the location at which two lines, line segments, or rays intersect

The expression is given as,

Simplifying the given expression ,

Thus the solution set is

The statement that applies to the sample math is:

B. the work shown to remove all fractions is not correct

The given steps are:

y = ¹/₄x + 2

- I first isolate the constant.

- After doing so, I get the equation: -¹/₄x + y = 2

- To remove the fraction, I multiply by –4, giving the equation x - 4y=2, which is the final answer.

The correct steps are as follows:

y = ¹/₄x + 2

First isolate the constant to get: y - ¹/₄x = 2

To remove the fraction, Multiply the obtained equation by –4

So, Equation : x - 4y = -8

On comparing both the work we can see that in the given work the removal of fraction is done incorrectly

They didn't multiply -4 on the right hand side .

Thus, option B applies.

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Answer:

Part A $12.16  Part B, $7.84

Step-by-step explanation: First we will mutliply $4.98 x 2 which equals  $7.18 spent on chips! We will add $4.98 dollars to this to get $12.16 spent on snacks in general! Then subtract $12.16 from $20.00 to get $7.84 to get the amount he will receive in change!! Please Give brainliest Thanks :D

Answer: Part A : . Miguel spend $12.16 on snacks    Part B: Miguel received a change of $7.84.

Step-by-step explanation:

2 bags of chips cost $3.59 each which means that 2 times 3.59 will give the total amount that Miguel spent on chips. Plus the cost of cookies which is $4.98 will give the total cost.

Cost of chips:  2(3.59) = 7.18    This means Miguel spend $7.18 on chips.

Cost of cookies :  $4.98

7.18 + 4.98 = 12.16

Part A : . Miguel spend $12.16 on snacks

Part B:  Miguel is paying $12.16 so if he gives $20 to the cashier then  20 minus  12.16 will give the change.

20 - 12.16 = 7.84  

   Miguel received a change of $7.84

Answer:

The answer is ∆XWY. The reason being both sides are congruent.

Answer:

what we have to find or to prove.

The sequence of transformations is therefore a dilation with respect to the origin by a scale factor of 1/2, followed by a translation of 2 units to the right, followed by a dilation with respect to the origin by a scale factor of 2, followed by a translation of 2 units to the left.

For two angles to be similar, they must have the same shape but may differ in size. To transform angle ABC to A'B'C' in a sequence of transformation that preserves its shape and orientation, we can use a dilation and a translation, as follows:

1. Dilate angle ABC with respect to the origin by a scale factor of 1/2. This reduces the size of the angle while maintaining its shape and orientation.

2. Translate the angle 2 units to the right. This moves the origin of the angle to a new location while maintaining its orientation and shape.

3. Dilate angle A'B'C' with respect to the origin by a scale factor of 2. This increases the size of the angle while maintaining its shape and orientation.

4. Translate the angle 2 units to the left. This moves the origin of the angle to a new location while maintaining its orientation and shape.

It is important to note that all of these transformations preserve the shape and orientation of the angle, while changing its size and position.

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Answer:   \(\;\;\frac{1}{6} , \;\; 0.16667,\;\; \text{or about}\;\;17\%\)

Step-by-step explanation:

   A regular dice has 6 sides, and only one of those sides side has a six.

        We write probability as;

   \(\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} = \frac{\text{number of times six is on the dice}}{\text{number of numberss on the dice}} =\frac{1}{6}\)

Hi, there!

 _______

\(\boxed{\boxed{\sf{Probability=\dfrac{Favorable \ Outcomes}{Total \ Outcomes}}}}\)

Here,

» Favourable Outcome(s) -> getting a 6 on a die (1 outcome),  because only one side of a die has a six on it

» Total Outcomes -> 6 (you can only get 1, 2, 3, 4, 5, 6 if you roll one die)

So,

\(\sf{Probability_{(6)}=\dfrac{1}{6}}\)

Hope the answer - and explanation - made sense to you,

happy studying!!

                                                                                                        \(\tiny\textit{frozen \ melody}\)

Answer:

4x+8

Step-by-step explanation:

4*x = 4x

4*2 = 8

4x+8

The equivalent expression using the distributive property is 4x + 8.

To use the distributive property to write an equivalent expression for 4(x + 2), we need to multiply each term inside the parentheses by the factor outside.

Using the distributive property, we multiply 4 by both x and 2:

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

Simplifying further:

4(x + 2) = 4x + 8

Therefore, the equivalent expression using the distributive property is 4x + 8.

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Answer: \(y=\frac{5}{4} x-\frac{5}{4}\)

Answer:

$7/lb

Step-by-step explanation:

$70 / 10 lb = $7/lb

Answer:

$7 per pound of letuce

Step-by-step explanation:

We know

10 pounds = $70

1 pounds = ?

We cross multiply and get:

$7 per pound of letuce

So, the answer is $7 per pound of letuce

The lengths of the other two sides of the right triangle are 24m and 25m, respectively.

Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.

According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we have the equation:

\(7^2 + x^2 = (x + 1)^2\)

Expanding and simplifying this equation, we get:

\(49 + x^2 = x^2 + 2x + 1\)

Now, we can cancel out \(x^2\) from both sides of the equation:

49 = 2x + 1

Next, we can isolate 2x:

2x = 49 - 1

2x = 48

Dividing both sides by 2, we find:

x = 24

Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.

Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.

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Answer:

False

Step-by-step explanation:

If the card is removed after it is picked, the number of cards in the deck decreases. For example, if you pick the first card remove it. The cards available decreases to 51, so the probability becomes 1/51 for the next draw. This is dependant probability.

Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

Answer:

DEH & DEJ

Step-by-step explanation:

It a acute and angle so it equal complementary

Answer:

500 (or 5) is in the hundreds place, 30 (or 3) is in the tens place, and 8 is in the ones place.

Step-by-step explanation:

500 is five-hundred, 30 is a ten (10, 20, 30, 40...), and 8 is a one because it is a single digit number and no other numbers come before it, unless it is a decimal.

we have that

The probability of getting 1 head when flipping a coin one time is

P=1/2

so

the probability of getting 2 heads when flipping a coin 2 times is

P=(1/2)*(1/2)=1/4

therefore

the answer is

Answer:

Step-by-step explanation:

it would be "c" because the question asks for the number that makes the inequality true

4x≤ x+3

the graph in c is saying that every number that is 1 or less than 1 makes the inequality true. so lets take -7 as an example

4 x -7=-28

-28+3=-25

-25 is greater than -28 so the inequality is true. the reason why graph d doesnt work is because if we plug in 2 into the equation, then 4x =8 and x+3=5

5 is not greater than 8 so it doesnt work

Answer:

q = 4 or above

Step-by-step explanation:

"4 or above" means 4, 5, 6, 7.... so on.  ">" means greater than, meaning any number that is on the bigger side of the symbol is greater/more than the number on the other side. Example:

q > d

4 > 3

5 > 3

Answer:

∠ GFC = 67°

Step-by-step explanation:

The sum of the 3 angles in Δ BCF = 180° , then

∠ FCB + 73° + 40° = 180°

∠ FCB + 113° = 180° ( subtract 113° from both sides )

∠ FCB = 67°

∠ GFC and ∠ FCB are alternate angles and are congruent , so

∠ GFC = 67°

"Country Day's scholarship fund receives a gift of $ 170000. The money is invested in stocks, bonds....'' the amount invested in the vehicle are CDs, Bonds, and Stocks

x=1047.38154613

z=70000

y=64501.24688279

What is ?

Generally, the equation for statement is mathematically given as

x + x + 100000 + y = 170000

5.25x + y = 70000....1

Using I=Prt; t=1; I=Pr

5.25x+5(x+100000 )+11.5y=12525 (100)

Therefore

5.25x+5x+500000+11.5y=1252500

10.25x+11.5y=1252500-500000

10.25x+11.5y=752500...2

x=1047.38154613

y=64501.24688279

In conclusion, the CDs, Bonds, and Stocks are;

x=1047.38154613

z=70000

y=64501.24688279

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Answer:

\(\displaystyle \frac{75}{2}\) or \(37.5\)

Step-by-step explanation:

We can answer this problem geometrically:

\(\displaystyle \int^6_{-4}f(x)\,dx=\int^1_{-4}f(x)\,dx+\int^3_1f(x)\,dx+\int^6_3f(x)\,dx\\\\\int^6_{-4}f(x)\,dx=(5*5)+\frac{1}{2}(2*5)+\frac{1}{2}(3*5)\\\\\int^6_{-4}f(x)\,dx=25+5+7.5\\\\\int^6_{-4}f(x)\,dx=37.5=\frac{75}{2}\)

Notice that we found the area of the rectangular region between -4 and 1, and then the two triangular areas from 1 to 3 and 3 to 6. We then found the sum of these areas to get the total area under the curve of f(x) from -4 to 6.

Answer:

\(\dfrac{75}{2}\)

Step-by-step explanation:

The value of a definite integral represents the area between the x-axis and the graph of the function you’re integrating between two limits.

\(\boxed{\begin{minipage}{8.5 cm}\underline{De\:\!finite integration}\\\\$\displaystyle \int^b_a f(x)\:\:\text{d}x$\\\\\\where $a$ is the lower limit and $b$ is the upper limit.\\\end{minipage}}\)

The given definite integral is:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x\)

This means we need to find the area between the x-axis and the function between the limits x = -4 and x = 6.

Notice that the function touches the x-axis at x = 3.

Therefore, we can separate the integral into two areas and add them together:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x=\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\)

The area between the x-axis and the function between the limits x = -4 and x = 3 is a trapezoid with bases of 5 and 7 units, and a height of 5 units.

The area between the x-axis and the function between the limits x = 3 and x = 6 is a triangle with base of 3 units and height of 5 units.

Using the formulas for the area of a trapezoid and the area of a triangle, the definite integral can be calculated as follows:

\(\begin{aligned}\displaystyle \int^6_{-4} f(x)\; \;\text{d}x & =\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\\\\& =\dfrac{1}{2}(5+7)(5)+\dfrac{1}{2}(3)(5)\\\\& =30+\dfrac{15}{2}\\\\& =\dfrac{75}{2}\end{aligned}\)

The fraction of the area of the tray occupied by the blondies is 1/9.

To find the fraction of the area of the tray occupied by blondies, we need to determine the area occupied by the blondies and compare it to the total area of the tray.

Let's calculate the area of each individual blondie:

The blondies are squares with 3-inch sides, so the area of each blondie is 3 inches × 3 inches = 9 square inches.

Now, let's calculate the area occupied by the blondies in each row:

Since there are 4 rows of blondies and each row contains 4 blondies, the total number of blondies is 4 rows × 4 blondies per row = 16 blondies.

So, the total area occupied by the blondies is 16 blondies × 9 square inches per blondie = 144 square inches.

Next, let's determine the area occupied by the brownies:

The brownies are squares with 6-inch sides, so the area of each brownie is 6 inches × 6 inches = 36 square inches.

Since there are also 4 rows of brownies and each row contains 4 brownies, the total number of brownies is 4 rows × 4 brownies per row = 16 brownies.

Therefore, the total area occupied by the brownies is 16 brownies × 36 square inches per brownie = 576 square inches.

Now, let's calculate the total area of the tray:

Given that the tray is completely full and has an area of 648 square inches, we can subtract the area occupied by the brownies from the total area to find the remaining area occupied by the blondies:

Total area of the tray - Area occupied by the brownies = Area occupied by the blondies

648 square inches - 576 square inches = 72 square inches.

So, the fraction of the area of the tray occupied by the blondies is:

Area occupied by the blondies / Total area of the tray = 72 square inches / 648 square inches.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 72 in this case:

72 square inches / 648 square inches = 1/9.

Therefore, the blondies' percentage of the tray's surface area is 1/9.

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Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

The equation has real and distinct solution.

What is quadratic equation?

An equation containing variables with its highest power as two is called quadratic equation.

Given, the quadratic equation is , \(x^{2} -7x+5=0\)

For the quadratic equation above, the roots are given by,

\(x= \frac{-b\pm\sqrt{b^2-4ac}} {2a}\)

Where a is the coefficient of \(x^{2}\),b is the coefficient of x and c is the constant term.

To find the nature of roots, we have to equate discriminant value to zero.

i.e., \(\sqrt{b^2-4ac}\) = 0

if \(\sqrt{b^2-4ac}\) =0, the roots are real and equal.

If \(\sqrt{b^2-4ac}\) > 0, the toots are real and distinct.

If \(\sqrt{b^2-4ac}\) <0, the roots are imaginary.

For this equation a=1, b=-7, c=5

\(\sqrt{b^2-4ac} = \sqrt{49-4(1)(5)}\)= \(\sqrt{29}\)

Here \(\sqrt{b^2-4ac}\) = \(\sqrt{29}\) > 0

Therefore, the equation has real and distinct solution.

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The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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Can u post the picture so we can help?

Answer:

ysysysuajan. ?bzjsjsnanannshzbzvsvs

Step-by-step explanation:

sgvsbsbahajananba

Answer:

i think its 4x

Step-by-step explanation:

hope it helps

Answer:

Z = 22.5, Y = 81, X = 26.7

Step-by-step explanation:

Using the lengths you do know compare them to the copy, the only two lengths available that are for the same side length are 33 and 22, divide them together and you get 1.5. Thats the scale factor. Everything else you can figure out by multiplying or dividing by this scale factor.

\(Z = (15)(1.5) = 22.5\\Y = (54)(1.5) = 81\\X = (40)/(1.5) = 26.7\)

Answer:

  61.03°

Step-by-step explanation:

You want the angle opposite the side of length 7 in the triangle with other sides of lengths 4 and 8.

The law of cosines relates the angles of a triangle to the side lengths. For triangle ABC with opposite sides a, b, c, the relation is ...

  c² = a² +b² -2ab·cos(C)

Solving for angle C, we have ...

  cos(C) = (a² +b² -c²)/(2ab)

  C = arccos((a² +b² -c²)/(2ab))

In this triangle, that means ...

  C = arccos((4² +8² -7²)/(2·4·8)) = arccos(31/64)

  C ≈ 61.03°

The angle of interest is about 61.03°.

__

Additional comment

We get the same result from a triangle solver. See the second attachment. (The angle we want is angle B in that attachment.)

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