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2 years ago

describe the steps you used to solve the equation and find the amount of carries allowance. linear equation: 1/4a+1/3a+8=22

Mathematics

2 answers:

vlabodo [156]2 years ago

7 0

1/4a + 1/3a +8 =22

1st step add like terms:

1/4a +1/3a = 3/12a +4/12a = 7/12a

7/12a +8 =22

2nd step subtract 8 from each side:

7/12a = 14

3rd step divide both sides by 7/12 to get a:

a = 14 / 7/12

a = 24

Brilliant_brown [7]2 years ago

4 0

Answer:

Step-by-step explanation:

1/4a + 1/3a +8 =22

1st step add like terms:

1/4a +1/3a = 3/12a +4/12a = 7/12a

7/12a +8 =22

2nd step subtract 8 from each side:

7/12a = 14

3rd step divide both sides by 7/12 to get a:

a = 14 / 7/12

a = 24

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Step-by-step explanation:

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2 years ago

In the xy-coordinate plane, a line has a slope of −5/3. If the line crosses the y-axis at (0, b), at what point does it cross th

KatRina [158]

Answer:

( $\frac{3}{5}$ b, 0 )

Step-by-step explanation:

The equation of a line in slope- intercept form is

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Here m = - $\frac{5}{3}$ and b = b , thus

y= - $\frac{5}{3}$ x + b ← equation of line

The line crosses the x- axis when y = 0, substitute y = 0 into equation and solve for x, that is

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- 5x + 3b = 0 ( subtract 3b from both sides )

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2 years ago

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2 years ago

Of 28 students taking at least one subject, the number taking Math and English but not History equals the number taking Math but

alexandr1967 [171]

Answer:

The answer is 5 students taking English and Math but not History

Step-by-step explanation:

The total students are 28 which are divided into 5 possible groups with no students taking either English only or History only:

Taking Math only
Taking English and Math but not History
Taking Math and History but not English
Taking English and History but not Math
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The number of students in group 3 is 6. Hence, the total number in group 1, 2, 4 and 5 is: 28 - 6 = 22

Also, the number of students in group 4 is five times the number in group 5, therefore: group 2 + group 5 = 6 times group 5

Additionally, the number of students in group 1 equals that in group 2.

Hence, the equation is: 6 x group 5 + 2 x group 2 = 22 => group 2 = 11 - 3 x group 5 => group 2 = 5 because group 5 is an even number and non-zero, it must be 2.

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