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Gnoma [55]
3 years ago
10

You collect a total of $160 in donations from three people. The three donations are in the ratio 5 : 5 : 10.

Mathematics
1 answer:
likoan [24]3 years ago
4 0
5 + 5 + 10 = 20
x + y + z = 160

5 × 80 : 5 × 80 : 10 × 80
400 : 400 : 800
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Identify a sequence of transformations that maps triangle ABC onto triangle A"B"C" in the image below.
Murljashka [212]

Answer:

The correct option is B.

Step-by-step explanation:

It is given that triangle A"B"C" is the image of triangle ABC after transformation.

From the given figure it is noticed that the point C lies on positive y-axis and point C" lies on negative x-axis.

It means the figure is rotated either counterclockwise 90° or clockwise 270°. The rotation rule is

(x,y)\rightarrow (-y,x)

The corresponding sides of image A"B"C" are smaller than the preimage ABC.  

k=\frac{A"B"}{AB}=\frac{3}{6}=\frac{1}{2}

Since k<0, therefore the transformation shows the reduction. The dilation rule is

(x,y)\rightarrow (-\frac{1}{2}y,\frac{1}{2}x)

A(-3,0)\rightarrow (-\frac{1}{2}(0),\frac{1}{2}(-3))\rightarrow (0,-1.5)

B(3,0)\rightarrow (-\frac{1}{2}(0),\frac{1}{2}(3))\rightarrow (0,1.5)

C(0,5.2)\rightarrow (-\frac{1}{2}(5.2),\frac{1}{2}(0))\rightarrow (-2.6,0)

Option B is correct.

4 0
3 years ago
Read 2 more answers
Marco wants to buy a new smartphone that costs $495, with some additional accessories. He has already saved $75. Write and solve
antoniya [11.8K]

Marco needs to save a minimum of $420 more to buy a smartphone.

<u>Explanation:</u>

Cost of a smartphone = $495

Savings = $75

Least amount of money, m that needs to be saved = ?

Additional savings, m = Total - initial savings

                              m = $495 - $75

                              m = $420

The inequality equation would be 75 + m ≥ 495

Therefore, Marco needs to save a minimum of $420 more to buy a smartphone.

4 0
3 years ago
a staind window has an area of 900 square inches one window design is made of rectangles stained glass pieces that are 5 inches
sp2606 [1]

5x3=15

900/15=60

60 pieces make up the window

7 0
3 years ago
What is 12 divided by 3/4?
kap26 [50]
12 ÷ 3/4:

First, there are many ways to divide a whole number by a fraction. In my way, I take acknowledgment to the rules. There are other ways to do this, like the reciprocal way. To first get started, I'm going to give you the rule which is: (a ÷ b/c = a × c/b). We can now replace our numbers in the variables place.
12 \times  \frac{4}{3}

Second, we can simplify. To do so, (12 × 4 = 48). 48 is our new numerator while we keep the denominator we started out with (3). 
\frac{48}{3}

Third, this is where long division comes in handy. I can't exactly do it on a website, but I am going to try. It is best if done on a piece of paper.

\Mydiv3{%&#10;$\strut#$\kern.25em\smash{\raise.3ex\hbox{$\big)$}}$\mkern-8mu&#10;        \overline{\enspace\strut#48}$} \\ \sf Multiply \ 4 \div \ 3 =1 \ (remainder \ 1) \\ \sf Bring \ down \ 8 \\ \sf 18 \div 3 = 6 \\ \sf 48 \div 3 = 16

Answer: \fbox {16}
3 0
3 years ago
What does this mean?
anyanavicka [17]
8 is in the hundreds place
1 is in the tens place
7 is in ones or units place
7 0
3 years ago
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