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sergey [27]
3 years ago
10

1/5x3/4x5/7 write your answer in simplest form

Mathematics
1 answer:
anastassius [24]3 years ago
6 0

Answer:

3/28

Step-by-step explanation:

Set them up like this:

\frac{1}{5}*\frac{3}{4}*\frac{5}{7}

and the 5's cancel each other out, leaving you with

\frac{1}{1}*\frac{3}{4}*\frac{1}{7}

Multiply straight across the top and straight across the bottom to get

\frac{1}{1} *\frac{3}{4} *\frac{1}{7} =\frac{3}{28}

When you reduce as much as possible before multiplying, the answer will automatically be in its reduced form.

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The table shows the cost of hiring a concrete mixer for up to 5 days.
givi [52]

Answer:

i. daily charge = £13

ii. fixed charge = £6

Step-by-step explanation:

Number of days (x) | Cost in £ (y)

1 | 19

2 | 32

3 | 45

4 | 58

5 | 71

Using the given table, we can represent this situation with an equation in slope-intercept form, y = mx + b, where,

m = slope = daily charge

b = y-intercept = fixed charge

✔️Thus, using the coordinates of any two given pairs, say (1, 19) and (2, 32):

Slope (m) = ∆y/∆x = (32 - 19)/(2 - 1) = 13/1

Slope (m) = 13

Therefore daily charge = £13

✔️To find y-intercept (b), substitute (x, y) = (1, 19) and m = 13 into y = mx + b.

Thus:

19 = (13)(1) + b

19 = 13 + b

b = 19 - 13

b = 6

Therefore, fixed charge = £6

✔️Substitute m = 13 and b = 6 into y = mx + b to represent the function given for the situation:

y = 13x + 6

6 0
3 years ago
Mason Painting Services has a weekly payroll of $28,000. December 31 falls on Wednesday and Mason will pay its employees the fol
Inga [223]

28000 / 5 days = $5,600 per day

Wednesday, Thursday, Friday = 3 days.

5,600 x 3 days = $16,800

The amount should be $16,800

7 0
3 years ago
A billboard on level ground is supported by a brace as shown in the accompanying diagram the measure of angle is 15° greater tha
Ivahew [28]

Answer:

has a right angle to hold the billboard upright. Since a triangle is 180, and there' s a right angle, then when you add angle A and angle B together, they should add up to 90.

Step-by-step explanation:

A  = 2B + 15

A + B = 2B+15 + B = 90

3B + 15 = 90

3B = 75, so B = 25 degrees

90 - B = A, so A = 65 degrees

6 0
3 years ago
Which equation can be used to find the measure of angle GFE?
Afina-wow [57]

Answer:

\theta=\cos^{-1}(\frac{11.9}{14.5})

Step-by-step explanation:

From the diagram, .

The side of the triangle with length 11.9 is adjacent to the given angle.

We also know the hypotenuse to be 14.5 units.

We therefore use the cosine ratio to get;

\cos(\theta)=\frac{Adjacent}{Hypotenuse}

\cos(\theta)=\frac{11.9}{14.5}

We take the inverse cosine of both sides to get;

\theta=\cos^{-1}(\frac{11.9}{14.5})

5 0
3 years ago
Read 2 more answers
ABCD is a parallelogram. solve for x <br> a) 21 <br> b)20<br> c)10<br> d)5
Ierofanga [76]

Answer:

D)5

Step-by-step explanation:

We know that opposite sides of a parallelogram are both congruent and parallel. So, we use the equation 3x+5=6x-10

Simplifying this we get x=5

6 0
3 years ago
Read 2 more answers
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