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3 years ago

A number is divided by 5, then added to 18. The answer is 9 less than 62. What is the original number?

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

4 0

Answer: The original number is 175

Step-by-step explanation:

The number will be represent by x .

The number is being divided by 5 so we can represent by the expression x/5.

After than is being added to 18 so we will add 18 to the expression.

x/5 + 18 .

It has to equal to 9 less than 62 and 9 less than 62 is the same as the expression 62 -9.

Whole equation will be x/5 + 18 = 62 - 9

$\frac{x}{5}$ + 18 = 62 - 9 Combine like terms on the right side

x/5 + 18 = 53 Subtract 18 from both sides

-18 -18

x/5 = 35 Multiply both side by 5.

x = 175

This means the original number is 175.

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3 years ago

What’s the answer for this question that’s in the picture below

Annette [7]

The answer is 140.

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2 years ago

Use the Venn diagram to calculate probabilities

Shkiper50 [21]

From the Venn diagram, we can gather that there are 35 total objects (6 in both A and B; 15 in A but not B; 10 in B but not A; and 4 in neither A nor B), and we have the probabilities

$\mathbb P(A\cap B)=\dfrac6{35}$

$\mathbb P(A)=\dfrac{15+6}{35}=\dfrac{21}{35}=\dfrac35$ (this is the answer)

$\mathbb P(B)=\dfrac{10+6}{35}=\dfrac{16}{35}$

By definition of conditional probability,

$P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{\frac6{35}}{\frac{16}{35}}=\dfrac6{16}=\dfrac38$

$P(B\mid A)=\dfrac{P(B\cap A)}{P(A)}=\dfrac{\frac6{35}}{\frac{21}{35}}=\dfrac6{21}=\dfrac27$

8 0

3 years ago

Read 2 more answers

Help please also dont put links:(

Zepler [3.9K]

Answer: $61.50

Step-by-step explanation:

To do this you need to first find 18% of 75 which is 13.5 or $13.50 and then subtract that from the original price being $75 and you get $61.50

HOPE THIS HELPS ^^

3 0

2 years ago

Read 2 more answers

Please help if so thank you And explain

Naddika [18.5K]

Answer:

x = 34°

Step-by-step explanation:

Given AC and BD are perpendicular bisectors, we can say that at point E, there are 4 right angles [perpendicular bisectors intersect to create 4 90 degree angles].

Now, if we look at the triangle AED, we know that it is a right triangle, meaning that angle E is a right angle.

Also,

We know sum of 3 angles in a triangle is 180 degrees. Thus, we can write:

∠A + ∠E + ∠D = 180

<em>Note: Angle A and Angle D are just the half part of the diagram. More exactly we can write:</em>

∠EAD + ∠ADE + ∠DEA = 180

Given,

∠EAD = 56

∠DEA = 90

We now solve:

∠EAD + ∠ADE + ∠DEA = 180

56 + ∠ADE + 90 = 180

146 + ∠ADE = 180

146 + x = 180

x = 180 - 146

x = 34°

4 0

3 years ago