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Nutka1998 [239]

3 years ago

10

Marta's jump rope is 10" shorter than four times the length of Dilbert's rope. If both their ropes laid together end to end and

measured 120" long, how long is Marta's rope?

1 answer:

sladkih [1.3K]3 years ago

3 0

Answer:

Marta's rope is 94"

Step-by-step explanation:

D = dilberts rope length

M = marta's rope length

Marta's jump rope is 10" shorter than four times the length of Dilbert's rope

M = 4D-10

both their ropes laid together end to end and measured 120" long

M+D = 120

Substitute 4D-10 for M in the second equation

4D-10 + D = 120

Combine like terms

5D-10=120

Add 10 to each side

5D-10+10 =120+10

5D =130

Divide by 5

5D/5 = 130/5

D =26

Now we need to find M

M+D = 120

M +26 = 120

Subtract 26 from each side

M = 120-26

M = 94

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Write the sentence as an inequality. A number t multiplied by -4 is at least −2/5

OleMash [197]

Answer:

We conclude that 'A number t multiplied by -4 is at least −2/5' can be algebraically written as inequality such as:

-4t ≥ -2/5

Step-by-step explanation:

Given

A number t multiplied by -4 is at least −2/5

To determine

Write the sentence as an inequality.

For the inequalities, when we mention 'at least', we can term it as 'greater than or equal to' symbol such as '≥'.

It is stated that A number t multiplied by -4 is at least −2/5.

Let 't' be the number.

Multiplying t by -4 is: -4t

Thus, A number t multiplied by -4 is at least −2/5 will be written as:

-4t ≥ -2/5

Therefore, we conclude that 'A number t multiplied by -4 is at least −2/5' can be algebraically written as inequality such as:

-4t ≥ -2/5

7 0

3 years ago

I need help on these question ASAP!!!! This is Urgent

GarryVolchara [31]

Part 1: The equation of the line is $y=2x+1$

Part 2: The equation of the line in slope intercept form is $y=-3x-1$

Explanation:

Part 1: It is given that the point A is $(1,3)$ and the line B is $y=2 x-2$

To determine the line passing through the point A and parallel to line B, let us first determine the slope and y-intercept.

From the equation of line B, the slope is $m=2$

Substituting the point $(1,3)$ and $m=2$ in slope intercept form $y=mx+b$ , we have,

$3=2(1)+b$

$3=2+b$

$1=b$

Thus, the y-intercept is $b=1$

Let us substitute the values $m=2$ and $b=1$ in the slope intercept form $y=mx+b$ , we get,

$y=2x+1$

Thus, the equation of the line passing though point A and parallel to line B is $y=2x+1$

Part 2: The given two coordinates are $(-1,2)$ and $(1,-4)$

To determine the equation of line in slope intercept form, first we shall find the slope and y-intercept.

From the graph, we can see that the line touches the y-axis at -1.

Hence, the y-intercept is $b=-1$

The formula for slope is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substituting the coordinates $(-1,2)$ and $(1,-4)$ , we have,

$m=\frac{-4-2}{1+1} =\frac{-6}{2} =-3$

Thus, the slope is $m=-3$

Substituting the values $b=-1$ and $m=-3$ in the slope intercept formula $y=mx+b$ , we get,

$y=-3x-1$

Thus, the equation of the line in slope intercept form is $y=-3x-1$

4 0

3 years ago

1.Find the next three terms in the sequence. -2 , -5 , -8, -11 , ...

nikklg [1K]

The next 3 terms would be: -14, -17, and -20 (the pattern is your -3 each time) the 100th term would be -279 i think because there is 93 spots left after the first 7 terms, so 93 x -3 = -279

3 0

2 years ago

Estimate the volume of the prism 6.8 ft 0.0 ft 0.6 ft

Degger [83]

Answer: If rounded it would be 13 (together not rounded).... If not its would be 12(not rounded)

Step-by-step explanation: 6.8 is about to 7,.... and 0.0 is just 0..... and 0.6 is close to 0.5 all together would be 13 but if we round it would be 12

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3 years ago

Help plz I'm desperate

lutik1710 [3]

<u>Anna:</u>

1st month = 18 + $\frac{3}{4}$ = 18 $\frac{3}{4}$ inches

2nd month = 18 $\frac{3}{4}$ + $\frac{3}{4}$ = 19 $\frac{1}{2}$

3rd month = 19 $\frac{1}{2}$ + $\frac{3}{4}$ = 20 $\frac{1}{4}$

4th month = 20 $\frac{1}{4}$ + $\frac{3}{4}$ = 21

5th month = 21 + $\frac{3}{4}$ = 21 $\frac{3}{4}$

<u>Grace:</u>

Because Anna is $\frac{9}{4}$ inches shorter than Grace, we can start the count from the third month:

1st month = 20 $\frac{1}{4}$

2nd month = 21

3rd month = 21 $\frac{3}{4}$

4th month = 21 $\frac{3}{4}$ + $\frac{3}{4}$ = 22 $\frac{1}{2}$

5th month = 22 $\frac{1}{2}$ + $\frac{3}{4}$ = 23

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3 years ago