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tekilochka [14]
2 years ago
7

A package of hamburgers contains 8 patties and costs $7.50. Part A.) Luna has to buy at least 16 packages for an upcoming picnic

. Write and solve an inequality to describe the number of hamburger patties, p, that Luna needs to buy. Part B.) Suppose she actually needs more than 150 hamburgers. How much will she spend? Explain.
Mathematics
1 answer:
Rus_ich [418]2 years ago
7 0

Answer:

Part A) p\geq 128\ patties

Part B) She will spend more than \$142.50

Step-by-step explanation:

Let

p-----> the number of hamburger patties

Part A) Luna has to buy at least 16 packages for an upcoming picnic

p\geq 16*8

p\geq 128\ patties

Part B) Suppose she actually needs more than 150 hamburgers. How much will she spend?

Let

c---------> the total cost

step 1

Divide 150 hamburgers by 8 (a package of hamburgers)

so

\frac{150}{8} =18.75\ package

round to the nearest whole number

18.75=19\ package----> the minimum number of packages

step 2

c>19*\$7.50

c>\$142.50

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matrenka [14]
An equivalent fraction is a fraction formed by multiplying the numerator and the denominator of a fraction by a common number.

-\frac{3}{8} =- \frac{3\times2}{8\times2} = -\frac{6}{16}
4 0
1 year ago
Bruce retiled his kitchen. Originally, he bought three boxes of tile with the same number of tiles in each. He ran out of tile a
DochEvi [55]

Answer:

Bruce's tile covers up more space.

Step-by-step explanation:

So as we know, Bruce covers up around 1/4 of square feet and to find felicia's function we have to used the data we already have. For example, x=6 tiles, y=1 sq ft and x=12 tiles, y=2 sq ft, then we set y=kx which then we can find the value of k, 1=6k, k=1/6 then y=1/6. We then test the function with x=12 and x=18, y=1/6 12=2 and y=1/6 18=3. When the function is complete, we see that Bruce's tiles cover up more space because 1/4>1/6.

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1 year ago
The table shows the results of 8 teams competing in a scavenger hunt. which team collected the most items? which team collected
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Answer:

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Step-by-step explanation:

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29/40 = 72.5% which is the lowest percentage collected

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Read 2 more answers
Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity. In the given triangle ABC, angle A
lana66690 [7]

The relationship between the lengths of the sides of a right triangle are

given by Pythagoras theorem.

  • Part A: <u>ΔABC is similar to ΔADC</u>
  • Part B: ΔABC and ΔADC are similar according <u>AA similarity postulate</u>
  • Part C: <u>DA = 6</u>

Reasons:

Part A:

∠A = 90°

Segment AD ⊥ Segment BC

Location of point D = Side BC

Part A: In triangle ΔABC, we have;

∠A = 90°, ∠B = 90° - ∠C

In triangle ΔADC, we have;

∠ADC = 90°, ∠DAC = 90° - ∠C

∴ <u>ΔABC is similar to ΔADC</u> by Angle-Angle, AA, Similarity Postulate

Part B: The triangles are similar according to <u>AA similarity postulate</u>,

because two angles in one triangle are equal to two angles in the other

triangle and therefore, by subtraction property of equality, the third angle

in both triangles are also equal.

Part C: The length of DB = 9

The length of DC = 4

Required: Length of segment DA

In triangle ΔABD, we have;

∠BDA = 90°= ∠ADC

∠DAC ≅ ∠B by Congruent Parts of Congruent Triangles are Congruent

Therefore;

ΔABD ~ ΔADC by AA similarity, which gives;

\displaystyle \frac{\overline{DA}}{\overline{DC}}  = \frac{\overline{BD}}{\overline{DA}}

\overline{DA}^2 = \overline{DC} \times \overline{BD}

Which gives;

\overline{DA}^2 = 4 × 9 = 36

\overline{DA} = √(36) = 6

\overline{DA}<u> = 6</u>

Learn more here:

brainly.com/question/2269451

3 0
1 year ago
What is the best approximation of the projection of (2,6) onto (5,-1)
Darya [45]

Answer:

0.15(5,-1)

Step-by-step explanation:

\frac{v_{1} * v_{2} }{|v_{2}|^{2} }*v_{2}  ⇒ \frac{(2)(5)+(6)(-1)}{\sqrt{5^2+(-1)^2} }(5,-1) ⇒  \frac{4}{26} (5,-1)  ⇒  0.15(5,-1)

5 0
1 year ago
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