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Lerok [7]
3 years ago
14

One number is 9 more than twice the other number. Their sum is 54. Find the numbers.

Mathematics
1 answer:
stiks02 [169]3 years ago
3 0

Answer: The Numbers are 15 and 39

Step-by-step explanation: 2(15) + 9 = 39

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the number of grams a woman should eat in a day to maintain her weight is proportional to her weight. a woman weighing 102 pound
vitfil [10]
Given:
grams of fat : 34 grams TO weight of woman : 102 pounds
grams of fat : ? TO weight of woman : 180 pounds

This is a proportion problem: 34 grams to 102 pounds.

We first have to convert a unit of measure to another to maintain uniformity of measure. let us convert pounds to grams:

102 pounds * 453.592 grams / pound = 46,266.384 grams
180 pounds * 453.592 grams / pound = 81,646.560 grams

34 grams to 46,266.384 grams = x grams to 81,646.560 grams

proportion: a:b = c:d where ad = bc

34 grams * 81,646.560 grams = x * 46,266.384 grams
2,775,983.04 grams² = x * 46,266.384 grams
2,775,983.04 grams² ÷ 46,266.384 grams = x
60 grams = x 

A woman weighing 180 pounds should eat 60 grams of fat to maintain her weight.
7 0
4 years ago
Please answer this correctly
aleksklad [387]

Answer:

63.2 = y

Step-by-step explanation:

The perimeter is the sum of all the sides

P = 7.8+ y+37.6 + y

171.8 = 7.8+ y+37.6 + y

Combine like terms

171.8 = 45.4 + 2y

Subtract 45.4 from both sides

171.8-45.4 = 45.4 + 2y -45.4

126.4 = 2y

Divide each side by 2

126.4/2 = 2y/2

63.2 = y

6 0
3 years ago
In the figure, PA and PB are tangent to circle O and PD bisects ∠BPA . The figure is not drawn to scale. For m
Mademuasel [1]

Angle AOC = 46°   Find angle BPO

We have congruent right triangles PAO and PBO, right angles A and B.

So AOC=BOC=46 degrees,

PBO is a right angle so BPO is complementary to BOC, so 42 degrees

Answer: 42 degrees

3 0
3 years ago
Use synthetic division to show that the number given to the right of the equation is a solution of the equation. Then solve the
AysviL [449]

Answer:

x = 2 \: or \: x =  - 2 \: or \: x =  -  \frac{1}{2}

Step-by-step explanation:

The given polynomial equation is

2 {x}^{3}  +  {x}^{2}  - 8x - 4 = 0

We perform the synthetic division as shown in the attachment by dividing by x-2.

This gives a remainder of 0 and a quotient of

2 {x}^{2}  + 5x + 2

This means the polynomial equation becomes:

(x - 2)(2 {x}^{2}  + 5x + 2) = 0

We factor the quadratic term by splitting the middle term;

(x - 2)(2 {x}^{2}  + 4x +x +  2) = 0

(x - 2)(2 x(x+ 2) +1(x +  2) )= 0

Collect common factors again:

(x - 2)((x+ 2)(2x +  1) = 0

The solution is:

x = 2 \: or \: x =  - 2 \: or \: x =  -  \frac{1}{2}

8 0
4 years ago
How to simplify 1 over 10 times 4 over 10
seropon [69]
1/10 * 4/10 = 4/100 divide both by 4 it'll be 1/25
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4 years ago
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