Step-by-step explanation:
A quotient is a fraction.
A sum is addition.
A variable is an unknown number shown by using a letter.
Therefore, the answers for quotient and variable in this picture should be switched. However, the negative sign has to be included, so the quotient should be a -9/y.
Answer:
a, the following expression equals 13
Answer:
3 is greater than -4, but the line with slope -4 is steeper than the line with slope 3.
Step-by-step explanation:
3 is greater than -4, so strictly speaking, a slope of 3 is greater than a slope of -4.
On the other hand, the steepness of a line depends on the absolute value of the slope.
|3| = 3
|-4| = 4
Since 4 > 3, the line with slope -4 is steeper than the line with slope 3.
Answer: 3 is greater than -4, but the line with slope -4 is steeper than the line with slope 3.
Option B is correct. <em>Yes,</em><em> (9, 22) is a solution to the </em><em>inequalities</em><em> and the</em><em> measurements</em><em> will fit in the space. </em>
The formula for calculating the perimeter of the rectangular fence is expressed as:
A = 2(L + W) where:
L is the length
W is the width
If Jamie can afford at most 70feet to build a rectangular fence is expressed as:
2L + 2W ≤ 70
<em>We are to check if the garden measure 9 feet by 22 feet. To do this we are to substitute L = 9 and W = 22 into the formula to check if the result will be less than 70</em>
On substituting:
= 2(9) + 2(22)
= 18 + 44
= 62 feet
Since 63 feet is less than 70 feet, hence we can conclude that <em>Yes,</em><em> (9, 22) is a solution to the </em><em>inequalities</em><em> and the</em><em> measurements</em><em> will fit in the space. </em>
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<em>Learn more here: brainly.com/question/17229451</em>
Answer:
Value of b =
=1.25.
Step-by-step explanation:
Direct Variation states that a relationship between two variables in which one is a constant multiple of the other.
*if one variable changes the other changes in proportion to the first.
*If a is directly proportional to b i.e,
then it is of the form
a = kb ;where k is constant variation.
Given: a varies directly as b;
then, by definition of direct variation;
we have;
.....[1]
Substitute the value of a =28 and b =7 to solve for k;

Divide both sides by 7 we have;

Simplify:
k =4
now, find b using same method when a =5;
then;
after substituting the value of a = 5 and k=4 in [1] ;

Divide by 4 to both sides we get;

Therefore, the value of b =
=1.25