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tatyana61 [14]
1 year ago
5

Ye has his own business. He checks his sales receipts three times a day. One day, his afternoon sales eere $50 more than his mor

ning sales, and his evening sales were three times his afternoon sales. If his total slaes for the day were $1,000, what were his evening sales?
Mathematics
2 answers:
Alecsey [184]1 year ago
8 0

Answer: Hence, his evening sales were $630.

Step-by-step explanation:

Let the sales in the morning be 'x'

Let the sales in afternoon be x+50

Let the sales in the evening be 3(x+50).

Total sales for the day = $1000

According to question, it becomes

x+x+50+3(x+50)=1000\\\\2x+50+3x+150=1000\\\\5x+200=1000\\\\5x=1000-200=800\\\\x=\dfrac{800}{5}\\\\x=160

So, his evening sales would be

3(x+50)\\\\=3(160+50)\\\\=3\times 210\\\\=630

Hence, his evening sales were $630.

SOVA2 [1]1 year ago
7 0
Let his morning sakes be $m, then afternoon sales were m+50, and his evening sales were 3m+150.
Total sales=m+m+50+3m+150=1000.
5m=1000-200=800, so m=800/5=$160. His evening sales were 3(160+50)=3×210=$630.
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Zoe and Hannah share tips in the ratio 3:7. Last week, Zoe received £24. How much did Hannah receive last week?
Goshia [24]

Answer:

hannah gets £56

Step-by-step explanation:

z   : h

3   : 7

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8 0
1 year ago
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit
Ann [662]
Let
x--------> <span>the number of sandwich lunch specials sold
y-------> </span><span>the number of wrap lunch specials sold

we know that
2x+3y=1470

Part 1) </span><span>Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.

we know that
</span>the equation to slope-intercept form is of the form
y=mx+b
so
2x+3y=1470------> solve for y
3y=1470-2x-----> divide by 3 both sides
y=(-2/3)x+1470/3
y=(-2/3)x+490

the slope m=-2/3
the y-intercept is 490


Part 2) <span>Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.

</span><span>the slope is -2/3  and the y-intercept is 490

Plot the point (0,490)------>  the y-intercept.
With the slope count 3 squares to the right and 2 squares down and plot that point, which is (0+3,490-2)--------> (3,488)
Draw a line through the two points  

Part 3) </span><span>Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.

In function notation, the equation is:
f(x)=(-2/3)x+490
The graph of this function represents how the value of the function varies as the value of x varies. Looking back at the question context, this graph specifically represents how many wraps could have been sold at each number of sandwich sales, in order to maintain the same profit of $1470.</span><span>

Part 4) </span>Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology

using a graph tool
see the attached figure

Part 5) Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different

we have that
2x+3y=1593
3y=1593-2x--------> y=(-2/3)x+531
slope=(-2/3)
y intercept=531
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differences : y intercepts are different.
<span>This is basically telling me that the lines are parallel lines because they have the same slope.
</span>
6) Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations

Select two points on the line and write down their coordinates

Let
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a) find the slope
m=(y2-y1)/(x2-x1)----> m=(0-300)/(450-0)----> m=-2/3
b) with the slope m=(-2/3) and the point A (0,300)
y-y1=m*(x-x1)-----> y-300=(-2/3)*(x-0)----> y=(-2/3)x+300

the answer Part 6) is
y=(-2/3)x+300

7 0
1 year ago
Y is inversely proportional to x.<br> Complete the table.<br> х<br> 15<br> 6<br> у<br> 5<br> 10
AlexFokin [52]

Answer:

When x = 15, y= 2

When y= 10, x= 3

Step-by-step explanation:

This is a question in inverse proportion. In this proportion, an increase in one quantity would lead to a decrease in the other and vice versa.

We are to complete the table using the relationship between x and y.

Given:

y is inversely proportional to x = y ∝ 1/x

∝ = proportional to

y ∝ 1/x

y = k × 1/x

Where k = constant of proportionality

To understand the relationship between y and x, we need to find the value of k.

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From the table,

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y = 30 × 1/x

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When x = 15, y= ?

y = 30/15

y = 2

When y= 10, x= ?

10 = 30/x

10x = 30

x = 30/10

x= 3

5 0
2 years ago
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