the admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, $5,050 is collected. If 1,000 adults attended the fair, write and solve a linear equation to find the number of children that attended.

IN STANDARD FORM

Answer: 24

Step-by-step explanation:

32/16=2 so it cost 2 per guest.

48/2= 24 guests

Step-by-step explanation:

11.

tan 30 = perpendicular / base = x/ 7

1/√3 = x/7

X= 7/√3

2.

cos 30 = 7/y

√3/2 = 7/y

y = 7×2/ √3

y= 14/√3

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Answer:

x = - 18

Step-by-step explanation:

Let certain number = x

The difference between half of a certain number and seven

x/2 - 7

is the same as

=

with adding two to that number

x + 2

Find the number

x/2 - 7 = x + 2

x - x/2 = - 7 - 2

( 2x - x ) / 2 = -9

2x - x = -18

x = - 18

Answer:

It's graph is symmetric to the origin. Cos (x) on the other hand is an even function cos (-x) = cos (x), and its graph is symmetric to the y-axis. Notice also that the graphs are exactly the same shape but horizontally shifted /2 units. They are related by: sin (x) = cos (x - /2) and cos (x) = sin (x + /2).

Step-by-step explanation:

Answer:

The answer is 8(a³ - 8b⁶)

Step-by-step explanation:

You have take out the common terms :

8a³ - 64b⁶

= 8(a³ - 8b⁶)

P.S.

a and b cannot be factorized because they are different terms.

Answer:

dive by 5 take 20 if 4×5 give u 20 the 20/4 will give you 5

Answer:

p=19

Step-by-step explanation:

since the instructions say that ([tex]x^{13}[/tex])([tex]x^{6}[/tex]) is equivalent to [tex]x^{p}[/tex], we can make the equation:

([tex]x^{13}[/tex])([tex]x^{6}[/tex])=[tex]x^{p}[/tex]

now, apply the laws of exponents; [tex]a^{m} * a^{n} =a^{m+n}[/tex]

in that case, since we're multiplying x to the 13th power by x to the 6th, the result is [tex]x^{13+6}[/tex], which is [tex]x^{19}[/tex]

the equation now:

[tex]x^{19}[/tex]=[tex]x^{p}[/tex]

since the exponents are at the same base, we can solve the equation

19=p

so p is 19

hope this helps :)

Answer:

x=4

Step-by-step explanation:

Answer:

[tex]x_{1} = \frac{7 - \sqrt{51} }{4} , x_{2} = \frac{7 + \sqrt{51} }{4} [/tex]

Step-by-step explanation:

attachment.

Answer:

z = 106

y = 20

Step-by-step explanation:

Answer:

a) 25%

b) 29 - 7 = 22

c) 21

d) 26 - 15 = 11

e) 75%

Step-by-step explanation:

Answer:

c. 84

Step-by-step explanation:

120 times .70 = 84

Answer:

84 and 140

Step-by-step explanation:

Jack chooses two numbers between 50 and 150

The two numbers have a Lowest Common Multiple (LCM) of 420

Factors of 420 between 50 to 150

= 60, 70, 84, 105, 140

We are also told that:

They have a Highest Common Factor (HCF) of 28

Hence, we find out of the factors above, which numbers can be divided by 28 without having any remainder.

60/28 = 2.1428571429

70/28 = 2.5

84/28 = 3

105/28 = 3.75

140/28 = 5

Therefore, the two numbers are

84 and 140

Answer:

Its correct answer is sin65°/125.

Answer:

slope is -1, and y intercept is (0,7)

Step-by-step explanation:

Answer:

8y=21x

Step-by-step explanation:

i'm not sure how to draw this out in a picture but the equation is above.

like the question states, Cassidy paints 8 faces in every 21 minutes. the amount of time she spends painting one face would be figured out by dividing 21 by 8 giving you 2.625minutes so i would just say around 3 minutes. so to draw a picture maybe just draw 8 faces and then circle them and say 21 minutes and then put x (to show the time she spent painting each face) under the faces in the picture and then show your work solving this.

in order to find out the ratio of time spent drawing one person's face we have to take the information given and divide the total of 21 minute span by the 8 different faces she painted in order to find how long she spends on 1 face.

hope this helps, if it did please make sure to leave a like, rate, and give me the brainliest if possible!

thanks have a great day!

Answer:

58.28 Sq in

Step-by-step explanation:

Area of the composite figure

=Area of trapezoid + Area of semicircle

[tex] = \frac{1}{2} (15 + 11) \times 4 +\frac{1}{2} \times 3.14\times 2^2 \\ \\ = 26 \times 2+6.28 \\ \\ = 52+6.28=58.28 \: {in}^{2} [/tex]

Answer: Y = 7/8x+ 2.25

Step-by-step explanation:

Answer:

A)

[tex]\sqrt{290}\approx 17.0\text{ units}[/tex]

B)

[tex]\sqrt{53}\approx7.3\text{ units}[/tex]

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Problem 1)

We have the two points (-4, 5) and (7, 18).

Let (-4, 5) be (x₁, y₁) and let (7, 18) be (x₂, y₂).

Substitute:

[tex]d=\sqrt{(7-(-4))^2+(18-5)^2}[/tex]

Evaluate:

[tex]\begin{aligned}d&=\sqrt{(11)^2+(13)^2}\\&=\sqrt{121+169}\\&=\sqrt{290}\approx17.0\end{aligned}[/tex]

Problem 2)

We have the two points (-2, -3) and (-4, 4).

Similarly, we will let (-2, -3) be (x₁, y₁) and (-4, 4) be (x₂, y₂).

Substitute:

[tex]d=\sqrt{(-4-(-2))^2+(4-(-3))^2[/tex]

Evaluate:

[tex]\begin{aligned}d&=\sqrt{(-2)^2+(7)^2}\\&=\sqrt{4+49}\\&=\sqrt{53}\approx7.3\end{aligned}[/tex]

Answer:

scalene triangle

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

plug the coefficients in the equation, so

-2-2(-2)(-5)+56

Distribute the -2(-2)(-5), so it equals -20

so the equation is -2-20+56

add -20+56, so -2+36

-2+36=34

34 is your answer

Answer:

the degree

Step-by-step explanation:

Answer:

$72

Step-by-step explanation:

100 - 10% = 90

90 - 20% = 72

Answer: x= 14

Step-by-step explanation: look at transversal ED. Angle E and angle D are alternate interior angles of this transversal. Alternate interior angles are equal. Now we need to find angle measure of D to solve. The triangle angle sum theorem states that all interior angles of a triangle sum to 180 degrees. 50+ 48 + D =180.

Measure of angle D is 82. Now that we have the two alternate interior angles, we set them equal to each other to solve.

6x-2= 82. Add 2 to both sides. 6x = 84. Divide both sides by 6. X =14