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3 years ago

The sum of a number and two times a smaller number is 98. The bigger number is 22 less than three times the smaller number.

2 answers:

8 0

B>a

b=3a-22, b+2a=98, using b from the left in the right: 

3a-22+2a=98 

5a-22=98 

5a=120 

a=24, and since b=3a-22, 

b=50 

So the smaller number is 24 and the larger number is 50.

madreJ [45]3 years ago

6 0

X and y
y is smaller

sum of a number and 2 times a smaler is 98
x+2y=98

bigger is 22 less than 3 times smaller
x=-22+3y

sub -22+3y for x in first equation

-22+3y+2y=98
-22+5y=98
add 22 to both sides
5y=120
divide both sides by 5
y=24

sub back
x=-22+3y
x=-22+3(24)
x=-22+72
x=50

the numbers are 24 and 50

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The data shows the speed, in miles per hour, of motorists on a stretch of road.

melomori [17]

Answer:

i. 18 miles per hour is an outlier

ii. the outlier decreases the mean speed

Step-by-step explanation:

An outlier in a given data is one of the values that is far greater or lesser compared to others. It affect the mean and standard deviation of a given data significantly.

From the given data, 18 is far too small compared to other values. This is certainly an outlier. This would affect the mean speed by decreasing the value.

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3 years ago

Polygon ABCD is reflected and dilated to give polygon PQRS. The coordinates of the preimage are (2, 2), (6, 8), (12, 8), and (16

HACTEHA [7]

Answer: The scale factor of the dilation is 0.5.

Explanation:

It is given that ABCD is polygon which is reflected and dilated , then we get PQRS.

The vertices of ABCD are (2, 2), (6, 8), (12, 8), and (16, 2) respectively. The vertices of image PQRS are (11, 15),(9, 12), (6, 12), and (4, 15) respectively.

The reflection affects the coordinates but does not affect the length of the sides.

But when we talk about dilation it affects the length of sides according to the scale factor or a constant factor.

If a line segment AB is dilated by scale factor k then length of A'B' is k times length of AB.

$|A'B'|=k\times |AB|$ .... (1)

So we have to find any side length of preimage and the side length of that side in image. it means we have to find AB and PQ.

Use distance formula to find the side length.

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$AB=\sqrt{(8-2)^2+(6-2)^2}=\sqrt{36+16}=2\sqrt{13}$

$PQ=\sqrt{(9-11)^2+(12-15)^2}=\sqrt{4+9}=\sqrt{13}$

It is noticed that the size of side in preimage is $2\sqrt{13}$ and the size of same side in image is $\sqrt{13}$ .

Using equation (1), we get

$\sqrt{13}=k \times 2\sqrt{13}$

$k=\frac{1}{2}$

$k=0.5$

Hence, the value of scale factor is 0.5.

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3 years ago

Read 2 more answers

Im Confused… ( The question is in the image )

erma4kov [3.2K]

Answer:

488

Step-by-step explanation:

Area of rectangle: 17 x 22 = 374

Area of triangle: 22 - 10 = 12

0.5(12 x 19) = 114

Add them together: 374 + 114 = 488

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3 years ago

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morpeh [17]

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3 years ago

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I'm guessing 99.65
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3 years ago

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