Unit 8 7th grade math

Answer:

see explanation

Step-by-step explanation:

sum the parts of the ratio, 5 + 6 + 3 = 14 parts

Divide number of members by 14 to find the value of one part of the ratio.

560 ÷ 14 = 40 ← value of 1 part of the ratio

(i)

number of women = 6 × 40 = 240

(ii)

number of children = 3 × 40 = 120

Answer: [tex]\frac{x}{50} > 8[/tex]

Step-by-step explanation:

more than =    >  not ≥

Answer:

10

Step-by-step explanation:

We use pythagorean theorem:

a^2 + b^2 = c^2

8^2 + 6^2 = c^2

[tex]\sqrt{36 + 64} = \sqrt{100} = 10[/tex]

Answer:

Number of special bagel sandwiches = 37

Step-by-step explanation:

Let [tex]x,y[/tex] denote number of special bagel sandwiches and plain bagels respectively.

The bagel shop sold 100 items.

[tex]x+y=100\\y=100-x[/tex]

Also, The bagel shop made $385.

[tex]7x+2y=385[/tex]

Put [tex]y=100-x[/tex] in [tex]7x+2y=385[/tex]

[tex]7x+2(100-x)=385\\7x+200-2x=385\\5x=385-200\\5x=185\\x=\frac{185}{5}\\x=37[/tex]

So,

Number of special bagel sandwiches = 37

Answer:

order pair (2,1) is the solution to the inequality.

Answer:

C

Step-by-step explanation:

consistently goes down by 3.2 for the y value

Answer:

Linear function

Step-by-step explanation:

Took da test ;)

Answer:

A) 15x > 45

Step-by-step explanation:

Let X represent an hour. His wage will be 15 times that, so you have:

15x

He needs to earn more than 45 a day, so the inequality needs to be >45

Only answer that satisfies these conditions is A:

A) 15x > 45

Answer:     A.

Step-by-step explanation:

Id say its option 3.

Answer:

y = 2

Step-by-step explanation:

Given

[tex]\sqrt[3]{3y+2}[/tex] + 4 = 6 ( subtract 4 from both sides )

[tex]\sqrt[3]{3y+2}[/tex] = 2 ( cube both sides )

3y + 2 = 2³ = 8 ( subtract 2 from both sides )

3y = 6 ( divide both sides by 3 )

y = 2

Answer:

its b

Step-by-step explanation:

Well the easy way to find this is to just solve the first one. the equation is

x-y>5 so you plug in the coordinate and you end up with 7-2>5 which is false. So any answer with option one is out and b is the only one that fits that description.

Answer:

The base and height of three parallelograms with the same area as the 12 square inches rectangle are

1) First parallelogram;

Base length of parallelogram = 4 units

Height of parallelogram, = 3 units

2) Second parallelogram

Base length of parallelogram = 6 units

Height of parallelogram, = 2 units

3) Third parallelogram

Base length of parallelogram = 5 units

Height of parallelogram, = 2.4 units

Step-by-step explanation:

The vertices of the rectangle are; (0, 0), (4, 0), (4, 3), and (0, 3)

Let ABCD represent the vertices of the rectangle such that we have;

A(0, 0), B(4, 0), C(4, 3), and D(0, 3)

The area of the rectangle, A = The length of AB × The length of CB

The length of AB = √((4 - 0)² + (0 - 0)²) = 4

The length of CB = √((4 - 4)² + (3 - 0)²) = 3

∴ The area of the rectangle, A = 4 × 3 = 12 square units

The area of a parallelogram = Base length × Height

The base and height of three parallelograms with the same area as the 12 square inches rectangle are;

1) Base length of parallelogram = 4 units

Height of parallelogram, = 3 units

The area of the parallelogram, A = Base × Height;

∴ A = 4 units × 3 units = 12 units²

2) Base length of parallelogram = 6 units

Height of parallelogram, = 2 units

The area of the parallelogram, A = Base × Height;

∴ A = 6 units × 2 units = 12 units²

3) Base length of parallelogram = 5 units

Height of parallelogram, = 2.4 units

The area of the parallelogram, A = Base × Height;

∴ A = 5 units × 2.5 units = 12 units².

Answer:

A = 140

Step-by-step explanation:

Area of a triangle:

A = 1/2bh

Given:

b = 20

h = 14

Work:

A = 1/2bh

A = 1/2(20)(14)

A = 10(14)

A = 140

Answer: They are related by the AAS postulate and they can be proven congruent.

Step-by-step explanation: You can see that one of the lines on each of the triangle has that little tick which means those lines are congruent. You can also see that for two of the angles one of them has one arc and the other has two arcs for BOTH triangles which makes those two angles congruent. Two angles and one side congruent makes the triangles congruent by the AAS postulate.

I hope I helped! :)

1824 drove a car

2256 take a bus

672 ride the subway

48 ride a bicycle

Answer:

67.68

68 rounded

Step-by-step explanation:

80-12.99=67.01

67.01 divided by 0.99=67.68 repeating

Answer:

M=1.05n-0.172

Step-by-step explanation:

Answer:

it should be D/120

Step-by-step explanation:

An example of the box is:

5 the width

3 the length

1 the height.

That would be 5 x 3 x 1.

To double them, you must multiply each number by 2:

5 x 2 = 10

3 x 2 = 6

1 x 2 = 2.

Now the equation is 10 x 6 x 2.

First multiply 10 x 6 (60).

Then 60 x 2 (120).

120 is the answer

Answer:-3x-21

Step-by-step explanation: use the distributive property

Answer:

=−3x−21

Step-by-step explanation:

−3(x+7)

=(−3)(x+7)

=(−3)(x)+(−3)(7)

=3x-21

Answer:

The answers from left side on

X=60

X=15

X=21

Step-by-step explanation:

Good luck ^_^

Answer:

∠C = 28°     (as you have done)

AB = 4.7

BC = 8.8

Step-by-step explanation:

cos 62° = AB/10

0.4695 = AB/10

AB = 10(0.4695) = 4.69

sin 62° = BC/10

0.8829 = BC/10

BC = 10(0.8829) = 8.83

Answer:

q= 49.5

Step-by-step explanation:

[tex] \frac{33}{q} = \frac{8}{12} [/tex]

Cross multiply:

8q= 33(12)

8q= 396

Divide by 8 on both sides:

q= 396 ÷8

q= 49.5

Answer:

true

Step-by-step explanation:

Answer:

No, the 10% condition is not met is the answer.

1,000/5,832 is 0.1714, or ~17%, which is more than 10% of the population.

No, the 10% condition is not met.

Ratio:

'Ratio is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another.'

Proportion:

'A proportion is an equation in which two ratios are set equal to each other.'

According to the given problem,

Total number of people in the town = 5832

Number of people to be surveyed = 1000

Ratio of number of people chosen to the total population = [tex]\frac{1000}{5832}[/tex]

                                                                                                 = 0.17

Therefore percentage of people to be surveyed = 0.17 × 100

                                                                         = 17%, which is more than 10%

Hence, we can conclude that the 10% condition is not met.

Learn more about Ratio and Proportion here:

https://brainly.in/question/30210407

#SPJ2

Answer:

Square root of 29.

Step-by-step explanation:

Distance = sqrt(2^2 + (-5)^2)

= sqrt 29.

Answer:

112

Step-by-step explanation:

A = (B1 + B2)(8)/2

A = 28(8)/2

A = 112

112 ur welcome <3

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