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3 years ago

Work out the following and put them in there simplest form

Mathematics

1 answer:

Rom4ik [11]3 years ago

5 0

Answer:

Step-by-step explanation:

using the reciprocal rule

3/11÷3/11

thats the same as

3/11×11/3

3×11=33

11×3=33

33÷33=1

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The ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. If the first number in the ratio is 10, what is the second num

photoshop1234 [79]

The multiplier is 4 (3*4=12, 4*4=16), so 10*4 is 40, therefore the ratio is 10:40

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4 years ago

Read 2 more answers

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marysya [2.9K]

1) 6/11
2) 5/27
3) 42/11 or 3 9/11
4) 50/121

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3 years ago

The basketball boosters are selling school t-shirts for $20 and warm up pants for $45. Last week they sold 100 items and collect

lesya [120]

They sold 76 t-shirts and 24 warm up pants.

Step-by-step explanation:

Cost of one t-shirt = $20

Cost of warm up pants = $45

Total sold = 100

Worth of sold items = $2600

Let,

x be the number of t-shirts.

y be the number of warm up pants.

According to statement;

x+y=100 Eqn 1

20x+45y=2600 Eqn 2

Multiplying Eqn 1 by 20

$20(x+y=100)\\20x+20y=2000\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(20x+45y)-(20x+20y)=2600-2000\\20x+45y-20x-20y=600\\25y=600\\$

Dividing both sides by 25

$\frac{25y}{25}=\frac{600}{25}\\y=24\\$

Putting y=24 in Eqn 1

$x+24=100\\x=100-24\\x=76$

They sold 76 t-shirts and 24 warm up pants.

Keywords: linear equations, elimination method

Learn more about elimination method at:

#LearnwithBrainly

5 0

3 years ago

Find the exact length of the third side. 52 48

oksano4ka [1.4K]

Answer:

<h3>Here in diagram </h3>

this is a Right angled triangle
where
hypontenuse =h=52
Base=b=48

We need to find

perpendicular =p

According to Pythagorean theory

${\boxed{\sf h^2=p^2+b^2}}$

$\qquad\quad {:}\longrightarrow\tt p^2=h^2-b^2$

$\qquad\quad {:}\longrightarrow\tt p=\sqrt {h^2-b^2}$

Substitute the values

$\qquad\quad {:}\longrightarrow\tt p=\sqrt{52^2-48^2}$

$\qquad\quad {:}\longrightarrow\tt p=\sqrt {2704-2304}$

$\qquad\quad {:}\longrightarrow\tt p=\sqrt{400}$

$\qquad\quad {:}\longrightarrow\tt p=20$

8 0

3 years ago

A tank is 20% full contains 500 gallons of water. Find the maximum capacity of the water tank?PLease HELP ASAP

astraxan [27]

Answer:

Step-by-step explanation:

We can solve this easily with proportions. If the tank is 20% full and has 500 gallons in it, when it is 100% full, it will have a proportional amount of water in it:

$\frac{20}{500}=\frac{100}{x}$ where the percentages are on the top and the number of gallons is on the bottom of those ratios.

Cross multiply to solve for x:

20x = 50000 so

x = 2500 gallons, max capacity

5 0

4 years ago