You know that 15% of a number n is 12. How can you use this to find 30% of n? 45% of n? Explain.

Answer:

45

Step-by-step explanation:

Answer:

answer is C

Step-by-step explanation:

Alyssa can design her garage with dimensions that are factors of 240 square feet. Possible dimensions range from 1 ft x 240 ft to 15 ft x 16 ft, with more practical and reasonable options being dimensions that are narrower but still close to a square, such as 12 ft x 20 ft or 15 ft x 16 ft.

The question regarding Alyssa's garage design involves finding all the pairs of whole numbers that multiply to give an area of 240 square feet for a rectangular floor. To determine this, we must find the factors of 240 that can serve as potential lengths and widths of the garage.

Factors of 240 that represent possible lengths and widths (where the first number in each pair is the length and the second is the width) are:

However, choosing the dimensions that are reasonable for a garage floor requires considering practicality. Very long and narrow rectangles, such as 1 ft x 240 ft or 2 ft x 120 ft, are not practical for a garage. Usually, dimensions that are closer to square but still rectangular, like 12 ft x 20 ft or 15 ft x 16 ft, are more suitable and reasonable for a garage.

Answer:

Elias is not correct. The new rectangle will be an enlargement because the scale factor is greater than 1. To be a reduction, the scale factor must be between 0 and 1.

Scale factor less than 1 gives the expanded form of the figure so Elias is wrong.

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

The scale factor is done due to the unpractical measurement of any figure.

If the dimension of any figure is 2 units by using scale factor 2/1 it will become 2 × scale factor ⇒ 2 × 2/1 = 4

Similarly,

Scale factor 8/3 creates all dimensions by a factor of 8/3 = 2.67 so all dimensions will be going to expand.

Hence "Scale factor less than 1 gives the expanded form of the figure so Elias is wrong".

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Answer:

Step-by-step explanation:

We can express the charge made by the companies as equations.

The charge made by the Company A starts at 35 cents, and cost 3 additional cents per minute. We can write this as:

[tex]charge_A(t)= 35 \ c + 3 \ \frac{c}{min} * t[/tex]

where t is the length of the call in minutes. For the company B the charge starts at 45 cents, and cost 2 additional cents per minute. This is:

[tex]charge_B(t)= 45 \ c + 2 \ \frac{c}{min} * t[/tex].

Now. At what length t' the cost of the phone call is the same? We can write the condition as:

[tex]charge_A(t')= charge_B(t')[/tex]

this means:

[tex]35 \ c + 3 \ \frac{c}{min} * t'= 45 \ c + 2 \ \frac{c}{min} * t'[/tex]

doing a little work...

[tex]35 \ c + 3 \ \frac{c}{min} * t' - 35 \ c = 45 \ c + 2 \ \frac{c}{min} * t' - 35 \ c[/tex]

[tex]3 \ \frac{c}{min} * t'= 10 \ c + 2 \ \frac{c}{min} * t'[/tex]

[tex]3 \ \frac{c}{min} * t' - 2 \ \frac{c}{min} * t'= 10 \ c[/tex]

[tex] 1 \ \frac{c}{min} * t'= 10 \ c[/tex]

[tex] \frac{1 \ \frac{c}{min} * t'}{1 \ \frac{c}{min}}= \frac{10 \ c}{1 \ \frac{c}{min}}[/tex]

[tex] t'= 10 min [/tex]

And this is the length of time we are looking for.

1. Identity Property of Multiplication: [tex]\(1 \times (a+3) = a+3\)[/tex]

2. Associative Property of Multiplication: [tex]\((ab) c = c (ab)\)[/tex]

3. Associative Property of Multiplication: [tex]\(m (nr) = (mn) r\)[/tex]

4. Associative Property of Addition: [tex]\(2p + (3q+2) = (2p +3q) + 2\)[/tex]

5. Zero Property of Multiplication: [tex]\(2t \times 0 = 0\)[/tex]

6. Identity Property of Addition: [tex]\(0+ 2s = 2s\)[/tex]

1. Identity Property of Multiplication: [tex]\(1 \times (a+3) = a+3\)[/tex]

  - The identity property of multiplication states that any number multiplied by 1 equals the number itself.

2. Associative Property of Multiplication: [tex]\((ab) c = c (ab)\)[/tex]

  - The associative property of multiplication states that the grouping of factors does not affect the result of multiplication.

3. Associative Property of Multiplication: [tex]\(m (nr) = (mn) r\)[/tex]

  - Similar to statement 2, this demonstrates the associative property of multiplication.

4. Associative Property of Addition: [tex]\(2p + (3q+2) = (2p +3q) + 2\)[/tex]

  - The associative property of addition states that the grouping of terms does not affect the result of addition.

5. Zero Property of Multiplication: [tex]\(2t \times 0 = 0\)[/tex]

  - The zero property of multiplication states that any number multiplied by 0 equals 0.

6. Identity Property of Addition: [tex]\(0+ 2s = 2s\)[/tex]

  - The identity property of addition states that adding 0 to any number does not change the value of the number itself.

Complete question:

Name the property shown by each statement

1. 1 * (a+3) = a+3

2. (ab) c = c (ab)

3. m (nr) = (mn) r

4. 2p + (3q+2) = (2p +3q) + 2

5. 2t * 0 = 0

6. 0+ 2s = 2s

Final answer:

The question deals with an inequality representing that the product of an unknown number and 4 is at least -12, resulting in a solution where the number must be greater than or equal to -3.

Explanation:

The question 'The product of a number and 4 is at least -12' can be translated into the inequality 4x ≥ -12, where x represents the number. To solve this, divide both sides of the inequality by 4, which follows the multiplication rules for the sign. This gives us x ≥ -3. So, the number must be greater than or equal to -3.

This is consistent with the fact that when two negative numbers multiply, the answer is positive, and when a positive and a negative number multiply, the answer is negative.

The product of 0.51 x 2.427 is 1.23777 will have five decimal places, therefore, Diego is correct

= 0.51 x 2.427 = 1.23777

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Cindy's shortcut will not work because;

She made a mistake by not multiplying the 2 tens by 3 .

Now, for 24; 2 is the tens digit and 4 is the units digit.

This means according to partial products, we can rewrite 24 as; (2 × 10) + (4 × 1)

Now, to multiply 3 by (2 × 10) + (4 × 1) gives the expression;

3[(2  × 10) + (4 × 1)]

3(2  × 10) + 3(4 × 1)

This corresponds with the solution i got which is 3(4 × 1) = 12.

Now, the second part of the solution is; 3(2  × 10) = 60

But she just used 2 tens which is (2 × 10) = 20.

This means she failed to multiply 2 tens by 3 and that was her mistake.

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Answer:

The correct answers are 15 and 16.

Step-by-step explanation:

First we must assume the information.

We know that the total miles traveled is 617.3.

Every 41 miles, Karl spent 1 gallon of gas.

What we need to find out now is to estimate the total number of gallons of gas Karl used.

We will do it with the following equation:

If for 41 miles ------- 1 gallon

For 617.3 miles ------ x Gallon

41. x = 617.3 . 1

And we just have to clear the x:

X = 617.3 / 41

X = 15.05

Because they ask us for an approximate logic result, we can say that the correct options are 15 or 16 gallons of gas.

2x + 5 is the expression for the calculation double 2 then add 5.

The given statement is double 2 then add 5.

We have to make an expression using this statement.

We will separate the statement into two parts.

- Double 2

- Add 5

We need to assume a number and let that number be x.

So first we need to double that number as 2x and add 5.

We have,

2x + 5

Thus 2x + 5 is our expression.

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Alyson needs 4 more beads so that she will be left with no remaining beads.

Alyson has 46 beads and each bracelet requires 5 beads. To find out how many more beads Alyson needs, we first divide the total number of beads she has by the number of beads per bracelet. This initial calculation is 46 divided by 5, which equals 9 with a remainder of 1. Since we cannot create a partial bracelet, we see that Alyson can make 9 complete bracelets with the beads she has, using up 45 beads (9 bracelets times 5 beads per bracelet). However, she is left with 1 bead.

To ensure there are no beads leftover, Alyson needs enough beads to make one more complete bracelet. Since each bracelet requires 5 beads, and she has 1 bead left after making 9 bracelets, she would need 4 more beads to make the 10th bracelet. Hence, Alyson would need to acquire 4 more beads to use all her beads without any remaining.

Area of a square = side²

Area of a rectangle = Length x Wide

The number of square brownies cut from the pan is 24 brownies.

A Square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given as side².

We have,

Brownie dimensions:

Length = 18 inches

Wide = 12 inches

Area of a rectangle = Length x Wide

Area of the Brownie

= 18 x 12

= 216 square inches

The brownies are cut into squares:

Side = 3 inches

Area of the square brownies.

= 3 x 3

= 9 square inches

Now,

The number of squares with sides of 3 inches cut from the Brownie.

= Area of the brownies / Area of the square brownies

= 216 / 9

= 24

Thus,

The number of square brownies cut from the pan is 24 brownies.

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The lowest temperature on May 15 was 60 °F, then the warmest temperature will be equal to 90 °F.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

The lowest temperature of May 15, L = 60 °F

Let the warmest temperature on May 15 is x.

The  lowest temperature on May 15 is 2 thirds as warm,

Then, the equation according to this will be,

L = 2/3x

60 = 2/3x

x = (60 × 3)/2

x = 90 °F

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