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Varvara68 [4.7K]

3 years ago

9

7. A line in the Cartesian plane passes through the points (1, 3) and (5, 4). What is the slope of the line? A. 1/4 B. –4/1 C. 4

/1 D. –1/4

1 answer:

mojhsa [17]3 years ago

5 0

A

to calculate the slope m , use the ' gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (5, 4)

m = $\frac{4 - 3}{5 - 1}$ = $\frac{1}{4}$ → A

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Alice, Ben and Carol shared a sum of money they received. Alice received 1/5 of the money. The rest of the money was divided bet

Levart [38]

Answer:

$3

Step-by-step explanation:

The money shared by Ben and Carol was split ...

... Ben : Carol = 1 : 3

The difference of these ratio numbers is 2, and the difference in amount received is $6. Thus, each ratio unit must stand for $6/2 = $3.

... Ben received 1×$3 = $3

_____

<em>The Rest of the Story</em>

Carol received 3×$3 = $9. Together, Ben and Carol received $3 + 9 = $12, which is 4/5 of the total amount. Then the 1/5 of the total amount that Alice received is

... (1/5)×$12/(4/5) = (1/4)×$12 = $3.

The $15 of money was split ...

... Alice : Ben : Carol = $3 : $3 : $9

8 0

3 years ago

Drag the tiles to the correct boxes to complete the pairs. Match each word problem to its solution. Seven more than 3 times a nu

Luba_88 [7]

Answer: (A) The number is 14

(B) Lily is 16 years old

(C)The number is 35

(D) The wallet cost $20

Step-by-step explanation: (A) Let the number be a. Three times the number is equal to 3 times a, or 3a. Seven more than 3a equals 49, that means

7 + 3a = 49

Subtract 7 from both sides of the equation

3a = 42

Divide both sides of the equation by 3

a = 14

The number is 14

(B) Let Hillary's age be h and Lily's age be l, so if Hillary's age is 3 years greater than Lily's age, then we have

h = 3 + l

Then if Hillary's age is now given as 19, the equation becomes

19 = 3 + l

Subtract 3 from both sides of the equation

16 = l

Lily's age is 16

(C) Let the number be x, and so twice the number becomes 2 times x which is 2x. Twice the number decreased by 20 is 50, becomes

2x - 20 = 50

Add 20 to both sides of the equation

2x = 70

Divide both sides of the equation by 2

x = 35

The number is 35

(D) Let each handbag be represented by b and each wallet be represented by w. The cost of each handbag is 10 more than the wallet, so if the wallet cost w, then the handbag would cost w + 10. This can be expressed as

h = w + 10

If she spent a total of 60 for the 2 handbags, then each handbag would cost 60 ÷ 2 which equals 30 per handbag. Substituting for the known value we now have,

30 = w + 10

Subtract 10 from both sides of the equation

20 = w

The cost of a wallet is $20

8 0

3 years ago

Read 2 more answers

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kumpel [21]

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3 0

3 years ago

A researcher is curious about the average IQ of registered voters in the state of Florida. The entire group of registered voters

mel-nik [20]

Answer:

Population

Step-by-step explanation:

A population can be defined as the total number of living organisms living together in a particular place and sharing certain characteristics in common.

A sample survey is a statistical method used for the collection of data from a target population in order to draw an inference and reach a logical conclusion.

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

In this scenario, the entire group of registered voters in Florida is an example of a population.

4 0

3 years ago

Vlada [557]

Option 3: $2^{\frac{5}{6}}$ is the right answer

Step-by-step explanation:

Given expression is:

$(\sqrt{2})(\sqrt[3]{2} )$

In order to simplify the expression we have to convert the radicals in exponents

$2^{\frac{1}{2}} . 2^{\frac{1}{3}}$

As he base is same, the powers can be added

$=2^{\frac{3+2}{6}}\\=2^{\frac{5}{6}}$

Hence,

Option 3: $2^{\frac{5}{6}}$ is the right answer

Keywords: Exponents, radicals

Learn more about exponents at:

#LearnwithBrainly

6 0

3 years ago