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3 years ago

X/5 + 3 = 9 solve equation

Mathematics

1 answer:

Delicious77 [7]3 years ago

3 0

Answer:

X= 15

Step-by-step explanation:

multiply 5 on x/5 and 9

divide 3 and 45

x=15

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On a town map, each unit of the coordinate plane represents 1 mile. Three branches of a bank are located at A(−3, 1), B(3, 3), a

Andrei [34K]

Answer:

The minimum total distance the employee may have driven before getting stuck in traffic is 8.3 miles

Step-by-step explanation:

* Lets explain how to solve the problem

- The rule of the distance between to points $(x_{1},y_{1})$

and $(x_{2},y_{2})$ i s $d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

- So at first we will find the distance between the three points

∵ A = (-3 , 1) , B = (3 , 3) , C = (3 , -1)

- By using the rule of distance

∴ $AB=\sqrt{(3--3)^{2}+(3-1)^{2}}=\sqrt{36+4}=\sqrt{40}=6.325$

∴ $BC=\sqrt{(3-3)^{2}+(-1-3)^{2}}=\sqrt{0+16}=4$

∴ $AC=\sqrt{(3--3)^{2}+(-1-1)^{2}}=\sqrt{36+4}=\sqrt{40}=6.325$

∵ Each unit coordinate plane represents 1 mile

∵ AB = 6.3 units

∴ The distance between branches A and B = 6.325 miles

∵ BC = 4 units

∴ The distance between branches B and C = 4 miles

∵ AC = 6.3 units

∴ The distance between branches A and C = 6.325 miles

- A bank employee drives from Branch A to Branch B and then

drives halfway to Branch C before getting stuck in traffic

∵ The distance from branch A to branch B is 6.325 miles

∵ The distance from branch B to branch C is 4 miles

∵ The half way from branch B to branch C = 1/2 × 4 = 2 miles

∴ The distance the employee may have driven before getting

stuck in traffic = 6.325 + 2 = 8.325 miles

∴ The minimum total distance the employee may have driven

before getting stuck in traffic is 8.3 miles

8 0

3 years ago

Simplify the decimal 15.1851851852

luda_lava [24]

The answer is to the thousands 15.185 to the hundredth is 15.19

6 0

3 years ago

Read 2 more answers

A clothing store sold three times as many shirts as pants. The difference in the sales was 800. How many of each were sold?

Salsk061 [2.6K]

Answer:

1200 shirts were sold.

400 pants were sold.

Step-by-step explanation:

The ratio of shirts to pants sold = 3:1 (difference of 2)

800 ÷ 2 = 400

Ratio x 400 = 1200:400 (difference of 800)

4 0

3 years ago

-0.258 as a fraction

jeyben [28]

It is -129/500
I hope this is the answer you are looking for

5 0

3 years ago

Read 2 more answers

A store sells televisions for $360 and video cassette recorders for $270. At the beginning of the week its entire stock is worth

kaheart [24]

Answer:

The number of Television at the beginning was 90

The number of video cassette recorders at the beginning was 89

Step-by-step explanation:

Selling Price of 1 Television =$360.

Selling Price of 1 video cassette recorders for $270.

Let the number of Television at the beginning=x

Let the number of video cassette recorders at the beginning =y

Opening Stock =$56,430.

Therefore:

360x+270y=$56,430.

It sells three quarters of the televisions and one third of the video cassette recorders for a total of $32,310.

$\frac{3}{4}(360)x+\frac{1}{3}(270)y= \$32,310$

270x+90y=32310

We then solve the two equations to obtain x and y.

360x+270y=$56,430. (Multiply by 270)
270x+90y=32310 (Multiply by 360)

97200x+72900y=15236100

97200x+32400y=11631600

Subtract

40500y=3604500

y=89

Substitute y=89 into 270x+90y=32310 to obtain x

270x+90(89)=32310

270x=32310-8010=24300

x=90

Therefore:

The number of Television at the beginning was 90

The number of video cassette recorders at the beginning was 89

8 0

3 years ago

Read 2 more answers