If an angle is acute, an angle supplementary to it is (always,sometimes, or never) acute

Answers

Answer 1

Answer: suplementary is adding up to 180
acute means less than 90
so angle less than 90+something=180
is this something always, sometimes never acute
so
less than 90+less than 90=less than 180

so never

Answer 2

Answer: Never, because it would have to be over 90° to be supplementary

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What is the solution to the equation-4x - 14 = 6?

Answers

Answer:

x=-5

Step-by-step explanation:

-4x - 14 = 6

Add 14 to each side

-4x - 14+14 = 6+14

-4x = 20

Divide each side by -4

-4x/-4 = 20/-4

x = -5

When dividing 878 by 31, a student finds a quotient of 28 with a remainder of 11. Check the students work, and use the check to find the error in the solution

Answers

There is an error in the student's work, the remainder should be 10

Further explanation

The division operation is one of the basic arithmetic operations

Common signs used are $\large{\boxed{:}}}$ or $\large{\boxed{\slash}}$

The division is written by placing the numerator above the denominator with a horizontal line between them or use a slash with the numerator's position and the denominator is parallel

The division is actually an iterative subtraction operation (as many as the number of divisors)

Division is the opposite of multiplying

The general form of division can be stated by:

$\large{\boxed{\bold{divident:divisor=quotient+remainder}}$

example:

7: 3 = 2 + 1

7 = dividend
3 = divisor
2 = quotient
1 = remainder

Division operation statement:

"7 divided by 3 equals 2 remainder 1"

The form of division can also be expressed in terms of fractions

In the example above, the form of mixed fractions :

$\displaystyle (7)/(3) =2(1)/(3)$

Mixed fractions consist of whole number and proper fractions

From the task

(see also the attached image)

When dividing 878 by 31, a student finds a quotient of 28 with a remainder of 11.

Division operation statement:

"878 divided by 31 equals 28 remainder 11

Arithmetic operations :

878 : 31 = 28 + 11

878 = dividend
31 = divisor
28 = quotient
11 = remainder

Because Division is the opposite of multiplying, so we check the solution with multiplying

divident - (divisor x quotient) = remainder

878 - (31 x 28) = 11

878 - 868 = 11

10 ≠ 11

So students make mistakes in subtraction operations,remainder should be 10

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Keywords: division, mixed fraction, dividend , divisor , quotient, remainder

878/3 is 28 with a remainder of 10! The error is when they subtracted 258-248 wrong

70.443+4.885*2.6-16 rounded to the nearest interger

Answers

you use PEMDAS

4.885*2.6=12.701

12.701+70.443=83.144

83.144-16=67.144

and now you can round since the decimal is smaller than 0.500 you round down getting the answer of 67

What is the unit rate of 600 miles in 7 hours ?

Answers

The unit rate of 600 miles in 7 hours is 85.71 miles per hour.

Given that, distance= 600 miles and time= 7 hours.

What is the unit rate?

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

Here unit rate is

Speed =Distance/Time

= 600/7

= 85.71 miles per hour

Therefore, the unit rate of 600 miles in 7 hours is 85.71 miles per hour.

To learn more about the unit rate visit:

brainly.com/question/11258929.

#SPJ5

85.7 miles per hour. divide 600 by 7 to get a one hour rate

A six-sided number cube with faces numbered 1, 2, 3, 4, 5, and 6 is rolled. Which events are mutually exclusive? A. rolling a 4, rolling a prime number

B. rolling a 3, rolling a prime number

C.rolling a 2, rolling an even number

D. rolling a 5, rolling an odd number

Answers

The answer is A.

Mutually exclusive means something that can't happen at the same time.

You can't roll a 4 and say you got a prime number. So A is your answer.

B is wrong because if you roll a 3, you are also rolling a prime number.

C is wrong because if you roll a 2, you are also rolling an even number.

D is wrong because if you roll a 5, you are also rolling an odd number.

Hey there I see you need help well I am here to do just that the answer is

A. because mutually exclusive events are not possible so you cant roll a 4 and have it be a prime number

hope this helps

when n basketball uniforms are purchased , the cost , C , of each uniforms is given by the equation C=40n+260/n. if the cost of each uniform was $60 , how many uniforms were purchased?

Answers

Answer: 13 uniforms.

Step-by-step explanation: To solve the given problem we need to calculate the number of basketball uniforms that were purchased if the cost of each uniform was $60, using the given equation:

C= $C=(40n-260)/(n)$

substituting C=60:

$60=(40n+260)/(n)$

multiplying both sides by n:

60n=40n+260

60n-40n=260

20n=260

n=260/20

n=13.

13 uniforms were purchased.

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