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tatuchka [14]
3 years ago
8

Item 14 A student solves the inequality −6v>42. Each step in the student's solution is shown below. Identify where the studen

t made any errors.
Mathematics
1 answer:
Marizza181 [45]3 years ago
5 0

Answer:

Step-by-step explanation:

Given the inequality solved by a student expressed as:

-6v>42

To get v, follow the simple steps

Step 1: multiply both sides by -1

-6v>42

-1(-6v)<-1(42)

6v < 42 (Note that when you multiply both sides of an inequality by a negative sign, the inequality sign will change)

Step 2: Divide through by 6

6v < 42

6v/6 < 42/6

v < 7

Hence the range of values of v are the values of v less than 7

Since we are not  given the options, you can compare the solution given with that of the student to figure out the error. The major error that may happen is the different not changing the inequality sign after multiplying or dividing with a negative value as shown.

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8<br> .<br> y = 3x - 2<br> m=<br> b=
yan [13]

Answer:

m is 3 since it's the slope and b is -2 since its the y-intercept

Step-by-step explanation:

the formula is y=mx+b so 3 is in the m spot and -2 is in the b spot.

5 0
3 years ago
Read 2 more answers
Justify your reasoning when solving the equation: 3(x+4)=8x-18
vampirchik [111]

Answer:

6

Step-by-step explanation:

3x plus 12= 8x -18

subtract twelve on both sides:

3x= 8x- 30

minus 8x on both sides:

-5= -30

divide:6

3 0
3 years ago
Ivan and Tanya share £150 in the ratio 4: 1<br>Work out how much more Ivan gets compared to Tanya.​
Anastasy [175]

Answer:

Ivan got £90 more than Tanya.

Step-by-step explanation:

Ivan and Tanya share the amount £150 in the ratio of 4 : 1

Amount received by Ivan = 150\times \frac{4}{(4+1)}

                                          = 150\times \frac{4}{5}

                                          = £120

Similarly, amount received by Tanya = 150\times \frac{1}{(4+1)}

                                                             = £30

Difference in their amounts = 120 - 30

                                              = £90

Therefore, Ivan got £90 more than Tanya.                                                                                                        

7 0
3 years ago
1. There are two differnt maps of Ohio. The scale on the first map is 1 cm to 10 km. The distance from Cleveland to Cincinnati i
xeze [42]

Answer:

1.  0.8 cm

2.  1.6 cm

Step-by-step explanation:

1.

The scale for 2nd map is 1 cm to 50 km, that means "1 cm on map" is "50 km in real life".

We already know distance from Cleveland to Cincinnati is 40 km, which is less than 50, so we know the distance on map would be less than 1 cm.

So we set up ratio and figure out (let x be distance on map from Cleveland to Cincinnati):

\frac{1}{50}=\frac{x}{40}\\50x=40\\x=\frac{40}{50}\\x=0.8

Hene, 0.8 centimeters would be the distance in 2nd map

2.

A scale of 1:50 means 1 cm equal 50 cm

So, 0.8m would be

0.8 * 100 = 80 cm

Hence, 80 cm would be represented by 80/50 on the map, that is:

\frac{80}{50}=1.6

That is 1.6 centimeters

7 0
3 years ago
I really need some help so pls someone help me
Gemiola [76]

Answer:

its b ez

Step-by-step explanation:

5 0
3 years ago
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