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aliya0001 [1]
3 years ago
7

Choose all the numbers that are multiples of 7. 7 28 34 49 21 54 63

Mathematics
1 answer:
Alecsey [184]3 years ago
5 0
The numbers are 7, 28, 49, 21, 63
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The force, F, needed to break a board in a martial arts class varies inversely with the length, L, of the board. If it takes 24
9966 [12]

Answer:

it would take 40 pounds of pressure to break the board.

Step-by-step explanation:

F = \frac{x}{L}

Now we plug in the numbers of force and length

24 =\frac{k}{2.5}

Now we multiply both sides by 2.5 to get rid of the fraction.

60=x

Now we plug in our variation constant

F=\frac{60}{L}

So we convert the length of 2.5 feet into inches. This is 18 inches. Since there are 12 inches in one foot, we have that 18 inches is equal to 18 divided by 12.

18÷12=1.5

We get that 18 inches is equal to 1.5 feet

we plug L = 1.5 into our inverse variation equation and solve for F.

F=\frac{60}{1.5}

This simplifies to F = 40

If you have any questions feel free to ask in the comments - Mark

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4 0
3 years ago
Use your knowledge of the process of "Writing an equation given two points" to solve the following problem: A vendor has learned
nydimaria [60]

Answer: Our required linear equation would be x+48y=148

Step-by-step explanation:

Since we have given that

Cost of deep fried bananas on a stick = $1.00

Number of sales reached = 100 per day

Cost of deep fried bananas on a stick becomes = $2.00

Number of sales reached = 52 per day.

Let x is the number of dollars each.

Let y be the number of vendors sale.

So, we need to form the linear equation:

As we know the formula for two point slope form:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-1=\dfrac{2-1}{52-100}(x-100)\\\\y-1=\dfrac{1}{-48}(x-100)\\\\-48(y-1)=(x-100)\\\\-48y+48=x-100\\\\-48y=x-100-48\\\\-48y=x-148\\\\x+48y=148

Hence, our required linear equation would be x+48y=148

3 0
3 years ago
Drag and drop the equation to correctly complete the sentence.
Klio2033 [76]

Answer:

y= 2x - 11

Step-by-step explanation:

(-7 +1 )/ (2-5) = 2

y= 2x +b

-1 = 2* 5 + b

solve for b and you get -11 so the equation of the line is :

y = 2x -11

4 0
3 years ago
A triangle has two sides that measure 4ft. and 3ft. Which could be the measure of the 3rd side?
Aneli [31]
In order to form a triangle, the third side must be at least greater than the difference of the other two sides
4 - 3 = 1 So the third side must be greater than 1 foot and the third side must be less than the sum of the other two sides
4 + 3 = 7 So, the third side must be less than 7

1 < third side < 7




4 0
3 years ago
the initial cost to set up a website is $48. it cost $44 per month to maintain the website . how many months will you be able to
Delicious77 [7]

We would start with 400 - 48, to cover the initial cost. We would be left with 352 dollars to spare for the monthly bill. 352 divided by 44, which is the monthly cost, would be 8. The website could be set up and held for 8 or 9 months, depending on if the initial cost is paid at the same time or before the first monthly one.

8 0
3 years ago
Read 2 more answers
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