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3 years ago

7

The Hamilton family spends $400 per month on groceries for their family. If this is 25% of their monthly budget, then what is th

eir monthly budget?

1 answer:

ludmilkaskok [199]3 years ago

7 0

The monthly budget would be 1,600

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Can someone please take a look at the attachment and tell me what the answer is? Serious answers only please!

siniylev [52]

The solid line indicates that the line itself is included in the solutions. That the shaded area is to the left, or under, the line means that y≤the line.

To find the equation of the line you first find the slope or m using any two points.

m=(y2-y1)/(x2-x1) in this case you are given (2,-5) and (-2, 3) so

m=(3--5)/(-2-2)

m=8/-4

m=-2

So far for y≤mx+b we have:

y=-2x+b using either point we can solve for b, I'll use (2,-5)

-5=-2(2)+b

-5=-4+b

-1=b

So the line is:

y=-2x-1 and since y≤ the line:

y≤-2x-1

5 0

3 years ago

Given f(x)=4x-6 and g(x)=8x+4 findthe value of x for which f(x)=g(x)

lana [24]

The value of "x" is $\frac{-5}{2}$

<em><u>Solution:</u></em>

Given f(x) = 4x - 6

g(x) = 8x + 4

<em><u>To find: value of x when f(x) = g(x)</u></em>

We can equate f(x) and g(x) as per given statement and solve for x

f(x) = g(x)

<em><u>Substituting the values of f(x) and g(x) in above expression,</u></em>

4x - 6 = 8x + 4

4x - 8x = 4 + 6

-4x = 10

On solving,

$x = \frac{10}{-4}\\\\x = \frac{-5}{2}$

Thus value of "x" is $\frac{-5}{2}$

4 0

3 years ago

Sneaky link (uh)

tino4ka555 [31]

GIRL I CAN BE UR SNEAKY LINK *intense dancing*

3 0

3 years ago

Working alone at its own constant rate, a machine seals k cartons in 8 hours, and working alone at its own constant rate, a seco

Harlamova29_29 [7]

Answer:

$66\dfrac{2}{3}\%$

Step-by-step explanation:

Given,

The number of cartons = k,

Time taken by machine a = 8 hours,

So, the number of cartons made by machine a in one hour

= $\frac{\text{Cartons in 8 hours}}{8}$

= $\frac{k}{8}$

Time taken by machine b = 4 hours ,

So, the number of cartons made by machine b in one hour

= $\frac{k}{4}$

Total cartons made in 1 hour = $\frac{k}{8}+\frac{k}{4}$

$=\frac{k+2k}{8}$

$=\frac{3k}{8}$

∵ for the whole number value of k,

$\frac{k}{4}>\frac{k}{8}$

i.e. machine b is faster,

Also, the percent of the cartons were sealed by the machine b

$=\frac{\text{Cartons made in 1 hour by machine b}}{\text{Total cartons}}\times 100$

$=\frac{\frac{k}{4}}{\frac{3k}{8}}\times 100$

$=\frac{2}{3}\times 100$

$=\frac{200}{3}$

$=66\dfrac{2}{3}\%$

Hence, OPTION D is correct.

5 0

3 years ago

Simplify. Question is in the picture.

kirill [66]

Since 8 × 8 = 64, the square root of 64 is 8

8 - √144

Since 12 × 12 = 144, the square root of 144 is 12

8 - 12

Now simplify

<u>-4</u>

3 0

3 years ago