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ki77a [65]
3 years ago
9

Henry's mom is in charge of buying lemonade for his soccer team this week she plans on every player receiving 7/8 of a cup of le

monade after the game she bought a total of 20 cups of lemonade how many complete servings of lemonade Will Henry's mom be able to serve to the players
Mathematics
1 answer:
Katena32 [7]3 years ago
5 0
If each player will receive 7/8 of a cup, and there are a total of 20 cups of lemonade, then the number of servings that can be made is equal to:

20 cups divided by (7/8 cup per player)
20 / (7/8) = 20 * (8/7) = 160/7 = 22 and 6/7 (round down since we're looking for complete servings)
This means that 22 complete servings can be made.
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Sid starts with savings of £13
MAVERICK [17]

Answer:

The savings of Sid and Tim will be in 17:9 in 6 weeks.

Step-by-step explanation:

Initial savings of Sid = £ 13

Initial savings of Tim = £ 0

For each successive week Sid saved = £ 3.5

For each successive week Tim saved = £ 3

Let us assume that after "x weeks" the amounts of Sid and Tim are in ratio 17:9.

If Sid saves £ 3.5 in one week, in x weeks he will £ 3.5x. Since he had £ 13 initially, total amount he would have in x weeks will be £ (13 + 3.5x)

If Time saves £ 3 one week, in x weeks he will save £ 3x. Since, he didn't have any money initially, in x weeks he would have saved £ 3x

The ratio of their savings in x weeks would be 17:9

So,

Sid's saving : Tim's saving = 17 : 9

Using the values of expressions, we get:

13+3.5x:3x=17:9\\\\\frac{13+3.5x}{3x}=\frac{17}{9}\\\\ 9(13+3.5x)=17(3x)\\\\ 117+31.5x=51x\\\\ 117=51x-31.5x\\\\ 117=19.5x\\\\ x=\frac{117}{19.5}\\\\ x=6

This means, the savings of Sid and Tim will be in 17:9 in 6 weeks.

5 0
3 years ago
Help me plz. I don’t really understand this.
Morgarella [4.7K]

Answer:

K=8

Step-by-step explanation:

The triangles are similar so you can set up the porpotions: 3/6=4/k then you cross multiply and solve for k

8 0
2 years ago
Find the slope and Y intercept for each equation y=2x -4
kifflom [539]
The y intercept is -4 and the slope is 2
6 0
3 years ago
Read 2 more answers
PLEASE HELP ME ASAP
goblinko [34]

Answer:

20.04 units

Step-by-step explanation:

The diagram shows right triangle ABC. Use the definition of the cosine:

\cos \angle C=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}\\ \\\cos \angle C=\dfrac{BC}{AC}\\ \\\cos 51^{\circ}=\dfrac{BC}{27}\\ \\BC=27\cdot \cos 51^{\circ}\\ \\BC\approx 20.04\ units

3 0
3 years ago
What is the value of x? Round to the nearest tenth. Please Help
Elodia [21]

Answer:

<h2>x = 6.5 cm</h2>

Step-by-step explanation:

The segment 20.2 cm is the tangent. Therefore x and 20.2cm are perpendicular.

Use the Pythagorean theorem:

leg^2+leg^2=hypotenuse^2

We have

leg=x,\ leg=20.2cm,\ hypotenuse=(14.7+x)cm

Substitute:

x^2+20.2^2=(14.7+x)^2           <em>use (a + b)² = a² + 2ab + b²</em>

x^2+408.04=14.7^2+(2)(14.7)(x)+x^2          <em>subtract x² from both sides</em>

408.04=216.09+29.4x        <em>subtract 216.09 from both sides</em>

191.95=29.4x         <em>divide both sides by 29.4</em>

x\approx6.5\ cm

7 0
3 years ago
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