The relationship between the number of pounds (lb) of cereal and the price in dollars is shown in the graph. What is the unit price of cereal? ​

Answer:

girls: 16

boys: 40

Step-by-step explanation:

girls : boys

2 : 5

let the total number of people be (2+5)x.

2x + 5x = 56

7x = 56

x = 8

therefore, no. of girls = 2 x 8 = 16

no. of boys = 5 x 8 = 40

This is a question on ratio and proportions + forming and solving equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

11.7

Step-by-step explanation:

(−7.8)(−1.5)

Hope ths helps

Answer:

Exponent tells the number of times the base is used as a(n) power.

50 is a(n) multiple of 10 because 5 × 10 = 50

Step-by-step explanation:

Easy and please choose mine was the most helpful. I want to get Brainliest.

Answer:

(n)_exponent_tells the number of times the base is used as a(n)_power_.

50 is a(n)__multiple_of 10 because 5 × 10 = 50

Step-by-step explanation:

exponent: This is the power to which a number is raised or the number of times it is multiplied by itself.

multiple: A Multiple of a number is that number times any whole number.

power: The number to which a base is raised is called the power. This tells you how many times to multiply the base together.

Answer:

The scale would be 200

Step-by-step explanation:

If your giraffe is 3 cm and the scale drawing of the giraffe is 6m, in one meter, there are 100 cm, and 6/2=3 you multiply 2 by the 100 cm in the meter which gives you 200. You could also say 6m divided by 3cm which would also give you 200 or 600/300=200.

Answer:

x=6

Step-by-step explanation:

Answer:

The last one

Step-by-step explanation:

Answer:6 should be right

Step-by-step explanation: since the absolute value of -6 is 6, it satisfies the equation

|-6|=6

6 is less than or EQUAL to 6

Answer:

NONE

Step-by-step explanation:

You have to do a² + b² = c²

To do it you have to put the three numbers from least to greatest for it to work. They already are so that's good.

15² + 23² = 37² (solve)

225 + 529 = 1369

754 ≠ 1369

6² + 8² = 14² (solve)

36 + 64 = 196

100 ≠ 196

7² + 22² = 30²

49 + 484 = 900

433 ≠ 900

7² + 21² = 30²

49 + 441 =  900

490 ≠ 900

I don't know what happened, but none of these would work.

I even used a pythagorean theorem calculator to check my work and none of them match.

Hope this helps!

Answer:

a. 9 sides

b. 18 sides

c. 24 sides

d. 30 sides

Step-by-step explanation:

We can use the equation 180(n-2), which n is the number of sides to find the answer.

a. 180(n-2)=1260

n-2=7

n=9

b. 180(n-2)=2880

n-2=16

n=18

c. 180(n-2)=3960

n-2=22

n=24

d. 180(n-2)=5040

n-2=28

n=30

Answer:

a) 9 sides

b) 18 sides

c) 24 sides

d) 30 sides

Step-by-step explanation:

sum of interior angles = (n - 2) * 180

where n is the number of sides

a) 1260

(n - 2) * 180 = 1260

(n - 2) = 1260/180

(n - 2) = 7

n = 7 + 2

n =  9

b) 2880

(n - 2) * 180 = 2880

(n - 2) = 2880/180

(n - 2) = 16

n = 16 + 2

n =  18

c) 3960

(n - 2) * 180 = 3960

(n - 2) = 3960/180

(n - 2) = 22

n = 22 + 2

n = 24

d) 5040

(n - 2) * 180 = 5040

(n - 2) = 5040/180

(n - 2) = 28

n = 28 + 2

n = 30

9514 1404 393

Answer:

  12.0 cm

Step-by-step explanation:

The Pythagorean theorem applies:

  (12 cm)² +b² = (17 cm)²

  b² = (289 -144) cm² = 145 cm²

  b = √145 cm ≈ 12.04 cm

  b ≈ 12.0 cm . . . . rounded to 1 decimal place

Answer:  (b) 48 cm

==========================================================

Explanation:

Divide the perimeter of the square over 4 to get the side length s.

s = P/4

s = 48/4

s = 12

The side length of the square is 12 cm. This leads to an area of...

A = s^2

A = 12^2

A = 144

The area of the square is 144 square cm.

The rectangle is 4 cm^2 less than the square's area, so we know the rectangle has area 144-4 = 140 cm^2.

If the length of the rectangle is 14 cm, then the width must be

W = A/L

W = 140/14

W = 10

This is a 14 cm by 10 cm rectangle (note how 14*10 = 140)

The last step is to compute the perimeter of the rectangle

P = 2(L+W)

P = 2(14+10)

P = 2*24

P = 48

You can use the formula P = 2L+2W, but it's effectively the same thing.

The perimeter of the rectangle is 48 cm.

Answer:

a) [tex]3c^2-11c+12[/tex]

b) 3 terms in simplified expression

c) 3 is leading coefficient

d) 2 is the degree of simplified expression

Step-by-step explanation:

We need to perform subtraction of [tex](5c^2 - 3c + 9) - (2c^2+ 8c - 3)[/tex]

a) What did you need to distribute to the second polynomial to rewrite?

We need to multiply - sign with the terms inside the bracket.

Perform subtraction. Then, answer:

[tex](5c^2 - 3c + 9) - (2c^2+ 8c - 3)\\=5c^2 - 3c + 9 - 2c^2- 8c +3\\Combining \ like \ terms\\=5c^2-2c^2-3c-8c+9+3\\=3c^2-11c+12[/tex]

b) How many terms in the simplified expression?

There are 3 terms in the simplified solution [tex]3c^2-11c+12[/tex]

c) What is the leading coefficient of the simplified expression?

The leading coefficient is the coefficient with highest degree. The highest degree is 2 so, leading coefficient is 3

d) What is the degree of the simplified expression?

The highest degree is considered as the degree of simplified expression. In our case [tex]3c^2-11c+12[/tex] the highest degree is 2

Answer:

The answer and work is both located in the screenshot provided!

Step-by-step explanation:

Hoped this helped!

Answer: A

Step-by-step explanation: The reason is because a less than or equal symbol makes the solutions all below the points.

Answer:

g(4) = 5, fg(2) = 7/-3, gˉ¹(7)​ = 2

Step-by-step explanation:

i.) g(4)= 2(4) -3

g(4) = 8 -3

g(4) = 5

ii.) fg(2)

g(2) = 2(2)-3

g(2)= 4-3

g(2) = 1

fg(2) = 2(1)+5/1-4

fg(2) = 7/-3

iii.) g(x) = 2x -3

g(y) = 2y -3

x = 2y -3

x-3 = 2y

y= (x-3)/2

gˉ¹(7)​ = ((7)-3)/2

gˉ¹(7)​ = 4/2

gˉ¹(7)​ = 2

Answer:

The asnwer is the first one

Step-by-step explanation:

thx for the poins

The value of the fraction is 6/5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be = A

Now , the equation is expressed as

A = ( 2/15 ) x 9

On simplifying the equation , we get

A = 18/15

Dividing by 3 on the numerator and denominator , we get

A = 6/5

Therefore , the fraction in simplest form is 6/5

Hence , The value of the fraction is 6/5

To learn more about equations click :

https://brainly.com/question/10413253

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Answer:

Step-by-step explanation:

0.072=w-3.6w

w= -0.0276923

Answer:

w = 3.672

Step-by-step explanation:

0.072 = w - 3.6

0.072 + 3.6 = w

3.672 = w

Answer:

7/15

Step-by-step explanation:

Fraction of the songs being country / rock songs: 1/6 + 3/10 = 7/15

Answer:

9.67 inches altogether

Step-by-step explanation:

2.91 + 6.76 = 9.67

2.91

+6.76

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

 9.67

this is the correctanswer

Answer:

w=2.5

Step-by-step explanation:

this is because to find the area of a triangle you have to multiply base times height divided by 2 therefore if you want the rectangles have the same area of the triangle the with must be 2.5 this way you will get the same area as the triangle

proof

5x6=30/2=15 area of the triangle

2.5x6=15

as you can see the triangle and the rectangle have the same area

therefore the width of the rectangle is 2.5

Step-by-step explanation:

Length of the base = y

Length of a side = 3y + 2

Length of the third side= 3y + 2 (Isosceles triangle)

Perimeter = Sum of all sides

46 = y + 3y + 2 + 3y + 2

46 = y + 2(3y +2)

46 = y + 6y + 4

46 = 7y + 4

46 - 4 = 7y

42 = 7y

42/7 = y

6 = y

Therefore, the length of the base is 6

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[tex]( 3 {x}^{2} - 13x - 10 ) \div (x - 5) = \\ [/tex]

[tex] \frac{3 {x}^{2} - 13x - 10 }{x - 5} = \\ [/tex]

[tex] \frac{(x - 5)(3x + 2)}{(x - 5)} = \\ [/tex]

[tex]3x + 2[/tex]

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Answer:

Step-by-step explanation:

The y-intercept is 3.

I know this because when x is 0 that is where the y-intercept is :)

Answer:

8, 4, 0, -4, - 8, .........

Step-by-step explanation:

The n the term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and a₁₅ = - 48, then

8 + 14d = - 48 ( subtract 8 from both sides )

14d = - 56 ( divide both sides by 14 )

d = - 4

To obtain the progression subtract 4 from each term, that is

8, 4, 0, - 4, - 8, ......

Answer:

8, 4, 0, -4, -8, -12, -16, -20,...

Step-by-step explanation:

Arithmetic Progressions

The general term of an arithmetic progression (A.P.) is:

[tex]a_n=a_1+(n-1).r[/tex]

Where:

a1  = First term

an = Term number n

n   = Number of the term

r   = Common difference

We are given: a1=8, and a15=-48, n=15. Calculate r:

[tex]\displaystyle r=\frac{a_n-a_1}{n-1}[/tex]

[tex]\displaystyle r=\frac{-48-8}{15-1}[/tex]

[tex]\displaystyle r=\frac{-56}{14}[/tex]

r = -4

We can get the terms of the progression by subtracting 4 to the previous term.

Thus, the first terms of the progression are:

8, 4, 0, -4, -8, -12, -16, -20,...