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4 years ago

10

Four times a number minus 5 is equal to 3 times the number plus 3

1 answer:

PolarNik [594]4 years ago

5 0

4•x-5=3•x+3
Hope this helped you out.

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True or false: the arrows on the opposite side of a parallelogram show that the sides are congruent

Soloha48 [4]

Answer:

false

Step-by-step explanation:

6 0

3 years ago

PLEASE HELP 20 POINTS!

sergey [27]

Answer:

20/132

Step-by-step explanation:

There is a 5/12 chance of event A happening, Event B has a 4/11 chance happening so you multiply the chances together and get 20/132

8 0

3 years ago

At a car dealership yesterday, the ratio of trucks sold to cars sold was 5.6. If the dealership sold 30 cars, how many trucks we

aleksley [76]

Answer:

25

Step-by-step explanation:

ratio 5:6

$\frac{5}{6} = \frac{x}{30}$

6x = 5(30)

6x = 150

x = 25

3 0

3 years ago

Priya has planted a garden shaped like a right triangle. She knows that one leg of the triangle is 11 meters long and that the a

olga55 [171]

Answer:

She will need 41.22 meters.

Step-by-step explanation:

She knows that one leg of the triangle is 11 meters long and that the angle formed by that leg and the hypotenuse is 50 degrees .

The leg is adjacent to the hypothenuse. We know that the cosine of an angle $\theta$ is given by:

$\cos{\theta} = \frac{l}{h}$

In which l is the length of the adjacent side and h is the hypothenuse.

Considering that we have $\theta = 50, l = 11$ , we can find the hypothenuse.

Looking at a calculator, the cosine of 50 degrees is 0.6428.

So

$0.6428 = \frac{11}{h}$

$0.6428h = 11$

$h = \frac{11}{0.6428}$

$h = 17.11$

The other leg:

In a right triangle, with legs $l_1$ and $l_2$ , and hypothenuse h, the pythagorean theorem states that:

$l_1^2 + l_2^2 = h^2$

We already have one of the legs and the hypothenuse, so:

$11^2 + l^2 = 17.11^2$

$l^2 = 17.11^2 - 11^2$

$l = \sqrt{17.11^2 - 11^2}$

$l = 13.11$

How many meters will she need?

This is the perimeter of the garden, which is the sum of its dimensions, of 11 meters, 13.11 meters and 17.11 meters. So

$P = 11 + 13.11 + 17.11 = 41.22$

She will need 41.22 meters.

4 0

3 years ago

Solve x and give our answer as a improper fraction in its simplest form:

Diano4ka-milaya [45]

Hello!

Explanation:

Distributive property: → a(b+c)=ab+ac

Expand.

$6(x-9)=6x-54$

$6x-54=3x+2$

First, add by 54 from both sides of an equation.

$6x-54+54=3x+2+54$

Then, simplify by equation.

$6x=3x+56$

You can also subtract by 3x from both sides of an equation.

$6x-3x=3x+56-3x$

Simplify.

$3x=56$

Next, divide by 3 from both sides of an equation.

$\frac{3x}{3}=\frac{56}{3}$

Answer: → $\boxed{x=56/3}$ and $x=18.6=19.0$

Hope this helps!

Have a great day!

-Charlie

7 0

4 years ago