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2 years ago

Flashback Practice

Mathematics

1 answer:

VashaNatasha [74]2 years ago

4 0

Step-by-step explanation:

We make "x" the subject of formula

2x = 11 + 5

(-5 changes to +5 because it's crossing over the equal to sign =)

2x = 16

(divide both sides by the coefficient of x)

2x ÷ 2 = 16 ÷ 2

X = 8

2. x /4 + 2 = 3

(we solve the Left Hand Side first by finding the LCM)

x/4 + 2

x + 8 = 3

‐---‐------

(cross multiply)

x + 8 = 4(3)

x + 8 = 12

x = 12 - 8

x = 4

3. 2(x - 7) = 3x + 10

(2 multiplies the entire bracket)

2x - 14 = 3x + 10

(collect like terms)

2x - 3x = 14 + 10

-x = 24

(multiply both sides by the negative sign "-")

x = -24

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Which proportion can be used to show that the slope of JL is equal to the slope of MP

Ilya [14]

Answer:

See below and attached

Step-by-step explanation:

As per the graph we have:

Coordinates of JL are J(-7, 4), L(-4, 0)

Coordinates of MP are M(-10, 8), P(-1, -4)

Slope formula is:

m = (y₂ - y₁)/(x₂ - x₁)

Slope of JL:

(0 - 4)/(-4-(-7)) = - 4 / 3

Slope of MP:

(-4 -8)/(-1- (-10)) = -12 / 9 = - 4/3

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3 years ago

A company has actual unit demand for four consecutive years of 100, 105, 135, and 150. The respective forecasts were 120 for all

Lubov Fominskaja [6]

Answer:

c. 20

Step-by-step explanation:

Calculation to determine Which of the following is the resulting MAD value that can be computed from this data

Using this formula

MAD= [ABS( Year 1 actual unit demand - Forecast) + ABS (Year 2 actual unit demand - Forecast) + ABS (Year 3 actual unit demand - Forecast) + ABS (Year 4 actual unit demand - Forecast)]/ Number of years

Let plug in the formula

MAD = [ABS(100 - 120) + ABS (105 - 120) + ABS (135 - 120) + ABS (150 - 120)]/4

MAD =(ABS 20) + (ABS 15) + (ABS 15) + (ABS 30)/4

MAD= 80/4

MAD=20

Therefore the resulting MAD value that can be computed from this data is 20

8 0

3 years ago

A particular type of mold is growing 9.7% per hour. Assuming that mold growth continues at this rate and there were 14,000 spore

nydimaria [60]

Total mold spores at end of 9.30 am is 26901.

Step-by-step explanation:

Number of molds = 14000

Rate = 9.7% per hour

Number of hours = 12 am to 9.30 am = 9 $\frac{1}{2}$ hours

Growth of mold = 14000 * 9.7% * 9 $\frac{1}{2}$

= 12901

Total mold spores at end of 9.30 am = 14000 + 12901

= 26901

Hence, the expected number of mold spores at 9.30 am is 26901.

7 0

3 years ago

In a group of 30 children, 80%can’t swim how many children can’t swim

adoni [48]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

the ratio of keiths age to Jared's ages 3 to 5 if Keith is 24 years old how old is Jared please show how many you got this answe

pishuonlain [190]

Comment
You need to set up a direct proportion. You have to relate Keith and Jared's ages to the ratio you were given.

Givens
Keith is 24
Keith / Jared = 3/5
J = Jared

Solution
3/5 = 24 / J Cross multiply
3*J = 5 * 24 Combine factors on the right.
3J = 120 Divide by 3
J = 120 / 3
J = 40

Conclusion
Jared is 40 years old.

4 0

3 years ago