A box of cereal contains 4 3/4 cups of cereal. Each serving is 1/4 cup. How many servings of cereal are in the box?

Answer:

1) -3x + 5 = -10

-3x = -15

x= -15/-3

X = 5

3) 4-6x = -8

-6x = -8-4

-6x = -12

X = 2

2) 2(x-5)= -5

2x - 10 = -5

2x = 5

x = 2.5

4) -0.5(2x+6) = -6

-x -3 = -6

-x = -6+3

-X = -3 ( both negative will get cancel)

X = 3

Answer:

(0,

3) (1, -1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Elimitation:

4) add both.

x=8. y=-24

5) multiply 2.

6x+10y=108.

subtract.

6y=36.

y=6.

x=8.

check:

4(8)-24=8. Correct.

-3(8)-24=0. correct.

3(8)+5(6)=54. Correct.

6(8)+4(6)=72 correct.

Hey there!

Given the following system:

4x + y = 8

-3x - y = 0

We do not need to change the equations at all, because the "y"s will already cancel eachother out. When we add the equations together, we get

x = 8

Now, we have to solve for y: We can do so by plugging in the value of x in to one of the equations:

4(8) + y = 8

Now we solve:

4(8) + y = 8

  32 + y = 8

           y = -24

The solution to the first given system is (8, -24)

Now, we can check by plugging the numbers into both equations, and seeing if they are true:

4(8) + (-24) = 8

 32 + (-24) = 8

                8 = 8 ~ TRUE

Now, we check the second equation:

-3(8) - (-24) = 0

 -24 - (-24) = 0

    -24 + 24 = 0

0 = 0 ~ TRUE

Both equations are true, which means that the correct solution to the first given system is (8, -24)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

For the second given system, we are going to have to change one of the equations because, when added, the "x" or "y" values will not cancel out.

3x + 5y = 54

6x + 4y = 72

We can divide the second equation by -2 so the "x" values will cancel out:

-3x - 2y = -36

Now, we add the equations:

3y = 18

And solve for "y":

3y = 18

 y = 6

Now, we plug the "y" value into one of the equations and solve for "x":

3x + 5(6) = 54

 3x + 30 = 54

          3x = 24

             x = 8

The solution to the second given system is (8, 6)

Now, we can check by plugging the "x" and "y" values into both equations:

3(8) + 5(6) = 54

    24 + 36 = 54

             54 = 54 ~ TRUE

Now, we check the second equation:

6(8) + 4(6) = 72

    48 + 24 = 72

             72 = 72 ~ TRUE

Both equations are true, which means that the correct solution to the second given system is (8, 6)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hope this helps! Have a great day, and let me know if you need more help or have questions!

The shape which has parallel lines and at least one acute angle is; Choice C.

From definition, an acute angle is one whose angle measure is less than 90⁰.

Additionally, parallel lines are lines which can never intersect one another.

Therefore, from the definitions above, it follows that the required shape is; Choice C.

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Answer:

[tex] 4\sqrt{3} [/tex]

Step-by-step explanation:

[tex] \sqrt{6} \times \sqrt{8} [/tex]

Multiply

[tex] \sqrt{48} [/tex]

Simplify

[tex] \sqrt{16 * 3} [/tex]

[tex] \sqrt{16} \times \sqrt{3} [/tex]

[tex] 4 \times \sqrt{3} [/tex]

[tex] 4\sqrt{3} [/tex]

Answer:

D

Step-by-step explanation:

D is the best answer becuase the graph would keep going up and then 5 and 35 would make a point

Answer:

D

Step-by-step explanation:

5 pizzas = $35

35 ÷ 5 = 7

1 pizza = $7

Answer:

hm pic?

Step-by-step explanation:

Answer: X intercepts= ( 25 /2 ,  0 )

              Y intercepts = (0, -5)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0  for  x  and solve for  y .

So to find Y you'll do 2(0)-5y=25

2x0=0........this will make the equation 0-5y=25....0-5y is -5y and 25/-5 is -5. You now know that Y=-5 and X is automattically 0 in these types of problems hence why we plugged in 0 for X to solve for Y.

To find X you'll do the same thing but you'll plug 0 in for Y

so the equation will become 2x-5(0)=25 and 5x0=0 so it will become 2x-0=25 then you'll have to divide to get rid of X. If it does not go in evenly then you leave it as a fraction. This is why you get (25/2, 0)

Answer:

regular polygon of 9 sides has 9 lines of symmetry

Answer:

Step-by-step explanation:

Here you go mate

Step 1

4.85+c >-2.55  Equation/Question

Step 2

4.85 + c > - 2.55  Simplify

4.85 + c > - 2.55

Step 3

4.85 + c > - 2.55  add -4.85 to both sides

answer

c>-7.4

Hope this helps

Answer:

1000

Step-by-step explanation:

the answer is 1000, and i dont remember how i got it becaus i did mental math and when i get the answer i forgot how i even got it.

Answer:

B. V=SA

Step-by-step explanation:

The volume is 113.1 and the surface area is also 113.1 so Volume is equal to the Surface Area

Answer:

B

Step-by-step explanation:

Answer:

r=8

Step-by-step explanation:

56=7r

first I simplified the equation to the form, which is simple to understand

56=7r

Then I move all terms containing r to the left and all other terms to the right.

-7r=-56

Next I simplified the left and right the side of the equation.

-7r=-56

Then i divided both sides of the equation by -07 to get r.

r=8

Answer:

A. 19.5

Step-by-step explanation:

Diagonals of a rhombus intersect at right angles. Therefore the angle opposite to AD = 90°.

Thus:

90° + x + 3x + 12 = 180° (sum of ∆)

Add like terms

102 + 4x = 180

Subtract 102 from each side

4x = 180 - 102

4x = 78

Subdue both sides by 4

x = 19.5

Answer:

Step-by-step explanation:

It’s A

Answer:

Step-by-step explanation:

3) AB // CD                Definition of parallelogram

4) ∠ABD ≅ ∠CDB      Alternate interior angles theorem

5) DB ≅ DB                 Reflexive property

6) ΔABD ≅ ΔCDB       A S A congruent

Answer:

50

Step-by-step explanation:

bc 150/6 is 25 and since u said 2 numbers it'll be 50

Answer:

the answer is -4

Step-by-step explanation:

mark me brainliest

Answer:

-4

Step-by-step explanation:

Canceling out

You calculate the expressions inside the parentheses from left to right and from inner to outer.

Hope this helps!

Brain-List?

Answer:

7 is the cosffiecent in this qn

Answer:

The coefficients of 7h+3 are 7 and 3.

Step-by-step explanation:

Coefficients are numbers with out variables.

Answer:

[tex]\angle 1 = 101[/tex]

[tex]\angle 2 = 101[/tex]

[tex]\angle 3 = 101[/tex]

[tex]\angle 4 = 101[/tex]

Step-by-step explanation:

Given

The attachment

Require

Solve for [tex]\angle 1, \angle 2, \angle 3, \angle 4[/tex]

We start by solving for [tex]\angle 1[/tex]

[tex]\angle 1 + 79 = 180[/tex] ---- Angle on a straight line

[tex]\angle 1 + 79-79 = 180 - 79[/tex] --- Subtract 79 from both sides

[tex]\angle 1 = 101[/tex]

[tex]\angle 1 = \angle 2 = \angle 3[/tex] --- Corresponding angles;

So, we have:

[tex]\angle 2 = 101[/tex]

[tex]\angle 3 = 101[/tex]

[tex]\angle 1 = \angle 4[/tex] --- vertically opposite angles

So, we have:

[tex]\angle 4 = 101[/tex]

Answer:

a. The point of the vertex is (h, k)

b. The equation of the line of symmetry is x=h

c. You can tell if the parabola goes up and down by checking if a is positive or negative: if it is positive then it goes up, and it goes down otherwise.

Answer: No because it’s the 1st number

No

the earthquake was felt as far as approximately 86 miles away from its epicenter.

How to find what is an earthquake?

The epicenter of the earthquake is located at (-1,8), and the farthest reported location where people felt the earthquake is located at (85,8).

We can calculate the distance between these two points using the distance formula:

d = √((x2 - x1)²2 + (y2 - y1)²2)

where (x1,y1) = (-1,8) is the epicenter and (x2,y2) = (85,8) is the farthest reported location.

Substituting the values into the formula, we get:

d = √((85 - (-1))²2 + (8 - 8)²2)

Simplifying, we get:

d = √((86)²2 + (0)²2)

d = √(7396)

d ≈ 86 miles

Therefore, the earthquake was felt as far as approximately 86 miles away from its epicenter.

An earthquake is a sudden and rapid shaking of the Earth's surface, caused by the movement of tectonic plates beneath the Earth's crust. Earthquakes can vary in size and intensity, from minor tremors to major seismic events that can cause significant damage and loss of life.

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Answer:

418cm³

Step-by-step explanation:

volume of cuboid=l×b×h=11×2×19=418c³

Answer:

418 square centimeters.

Step-by-step explanation:

Since the formula for volume is length times width times height, you would have to multiply 11 (length) times 2 (width) first, and you would get 22. Next, you have to multiply 22 with the height (19). After you do this you will get your final answer which is 418 square centimeters.

Answer:

f

Step-by-step explanation:

Answer:

See explanations below

Step-by-step explanation:

Given the polynomial function

P(x) = X^2+3x-10

To check whether x-2 and x+5 are factor, we will find x and then show that P(x) = 0

For x-2

x - 2 = 0

x =2

P(2) = 2²+3(2)-10

P(2) = 4+6 -10

P(2) = 10-10

P(2) = 0

Since the remainder is zero, hence x-2 is a factor of the polynomial

Similarly for x+5;

x+5 = 0

x = -5

P(-5) = (-5)²+3(-5)-10

P(-5) = 25-15-10

P(-5) = 10-10

P(-5) = 0

This also shows that x+5 is a factor

Answer: what ?

Step-by-step explanation:

Answer:

woowoowoowoowowoowoowoowoowow

Step-by-step explanation:

Answer:

v=3

Step-by-step explanation:

SP and RQ are congruent, meaning that they are the same.

So, SP=RQ

We know that SP=5v and RQ=v+12

so plug those values into the equation

5v=v+12

then solve for v

4v=12

v=3