Solve this equation 2(x + 2)/3 = 6

Answer:

1/3

Step-by-step explanation:

David cooks 6 cups of rice and his family eats 4 cups. To find the fraction, we must first do 6-4 to get 2. We place 2 in the numerator and 6 in the denominator. We have 2/6. We can simplify 2/6 by dividing both the numerator and the denominator by 2 to get 1/3.

Good morning,

Answer:

Step-by-step explanation:

5+(-4) = 5 - 4 = 1

-4 + (-7) = -(4+7) = -11

since  1 > -11 then 5+(-4) > -4 + (-7)

:)

Answer:

y= -5x+2

Step-by-step explanation:

y = mx+b

Answer:

∠ U = 117°

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent.

∠ T = ∠ Q = 27°

The sum of the 3 angles in a triangle = 180°, thus

∠ U = 180° - (∠ s + ∠ T) = 180° - (36 + 27)° = 180° - 63° = 117°

Answer:

The answer is, t = 28.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1

8

t+

−5

2

=1

Step 2: Add 5/2 to both sides.

1

8

t+

−5

2

+

5

2

=1+

5

2

1

8

t=

7

2

Step 3: Multiply both sides by 8.

8*(

1

8

t)=8*(

7

2

)

t=28

Answer:

Your answer is C Straight angle

Step-by-step explanation:

Answer:

0.975 pasta pounds per minutes

Step-by-step explanation:

8 (X amount of pasta) = 7.8 Pounds

x= 7.8/8

x = 0.975

Answer:

The sum of three times j and three times j and the number seven, all multiplied by three.

Step-by-step explanation:

Answer:

984 Chips per box

Step-by-step explanation:

41 x 72 = 2952 ÷ 3 (boxes) = 984

Answer:

I got 984 chips per box. (I could be wrong)*

Step-by-step explanation:

My very un-detailed explanation: So you know that there are 41 machines in this potato chip factory and each machine can produce 72 chips every minute. And if this is enough to fill 3 shipping boxes, then the steps to solve this problem is as follows....

1. 41x72=2954 I did this to find the total number of chips that all of the 41 machines make every minute.

2. 2954/3=984 I did this because we know that "2954" chips is the total amount of chips in 3 boxes so to find the amount of chips in each box, we would divide the total number of chips by 3.

Answer:

No

Step-by-step explanation:

You only distribute the 3 to the x but not to 1 1/2. In order for the two equations to be the same, you have to distribute 3 to both the x and 1 1/2. Then the answer will look like this : 3x + 4 1/2 or 3x + 9/2

The original expression 3(x + 1 1/2) is not equivalent to 3x + 1 1/2; rather,it simplifies to 3x + 4.5 after distribution and simplification.

Step 1: Distribute the Number Outside the Parentheses:

To determine equivalence, distribute the 3 to both terms inside the parentheses: 3(x) + 3(1 1/2).

Step 2: Simplify Inside the Parentheses:

Multiply 3 by x: 3x.

Multiply 3 by 1 1/2: 3 × 1 + 3 × 1/2

= 3 + 1.5

= 4.5.

Step 3: Combine the Terms:

The distributed expression simplifies to 3x + 4.5.

Step 4: Evaluate the Expression in Question:

The expression provided is 3(x + 1 1/2).

The equivalent expression, as derived, is 3x + 4.5.

Step 5: Compare the Expressions:

The expression 3(x + 1 1/2) simplifies to 3x + 4.5, not 3x + 1 1/2.

Therefore, the original expression 3(x + 1 1/2) is not equivalent to 3x + 1 1/2; rather,it simplifies to 3x + 4.5 after distribution and simplification.

Answer:

see attached picture shown

Answer:

12/3 = 4

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

2*3=6-4=2 5>2 yeaaaaaa

Answer:

6. ○ [tex]\displaystyle 33,1°; 123,1°[/tex]

5. [tex]\displaystyle See\:above\:image[/tex]

4. [tex]\displaystyle See\:above\:image[/tex]

Explanation:

6. Supplementary Angles sum up to 180°, whereas complementary angles sum up 90°. So, use subtraction for both types of angles:

[tex]\displaystyle 123,1° = -56,9° + 180° \\ 33,1° = -56,9° + 90°[/tex]

* Make sure that they are in the exact same order that exercise gives you.

5. Acute Angles measure greater than 0° and less than 90°.

4. Every segment must have C in it, and you must be EXTREMELY CAREFUL of their markings [ray, segment, and line].

I am joyous to assist you anytime.

Answer:

Debra needs to buy 32 bottles of a quarter of fertilizer, that will cost her $ 473.28 to fertilize her garden of 1,008 square feet or 112 square yards of area.

Correct statement and question:

Debra’s rectangular vegetable garden measures 9 1/3 yards by 12 yards. A bottle of fertilizer cost $14.79. If Debra needs to mix 1/8 cup of fertilizer with water for each square foot of her garden, how many cups of fertilizer did she need? How can you persevere in solving this problem? And what's the answer?

Source:

Previous question that can be found at brainly

Step-by-step explanation:

1. Let's review the information given to us to answer the question properly:

Length of the garden = 12 yards

Width of the garden = 9 1/3 = 9.33 yards

Cost of a bottle of fertilizer = $ 14.79

Ratio of fertilizer : water for the garden = 1/8 cup for each square foot

2. How many cups of fertilizer did she need?

For answering the question, we need to know the area of the garden and convert it to square feet, this way:

Area = Length of the garden * width of the garden

Area = 12 * 9.33 = 111.96 square yards, that we will round to 112

Let's recall that 1 square yard = 9 square feet

Area = 112 * 9 = 1,008 square feet

Now, we can calculate the cups of fertilizer needed:

Cups of fertilizer = 1,008/8 = 126

Finally, for calculating how many bottles of fertilizer does Debra need to buy, let's assume that each bottle has a quart because that information wasn't given to us.

Let's recall that 1 cup = 1/4 quart

126 cups = 32 quarts ⇒ 32 bottles

Cost of 32 bottles of fertilizer = 32 * 14.79

Cost of fertilizer = $ 473.28

The subject of this question is Mathematics.

The subject of this question is Mathematics because it involves measuring the dimensions of a rectangular vegetable garden.

Answer: m = -1

Step-by-step explanation: In this problem we're asked to find the slope of the line that contains the points (-2,5) and (6,-3).

Using our slope formula, we take the second y minus the first y which in this case is -3 - 5 over our second x minus our first x which in this case is 6 - -2.

-3 - 5 simplifies to -8 and remember that minus a negative can be thought of as plus a positive so 6 - (-2) can be thought of as 6 + (+2) which is 8.

Now we have -8/8. Notice that our slope can be simplified one step further so we have m = -1.

The variable that's used to represent slope is m.

Answer:

6(26-4)= 132

Step-by-step explanation:

There isn't any variable in the equation

Answer:

31.25%

Step-by-step explanation:

Percent of can = 5/16 × 100%

= 31.25%

The 31.25% of the can it will take to make 5 servings of tuna salad if it takes a whole can of tuna to make 16 servings of tuna salad.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

If it takes a whole can of tuna to make 16 servings of tuna salad,

Percent of can = 5/16×100

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.

Percent of can = 31.25 %

Thus, the 31.25% of the can it will take to make 5 servings of tuna salad if it takes a whole can of tuna to make 16 servings of tuna salad.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ2

Answer:

-x^2

Step-by-step explanation:

Answer:

-x^2

Step-by-step explanation:

Answer:

x=-7, y=2. (-7, 2).

Step-by-step explanation:

x-y=-9

x+y=-5

-----------

2x=-14

x=-14/2

x=-7

-7-y=-9

y=-7-(-9)

y=-7+9

y=2

The midpoint is [tex](\frac{1}{2}, \frac{13}{2})[/tex]

The distance between points S and T is 7.1 units

Solution:

Given points are S(−2, 4) and T(3, 9)

Find the coordinates of the midpoint of ST

The midpoint is given as:

[tex]m(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)[/tex]

Here in this sum,

[tex](x_1, y_1) = (-2, 4)\\\\(x_2, y_2) = (3, 9)[/tex]

Substituting the values, we get

[tex]m(x, y)=\left(\frac{-2+3}{2}, \frac{4+9}{2}\right)\\\\m(x, y)=\left(\frac{1}{2}, \frac{13}{2})[/tex]

Thus the midpoint is [tex](\frac{1}{2}, \frac{13}{2})[/tex]

Find the distance between points

The distance is given by formula:

[tex]d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}[/tex]

Here in this sum,

[tex](x_1, y_1) = (-2, 4)\\\\(x_2, y_2) = (3, 9)[/tex]

Substituting the values, we get

[tex]\begin{aligned}&d=\sqrt{(3-(-2))^{2}+(9-4)^{2}}\\\\&d=\sqrt{5^{2}+5^{2}}\\\\&d=\sqrt{25+25}\\\\&d=\sqrt{50}=7.071 \approx 7.1\end{aligned}[/tex]

Thus the distance between points S and T is 7.1 units

The coordinates of the midpoint [tex]\( M \) are \( (0.5, 6.5) \),[/tex] and the distance between points S and T approximately 7.0 units.

To find the coordinates of the midpoint M of the line segment ST, we use the midpoint formula:

[tex]\[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \][/tex]

 Given the coordinates of [tex]\( S \) and \( T \) are \( S(-2, 4) \) and \( T(3, 9) \)[/tex] respectively, we substitute these values into the formula:

[tex]\[ M = \left( \frac{-2 + 3}{2}, \frac{4 + 9}{2} \right) \][/tex]

[tex]\[ M = \left( \frac{1}{2}, \frac{13}{2} \right) \][/tex]

[tex]\[ M = (0.5, 6.5) \][/tex]

Now, to find the distance between points S and T,  we use the distance formula:

[tex]\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \][/tex]

Substituting the coordinates of S and T into the formula:

[tex]\[ d = \sqrt{(3 - (-2))^2 + (9 - 4)^2} \][/tex]

[tex]\[ d \approx 5 \times 1.4 \][/tex]

[tex]\[ d \approx 7 \][/tex]

The coordinates of the midpoint  [tex]\( M \) are \( (0.5, 6.5) \),[/tex] and the distance between points S and T  is approximately 7.0 units.

Answer:

75.7(repeating)

Step-by-step explanation:

Answer:

3.1 x 10^9

Step-by-step explanation:

(2.8 x 10^9) + (3 x 10^8)​ = (28 x 10^8) + (3 x 10^8)​

                                       = (28+3) x 10^8

                                       = 31 x 10^8

                                       = 3.1 X 10^9

The cost of each hamburger is $ 3.5

Solution:

Given that, Daniel purchased one hotdog for $2.50 and three hamburgers

He spent $ 13 in total

Let "H" be the cost of each hamburger

From given,

one hotdog for $2.50 + three hamburgers each for "H" = $ 13

Thus we get,

[tex]1 \times 2.50 + 3 \times H = 13\\\\2.50 + 3H = 13\\\\\text{Solve the above equation for H}\\\\3H = 13 - 2.50\\\\3H = 10.5\\\\\text{Divide both sides of equation by 3}\\\\H = 3.5[/tex]

Thus cost of each hamburger is $ 3.5

Daniel buys one hotdog for $2.50 and three hamburgers, spending a total of $13. We find the cost of each hamburger by the equation $2.50 + 3H = $13, solve for H, and determine that each hamburger costs $3.50.

The problem involves finding the cost of each hamburger that Daniel buys, given that he purchases one hotdog for $2.50 and three hamburgers for a total of $13. To solve this equation, we let H represent the amount each hamburger costs. The total cost of the hotdog and hamburgers together is $13. Therefore, the equation we can write is 1 hotdog + 3 hamburgers = total cost, or $2.50 + 3H = $13. To find H, we subtract the cost of the hotdog from the total cost, which gives us 3H = $13 - $2.50, resulting in 3H = $10.50. Finally, we divide both sides by 3 to find the cost of one hamburger: H = $10.50 / 3, which is H = $3.50. Therefore, each hamburger costs $3.50.

Answer:

[tex]PN=64\ units[/tex]

Step-by-step explanation:

The complete question is

Given the quadrilateral is a rectangle, if LO = 15x+19 and QN = 10x+2 find PN

see the attached figure to better understand the problem

we know that

The diagonals of a rectangle are congruent and bisect each other

so

[tex]QN=\frac{1}{2}LO[/tex]

substitute the given values

[tex]10x+2=\frac{1}{2}(15x+19)[/tex]

solve for x

[tex]20x+4=15x+19\\20x-15x=19-4\\5x=15\\x=3[/tex]

Find the length of PN

Remember that

[tex]PN=LO[/tex] ----> diagonals of rectangle are congruent

[tex]LO=15x+19[/tex]

substitute the value of x

[tex]LO=15(3)+19=64\ units[/tex]

therefore

[tex]PN=64\ units[/tex]

Answer:

x ≤ -7

Step-by-step explanation:

Symbolically, we have 11 - 3x ≥ 32

and we can solve this for x as follows:

Add 3x to both sides.  We get:

11 - 3x + 3x ≥ 32 + 3x

Then 11 ≥ 32 + 3x

Reversing the order, we get  3x + 32 ≤ 11

Subtracting 32 from both sides, we get:

3x ≤ -21

Finally, dividing both sides by 3 yields:

x ≤ -7