gertrude won the jump rope contest four more times than elena. they have won a combined total of 18 jump rope contest. write and solve a system of equations to find the number of contest Gertrude won and the number of contest Elana won

Answers

Answer 1

Answer: g = how many contests that Gertrude won
e = how many contests Elena won

Gertrude 4 more times than Elena
g = e + 4
They won a total of 18 contests
g + e = 18

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A bottle of orange juice hlds 4/6 quart of juice. A bottle of pineapple juice holds 2/3 quart of juice. Which bottle has more juice? Hoe do you know?

Answers

Answer:

Both bottles holds same amount of juice.

Step-by-step explanation:

We have been given that a bottle of orange juice holds $(4)/(6)$ quart of juice. A bottle of pineapple juice holds $(2)/(3)$ quart of juice. We are asked to which bottle has more juice.

First of all, we will reduce the fraction representing orange juice to lowest terms as shown below:

$(4)/(6)=(2*2)/(2*3)=(2)/(3)$

Since both fractions are equivalent, therefore, both bottles hold same amount of juice.

2/3 because 2 is close to 3 and 4 isnt very close to 6

Is 9 a solution to 3y<27

Answers

No, because if y is in fact 9 then the expression $3y<27$ evaluates to $27<27$ which is a false hence y cannot be 9 but rather $y\in(-\infty,9)$ .

Hope this helps.

Answer: No

Step 1: Rewrite the equation

3y<27

Step 2: Get y alone

To do this we need to divide both 3y and 27 by 3

3y<27

3y/3<27/3

y=9

Step 3: Substitution

We now know that y equals 9. Now let’s substitute this into the equation

3y<27

3(9)<27

27<27

Step 4: Determining the answer

Since 27 is not less than (27), 9 is not the solution for y. However, any number less than 9 would work for this equation

Hope this helps comment below for more questions :)

Simon Whitfield Victoria, British Columbia, won the men's triathlon at the Sydney Olympics. The race consisted of 1.5 km swim in Sydney harbour, a 40 km bike ride, and a 10km run. A) what percent is each component ?

B) what percent of the race distance is spent on land?

(P.s all these questions are from a text book and are question I don't understand, so pleases explain your answer.)

:)

Answers

Total triathlon distance →1.5 km + 40km + 10 km = 51.5 km

So 51.5 km represents 100% of distance covered.

The % of each component = (distance of component/Total distance) multiplied by 100% so :

% of swim → (1.5 / 51.5) × 100 → 0.029 × 100 = 2.9%

% of bike ride → (40 / 51.5) × 100 →0.776 × 100 = 77.6%

% of run → (10 / 51.5) × 100 → 0.194 × 100 = 19.4%

Percentage spent on land will be

(40 km bike ride + 10 km run / Total triathlon distance) multiplied by 100%

(50 / 51.5) × 100 → 0.970 ×100 = 97%

One side of a triangle is 3 1/3 cm, another side is 2/3 cm shorter than the first side, and the third side is 1 2/3 cm longer than the first side. What is the perimeter of the triangle?Thanks so much