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3 years ago

10

Picture is attached, please explain answer

1 answer:

padilas [110]3 years ago

6 0

Answer:

20 Yellow Counters

Step-by-step explanation:

You can see the clues with how the ratio changes.

To change from (1:4) => (5:1) is not because any were taken away from the value that is the Yellow counters, it is purely because the amount added to the blue counters was so large that they simply simplified the ratio.

The real value of the ratio if reverted back to it's original state would be:

=> (20:4)

95 blue counters is equivalent to 19 in the ratio. We know this because it increased from 1 to 20.

95/19 => 5

Each Ratio in the original one presented is equal to 5.

5 * 4 = 20 Yellow Counters

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What is x: 1.5x - 6=7.5

enot [183]

$\large\text{Hey there!}$

$\mathsf{1.5x - 6=7.5}\\\mathsf{\bf{\underline{ADD}}}\mathsf{\ by\ 6\ on\ both\ of\ your\ sides}\\\mathsf{1.5x-6+6=7.5+6}\\\mathsf{Cancel\ out: -6+6\ because\ it\ equals\ 0}\\\mathsf{Keep:7.5+6\ because\ it\ helps\ us\ solve\ for\ your\ answer}\\\mathsf{7.5 + 6=13.5}\\\mathsf{We\ get: 1.5x=13.5}\\\mathsf{\bf{\underline{Divide}}}\mathsf{\ both\ sides\ by\ 1.5\ on\ your\ sides}\\\mathsf{\dfrac{1.5x}{1.5}=\dfrac{13.5}{1.5}}\\\\\mathsf{Cancel\ out: \dfrac{1.5x}{1.5}\ because\ it\ equals\ 1}$

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7 0

2 years ago

Jeanette has a sundae bar at her birthday party. To make the rainbow sprinkles easier to serve, she splits 28.08 ounces of sprin

mojhsa [17]

1.17 ounces per cup.

it’s basic division btw. 28.08 divide by 24

8 0

3 years ago

Ok, I am so sorry ,I rlly don't understand any of these things , can y'all help me with

melomori [17]

Answer:

x is 2.88 which can be rounded up to 2.9

Step-by-step explanation:

Subtract 2/3x from 5x.

Add 1/2 to 12.

Simplify and put into calculator (y=) to double check.

3 0

3 years ago

Work out the area of the trapezium ABDE.<br> B<br> 9 cm<br> 6 cm<br> 8 cm<br> →D<br> E

Evgen [1.6K]

Answer:

Area of the trapezium ABDE = 30 cm²

Step-by-step explanation:

Area of a trapezium = $\frac{1}{2}(b_1+b_2)h$

Here, $b_1$ and $b_2$ are the parallel sides of the trapezium

h = Distance between the parallel sides

From the picture attached,

ΔCAE and ΔCBD are the similar triangles.

So by the property of similarity their sides will be proportional.

$\frac{AE}{BD}= \frac{CE}{CD}$

$\frac{9}{6}=\frac{CE}{8}$

CE = $\frac{9\times 8}{6}$

CE = 12 cm

Therefore, DE = CE - CD

DE = 12 - 8 = 4 cm

Now area of trapezium ABDE = $\frac{1}{2}(AE+BD)(DE)$

= $\frac{1}{2}(6+9)4$

= 30 cm²

Therefore, area of the trapezium ABDE = 30 cm²

8 0

2 years ago

Robert and his coworkers brought 11 work trucks to a service station for oil changes. While there they also put 6 gallons of gas

Free_Kalibri [48]

Answer:

The cost of an oil change for 1 truck was $42

Step-by-step explanation:

Let

x -----> the cost of an oil change for 1 truck

y -----> the cost of gas for 1 truck

z ----> the total bill

we know that

$z=11[x+y]$

we have

$z=\$694.32$

$y=(6)(3.52)=\$21.12$

substitute and solve for x

$694.32=11[x+21.12]$

$x=(694.32/11)-21.12$

$x=\$42$

7 0

2 years ago