A student conducted a survey of the 750 seventh graders in her school. She found that 2 out of 5 students in the seventh grade class preferred vanilla cupcakes over chocolate. Based on this information, how many students in the seventh grade class preferred vanilla cupcakes over chocolate?

Answer:

(7/4)(2)(2)=7

Step-by-step explanation:

Answer:

z = 1.75xy

Step-by-step explanation:

Given z varies jointly as x and y then the equation relating them is

z = kxy ← k is the constant of variation

To find k use the condition z = 7 when x = 2 and y = 2, then

7 = k × 2 × 2 = 4k ( divide both sides by 4 )

1.75 = k

z = 1.75xy ← equation of variation

Answer:

x = 39

Step-by-step explanation:

∠JKL and ∠LKM are complementary angles meaning they have a sum of 90° Knowing this, we can create an equation to solve for x.

2x - 14 + 26 = 90

2x + 12 = 90

2x = 78

x = 39

Answer:

your answer is

Factors: (x-1)(x+2)(x+2)

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Answer:

A) 8

Step-by-step explanation:

The remainder when f(x) = x⁴ + 0x³ - 5x² - 6x - 10 is divided by x - 3 is 18.

Factor theorem states that if x - a is a factor of f(x) then f(a) = 0.If f(a) ≠ 0 then x - a is not a factor of f(x).

To determine the remainder of f(x) = x⁴ + 0x³ - 5x² - 6x - 10 when divided by x - 3 which is x - 3 = 0 or x = 3 we have to replace the value of x in f(x).

∴ f(x) = x⁴ + 0x³ - 5x² - 6x - 10.

f(3) =  (3)⁴ + 0(3)³ - 5(3)² - 6(3) - 10.

f(3) = 81 + 0 - 45 - 18.

f(3) = 18.

So, the remainder is 18.

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Answer:

The place value is Hundrenths.

Step-by-step explanation:

After teh decmal it goes . Tenths,Hundreths,thosands.. and so o n. The 4 is in the Hundreths place.

Answer:

( x + 6)² + ( y – 4)² = 36

Step-by-step explanation:

Edge21

Answer:

( x + 6)² + ( y – 4)² = 36

Step-by-step explanation:

Answer:

No because the sign does not have a line under it. The line means equal too

Step-by-step explanation:

Answer:

The wave's wavelength λ = 5 m

Step-by-step explanation:

Explanation:-

Given that the frequency  f = 30HZ

Given that the velocity

                         'v ' = 150m/s

The wave's wavelength

                    [tex]= \frac{velocity}{frequency} = \frac{150}{30} = 5[/tex]

The wave's wavelength λ = 5 m

Answer:

4x4x8x2 = 256

Step-by-step explanation:

Answer:

its 256

Step-by-step explanation:

4 x 4 x 8 x 2 = 256

Answer:

A and c

Step-by-step explanation:

If im correct A and C is the answer because A and C represent the vertical angles :)

Answer is in the photo. Click on the photo.

Answer:

y = 4 ; x = 4√2

Step-by-step explanation:

This is a 45° 45° 90° triangle meaning the legs will equal each other and the hypotenuse will be equal to the length of the legs times √2.

Answer:

Sunrise $450 Bright Eyes $475

Step-by-step explanation:

Let x= number of days

Sunrise:

(25 + 85x)= total cost

(25+85(5))= $450

Bright Eyes:

(95x)= total cost

(95(5))= $475

The Bright eyes hotel would be more cost efficient than the Sunrise hotel.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Sunrise, a bed-and-breakfast hotel, that charges a one-time deposit of $25 plus $85 per night. Another bed-and-breakfast hotel called Bright Eyes charges a flat rate of $95 per night.

The total cost for 5 nights at Sunrise hotel would be -

C(s) = 25 + 85 x 5 = $450

The total cost for 5 nights at Bright eyes hotel would be -

C(b) = 95 x 5 = $475

Therefore, the Bright eyes hotel would be more cost efficient than the Sunrise hotel.

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Answer:

m = 5 n = [tex]\frac{5\sqrt{3} }{2}[/tex]

Step-by-step explanation:

5/2x2=5

5/3xsqrt3=5sqrt3/2

Answer:

a)2

b)4

c)6

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

perpendicular (p) = 4

hypotenuse (h) = 2√5

base (b) = ?

We know by using Pythagoras theorem

b = √(h² - p²)

= √ (2√5)² - 4²

= √ 16

= 4

Answer:

8

Step-by-step explanation:

Answer:

The Y-intercept is 8

Step-by-step explanation:

If you look at where Y starts at then that would be you intercept.

Answer:

24 m³

Step-by-step explanation:

Since you didn't state the dimensions of the rectangular prism, and you didn't add a picture to show it's dimensions, then permit me to assume dimensions for the question

Assuming it's breadth is 2 m.

Assuming it's length is 4 m.

Assuming it's height is 3 m

Then the volume of a rectangular prism is given as l * b * h. Which means we multiply all the sides by one another. From my assumption of values, we have that 2 * 3 * 4, and this gives us 24 m³

24 m

Now what you'd do is substitute your values for my assumed values.. Cheers

Answer:

lo siento, no lo sé

Estoy respondiendo por puntos

Step-by-step explanation:

lo siento por hacerte perder el tiempo

5(f-1)(f+13).

mulitpy it and you will get 5f2 + 60f - 65.

Answer:

two unequal, complex roots

Step-by-step explanation:

Rewrite this quadratic as a^2 + 3a - 7 = 0.  The coefficients are {1, 3, -7}.  The discriminant is b^2 - 4ac = 3^2 - 4(1)(-7), or 9 - 28, or -19.

Because the discriminant is negative, we know immediately that this quadratic has two unequal, complex roots.

Answer:

21.23 yard

Step-by-step explanation:

we need to do pyathagoras theoram.

Answer:

18x + 91

Step-by-step explanation:

Answer:

I believe it will be 118

Step-by-step explanation:

Hope this helps.

Answer:

The answer will be 7a⁴-7a³=7a. (4-3=1) using exponents property

Answer:

3x^2=81

x²=81/3

x=√27=3√3

Step-by-step explanation:

3x²=81

With this we have to square root both sides to find the value of x.

[tex] \sqrt{3 {x}^{2} } = \sqrt{81} [/tex]

So the x will cancel the square root sign so;

[tex]3x = \sqrt{81} [/tex]

And now we have to find the square root of 81 which is 9, because when we multiply 9 by 9 we are going to be get 81 so the square of 9 is 81 and the square root of 81 is 9

So;

[tex]3x = 9[/tex]

And then we divide both sides by 3 to find the value of x ;

[tex] \frac{3x}{3} = \frac{9}{3} [/tex]

[tex]x = \frac{9}{3} [/tex]

[tex]x = 3[/tex]

Answer:

Four coordinate pairs that could serve as the other endpoint of the given line segment are given by: (9,-12), (-1,-12), (4,-7), (4,-17).

Step-by-step explanation:

One endpoint of (4,-12), length of 5 units.

Four possible pairs:

Add 5 to x, keep y: (4+5,-12) = (9,-12).

Subtract 5 from x, keep y: (4-5,-12) = (-1,-12).

Keep x, add 5 to y: (4,-12+5) = (4,-7)

Keep x, subtract 5 from y: (4,-12-5) = (4,-17)

Four coordinate pairs that could serve as the other endpoint of the given line segment are given by: (9,-12), (-1,-12), (4,-7), (4,-17).