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Sedbober [7]
3 years ago
7

Write the equation of 4x+5t=20 in slope-intercept form

Mathematics
2 answers:
AfilCa [17]3 years ago
7 0

Answer:

y=-\frac{4}{5}x +4

Step-by-step explanation:

Recall that slope-intercept form is the following form: y=mx+b, where m is the slope and b is the y-intercept.

To get an equation into slope-intercept form, we just need to solve for y.

We begin with the equation 4x+5y=20. With this, we can solve for y to get our answer.

4x+5y=20\\\\5y=-4x+20\\\\y=-\frac{4}{5}x +\frac{20}{5} \\\\y=-\frac{4}{5}x +4

Aleonysh [2.5K]3 years ago
4 0

Answer:

y=(-4/5)x+4

Step-by-step explanation:

4x+5y=20

5y=-4x+20

y=(-4/5)x+4

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In triangle ABC segment DE is parallel to the side AC . (The endpoints of segment DE lie on the sides AB and BC respectively). F
Sophie [7]

Answer:

The length of DE is 14 cm.

Step-by-step explanation:

Given in triangle ABC segment DE is parallel to the side AC . (The endpoints of segment DE lie on the sides AB and BC respectively). we have to find the length of DE.

Given lengths are AC=20cm, AB=17cm, and BD=11.9cm

In ΔBDE and ΔBAC

∠BDE=∠BAC       (∵Corresponding angles)

∠BED=∠BCA       (∵Corresponding angles)

By AA similarity rule, ΔBDE~ΔBAC

∴their corresponding sides are in proportion

⇒ \frac{BE}{BC}=\frac{BD}{BA}=\frac{DE}{AC}

⇒ \frac{BD}{BA}=\frac{DE}{AC}

⇒ \frac{11.9}{17}=\frac{DE}{20}

⇒ DE=\frac{20\times 11.9}{17}=14cm

5 0
3 years ago
How many pounds of candy worth 70 cents a pound must be mixed with 30 pounds of candy worth 90 cents a pound to produce a mixtur
Svet_ta [14]
<h3>Answer:</h3>

B) 10 pounds

<h3>Explanation:</h3>

Let x represent the amount of 70¢ candy to be added. The value of the mixture can be written as ...

... 90×30 + 70x = 85×(30+x) . . . . . where 30+x is the total weight of the mix

... 2700 +70x = 2550 +85x

... 150 = 15x . . . . . . add -70x-2550

... 10 = x . . . . . . . . . divide by the coefficient of x

10 pounds of candy at 70¢/lb must be added.

5 0
3 years ago
Joseph's lunch at a restaurant costs 13.00, without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax
Musya8 [376]

Answer:

The cost before tax with tip is $15.21.

Step-by-step explanation:

To calculate percentage, take the percent (17%) and take its decimal form. This means 17% is 0.17 (like 50% would be 0.5). multiply the number you want the percentage of by the decimal form. 13*0.17=2.21. Add this to the cost before tax and before tip. 13.00+2.21=15.21. The cost before tax with tip is $15.21.

3 0
2 years ago
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than
-BARSIC- [3]

Answer:

a) Null Hypothesis: length of each screw is less than 14 centimeters

b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters

Step-by-step explanation:

Complete question

A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 14 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of screws. The sample mean screw length was centimeters. The population standard deviation is known to be centimeters.

1. What is the null hypothesis?

2. What is the alternative hypothesis?

Solution :

The null hypothesis is basically the problem statement that needs to be tested.

Alternate hypothesis is opposite of that of null hypothesis

a) Null Hypothesis: length of each screw is less than 14 centimeters

b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters

7 0
3 years ago
A triangular pane of glass has a height of 34 inches and an area of 442 square inches. What is the length of the base of the pan
Katena32 [7]

Answer:

26

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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