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melomori [17]
3 years ago
12

Solve: -4 <-2x + 2 < 10

Mathematics
1 answer:
kvv77 [185]3 years ago
4 0

Answer:

3 > x > − 4 and your welcome bud

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A box of oat cereal costs $3.90 for 15 ounces. A box of rice of cereal costs $3.30 for 11 ounces. Which box of cereal costs less
Firlakuza [10]

Answer:

The cost of per ounce of oat cereal is $0.04 less than per ounce cost of rice.

Step-by-step explanation:

Given:

Cost of 15 ounces of oat cereal box = $3.90

Cost of 11 ounces of rice box = $3.30

To compare the unit prices of the the boxes.

Solution:

Using unitary method to find the unit prices:

If 15 ounce of oat box cost =$3.90

∴ 1 ounce of oat cereal would cost = \$\frac{3.90}{15}=\$0.26

∴ Per ounce cost of oat cereal = $0.26

If 11 ounce of rice box cost =$3.30

∴ 1 ounce of rice would cost = \$\frac{3.30}{11}=\$0.3

∴ Per ounce cost of rice = $0.3

Difference in unit costs of oat and rice = \$0.3-\$0.26=\$0.04

On comparing the the unit costs of oats and rice, we find out that the cost of per ounce of oat cereal is $0.04 less than per ounce cost of rice.

3 0
4 years ago
Jamie decides to build an accessibility ramp to help students reach the top of a set of stairs. If BI is 24 feet and AB is 10 fe
patriot [66]

Answer:

<h2>The measure of elevation is 65.4° above the ground.</h2>

Step-by-step explanation:

The measure of elevation refers to angle of elevation.

The problem forms a right triangle, and we know its hypothenuse and the horizontal leg. Using trigonometric reason we find the angle

cos \theta = \frac{10}{24}\\ \theta = cos^{-1} ( \frac{10}{24}) \approx 65.4

Therefore, the measure of elevation is 65.4° above the ground.

4 0
3 years ago
Graph the image of this figure after a dilation with a scale factor of 2 centered at (2, 2) .
Fofino [41]

Answer:

The points of the dilated figure would be at (-2, 10), (2, 6), and (-8, 4); an image of the figure is attached.

Step-by-step explanation:

First we translate the center of dilation and figure so the origin becomes the center of dilation.

Since the point (2, 2) is our center of dilation, we must translate it left 2 and down 2 to make the origin the center; this means we map every point

(x, y)→(x-2, y-2)

The scale factor of 2 means that each point will be multiplied by 2; this gives us the rule

(x, y)→(2x-4, 2y-4)

Lastly we will translate the figure right 2 and up 2 to move it back to its original position; this gives us the rule

(x,y)→(2x-4+2, 2y-4+2) = (2x-2, 2y-2)

The first point in the original figure, at the top, is (0, 6).  Applying the transformation gives us

(0, 6)→(2*0-2, 2*6-2) = (0-2, 12-2) = (-2, 10)

The point on the right of the pre-image is (2, 4).  Applying the transformation rule gives us

(2, 4)→(2*2-2, 2*4-2) = (4-2, 8-2) = (2, 6)

The point on the left of the pre-image is at (-3, 3).  Applying the transformation rule, we have

(-3, 3)→(-3*2-2, 3*2-2) = (-6-2, 6-2) = (-8, 4)

7 0
3 years ago
Read 2 more answers
What are two different strategies for finding the product of 472 and 33.
Bad White [126]
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4 0
3 years ago
(6x2 - 10x +9)+(-5x2 + 9x-5)=
arsen [322]

Answer:

x² - x + 4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

(6x² - 10x + 9) + (-5x² + 9x - 5)

<u>Step 2: Simplify</u>

  1. Combine like terms (x²):                                                                                x² - 10x + 9 + 9x - 5
  2. Combine like terms (x):                                                                                  x² - x + 9 - 5
  3. Combine like terms (Z):                                                                                     x² - x + 4
6 0
3 years ago
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