Russel randomly surveys seventh graders in his school and finds that 6 of 30 attend summer camp. if there are 200 seventh graders in his school, about how many are expected to attend summer camp.

Answer: [tex]17^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle A=(x+8)^{\circ}[/tex]

[tex]\angle B=(8x+1)^{\circ}[/tex]

Angle A and B are complementary i.e. sum of the two must be [tex]90^{\circ}[/tex]

[tex]\Rightarrow \angle A+\angle B=90^{\circ}\\\Rightarrow x+8+8x+1=90^{\circ}\\\Rightarrow 9x=90-9=81^{\circ}\\\Rightarrow x=9^{\circ}[/tex]

[tex]\therefore \angle A=x+8^{\circ}=9+8\\\Rightarrow \angle A=17^{\circ}[/tex]

Answer:

x=4, y=6. (4, 6).

Step-by-step explanation:

11x-8y=-4

-4x+3y=2

----------------

4(11x-8y)=4(-4)

11(-4x+3y)=11(2)

-------------------------

44x-32y=-16

-44x+33y=22

-------------------

y=6

11x-8(6)=-4

11x-48=-4

11x=-4+48

11x=44

x=44/11

x=4

Answer:

I believe it is 67 degrees

Step-by-step explanation:

Since all the angles in a triangle add up to 180 degrees, you can subtract 78 and 35 from 180 to get 67.

Answer:

the anwser is 0.1575

Step-by-step explanation:

+_(!_+_7$!$!_+_+$($!_;"+_+_!

Answer:

Sam had 80 dollars in his pocket. He was feeling generous, so he handed out equal amount of money to each of his friends. After he handed out the money, he had 53 dollars left. How much did Sam give out to each one of his friends?

Step-by-step explanation:

In this real-world problem, the money he had at the beginning resembles the 80 in the equation. The -3x is the money he gives out to each of his friends. The 53 on the right-hand side is the money he has left after he gives the money away.

Answer:

Step-by-step explanation:

A line passing through point (x₁, y₁) with the slope of m in point-slope form:

 y - y₁ = m(x - x₁)

m = ¹/₃

(-6, 9)      x₁ = -6,  y₁ = 9

So:

y - 9 = ¹/₃(x - (-6))

y - 9 = ¹/₃(x + 6)     ←    point-slope form

y - 9 = ¹/₃x + 2        {add 9 to both sides}

y = ¹/₃x + 11        ←  slope intercept form

Answer: Los dos números son 8 y 5

Explanation:

Considere los dos números como

x

and

y

A partir de los datos dados, escribimos:

x

−

y

=

3

x

+

y

=

13

A partir de la primera ecuación, determinamos un valor para

x

.

x

−

y

=

3

agregar

y

a ambos lados.

x

=

y

+

3

En la segunda ecuación, sustituya

x

with

(

y

+

3

)

.

x

+

y

=

13

(

y

+

3

)

+

y

=

13

Abra los corchetes y simplifique.

y

+

3

+

y

=

13

2

y

+

3

=

13

Sustraer

3

de cada lado.

2

y

=

10

Divide ambos lados por

2

.

y

=

5

En la primera ecuación, sustituya

y

con

5

.

x

−

y

=

3

x

−

5

=

3

Agregar

5

a cada lado.

x

=

8

Step-by-step explanation:

Answer:

4,3 8,2

Step-by-step explanation:

Answer: 10.2

Step-by-step explanation:

Use the Pythagorean Thoerem

[tex]b=\sqrt{c^2-a^2}\\b=\sqrt{15^-11^2}\\b=\sqrt{225-121[/tex]

[tex]b=\sqrt{104}\\\\b=10.2[/tex]

Answer:

x = 10.2

Step-by-step explanation:

the exact solution is 10.19804

Answer:

r = -0.13475

Step-by-step explanation:

Here, we want to select a value for a weak negative correlation

When a correlation is week, its value is usually less than -0.5

In this case, we have our correct answer as r = -0.13475

Answer:

my answer is no because for a right angle triangle the sum of the squares of the other two sides is equal to the square of the longest side

3²+7²=9+49=58

(√57)²=57

57≠58 it's not a right angle triangle

assume the sides to be a,b and c

a=3 b=7 c=√57

by Pythagoras theorem

a²+b²=c²

3²+7²=√57²

but 58≠57

hope it's clear

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3k - 12 = 6}[/tex]

[tex]\large\text{ADD 12 to BOTH SIDES}[/tex]

[tex]\textsf{3k - 12 + 12 = 6 + 12}[/tex]

[tex]\large\text{Cancel out: -12 + 12 because it gives you 0}[/tex]

[tex]\large\text{Keep: 6 + 12 because it helps you solve for k}[/tex]

[tex]\mathsf{6 + 12 = 18}[/tex]

[tex]\large\text{New equation: 3k = 18}[/tex]

[tex]\mathsf{3k = 18}[/tex]

[tex]\large\text{DIVIDE 3 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{3k}{3} = \dfrac{18}{3}}[/tex]

[tex]\large\text{Cancel out: }\mathsf{\dfrac{3}{3}}\large\text{ because that gives you 1 }[/tex]

[tex]\large\text{Keep: }\mathsf{\dfrac{18}{3}}\large\text{ because that helps you solve for k}[/tex]

[tex]\large\text{New equation}\mathsf{\dfrac{18}{3}=k}[/tex]

[tex]\mathsf{\dfrac{18}{3}=18\div3\rightarrow\bf 6}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge\bf k = 6}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

A

Step-by-step explanation:

For every input there can only be ONE output

Answer:

(x, y) ⇒ (x - 5, y - 3)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point up, down, left or right. If a point A(x, y) is translated a units left and b units down, the new point is at A(x - a, y - b), while If a point A(x, y) is translated a units right and b units up, the new point is at A(x + a, y + b).

Given that triangle S T U is shifted 3 units down and 5 units to the left to form triangle S prime T prime U prime. The rule that describes this translation is given as:

(x, y) ⇒ (x - 5, y - 3)

Answer:

180

Step-by-step explanation:

Answer:

f^−1(x)=2^x/4

Step-by-step explanation:

The inverse of the function will be;

⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]

A relation between a set of inputs having one output each is called a function.

Given that;

The function is,

⇒ y = log₂ (4x)

Now,

Since, The function is,

⇒ y = log₂ (4x)

Find the inverse of the function as;

⇒ y = log₂ (4x)

⇒ [tex]2^{y} = 4x[/tex]

⇒ [tex]\frac{2^{y}}{4} = x[/tex]

⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]

Thus, The inverse of the function y = log₂ (4x) is,

⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]

Learn more about the function visit:

https://brainly.com/question/28361556

#SPJ2

Answer:

They are still congruent even after being rotated they still will remain the same shape.

Step-by-step explanation:

Answer:All the sides of each shape must be identical. so yes if it is

Step-by-step explanation:

Answer:

Step-by-step explanation:

c^2=a^2+b^2-2abcosC

cosC= (a^2+b^2-c^2)/(2ab)

C=arccos[(a^2+b^2-c^2)/(2ab)]

C=arccos(90^2+55^2-50^2)/(2(90)55)

C=arccos(8625)/(9900)

C=29.4 degrees

Answer:

hello

The answer will be 5

Step-by-step explanation:

hope it helps

Answer:

56 degrees

Step-by-step explanation:

Hello there!

Remember the sum of the angles in a triangle is equal to 180

so to find the missing angle we subtract the given angles from 180

180 - 34 - 90 = 56

so we can conclude that the measure of the missing angle is 56 degrees

Note: the little square at the bottom left of the triangle indicates that the angle is a right angle. The measure of a right angle is 90 degrees so thats where the 90 came from

Answer:

hope it help you

Answer:

x=90

Step-by-step explanation:

So, since x-20 is the vertical angle directly near 70, we can say:

x-20=70.

if we solve x is 90.

HOPE IT HELPS!!!!!!!!!!!

Answer:

[tex]x^{2} -1[/tex]

Step-by-step explanation:

You will need to multiply and distribute out the equation.

[tex](x-1)(x+1)\\x^{2} - x + x -1\\x^{2} - 1[/tex]

Answer:

(1 2 ÷ 3) (2 1 ÷ 2) = x

Step-by-step explanation:

The equation is

Let us assume x be the amount of flour she will need in cups.

Now

1 2 ÷ 3 becomes 5 ÷ 3

2 1 ÷ 3 becomes 5 ÷ 2

Now multiply each number  

(5 ÷ 3)(5 ÷ 2) = x  

25 ÷ 6 = x

Hence, (1 2 ÷ 3) (2 1 ÷ 2) = x this would be the equation

Answer: 4x^2 + 6xy + 2y^2

Step-by-step explanation:

(2x + y)(2x + 2y) =

2x*2x + 2x*2y + y*2x + y^2y =

4x^2 + 4xy + 2xy + 2y^2 =

4x^2 + 6xy + 2y^2

Answer:

4x² + 6xy + 2y²

Step-by-step explanation:

Given

(2x + y)(2x + 2y)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(2x + 2y) + y(2x + 2y) ← distribute both parenthesis

= 4x² + 4xy + 2xy + 2y² ← collect like terms

= 4x² + 6xy + 2y²

Answer:

95%

Step-by-step explanation:

912÷960=0.95

Hope this helps.

Answer:

besti you didnt put the statement

Answer:

volume = 157 units³

Step-by-step explanation:

volume = 1/3πr²h

volume = 1/3(3.14)(5²)(6) = 157 units³

Answer:

∠RPQ = 53°

Step-by-step explanation:

∠SPR and ∠RPQ are complementary, meaning that they add up to 90°. So,

∠SPR + ∠RPQ = 90°

We know that ∠SPR = 37°, so

37° + ∠RPQ = 90°

∠RPQ = 90° - 37°

∠RPQ = 53°