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natita [175]
2 years ago
9

Latisha works x hours each day. Demetrius works 1 more hour each day than Latisha.

Mathematics
1 answer:
snow_tiger [21]2 years ago
3 0

The expressions that can be used to calculate both numbers of hours Demetrius works in 5-day work week is 5(x + 1)  and 5x + 5

We are being told that Latisha works x hours each day and Demetrius works 1 more hour each day than Latisha.

So,

  • Let the amount of works done by Latisha be = x
  • Then, the amount of works done by Demetrius will be = x + 1

Thus, the both expression that can determine the number of hours Demetrius works in five days is:

= 5(x + 1)  and 5x + 5

This is because if we open the bracket from 5(x+1) and multiply each term in the bracket with 5, we end up having 5x + 5.

  • 5 times open paren x plus 1 close paren and 5 x plus 5 is correct.

Learn more about word problems here:

brainly.com/question/2610134?referrer=searchResults

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Neporo4naja [7]

Answer:

a) Option A is correct.

b) Option C is correct.

Step-by-step explanation:

a) Which of the following is the equation of  the line passing through the points (1, 1)  and (-3,5)?

We will use the equation

(y-y₁)=m(x-x₁)

m= (y₂-y₁)/(x₂-x₁)

m= (5-1)/(-3-1)

m= 4/-4

m= -1

Consider point (1,1) and Putting value of m

(y-y₁)=m(x-x₁)

(y-1)=1(x-1)

y-1=x-1

y=x-1+1

y=x

So, Option A is correct.

b) Which of the following is the equation of a  line with a slope of 0 passing through (2,5)?

The formula used is:

y= mx+b

Finding b:

5=0(2)+b

=> b = 5

So, equation is:

y = mx+b

y=0x+5

y=5

So, Option C is correct.

5 0
3 years ago
Every day you eat 1/4 cup of cereal. Your brother eats 5 times as much. How many cups of cereal does your brother eat?
soldier1979 [14.2K]

Answer:

5/4 cups, or 1&1/4 cups

Step-by-step explanation:

You eat 1/4 cups of cereal, and your brother eats 5 times as much. You eat 1 fourth of 1 cup, and he eats 5 times 1 fourth of 1 cup. 1 times 5 is 5, which means he eats 5 fourths of 1 cup of cereal. Since he eats 5 fourths of 1 cup, and four fourths make a 1, he eats 1 cup of cereal, plus another fourth of a cup. Your brother eats 1 and 1 fourth cups of cereal.

1 / 4 x 5 =  ( 1 x 5 ) / 4

5 / 4 = ( 4 / 4 ) + ( 1 / 4 )

1 + ( 1 / 4 ) or 1 & ( 1 / 4 )

3 0
4 years ago
Read 2 more answers
A jar contains 2 sugar cookies, 5 peanut butter cookies, and 3 chocolate chip cookies.What is the probability of randomly choosi
solniwko [45]

You would have 2/10 chance of choosing the sugar cookie then after you chosen it 5/9 chance of picking up a peanut butter cookie. I hope this helps

4 0
4 years ago
Read 2 more answers
Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form.
MrRa [10]

Answer:

geometric sequence; common ratio: 2

Step-by-step explanation:

because you would have to multiply a number to get to the next and the next number in line, this is geometric. The common ratio is 2 because each time the number increases you multiplying by two

6 0
2 years ago
Jay wants to buy a book for $8.00. The sales tax is 6%. How much will Jay pay for the book including tax?
Marrrta [24]

Answer: $8.48

Step-by-step explanation: 8x.06 = .48 +8 = $8.48

5 0
3 years ago
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