Every morning for the past 12 days Beth used 2/3 of a cup of milk on her cereal to determine how much milk she used in total she set up the equation 2/3x12

Answer:

Fatima's points = 46

Zahra's points = 30

Step-by-step explanation:

Let's give names to the unknowns (the number of points each one got)

Fatima's points = y

Zahra's points = x

Now create the equations given by the info they provide:

"Fatima got 16 marks more than Zahra"

y = x + 16

"The product of their mark is 1380."

x * y = 1380

Now use the first equation as substitution for "y" in the second equation:

x * (x + 16) = 1380

reduce the expression:

x^2 + 16 x = 1380

x^2 + 16 x - 1380= 0

Solve using quadratic formula:

[tex]x=\frac{-16+/- \sqrt{16^2+4(1380)} }{2} \\x=\frac{-16+/- \sqrt{5776} }{2} \\x=-8+/- 38\\x = 30\,\,\,or\,\,\,x=-46[/tex]

we pick 30 since the scores from a test must be larger than zero.

Now we use the first equation to solve for the other variable;

y = 30 + 16 = 46

then x = 30 and y = 46

Answer:

The slope of the parallel line is 2

Step-by-step explanation:

Parallel lines have equal slopes, so for this question you need to re-format the equation to match a y=mx+b format (slope-intercept form).

2x -y = 7  |  Subtract 2x from both sides

-y = 7 + 2x  |  Multiply by negative one to make y even

y = 7 + 2x  |  Rearrange the equation to match the formula

y = 2x +7  |  2 is your slope for both parallel lines!

Answer:

1.5 meters

Step-by-step explanation:

If she is already below sea level by 1 meter and she goes down .5 meters more, she would be 1.5 meters below the sea level.

Answer:

c

Step-by-step explanation:

The third function has a range of y that is greater than or equal to 0.

A function is a kind of rule that, for one input, gives you one output.

For the first function, it contains negative values for y, so it was eliminated.

The second function did not start from zero, so it was eliminated.

The third function obeys the given condition, but the last function contains negative values for y.

Hence, the third function satisfies the condition that y is greater than or equal to 0. 

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Answer:

1 1/2

Step-by-step explanation:

n= 3/2

Decimal Form:

n= 1.5

Mixed Number Form:

n = 1 1/2

Answer:

$7.50

Step-by-step explanation:

You can use proportions to find that 8/10 = 6/x

then you can multiply 10 by 6 and divide the result by 8 to get the answer.

You can also divide 10 by 8 to get 1.25 and multiply it by 6, as 10 divided by 8 gives you the unit rate, or the price of each battery. Then you multiply it by 6 to get 7.5, or the cost of 6 batteries.

Hope this helps!

Answer:

If I am correct the answer should be graph it !!!! first quadrant

corners

(0,0)

(0,3)

(1.5 , 3.5) intersection

(5,0)

evaluate 6x-4y at those corners

0

-12

-5

+9

makes sense, need big x and small y :)

Step-by-step explanation:

I apologize if I am incorrect I am only in 7th grade but I am pretty intelligent so please try it out!

Answer:

53+53=106

180-106=74

74 + 53= 127 (answer 1)

53+53=106 (answer 2)

74+53=127 9answer 3)

The measure of each exterior angle is 106, 127, and 127 degrees if the two angles of a triangle measure 53.

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have:

Two angles of a triangle measure 53:

The measure of the angles of a triangle:

53, 53, (180-53-53)

53, 53, 74 in degrees

As we know,

The sum of the two interior angles of a triangle is equal to the exterior angle:

Exterior angle(1st vertex) = 53 + 53 = 106 degrees

Exterior angle(2nd vertex) = 53 + 74 = 127 degrees

Exterior angle(3rd vertex) = 74 + 53 = 127 degrees

Thus, the measure of each exterior angle is 106, 127, and 127 degrees if the two angles of a triangle measure 53.

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Step-by-step explanation:

second one because

only x+2y=8 passes through the point (2,3)

the proof is 2+2*3=2+6=8

if we replace the given point to the other equations we will take wrong results for example

first equation

x+2y=4. 2+2*3=2+6=8 that is not equal to 4

Slopes of lines which are parallel to each other is same. The equation of the line which is parallel to y = mx + c and passes through (2,3) point is y = m(x-2) + 3

Parallel lines have same slope, since slope is like measure of steepness and since parallel lines are of same steepness, thus, are of same slope.

In the line of the form [tex]y = mx + c[/tex], the coefficient of x, which is 'm' here, is the slope of the line [tex]y = mx + c[/tex]

Suppose that the given line be:

[tex]y = mx + c[/tex]

(we assume this, because the question is a bit incomplete as the initial line isn't given)

And we've to find the equation of a line which is parallel to the line given above, and passes through (2,3).

Suppose it be:

[tex]y = mx + b[/tex] (as the slope of parallel lines would be same).

This line passes through (2,3), so the equation must be true for (x,y) = (2,3).

Putting it, we get:

[tex]y = mx + b\\3 = m(2) + b\\3 - 2m = b[/tex]

Thus, the equation of this line is:

[tex]y = mx + b \\y = mx + (3-2m)\\y = m(x-2) + 3[/tex]

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Answer:779

Step-by-step explanation:

Delta

Answer:

It depends, you have to use the Pythagorean Theorem

explanation:

Answer:

If you have both legs, then you can use the PYTHAGOREAN THEOREM to find the value of the hypotenuse. a^2 + b^2 = c^2 ( a= leg, b = leg, c = hypotenuse)

Step-by-step explanation:

If you do not have a leg value, but you do have an angle measure, then you can use Sine or Cosine to find the hypotenuse. Sin = opposite/hypotenuse and Cos = adjacent/hypotenuse.

Let me know if you need further explaination!

Answer:

13

Step-by-step explanation:

AB = 20

DE =12

Since AB and DE bisect each other, therefore:

AC = CB = ½(AB)

AC = CB = ½(20)

AC = CB = 10

Also,

DC = CE = ½(DE)

DC = CE = ½(12)

DC = CE = 6

Since F is the midpoint of DC, therefore:

FC = ½(DC)

FC = ½(6)

FC = 3

Find the value of FC + CB. Plug in the values of FC and CB:

3 + 10 = 13

D

The reason its D is because π is a irrational and its not a real number. Search it up. Hope i get brainliest!

hope this helped :)

Answer:

She buys 20 Stamps of $0.15 and 40 Stamps of $0.35.

Step-by-step explanation:

40 x 0.35 = 14

20 x 0.15 = 3

$14 + $3 = $17

40 ($0.35) + 20 (0.15) = 60 stamps

Answer: x ≥ 250

Step-by-step explanation:

Answer:

The answer is: g ( x) and f ( x) are not inverses of each other.

Step-by-step explanation:

This is why you need to check both ways: sometimes there are fussy technical considerations, usually involving square roots, that force the composition not to work, because the domains and ranges of the two functions aren't compatible.

Hope this helps : )

Let a be the amount of 40% solution and b be the amount of pure alcohol that you will use.

You want to end up with a volume of 660 mL, so

a + b = 660

For each mL of solution used, the 40% solution would contribute 0.4 mL of alcohol, and the pure alcohol will contribute 1 mL of alcohol. In the desired solution, you want a concentration of 80% alcohol, so that it contains 0.8 • 660 mL = 528 mL of alcohol, and

0.4a + b = 528

Solve the system of equations above. Subtracting the second from the first eliminates b and lets us solve for a :

(a + b) - (0.4a + b) = 660 - 528

0.6a = 132

a = 220

Then

220 + b = 660

b = 440

So you will need 220 mL of the 40% solution and 440 mL of pure alcohol.

1_3/4 • 4_1/6

(7/4) (25/6) = 175/24

Answer: 175/24

Answer:

0.75 U.S. dollars

Step-by-step explanation:

If you're talking U.S dollar. It's 0.75 cents.

This doesn't seem like college work.

Answer:

-32

Step-by-step explanation:

Simply input the x and y values.

New equation:

| 147-(-9) | /(-4) +7

Step one:

147-(-9)   = 156

Step two:

|156|/-4    =-39

Step three:

-39+7      =-32

If you evaluate the expression it comes out to -32

Answer: 1134

Step-by-step explanation:

Answer:

(-13,-1)

Step-by-step explanation:

Moving right means moving positively on the x-axis

Moving left means moving negatively on the x-axis

Follow the equation backwards using the x-coordinate:

Move left 10 units-- -5-10 = -15

Move right 2 units-- -15+2 = -13

Since the y-coordinate did not change, the point you started at is (-13,-1)

Answer:

5/6

Step-by-step explanation:

8/9=16/18

16/18-1/18=15/18

15/18 divided by 3 is 5/6

Answer:

5/6

Step-by-step explanation:

Answer: 3 ¾

------------------

Answer:

15/4=3 3/4

Step-by-step explanation:

3 and 3/4 is the awnser

Answer:

35

Step-by-step explanation:

Answer:

(2,2)

Step-by-step explanation:

If you graph the points out and count from up or down to left or right, I beleive this is the answer you'll get.

Answer:

3.6056 or square root of 13

Step-by-step explanation: