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sergey [27]
3 years ago
15

Find the slope of f(x)=5x-4

Mathematics
2 answers:
frosja888 [35]3 years ago
6 0

Answer:

5

Step-by-step explanation:

Romashka-Z-Leto [24]3 years ago
4 0

Answer:

slope, m = 5

Step-by-step explanation:

Recall that the slope-intercept form of a linear equation can be written:

y = mx + b  or f(x) = mx + b

where m is the slope of the line.

in our case, we are given

f(x) = 5x - 4

if we compare this with the general equations above, we can see that

slope = m = 5

hence the slope is 5

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Write an equation in slope-intercept form of the line that passes through the given points
Elis [28]

y= -\frac{3x}{2} +1

3 0
3 years ago
Isabelle bought some stationery. 1/3 of them were pencils. 5/8 of the remainder were erasers and the rest were rulers. The cost
kobusy [5.1K]

Answer:

Isabelle spent $52.50 more on Erasers than rulers.

Step-by-step explanation:

Step 1

Find the quantity of each stationery bought in fraction

Let us represent the total fraction of what Isabelle bought as: x

1/3x = quantity of pencils bought

5/8 of the remainder = quantity of erasers bought

The remainder = x - 1/3x = 2/3x

5/8 of 2/3x = 5/8 × 2/3x = 5/12x

Hence, 5/12x = quantity of erasers bought

The rest is rulers

1 - (1/3 + 5/12)

1 - (4 + 5/12)

1 - 9/12

1 - 3/4

= 1/4x

Hence, 1/4 = quantity of rulers bought.

Step 2

We find the number of stationeries that Isabelle bought.

The cost of the stationery is

a Pencil: $1.20

an eraser: $1

a ruler: $0.50.

Total amount spent on stationery = 169.50

We have this equation

1.20 × 1/3x + 1 × 5/12x + 0.50 × 1/4x = 169.50

0.4x + 0.4166666667x + 0.125x =

169.50

0.9416666667x = 169.50

x = 169.50 /0.9416666667

x = 179.99999999

Approximately , the number of stationeries that Isabelle bought = x = 180

Step 3

Find the number and the amount spent on each stationery that Isabelle bought

a) i) Quantity of pencils bought = 1/3 x

x = 180

= 1/3 × 180

= 60 pencils

ii) Amount spent on pencils

If 1 pencil = $1.20

60 pencils =

60 × 1.20 = $72

b) i) Quantity of Erasers bought = 5/12x

x = 180

= 5/12 × 180

= 75 pencils

ii) Amount spent on Eraser

If 1 pencil = $1

75 pencils =

75 × 1 = $75

c) i) Quantity of rulers bought = 1/4 x

x = 180

= 1/4 × 180

= 45 pencils

ii) Amount spent on pencils

If 1 pencil = $0.50

45 pencils =

45 × 0.50 = $22.50

Step 4

We were asked to calculate how much more did she spend on erasers than rulers.

In step 3, the amount spent on Erasers = $75

the amount spent on ruler = $22.5

The difference in the amount spent = $75 - $22.5

= $52.5

Therefore, Isabelle spent $52.50 more on Erasers than rulers.

3 0
3 years ago
A box is supposed to have 150 folders in it. Clare counts only 147 folders in
VikaD [51]

Answer:

it's a 0.02% error.

147/150= 0.98% of the folders are there, making the error 0.02%

Step-by-step explanation:

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2 years ago
Taylor buys 6 bus tickets. He pays for the tickets with a $20 bill.
4vir4ik [10]

Answer:

20 - 6c

Step-by-step explanation:

because that shows that 6c is the cost of them and you'd take the cost of them away from how much he payed i guess

6 0
3 years ago
Read 2 more answers
Convert 2 Liters to gallons. Use the fact that 1 gal.= 3.8L.
iris [78.8K]

we know that

1 gal.= 3.8L

we can also write as

3.8L=1 gal

Firstly, we will find for 1L

so, we can divide both sides by 3.8

\frac{3.8}{3.8} L=\frac{1}{3.8}gal

1 L=\frac{1}{3.8}gal

now, we will multiply both sides by 22

22*1 L=22*\frac{1}{3.8}gal

22L=5.78947 gal

22L=5.8 gal

so, option-b.............Answer

8 0
3 years ago
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