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3 years ago

How to graph 9x+15y=45

1 answer:

3 0

First you should rearrange to get it in the form y = mx + c, and you do this by subtracting the 9x from both sides and dividing by 15, which gives you:
y = (-9/15)x + 3

Now you know the y-intercept is 3, so you can mark that on as a point.
Then, to graph the gradient of -9/15, you go along 15 spaces to the right and 9 spaces down, or 15 to the left and 9 spaces up, and you repeat this until you run out of room. Then you just join the dots

I hope this helps! Let me know if you have any questions :)

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Susan earned $191.25 last week. She is paid<br> $8.50/h. How many hours did she work?

Oksanka [162]

Answer:

22.5 hours

Step-by-step explanation:

191.25 divided by 8.50 hours will get you the total amount of hours she worked

5 0

2 years ago

Read 2 more answers

Find the value of x in each case: Given: Iso. ΔABC, HM ∥DG Find: x, m∠CAB, m∠CBA

AleksAgata [21]

1. Start with ΔCIJ.

∠HIC and ∠CIJ are supplementary, then m∠CIJ=180°-7x;
the sum of the measures of all interior angles in ΔCIJ is 180°, then m∠CJI=180°-m∠JCI-m∠CIJ=180°-25°-(180°-7x)=7x-25°;
∠CJI and ∠KJA are congruent as vertical angles, then m∠KJA =m∠CJI=7x-25°.

2. Lines HM and DG are parallel, then ∠KJA and ∠JAB are consecutive interior angles, then m∠KJA+m∠JAB=180°. So

m∠JAB=180°-m∠KJA=180°-(7x-25°)=205°-7x.

3. Consider ΔCKL.

∠LFG and ∠CLM are corresponding angles, then m∠LFG=m∠CLM=8x;
∠CLM and ∠CLK are supplementary, then m∠CLM+m∠CLK=180°, m∠CLK=180°-8x;
the sum of the measures of all interior angles in ΔCLK is 180°, then m∠CKL=180°-m∠CLK-m∠LCK=180°-(180°-8x)-42°=8x-42°;
∠CKL and ∠JKB are congruent as vertical angles, then m∠JKB =m∠CKL=8x-42°.

4. Lines HM and DG are parallel, then ∠JKB and ∠KBA are consecutive interior angles, then m∠JKB+m∠KBA=180°. So

m∠KBA=180°-m∠JKB=180°-(8x-42°)=222°-8x.

5. ΔABC is isosceles, then angles adjacent to the base are congruent:

m∠KBA=m∠JAB → 222°-8x=205°-7x,

7x-8x=205°-222°,

-x=-17°,

x=17°.

Then m∠CAB=m∠CBA=205°-7x=86°.

Answer: 86°.

3 0

2 years ago

Read 2 more answers

In 1990, a magazine collected data and published an article evaluating freezers. It listed 45 models, giving the brand, cost (do

Anna71 [15]

Complete question is;

In 1990, a magazine collected data and published an article evaluating dryers. It listed 45 models, giving the brand, cost (dollars), size (cu ft), type, estimated annual energy cost (dollars), an overall rating (good, excellent, etc.), and repair history for that brand (percentage requiring repairs over the past 5 years).

The W's are Who, What, When, Where, Why, and hoW.

1) Identify the Who. Choose the correct answer below.

A. 45 models of dryers

B. Dryers

C. Brands of dryers

D. Size of dryers dryers

2) Identify the What. Choose the correct answer below.

A. Brand, type, overall rating

B. Brand, cost, size, type, estimated annual energy cost, overall rating, repair history

C. Cost, size, estimated annual energy cost, repair history

D. Brand, cost, size, type

3) Identify the When. Select the correct choice below and, if necessary, fill in any answer boxes within your choice.

A. The data were recorded in 1990.

B. The information is not provided.

4) Identify the Where. Choose the correct answer below.

A. The 45 models of dryers

B. The information is not provided.

C. The population of dryers

5) Identify the Why. Choose the correct answer below.

A. To provide information to the magazine's readers

B. To write an article about dryers

C. To compare the size of the dryers

D. To collect information about dryers

6) Identify the hoW. Choose the correct answer below.

A. The different dryers belonged to the magazine's employees.

B. The dryers were chosen at random.

C. The information is not provided.

7) Identify each variable as either categorical or quantitative.

Brand

▼

Categorical

Quantitative

Estimated annual energy cost

▼

Quantitative

Categorical

Cost

▼

Categorical

Quantitative

Overall rating

▼

Categorical

Quantitative

Size

▼

Quantitative

Categorical

Repair history

▼

Quantitative

Categorical

Type

▼

Categorical

Quantitative

8) For each quantitative variable, determine the units in which it was measured.

Cost

▼

Dollars

Not specified

Pounds

Estimated annual energy cost

▼

Dollars

Pounds

Not specified

Size

▼

Cubic inches

Cubic feet

Feet

Inches

Not specified

Repair history

▼

Years

Percentages

Not Specified

Answer:

All answered below.

Step-by-step explanation:

1) Option A: 45 models of dryers

2) Option B: Brand, cost, size, type, estimated annual energy cost, overall rating, repair history

3) Option A: The data were recorded in 1990.

4) Option B: The information is not provided.

5) Option A: To provide information to the magazine's readers

6) Option C. The information is not provided.

7) - Brand variable is Categorical

- Estimated annual energy cost variable is Quantitative

- Cost variable is Quantitative

- Overall rating variable is Categorical

- Size variable is Quantitative

- Repair history variable is Quantitative

- Type variable is Categorical

8) - cost is in dollars)

- estimated annual energy cost is in dollars

- size is in cu. ft

- repair history is in percentages

8 0

3 years ago

Simplify the following expression by combining like terms.

Aleks04 [339]

Answer:

8x^2+3x

Step-by-step explanation:

What I read is 2x+8x^2-4x+5x

combining like terms means putting the terms that have the same variable part together

8x^2 is the only one that doesn't have any terms like it as far as the variable part

so 8x^2+2x-4x+5x

We just need to figure out 2-4+5 which is -2+5=3

So the answer is 8x^2+3x

7 0

2 years ago

I need help with this question

Levart [38]

Answer:

-5.5

Step-by-step explanation:

You just need to subtract the two I'm pretty sure

8 0

2 years ago