we have:

A = 50

Substituting A = 50 into each of equations (2) and (3), we have:

U = 3 * 50 = 150

W = 270 - (4 * 50) = 70

Therefore, the number of empty seats each of these three airlines carried on its flight are as follows:

United Continental = 150 empty seats

American = 50 empty seats

Southwest = 70 empty seats

6 0

3 years ago

Help plz!! The function h(t)=-16t^2+22t+4 models the height (h) of a football t seconds after it is thrown. The question ask to

Black_prince [1.1K]

If you're familiar with the quadratic equation
$\frac{ -b \pm \sqrt{b^2-4ac}}{2a}$

well, $\frac{ -b}{2a}$ is the x component of the vertex, in your case, the vertex is the highest point

figure out what t is at the highest point, and then substitute that back into the equation in order to determine height

x=t in this problem

8 0

3 years ago