The equation shows that the pastries that must be sold at $3.55 each in order to make a profit is 23.
<h3>How to calculate the expression?</h3>
Let the number of units be represented by x.
Based on the information given, the equation will be:
75 + (0.15 × x) = 3.55 × x
75 + 0.15x = 3.55x
3.55x - 0.15x = 75
3.40x = 75
x = 75/3.40
x = 23
Therefore, the number is 23.
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Answer:
Step-by-step explanation:
3 1/2 + 5 1/3 =
Solution
Add whole numbers together and fractions together
3 1/2 + 5 1/3 = (3 + 5) + (1/2 + 1/3)
Write fractions with the same denominator
= 8 + (3/6 + 2/6) = 8 5/6
It takes Julia 1/2 hour to wash, comb her hair and put on her clothes, and 1/4 hour to have her breakfast. How much time does it take Julia to be ready for school?
Solution
The total time for Julia to be ready for school is
1/2 + 1/4
Write fractions with the same denominator
= 2/4 + 1/4 = 3/4 of an hour.
Answer:
About 6 hours.
Step-by-step explanation:
The cylinder has a diameter of 10 meters and a depth of 1.4 meters.
First, we can find the volume of the cylinder, given by the formula:
Where r is the radius and h is the height (or depth, in this case).
Since our diameter is 10, our radius is 5.
Therefore, the volume of the cylinder will be (using 3.14 as π):
Since water is pumped at a rate of 18 cubic meters per hour, it will take then:
So, it will take about 6 hours for the water to completely fill the pool.
Problem 24
<h3>Answer: w = 120</h3>
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Work Shown:
We have an isosceles triangle. The angles opposite the congruent sides are congruent. These are the base angles each 30 degrees. The missing angle is w. The three angles add to 180
(angle1)+(angle2)+(angle3) = 180
30+30+w = 180
60+w = 180
60+w-60 = 180-60 ... subtract 60 from both sides
w = 120
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Problem 25
<h3>Answers:</h3><h3>x = 6.5</h3><h3>y = 5</h3>
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Work Shown:
The angle marks are all the same, so the three angles are congruent to one another. We consider this an equiangular triangle. Any equiangular triangle is also equilateral, meaning all three sides are the same length.
So,
2x-5 = 8
2x-5+5 = 8+5 ... add 5 to both sides
2x = 13
2x/2 = 13/2 ... divide both sides by 2
x = 6.5
and also,
y+3 = 8
y+3-3 = 8-3 ... subtract 3 from both sides
y = 5
