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3 years ago

Find the missing number in this proportions

Mathematics

1 answer:

iren2701 [21]3 years ago

5 0

Answer:

Step-by-step explanation:

If 28 ends up becoming 4, 7 is what they have to divide to make 4 a numerator. That means you have to divide 63 by 7 which would make 9.

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A total of $24,000 is to be invested in stocks and bonds. If the amount invested in bonds is three times that invested in stoc

Ilya [14]

Answer:

bonds: $18,000
stocks: $6,000

Step-by-step explanation:

You have a total of $24,000 invested in stocks and bonds in the ratio 1 : 3. You want to know the amount invested in each category.

<h3>Ratio</h3>

Recognizing that the total number of ratio units is 1+3 = 4, and that total represents $24,000, we see that each ratio unit represents $24,000/4 = $6,000.

Multiplying the ratio by $6,000, we see the investment amounts are ...

stocks : bonds = 1 : 3 = $6,000 : $18,000

$6,000 is invested in stocks; $18,000 is invested in bonds.

3 0

1 year ago

M<3 is (3x + 4) and m<5 is (2x +11)

butalik [34]

Answer:

Part 1) Option C. Same side interior angles

Part 2) Option A. $(3x+4)+(2x+11)=180\°$

Part 3) Option B. $m$

Step-by-step explanation:

Part 1) we know that

If p and q are parallel

then

m<3 and m<5 are consecutive interior angles or Same side interior angles

and

$m$

Part 2) we know that

$m$ -----> by consecutive interior angles (supplementary angles)

we have that

$m$

substitute

$(3x+4)+(2x+11)=180\°$

Part 3) Find the measure of angle 5

we know that

$(3x+4)+(2x+11)=180\°$

Solve for x

$5x+15\°=180\°$

$5x=180\°-15\°$

$x=165\°/5\°=33\°$

$m$

substitute the value of x

$m$

8 0

3 years ago

Read 2 more answers

6x + 4<br> What tipe of polynomial is this one?

Mkey [24]

Answer:

This is a binomial.

Step-by-step explanation:

Bi means two. Therefore, since this polynomial only has two integers it is a binomial.

5 0

3 years ago

How to solve 2(10 -6x)=x -8x

SashulF [63]

Answer:

Step-by-step explanation:

2(10 -6x)=x -8x

20 - 12x = x - 8x

20 = x - 8x + 12x

20 = 5x

20 / 5 = x

x = 4

3 0

2 years ago

Read 2 more answers

Prove the following using a direct proof:

hodyreva [135]

Answer:

Step-by-step explanation:

Prove: That the sum of the squares of 4 consecutive integers is an even integer.

An integer is a any directed number that has no decimal part or indivisible fractional part. Examples are: 4, 100, 0, -20,-100 etc.

Selecting 4 consecutive positive integers: 5, 6, 7, 8. Then;

$5^{2}$ = 25

$6^{2}$ = 36

$7^{2}$ = 49

$8^{2}$ = 64

The sum of the squares = 25 + 36 + 49 + 64

= 174

Also,

Selecting 4 consecutive negative integers: -10, -11, -12, -13. Then;

$-10^{2}$ = 100

$-11^{2}$ = 121

$-12^{2}$ = 144

$-13^{2}$ = 169

The sum of the squares = 100 + 121 + 144 + 169

= 534

Therefore, the sum of the squares of 4 consecutive integers is an even integer.

8 0

3 years ago