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Ksivusya [100]
3 years ago
7

Solve the inequality. Graph the solution. 7z< -28

Mathematics
1 answer:
Zepler [3.9K]3 years ago
6 0

Answer: The answer is -9

Step-by-step explanation:

7z<-28= -9

Because we take the -28 and add 19 because that's the common denominator and we come up with -9

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Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hu
dolphi86 [110]

Answer:

The monthly cost for 9 HCF is $38.54

Step-by-step explanation:

<em>The graph is missing; however, the question can still be solved</em>

Given

Slope = 1.55

When monthly cost = $47.84, Amount of water = 15 HCF

Required

Determine the monthly cost for 9 HCF

From the question, we understand that it is a linear function;

Linear functions are of the form

y = mx + b

Where y is the function of x and m is the slope

In this case; the function is the monthly water bill

and x is the amount of water

Solving for b

When monthly cost = $47.84, Amount of water = 15 HCF

The function is as follows;

47.84 = 1.55 * 15 + b

47.84 = 23.25 + b

Subtract 23.25 from both sides

47.84 - 23.25= 23.25 - 23.25 + b

24.59 = b

b = 24.59

Solving for the monthly cost for 9 HCF

Here, we have that

x = Amount\ of\ water = 9

m = Slope = 1.55

b = 24.59

Substitute these values in the linear function; y = mx + b

y = 1.55 * 9 + 24.59

y = 13.95 + 24.59

y = 38.54

<em>Hence, the monthly cost for 9 HCF is $38.54</em>

5 0
3 years ago
A farmer has enough feed to last his 15pigs for 20days. How long would the feed last if he had 10pigs​
ddd [48]

40/3 days, (13.33 days)

Step-by-step explanation:

Set up the equation, 15/20 = 10/x, and then use cross mutiply to solve it.

10 * 20 = 15x, x = 200/15 = 40/3

Why?

b/c if each pig eats the same amount of food, then the ratio between the number of pigs and days should remain constant.

5 0
3 years ago
Find the volume of a cone
lianna [129]

Answer:

96π or 301.59 in³

Step-by-step explanation:

V(cone) = 1/3πr²h

= 1/3·π·6²·8

= 96π or 301.59

6 0
3 years ago
Read 2 more answers
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
I am Lyosha [343]

Formula for the area of a quarter circle: A = (pi x r^2) / 4

A = (3.14 x 64) / 4

A = 200.96 / 4

A = 50.24 square yards

Hope this helps! :)

5 0
3 years ago
What is the relationship between the segments PQ and P’Q’
cupoosta [38]

Answer:

\frac{PQ}{P'Q'}=2.5

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal

In this problem Triangles OQP and OQ'P' are similar by AA Similarity Postulate

so

\frac{PQ}{P'Q'}=\frac{OP}{OP'}

we have

OP=12-2=10\ units

OP'=6-2=4\ units

substitute

\frac{PQ}{P'Q'}=\frac{10}{4}=2.5

5 0
3 years ago
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