ABCD is a rectangle. find the length of each diagonal. AC= 3(x-2) and BD=x+18 what is AC? What is BD?

Lou spends the total amount would be $26.98 on​ gas which is determined by subtracting 13 gallons and 5.9 gallons and multiplying the result by $3.80.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

The following information is provided in the problem :

Lou topped up the tank with $3.80 per gallon of petrol.

Lou's car's 13-gallon tank held 5.9 gallons.

If he filled the tank, you can determine the total amount of money Lou spent by subtracting 13 gallons and 5.9 gallons and multiplying the result by $3.80.

So the total amount would be:

⇒ (13 - 5.9)(3.80)

⇒ (7.1)(3.80)

⇒ 26.98.

Therefore, the total amount would be $26.98

Learn more about Arithmetic operations here:

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It can't be factored due to many reasons.

I hope this helps. :)

3x^3 - 4x^2 - 15x - 20

Cannot be factored.

Hope that helps

It depends on how t is approaching 2.

In fact, if you consider the right limit, you have

[tex] \displaystyle \lim_{t \to 2^+} \dfrac{2-t}{|t-2|} [/tex]

But since t is greater than 2, t-2 is positive, and thus |t-2| = t-2.

So, the limit becomes

[tex] \displaystyle \lim_{t \to 2^+} \dfrac{2-t}{t-2} = \lim_{t \to 2^+} -1 = -1 [/tex]

On the other hand, if you consider the left limit, you have

[tex] \displaystyle \lim_{t \to 2^-} \dfrac{2-t}{|t-2|} [/tex]

But since t is less than 2, t-2 is negative, and thus |t-2| = -t+2.

So, the limit becomes

[tex] \displaystyle \lim_{t \to 2^+} \dfrac{2-t}{-t+2} = \lim_{t \to 2^+} 1 = 1 [/tex]

So, this limit does not exist, because the left and right limits exist but are not the same.

[tex]2 - 4(x + 7) = 3 + 2 (x + 2)\\\\2-4x-28=3+2x+4\\\\6x=-33\\\\x=-\dfrac{33}{6}=-\dfrac{11}{2}[/tex]

Solution: The another way to show the Fuaad's solution is [tex]x>7[/tex].

Explanation:

It is given that the solution of an inequality is [tex]-12<x>7[/tex].

It can be break in two parts [tex]-12<x[/tex] and [tex]x>7[/tex].

The inequality [tex]-12<x[/tex] means the values of x is greater than [tex]-12[/tex] and the inequality [tex]x>7[/tex] means the value of x is greater that than 7.

When we combine both results we get [tex]x>7[/tex] it means the value of x is greater than 7.

It can also represented by number line as shown in given figure.

The number line shows the values of x and red lines shows the solution of both inequalities [tex]-12<x[/tex] and [tex]x>7[/tex].

The common region shows the combination of both the possible inequalities, therefore the  another way to show the Fuaad's solution is [tex]x>7[/tex].

Answer:

C (btw its x less than 7)

Step-by-step explanation:

Becuase the first option represents that the arrows go separate ways to infin.

the second option states that one variable is greater than of equal to and the other is only <

the third correctly shows and represents the inequality

the fourth one has the OR which means a number that is plugged in only needs to satisfy one of the inequalities which is not the point.

Hi!

[tex]2x-1=\frac{3}{4x+9}[/tex]

[tex]2x(4x+9)-1*(4x+9)=\frac{3}{4x+9}(4x+9)[/tex]

[tex]2x(4x+9)-(4x+9)=3[/tex]

[tex]2x(4x+9)-(4x+9)=3[/tex]

[tex]x=\frac{\sqrt{145-7} }{8},x=-\frac{7+\sqrt{145} }{8}[/tex]

[tex]x=\frac{\sqrt[]{145-7} }{8}, or x=-\frac{7+\sqrt{145} }{8}[/tex]

Explanation: First you had to multiply by 4x+9 from both sides. Then simplify, it gave us 2x(4x+9)-(4x+9)=3. Next you can also solve 2x(4x+9)-(4x+9)=3. And the answer it gave us is x=√145-7/8 or x=-7+√145/8 is the right answer. Hope this helps! And thank you for posting your question at here on Brainly. And have a great day. -Charlie

y = - 5

substitute the value of x = 4 into the equation and solve for y

- 12 + 9y = - 57 ( add 12 to both sides )

9y = - 45 ( divide both sides by 9 )

y = [tex]\frac{-45}{9}[/tex] = - 5

-3(-4)+9y=-57

12+9y=-57

9y=-57-12

9y=-69

9y/9=69/9

y=-23/3

Hi, I'm Jenny from ExperimentsDIYS and I'm here to help you with your math! :)

I am assuming that you need help with question #1 so we will proceed with that one.

Lets first divide 1,875 ÷ 9.

Using a calculator, this is equal to 208.333333333

We can simplify this number by rounding up.

208.33 would be your answer rounded.

The first digit in this quotient ( Which is the answer to a division problem) is using place value.

The decimal place value chart is attached.

The first digit will be in the hundreds place because it is on the left side of the decimal point.

We are ecstatic to help and if there are any more problems or if we got any answers wrong please tell us! Thank you <3

-ExperimentsDIYS

The correct option is c.

The first digit of the result of the division 1,875 ÷ 9 is in the hundreds place

Firstly, let's perform the division operation 1,875 ÷ 9 using long division method. The result of this division operation will be 208.333333.. . In this case, the first digit will be in the place that you are asked to identify.

The first digit, '2', is in the hundreds place. It's in this position because it's the first digit to the left of the decimal point. Further to its right, are the ones place (0) and the tenths place (8).

So, the correct option is 'C - hundreds' to fill in the blank for the sentence 'The first digit in the quotient 1,875 ÷ 9 will be in the hundreds place.'

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The complete question is here;

choose the word that makes the sentence true. The first digit in the quotient 1,875 ÷9

Options  a. ones b. tens c. hundreds d. thousands

will be in the _______ place.

Hello, here are the fraction forms for this equation

Irrational fraction form; -153/20

Mixed number form; -7 13/20

Hoped this helped

The answer to 32.436 divided by -4.24 is approximately -7.65. However, the conversion of this decimal to a fraction gives us approximately -77/10.

To answer the question, 32.436÷(-4.24) as a fraction, first, we should perform the division operation. The division of a positive number by a negative one will give a negative result. Hence, 32.436 divided by -4.24 is -7.65 approximately.

The answer as a decimal is -7.65. However, translating this decimal to a fraction isn't straightforward while keeping it a meaningful fraction, because 7.65 isn't easily expressed as a fraction. If you needed to express it as a fraction, you might round this to -77/10. But it's important to note it's an approximation, not exact.

Thus, 32.436÷(-4.24) becomes approximately -77/10 when expressed as a fraction.

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x - 4.76 = -7

Add 4.75 to both sides.

x = -2.24

The value of x for the given expression will be equal to -2.24.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is x−4.76=−7. The value of x will be calculated as,

x - 4.76 = -7

Add 4.75 to both sides.

x = -2.24

Therefore, the value of x for the given expression will be equal to -2.24.

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Answer:

On Friday Altoona receive over 1 inch more snow than Bethlehem.

Step-by-step explanation:

Consider the provided table.

First convert all the mixed fraction in decimal form.

Monday:

Altoona: [tex]2\frac{1}{4}=\frac{9}{4}=2.25[/tex]

On Monday Altoona received snowfall 2.25 inches

On Monday Bethlehem received snowfall 2.6 inches

Altoona receive Less snow on Monday.

Tuesday:

Altoona: [tex]3\frac{1}{4}=\frac{13}{4}=3.25[/tex]

On Tuesday Altoona received snowfall 3.25 inches

On Tuesday Bethlehem received snowfall 3.2 inches

The difference of 3.25 and 3.2 is 3.25-3.2=0.05

On Tuesday Altoona received over 0.05 inch more snow than Bethlehem.

Wednesday:

Altoona: [tex]2\frac{5}{8}=\frac{21}{8}=2.625[/tex]

On Wednesday Altoona received snowfall 2.625 inches

On Wednesday Bethlehem received snowfall 2.5 inches

The difference of 2.625 and 2.5 is: 2.625-2.5=0.125

On Wednesday Altoona received over 0.125 inch more snow than Bethlehem.

Thursday:

Altoona: [tex]4\frac{3}{5}=\frac{23}{5}=4.6[/tex]

On Thursday Altoona received snowfall 4.6 inches

On Thursday Bethlehem received snowfall 4.8 inches

Altoona receive Less snow on Thursday.

Friday:

Altoona: [tex]4\frac{3}{4}=\frac{19}{4}=4.75[/tex]

On Friday Altoona received snowfall 4.75 inches

On Friday Bethlehem received snowfall 2.7 inches

The difference of 4.75 and 2.7 is: 4.75-2.7=2.05

On Friday  Altoona received over 2.05 inch more snow than Bethlehem.

Hence, On Friday Altoona receive over 1 inch more snow than Bethlehem.

x-intercept = - 2 , y-intercept = 6

to find the intercepts, that is where the graph crosses the x and y axes

• let x = 0, in the equation for y-intercept

• let y = 0, in the equation for x-intercept

x = 0 : y = 0 + 6 = 6 ⇒ (0, 6 ) is the y-intercept

y = 0 : 3x + 6 = 0 ⇒ x = - 2 ⇒ (- 2, 0 ) is the x-intercept

if each block is 2/3 miles long, and he walks 4 1/2 blocks, we can simply multiply to two. It looks like this:

(2/3)(4 1/2)

to multiply, make 4 1/2 into an improper fraction and multiply normally

(2/3)(9/4)

Ton walks 3 miles total.

Final answer:

Ton walks a total distance of 3 miles if each block is 2/3 mile long and he walks 4 1/2 blocks by multiplying the length of one block by the number of blocks walked.

Explanation:

The question asks about the total distance Ton walks if each block in his neighborhood is 2/3 mile long and he walks 4 1/2 blocks. To find the total distance, we can multiply the length of one block by the number of blocks walked:

Convert 4 1/2 blocks to an improper fraction: 4 1/2 = 9/2 blocks.

Multiply the length of one block by the number of blocks: (2/3 mile/block) × (9/2 blocks) = (2×9) / (3×2) = 18 / 6 = 3 miles.

Therefore, Ton walks a total distance of 3 miles.

it is 14 because if you

they will each get 1/6 pound of chocolate. 1/2 divide by 3 = 1/6

[tex]\frac{1}{2}[/tex] divided by 3

[tex]\frac{1}{2}[/tex]  /  3

Each person gets [tex]\frac{1}{6} lb. of chocolate

Answer:

If you know that the function is not odd, you know that the graph does not have rotational symmetry

Step-by-step explanation:

There is a theorem that says: "A function is odd if, and only if, its graph is symmetric with respect to the origin, or it has rotational symmetry in 180 ° with respect to the origin"

This statement is equivalent to:

If a function is odd, its graph has rotational symmetry with respect to the origin

If a graph has rotational symmetry with respect to the origin then the function is odd.

Therefore, it is impossible for the graph to have rotational symmetry with respect to the origin and the function is not odd.

Then, if you know that the function is not odd, you know that the graph does not have rotational symmetry

Answer:

a) We can just add Distance from Tulsa to Dallas and distance from Dallas to Houston,

258 + 239 = 497

b) It's the same distance = 497

c) We can tell its the same distance, because we are travelling in the same road, which would mean it would be no different when going to or coming back from Houston.

Hello, The answer is 90.

because, 3x2 x 3x-5= 90

it is y cause i just did that with my student

Answer: Option a) 33 1/3 lbs

Solution:

Be

Attraction force (F) varies inversely as the square of the distance between them:

F=k/d^2

Constant of proportionality: k

Distance between the two masses: d

F=75 lbs when d=8 feet

Replacing in the formula above:

F=k/d^2

75 lbs=k/(8 feet)^2

Squaring in the denominator:

75 lbs=k/(64 feet^2)

Solving for k: Multiplying both sides of the equation by 64 feet^2:

(64 feet^2)(75 lbs)=(64 feet^2)[k/(64 feet^2)]

4,800 lbs*feet^2=k

k=4,800 lbs*feet^2

F=k/d^2

F=4,800 lbs*feet^2/d^2

Find the attraction when the masses are twelve feet apart:

F=?

d=12 feet

Replacing in the formula:

F=4,800 lbs*feet^2/(12 feet)^2

Squaring in the denominator:

F=4,800 lbs*feet^2 / (144 feet^2)

Dividing:

F=(4,800/48)/(144/48) lbs

F=100/3 lbs

F=(99+1)/3 lbs

F=(99/3+1/3) lbs

F=33 1/3 lbs

Final answer:

Using Newton's inverse square law for gravitational force, it is determined that the force of attraction will be a) 33 1/3 lbs when the distance between the masses is increased from 8 to 12 feet.

Explanation:

The scenario described falls under the gravitational force law stated by Isaac Newton, which is a fundamental concept in Physics. The force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them (F ∝ 1/d²). We are given that the gravitational attraction is 75 lbs when the bodies are 8 feet apart. To find the force at a distance of 12 feet, we use the inverse square law which indicates that increasing distance reduces gravitational force.

Let F1 be the initial force and d1 be the initial distance, and let F2 be the force at a new distance d2. According to the inverse square law, we have F1/F2 = (d2/d1)². Plugging in the values F1 = 75 lbs, d1 = 8 feet, and d2 = 12 feet, we get 75/F2 = (12/8)² = 2.25. Solving for F2, we find that F2 = 75 / 2.25 = 33.33 lbs.

Therefore, the gravitational attraction when the masses are twelve feet apart is 33 1/3 lbs.

Is it 20?? I'm severely confused by this question too lol.

In the given scenario, the dependent variable is the daily number of tickets sold at the adventure fun park where Maya works. This changes based on the independent variable, which is the daily high temperature.

In the scenario where Maya works at an adventure fun park and notices a change in the daily number of tickets sold depending on the daily high temperature, the dependent variable is the daily number of tickets sold at the park. This means that the number of tickets sold relies on or 'depends on' another factor, which in this case, is the daily high temperature. The daily high temperatures are the independent variable - the variable that signifies what changes can impact the other variable, the dependent variable.

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Hey there,

So the answer is 13.

The explanation is:

We are asked to find f(10), so let's evaluate this function at 10 by plugging this in for x.

So, as we know about the 10, the f(x) is going to be this- f(10).

We put f(10)= 10 over 2 + 8= 5+8 = 13

We have to flip the 8.

So you answer should be 13

Hope this helps...

-Justin0208