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inysia [295]
2 years ago
14

What is the solution to this inequality?

Mathematics
1 answer:
Reika [66]2 years ago
3 0
<h3>Answer:  Choice A)   d > 5</h3>

Work Shown:

-4(d-2) < -12\\\\-4d+8 < -12\\\\-4d < -12-8\\\\-4d < -20\\\\d > -20/(-4)\\\\d > 5

In the second to last step, the inequality sign flips because we divided both sides by a negative number.

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Lisa ran 1/2 of a mile John R and 242 Mi what's girl ran further
julia-pushkina [17]

The fraction that has been given illustrates that the person who ran further is Jane.

<h3>How to solve fraction</h3>

Your information isn't complete. Therefore, an overview of the fraction will given.

Let's assume that Lisa ran 1/2 of a mile and Jane ran 3/4 of a mile. In order to know who ran more, you can convert the fraction to percentage.

This will be:

Lisa = 1/2 × 100 = 50%

Jane = 3/4 × 100 = 75%

Therefore, Jane ran more.

Learn more about fractions on:

brainly.com/question/78672

4 0
2 years ago
What is the slope of a line that is perpendicular to the line y=-1/3x-6?
max2010maxim [7]
Y=-1/3x-6, for this line, the slope (m) is -1/3.
This is because the equation is in the slope intercept form: y = mx + b.
The perpendicular line to one with m = -1/3, is the negative reciprocal of m, we'll call it m2.
m2 = --3/1 = +3/1 = 3
4 0
3 years ago
The simple interest on a certain sum for 5years at 8% per annum is Rs200 less than the simple interest on the same sum for 3year
Paha777 [63]

Answer:

Step-by-step explanation:

The simple interest on a certain sum for 5years at 8% per annum is Rs200 less than the simple interest on the same sum for 3years and 4months at 18% per annum.Find the sum​

The formula for Simple Interest = PRT

From above question, we have to find the Principal

The simple interest on a certain sum for 5years at 8% per annum is Rs200

Hence,

R = 8%

T = 5 years

Rs 200 = P × 8% × 5

P = 200/8% × 5

P = Rs500

The principal = Rs 500

The simple interest on the same sum for 3years and 4months at 18% per annum.

Simple Interest = PRT

R = 18%

T = 3 years and 4 months

Converted to years

T = 3 + (4 months/12 months)

T = 3.33 years

Hence,

Simple Interest = Rs 500 × 18% × 3.33 years

= Rs 299.7

7 0
3 years ago
John has a boat that will travel at the rate of 15 kph in still water. He can go upstream for 35 km in the same time it takes to
Otrada [13]

Answer:

The boat traveling at 24 kph when John goes downstream.

Step-by-step explanation:

We are given the following in the question:

John has a boat that will travel at the rate of 15 kph in still water.

Let x be the speed of the current.

Speed of boat in upstream

(15-x)\text{ kph}

Speed of water in downstream

(15+x)\text{ kph}

Relation:

\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}

We have to find the speed of boat in downstream.

Time to travel upstream for 35 km = Time to travel  140 km downstream

\displaystyle\frac{35}{15-x}=\frac{140}{15+x}\\\\35(15+x) = 140(15-x)\\525 + 35x = 2100 - 140x\\175x = 1575\\x = 9

Thus, speed of current is 9 kph.

Speed of boat in downstream = 15 + 9 = 24 kph.

Thus, the boat traveling at 24 kph when John goes downstream.

4 0
3 years ago
Which Of The Following Is The Factored Form Of The Expression 18 + 12
oee [108]
Correct answer is 
<span>C. 6(3 + 2)</span>
4 0
3 years ago
Read 2 more answers
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