Kylie went into a grocery store and bought 3 apples and 4 bananas, costing a total of
$6.50. Lily went into the same grocery store and bought 10 apples and 5 bananas,
costing a total of $17.50. Write a system of equations that could be used to determine
the price of each apple and the price of each banana. Define the variables that you use
to write the system.

Answer:

The similarity ratio is 2 to 1

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

Now, let us use the angle markings

We have it that;

RP/QR = VW/VX

4/8 = 1/2

1/2 = 1/2

Answer:

< C

Step-by-step explanation:

because 23 is the largest number on the triangle so the angle opposite of that side would be C

Answer:

510 ft²

Step-by-step explanation:

in the triangle

base (b) = 5 ft

height of the triangle (h1) = 12 ft

height of the prism = 15 ft

Now

Lateral surface area (LSA)

= perimeter of triangular base * height

= ( 13 + 5 + 12) * 15

= 450 ft²

Total surface area

= LSA + 2 * area of triangular base

= 450 + 2 * 1 / 2 * b * h1

= 450 + 5 * 12

= 450 + 60

= 510 ft²

Hope it will help :)❤

Answer:

the solution is x = 2 and y = 4 OR (2,4)

Step-by-step explanation:

From the question

Equation 1: 3x-2y= -2

Equation 2: 3x + y = 10

Subtract equation 1 from equation 2, that is

3x + y = 10 - (3x -2y = -2)

You get

3x - 3x + y - (-2y) = 10 - (-2)

0 + y + 2y = 10 + 2

3y = 12

Divide both sides by 3

∴ y = 12/3

y = 4

Substitute the value of y into equation 2 to get x

3x + y = 10

3x + 4 = 10

Then,

3x = 10 - 4

3x = 6

Divide both sides by 3

∴ x = 6/3

x = 2

Hence, the solution is x = 2 and y = 4

Answer:

Negative consumption externalities. When certain goods are consumed, such as demerit goods, negative effects can arise on third parties. Common example include cigarette smoking, which can create passive smoking, drinking excessive alcohol, which can spoil a night out for others, and noise pollution.

Answer:

i gave you an answer down below

Step-by-step explanation:

:)

Answer:

The operation used is the Subtraction operation

39 bags of marshmallows

Step-by-step explanation:

The operation we would be using here is the Subtraction operation.

Total number of bags if Marshmallows bought = 48 bags

Number of people present = Taylor + 10 friends = 11 people

Amount of Marshmallows left = 9 bags

Hence, the number of bags of marshmallows that Taylor and her friends went through is calculated as:

48 bags of marshmallows - 9 bags of marshmallows

= 39 bags of marshmallows

Answer:

Please provide image

Step-by-step explanation:

The image is not shown.

Answer:

prolly like 689

Step-by-step explanation:

As per the given data, approximately 499 of the 1,000 students obtained a score from 70 to 95.

A standardized score is an example of a z-score. A z-score is a measure of how far a data point is from the mean in a distribution.

To solve this problem, we need to calculate the number of students who obtained a score from 70 to 95.

First, we need to calculate the z-scores for these two scores using the formula:

z = (score - mean) / standard deviation

For a score of 70:

z = (70 - 70) / 5 = 0

For a score of 95:

z = (95 - 70) / 5 = 5

Next, we need to find the area under the standard normal distribution curve between these two z-scores using a standard normal distribution table or calculator.

The area between z = 0 and z = 5 is approximately 0.499, or 49.9%.

Finally, we can calculate the number of students who obtained a score from 70 to 95 by multiplying this proportion by the total number of students:

Number of students = proportion x total number of students

Number of students = 0.499 x 1000

Number of students ≈ 499

Therefore, approximately 499 of the 1,000 students obtained a score from 70 to 95.

For more details regarding standard deviation, visit:

https://brainly.com/question/23907081

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Answer:

1863.5 feets

Step-by-step explanation:

Using Trigonometry :

The distance, d in the attached diagram can be obtained using the trigonometric relation :

Cosθ = adjacent / hypotenus

Cos 15° = 1800 / d

0.9659258 = 1800 / d

0.9659258 * d = 1800

d = 1800 / 0.9659258

d = 1863.4971 feets

The distance covered to the nearest 10 feet = 1863.5 feets

Answer:

57.8 or 57 and four fifths

Step-by-step explanation:

5+14=19

19*3=57

57+0.8= 57.8

Answer:

-5/3

Step-by-step explanation:

y2 - y1 / x2 - x1

-4 - 1 / 1 - (-2)

-5 / 3

-5/3

Answer:

0.013

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ (1−p)ⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

and p is the probability of success.

Given n = 6, p = 0.69, and r = 0 or 1:

P = ₆C₀ (0.69)⁰ (1−0.69)⁶⁻⁰ + ₆C₁ (0.69)¹ (1−0.69)⁶⁻¹

P = (1) (1) (0.31)⁶ + (6) (0.69) (0.31)⁵

P = 0.013

Answer:

Answer: 7u - 63

Step-by-step explanation:

Answer:

same bud

Step-by-step explanation:

here total second=170 second

probability that is not red=

[tex] \frac{12}{284} [/tex]

Step-by-step explanation:

i think that is the portability that is not red

The probability that the light is not red is 13/17

The given parameters are:

Green = 2 minutes

Red = 40 seconds

Yellow = 10 seconds

Express green as seconds

Green = 120 seconds

The probability that the light is red is:

P(Red) =Red/Total

This gives

P(Red) = 40/(120 + 40 + 10)

Divide

P(Red) = 4/17

The probability that it is not red is:

P(Not Red) = 1 - P(Red)

This gives

P(Not Red) = 1 - 4/17

Subtract

P(Not Red) = 13/17

Hence, the probability that the light is not red is 13/17

Read more about probability at:

https://brainly.com/question/251701

Answer: The answer is 22 players

Step-by-step explanation:

Answer:

reeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

Answer:

C is the correct answer

Step-by-step explanation:

A P E X

Answer: C. 870 is the correct answer

Step-by-step explanation:

Answer:

2.0, 2.4. 2.8

Step-by-step explanation:

Answer:

60x36x120

Step-by-step explanation:

Because the scale factor is 1:12, you multiply the dimension of the building by 12.

Answer:

v = 3√6

u = 6√3

Step-by-step explanation:

v = 3√6 because it is an isosceles triangle

u² = 2(3√6)²

u² = 108

u =√108 = 6√3

Answer:

t = 4

Step-by-step explanation:

divide 2.5 by itself to cancel and divide on the other side to get 4

You divide each term by 2.5 and simplify.

The answer is t = 4

Answer:

40 degrees!

Step-by-step explanation:

95 + 45 = 140

180 - 140 = 40

Answer:

V = 130.08

Step-by-step explanation:

To solve we will use the equation V= [tex]Pe^r^t[/tex]

V= what you are solving for

P= initial number ( 123)

R= rate (2.8%)

-we can convert the rate to a decimal by moving the decimal place 2 spaces to the left.

R= 0.028

T= time (2 years)

The equation should be... [tex]V=123e^(^0^.^0^2^8^*^2^)[/tex]

To solve we can first multiply 0.028 and 2

This is = 0.056

[tex]V=123e^0^.^0^5^6[/tex]

Then using a calculator we get...

V = 130.0845

Answer:

A

Step-by-step explanation:

(-3,13) and (4,-15) have a slope of 11.

Answer:

1) 95/24

2)23/3

3) 791/72

Step-by-step explanation:

hope this helps

Answer:

8 : 24

Step-by-step explanation: