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frosja888 [35]
3 years ago
12

A recipe calls for 2.5 cups of sugar . you have already put in 0.75 cups. how many more cups of sugar does the recipe call for

Mathematics
1 answer:
Tomtit [17]3 years ago
8 0
2.5 cups minus .75 cups equals 1.75 cups.
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Factor yz + 6 + y +6z.<br> z + 1)(y + 6)<br> (z - 1)(y + 6)<br> (z + 6)(y - 1)
Sedbober [7]
The answer is the first one: (z+1)(y+6).

Explanation:

yz + 6 + y + 6z

= yz + y + 6 + 6z

= y(z+1) + 6(1+z)

= (z+1)(y+6)

For (z+1), you can also write (1+z), it doesn’t matter.

Hope it helps!

8 0
3 years ago
A rectangle's width is twice as long as its length. If the perimeter is 36 in., what is the length?
Bumek [7]
Okay here: 

Let L be the length and W the width of the rectangle. 

1. w=2•L
2. 2L+2W=36

Substitute eq. 1 into eq. 2, 

2L+2•(2•L)=36

2L+4L=36

6L=36

L=9

Not done yet, then from eq. 1, 
 
W=2•L
W=2•9
W=18 <------- Your answer. :)
6 0
3 years ago
Prove that lines 3x-4y=12 and 3y=12-4x are perpendicular.
Svetllana [295]

Answer:

see explanation

Step-by-step explanation:

If 2 lines are perpendicular then the product of their slopes equals - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Consider the given equations

3x - 4y = 12 ( subtract 3x from both sides )

- 4y = - 3x + 12 ( divide terms by - 4 )

y = \frac{3}{4} x - 3 ← in slope- intercept form

with slope m = \frac{3}{4}

3y = 12 - 4x = - 4x + 12 ( divide terms by 3 )

y = - \frac{4}{3} x + 4 ← in slope- intercept form

with slope m = - \frac{4}{3}

Then

\frac{3}{4} × - \frac{4}{3} = - 1

Since the product of their slopes = - 1 then the lines are perpendicular

3 0
3 years ago
Frances can complete 91oil changes in 7 days. How many oil changes can Frances complete in 11days? oil changes
Natali [406]

Answer:

143

Step-by-step explanation:

lets make a fraction:

so

91 oil changes/7days

lets take "x" as the unknown # of oil changes:

so

x/11

91/7=x/11

we can cross multiply:

91*11=7*x

1001=7x

143=x

so 143 oil changes in 11 days

Hope this helps!

4 0
3 years ago
Read 2 more answers
2. A formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
diamong [38]
D. 92

34+34=68
12+12=24
68+24=92
3 0
3 years ago
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