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photoshop1234 [79]
3 years ago
13

Combine like terms -7+5x-2=15

Mathematics
1 answer:
alexgriva [62]3 years ago
3 0
<h3>If you combine like terms you get :</h3>

5x = 24

Step-by-step explanation:

- 7 + 5x - 2 = 15

Combine like terms

5x = 15 + 7 + 2

Further Workings :

Simplify

5x = 24

\frac{5x}{5}  =  \frac{24}{5}  \\  \\ x = 4.8

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Norachai traveled to the recycling plant and back. The trip back took 5 hours. He averaged 9mph faster on the trip there than on
irina1246 [14]

Answer:

His\ average\ speed\ to\ trip\ there\ =45\ mph\\\\His\ average\ speed\ in\ return\ trip=45-9=36\ mph\\\\His\ average\ speed\ during\ whole\ trip=40\ mph

Step-by-step explanation:

Let\ distance\ from\ one\ side=d

Trip:

Let\ speed\ when\ he\ was\ going=x\ mph\\\\Time\ taken=4\ hours\\\\distance=d\\\\distance=speed\times time\\\\d=x\times 4\\\\d=4x\ ...................................eq(1)

Return Trip:

Speed=x-9\ \ \ \ \ (as\ it\ is\ 9\ mph\ slower)\\\\Time\ taken=5\ hours\\\\Distance=d\\\\Distance=speed\times time\\\\Distance=5\times (x-9)\\\\d=5x-45\ ........................................eq(2)

from\ eq(1)\ and\ eq(2)\\\\5x-45=4x\\\\5x-4x=45\\\\x=45\ mph\\\\from\ eq(1)\\\\d=4\times 45=180\ miles

Average\ speed\ during\ whole\ trip=\frac{total\ distance}{total\ time}=\frac{2\times 180}{5+4}=\frac{360}{9}=40\ mph

His\ average\ speed\ to\ trip\ there\ =45\ mph\\\\His\ average\ speed\ in\ return\ trip=45-9=36\ mph\\\\His\ average\ speed\ during\ whole\ trip=40\ mph

8 0
3 years ago
DL and BM are the heights on sides AB and AD respectively of parallelogram ABCD. If the area of the parallelogram is 1470 cm2 ,
STatiana [176]

Answer:

BM = 30 cm, DL = 42 cm

Step-by-step explanation:

The area of the parallelogram = 1470 cm², AB = 35 cm,  AD = 49 cm, DL and BM are the heights on sides AB and AD.

area of the parallelogram = base × height = AD × height of AD = AD × BM

⇒ 1470 cm² = 49 cm × BM

BM = 1470 cm² / 49 cm = 30 cm

BM = 30 cm

Also:

area of the parallelogram = base × height = AB × height of AB = AB × DL

⇒ 1470 cm² = 35 cm × DL

DL = 1470 cm² / 35 cm = 42 cm

DL = 42 cm

3 0
3 years ago
2. √2x-5-√x+6=0(solving the following radical equations and check for extraneous solutions)
Norma-Jean [14]

I assume the equation is

√(2x - 5) - √(x + 6) = 0

Note the domains for the root expressions:

• √(2x - 5) : 2x - 5 ≥ 0   ⇒   x ≥ 5/2

• √(x + 6) : x + 6 ≥ 0   ⇒   x ≥ -6

So any valid solution we find must be at least 5/2.

Move one term to the other side.

√(2x - 5) = √(x + 6)

Take squares.

(√(2x - 5))² = (√(x + 6))²

2x - 5 = x + 6

Solve for x :

x = 11

5 0
2 years ago
Shaun's savings can be modeled by the regression equation y = 6x^2 + 75x+200. Which of the following is the best prediction for
kipiarov [429]

Answer:

Option D

Step-by-step explanation:

The equation to predict the amount saved is

y = 6x ^ 2 + 75x + 200.

Assuming that the variable x represents the saving months, then substitute x = 25 in the quadratic equation and solve for y.

y = 6 (25) ^ 2 +75 (25) +200\\\\y = \$\ 5,825

The answer is the option D  $5,825

3 0
3 years ago
You plan to construct a brick wall measuring 15 ft. in length, 6 ft. high, and 1 ft. in width. If a brick measures 6 in. x 4 in.
lakkis [162]
I believe the answer to be 6,480
8 0
4 years ago
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