Ali and Tibor get paid $9 per hour. This week, Tibor made an additional $27 in overtime.a). Write and expression that represents the weekly wages of Ali and Tibor. Let a represents the number of hours Ali worked this week and let t represent the number of hours Tibor worked this week.

b). Can you write the expression in another way? If so, give an example. Justify your answer.

Answers

Answer 1

Answer: 9a + (9t+27)=x

To write it another way you could flip the numbers around:

(9t+27)+9a=x

Or flip the variable to the other side.

x=9a + (9t+27)

Any way you put the numbers as long as x is on the either side, you will get the same answer.

Hope this helps!

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A delivery truck with a 400-pound weight limit is transporting televisions & microwaves. Define variables & write an inequality for this situation. Will the truck be able to deliver 35 televisions & 25 microwaves at once? Write two possible solutions to the inequality. Are there solutions that make the inequality mathematically true, but are not reasonable in the context of the problem? Explain.

Answers

So the inequality would be 77x+55y≤4000. x is the number of TV's and y is the number of microwaves. For the second part plug in 35 for x and 25 for y. So you get 77×35+55×25≤4000.
2625+1375≤4000
4000=4000 so the answer to that part is yes.
One unreasonable solution is (0,0) (TV's,microwaves) because that would mean the truck is empty. Another one is (1,71) because that would be only one TV and 71 microwaves.

Steve has a credit account with his local coffee shop. He gets a large coffee every day and a debit of $1.99 is applied to his account. He now owes a total of $11.94. Write a numeric equation using negatives to show the number of days it has been since he last paid his bill.

Answers

Answer:

Therefore a numeric equation using negatives can be written as

-11.94 = -1.94x $\therefore x = (-11.94)/(-1.99) = 6\hspace{0.1cm}days$

Step-by-step explanation:

i) Amount owed by Steve = $11.94

ii) For every large coffee Steve has a debit of $1.99 applied to his account

iii) Let x be the number of days it has been since Steve last paid his bill.

therefore a numeric equation using negatives can be written as

-11.94 = -1.94x $\therefore x = (-11.94)/(-1.99) = 6\hspace{0.1cm}days$ .

The manager of a company recorded the number of hourse his employees worked during each two weeks. The following statistics were calculated.Week 1: the mean was 35 hourse with a standard deviation of 1.5 hours.

Week 2: The mean was 40 hourse with a standrad deviation of 2.0 hours.

The manager concluded that there was more variation in the number of hours worked for week 2 that for week 1. The manager's conclusion was-?

Answers

It may have been busy so more staff were needed for a longer period of time.

Write the number in expanded form 742

Answers

700+40+2 is expanded form

700+40+2
^^
expanded form

Polygon ABCD is plotted on a coordinate plane.If the polygon translates 3 units to the left and 1 unit down,the length of diagonal A’C’ is __ units ( 2,3or 6) if the polygon translates 3 units further to the left and four units down, the length of diagonal A’C’ ( increases,decreases or remains the same

Answers

Length of diagonal A'C' will be 2 units and it will remain the same even after multiple translations.

Length of a segment joining two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the expression,

Length between two points = $√((x_2-x_1)^2+(y_2-y_1)^2)$

Therefore, length of diagonal AC joining points A(3, 4) and C(3, 2) will be,

AC = $√((3-3)^2+(4-2)^2)$

= 2 units

If the polygon ABCD is shifted left, right, up and down, translations done will be the rigid transformations showing no change in shape and size of the polygon.

Therefore, length of diagonal A'C' will be 2 units and it will remain the same when the polygon is translated.

Learn more,

brainly.com/question/1761538

The length of the diagonal will be 2.

When a translation is performed on a shaped, it simply moves location. The size and shape of the object do not change. Therefore, the length of AC will remain the same at all times.

Which fractions are equivalent to -1/5 ?

Choose all answers that are correct.

Answers

ok so remember
negative/negative=positive
positive/positive=positive
positive/negative=negative
negative/positive=neative

we have

which are equalivilent to -1/5
negative/positive=negative
we want 2 different signs on top and bottom aka the fraction is negative

cross out -4/-20

ok so a property of equal fractions are
if a/b=c/d, then (a*d)/(b*c)=1
ie
if 1/2=4/8, then 1/2 times 8/4=8/8=1 so

-1/5 times -25/5=25/25=1
they are equal

-1/5 times 10/-2=-10/-10=1
they are equal

-1/5 times 25/-10=-25/-50=1/2,
noe equall

5/-25 and -2/10 are equal

Your answer is 5/-25 and -2/10 because -1/5 is -0.2 and 5/-25 gives you -0.2 and -2/10 also gives you -0.2 but you also have -10/25 which gives you 0.4 therefor your answer would be 5/-25 and -2/10

hope this helped

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