Two angles are complementary. mZT is (3x + 17)° and mZW is 19°
Solve for x and for mZT.

Answer: 45 people

Step-by-step explanation:

Data: $50 to rent the Skate Center

$5.50 for each person who attends

Limit of spending: $300

How many people can attend=x

Step one, Make the equation

$5.50x+$50=$300

Reason: Since we know that amount of people(x) multiplied by $5.50 added to $50 will get us $300, we can make an equation from that. The equation will make the problem simpler to solve.

Step two, Start isolating x by subtracting $50 on both sides

$5.50x+$50-50=$300-50=$5.50x=$250

Reason: Since we have to find x, we have to isolate it. The first step in doing that is subtracting $50 by 50 to get rid of it. However, since what you do to one side, you do to the other, you have to subtract $300 by 50 to get $250.

Step three, Divide by 5.50 on both sides

$5.50x/5.50=$250/5.50=x=45.454545454-

Reason: Since we have to isolate x and 5..50 is being multiplied by x, you have to divide it by 5.50 to get rid of 5.50. What you do to one side, you do to the other so you divide 250/5.50 to get 45.4545454545-.

Since this is a irl problem, you have to round it to 45 people

Answer: 45 people

I hope this helps!

Step-by-step explanation:

you can get simply V= ABh πr^2 h π3.14^2 x 17.9 then you get the answer Ihope I can help you

Answer:

D

Step-by-step explanation:

Answer:  $18.19.

You'll have to set this up as two separate problems. First, we want to take 15% off the original $20 bill. To do this, you're going to multiply 20 by .15, which gives you $3. So, 15% off $20 is $17.

Now, we want to find 7% of the new bill, so we're going to multiply 17 by .07 to get $1.19, and add it to the $17, making the final bill $18.19. You could also multiply $17 by 1.07 to get your final total without the extra step in the middle, but only do that once you're comfortable with the math.

Answer: 10

Step-by-step explanation:

the 6 digit in 63,700 is 60,000 and the 6 digit in 76,000 is 6,000.

60,000 / 6,000 is 10.

Answer: 10 ten

Step by step explanation:

Answer:

$92

Step-by-step explanation:

Find the profit by plugging in 10 as c and 7 as p into the expression:

5c + 6p

5(10) + 6(7)

50 + 42

= 92

So, the bakery will make $92

Answer:

3960 minutes

Step-by-step explanation:

From;

0.693/t1/2 = 2.303/t log No/N

t1/2 = half life of 90Y

No = initial activity of 90Y =  8.9 x 10^5 disintegrations per minute

N= activity of 90Y after time t = 2.6 x 10^4 disintegrations per minute

t = time taken

Since the time elapsed is 20,235 minutes, we substitute into the formula above.

0.693/t1/2 = 2.303/20235 log 8.9 x 10^5/2.6 x 10^4

0.693/t1/2 =  1.75 * 10^-4

t1/2 = 0.693/ 1.75 * 10^-4

t1/2 = 3960 minutes

Answer:

300 I think

Step-by-step explanation:

V=1/3 Bh

B=10*9=90

90*10=900         1/3 of 900= 300

Answer:

(1/2,1/4) because m= 1/5 and m= 1/2 and te equation is y=1/4x - 5/2 and y= 1/2x - 1

Substracting both

[tex]\\ \sf\Rrightarrow x=4-10=-6[/tex]

Putting in eq(2)

[tex]\\ \sf\Rrightarrow -6-4y=10[/tex]

[tex]\\ \sf\Rrightarrow -4y=16[/tex]

[tex]\\ \sf\Rrightarrow y=-4[/tex]

Hence our solution is

Answer:

$6.36

Step-by-step explanation:

3 pies require 3/2 cups of lemon juice

16 tablespoons = 1 cup

need 24 tablespoons of lemon juice

need 12 lemons at $0.53 each

total cost = 12 x 0.53 = $6.36

Answer:

16

Step-by-step explanation:

I don't know  how to explain but it is 16

Answer:

Since the Width (W) of the rectangle is not given, the answer would be Length (L) = 240/W

Step-by-step explanation:

A = L*W

240 = L*W

240/W = L

Given:

The rule of input and output function is:

[tex]25-g[/tex]

To find:

The answer if we put 19.

Solution:

Consider the input and output function is:

[tex]f(g)=25-g[/tex]

Substitute [tex]g=19[/tex], we get

[tex]f(19)=25-19[/tex]

[tex]f(19)=6[/tex]

Therefore, the required answer is 6.

Answer:

[tex]forth \: line \: - 5x - 3x + 3 = 6 \\ - 8x + 3 = 6 \\ - 8x = 3 \\ x = \frac{3}{ - 8} [/tex]

Step-by-step explanation:

35A) arc AC = 360-(100+110+80)=

360-290 = 70°

35B) L D = ½× 70 = 35°

35C) L AEC = ½(100+70)=½×170= 85°

35D) L P = ½(100-70) = ½×30 = 15°

Answer:

A. 169 is the correct answer

Answer:

B. g(x)= |x| + 5

Step-by-step explanation:

-5 represents a vertical shift down, so that narrows it down to either A or B. A shows a shift across the horizontal (X) axis, so it must be B.

[tex]x = \frac{10}{\sqrt{2}}\\\\y = 5[/tex]

Answer:

trick:

1 hour = 60 minutes

ex if said to convert 25 minutes to hour so

1 hour/60=1minutes

multiply both sides with 25

25 x 1hour/60=25minutes

5/12 hours=25 minutes

just like that for hour

Answer:

He was an Anti-federalist

Step-by-step explanation:

Answer:

Anti-federalist

Step-by-step explanation:

The Federalists, led by Secretary of Treasury Alexander Hamilton, wanted a strong central government, while the Anti-Federalists, led by Secretary of State Thomas Jefferson, advocated states' rights instead of centralized power.

x = 8.66 ft

Step-by-step explanation:

cos 30 = adj/hyp = x/10

---> x = (10 ft)cos30

= 8.66 ft

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

about 78.54

V=π·5^2·1 = 78.54

Answer:

Find the volume of the cylinder.

[tex]\star \: \: \purple{Volume_{(cylinder)} = \pi {r}^{2} h}[/tex]

[tex]\star \: \: \purple{Volume_{(cylinder)} = 3.14 \times ( {5)}^{2} \times 1 }[/tex]

[tex]\star \: \: \purple{Volume_{(cylinder)} =3.14 \times 25 \times 1 }[/tex]

[tex]\star \: \: \purple{Volume_{(cylinder)} =78.50 \: in {}^{3} }[/tex]

Find the volume of a cylinder with the same radius and double the height.

[tex]\star \: \: \purple{Volume_{(cylinder)} = \pi {r}^{2} h}[/tex]

[tex]\star \: \: \purple{Volume_{(cylinder)} = 3.14 \times {(5)}^{2} \times 2}[/tex]

[tex]\star \: \: \purple{Volume_{(cylinder)} = 3.14 \times 25 \times 2}[/tex]

[tex]\star \: \: \purple{Volume_{(cylinder)} = 157 \: in {}^{3} }[/tex]

Answer:

5 / 12

11 / 36

Step-by-step explanation:

The sample space for 2 dice = 6² = 36

Number of outcomes where sum is less than 7 = 15

Probability = required outcome / Total possible outcomes

P(obtaining a sum less Than 7) = 15 / 36 = 5/12

Number of outcomes where Sum of individual outcome is less than 20 = 11

P(sum of individual outcome less than 20) = 11/ 36

Answer:

let y=x²+9²

dy/dx=dx²/dx+d9²/dx

=[tex]2 x^{2-1}+0[/tex]

=2x is a required answer.

answer:

x = 64

step-by-step explanation:

so we know that, 180 + 26 + x + 90 = 360°

180 + 26 + x + 90 = 360°

296 + x = 360

x = 64°