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3 years ago

Are the ratios 16:18 and 1:2 equivalent? yes or no

Mathematics

2 answers:

USPshnik [31]3 years ago

7 0

No because if you do 1:2 times 9 on both sides

Flura [38]3 years ago

6 0

Nope 16:18 is equivalent to 8:9

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Find the solution 4x<8

Nataliya [291]

x=1

...................

7 0

3 years ago

Plz help me with this

forsale [732]

Answer:

$\frac{31x}{30}$

Step-by-step explanation:

Before adding we require the fractions to have a common denominator

The lowest common denominator of 2, 5 and 3 is 30, thus

$\frac{15x}{15(2)}$ + $\frac{6x}{6(5)}$ + $\frac{10x}{10(3)}$

= $\frac{15x}{30}$ + $\frac{6x}{30}$ + $\frac{10x}{30}$

Add the numerators leaving the denominator

= $\frac{15x+6x+10x}{30}$ = $\frac{31x}{30}$

5 0

3 years ago

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Heather has divided $5900 between two investments, one paying 9%, the other paying 4%. if the return on her investment is $3

Leni [432]

Heather invested $2,200 at 9% and invested $3,700 at 4%

What represents the amount invested in each asset?

The amount invested at 9% can be represented as x whereas the balance invested at 4% is (5900-x), as a result, the interest earned on each is computed thus:

Interest 9%=x*9%

interest at 9%=0.09x

Interest at 4%=(5900-x)*4%

interest at 4%=236-0.04x

Total interest=0.09x+236-0.04x

total interest=0.05x+236

Total interest earned=346

346=0.05x+236

346-236=0.05x

110=0.05x

x=110/0.05

x=$2,200(invested at 9%)

amount invested at 4%=5900-2200

amount invested at 4%=$3,700

Find out more about simple interest on:brainly.com/question/14214349

#SPJ1

3 0

1 year ago

Which point would be a solution to the system of linear inequalities ?

brilliants [131]

Answer:

(12,-6)

Step-by-step explanation:

we have

$y\leq \frac{4}{3}x+5$ ----> inequality A

$y\geq -\frac{5}{2}x+5$ ---> inequality B

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

<u><em>Verify each point</em></u>

Substitute the value of x and the value of y of each ordered pair in the inequality A and in the inequality B

case 1) (0,-1)

Inequality A

$-1\leq \frac{4}{3}(0)+5$

$-1\leq5$ ----> is true

Inequality B

$-1\geq -\frac{5}{2}(0)+5$

$-1\geq 5$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 2) (0,3)

Inequality A

$3\leq \frac{4}{3}(0)+5$

$3\leq5$ ----> is true

Inequality B

$3\geq -\frac{5}{2}(0)+5$

$3\geq 5$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 3) (-6,-6)

Inequality A

$-6\leq \frac{4}{3}(-6)+5$

$-6\leq-3$ ----> is true

Inequality B

$-6\geq -\frac{5}{2}(-6)+5$

$-6\geq 20$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 4) (12,-6)

Inequality A

$-6\leq \frac{4}{3}(12)+5$

$-6\leq21$ ----> is true

Inequality B

$-6\geq -\frac{5}{2}(12)+5$

$-6\geq -25$ ----> is true

therefore

The ordered pair is a solution of the system (makes true both inequalities)

8 0

3 years ago

A rectangle is a rhombus.

Soloha48 [4]

False. It’s a quadrilateral.

4 0

3 years ago

Read 2 more answers