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Burka [1]
2 years ago
13

Which equation can be represented using the number line?

Mathematics
1 answer:
kvasek [131]2 years ago
8 0

Answer:

the first one : 3/4 ÷ 1/8 = 6

Step-by-step explanation:

remember, dividing something by a fraction is the same as multiplying by the upside-down fraction.

like here

3/4 ÷ 1/8 = 3/4 × 8/1 = 3×8 / 4×1 = 24/4 = 6

you can see that confirmed in the graph, where every 1/4 contains 2/8. so, 1/8 fits 6 times into 3/4.

the other answer options are simply not true

1/8 ÷ 3/4 = 6

1/8 × 4/3 = 4/24 = 1/6 <> 6

6 ÷ 3/4 = 1/8

6/1 × 4/3 = 24/3 = 8 <> 1/8

6 ÷ 1/8 = 3/4

6/1 × 8/1 = 48 <> 3/4

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Maria and Franco are mixing sports drinks for a track meet. Maria uses 23 cup of powdered mix for every 2 gallons of water. Fran
Anastaziya [24]

Answer:

Maria

Step-by-step explanation:

Find the ratio of powdered mix to water for each drink.

For Maria:

(2/3 cup) / (2 gallon)

= 1/3 cup per gallon

For Franco:

(1 1/4 cup) / (5 gallon)

= (5/4 cup) / (5 gallon)

= 1/4 cup per gallon

Since 1/3 is bigger than 1/4, Maria's sports drink is stronger.

4 0
2 years ago
Pls work out and give detail. Use the slope formula to determine the slope of each line.
kolbaska11 [484]

Answer:

m=0

Step-by-step explanation:

Given

See attachment

Required

Determine the slope of the line

From the attachment, we have the following points

(x_1,y_1) = (-4,1)

and

(x_2,y_2) = (3,1)

The slope m is then calculated using:

m = \frac{y_2- y_1}{x_2 - x_1}

Substitute values for the x's and y's

m = \frac{1-1}{3 - (-4)}

m = \frac{1-1}{3 +4}

m = \frac{0}{7}

m=0

<em>Hence, the slope is 0</em>

7 0
3 years ago
In ΔABC, m∠ACB = 90°, CD ⊥ AB and m∠ACD = 45°. Find: AC, if CD = 6√2 in.
klio [65]

Answer:

AC = 12 units.

Step-by-step explanation:

Δ ACD is right-angled. ( as CD ⊥ AB).

cos 45° = CD / AC = 6√2 / AC

AC = 6√2 / cos 45°

AC = 6√2 / 1 /√2

= 6√2 *√2

= 6 * 2

= 12   (answer)

HOPE THIS HELPED ;3

5 0
3 years ago
Write a expression that can be used to multiply 6x198
nydimaria [60]

In this problem, we are asked to give an expression that can be used to mentally multiply 6 and 198. In order not to go through the rigorous multiplication, we can estimate 198 to 200, that is 6 *200 equal to 1200. Since there is a 2*6 excess or 12 then we subtract: 1200 -12 equal to 1188.

8 0
3 years ago
3 equivalent of expressions using distributive 300x + 100y
Musya8 [376]
Well you could do 5(60x+20y), 100(3x+y), and 2(150x+50y)
6 0
3 years ago
Read 2 more answers
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