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melamori03 [73]
3 years ago
7

On Monday, Luis picked up seven scones and four large coffees. He paid $26.16. On Tuesday, Rachel picked up six scones and five

large coffees. She paid $25.44. What is the cost of one scone? What is the cost of one large coffee?
Mathematics
1 answer:
Liula [17]3 years ago
3 0
Answer: A scone costs $2.64, and a large coffee costs $1.92.

Explanation: We can write both scenarios as equations, and write it as a system of equations.

“Luis picked up seven scones and four large coffees. He paid $26.16.”

Let’s express the cost of a scone as x.
Let’s express the cost of a large coffee as y.

The first equation would be 7x + 4y = 26.16.

“Rachel picked up six scones and five large coffees. She paid $25.44.”

Let’s express the cost of a scone as x.
Let’s express the cost of a large coffee as y.

The second equation would be 6x + 5y = 25.44.

The systems of equations is:

7x + 4y = 26.16
6x + 5y = 25.44

Let’s take the first equation and solve for x.

7x + 4y = 26.16
7x = 26.16 - 4y
x = (26.16 - 4y)/7

Let’s substitute x in the second equation for (26.16 - 4y)/7, and solve for y.

6((26.16 - 4y)/7) + 5y = 25.44

Distribute the 6 across 26.16 - 4y in the term 6((26.16 - 4y)/7).

(156.96 - 24y)/7 + 5y = 25.44

Rewrite 5y as 35y/7 so it has a common denominator with (156.96 - 24y)/7.

(156.96 - 24y)/7 + 35y/7 = 25.44

Combine like terms.

(156.96 + 11y)/7 = 25.44

Multiply both sides by 7.

156.96 + 11y = 178.08

Subtract 156.96 from both sides.

11y = 21.12

Divide both sides by 11.

y = 1.92

Substitute y into the first equation.

7x + 4(1.92) = 26.16

Simplify 4(1.92).

7x + 7.68 = 26.16

Subtract 7.68 from both sides.

7x = 18.48

Divide both sides by 7.

x = 2.64

Since x = 2.64, we know that the cost of a scone is $2.64.
Since y = 1.92, we know that the cost of a large coffee is $1.92.

Therefore, a scone costs $2.64, and a large coffee costs $1.92.

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i am measurng two line segments the first line is 30centi meter long the second line segment is 500milli meter how long are the
Alexeev081 [22]

Answer    

Find out the how long are the two line segments together answer in cm .

To prove

As given

i am measurng two line segments the first line is 30centimeter long.

The second line segment is 500 millimeter .

As

1 millimeter = 0.1 centimeter

Now convert  500 millimeter into centimeter .

500 millimeter = 500 × 0.1 centimeter

                         = 50 centimeter

Thus second line segment be  50 centimeter long .

Total length of  two line segments = 30 + 50

                                                        = 80 cm

Therefore the 80 cm long are the two line segments together answer in cm .




8 0
3 years ago
1. What is the solution of the equation<br> 3y-5y+10=36?<br> 1. -13<br> 2. 2<br> 3. 4.5<br> 4. 13
VikaD [51]

Answer:

1: -13

Step-by-step explanation:

First, simplify the equation to -2y+10=36

Subtract 10 from both sides

-2y=26

Divide negative 2 from both sides

y=-13

5 0
3 years ago
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HELP
Otrada [13]

Answer:

(x + 2)² + (y + 9)² = 49

Step-by-step explanation:

Equation:

(x - h)² + (y - k)² = r²

(x - -2)² + (y - -9)² = 7²

(x + 2)² + (y + 9)² = 49

5 0
3 years ago
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An element with mass 780 grams decays by 17.1% per minute. How much of the element is remaining after 19 minutes to the nearest
Anit [1.1K]
Step 1
Formulate a recursive sequence modeling the number of grams after n  minutes.
we have that
100%-17.1%-------------- > 82.9%------------> 0.829

a(n) = 780*[0.829<span>^n]
</span>
for n=19 minutes
a(19)=780*[0.829^(19)]=22.1121 g---------------> 22.1 g

the answer is 22.1 g
6 0
3 years ago
What is the slope of the line that passes through the points (4, 4)(4,4) and (10, 7) ?(10,7)? Write your answer in simplest form
Mashutka [201]

The slope of line passing through the points (4, 4) and (10, 7) is \frac{1}{2}

<em><u>Solution:</u></em>

Given that, we have to find the slope of line that passes through the points (4, 4) and (10, 7)

The slope of line passing through (x_1 , y_1) and (x_2, y_2) is given as:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Given two points are (4, 4) and (10, 7)

\text{ Here } x_1 = 4 ; y_1 = 4; x_2 = 10; y_2 = 7

Substituting the values in formula, we get

\begin{aligned}&m=\frac{7-4}{10-4}\\\\&m=\frac{3}{6}\end{aligned}

Reducing to lowest terms, we get

m=\frac{1}{2}

Thus slope of line passing through given points is \frac{1}{2}

8 0
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