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3 years ago

Solve the equation. Then check your solution.

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

4 0

8x+5= 69

Move +5 to the other. Sign changes from +5 to -5.

8x+5-5= 69-5

8x= 64

Divide by 8

8x/8= 64/8

x= 8

Answer : x= 8

You might be interested in

How can (1/2)x-5=(1/3)x+6 be set up as a system of equations?

leonid [27]

Answer:

2y-x=-10
3y-x=18

Step-by-step explanation:

Set each side of the equation equal to y, then rearrange to standard form.

(1/2)x -5 = y . . . left side of the equal sign

x -10 = 2y . . . . multiply by 2

-10 = 2y -x . . . . subtract x

(1/3)x +6 = y . . . right side of the equal sign

x +18 = 3y . . . . . multiply by 3

18 = 3y -x . . . . . subtract x

The corresponding system of equations is ...

2y -x = -10
3y -x = 18

8 0

3 years ago

Please answer this correctly without making mistakes I want experts and ace people to answer this correctly without making mista

yarga [219]

9514 1404 393

Answer:

2 miles 2 yards

Step-by-step explanation:

There are 1760 yards in a mile, so you are effectively performing the division ...

(9185 380/1760) ÷ 4590

where the number in parentheses is a mixed number of miles.

You do this division the same way you do any mixed-number division. There are different possible methods you can use. One of them is to convert the mixed number to an improper fraction, then divide.

9185 380/1760 = 9185 19/88 = (88·9185 +19)/88 = 808299/88

Then this is divided in the usual way:

$\dfrac{808299}{88}\div4590=\dfrac{808299}{88\cdot4590}=\dfrac{808299}{403920}=2\dfrac{459}{403920}=2\dfrac{1}{880}$

Finding the quotient and remainder is straightforward. Reducing the fraction involves finding common factors in the numerator and denominator. As it turns out, 459 is a factor of 403920, so the fraction reduces as shown.

Now, we need to convert 1/880 miles back to yards.

((1/880) mi) × (1760 yd/mi) = 2 yd

So, the quotient you seek is ...

2 miles 2 yards

8 0

3 years ago

When angles are complementary, the sum of their measures is 90 degrees.Two complementary angles have measures of 2x-10 degrees a

Mariana [72]

Complementary angles are those angles whose sum is 90 degree.

The measurement of two complementary angles are

$(2x-10), (3x-10)$

There sum have to be 90 degree. That is

$2x-10+3x-10 = 90$

Combining like terms ,

$5x - 20 = 90$

Moving 20 to right side

$5x=110$

Dividing both sides by 5

$x =22$

So the measurement of the angles are

$2*22-10 , 3*22-10 \\
34 degree, 56 degree$

6 0

4 years ago

Two groups of staff at a store are making flowers to decorate the entrance. If Group A were to do it alone, it would take them 1

Tcecarenko [31]

Answer:

$\dfrac{6750}{7}$

Step-by-step explanation:

Let x be the number of flowers. If Group A were to make x flowers alone, it would take them 10 hours to complete the task, then they make $\dfrac{x}{10}$ flowers in an hour. If Group B were to make x flowers alone, it would take them 15 hours to complete the task, then they make $\dfrac{x}{15}$ flowers in an hour.

The groups decided to work together. They can make $\dfrac{x}{10}+\dfrac{x}{15}=\dfrac{x}{6}$ together in an hour and it takes them $\dfrac{x}{\frac{x}{6}}=6$ hours. Group B took a break for 1 hour and 40 minutes ( $1\dfrac{2}{3}$ hour), then Group B works

$6-1\dfrac{2}{3}=4\dfrac{1}{3}$ hours.

Thus,

$\dfrac{x}{10}\cdot 6-\dfrac{x}{15}\cdot 4\dfrac{1}{3}=300,\\ \\\dfrac{3x}{5}-\dfrac{13x}{45}=300,\\ \\14x=300\cdot 45=13500,\\ \\x=\dfrac{13500}{14}=\dfrac{6750}{7}.$

6 0

3 years ago

For which mapped relation is the domain ?

Grace [21]

Answer:

Step-by-step explanation:

For any of the given functions, all of the first input values (x-values) in the relation are considered the domain values. On the other hand, the output values (y-values) are called the range values of the given equation.

The mapped relation is the domain (1, 2, 3). Since this is domain values (x-values), the correct answer will be the mapped with 1, 2, and 3 on the left side.

The correct answer is C.

Hope this helps!

7 0

2 years ago