johnny had 5/6 cups of rice. He wants to separate the rice into 1/3 servings. how many sevings can Johnny make?

5(2x +8) = -8x + 4

Use distributive property:

10x +40 = -8x + 4

Subtract 40 from each side:

10x = -8x -36

Add 8x to each side:

18x = -36

Divide both sides by 18:

x = -36 / 18

x = -2

The number is -2

b= 81 degrees

Explanation:

A straight line is 180 degrees.

180 - 99 = 81

All the angles combined should be equal to 360, forming a circle.

In order to find angle b, we have to know what supplementary angles.

Supplementary angles are two angles that add up to 180°, or in other words, a straight line.

Angle b and the 99 degree angle are supplementary due to them creating a straight line when combined, so they add up to 180°.

To find angle b, subtract 99 degrees from 180.

180 - 99 = 81

Angle b is equal to 81 degrees.

3[3c^(-9)-1]

hope this helps

Answer:

b

Step-by-step explanation:

Answer:

24 inches.

Step-by-step explanation:

Two sides of an obtuse triangle measure 10 inches and 15 inches.

The length of the longest side is unknown.

We have to find the smallest possible whole number for length of the unknown side.

Since a triangle is possible only when sum of two sides of the triangle is greater than the third side.

Therefore, length of third side < sum of other two sides

length of third side < 10 + 15

length of third side < 25

Therefore smallest whole number length should be 24 inches.

A homogeneous mixture has the same uniform appearance and composition throughout. Many homogeneous mixtures are commonly referred to as solutions. A heterogeneous mixture consists of visibly different substances or phases. The three phases or states of matter are gas, liquid, and solid.

Final answer:

A mixture is heterogeneous if it has a non-uniform composition, wherein the individual components can often be seen or separated. A mixture is homogeneous if it is uniform throughout, where the components are evenly distributed and cannot be visually distinguished. Examining the uniformity of the mixture's composition allows for differentiation between the two types.

Explanation:

To tell if a mixture is homogeneous or heterogeneous, one must first understand the definitions of these terms. A heterogeneous mixture has a composition that is not uniform throughout. Examples include trail mix, salad, and blood. These mixtures often allow the individual substances within them to be seen or separated by simple means, such as filtration or inspection.

In contrast, a homogeneous mixture is uniform in composition throughout the sample. Examples include air, simple syrup, and seawater. For instance, when salt is dissolved in water to create a saline solution, it is a homogeneous mixture because the salt is evenly distributed throughout the water and no longer visible as a separate substance.

Distinguishing between these two types of mixtures involves examining the uniformity of the mixture's composition. If different samples of the mixture have different compositions, or if the individual parts can be seen, it is heterogeneous. If it is uniform and the components cannot be visually separated, then it is homogeneous.

[tex]f(x)=3^x+10x,\ g(x)=5x-3\\\\(f-g)(x)=f(x)-g(x)=(3^x+10x)-(5x-3)\\\\=3^x+10x-5x+3=3^x+5x+3[/tex]

[tex]Answer:\ \boxed{B.\ 3^x+5x+3}[/tex]

3/7*42=21

There are 21mammals

A. 6 because it is in the middle of the data.

Answer:

A. 6 for apex

Step-by-step explanation:

I believe opposite on both!

The measure of ∠ A is 50°

A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees.

Given that a triangle ABC, and angle B and C are 100° and 30° respectively,

According to angles sum property of a triangle, we have,

∠ A + ∠ B + ∠ C = 180°

∠ A = 180° - (100° + 30°)

∠ A = 180° - 130°

∠ A = 50°

Hence, the value of angle A is 50°

For more references on triangle, click;

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Final answer:

The length of the base of the square pyramid is calculated by rearranging the volume formula v = 1/3bh to solve for b, finding the base area, and then taking the square root to find the side length. With the given volume of 24 cm³ and height of 2 cm, the side length of the base is 6 cm. Therefore, the correct answer is C.

Explanation:

The student is asking how to find the length of the base of a square pyramid given its volume and height. The volume of a pyramid is given by the formula v = 1/3bh, where v is the volume, b is the area of the base, and h is the height. Since the pyramid is square, the area of the base (b) is equal to one side of the square base squared. With a volume (v) of 24 cm³ and a height (h) of 2 cm, we can substitute the values into the formula and solve for the base area b.

To find the side length of the base, we take the square root of the base area. Using the provided formula and values, we get:

v = 24 cm³

h = 2 cm

b = (3×v)/h = (3×24 cm³)/2 cm = 36 cm²

The side length of the base (l) is the square root of the base area: l = √b = √36 cm² = 6 cm. Therefore, the correct answer is C. 6 cm.

When comparing these two sets of number, the first set is harder to find the different as you need to borrow from a column. For instance, when you start subtracting in the 10s place, you cannot take 40 away from 30.

Whereas in the second set, comparing the numbers is easy. They have the same 100s value and the same 10s value. You are simply comparing the 1s place.

Answer:

First, if we compare 645 and 738, the difference is significant, because those number have different units, different tenths and different hundreds.

However, if we compara 645 and 649, the difference isn't significant, because they have the same hundreds, the same tenths, but different units.

So, in terms of comparing numbers as such, we can tell that the difference in each comparison is about units, tenth and hundreds difference.

From this different comparison, the difference operation (subtraction) is also different, because it's not the same to subtract 645 from 738 than from 649, the difference is higher.

answer: 24 miles,

15miles/5days = 3 miles/day

8 days * 3 miles/day = 24 miles

OR

5 days = 15 miles

8 days = x miles

x = (15*8)/5 = 24 miles

Slope-intercept form: y = mx + b

Given: slope of 2 and passes through the point (–4, 3)

y - 3 = 2(x + 4)

y - 3 = 2x + 8

y = 2x + 11

Answer

Slope-intercept form: y = 2x + 11

Answer:

y = 2x + 11

Step-by-step explanation:

The perimeter of a triangle is the sum of its sides​

Perimeter = 12 2/3 inches + 10 1/3 inches + 5 1/3 inches = 28 1/3 inches​

Answer : 28 1/3 inches​

Hope this helps!​​​​​

​[tex]\textit{\textbf{Spymore}}[/tex]​​​​​​​

Answer:

11x - 12

Step-by-step explanation:

Distributive property, also called the distributive law of multiplication and division, lets us distribute a number by multiplying it to each of the numbers in a term separately.

We can expand this expression by clearing the parentheses and combining the like terms here by applying the distributive property:

6 (x-2) + 5x

6x - 12 + 5x ---> (6 is multiplied to both the terms, x and -2, separately)

Now we will combine like terms to get:

6x + 5x - 12

11x - 12

We can find the midpoint by using the two given coordinates and finding the average between them.

We will find the average between the x coordinates and the y coordinates.

We are given these two coordinates of line segment QR: (-3, 14) and (7, 5). Find the midpoint by finding the average (or mean) between the x coordinates (-3 and 7), and the y coordinates (14 and 5).

Find the average by adding up the two coordinates then dividing the answer you get by 2 (because you added two numbers).

x coordinates average: -3 + 7 = 4, 4/2 = 2; their average is 2

y coordinates average: 14 + 5 = 19, 19/2 = 9.5; their average is 9.5 (or 19/2)

Take the two averages and put them together so your answer is: the coordinate of the midpoint of line segment QR is (2, 19/2).

11 hours because I did the math

Answer:

f(x)=45x

Step-by-step explanation:

if the home is 495 miles away, 11 hours would take to drive home.

f(11)=45X11=495

13/25,

any time you see a prime number in the numerator, its in its simplest form.

For this case we have the following fractions:

22/33 42/81 13/25 18/27

Fraction 1: You can divide the numerator and denominator by 11

[tex]\frac{22}{33}= \frac{2}{3}\\[/tex]

Fraction 2: The numerator and denominator can be divided by 3

[tex]\frac{42}{81}= \frac{14}{27}\\[/tex]

Fraction 3: The numerator and denominator can not be divided by the same number.

[tex]\frac{13}{25}\\[/tex]

Fraction 4: The numerator and denominator can be divided by 9

[tex]\frac{18}{27}= \frac{2}{3}\\[/tex]

Answer:  

A fraction that is written in its simplest form is

Fraction 3: [tex]\frac{13}{25}\\[/tex]

Answer:

YA BUENO COMENZAEMOS:v

Step-by-step explanation:

I: IGNACIO

M: MIGUEL

E: EDUARDO

I=2E

M-E=14 --- M= 14+E

I+M+E=62

A CONTINUACION HACEMOS SISTEMA DE ECUACION:

M-E=14

M+E=62-I

APLICAMOS SISTEMA DE ECUACIONES (SUMA VERTICALMENTE) Y QUEDA ASI:

2M= 76-I

REEMPLAZAMOS:

2(14+E) = 76-2E

28+2E=76-2E

4E=48

E=12

ENTONCES QUEDA:

E=12

I=24

M=26

To find the balance at the beginning of the month, add the initial deposit and subtract the total transactions from the end of the month balance.

To find the balance at the beginning of the month, we need to subtract the total transactions from the end of the month balance. First, we need to find the total transactions by adding up all the transactions in Mr. Copley's checkbook. Then, we subtract the total transactions from the end of the month balance, $1473.61, and add the initial deposit of $75 that is not shown in his checkbook. This will give us the balance at the beginning of the month.

The balance at the beginning of the month is the result of the previous steps.

If you simplify it more and combine the like terms which are -5r and 8r it will be 3r; and then the left over 5 can be added. 3r+5

Answer:  x < [tex]\frac{140}{27}[/tex]

Step-by-step explanation:

[tex]\frac{6}{5}x - 12 < 2 - \frac{3}{2}x[/tex]

[tex]10(\frac{6}{5}x - 12) < 10(2 - \frac{3}{2}x)[/tex]

2(6)x - 10(12) < 10(2) - 5(3)x

 12x  -   120  <   20  -  15x

+15x                        +15x      

 27x   - 120  <   20

         +120    +120

27x              <  140

            [tex]\frac{27x}{27} < \frac{140}{27}[/tex]

              x < [tex]\frac{140}{27}[/tex]

Answer:

-200 feet/20 minutes = -10 feet/minute

The correct answer is C.