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Hoochie [10]
3 years ago
6

heather, rafael, and tom have a total of $101 in their wallets. Rafael had 3 times what tom has. tom has $9 more than heather. h

ow much do they have in their wallets
Mathematics
1 answer:
docker41 [41]3 years ago
5 0

Answer:

A) H + R + T = 109

B) R = 3T

C) T = H + 9 combining equation B) with equation A)

A) H + 4T = 109 combining C) with A)

A) T -9  + 4T = 109

A) 5T = 118

Tom has 23.60 dollars

We put this information into equation B)

R = 3*23.60

Rafeal has 70.80 dollars

Putting this into Rafael and Ton into equation A)

A) H + 70.80 + 23.60 = 109

Heather has 14.60 dollars

Step-by-step explanation:

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lys-0071 [83]

Question:

For which value of x must the expression √97x be further simplified?

A. 5    B. 10     C. 15     D. 20

Answer:

D.  x = 20

Step-by-step explanation:

Given

\sqrt{97x

Required

For what value of x can it be simplified

From the list of options, only (D) is correct

D. 20

Substitute 20 for x in \sqrt{97x

\sqrt{97 x} = \sqrt{97 * 20}

Express 20 as 4 * 5

\sqrt{97 x} = \sqrt{97 * 4 * 5}

Reorder

\sqrt{97 x} = \sqrt{4 *97 * 5}

Split

\sqrt{97 x} = \sqrt{4} *\sqrt{97 * 5}

\sqrt{97 x} = 2*\sqrt{97 * 5}

\sqrt{97 x} = 2*\sqrt{485}

\sqrt{97 x} = 2\sqrt{485}

With other values of x, the given expression can not be simplified.

Hence:

x = 20

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3 years ago
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3 0
3 years ago
David lives 3 2/3 miles from the lake. Mariel lives2 1/2 times as far from the lake as David does.
jek_recluse [69]
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3 years ago
The binomial (2x+6) is a factor of a quadratic expression 10x^2+18x-36 what is the other factor of this expression?
madreJ [45]

Answer:

The other factor of the polynomial is (5x -6)

Step-by-step explanation:

Here, we want to find the other factor of this binomial expression

To find the other factor, we simply proceed to divide the polynomial by the binomial

That would be;

(10x^2 + 18x - 36)/(2x + 6)

= 5x - 6

5 0
3 years ago
Which transformation will map an isosceles trapezoid onto itself? rotation by 180° about its center, reflection across a diagona
alukav5142 [94]

Answer:

The correct option is 4.

Step-by-step explanation:

The non parallel sides of an isosceles trapezoid are congruent.

The image of an isosceles trapezoid is same as the preimage of isosceles trapezoid if

1. Reflection across a line joining the midpoints of parallel sides.

2. Rotation by 360° about its center.

3. Rotation by 360° about origin.

If we rotate the trapezoid by 180° about its center, then the parallel sides will interchanged.

If we reflect the trapezoid across a diagonal, then the resultant figure will be a parallelogram.

If we reflect across a line joining the midpoints of the nonparallel sides, then the parallel sides will interchanged.

After rotation by 360° about the center, we always get an onto figure.

Therefore option 4 is correct.

6 0
3 years ago
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