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2 years ago

Tegan needs to make 68 more snow blocks to finish

Mathematics

1 answer:

Sergeu [11.5K]2 years ago

5 0

Answer:

m = 68 - c

Step-by-step explanation:

It is given that Tegan needs to make 68 more snow blocks to finish building an igloo.

Let m be the number of blocks Tegan still needs to make and c be the number of completed blocks.

If total number of required block is 68 and c blocks are completed then the remaining blocks is the difference between 68 and c.

Number of blocks Tegan still needs to make = 68 - c

We know that c represent the number of blocks Tegan still needs to make.

m = 68 - c

Therefore, the required equation is m = 68 - c.

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A car traveled 330 miles during a 5½ hour period. If the speed at which the car traveled can be represented in the equation d=rt

Alina [70]

Answer:

The car was travelling at a speed of 60 miles per hour.

Step-by-step explanation:

Given:

Distance traveled = 330 miles

Time Period = $5 \frac12\ hr$

we need to find the speed of the car .

Solution:

Time Period = $5 \frac12\ hr$

Now we can say that;

$\frac12\ hr =0.5\ hr$

So Time period = $5+0.5 =5.5\ hr$

Now we know that;

Distance traveled $(d)$ is equal to Speed $(r)$ multiplied by Time Period $(t)$ .

framing in equation form we get;

$d=rt\\\\330 =r\times 5.5$

Dividing both side by 5.5 we get;

$\frac{330}{5.5}=\frac{5.5r}{5.5}\\\\r = 60\ mi/hr$

Hence The car was travelling at a speed of 60 miles per hour.

6 0

3 years ago

A gray crayon is made with 5\text{ mL}5 mL5, space, m, L of black wax for every 6\text{ mL}6 mL6, space, m, L of white wax.

zloy xaker [14]

The correct answers are B and C.

Since the mixture requires 5 mL of black wax and 6 mL of white wax, we want multiples of these numbers; specifically, we need multiples that are the same number of times away.

A does not work; 10 is 5*2 and 24 is 6*4. These won't be in the same ratio.

B works; 15 is 5*3 and 18 is 6*3. These have the same ratio.

C works; 35 is 5*7 and 42 is 6*7. These have the same ratio.

D does not work; 26 is not a multiple of 6.

E does not work; 45 is 5*9 and 48 is 6*8. These will not have the same ratio.

8 0

2 years ago

Read 2 more answers

Is anyone willing to help me with this? I tried adding this and still no answer. Please help..

GaryK [48]

Answer: C. (-4, -2)

Step-by-step explanation:

First, eliminate one of the variables and solve for the remaining variable:

2x - 5y = 2 → 3(2x - 5y = 2) → 6x - 15y = 6

3x + 2y = -16 → -2(3x + 2y = -16) → -6x - 4y = 32

-19y = 38

y = -2

Next, replace "y" with -2 into either of the original equations to solve for x:

2x - 5y = 2

2x - 5(-2) = 2

2x + 10 = 2

2x = -8

x = -4

x = -4, y = -2

Check:

Plug in the x- and y-values into the other original equation:

3x + 2y = -16

3(-4) + 2(-2) = -16

-12 + -4 = -16

-16 = -16 $\checkmark$

3 0

3 years ago

3, 9, 10, 5, 8, 5, 9, 11, 10, 3, 10 Find the mean of the data.

slava [35]

Answer:

7.55

Step-by-step explanation:

An arithmetic mean is the average value of all the data points.

In order to find the average value, you add all the data points then divide the resulting sum by the number of data points there are.

The sum of all data points:

3 + 9 + 10 + 5 + 8 + 5 + 9 + 11 + 10 + 3 + 10 =

The number of data points:

3, 9, 10, 5, 8, 5, 9, 11, 10, 3, 10

1,2,3,4,5,6,7,8,9,10, 11 = 11 data points

Average value/ Mean:

83 / 11 = 7.545454545454 = rounded to 7.55

7 0

2 years ago

What is the solution set for the following system of equations 5x-3y-10=0 x+y-7=0

garik1379 [7]

(x, y) = ( $\frac{31}{8}$ , $\frac{25}{8}$ )

given the 2 equations

5x - 3y - 10 = 0 → (1)

x + y - 7 = 0 → (2)

rearrange (2) to obtain y in terms of x

y = 7 - x → (3)

Substitute y = 7 - x into (1)

5x - 3(7 - x) - 10 = 0

5x - 21 + 3x - 10 = 0

8x - 31 = 0 ( add 31 to both sides )

8x = 31 ( divide both sides by 8 )

x = $\frac{31}{8}$

Substitute this value into (3) for y

y = 7 - x = $\frac{56}{8}$ - $\frac{31}{8}$ = $\frac{25}{8}$

6 0

3 years ago