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damaskus [11]
3 years ago
12

80 decreased by 3 times a number is the same as 5 times the number increased by 8 find the number.

Mathematics
1 answer:
faltersainse [42]3 years ago
4 0

Answer:

The number is 5.

Step-by-step explanation:

Let the number be $ x $.

Given $ 80 $ is decreased $ 3 $ times $ x $.

$ \implies 80 - 3x $

$ 5 $ times the number increased by $ 8 $.

$ 5(x + 8) $

This means:

$ 8 - 3x = 5(x + 8) $

$ \implies 8x = 40 $

$ \implies x = 5 $

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Which point does the line with equation y+4=3(x-7) pass through?
gregori [183]
<span>y+4=3(x-7)
y + 4 = 3x - 21
y = 3x - 21 -4
y = 3x - 25

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y = 3(7) - 25
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5 0
3 years ago
The equation x 2 + 10 x + 25 = 0 has one solution.
Natalija [7]

Answer:

Yes

Step-by-step explanation:

X2+10x+25=0

So let's solve

10=5,5

25=5,5

So let's continue

X2+5x+5x+25

Let's factorise

X(x+5)+5(x+5)=0

(X+5)(x+5)=0

So

X+5=0

Substrate 5 from both sides

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So the answer is yes

4 0
3 years ago
A ticketholder on the merry-go-round is riding a horse that is at a radius of 12 feet. How far does she travel after the merry-g
OLEGan [10]

The correct value of the angle of rotation is 3π/5

Answer:

Distance travelled ≈ 22.6 ft

Step-by-step explanation:

We are given;

Radius;r = 12 ft

Angle of rotation; θ = 3π/5

The formula for calculating distance travelled is;

Distance travelled = rθ

So, plugging in the relevant values;

Distance travelled = 12 x 3π/5

Distance travelled ≈ 22.6 ft

3 0
3 years ago
A bag contains seven tiles labeled B, C, D, E, F, G, and H. One tile will be randomly picked. What is the probability of picking
Licemer1 [7]

Answer:

\sf \dfrac{1}{7}

Step-by-step explanation:

Given labeled tiles: B, C, D, E, F, G, H

Total number of tiles = 7

Vowels = A, E, I, O and U

⇒ Total number of vowel tiles in bag = 1

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

\implies \sf Probability\:of\:picking\:a\:vowel= \dfrac{Number\:of\:vowel\:tiles}{Total\:number\:of\:tiles}=\dfrac{1}{7}

7 0
3 years ago
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