Layla has a $25 Walmart gift card and spends $5 each month. Which equation can be used to find how
much money Layla has on his gift card after x months?

Answer:

Is 3(b+c) equivalent expressions?

A. True

Answer:

$595

Step-by-step explanation:

Triangle ADC also has a right angle at D, making it a right-angled triangle.

The exact value of x be 2.25.

The hypotenuse's square is equal to the sum of its two other side squares of a right-angled triangle, according to the Pythagoras theorem.

Triangle ADB exists even a right-angled triangle with right-angle at D.

Therefore, Base of Triangle ADB = BD = 4,

Height of Triangle ADB = AD = 3,

Hypotenuse of Triangle ADB = AB

Using the Pythagoras Theorem, we get,

\($\left[(A D)^2+(B D)^2\right]=(A B)^2$\)

substitute the values in the above equation, we get

or,\($(A B)^2=\left[(3)^2+(4)^2\right]$\)

simplifying the equation, we get

or, \($(A B)^2=[9+16]$\)

or, \($(A B)^2=25$\)

or, \($\sqrt{(A B)^2}=\sqrt{25}$\)

or, AB = 25

Triangle ADC is also a right-angled triangle with right-angle at D.

Therefore, Base of Triangle ADC = DC = x

Height of Triangle ADC = AD = 3,

And, Hypotenuse of Triangle ADC = AC

Using the Pythagoras Theorem, we get,

\(& {\left[(D C)^2+(A D)^2\right]=(A C)^2} \\\)

simplifying the equation, we get

\(& \text { or },(A C)^2=\left[(3)^2+(x)^2\right] \\\)

\(& \text { or },(A C)^2=\left[9+x^2\right]\)

Triangle ABC is also a right-angled triangle with right-angle at A. Therefore, Base of Triangle ABC = AC,

Height of Triangle ABC = AB = 5,

And, Hypotenuse of Triangle ABC =  BC = (4 + x)

Using the Pythagoras Theorem, we get,

\(& {\left[(A C)^2+(A B)^2\right]=(B C)^2} \\\)

\(& \text { or, }(B C)^2=\left[(A C)^2+(A B)^2\right] \\\)

substitute the values in the above equation, we get

\(& \text { or, }(4+x)^2=\left[\left(9+x^2\right)+(5)^2\right] \\\)

simplifying the equation, we get

\(& \text { or, }\left[4^2+(2 \times 4 \times x)+x^2\right]=\left[9+x^2+25\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]=\left[(9+25)+x^2\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]=\left[34+x^2\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]-\left[34+x^2\right]=0 \\\)

\(& \text { or, },(16-34)+8 x+\left(x^2-x^2\right)=0 \\\)

8x - 18 = 0

8x = 18

\(& \text { or, } x=\frac{18}{8} \\\)

\(& \text { or, } x=\frac{9 \times 2}{4 \times 2} \\\)

\(& \text { or, } x=\frac{9}{4} \\\)

Therefore, the value of x be 2.25.

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Answer:

ac(a+b)

Step-by-step explanation:

a² + ab + bc + ca

= a(a+b) + c(b+a)

= a(a+b) + c(a+b)

= ac(a+b)

The value of cosθ₁ is -40/41 when angle θ₁ is located in quadrant II and sinθ₁=9/41.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that angle θ₁ is located in quadrant II and sinθ₁=9/41.

We need to find the value of cosθ₁.

We know that sinθ is opposite side/hypotenuse .

opposite side=9 and hypotenuse is 41.

By pythagoras theorem we find the adjacent side.

41²=9²+x²

41²-9²=x²

1681-81=x²

Taking square root on both sides

x=40

So adjacent side is 40.

cosθ₁=Adj/hyp

=40/41

Since it is in second quadrant the value of cosθ₁ will be -40/41.

Hence, angle θ₁ is located in quadrant II and sinθ₁=9/41 then value of cosθ₁ is -40/41.

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Answer:If you use a graph and a table to solve an equation that shows two expressions equal to one another, how can you use algebra to check your answer? Choose the correct answer below. A. Rewrite the equation as two new equations, with the expression on each side of the original equation set equal to the answer you are checking, which is an estimate. Check to see if solving each of the new equations gives values of x  that are close to each other. If they are too far from each other, you may need to reexamine the table and graph. B. Input the answer into each expression and simplify. Check to see if the result gives exactly the same number on each side. If the numbers are not exactly equal, you may need to reexamine the table and graph. C. Input the answer into each expression and simplify. Check to see if the result, which is an estimate, gives numbers on each side which are close to each other. If they are too far from each other, you may need to reexamine the table and graph. D. Rewrite the equation as two new equations, with the expression on each side of the original equation set equal to the answer you are checking. Check to see if solving each of the new equations gives exactly the same values of x . If they are not equal, you may need to reexamine the table and graph.

Step-by-step explanation:

The solution of the given inequality is y ≤ -3.

The given inequality is -

3y ≤ −9

We have to solve this given inequality.

Now, we have the inequality as -

3y ≤ −9

=> y ≤ -3

Thus, the solution of the given inequality is y ≤ -3.

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Answer:

B

Step-by-step explanation:

Formula for finding the volume of a cone:  \(V=\pi r^{2} \frac{h}{3}\)

From the question, we can tell that the height, h, is equal to 2d or 4r.

h = 4r.

Substitute h into the volume formula:

\(V=\pi r^{2} \frac{4r}{3}\)

Rearrange to get the final equation of:

\(V=\frac{4}{3} \pi r^{3}\)

Answer:

The answer is D. -9 and -3

Step-by-step explanation:

since the graph starts at 1 and goes backwards, it cant be 1. so that rules out A. and B. then it requires the numbers to be negative because if they are a whole number over 1, they don´t fit the inequality. I hope this helps :))

Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.

We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.

Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.

Therefore,  y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.

Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.

Simplifying, we have :3x = $90000 + 75 = $90075.

Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.

Therefore, Jane received $30025 and Lydia received $60000.

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(Option A) 1/2 - This is a rational number because it is a fraction with both numerator and denominator being integers.

A rational number is any number that can be written as a fraction of two integers (where the denominator is not equal to zero). Examples of rational numbers include:

A rational number can be represented in many different forms. It can be written as a fraction, with both the numerator and denominator being integers, or as a decimal, with the decimal part either terminating or repeating. A rational number can also be written as a mixed number, which is a combination of an integer and a fraction.

Which of the following is a rational number?

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The true statements are, The probability of drawing a 2 is 0 and  The probability of drawing a number 5 or greater is greater than the probability of drawing a number less than 5.

Prοbability is a way οf calculating hοw likely sοmething is tο happen. It is difficult tο prοvide a cοmplete predictiοn fοr many events. Using it, we can οnly fοrecast the prοbability, οr likelihοοd, οf an event οccurring. The prοbability might be between 0 and 1, where 0 denοtes an impοssibility and 1 denοtes a certainty.

Here the given , Total number of outcomes = N {3,4,4,5,5,6,6,6} = 8

Now probability = No of Favorable outcome/ Total outcome.

Here Option A , Number of 2 = 0.

Then probability of getting 2 = 0/8 = 0.

Option B, Number of 7 = 0

Then probability of getting 7 =0/8 = 0

Option C , Number of 5's = 2

probability of getting 5 = 2/8 = 1/4

Number of less than 5 = 3

Probability of getting less than 5 = 3/8

Here 1/4 > 3/8 . Then The probability of drawing a number 5 or greater is greater than the probability of drawing a number less than 5.

Option D, Here least number in given is 3 not 5.

Hence the true statements are, The probability of drawing a 2 is 0 and The probability of drawing a number 5 or greater is greater than the probability of drawing a number less than 5.

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Answer:

1,480

Step-by-step explanation:

*This number had one 0

* This number is divisible by 4

* This number is divisible by 10

Answer:

Step-by-step explanation:

6/9+x=7/10

x=7/10-6/9

when adding fractions both denominators must be equal, we’ll make them 90

x=(7/10)(9/9)-(6/9)(10/10)

x=63/90-60/90

x=3/90, the greatest divisor of 3 and 90 is 3 so divide both the numerator and denominator by 3

x=(3/3)/(90/3)

x=1/30

Answer:

The coordinates of the centroid are (0, 5)

Step-by-step explanation:

The coordinates of the centroid of a triangle whose vertices (x1, y1), (x2, y2), and (x3, y3) are (\(\frac{x1+x2+x3}{3}\) , \(\frac{y1+y2+y3}{3}\))

In Δ ABC

∵ A = (-20, 0), B = (0, 15), C = (20, 0)

∴ x1 = -20, x2 = 0, x3 = 20

∴ y1 = 0, y2 = 15, y3 = 0

∴ The centroid = (\(\frac{-20+0+20}{3}\) , \(\frac{0+15+0}{3}\)) = (\(\frac{0}{3}\) , \(\frac{15}{3}\)) = (0, 5)

∴ The coordinates of the centroid of Δ ABC are (0, 5)

In Δ DBE

∵ D = (-15, 0), B = (0, 15), E = (15, 0)

∴ x1 = -15, x2 = 0, x3 = 15

∴ y1 = 0, y2 = 15, y3 = 0

∴ The centroid = (\(\frac{-15+0+15}{3}\) , \(\frac{0+15+0}{3}\)) = (\(\frac{0}{3}\) , \(\frac{15}{3}\)) = (0, 5)

∴ The coordinates of the centroid of Δ DBE are (0, 5)

In Δ FBG

∵ F = (-5, 0), B = (0, 15), G = (5, 0)

∴ x1 = -5, x2 = 0, x3 = 5

∴ y1 = 0, y2 = 15, y3 = 0

∴ The centroid = (\(\frac{-5+0+5}{3}\) , \(\frac{0+15+0}{3}\)) = (\(\frac{0}{3}\) , \(\frac{15}{3}\)) = (0, 5)

∴ The coordinates of the centroid of Δ FBG are (0, 5)

∵ The three triangles are symmetric about the y-axis

→ That means they have the same centroid and it lies on the y-axis

∴ The coordinates of the centroid are (0, 5)

answer is option D ,The multiplicative inverse of a number is the reciprocal of that number such that when you multiply them together, you get one. The multiplicative inverse of -7 is -1/7.

what is multiplicative inverse ?

The multiplicative inverse of a number is also known as its reciprocal. It is the number that, when multiplied by the original number, results in a product of 1. In other words, if the original number is a, then its multiplicative inverse

In the given question,

The additive inverse of a number is the opposite of that number such that when you add them together, you get zero. The additive inverse of -7 is 7.

The multiplicative inverse of a number is the reciprocal of that number such that when you multiply them together, you get one. The multiplicative inverse of -7 is -1/7.

Therefore, the correct answer is (c) multiplicative inverse -1/7; additive inverse -7.

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The expression for the perimeter is P = 12x - 16

The given parameters are

Length = 3x + 1

Width = 3x - 9

The perimeter is calculated as

P = 2 * (Width + Length)

So, we have

P = 2 * (3x + 1 + 3x - 9)

Evaluate

P = 2* (6x - 8)

Expand

P = 12x - 16

Hence, the expression for the perimeter is P = 12x - 16

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The shape of the population can be disregarded when working with sampling distribution of sample mean.

The correct option is Option D)

What is central limit theorem?

The central limit theorem in probability theory proves that, even if independent random variables are not normally distributed in themselves, in many cases, when they are added together, their correctly normalized sum tends toward a normal distribution.

As in the central limit theorem mean and standard deviation is given but there is not mention of shape of the distribution.

Hence shape of the distribution is not taken into considerations.

Therefore, The shape of the population can be disregarded when working with sampling distribution of sample mean.

The correct option is Option D)

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Answer: 5x + 2

Step-by-step explanation:

Answer:

Its  A. 5x + 2

Step-by-step explanation:

a p e x ! <3

Answer:

118

Step-by-step explanation:

118.385

  |

ones place

Answer:

118

Step-by-step explanation:

118.385

5 rounds 8 to 9

9 rounds 3 to 4

4 isnt 5 or above so 4 makes 8 stay the same

Answer:

5 shipments had at least 10 broken tiles but less than 20 broken tiles.

Answer:

x would be equal to 5 and the other one to your right would be 3 because O1t is aka known as a linear expression so you would have the multiply by 2 and use and exponent square

Answer:

13x=52

x=14

y=-37

plz mark brainliest

Answer:

{x,y}={4,7}

Step-by-step explanation:

3x - y = 5

x+ 4y = 32

y + 3x = 5   ,      4y + x = 32  

x = -4y + 32

3•(-4y+32) - y = 5

- 13y = -91

13y = 91  

 y = 7

x = -4y+32

 y = 7

x = -4(7)+32 = 4

so the final solution is:

⇒x = -4(7)+32 = 4

Answer: k = 2/-3

Step-by-step explanation: Option (B)

Taking the test as we speak

Answer:

39 pounds of type A coffee were used.

Step-by-step explanation:

Given: Cost of type A coffee is $4.15 per pound and cost of type B coffee is $5.25 per pound. Also, blend used four times as many pounds of type B coffee as type A.

To find: How many pounds of type A coffee were used.

Let \(x\) be the number of pounds of type A coffee and \(y\) be the number of pounds of type B coffee.

Then, according to question,

\(4.15x+5.25y=980.85\) and \(y=4x\)

Substituting \(y=4x\) in \(4.15x+5.25y=980.85\), we get

\(4.15x+5.25(4x)=980.85\)

⇒\(4.15x+21x=980.85\)

⇒\(25.15x=980.85\)

⇒\(x=\frac{980.85}{25.15}\)

⇒\(x=39\)

Therefore, 39 pounds of type A coffee were used.

Answer:

The value of the expression is 7.5

Step-by-step explanation:

To calculate the value of the expression -4 + (4.5 + 7), we first need to simplify the inner parentheses:

-4 + (4.5 + 7)

-4 + 11.5

Next, we can perform the addition:

-4 + 11.5 = 7.5

Therefore, the value of the expression -4 + (4.5 + 7) is 7.5.

Answer:

Use the formula cosC+cosD:2cos(C+D/2)cos(C-D/2) Use this in the question: 2cos(10+110/2)cos(10-110/2)+cos130=0 2cos60°cos(-50°)+cos130°=0 2×1/2.cos50+cos130=0 cos50+cos130=0 2cos(50+130/2)cos(50-130/2)=0 2cos90.cos40=0 2×0.cos40=0 0=0 H.P

Step-by-step explanation:

Answer:

Step-by-step explanation:

Do u see any similarities between the numbers? Both 12 and -4 have a variable(N). 8 and -7 dont have a variable, so u have to calculate them individually.

One thing to remember is just because there is a minus sign(-) or a plus sign(+) does not mean its addition or subtraction. its the value of the number. the sign to the left of the number is its value. so left of 12 is plus(+), so its a positive. left of 4 is a minus sign(-) so its a negative 4. lastly, left of 7 is minus sign(-), which means its negative 7. now u add.

lets add the variables first:

12n + (-4n) = 8n

add the regular numbers:

8 + (-7) = 1

so its 8n + 1

Answer:

3m − 5

Step-by-step explanation:

Answer:

3m - 5

Step-by-step explanation: