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Gelneren [198K]
3 years ago
7

Write mixed number for p so that 3 1/4 × p is more than 3 1/4

Mathematics
1 answer:
Sholpan [36]3 years ago
8 0

Answer:

1 3/5

Step-by-step explanation:

Anything larger than 1 multiplied by 3 1/4 would result in a number more than 3 1/4.

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Write an equation of the line in slope-intercept form that passes through the given point with the given slope. (1,9) slope 4
pychu [463]

Answer:

y=1x+5y

The yyy-intercept of the line is (0,\greenE{3})(0,3)left parenthesis, 0, comma, start color #0d923f, 3, end color #0d923f, right parenthesis, so we know that \greenE{b}=\greenE{3}b=3start color #0d923f, b, end color #0d923f, equals, start color #0d923f, 3, end color #0d923f.

Finding \maroonC mmstart color #ed5fa6, m, end color #ed5fa6

Recall that the slope of a line is the ratio of the change in yyy over the change in xxx between any two points on the line:

\text{Slope}=\dfrac{\text{Change in }y}{\text{Change in }x}Slope=

Change in x

Change in y

​

start text, S, l, o, p, e, end text, equals, start fraction, start text, C, h, a, n, g, e, space, i, n, space, end text, y, divided by, start text, C, h, a, n, g, e, space, i, n, space, end text, x, end fraction

Therefore, this is the slope between the points (0,3)(0,3)left parenthesis, 0, comma, 3, right parenthesis and (2,7)(2,7)left parenthesis, 2, comma, 7, right parenthesis:

\begin{aligned}\maroonC{m}&=\dfrac{\text{Change in }y}{\text{Change in }x} \\\\ &=\dfrac{7-3}{2-0} \\\\ &=\dfrac{4}{2} \\\\ &=\maroonC{2}\end{aligned}

m

​

 

=

Change in x

Change in y

​

=

2−0

7−3

​

=

2

4

​

=2

​

In conclusion, the equation of the line is y=\maroonC{2}x\greenE{+3}y=2x+3y, equals, start color #ed5fa6, 2, end color #ed5fa6, x, start color #0d923f, plus, 3, end color #0d923f.

Step-by-step explanation:(0,5)left parenthesis, 0, comma, start color #0d923f, 5, end color #0d923f, right parenthesis is the yyy-intercept of the line, so \greenE{b}=\greenE{5}b=5start color #0d923f, b, end color #0d923f, equals, start color #0d923f, 5, end color #0d923f.

Now we find the slope by using the two points:

\begin{aligned} \maroonC{m}&=\dfrac{(9)-(5)}{(4)-(0)} \\\\ &=\dfrac{4}{4} \\\\ &=\maroonC{1} \end{aligned}

m

​

 

=

(4)−(0)

(9)−(5)

​

=

4

4

​

=1

​

Therefore, the equation of the line is y=\maroonC{1}x\greenE{+5}y=1x+5y, equals, start color #ed5fa6, 1, end color #ed5fa6, x, start color #0d923f, plus, 5, end color #0d923f.

3 0
3 years ago
Please please help <br> What is the dependent variable?<br> A) height<br> B )armspan
monitta
Height because dependent variable is the measurement
4 0
3 years ago
50 POINTSSSS!!!!!!!!!!!!!!!!!!!!!!!!!
Anit [1.1K]

Answer: To find the critical value, follow these steps.

Compute alpha (α): α = 1 - (confidence level / 100)

Find the critical probability (p*): p* = 1 - α/2.

To express the critical value as a z-score, find the z-score having a cumulative probability equal to the critical probability (p*).

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Peter needs 12 quarts of paint to paint a room of his house. If 1 gallon is equal to 4 quarts, how many gallons of paint should
Alisiya [41]

Answer:

A

Step-by-step explanation:

Because if 1 gallon is equal to 4 quarts, multiply both numbers by 3, you'll have 3 gallons = 12 quarts.

8 0
3 years ago
Read 2 more answers
What is the balance after 7 years if you deposit $2800 in an account that pays 4% interest compounded yearly ?
SVEN [57.7K]

Answer:the balance after 7 years is $3216

Step-by-step explanation:

A) Initial amount deposited into the account is $2800 This means that the principal,

P = 2800

It was compounded yearly. This means that it was compounded once in a year. So

n = 1

The rate at which the principal was compounded is 4%. So

r = 4/100 = 0.04

It was compounded for 7 years. So

t = 7

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. Therefore

A = 2800(1 + 0.04/2)^ 1× 7

A = 2800(1 + 0.02)^7

A = 2800(1.02)^7

A = $3216

6 0
3 years ago
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