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sweet-ann [11.9K]
3 years ago
15

Identify as a ratio, rate or unit rate: 5 apps for $9.99

Mathematics
1 answer:
Volgvan3 years ago
5 0
Each are 2$ so 2/10 each or 1/5 i belive?
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A segment with endpoints A (2, 1) and C (4, 7) is partitioned by a point B such that AB and BC form a 3:2 ratio. Find B.
sdas [7]

\bf ~~~~~~~~~~~~\textit{internal division of a line segment} \\\\\\ A(2,1)\qquad C(4,7)\qquad \qquad \stackrel{\textit{ratio from A to C}}{3:2} \\\\\\ \cfrac{A\underline{B}}{\underline{B} C} = \cfrac{3}{2}\implies \cfrac{A}{C} = \cfrac{3}{2}\implies 2A=3C\implies 2(2,1)=3(4,7)\\\\[-0.35em] ~\dotfill\\\\ B=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em] ~\dotfill

\bf B=\left(\cfrac{(2\cdot 2)+(3\cdot 4)}{3+2}\quad ,\quad \cfrac{(2\cdot 1)+(3\cdot 7)}{3+2}\right)\implies B=\left( \cfrac{4+12}{5}~,~\cfrac{2+21}{5} \right) \\\\\\ B=\left(\cfrac{16}{5}~~,~~\cfrac{23}{5} \right)\implies B=\left( 3\frac{1}{5}~~,~~4\frac{3}{5} \right)

8 0
4 years ago
Read 2 more answers
Question 29 <br> Find the short leg<br> Plz help
Murljashka [212]

Answer:

7

Step-by-step explanation:

Since the triangle is right we can use the cosine ratio to find IR

cos60° = \frac{adjacent}{hypotenuse} = \frac{IR}{TR} = \frac{IR}{14}

Cross- multiply

IR = 14 × cos60° = 14 × 0.5 = 7

6 0
3 years ago
Eight campers are sharing 3 boxes of cereal equally.How much will each camper receive
erma4kov [3.2K]

Answer:

About 37% of the box

Step-by-step explanation:

3 0
3 years ago
Is -5 a solution to the equation 6x + 5 = 5x + 2x? Explain?
poizon [28]

Answer:

no it is 5

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.  x = 5

8 0
3 years ago
Read 2 more answers
7.<br> Evaluate f(x) = -2x - 5 for x = 3.<br><br> A. 1<br><br> B. 11<br><br> C. –6<br><br> D. –11
Yuliya22 [10]
I think the answer is d. -11

Explanation:

Replace the variable x with 3 in the expression.
f(3)=-2•3-5

Multiply -2 by 3
f(3)=-6 -5

Subtract 5 from -6
f(3)= -11

Then the answer should be -11.
4 0
3 years ago
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