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2 years ago

What is the value of x? 5x+2=9x-38

Mathematics

2 answers:

prohojiy [21]2 years ago

7 0

Answer:

Step-by-step explanation:

5x+2=9x-38

-4x=-40

x=10

garri49 [273]2 years ago

5 0

2=4x-38
40=4x
x=10
so the value of x is 10

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Tommy is thinking about entering a contest at the local gas station. Some of Tommy’s

Ede4ka [16]

Answer:

(a)1 out of 4.

(b)27%

Step-by-step explanation:

Tommy’s probability of winning is given as 0.27.

(a)Ratio Form

$0.27=\frac{27}{100} =27:100\\$Divide both sides of 27:100 by 27\\This gives:\approx 1:4$

Therefore, the probability that Tommy will win is 1 out of 4.

(b)Exact Percent Value

Multiply the probability by 100 to obtain the exact percent value.

0.27 X 100=27%

(c)Probability that Tommy will not win.

Probability that Tommy will win+Probability that Tommy will not win=1

0.27+Probability that Tommy will not win=1

Probability that Tommy will not win=1-0.27

Probability that Tommy will not win=0.73

5 0

3 years ago

Lisa's dog has 4 squeaky toys. Two thirds of the dog's toys are squeaky toys. How many dog toys does Lisa's have in all?

viva [34]

. Lisa's dog has 4 squeaky toys
. the squeaky toys are 2/3 of all the dog's toys

. let x be number of all dog toys

make an equation
(2/3)x = 4 ← solve
x=6

check
2/3 × 6 = 4

Lisa's Dog has 6 toys in all

3 0

2 years ago

ANSWER FAST ITS URGENT

Vlad1618 [11]

Answer:

9) 6.3 units

11) n=6√2 and m=12,

10) m=6√3, n=6

12) 330.6 ft

Step-by-step explanation:

1) The Pythagoras Theorem says that, the square of the hypotenuse is the sum of the squares of the two shorter legs.

Let the missing side, which is the hypotenuse be x.

Then

${x}^{2} = {2}^{2} + {6}^{2}$

${x}^{2} = 4 + 36$

${x}^{2} = 40$

$x = \sqrt{40}$

$x = 6.3$

The missing side is 6.3 units to the nearest tenth.

2) This is an isosceles right triangle.

This implies that, the two legs are equal.

$n = 6 \sqrt{2}$

The hypotenuse can be found using Pythagoras Theorem.

${m}^{2} = {(6 \sqrt{2} )}^{2} + {(6 \sqrt{2} )}^{2}$

${m}^{2} = 36(4)$

$m = \sqrt{36 \times 4} = 6 \times 2 = 12$

3) The side lengths of 30°-60°-90° are in the ratio, 2x,x√3,x

From the diagram, the hypotenuse is 12, therefore the other two legs are

$n = \frac{1}{2} (12) = 6$

and

$m = 6 \sqrt{3}$

4) The height of the monument is 115 feet, the hypotenuse is 350.

By Pythagoras Theorem,

${x}^{2} + {115}^{2} = {350}^{2}$

${x}^{2} = {350}^{2} - {115}^{2}$

${x}^{2} = 109275$

$x = \sqrt{109275} = 330.6 ft$

3 0

3 years ago

determine whether each set of side lengths could be the sides of a right triangle Drag and drop each set of side lengths to the

sasho [114]

"8 in., 15 in., 17 in." is a right triangle and "4 in., 15 in., 17 in." is not a right triangle. Hope this helps!

4 0

3 years ago

Read 2 more answers

A baker makes apple tarts and apple pies each day. Each tart, t, requires 1 apple, and each pie, p, requires 8 apples. The baker

Lynna [10]

For this case, the first thing we must do is define variables.
We have then:
t: number of tarts
p: number of pies
We now write the system of equations:
Each tart, t, requires 1 apple, and each pie, p, requires 8 apples. The baker receives a shipment of 184 apples every day:
8p + t ≤ 184
the baker makes no more than 40 tarts per day:
t ≤ 40
Answer:
A system of inequalities that can be used to find the possible number of pies and tarts the baker can make is:
D. t ≤ 40
8p + t ≤ 184

5 0

3 years ago

Read 2 more answers