Write -3/4 as either a terminating or repeating decimal

Answer:

y = 10

Step-by-step explanation:

The question is a simple equation and ought to be 3y/5 = 6 ( in stead of 3/5y=6)

Multiply through by the lowest common multiple (LCM) of denominator (which equals 5)

5 × 3y/5 = 6 × 5

3y = 30

Divide through by 3

3y/3 = 30/ 3

y = 10

Therefore, y = 10

Check

3y/5 = 6

y = 10

3(10)/5 = 6

30/5 = 6

6 = 6

Answer:

Therefore,

[tex]6r-r++(15-r)+23-6 = -3r+137[/tex] i.e

[tex]6r-r+8(15-r)+23-6[/tex]    and

[tex]-3r+137[/tex] are Equivalent .

Step-by-step explanation:

To Check:

[tex]6r-r+8(15-r)+23-6[/tex] and

[tex]-3r+137[/tex] is Equivalent or Not

Solution:

Consider,

[tex]6r-r+8(15-r)+23-6[/tex]  

Step 1 . Apply Distributive Property , A(B+C)=AB+AC we get

[tex]6r-r+8\times 15-8\times r+23-6[/tex]  

[tex]6r-r+120-8r+23-6[/tex]  

Step 2 . Combining Like Terms i.e r terms and the numbers we get

[tex]6r-r-8r+120+23-6[/tex]  

[tex]-3r+137[/tex]  

Which is Equivalent to the given expression

[tex]-3r+137[/tex]

Therefore,

[tex]6r-r+8(15-r)+23-6= -3r+137[/tex]   i.e

[tex]6r-r+8(15-r)+23-6[/tex]      and

[tex]-3r+137[/tex]                  ..........are Equivalent .

Answer:

240 words

Step-by-step explanation:

96÷2=48

48×5=240

Jordan can type 240 words in 5 minutes, based on her typing speed of 48 words per minute.

Jordan can type 96 words in 2 minutes. To find out how many words she can type in 5 minutes, we need to calculate her typing speed per minute and then multiply it by 5 minutes. First, we find the typing speed per minute:

Speed = Total words / Total time = [tex]\frac{96}{2}[/tex] = 48 words per minute.

Now, we multiply this speed by 5 minutes to find out how many words Jordan can type in that time:

5 minutes x 48 words/minute = 240 words.

So, Jordan can type 240 words in 5 minutes.

Answer:

Step-by-step explanation:

It's unclear, but if is the question

12x-7=8

then

x=[tex]\frac{5}{4}[/tex]

Answer:

[tex]\huge{\boxed{x=\pm\dfrac{5}{4}}[/tex]

Step-by-step explanation:

[tex]12|x|-7=8\qquad\text{add 7 to both sides}\\\\12|x|-7+7=8+7\\\\12|x|=15\qquad\text{divide both sides by 12}\\\\\dfrac{12|x|}{12}=\dfrac{15}{12}\\\\|x|=\dfrac{15:3}{12:3}\\\\|x|=\dfrac{5}{4}\iff x=\pm\dfrac{5}{4}[/tex]

Answer:

[tex]x=11[/tex]

Step-by-step explanation:

Given the equation

[tex]\dfrac{3x+2}{5}=\dfrac{2x-1}{3}[/tex]

You can interpret this equation as proportion.

Cross multiply:

[tex]3(3x+2)=5(2x-1)\\ \\9x+6=10x-5\ [\text{Use distributive property}]\\ \\9x-10x=-5-6\\ \\-x=-11\\ \\x=11[/tex]

Final answer:

The rational equation (3x + 2)/5 = (2x - 1)/3 simplifies to 9x + 6 = 10x - 5, which further simplifies to x = 11 after rearranging and combining like terms.

Explanation:

To solve the rational equation (3x + 2)/5 = (2x - 1)/3, we first find a common denominator to eliminate the fractions. Multiplying each side of the equation by the common denominator of 15, we get 9x + 6 = 10x - 5. Subtracting 9x from both sides and adding 5 gives us x = 11. Therefore, the correct solution to the given equation is x = 11.

Answer:20$

Step-by-step explanation:

Answer:

You earn $20.

Step-by-step explanation:

35 divided by 7 is 5.

5 times 4 is 20.

Answer:

Top Left

Step-by-step explanation:

Shaded circle means it will be Greater than or equal to or Less then or equal to. The answwers are less that or equal to 75 so s is less than or equal to 75

Answer:

It is s less than and equal to 75

Step-by-step explanation:

I say that because on 75 ther is a full circled dot instead of open dot.

Answer:

a = 5√7 units

Step-by-step explanation:

Let's find the value of a, using the Pythagorean Theorem, this way:

c = Hypotenuse = 16

a² = c² - b²

a² = 16² - 9²

a² = 256 - 81

a² = 175

√a² = √175

a = √25 * 7

a = 5 √7 units

Step-by-step explanation:

7p²-30p+8

=(p-4)(7p-2)

To determine if a quadrilateral is a parallelogram, we need to compare the lengths of the sides and the measures of the angles.

A quadrilateral is a parallelogram if and only if both pairs of opposite sides are equal in length and both pairs of opposite angles are congruent. To find the values of x and y that make the quadrilateral a parallelogram, we need to compare the lengths of the sides and the measures of the angles.

For example, if we have a quadrilateral with sides x, y, z, and w, we can check if it is a parallelogram by comparing x and z and y and w. If x = z and y = w, then the quadrilateral is a parallelogram.

Similarly, we can check the angles by comparing the measures of opposite angles. If the measures of the opposite angles are equal, then the quadrilateral is a parallelogram.

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The values of x and y that make the quadrilateral a parallelogram are [tex]\(x = 114^\circ\)[/tex] and [tex]\(y = 66^\circ\)[/tex].

In a parallelogram, opposite angles are congruent. Therefore, if one angle measures [tex]\(66^\circ\)[/tex], its opposite angle must also measure [tex]\(66^\circ\).[/tex] Similarly, if another angle measures [tex]\(114^\circ\)[/tex], its opposite angle must also measure [tex]\(114^\circ\)[/tex].

Let's denote the measures of the angles as follows:

- Angle opposite to x is [tex]\(114^\circ\)[/tex]

- Angle opposite to y is [tex]\(66^\circ\)[/tex]

Since the opposite angles are congruent, we have:

[tex]\[ x = 114^\circ \]\[ y = 66^\circ \][/tex]

Therefore, the values of x and y that make the quadrilateral a parallelogram are [tex]\(x = 114^\circ\)[/tex] and [tex]\(y = 66^\circ\)[/tex].

Answer:

D.W

Step-by-step explanation:

The correct answer is B) [tex]$1606.42[/tex]. The balance after Anna writes check  is

 [tex]$1606.42[/tex].

To solve this problem, we need to follow the transactions in Anna's checking account to determine the balance after check #1620 is written. Let's assume that the initial balance before any transactions is $0.00.

 Let's check each option:

A) [tex]$1536.24[/tex][tex]- $1452.77 = $83.47[/tex] (This cannot be the correct balance after check #1620 because it does not match the balance after check #1612.

B)[tex]$1606.42 - $1452.77 = $153.65[/tex] (This is the amount spent on groceries, indicating that the balance after check #1612 is correct and no additional funds were withdrawn by check #1620.)

 C)[tex]$1734.81[/tex][tex]- $1452.77 = $282.04[/tex] (This would mean an additional $282.04 was withdrawn after the groceries purchase, which is not possible since we are looking for the balance after one check, #1620.)

 D) [tex]$1760.61[/tex][tex]- $1452.77 = $307.84[/tex] (This would also mean an additional amount was withdrawn, which is not possible for the same reason as option C.) Therefore, the only logical balance that matches our calculations after check #1620 is option B) $1606.42, which implies that check #1620 did not change the balance from what it was after check #1612. This means that check #1620 was for the same amount as the groceries purchase ($153.65), which brought the balance back to $1606.42 after the groceries were bought

Good evening

Answer:

x > 1

Step-by-step explanation:

 2/3x-1/6>1/2  if we multiply both sides by 6 we will get

4x - 1 > 3 ⇔ 4x > 4 ⇔ x > 1

look at the photo below for the graph.

:)

For the statements option, A and E is correct about the x-intercepts of quadratic functions.

A polynomial function that has one or more variables and a variable having a maximum exponent of two is said to be quadratic. It is also known as the polynomial of degree 2 since the second-degree term is the greatest degree term in a quadratic function. At least one term in a quadratic function must be of the second degree. It has algebraic properties.

Given statements about  the x-intercepts of quadratic functions,

the expression of a quadratic function is given by,

ax² + bx + c = 0

the values of x are the zeroes of the quadratic functions, which is also known as the x-intercept.

since the degree of the polynomial is 2 so there will be at least two values for the x-intercept.

the x-intercept is the point on the x coordinate where the value of y is zero.

and let x = a be an x-intercept so the factor of function is (x - a).

Hence options A and E are correct.

Learn more about quadratic function;

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A graph tracking Mr. Gomez's account balance over time would include a horizontal line indicating the $15 threshold for bank notices. Payments or withdrawals dropping the balance to this level would be highlighted, showing when notices are sent.

Suppose the bank sent Mr. Gomez a notice whenever the amount in his account dropped to $15 or less. To visualize how the graph in the example would change with this information, first, we should understand that the account's balance is being tracked over time. Typically, a graph representing an account balance over time would have time on the horizontal axis and the account balance on the vertical axis.

If a notice is sent whenever the account drops to $15 or less, this adds a conditional behavior to the graph.

Specifically, there would be a horizontal line at the $15 mark indicating this threshold. When Mr. Gomez makes payments or withdrawals that drop the account balance to this level or below, it could be highlighted or represented differently (using a different color or pattern) on the graph to indicate when the bank sent a notice. Therefore, the primary change to the graph is the visual representation of these notices being sent at or below the $15 mark.

Mr. Gomez will receive a notice from the bank whenever the amount in his checking account falls below $20.

The inequality is x < 20, which means that the amount in Mr. Gomez's account (represented by x) must be less than $20 for him to receive a notice from the bank.

The graph of the inequality is shaded to the left of 20 (shown by the open circle) because any number less than 20 satisfies the inequality.

Let x represent the amount in Mr. Gomez's checking account.

The bank sends a notice when the account drops below $20, so we can express this mathematically as x < 20.

Graph the inequality on a number line. Since 20 is not included in the solution, we use an open circle at 20.

Shade the region to the left of 20 because any number in that region is less than 20 and satisfies the inequality.

Question:-

Mr. Gomez gets a notice from the bank when the amount in his checking account drops below $20. For what amounts will Mr. Gomez receive a notice from the bank? Use words and symbols to represent the situation. Let x represent the amount in Mr. Gomez's account. When x is less than $20, the bank will send a notice. x<20 Graph the inequality to show all of the solutions.

Why is the graph in the example shaded to the left?

Answer:

3x-4y=-16

Step-by-step explanation:

Answer:

Step-by-step explanation:

m ∠XOY = m ∠WOV

so, m XY = m WV --- (i)

     { If angle subtended by two arcs at the center are equal, then length of arc are equal}

m YZ = m ZW  ------- (ii)    {given}

Add (i) and (ii)

XY + YZ = WV + ZW

XZ = ZV    

Hence proved.

Answer:

Given that m ∠XOY = m ∠WOV then m XY = m WV, because central angles are equal to arcs.

Given: m YZ = m ZW

The addition of arcs XY and YZ make arc XZ, that is: m XY + m YZ = m XZ

The addition of arcs ZW and WV make arc XZ, that is: m WV + m ZW = m ZV

Then, m XZ = m ZV

Answer:

Step-by-step explanation:

We have parallel lines.

Angles 1 and 2 are alternate angles.

With parallel lines, alternate angles are congruent.

Therefore

[tex]m\angle1=m\angle2[/tex]

[tex]m\angle1=2x+20,\ m\angle2=3x+10\\\\2x+20=3x+10\qquad\text{subtract 20 from both sides}\\\\2x+20-20=3x+10-20\\\\2x=3x-10\qquad\text{subtract}\ 3x\ \text{from both sides}\\\\2x-3x=3x-3x-10\\\\-x=-10\qquad\text{change the signs}\\\\x=10\\\\m\angle1=2(10)+20=20+20=40[/tex]

Answer:

13

Step-by-step explanation:

It's a famous "triple" for triangle lengths.

It's helpful to memorize: 5, 12, 13.

It works because of the reliable pythagorean theorem:

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]5^{2} + 12^{2} = 13^{2}[/tex]

Answer:

The missing side length is 13

Step-by-step explanation:

Use Pythagorean Theorem

5 squared + 12 squared = x squared

25 + 144 = x squared

169 = x squared

13 = x

Answer:

[tex]g(x) = 5^{x} -10[/tex]

Step-by-step explanation:

See the attached figure which represents the problem.

At first we should know the rules of translation

1) {f(x) + a} is f(x) shifted up (a) units

2) {f(x) – a} is f(x) shifted down (a) units

3) {f(x + a)} is f(x) shifted left (a) units.

4) {f(x – a)} is f(x) shifted right (a) units.

The given function : [tex]f(x) = 5^{x}[/tex]

As shown on the attached graph the function g(x) is below f(x)

Which mean f(x) is shifted down.

by comparing two points with the same x-coordinate like (1,5) and (1,-5)

So, the difference will be = 5 - (-5) = 10

by applying the second rule and substitute with a = 10

g(x) = f(x) - 10

[tex]g(x) = 5^{x} -10[/tex]

Answer:

D option

Step-by-step explanation:

Answer:

40.625 miles covered in 2.5 hours

Step-by-step explanation:

Given that [tex]16 \frac{1}{4} [/tex]

miles was ran in one hour, then to find miles run in 2.5 hours, we just have to multiply:

[tex]16 \frac{1}{4} [/tex]

by [tex]2 \frac{1}{2} [/tex]

This means that miles run in 2½ hours

[tex] = 16 \frac{1}{4} \times 2 \frac{1}{2} [/tex]

[tex] = \frac{65}{4} \times \frac{5}{2} [/tex]

[tex] = \frac{325}{8} [/tex]

[tex] = 40 \frac{5}{8} = 40.625[/tex]

Therefore 40.625 miles will be run in 2.5 hours.

L = length

W = width

L = 2(2W + 8)

W = 2W

Perimeter: 96 = 4W + 16 + 2W

96 = 6W + 16

80 = 6W

13.33 = W

Plug this into the equation:

2(13.33) + 8

26.67 + 8 or 34.67 = L

If There is a math equation you can use math-way.

Also it would help if you can take a better picture.

Once you take a better picture I promise i will try my best to answer the question.

Answer:

2 books cause if the total is around 49 dollars 21 is rounded to be half

Step-by-step explanation:

Answer:

17.56

Step-by-step explanation:

The amount of tax withheld from Ed Employee's weekly earnings is approximately $36.02.  Option D is the right choice.

To calculate the amount of tax withheld, we need to determine the applicable tax rate based on the employee's weekly earnings and the number of exemptions claimed.

Given:

- Weekly earnings: $544.00

- Number of exemptions claimed: 2

First, let's find the applicable tax rate from the provided table based on the weekly earnings. The table provides tax rates for various income ranges.

Since the weekly earnings fall between $540 and $560, we can interpolate to find the tax rate corresponding to this range.

From the table:

- For earnings between $540 and $560, the tax rate is between $19.81 and $17.56.

Using linear interpolation:

[tex]\[ \text{Tax rate} = \$19.81 - \left( \frac{560 - 544}{560 - 540} \times (\$19.81 - \$17.56) \right) \]\[ = \$19.81 - \left( \frac{16}{20} \times ( \$19.81 - \$17.56 ) \right) \]\[ = \$19.81 - \left( \frac{4}{5} \times \$2.25 \right) \]\[ = \$19.81 - \$1.80 \]\[ = \$18.01 \][/tex]

Now, to find the tax withheld:

[tex]\[ \text{Tax withheld} = \text{Tax rate} \times \text{Number of exemptions} \]\[ = \$18.01 \times 2 \]\[ = \$36.02 \][/tex]

Therefore, the amount of tax withheld from Ed Employee's weekly earnings is approximately $36.02.  Option D is the right choice.

Question:-

Ed Employee has weekly earnings of $544.00 and he claims 2 exemptions. How much tax is withheld?

A. $19.81

B. $17.56

C. $18.73

D. $36.02

Answer:

The solution of given equation for x is  (0.16 + i 1.14) , (0.16 - i 1.14)  

Step-by-step explanation:

Given as :

The quadratic equation is as 3 x² - x + 4 = 0

Since The given equation is quadratic

∵, Standard quadratic equation is ax² + bx + c = 0

Now, x = [tex]\frac{-b\pm \sqrt{b^{2} - 4\times a\times c}}{2\times a}[/tex]

Comparing the equation

i.e x = [tex]\frac{-(-1)\pm \sqrt{(-1)^{2} - 4\times 3\times 4}}{2\times 3}[/tex]

or, x = [tex]\dfrac{1\pm \sqrt{(1-48)}}{6}[/tex]

Or, x = [tex]\dfrac{1\pm \sqrt{(-47)}}{6}[/tex]

Or, x = [tex]\dfrac{1\pm i6.85}{6}[/tex]

Or, x = (0.16 + i 1.14)   , (0.16 - i 1.14)

So, The solution of given equation for x = (0.16 + i 1.14)   , (0.16 - i 1.14)

Hence, The solution of given equation for x is  (0.16 + i 1.14) , (0.16 - i 1.14)  . Answer

The population 12 hours after the start of rush hour, which lasts 3 hours and the population doubles every 3 hours, would be 64,000,000 people. The population 12 hours after the start of the evening rush hour, which lasts 3 hours and the population is cut in half every 3 hours, would be 500,000 people.

To calculate the population 12 hours after the start of rush hour, which lasts 3 hours, we need to find the number of doubling periods that occur within that time frame. Since the population doubles every 3 hours, there are 12/3 = 4 doubling periods.

Each doubling period results in the population doubling, so if the population starts at 4,000,000 people, after 4 doubling periods it would be 4,000,000 × 2⁴ = 64,000,000 people.

To calculate the population 12 hours after the start of the evening rush hour, which lasts 3 hours and the population is cut in half every 3 hours, we need to find the number of halving periods that occur within that time frame. Since the population is cut in half every 3 hours, there are 12/3 = 4 halving periods.

Each halving period results in the population being cut in half, so if the population starts at 8,000,000 people, after 4 halving periods it would be 8,000,000 × (1/2)⁴ = 500,000 people.

Answer:

The selected options:  1 , 2 and 5

Step-by-step explanation:

Dilation 2/5  was done on a rectangle, and the center of dilation is V

We will check which of the options is true:

Option 1: The image is a reduction because 0 < n < 1  (True)

Because 2/5 = 0.4 < 1, so, the image will be smaller than the pre-image.

Option 2: The side lengths of the image are two-fifths the size of the corresponding side lengths of the pre-image.   (True)

Because pre-image and image are similar so their sides will be proportional, so the pre-image is 2/5 of the image.

Option 3: The angles of the image are two-fifths the size of the angles of the pre-image.  (Wrong)

Because the angles of similar rectangles are congruent not proportional.

Option 4: The center of dilation is at point Q.   (Wrong)

Because the center of dilation is V.

Option 5: The base of the image is two-fifths the size of the base of the pre-image.    (True) same explanation of option 2

Answer:

ITS A,B, AND E

Step-by-step explanation:

SUN GOT IT RIGHT ON EDGE

Answer:

3/-3 basically -1

Step-by-step explanation:

do the y2-y1 / x2-1 formula and put the coordinates in and that is:

3-0 / -13- -10

or

3/-3

or -1

BTW: if the numerator and denominator are both negative,

Answer:

Step-by-step explanation:

(-10,0) and (-13,3)

Slope m = (y2 - y1)/(x2 - x1)

y2 = 3, y1 = 0, x2 = -13, x1 = -10

: m = (3 - 0)/(-13 + 10)

m = 3/-3

m = -1

Slope m = -1