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emmasim [6.3K]
2 years ago
9

Caleb has a summer job working at an ice-cream stand. Customers can order a cone with a single scoop or a double scoop of ice cr

eam. One morning, Caleb sold 30 single scoops and 20 double scoops for $167.50. That afternoon, he sold 35 single scoops and 25 double scoops for $202.50.
What is the price of a double scoop?

How much money did Caleb bring in from selling double scoops that day?
Mathematics
1 answer:
34kurt2 years ago
8 0

Answer: well depending on the number it would be 500 double and 50 per day

Step-by-step explanation:

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If CDE ~ GDF, find ED
qaws [65]

Answer:

10

Step-by-step explanation:

\triangle CDE \sim \triangle GDF.. (given) \\\\\therefore \frac{CD}{GD} =\frac{DE}{DF}.. (csst) \\\\\therefore  \frac{15}{x+3} =\frac{3x+1}{4}\\\\ \therefore   \: 15 \times 4 = (x + 3)(3x + 1) \\  \\ \therefore   \: 60 = 3 {x}^{2}  + x + 9x + 3 \\  \\ \therefore  3 {x}^{2}  + 10x + 3 - 60 = 0 \\ \therefore  3 {x}^{2}  + 10x  - 57 = 0 \\ \therefore  3 {x}^{2}  + 19x - 9x  - 57 = 0 \\ \therefore   \: x(3x + 19) - 3(3x + 19) = 0 \\\therefore   \:  (3x + 19)(x - 3) = 0 \\ \therefore   \: 3x + 19 = 0 \:  \: or \:  \: x - 3 = 0 \\  \therefore   \: x =  -  \frac{19}{3}  \:  \: or \:  \: x = 3 \\  \because \: x \: can \: not \: be \:  - ve \\ \therefore   \: x = 3 \\ ED = 3x + 1 = 3 \times 3 + 1  \\ \huge \red{ \boxed{ ED= 10}}

7 0
2 years ago
Sam bought brushes for $8, a palette for $5, and oil paints for $15. He paid $29.82 in all. What sales-tax rate did Sam pay?
klio [65]
Total purchased w/o tax: $8 +$5 + $15 = $28
He paid (w/tax) $29.82 so 
$ 29.82 - $28 = $1.82 (sale tax)

Now we need to find the sales tax rate:

$1.82 / $28 * 100 = 0.065 *100% = 6.5%

Double check:

$28 *6.5 / 100  = $1.82

$28 + $ 1.82 =  $29.82 total amount he paid..

So the sales tax rate is 6.5%

7 0
2 years ago
Read 2 more answers
Sonam sold two cars for nu. 55055 each. one has gained him 16% while the other made him loss 16%. how much does he loss or gain
statuscvo [17]

Answer: Total Loss or Gain = $0

<u>Step-by-step explanation:</u>

Gain:   $55,055 (1 + 0.16)

        = $55,055 (1.16)

        = $63,863.80

Profit = $8,808.80

Loss:   $55,055 (1 - 0.16)

        = $55,055 (0.84)

        = $46,246.20

Loss = -$8,808.80

Profit + Loss

= $8,808.80 - $8,808.80

= 0

5 0
2 years ago
The measure of central angle QRS is StartFraction 8 pi Over 9 EndFraction radians. What is the area of the shaded sector? 36Pi u
MArishka [77]

The question is missing the figure. So, it is attached below.

Answer:

Area of the shaded sector is <u>144π units squared</u>.

Step-by-step explanation:

Given:

Central angle of the sector is, \theta=\frac{8\pi}{9}\ rad

Radius of the circle is, R=18\ units

We know that, area of a sector of a circle of radius 'R' and central angle \theta is given as:

A=\frac{1}{2}R^2\theta

Plug in \theta=\frac{8\pi}{9},R=18. This gives,

A=\frac{1}{2}\times (18)^2\times \frac{8\pi}{9}\\\\A=(\frac{324\times 4}{9})\pi\\\\A=(36\times 4)\pi\\\\A=144\pi\ units^2

Therefore, the area of the shaded sector is 144π units squared.

5 0
2 years ago
Read 2 more answers
Put the following equation of a line into slope-intercept form, simplifying all
lilavasa [31]

Answer:

y = x -7

Step-by-step explanation:

2x - 2y = 14

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

Subtract 2x from each side

2x - 2y -2x = -2x+14

-2y = -2x+14

Divide each side by -2

-2y/-2 = -2x/-2 +14/-2

y = x -7

The slope is 1 and the y intercept is -7

8 0
2 years ago
Read 2 more answers
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