A number increased by 5 and then divided by 7 is 12.

Answers

Answer 1
Answer:

Answer:

26

Step-by-step explanation:

hope it helped !! :))


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Emily has 12 fruits in her bowl. She has 3 apples, 5 bananas, 1 pear and 3 oranges. A fruit is selected at random. What is the probability that the fruit is an orange or a pear? A. 56 B. 23 C. 12 D. 13

Answers

Answer: The probability that the fruit is an orange or a pear is (1)/(3) .

Step-by-step explanation:

Given : Emily has 12 fruits in her bowl.

She has 3 apples, 5 bananas, 1 pear and 3 oranges.

A fruit is selected at random.

P(orange)  = \frac{\text{Number of oranges}}{\text{Total fruits}}

=(3)/(12)

P(pear)= \frac{\text{Number of pears}}{\text{Total fruits}}

=(1)/(12)

Since both events of selecting orange and pear are mutually exclusive , so

The probability that the fruit is an orange or a pear = P(orange) + P(pear)

=(3)/(12)+(1)/(12)=(4)/(12)=(1)/(3)

Therefore , the probability that the fruit is an orange or a pear is (1)/(3) .

The radius of a circle is 2 feet. What is the length of a 135° arc?

Answers

Answer: length of arc = 4.71 feet

Step-by-step explanation:

An arc is a portion of the circumference of a circle. The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Radius, r = 2 feet

θ = 135 degrees

Therefore,

Length of arc = 135/360 × 2 × 3.14 × 2 = 4.71 feet

Answer:

3​/2

Step-by-step explanation:

The sides of a square are three to the power of two sevenths inches long. What is the area of the square?nine to the power of four sevenths square inches
three to the power of four sevenths square inches
three to the power of the fraction four over forty nine square inches
nine to the power of the fraction four over forty nine square inches
I say its B ( 2nd one )

Answers

we know that

Area of the square=x^(2)

where

x is the length side of the square


in this problem

x=3^{(2)/(7)} in

so

Area=(3^{(2)/(7)})^(2)  \n Area=3^{((2*2))/(7)}  \n Area=3^{(4)/(7)}in²


therefore


the answer is the option

three to the power of four sevenths square inches


The area is (3^{2/7} )^2[/tex], or 

Melissa, of Melissa's Lawn and Landscaping Service, needs to replace her mowers.She has ordered four new gas mowers, at $499 each, and a negotiated Trade
Discount Rate of 9%, with terms of 2/10 EOM, and FOB Shipping Point. The
seller has agreed to prepay the shipping charge of $80, which is not included in the
invoice amount. The invoice from the manufacturer is dated July 26.
Determine:
A)
By what date does Melissa have to pay in order to be able to take the cash
discount?
B)
What is the payment amount assuming that Melissa pays before the end of
the discount period?

Answers

Answer:

A) 10th of August

B) $1780.03

Step-by-step explanation:

A) From the payment terms of 2/10 EOM, Melissa is to receive a 2% discount if she pays within 10 days from the end of the month

From the date on the invoice, July 26, the date at which Melissa has to pay to take the cash discount is before the 10th of August

B) The payment amount will be 2% off the original payment amount

The total cost of the four new gas mowers less the trade discount = 499 × 4 × (100 - 9)/100 =$1816.36

The 2% discount will then be $1816.36 × (100 - 2)/100 = $1780.03

The payment amount assuming Melissa pays before the end of the discount period = $1780.03.

Which expression is equivalent to 7/12(24 - 12m) - 1/3(21m + 27)? 5
7m+2
-14m+5
-14m+23

Answers

The requried simplified equivalent expression to the given expression is -14m+5. Option C is correct.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= 7/12(24 - 12m) - 1/3(21m + 27)

Simplifying the above expression,
= 14 - 7m - (7m + 9)
= 14 - 9 -7m -7m
= 5 - 14m or -14m + 5

Thus, the requried simplified equivalent expression to the given expression is -14m+5. Option C is correct.

Learn more about simplification here:

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⁷/₁₂(-12m + 24) - ¹/₃(21m + 27)
⁷/₁₂(-12m) + ⁷/₁₂(24) - ¹/₃(21m) - ¹/₃(27)
-7m + 14 - 7m - 9
-7m - 7m + 14 - 9
-14m - 5

M is between L and N. LM= 7x -1 MN = 2x 4, and LN =12. Find the value of x an determine if M is a bisector

Answers

The value of x for the given line segment LN is 1.

What is a line segment?

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given,

Line segment LN

LN = 12

Line segment LN has two parts LM and MN

LM = 7x

MN = 2x +4

So,

LN = LM + MN

12 = 7x + 2x +4

9x +4 = 12

9x = 9

x = 1

Hence, The value of x for the given line segment LN is 1.

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