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3 years ago

Which equation represents the line with a slope of 5/6 that passes through the point (−2,1)?

Mathematics

2 answers:

soldi70 [24.7K]3 years ago

5 0

Answer:

Slope m=

10-2

7-3

m = 2

Step-by-step explanation:

iragen [17]3 years ago

3 0

Answer:

y = 5/6x + 8/3

Step-by-step explanation:

Remember that the slope intercept formula is:

y = mx + b (m is the slope and b is the y-intercept)

We know that slope = 5/6 therefore m = 5/6

So far we have the equation: y =5/6x + b

Now we must find b

To do that, you must plug in the point the line goes through in the x and y of the equation. Point (-2, 1) go through the equation:

y = 5/6x + b

1 = 5/6(-2) + b

Now solve for b

First, you will multiply 5/6 by -2

1 = -5/3 + b

Add 5/3 to both sides

1 + 5/3 = -5/3 + 5/3 + b

8/3 = b

Now that we have b, we can now complete the equation.

y = 5/6x + 8/3

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Jane and her neighbor Amil are jealous of each other’s gardens. Amil’s garden is twice the size of Jane’s garden. Janes garden h

Arturiano [62]

Answer:

Jane

Step-by-step explanation:

Since Amil has twice the size of Jane's garden, he would have more space and his 28 watermelons would not be as close and dense. Jane has 22 watermelons and her garden is half the size. Her 22 watermelons would be more dense and close to each other in a garden half the size of the neighbors.

4 0

3 years ago

You are serving bratwurst and hamburgers at a picnic. You want at least 3 brats or hamburgers for each of your 50 guests. Brats

Greeley [361]

3 x 50 = 150
150 x 1.25 = 187.5
If you were to buy just brats, you would spend $187.50. So, you would have a spare $12.50, which could buy you 8 more.

3 x 50 = 150
150 x 0.95 = 142.5
If you were to buy just hamburgers, you would spend $142.50. So, you would have a spare $57.50, which could buy you 60 more.

5 1

3 years ago

Write each product in standard form. (y+ 9)(y+ 9)

Alla [95]

Answer:

y² + 18y + 81

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients
Expand by FOIL (First Outside Inside Last)

Step-by-step explanation:

Step 1: Define

(y + 9)(y + 9)

Step 2: Expand

FOIL: y² + 9y + 9y + 81
Combine like terms: y² + 18y + 81

3 0

3 years ago

A recipe for individual chocolate hazelnut tarts calls for ½ cup of hazelnuts per tart. If 1 cup of hazelnuts weighs 4 ounces, w

DerKrebs [107]

Answer:

The amount is sufficient to make 75 tarts.

Step-by-step explanation:

We have been given that a recipe for individual chocolate hazelnut tarts calls for ½ cup of hazelnuts per tart and 1 cup of hazelnuts weighs 4 ounces.

The half cup of hazelnuts will weigh 2 ounces $(\frac{4}{2}=2)$ .

1 kg equals 35.274 ounces.

$\text{5 kg}=5\times 35.274\text{ ounces}$

$\text{5 kg}=176.37\text{ ounces}$

Since each tart needs ½ cup of hazelnuts and half cup of hazelnuts will weigh 2 ounces, so we will divide 176.37 ounces by 2 to find number of tarts.

$\frac{176.37}{2}=88.185\approx 88$

Since we can make 88 tarts from 5 kg hazelnuts, therefore, the 5-kilogram bag of hazelnuts be sufficient to make 75 tarts.

7 0

3 years ago

If the sales tax for the city of Richmond is 6%, how much tax would you pay for a Playstation 5 that costs

shtirl [24]

Start by converting 6% to a decimal by dividing by 100, = 0.06

Multiply that by the cost of the PlayStation five, and that is how much tax you pay.

499.99 x 0.06 = 29.9994
The question says to round it to the nearest hundredths, so it’s $30

5 0

3 years ago