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3 years ago

Are these ratios proportional (which means equal)?

Mathematics

1 answer:

Anni [7]3 years ago

7 0

Answer:

yes

9/17 *4 is 36/68.

so for proportional you need to simplify the other term and if they both result in same then they both are proportional

Step-by-step explanation:

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What is the solution to 4(x-7)=0.3(x+2)+2.11

kondaur [170]

Expand

4x - 28 = 0.3x + 0.6 + 2.11

Simplify 0.3x + 0.6 + 2.11 to 0.3x + 2.71

4x - 28 = 0.3x + 2.71

Add 28 to both sides

4x = 0.3x + 2.71 + 28

Simplify 0.3x + 2.71 + 28 to 0.3x + 30.71

4x = 0.3x + 30.71

Subtract 0.3x from both sides

4x - 0.3x = 30.71

Simplify 4x - 0.3x to 3.7x

3.7x = 30.71

Divide both sides by 3.7

x = 30.71/3.7

Simplify 30.71/3.7 to 8.3

x = 8.3

5 0

4 years ago

Kyle asks his friend Jane to guess his age and his grandmother’s age. Kyle says his grandmother is not more than 80 years old. H

motikmotik

The incorrect inequality is g > 80. The symbol ">" means greater than. So g > 80 would translate to meaning Kyle's grandmother is greater than 80. However, the problem states that his grandmother is not more than 80, meaning she is either 80 or younger. So the inequality should be g ≤ 80, or Kyle's grandmother is less than or equal to 80 years of age.

5 0

3 years ago

Read 2 more answers

405.5 divided by 12.5. Step by step

lyudmila [28]

Answer:

= 32.440

Step-by-step explanation:

Change the divisor 12.5 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.

We then have the equations:

4055 ÷ 125 = 32.440

and therefore:

405.5 ÷ 12.5 = 32.440

Both calculated to 3 decimal places.

3 0

3 years ago

Find the Prove that sin theta tan theta= (1 + sec theta)(1 - cos theta)

larisa86 [58]

Answer:

Step-by-step explanation:

RHS = (1 +Sec Ф)(1 - Cos Ф)

= 1*1 - 1*Cos Ф + Sec Ф *1 - Sec Ф *Cos Ф

= 1 - Cos Ф + Sec Ф - 1 {Sec Ф = $\frac{1}{Cos \ theta}$ )

=Sec Ф - Cos Ф

= $\frac{1}{Cos \ theta}$ - Cos Ф

$= \frac{1}{Cos \ theta}-\frac{Cos \ theta*Cos \ theta}{Cos \ theta}\\\\= \frac{1-Cos^{2} \ theta}{Cos \ theta}\\\\= \frac{Sin^{2} \ theta}{Cos \ theta}\\\\=\frac{Sin \ theta*Sin \ theta}{Cos \ theta}\\\\= Sin \ theta*\frac{Sin \ theta}{Cos \ theta}$

= Sin Ф* tan Ф = LHS

5 0

3 years ago

Read 2 more answers

I need help with number 4, thank you

LiRa [457]

Answer:

Step-by-step explanation:

In number 4 the given figure is a parallelogram, 

So,

Base of the parallelogram = 14

Height of the parallelogram = 9

Therefore, 

Area of the parallelogram = Base × Height 

= 14 × 9

= 126

Hence, area of figure in question no. 4 is 126 (Ans)

8 0

3 years ago