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solong [7]
3 years ago
15

I need help on 34 and 36

Mathematics
1 answer:
aleksley [76]3 years ago
4 0
34. 65 = 3/4c - 7....add 7 to both sides
      65 + 7 = 3/4c...simplify
       72 = 3/4c...multiply both sides by 4/3, eliminating the 3/4 on the left
       72 * 4/3 = c
       288/3 = c
       96 = c

36. -5/2 = 3/4z + 1/2 ...subtract 1/2 from both sides
      -5/2 - 1/2 = 3/4z .... simplify
       -6/2 = 3/4z ....reduce
       -3 = 3/4z....multiply by 4/3. eliminating the 3/4 on the left
      -3 * 4/3 = z
       -12/3 = z
       -4 = z
       
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(a): How many miles does the train travel per gallon?<br> (b):What is the slope of the graph?
drek231 [11]

since the graph has direct variation as data in x axis increases y also increases.

so we need to find how many miles travelled per galloon .

we distance travelled per gallon =total distance travelled/galoons of fuel used.

Distance travelled per gallon=200 miles/400 gallons=0.5 litres travelled per gallon

for part b) slope=rise/run

m=(y2-y1)/(x2-x1)

y2=400  y1=0 x1=0 x2=200

m=(400-0)/(200-0)=2

slope of the graph is 2

5 0
2 years ago
Your friend earns $10.50 per hour this is 125% of her hourly wage last year how much did your friend make last year
NNADVOKAT [17]
10.50/5=2.10
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3 0
3 years ago
A teacher is choosing 4 students from a class of 30 to represent the class at a science fair. In how many ways can the teacher c
marin [14]
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4 0
2 years ago
7. Write the slope-intercept form of the equation of the line graphed below.​
Stels [109]

Answer:

The answer to your question is y = \frac{-1}{2} x - 1

Step-by-step explanation:

Process

1.- Get to points of the line

    A (-2, 0)

    B (0, -1)

2.- Find the slope of the line

Slope = m = \frac{y2 - y1}{x2 - x1}

Substitution

             m = \frac{-1 - 0}{0 + 2} = \frac{-1}{2}

3.- Find the equation of the line

              y - y1 = m(x - x1)

Substitution

              y - 0 = -1/2(x + 2)

Simplification

                   y = -1/2x - 1

3 0
2 years ago
A sporting goods company is planning to manufacture a commemorative lacrosse
LiRa [457]

Answer:

Volume of this cylinder = 785.71 Cm³

Surface area of this cylinder​ = 157.14 Cm²

Step-by-step explanation:

Given:

Height of cylinder = 10 Cm

Radius of cylinder = 10 / 2 = 5 Cm

Find:

Volume of this cylinder.

Surface area of this cylinder​

Computation:

Volume of this cylinder = πr²h

Volume of this cylinder = (22/7)(5)²(10)

Volume of this cylinder = 785.71 Cm³

Surface area of this cylinder​ = 2πr(h+r)

Surface area of this cylinder​ = 2(22/7)(5)(10+5)

Surface area of this cylinder​ = 2(22/7)(5)(15)

Surface area of this cylinder​ = 157.14 Cm²

5 0
2 years ago
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