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marishachu [46]

2 years ago

3

A box contains orange balls and green balls. The number of green balls is eight more than two times the number of orange balls.

If there are 59 balls altogether, then how many green balls and how many orange balls are there in the box?

1 answer:

Aleksandr-060686 [28]2 years ago

8 0

Answer:

green=42

Orange=17

Step-by-step explanation:

59-8=51, 51÷3=17

orange=17

green =(2×17)+8=34+8=42

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Missy bought the can of cat food shown below based on the information in the diagram which is the best approximation for the vol

solmaris [256]

There’s no picture ?

6 0

2 years ago

Angharad had an operation costing $500 She was in hospital for x days The cost of nursing care was $170 for each day she was in

Ket [755]

Answer:

a) Total cost = $500 + 170x$

b) 11 days

Step-by-step explanation:

Given:

(a)

Number of days in hospital = $x$

Cost of operation = $ 500

Cost of nursing per day = $170

∴ Cost of nursing for $x$ days = $ $170x$

Therefore, the expression for total cost of her operation and nursing care is given as,

$C=500+170x$ , where $C$ is the total cost.

(b)

Given:

Total cost of operation = $C=\$ 2370$

Using the expression obtained in (a), we solve for $x$ .

$C=500+170x$

Plug in 2370 for C and solve for $x$ . This gives,

$2370=500+170x\\ 170x=2370-500\\ x=\frac{1870}{170}\\x=11$

Therefore, Angharad stayed in hospital for 11 days.

7 0

2 years ago

Help please!! 20 point question!! Which equation represents the general form a circle with a center at (-2, -3) and a diameter o

Ivan

Answer:

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Step-by-step explanation:

8 0

2 years ago

You mix soda water, fruit punch concentrate, and ginger ale in the ratio of 1 : 2 : 5 to make fruit punch. How many pints of eac

EastWind [94]

So the ratio is 1 to 2 to 5
so basically 1 unit of soda water to 2 units of fruit punch to 5 units of ginger ale

total is 1+2+5=8 units

so 4 gallons=8 units
divide by 8
1/2 gallon=1 unit

soda water=1 unit=1/2 gallon
fruit punch=2 unit=1/2 times 2=1 gallon
ginger ale=5 unit=5 times 1/2=5/2=2 and 1/2 gallon

soda water=1/2 gallon
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8 0

2 years ago

What’s the angle it’s looking for ?

Law Incorporation [45]

Given:

m(ar KN) = 2x + 151

m(ar LN) = 61°

m∠NMK = 2x + 45

To find:

m∠NMK

Solution:

By property of circle:

<em>If a tangent and a secant intersect outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>

$$\Rightarrow m\angle NMK=\frac{1}{2} (m \ ar(KN) - m\ arLN))$

$$\Rightarrow 2x+45=\frac{1}{2} (2x + 151-61)$

$$\Rightarrow 2x+45=\frac{1}{2} (2x + 90)$

Multiply by 2 on both sides, we get

$$\Rightarrow 2\times (2x+45)=2\times \frac{1}{2} (2x + 90)$

$$\Rightarrow 4x+90=2x + 90$

Subtract 90 from both sides.

$$\Rightarrow 4x+90-90=2x + 90-90$

$$\Rightarrow 4x=2x$

Subtract 2x from both sides.

$$\Rightarrow 4x-2x=2x-2x$

$$\Rightarrow 2x=0$

$$\Rightarrow x=0$

Substitute x= 0 in m∠NMK.

m∠NMK = 2x + 45

= 2(0) + 45

= 45

Therefore m∠NMK = 45.

8 0

2 years ago