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3 years ago

1. Choose the value for x that would make this inequality true. x > 5

Mathematics

2 answers:

statuscvo [17]3 years ago

8 0

The answer is 7. This is the only number greater than 5.

Rasek [7]3 years ago

6 0

It would be C
x>5
7>5

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ludmilkaskok [199]

Answer:

T=1

Step-by-step explanation: :)

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3 years ago

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After 8/15 of an hour, Jane has completed painting 3/5 of the wall. At this rate, how much of the wall will she finish painting

LuckyWell [14K]

Answer:

Step-by-step explanation:

Find the unit rate for this painting:

3/5 of wall surface 3/5 15 9

------------------------------- = --------------- * --------- = -----------

(8/15) hour 8/15 15 8

Jane could actually paint the whole wall plus 1/8 more of it in one hour.

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3 years ago

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Step-by-step explanation:

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3 years ago

The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its

Elodia [21]

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

Shape: Triangle

Represent the height with h and the base with b

$b = 3 + 2h$

$Area = 22$

Required

Find the length of the base

The area of a triangle is calculated as thus;

$Area = \frac{1}{2} * b * h$

Substitute 22 for Area and 3 + 2h for b

The formula becomes

$22 = \frac{1}{2} * (3 + 2h) * h$

Multiply both sides by 2

$2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h$

$44 = (3 + 2h) * h$

Open the bracket

$44 = 3 * h + 2h * h$

$44 = 3h + 2h^2$

Subtract 44 from both sides

$44 - 44 = 3h + 2h^2 - 44$

$0 = 3h + 2h^2 - 44$

Rearrange

$0 = 2h^2 +3h - 44$

$2h^2 +3h - 44 = 0$

At this point, we have a quadratic equation; which is solved as follows:

$2h^2 +3h - 44 = 0$

$2h^2 + 11h - 8h - 44 = 0$

$h(2h + 11) - 4(2h + 11) = 0$

$(h - 4)(2h + 11) = 0$

Split the above

$(h - 4) = 0\ or\ (2h + 11) = 0$

$h - 4 = 0\ or\ 2h + 11 = 0$

Solve the above linear equations separately

$h - 4 = 0$

Add 4 to both sides

$h - 4 + 4 = 0 + 4$

$h = 0 + 4$

$h = 4$ ---- First value of h

$2h + 11 = 0$

Subtract 11 from both sides

$2h + 11 - 11 = 0 - 11$

$2h = 0 - 11$

$2h = -11$

Divide both sides by 2

$\frac{2h}{2} = -\frac{11}{2}$

$h = -\frac{11}{2}$ ------ Second value of h

Since height can be negative, we'll discard $h = -\frac{11}{2}$

Hence, the usable value of height is $h = 4$

Recall that $b = 3 + 2h$

Substitute 4 for h

$b = 3 + 2(4)$

$b = 3 + 8$

$b = 11$

Hence, the length of the base is 11 meters

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4 years ago

Makayla works at an electronics store as a salesperson. Makayla earns a 4% commission on the total dollar amount of all phone sa

ICE Princess25 [194]

Step-by-step explanation:

1. 4% commission on $1400

= 4/100*1400

=0.04*1400

=$56

2. 3% commission on $800

= 3/100*800

=0.03*800

=$24

total earnings = 56+24

total earnings = $80

1. 4% commission on $pp

= 4/100*pp

=0.04*pp

=0.04pp

2. 3% commission on $cc

= 3/100*cc

=0.03*cc

=0.03cc

total earnings = 0.04pp+0.03cc

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3 years ago