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Andrej [43]
3 years ago
14

Jacob purchased 2 1/2 pounds of grapes and 2 3/4 pounds of strawberries from a farmer's market. The cost of each pound of grapes

is $2.64 and the cost of each pound of strawberries is $3.09. If the store offered a discount of 10% on the final bill, what was the amount Jacob paid to buy the fruits? Ignore sales tax.
Mathematics
1 answer:
anzhelika [568]3 years ago
5 0

Answer:

<u>$13.59</u>

Step-by-step explanation:

((2 1/2)lbs grapes)*($2.64/lbs grapes) + ((2 3/4)lbs strawberries)*($3.09 lbs strawberries) = total cost before discount.

Total Cost = (2.5)*(2.64) + (2.75)*(3.09)

Total Cost =  15.0975 round to $15.10

10% discount = (1 - 0.10) = 0.90

(0.90)*($15.10) = <u>$13.59</u>

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Juanita and Keenan own a camping supply store and just put in an order for flashlights and sleeping bags. The number of flashlig
julsineya [31]

Juanita and Keenan ordered 85 flashlights and 17 sleeping bags.

Step-by-step explanation:

Given,

Cost of each flashlight = $12

Cost of each sleeping bag = $45

Total cost = $1785

Let,

x represent the number of flashlights ordered

y represent the number of sleeping bags ordered

According to given statement;

12x+45y=1785    Eqn 1

x = 5y    Eqn 2

Putting value of x from Eqn 2 in Eqn 1

12(5y)+45y=1785\\60y+45y=1785\\105y=1785\\

Dividing both sides by 105

\frac{105y}{105}=\frac{1785}{105}\\y=17

Putting y=17 in Eqn 1

x=5(17)\\x=85

Juanita and Keenan ordered 85 flashlights and 17 sleeping bags.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/12878495
  • brainly.com/question/12884757

#LearnwithBrainly

8 0
3 years ago
find the equation of the line passing through the given point and perpendicular to the given equation write your answer in slope
Paraphin [41]

Slope-intercept form:

y = mx + b      "m" is the slope, "b" is the y-intercept


For lines to be perpendicular, their slopes have to be the opposite/negative reciprocals (flipped sign and number)

For example:

slope is 2

perpendicular line's slope is -1/2

slope is -2/3

perpendicular line's slope is 3/2



3.) y = 2x - 2

The given line's slope is 2, so the perpendicular line's slope is -1/2

y=-\frac{1}{2}x+b To find "b", plug in the point (-5 , 5) into the equation

5=-\frac{1}{2}(-5)+b

5=\frac{5}{2}+b     Subtract 5/2 on both sides

5-\frac{5}{2}=b   Make the denominators the same

\frac{10}{2}-\frac{5}{2}=b

\frac{5}{2}=b


y=-\frac{1}{2}x+\frac{5}{2}



4.) -6x + 5y = -10     Get "y" by itself, add 6x on both sides

5y = -10 + 6x          Divide 5 on both sides

y=-2+\frac{6}{5}x

The given line's slope is 6/5, so the perpendicular line's slope is -5/6.

y=-\frac{5}{6}x+b       Plug in (-2, 5)

5 = -\frac{5}{6}(-2)+b

5=\frac{10}{6}+b\\ 5=\frac{5}{3}+b    Subtract 5/3 on both sides

5-\frac{5}{3} =b    Make the denominators the same

\frac{15}{3}-\frac{5}{3}=b\\\frac{10}{3} =b


y = -\frac{5}{6}x+\frac{10}{3}



7.) Perpendicular line's slope is -2

y = -2x + b      Plug in (1,4)

4 = -2(1) + b

4 = -2 + b

6 = b


y = -2x + 6



8.) Perpendicular line's slope is -1/4

y = -\frac{1}{4}x+b     Plug in (-5 , 2)

2=-\frac{1}{4}(-5)+b

2 = \frac{5}{4}+b    Subtract 5/4 on both sides

2-\frac{5}{4}=b     Make the denominators the same

\frac{8}{4}-\frac{5}{4}=b

\frac{3}{4}=b


y=-\frac{1}{4}x+\frac{3}{4}

5 0
3 years ago
Can u please help I got 1 minnnn lefttttt
atroni [7]

Answer:

The area=base×height

=10×4

=40cm^2

perimeter=2(length+breadth)

I think to find the height Dc you use the pythagoras theorem of

Dc^2=de^2+ce^2

=√16+9

=5

therefore the perimeter will be

p=2(5+10)

=20cm

I hope this helps and sorry if it's wrong

3 0
2 years ago
Read 2 more answers
The price of a train ticket from Orlando to Atlanta is normally $118.00. However, the train company is offering a special 75% di
erma4kov [3.2K]

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Answer:

  $29.50

Step-by-step explanation:

The price of the discounted ticket is 1 - 75% = 25% = 0.25 times the normal price:

  discounted price = 0.25 × $118.00 = $29.50

The sale price is $29.50.

4 0
2 years ago
What is the LCD/LCM of this equation <br> -12.2 + 2.8W - 8.8 = 1.05w
Alexeev081 [22]

Answer: 2.8 W. 2.6 W. 2.4 W. 2.2 W. 2.0 W. 1.9 W. 1.7 W

Step-by-step explanation:

7 0
3 years ago
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