MATHEMATICS HIGH SCHOOL

At a store, ice cream cones cost $1.80 and sundaes cost $3.30. One day the receipts for a total of 148 cones and sundaes were $360.90. How many cones were sold? How many sundaes?

Answers

Answer 1
Answer:

X= cones; y= sundaes

1.80x + 3.30y = 360.90 -------(i)

x + y = 148 -----------(ii)

from (ii) y= 148-x

1.80x + 3.30(148-x) = 360.9

1.80x + 488.4 + 3.30x = 360.9

1.5x = 127.5

x  = 85 cones

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Amy had 4 pieces of string that were cut in various lengths. the string lengths are 407.3, 470.8, 407.1 and 470.3. which shows the lengths in order from least to greatest?

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407.1, 497.3, 470.3, 470.8

How to solve this ?

Answers

-x-3y=-26

6x+3y=21

---------------

3y cancels out.

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An animal shelter has a ratio of dogs to cats that's 3:2. If there are 30 cats at the shelter, how manydogs are there?
A. 15
B. 90
C. 20
D. 45

Answers

In the question "An animal shelter has a ratio of dogs to cats that's 3:2. If there are 30 cats at the shelter, how many dogs are there" the correct answer is 45 (option D). To solve the problem, let the number of dogs be x, then dogs / cats = 3 / 2 = x / 30. i.e. 2x = 3(30) = 90. x = 90 / 2 = 45. Therefore, there are 45 dogs in the animal shelter.

An animal shelter has a ratio of dogs to cats that's 3:2. If there are 30 cats at the shelter, 45 dogs are there . 3/2 = x/30 , x= 30*3/2 =45

Removing which point from the coordinate plane would make the graph a function of x? On a coordinate plane, points are at (negative 2, negative 3), (negative 2, 1), (negative 4, 3), (0, 4), (1, 1), and (2, 3).

Answers

Answer: The first or the second point (- 2, - 3) or (- 2, 1)

Step-by-step explanation:

Ok, a relation (x, y) is a function only if, for each value x in the domain, we have only one value y in the range such that:

f(x) = y.

Here we have the pairs:

(- 2, - 3), (- 2, 1), (- 4, 3), (0, 4), (1, 1), and (2, 3).

Here, for the value x = -2, we have two different values of y.

y = 1 and y = 3.

So this is not a function, then if we want that this relation becomes a function, we must remove the first or the second point.

Answer:

I think B

Step-by-step explanation:

A copier prints 80 pages in 5 minutes. Which unit rate represents this ratio?

A.80 pages per 5 minutes

B.40 pages per 2.5 minutes

C.32 pages per minute

D.16 pages per minute

Answers

The correct answer is D, 16 pages per minute. A unit rate is a ratio of something to one; in this case, the ratio is 16:1, or 16 pages to 1 minute. To get the unit rate for this problem, divide both numbers by 5 to get how many pages will be printed per 1 minute. 80/5 = 16, so the copier prints 16 pages in 1 minute. Answer choices A and B are not unit rates, and answer choice C is the incorrect unit rate.

Hope this helps!

Triangle UVW is drawn with vertices at U(−1, 1), V(0, −4), W(−4, −1). Determine the coordinates of the vertices for the image, triangle U′V′W′, if the preimage is rotated 90° counterclockwise

Answers

The coordinates of the vertices for the image, triangle U′V′W′, if the preimage is rotated 90° counterclockwise include the following:

U' = (1, 1).

V' = (-4, 0).

W' = (-1, 4).

What is a rotation?

In Mathematics and Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).

By applying a rotation of 90° counterclockwise to the vertices of triangle UVW, the coordinates of the vertices of the image are as follows:

(x, y)                               →            (-y, x)

Ordered pair U = (-1, 1)   →  Ordered pair U' = (1, -(-1)) = (1, 1).

Ordered pair V = (0, -4)   →  Ordered pair V' = (-4, -(0)) = (-4, 0).

Ordered pair W = (-4, -1)   →  Ordered pair W' = (-1, -(-4)) = (-1, 4).

Read more on rotation here: brainly.com/question/28854313

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