Giulia runs an average of 15 minutes each day. She has a goal of running 100 minutes in seven days. Well she complete her running goal in seven days ? explain to a friend

Answers

Answer 1
Answer: Yes. If she runs 15 minutes everyday she'll reach her goal. In seven days she'll have 105 minutes total. :)
Answer 2
Answer: Yes, she will complete her running goal. 15 miles each day for 7 days is 105 miles, 5 more than her original goal.

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Triangle XYZ is translated 4 units up and 3 units left to yield ΔX'Y'Z'. What is the distance between any two corresponding points on ΔXYZ and ΔX'Y'Z′? A. units B. 5 units C. 7 units D. 25 units

Answers

Answer:

option B. 5 units.

Step-by-step explanation:

If a Δ XYZ is translated 4 units up and 3 units left to yield X'Y'Z'.

If we consider one vertex  X (x, y) of the triangle XYZ then after translation X will form new vertex as

x' (x-3, y-4)

Then we have to find the distance between x and x' after translation.

In the figure attached we have to find the distance a.

a² = 3² + 4² ( By Pythagoras Theorem)

a² = 9 + 16

a = √25 = 5 units

Therefore, answer will be option B. 5 units.

The answer is B- 5 units

LOOK AT THE PICTURE I NEED THIS DONE ASAP PLEASE HELP ME!!!

Answers

I got 224. 7(4)^2 = 112 •2 =224

Twelve boys collected 16 aluminum cans each. Fifteen girls collected 14 aluminum cans each. How many more cans did the girls collect than boys?

Answers

The girls collected 18 more cans.

you need to find the total cans collected by boys and girls. To do this you multiply 16 and 12 for the guys cans and 15 and 14 for the girls cans.

Once you have your products you subtract them and you'll get 18 :)
The girls collected 18 more than the boys

A number decreased by 5 is less than 32

Answers

I believe they want you to write an equation...

"a number" = x
"decreased by 5" = -5
"is less than 32" = <32

x - 5 < 32

That is the equation.

If you solve it...

x < 32+ 5
x < 37

x can be any number less than 37 to keep the equation true.
No. A number DECREASED by 5 IS 32. That means you ADD 5. So the correct answer is 37.

A teacher had 24 red pens. If the ratio of red pens to blue pens she owned was 8:7, how many pens did she have total

Answers

45 pens.

24 ÷ 8 =3  Then you need to time 3 and 7 together
3 x 7 = 21 Then add the total of pens the teacher has
21 + 24 = 45 pens
For every 8 red pens she has, she has 7 blue pens.

So, she has 21 blue pens.

In total, she has 45 pens.

4400 is 10 times as much as 440

Answers

correctly 440×10
=4400