Harriet has 3/4 tank of gas left in her car. if she needs 1/4 tank to go to her friends house and another 1/4 tank to get back home,does she have enough gas? explain your answer

Answers

Answer 1
Answer:

Harriet has enoughgas to make the trip to her friend's house and back without needing to refuel her car.

What is Fraction?

A fraction represents a part of a whole.

Given that Harriet has 3/4 tank of gas left in her car.

She needs 1/4 tank to go to her friends house and another 1/4 tank to get back home.

We need to check whether she has enough gas for her trip.

Since Harriet has 3/4 of a tank of gas left, she has 1/4 of a tank already used.

She needs another 1/4 of a tank to go to her friend's house and another 1/4 of a tank to get back home.

Altogether, she needs 1/4 + 1/4 = 1/2 of a tank for the round trip.

Hence, Harriet has enoughgas to make the trip to her friend's house and back without needing to refuel her car.

To learn more on Fractions click:

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#SPJ5

Answer 2
Answer: Ok so if you add the two 1/4's you will find how much gas she needs total to complete the trip. So do 1/4 + 1/4 and get 1/2. Next you can see that 3/4 is larger than 1/2, so she has enough gas.
Hope that helps!

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Which pair of rectangles is similar ? A 3,8 and 2,6 B 3,8 and 2,5
C 3,9 and 2,6
D 3,6 and 2,9 ?

Answers

D because they are equal the same if you do 3×6=18 and 2×9=18
They have the same area amount.
~JZ
Hope it helps

a store owner is arranging clothing on racks. She has 30 sweaters, 45 shirts and 15 pairs of jeans. She wants to put the same number of items on each rack, with only one type of item on each. How many items can she put on a rack?

Answers

I think what the teacher wants is 15  which is the greatest common factor of all three numbers and the factors of 15 are 
1 x 15 and 3 x 5 so the she can put one of each, or she can put 3 of each,
 or she can put 5 of each , or she can put 15 of each.

The problem is unclear however because as worded she could put 2 sweaters, 2 shirts and 2 pair of jeans.  I think the teacher wants all the jeans used.  The number 1,3,5 and 15 will use up all of the jeans.
1 jean on 15 racks
or 3 jeans on 5 racks
or 5 jeans on 3 racks
or 15 jeans on one rack


These are the sort of ambiguous word problems 4th graders are exposed to on a daily basis.  As the gentleman mentioned, the teacher expects 15, the largest common factor but 1 on each rack fits as well. It should have read “what’s the maximum number of the same item can he/she place on the racks?”

When the sum of an unknown number z and twenty-two is divided by the same unknown number, the quotient is twelve. What is the unknown number?

Answers

Applying the definition of quotient and creating an equation, the value of the unknown number is: z = 2.

What is Quotient?

Quotient is the result you get when two numbers are divided with each other.

Thus:

Unknown number = z

Sum of z and 22 is: z + 22

(z + 22)/z = 12 (quotient)

Solve to find the value of z

z + 22 = 12z

22 = 12z - z

22 = 11z

22/11 = z

z = 2

Therefore, applying the definition of quotient and creating an equation, the value of the unknown number is: z = 2.

Learn more about quotient on:

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(z+22)/z=12
z+22=12z
22=12z-z
22=11z
z=22/11=2

What is a over b = -2

Answers

a / b = -2

Take note:

to have a quotient with at negative sign, both a & b must have opposites signs. a can be a positive number while b is a negative number or vice versa. If both a and b have the same sign, its quotient will be a positive number.

Let us disregard the sign.
To arrive at the answer of 2, a must be twice the amount of b. meaning a = 2b.

For example: look for a if b is equal to 2.    a = 2(2) ; a = 4.
a / b = 2
4 / 2 = 2
2 = 2

Now, we consider the sign of both numbers. a can be 4 while b can be -2  OR vice versa.

a / b = -2
4 / -2 = -2    or    -4 / 2 = -2



A) Use numbers 7,5,6 and 3, only once each, to create an expression that equals 75. You may use addition, subtraction, multiplication, and/or division, but you must use parentheses. Answer: (7+5)x6+3

b) Now use the Distributive Property to write an equivalent expression without parentheses. (You may use the numbers more than once or use different digits for this part only)

Answer:

Answers

Mathematical expressions are expressions that uses at least one mathematical operator

  • The expression is \mathbf{(7+5) * 6+3}
  • The equivalent expression is: 42 + 30 + 3

(a) The expression

Only one expression fits the given description.

And the expression is (7+5)x6+3

(b) Equivalent expression of (a)

In (a), we have:

\mathbf{(7+5) * 6+3}

Distribute the expression as follows:

\mathbf{(7+5) * 6+3 = 7 * 6 + 5 * 6 + 3}

Evaluate the products

\mathbf{(7+5) * 6+3 = 42 + 30 + 3}

Hence, the equivalent expression is 42 + 30 + 3

Read more about mathematical expressions at:

brainly.com/question/20596193

6(7+5) + 3 =
42 + 30 + 3 =      <<<< This one is the equivalent expression

If you wanted to continue and solve...

72 + 3 =
75

Please help!!
What is the lateral area of the prism?

Answers

Surface area of a right prism can be calculated using this formula:
SA 5 2B 1 HP.
B is the area of the base, H is the height of the prism, P is the premier of the base.
Lateral area of a figure is the area of the non-base faces only.
Hope this helped