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Varvara68 [4.7K]
3 years ago
7

The flower shop sold roses and tulips. The number of roses sold was 5 less than twice the number of tulips sold. If the shop sol

d 106 flowers in total, how many of each kind of flowers were sold?
Mathematics
1 answer:
LenaWriter [7]3 years ago
7 0

Answer: the number of roses sold is 69 while number of tulips is 37

Step-by-step explanation:

Let x represent the number of roses that the flower shop sold.

Let y represent the number of tulips that the flower shop sold.

The number of roses sold was 5 less than twice the number of tulips sold. This means that

x = 2y - 5 - - -- -- - - - - - ;1

If the shop sold 106 flowers in total, it means that

x + y = 106

Substituting x = 106 - y into equation 1, it becomes

106 - y = 2y - 5

3y = 106 + 5 = 111

y = 111/3 = 37

x = 106 - y = 106 - 37

x = 69

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According to Okun's law, if the unemployment rate goes from 5% to 3%, what will be the effect on the GDP?
olga2289 [7]

Answer:

D. It will increase by 1%.

Step-by-step explanation:

Given

u_1 = 5\% --- initial rate

u_2 = 3\% --- final rate

Required

The effect on the GDP

To calculate this, we make use of:

\frac{\triangle Y}{Y} = u_1 - 2\triangle u

This gives:

\frac{\triangle Y}{Y} = 5\% - 2(5\% - 3\%)

\frac{\triangle Y}{Y} = 5\% - 2(2\%)

\frac{\triangle Y}{Y} = 5\% - 4\%

\frac{\triangle Y}{Y} = 1\%

<em>This implies that the GDP will increase by 1%</em>

5 0
3 years ago
Josh made 8 3/4 cups of jello. if he serves it in 1/2 cup servings, how many people can he serve?
juin [17]

Answer: 17 people

Step-by-step explanation:

You divide 8 3/4 and 1/2 and you get 17 1/2

And since the question asks how many people can he serve you use the whole number because its not fair if you give a full serving to a person and half a serving to another.

3 0
3 years ago
(b) Write the ratio 12:30 in the form 1:n
kari74 [83]

answer:

1 : 2.5

explanation:

given ratio: 12 : 30

divide by 12:

  • \frac{12}{12} : \frac{30}{12}
  • 1 : 2.5

n = 2.5

4 0
2 years ago
Read 2 more answers
Which value of x is a solution of x &lt; -2?<br> A.<br> -3<br> B. -2<br> C.<br> -1<br> D. 0
Viefleur [7K]

Answer:

A

Step-by-step explanation:

-3<-2

7 0
3 years ago
Find an equation of the line that contains the given point and is perpendicular to the given line. Using a graphing calculator t
Orlov [11]

The equation of the line is y=2x+1.

We must must transform the standard form equation 3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.

3x+6y=5 (Subtract 3x on both sides.)

6y=−3x+5 (Divide both sides by 6.)

y=− 3/6x+ 5/6

​y=− 1/2x+ 5/6

​The slope of our first line is equal to − 1/2.Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is − 1/x

​The negative reciprocal of − 1/2 is equal to 2, therefore 2 is the slope of our line.

Since the equation of line passing through the point (1,3), therefore substitute the given point in the equation y=2x+b:

3=(2×1)+b

3=2+b

b=3−2=1

Substitute this value for b in the equation y=2x+b:

y=2x+1

Hence, the equation of the line is y=2x+1.

For more information about equation of line, visit

brainly.com/question/18831322

#SPJ9

6 0
1 year ago
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