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3 years ago

Solve the equations. Show the solution sets on a number line. Check your answers. |5m−8|+9=10

Mathematics

2 answers:

vaieri [72.5K]3 years ago

7 0

The answer for this is m1=7/5,m2=9/5

Nat2105 [25]3 years ago

3 0

Answer:

|5m-8|+9 = 10

|5m-8| = 10-9

|5m-8|= 1

5m-8= -1 Or. 5m -8= 1

5m = -1+8. 5m = 1+8

M = 7/5. M = 9/5

M= 1.4 M = 1.8

Step-by-step explanation:

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Evaluate the expression below at x = 6.

Natalija [7]

Answer:

Step-by-step explanation:

you can break the 78 into 70 and 8, and multiply them separately by 6 and then add the two answers to get 468

3 0

3 years ago

helium gas accounts for less than 0.01% of Earth's atmosphere gases. write this percentage as a decimal and as a mixed number or

Sphinxa [80]

Answer: 0.01% in decimal form=0.0001 and in fraction form=1/10000

Step-by-step explanation:

Step 1 To convert the percentage in decimal form.

A percentage is a ratio expressed as a fraction of 100.

So, 0.01% means 0.01 out of 100.

Therefore,

0.01%= 0.01/100

0.01%= 0.0001

Step 2: Convert the decimal in fraction form.

Remove the point by dividing by 10000

0.01%= 1/10000

The meaning of the result is that helium account for less than one part per 10000 parts of Earth’s atmosphere gases.

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3 years ago

A survey of 100 families showed that 35 had a dog: 28 had a cat: 10 had a dog and a cat: 42 had neither a cat nor a dog nor a pa

nikdorinn [45]

<h2>Answer:</h2>

Option: C is the correct answer.

C. 5

<h2>Step-by-step explanation:</h2>

We will solve the following problem with the help of the Venn diagram.

Based on the Venn diagram we are asked to find the value of v i.e. those who have parakeet only.

From the information that:

35 had a dog we have:

x+y+10=35

i.e.

x+y=25

Also, based on the information :

28 had a cat we have:

u+z+10=28

i.e.

u+z=18

Also, 42 had neither a cat nor a dog nor a parakeet.

This means it cover the outer region of the three circles.

Total 100 families were surveyed it means that:

42+x+y+10+u+z+v=100

i.e. 42+25+10+18+v=100

i.e. 95+v=100

i.e. v=100-95

i.e. v=5

Hence, the number of families who have only parakeet are: 5

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3 years ago

F(x)=2x^4+7x^3-2x^2-19x-12

kirill115 [55]

what do you need done with this question. like do you need it simplified or facotr by grouping what i need more info

7 0

3 years ago

Determine two pairs of polar coordinates for the point (4, -4) with 0° ≤ θ < 360°.

Ray Of Light [21]

Answer:

Step-by-step explanation:

$4=r cos \theta\\-4=r sin \theta\\square ~and~add\\16+16=r^2(cos^2 \theta+sin^2\theta)\\r^2=32\\ r=4\sqrt{2} \\divide \\tan \theta=-1\\as x is positive ,y is negative ,so \theta lies in 4th quadrant.\\tan \theta=-1=-tan 45=tan(360-45)=tan 315\\\theta=315°\\\\co-ordinates~ are~(r,theta) ~or~(-r,\theta+ -180°)\\hence ~co-ordinates~are(4\sqrt{2} ,315°),(-4\sqrt{2} ,135°)$

7 0

3 years ago