simplify. remove grouping sbols and combine like terms

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The number are 1, 2, -1, -2. Thus, the number of possible choices Tamar have is 4.

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.

Tamar wants to select an integer that is closer to zero on the number line than -3 is. Since the distance between 0 and -3 is 3 units, therefore, we need to find the integers that are either 1unit or 2 units away from zero. Hence, the number are 1, 2, -1, -2. Thus, the number of possible choices Tamar have is 4.

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it would be 10 yards

It’s ten yards, 1 foot = 0.333 yard

you are simply doing 99.5x33% + 99.5

and to save you some time, the answer would be 132.34

Final answer:

To estimate the monthly expenses, we calculate each monthly cost including the bi-weekly mortgage paid twice a month, phone charges, electric bill, and groceries multiplied by the average number of weeks per month for a total of $1,728.64.

Explanation:

To estimate the monthly expenses based on the provided costs, we need to calculate the monthly totals of each category. Here's the breakdown:

Bi-weekly mortgage: Since a month roughly consists of 4 weeks, a bi-weekly amount would be paid twice. Therefore, $576 × 2 = $1,152 for the mortgage per month.

Monthly phone charges: This cost is already on a monthly basis, so it's $44.95 for the phone.

Electric bill: The electric bill from last month was $105.88 and we'll use this as an estimate for the current month as well.

Groceries: Groceries cost about $98/week. As there are roughly 4.345 weeks in a month (52 weeks in a year divided by 12 months), we'll multiply the weekly cost by this factor: $98 × 4.345 ≈ $425.81 for groceries.

Adding these expenses, the total estimated monthly expenses would be $1,152 (mortgage) + $44.95 (phone) + $105.88 (electric) + $425.81 (groceries) = $1,728.64.

Answer:

Answer is 0

Step-by-step explanation:

[tex]\frac{9.1}{3576}=0.0025447427[/tex]

Whole numbers are the set of numbers represented by {0,1,2,3.......}, So basically counting numbers with a 0. Whole numbers does not contain fractions or negative numbers.

Rounding off is a way of simplifying a number so that it is close to the value of the original number. 0.0025447427 lies in between the whole number 0 and 1. But is is a very small value and is close to 0 than 1. So the closet whole number is 0.

Answer:

10/3

Step-by-step explanation:

put 5 over 1 and multiply across and you get 10/3

Question 1:

For this case we have:

The value of the x coordinate of the vertex is with the equation given by:

[tex]x = -\frac{b}{2a} \\[/tex]

Where b = -12 and a = -1

therefore,

[tex]x =- \frac{-12}{2(-1)} \\\\x = -6\\[/tex]

To find the coordinate and substitute in the equation:

[tex]y = - (- 6) ^ 2-12 (-6) -32\\\\y = 4\\[/tex]

Answer:

The coordinates of the vertex are (-6.4)

Question 2:

For this case we have the following equation:

[tex]y = -x ^ 2 - 12x - 32\\[/tex]

By definition, to find the intercept point with the y axis, we make x = 0 and substitute as shown below:

[tex]y = - (0) ^ 2-12 (0) -32\\\\y = -32\\[/tex]

Thus, the intercept point with the y axis is given by (0, -32)

Answer:

 the y-intercept is (0, -32)

Question 3:

For this case we have the following equation:

[tex]y = -x ^ 2 - 12x - 32\\[/tex]

The zeros of the function are given by the cut points with the x axis, so, equaling the equation to zero and clearing x we ​​have:

[tex]0 = -x ^ 2 - 12x - 32\\[/tex]

Rewriting the equation we have:

[tex]0 = x ^ 2 + 12x +32\\[/tex]

Factoring has the following:

[tex](x + 4) (x + 8) = 0\\[/tex]

Thus, the solutions are given by:

[tex]x = -4 \\\\x = -8\\[/tex]

Therefore, the zeros of the equation are (-4.0) and (-8.0)

Answer:

(-4.0) and (-8.0)

Answer:

Peter hit 12 home runs, Alice hit 6.

Step-by-step explanation:

If peter hit twice the amount of Alice then you multiply how many she got by 2 and you get 12.

Expand (3x)^2

When you see ^2, it means that the term(s) inside the parenthesis should be copied once, and multiplied.

(3x)^2 = (3x)(3x)

(3x)(3x) is your expanded form

~Rise Above the Ordinary

a) 0/8 = 0

b) -1/1 = -1

c) 4.5 / -1 = -4.5

(2^8x5^-5x19^0)^-2 x (5^-2/2^3)^4 x 2^28

(256x0.00032x1)^-2 x (0.04/8)^4 x 2^28

0.08192^-2 x 0.005^4 x 268,435,456

149.0116119384766 x 0.000000000625 x 268,435,456

0.000000093132257 x 268,435,456

= 25

The square root of 25 is 5.

Your just trying to find what number you can multiply with its self to make that number. So 5x5 = 25

Another example is lets say 64, the square root of 64 is 8 because 8x8 = 64.

Hope this makes sense!!

Hope this Helps!!

What is the square root of 25?

5 * 5 = 25

√25 = 5

your answer is 5

The original price of the used car, before the 25% reduction, was approximately $8,000. This was calculated by considering that $6,000 represents 75% of the original price.

The question is related to percentage and price, which falls under the realm of Mathematics. To find the original price of the car, you must consider that the price after the 25% discount was $6,000. This 25% reduction means that $6,000 represents 75% of the original price because 100% - 25% equals 75%. To find the original price (which is 100%), you can set up a simple equation and solve for the original price using cross multiplication. The equation will look like this:

75/100 = 6000/x

When you cross multiply and solve for x, the result is $8,000. So, the original price of the car was approximately $8,000.

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A dilation is a transformation that shrinks or stretches a figure by multiplying or dividing each point by a scale factor.

A transformation that shrinks or stretches a figure is called a dilation. A dilation is a transformation that changes the size of the figure without changing its shape. It can either shrink the figure, making it smaller, or stretch it, making it larger.

During a dilation, each point of the figure is multiplied or divided by a scale factor. If the scale factor is greater than 1, the figure is stretched. If the scale factor is between 0 and 1, the figure is shrunk.

For example, if we have a triangle and apply a dilation with a scale factor of 2, each side of the triangle will be multiplied by 2, resulting in a larger triangle.

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"10 boards that are 7.8ft long" can be interpreted as 10 * 7.8

When multiplying a number by 10, just move the decimal one point over.

7.8 * 10 = 78

Ari has 78 feet worth of boards.

Answer:

y=13+3x

Step-by-step explanation:

The equation y - 3x = 13 can be solved for y as y = 13 + 3x after adding 3x both sides.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The linear equation is:

y - 3x = 13

It is required to solve for x

The expression can be defined as the combination of constants and variables with mathematical operators.

Make the subject as y:

Add 3x on both sides:

y - 3x + 3x = 13 + 3x

y = 13 + 3x

Thus, the equation y - 3x = 13 can be solved for y as y = 13 + 3x after adding 3x both sides.

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Answer:

Scott did not trade 75 cards! Hope this helps!

Step-by-step explanation:

Answer:

he didnt trade 75 cards ooooooooooooooooooooooooooo

Step-by-step explanation:

Hey there!

Apply  fraction cross multiply: if a/b = c/d , then  a *d = b*c

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

expand : 2 (5x-2 )  => 2*5x - 2*2 => 10x - 4

expand : ( 2x +4 ) * 4 =>  2x * 4 + 4*4 => 8x + 16

10x - 4 = 8x+16

add 4 to both sides:

10x-4+4 = 8x+16+4

simplify :

10x  = 8x + 20

subtract 8x from both sides:

10x -8x = 8x+20-8x

simplify:

2x = 20

Therefore:

x = 20 / 2

x = 10

Hope that helps!

Step 1. Simplify 2/3x to 2x/3

2x/3 + 4 = 4/5x - 2

Step 2. Simplify 4/5x to 4x/5

2x/3 + 4 = 4x/5 - 2

Step 3. Multiply both sides by 15 (the LCM of 3,5)

10x + 60 = 12x - 30

Step 4. Subtract 10x from both sides

60 = 12x - 30 - 10x

Step 5. Simplify 12x - 30 - 10x to 2x - 30

60 =2x - 30

Step 6. Add 30 to both sides

60 + 30 =2x

Step 7. Simplify 60 + 30 to 90

90 = 2x

Step 8. Divide both sides by 2

90/2 = x

Step 9.  Simplify 90/2 to 45

45 = x

Step 10. Switch sides

x = 45

Simplifying

7x + -4y = 23

Solving

7x + -4y = 23

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4y' to each side of the equation.

7x + -4y + 4y = 23 + 4y

Combine like terms: -4y + 4y = 0

7x + 0 = 23 + 4y

7x = 23 + 4y

Divide each side by '7'.

x = 3.285714286 + 0.5714285714y

Simplifying

x = 3.285714286 + 0.5714285714y

An order pair is a solution to the given equation 7x+4y=-23 if substituting the values of the order pair into the equation makes the equation correct. Using this method it can be determined for instance that (1,-6) is not a solution whereas (-1,-5) is a solution to the equation.

To determine whether an order pair is a solution to the given equation 7x+4y=-23, you'll need to substitute the values of x and y from the order pair into the equation and see if both sides of the equation balance out.

For instance, if your order pair is (1, -6), you would substitute x=1 and y=-6 into the equation. The equation would then become: 7(1) + 4(-6) = -23. Simplifying this, you get 7 - 24 = -23, which is incorrect.

If you were to take the order pair (-1,-5), the equation 7(-1) + 4(-5) = -23 simplifies to -7 - 20 = -23 , which is indeed correct. Therefore, the order pair (-1,-5) is a solution to the given equation.

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Lin has a 2/40 chance of winning,

or in percentage, a 2.5% chance.

Final answer:

The total area when the two given areas are added together, after converting them into the same unit (square meters), is 17,078,004 m².

Explanation:

The student is asking to perform an addition of two figures that represent areas in different units (square kilometers, hectares, and square meters). To solve this, we need to convert all the areas to the same unit, for instance, square meters (m²), and then add them together. Here's the conversion and addition step-by-step:

Convert 5 square kilometers (sq.km) to square meters: 5 sq.km = 5 × (1,000²) = 5,000,000 m².

Convert 95 hectares (ha) to square meters: 95 ha = 95 × 10,000 = 950,000 m².

Add the square meters: 5,000,000 m² + 950,000 m² + 8,994 m² = 5,958,994 m².

For the second area, convert 11 sq.km to m²: 11 sq.km = 11 × (1,000²) = 11,000,000 m².

Convert 11 ha to m²: 11 ha = 11 × 10,000 = 110,000 m².

Add the square meters: 11,000,000 m² + 110,000 m² + 9,010 m² = 11,119,010 m².

Finally, add the two total areas in m²: 5,958,994 m² + 11,119,010 m² = 17,078,004 m².

Answer:

i think 9 and 11 i might be wrong sry\

Step-by-step explanation:

74.059 is the answer.

Hope this helps...

The difference usually means to subtract so I am going to subtract 76.82 - 2.761 to get an answer of 74.059.

The answer is C) 5 hours

Answer: The quadrilateral HIJK is a parallelogram.

Explanation:

It is given that the coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).

The parallelogram diagonal theorem states that  the quadrilateral is a parallelogram if both diagonal bisects each other.

If HIJK is a quadrilateral, then HJ and IK are the diagonals of HIJK.

First we find the midpoint of HJ.

[tex]\text{Midpoint of HJ}=(\frac{0+4}{2}, \frac{5-1}{2})[/tex]

[tex]\text{Midpoint of HJ}=(2,2)[/tex]

Now, find the midpoint of IK.

[tex]\text{Midpoint of IK}=(\frac{3+1}{2}, \frac{3+1}{2})[/tex]

[tex]\text{Midpoint of IK}=(2,2)[/tex]

The midpoint of both diagonal are same. It means the diagonals of HIJK bisects each other.

By parallelogram diagonal theorem, we can say that the quadrilateral HIJK is a parallelogram.

Answer: IH = IJ = 3 and JK = HK = StartRoot 29 EndRoot, and IH ≠ JK and IJ ≠ HK.

Step-by-step explanation:

Hey there!!

Equation given :

S = 2hl + 2hw + 2lw

... S = 2 ( hl + hw + lw )

S / 2 = hl + hw + lw

S / 2 = h ( l  + w ) + lw

S / 2 - lw = h ( l + w )

S - 2lw / 2 = h ( l + w )

( S - 2lw / 2 ) / ( l + w ) = h

( S - 2lw / 2l + 2w ) = h

[tex]\frac{S-2lw}{2l+2w} = h[/tex]

Hope my answer helps!!

To solve the formula S=2hl+2hw+2lw for h, rearrange the formula using basic algebra. The final formula for h is h = (S - 2lw) / (2l + 2w).

The formula for the surface area S of a rectangular prism is S=2hl+2hw+2lw, where l is the length,w is the width, and h is the height. To solve this formula for height h, the formula needs to be rearranged with basic algebra.

Start by subtracting 2lw from both sides of the equation, which leaves us with  S - 2lw = 2hl + 2hw. Then, factor out the h from the right side of the equation, you get S - 2lw = h(2l + 2w).

Finally, to solve for h, divide both sides of the equation by (2l + 2w). The final formula to solve for height h would be h = (S - 2lw) / (2l + 2w).

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Answer:

The translation is 3 units left and 2 units down

Step-by-step explanation:

we know that

Point A is located at (1,5) and point A’ is located at (-2,3)

so

The rule of the translation is

(x,y) -----> (x+a,y+b)

(1,5) ----> (-2,3)

Find the values  of a and b

1+a=-2 ----> a=-2-1 ----> a=-3

5+b=3 ----> b=3-5 ----> b=-2

so

The rule of the translation is

(x,y) -----> (x-3,y-2)

That means -----> The translation is 3 units left and 2 units down

Answer:

x’ = x - 3

y’ = y - 2

Step-by-step explanation: