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slava [35]
3 years ago
9

Which answer is correct

Mathematics
1 answer:
Elza [17]3 years ago
7 0

Answer:

The answer is b.

Step-by-step explanation:

If we multiply the given expression, that is

(3x+2)*(-6x-3)= -18x2+9x-12x-6

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-7(6m+ 2) = -308 showing work
stiv31 [10]
<h3>\sf\purple{m\:=\:7} ✅</h3><h3><u>Step</u>-<u>by</u>-<u>step</u> <u>explanation</u>:</h3>

- 7(6m + 2) =  - 308 \\  ➪ \:   - 42m - 14 =  - 308 \\  ➪   \: - 42m \:   = - 308 + 14 \\  ➪ \:  m =   \frac{ - 294}{ - 42}  \\  ➪  \: m \:  =  7

<h3><u>To </u><u>verify</u>:-</h3>

- 7(6 \times 7 + 2) =  - 308 \\ ➵ - \:  7(42 + 2) = -  308 \\ ➵ \:  - 7 \times 44 =  - 308  \\ ➵ \:  - 308 =  - 308

➵ L. H. S. = R. H. S.

Hence verified. ✔

\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘

7 0
3 years ago
The actual width ( w) of a regulation soccer field is 90 meters (m), and the actual length is 120 meters (m). A coach has drawn
vladimir2022 [97]

Answer:

Proportion states that the two equal ratios or fractions are equal.

Use conversion:

1 m = 100 cm

As per the statement:

The actual width ( w) of a regulation soccer field is 90 meters (m), and the actual length is 120 meters (m

⇒Actual length = 120 m and  Actual width = 90 m

It is also given that:

A coach has drawn a scale model of the field on a blackboard. If the longest side of his drawing is 18 cm.

⇒ Drawing length = 18 cm = 0.18 m

By definition of proportion:

\frac{\text{Actual length}}{\text{Actual width}}=\frac{\text{Drawing length}}{\text{Drawing width}}

Substitute the given values we have;

\frac{120}{90}=\frac{0.18}{\text{Drawing width}}

By cross multiply we have;

120 \cdot \text{Drawing width} = 90 \cdot 0.18

Simplify:

120 \cdot \text{Drawing width} =16.2

Divide both sides by 120 we get;

\text{Drawing width} =0.135 m

Or

\text{Drawing width} =13.5 cm

Therefore, the other side of the drawing width is 13.5 cm

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4 years ago
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180(4) = 720

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