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amid [387]
3 years ago
7

Many mechanics advised people not to drive their cars more than 5,000 miles between oil changes kaci has driven her car 3450 mil

es since the last oil change write and solve an inequality to find out how many more miles she might drive before having her oil changed again
Mathematics
1 answer:
Verizon [17]3 years ago
5 0

Answer:

See explanation!

Step-by-step explanation:

We know that the maximum miles allowed before oil change is 5,000miles (<u>thus Kaci can drive less or up to 5,000 miles but not more</u>).

Kaci has already driven 3,450miles since last oil change.

Inequalities are typically employed to show a relating or comparative relationship between expressions and can be identified by the sybolism of less, more or/and equal to (i.e. , > , \leq, \geq ).

Let us denote the miles Kaci can drive before oil changing again by x, then we can write the following inequality:

3450+x\leq 5000

solving for the remaining miles x allowed

3450+x\leq 5000\\x\leq 5000-3450\\x\leq 1550

Thus Kaci can drive up to and including 1550 miles before chaging car oil again.

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Dennis is cutting construction paper into rectangles for a project he needs to cut one rectangle that is 12 inches times 15 1/4
Nataly_w [17]

Answer:

Dennis need 288.91 square inches of construction paper for his project.

Step-by-step explanation:

Dennis is cutting construction paper into rectangles for a project.

He needs to cut one rectangle that is 12 inches times 15 1/4 inches

First convert the mixed fraction to improper fraction

15\frac{1}{4} = \frac{(15\times4) + 1}{4} = \frac{61}{4}

So the area of 1st rectangle is

A_1 = 12\times \frac{61}{4} = 183 \: in^{2}

He needs to cut another rectangle that is 10 1/3"" x 10 1/4""

The symbol " means inches

First convert the mixed fraction to improper fraction

10\frac{1}{3} = \frac{(10\times3) + 1}{3} = \frac{31}{3}

10\frac{1}{4} = \frac{(10\times4) + 1}{4} = \frac{41}{4}

So the area of 2nd rectangle is

A_2 = \frac{31}{3}\times \frac{41}{4} = 105.91 \: in^{2}

The total construction paper needed for this project is

A = A_1 + A_2\\\\A = 183 + 105.91\\\\A = 288.91 \: in^{2}

Therefore, Dennis need 288.91 square inches of construction paper for his project.

6 0
3 years ago
Donata bought 4 lemons and 4 plums at the local supermarket for a total of $ 21.60. Dan bought 11 lemons and 6 plums at the same
VashaNatasha [74]
  1. you must establish a equation system  with the information given , 4x numbers of limon , where x represent the cost of every lemon and 4y numbers of plums , where y represents the cost of plums
  2. now  the equation system is 1) 4x+ 4y = 21,60 and 2) 11x+ 6y = 40.29
  3. of the equation 1 you must obtain the value of x, 4x = 21.60+4y ⇒x=21.60/4+4y/4⇒x= 5.4+y
  4. now with the value of x , it is substitute in the equation 2)   11(5.4+y) + 6y = 40.29 , ⇒ 59.4 + 11y + 6y = 40.29 ⇒  17y = 40.29-59.4⇒ y = -19,11/7⇒ y = -2.73
  5. the value of y is substitute in the equation 1) x = 5.4 + ( -2,73)⇒ x= 2,67,  where ,the price of every lemon is $ 2,67
6 0
3 years ago
It takes a new mail carrier 4 hours to deliver the mail on route a. It takes an experienced mail carrier 3 hours to do the same
Pani-rosa [81]

Answer: \frac{12}{7}\ \text{hours}

Step-by-step explanation:

Given

New mail carrier takes 4 hours for delivery i.e.

New mail carrier completes \frac{1}{4} part of work in 1 hour

Old mail carrier takes 3 hours for delivery  i.e.

mail carrier completes \frac{1}{3}  part of work in 1 hour

If they work together, they complete the work in x hours i.e.

\Rightarrow \dfrac{1}{x}=\dfrac{1}{4}+\dfrac{1}{3}\\\Rightarrow \dfrac{1}{x}=\dfrac{3+4}{12}\\\Rightarrow x=\dfrac{12}{7}\ \text{hours}

4 0
3 years ago
Gayle installed a rectangular section of hardwood flooring measuring 12 ft by 12 ft in her family room. She plans on increasing
icang [17]

The ansa is 256=(12+x)(12+x)

6 0
2 years ago
Please help me asap.<br>Explain by showing please.
quester [9]
I'm sorry I would help but I'm going to have to say b sorry for not being able to show
3 0
3 years ago
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