Calculate the sales tax on purchases totaling $15,245. The
sales tax rate is 8.25%.
$825
$16,070
$16,502.71
$1,257.71
$15,245​

Answer:

the answer would be 3.25 meters

Answer:

3 meters and 25 centimeters of ribbon

Step-by-step explanation:

See the attached picture:

Answer: I believe the answer is the second choice.  

81y^4 - 16x^2, the difference of squares.

Step-by-step explanation:

Answer:

-(√5)/3

Step-by-step explanation:

The tangent being negative means the sine and cosine have opposite signs. Using the identity ...

cos(o) = ±√(1 -sin(o)^2)

we find ...

cos(o) = -√(1 -(2/3)^2) = -√(5/9)

cos(o) = -(√5)/3

Multiply the bracket by 3

3(2f+g+4)

My answer is 6f+3g+12

Answer is true

This is true. You applied the Distributive Property authentically.

I hope to understood my writing

To determine at what time the two lorries will meet, we can use the concept of relative speed. Since the lorries are moving towards each other, their relative speed is the sum of their individual speeds.
The speed of the first lorry is 63 km/h and the speed of the second lorry is 67 km/h. Together their combined speed is:
63 km/h + 67 km/h = 130 km/h
Now we need to calculate how long it will take for them to cover the distance of 520 km between the two towns at their combined speed.
The time taken to cover a distance is equal to the distance divided by the speed, so the time taken \( t \) in hours can be found by:
\( t = \frac{distance}{speed} \)
Substituting the known values into this formula gives us:
\( t = \frac{520 km}{130 km/h} = 4 \) hours
Now we know the lorries will meet after 4 hours of travel.
Given that the lorries start to travel at 7:30 am, we add 4 hours to that time to find the meeting time.
7:30 am + 4 hours = 11:30 am
Therefore, the two lorries will meet at 11:30 am.

Answer:

3y² + 7y + 4 = (3x + 4)(x + 1)

Step-by-step explanation:

* To factor a trinomial in the form ax² ± bx ± c:

- Look at the c term

# If the c term is positive

∵ c = r × s ⇒ r and s are the factors of c

∴ r and s will have the same sign (sign of b)

∵ a = h × k ⇒ h , k are the factors of a

∴ rk + hs = b

∴ (hx + r)(kx + s) ⇒ if b +ve  OR  (hx - r)(kx - s) ⇒ if b -ve

# If the c term is negative

∵ c = r × s ⇒ r and s are the factors of c

∴ r and s will not have the same sign

∵ a = h × k ⇒ h and k are the factors of a

∴ rk - hs = b OR hs - rk = b

(hx + r)(kx - s) OR (hx - r)(kx + s)

* Now lets solve the problem

∵ 3y² + 7y + 4

∵ ax² + bx + c

∴ a = 3 , b = 7 , c = 4

∵ a = h × k

∵ 3 = 3 × 1

∴ h = 3  , k = 1

∵ c = r × s

∵ 4 = 4 × 1

∴ r = 4 , s = 1

∵ c is positive

∴ hs + rk = b

∴ 3(1) + 4(1) = 7 ⇒ same value of b

∴ 3y² + 7y + 4 = (3x + 4)(x + 1)

Answer:

The factors of 3y^2 + 7y + 4 are

(y +1) and (3y + 4)

Step-by-step explanation:

It is given a quadratic equation in variable y

3y^2 + 7y + 4

To find the factors using splitting method

3y^2 + 7y + 4 can be written as,

3y^2 + 7y + 4 = 3y^2 + 3y + 4y + 4

 = 3y(y + 1) + 4(y + 1)

 = (y + 1)(3y + 4)

Therefore the factors of 3y^2 + 7y + 4 are

(y +1) and (3y + 4)

Answer:

Measure B= 121

Measure C=59

Step-by-step explanation:

10x-19=7x+23

3x=42

x=14

plug in x to the problem and you'll find Measure B is 121 so to find Measure C you'll have to subtract 180 and 121 to get 59.

The value of angle B is 121 degree and Angle C is 59 degree, and Angle D has the same measure as the angle B

It is defined as the four-sided polygon in geometry having four edges and four corners and two pairs of congruent sides. It has one pair of opposite congruent angles.

We have a quadrilateral in which angle B and angle D are given.

As we know the opposite angles in the quadrilateral are same in measure.

10x - 19 = 7x + 23

3x = 42

x = 14

Angle B =  10x - 19 = 10(14) - 19 = 121 degree

Angle C =  7x + 23 = 7(14) + 23 = 121 degree

Angle A + Angle C = 360 - 121 -121 = 118

Angle C = 118/2 = 59

Thus, the value of angle B is 121 degree and Angle C is 59 degree, and Angle D has the same measure as the angle B

Learn more about the quadrilateral here:

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Answer:

20.922

Step-by-step explanation:

Evaluate ln 7.2 on a calculator; the correct result is 1.974.

Multiply that by 3, obtaining 5.922.

Finally, add 15 to that result:  y = 15 + 3 In 7.2 = 20.922

Mary is 10 yrs old now.

Explanation:

10+20=30

30÷3=10

So, Mary has to be 10yrs old now.

Mary is currently 10 years old.

Given that in coming 20 years Mary's age will be 3 times her present age, we need to calculate her present age,

Let's assume Mary's current age is represented by "x". According to the given information, in 20 years, Mary will be three times as old as she is now. Therefore, her age in 20 years will be 3 times her current age, which can be expressed as 3x.

So, we can set up the equation:

x + 20 = 3x

To solve this equation, we can subtract x from both sides:

20 = 2x

Then, we can divide both sides by 2:

x = 10

Therefore, Mary is currently 10 years old.

Learn more about equation click;

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Answer:

Step-by-step explanation:

[tex]x^2+11=36\qquad\text{subtract 11 from both sides}\\\\x^2=25\to x=\pm\sqrt{25}\\\\x=-5\ or\ x=5\\============================\\\\\dfrac{x^2-25}{x+5}=0\qquad Domain:\ x+5\neq0\to x\neq-5\\\\\dfrac{x^2-25}{x+5}=0\to x^2-25=0\qquad\text{add 25 to both sides}\\\\x^2=25\to x=-5\notin D\ or\ x=5\in D[/tex]

For this case we must find an expression equivalent to:

[tex]log_ {5} (\frac {x} {4}) ^ 2[/tex]

So:

We expanded [tex]log_ {5} ((\frac {x} {4}) ^ 2)[/tex]by moving 2 out of the logarithm:

[tex]2log_ {5} (\frac {x} {4})[/tex]

By definition of logarithm properties we have to:

The logarithm of a product is equal to the sum of the logarithms of each factor:

[tex]log (xy) = log (x) + log (y)[/tex]

The logarithm of a division is equal to the difference of logarithms of the numerator and denominator.

[tex]log (\frac {x} {y}) = log (x) -log (y)[/tex]

Then, rewriting the expression:

[tex]2 (log_ {5} (x) -log_ {5} (4))[/tex]

We apply distributive property:

[tex]2log_ {5} (x) -2log_ {5} (4)[/tex]

Answer:

An equivalent expression is:

[tex]2log_ {5} (x) -2log_ {5} (4)[/tex]

Answer: the answer is c

Step-by-step explanation: 2log5x-2log54

the x value of point a is 5

The x value of point A is; 5

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line.

We have been given a graph representing the point A.

therefore, we need to find the coordinate of the given point.

So, we can see that the coorddinate of the point A is (5, 5)

The value x in the point A would be 5.

Learn more about function here:

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____________________________________________________

Answer:

Your answer would be 36 kg m²/s²

____________________________________________________

Step-by-step explanation:

To find the canoe's kinetic energy, we would need to use the kinetic energy formula in order to get the actual kinetic energy of the moving canoe.

The equation for this problem would be:

[tex]KE = 1/2mv^2[/tex]

With what we know from the questions, our mass would be 18, and our speed would be 2. We would plug those numbers in our equation. Your equation should look like this:

[tex]KE = 1/2(18)(2)^2[/tex]

Now, we solve:

[tex]KE = 1/2(18)(2)^2\\\\KE=1/2(18)(4)\\\\KE=(9)(4)\\\\KE=36[/tex]

Once you're done solving, you should get the answer of 36.

Therefore, the canoe's kinetic energy would be 36 kg m²/s².

36 kg m²/s² should be your FINAL answer.

____________________________________________________

Answer:

Hello :))

Step-by-step explanation:

You should set this up as a proportion equation. 8.1kg /1hr =x/7hr You would cross multiply here and end up getting the equation... 1x=8.1*7 (x=56.7 kg)

Hope this helps! :))

Answer:

C

Step-by-step explanation:

The shape consists of a cylinder and a hemisphere.

The volume of a cylinder is:

V = πr²h

where r is the radius (half the diameter) and h is the height.

The volume of a hemisphere is:

V = ⅔ πr³

where r is the radius (half the diameter).

The cylinder and hemisphere both have a diameter of 8 cm, or a radius of 4 cm.  The cylinder has a height of 17 cm.

So the total volume is:

V = π(4 cm)²(17 cm) + ⅔ π(4 cm)³

V = π (272 + 128/3) cm³

V ≈ 988.6 cm³

Answer:

16, 26, 36

Step-by-step explanation:

In order to solve this problem, you MUST find the number that is making the pattern flow. The first method you should try is to subtract the first number from the second. That means -24 - (-14), which equals 10. If you continue to do this is every number, 10 will be the answer. Now that we have the number add 10 to the number and the next number, to find the answers.

Ex.

[tex]6 + 10 = 16\\16 + 10 = 26\\26 + 10 = 36[/tex]

This is how you solve this problem.

Answer:

The least and the greatest weights are 315 grams and 325 grams

Step-by-step explanation:

* Lets explain what is the upper and lower bounds

- The lower bound is the smallest value that would round up to the

  estimated value.

- The upper bound is the smallest value that would round up to the next

 estimated value.

- Ex: a mass of 70 kg, rounded to the nearest 10 kg, has a lower

 bound of 65 kg, because 65 kg is the smallest mass that rounds to

 70 kg. The upper bound is 75 kg, because 75 kg is the smallest mass

 that  would round up to 80 kg, then 65 ≤ weight < 75

- So to understand how to find them divide the nearest value by 2

 and then subtract it and add it to the approximated value

* Lets solve the problem

- A packet of crisps weighs 32 grams to the nearest gram

- The nearest value is 1 gram

∴ 1 ÷ 2 = 0.5

- To find the lower bound subtract 0.5 from the approximated value

∵ The approximated value is 32

∴ The lower bound = 32 - 0.5 = 31.5 grams

- To find the upper bound add 0.5 from the approximated value

∵ The approximated value is 32

∴ The upper bound = 32 + 0.5 = 32.5 grams

∴ 31.5 ≤ weight of one packet < 32.5

∵ A multipack of crisps contain 10 packets

- To find the least and greatest weights of the multipack multiply the

  the lower bound and the upper bound by 10

∵ The least value of one packet is 31.5

∴ The least weight of the mulipack = 31.5 × 10 = 315 grams

∵ The greatest value of one packet is 32.5

∴ The greatest weight of the mulipack = 32.5 × 10 = 325 grams

∴ 315 ≤ weight of multipack < 325

* The least and the greatest weights are 315 grams and 325 grams

Least weight of the multipack: 315 grams. Greatest weight of the multipack: 325 grams. Each packet ranges from 31.5 grams to 32.5 grams.

let's work through this step by step.

1. **Weight of a single packet of crisps**: Given that a packet of crisps weighs 32 grams to the nearest gram, this means the actual weight could be anywhere from 31.5 grams to 32.5 grams. Since we're considering the least and greatest weights, we'll use these bounds.

  - Least weight: 32 grams - 0.5 grams = 31.5 grams

  - Greatest weight: 32 grams + 0.5 grams = 32.5 grams

2. **Weight of the multipack**: Since the multipack contains 10 packets, we'll multiply the least and greatest weights of a single packet by 10 to find the least and greatest weights of the multipack.

  - Least weight of the multipack: 31.5 grams/packet x 10 packets = 315 grams

  - Greatest weight of the multipack: 32.5 grams/packet x 10 packets = 325 grams

So, the least weight of the multipack is 315 grams, and the greatest weight is 325 grams.

Answer:

[tex]\large\boxed{x=-1\ \vee\ x=1}[/tex]

Step-by-step explanation:

[tex]8x^2+4=12\qquad\text{subtract 4 from both sides}\\\\8x^2+4-4=12-4\\\\8x^2=8\qquad\text{divide both sides by 8}\\\\\dfrac{8x^2}{8}=\dfrac{8}{8}\\\\x^2=1\to x=\pm\sqrt1\\\\x=-1\ \vee\ x=1[/tex]

Answer:

444

Step-by-step explanation:

Answer:

x = 75

Marta's jump rope is 75 inches long

Step-by-step explanation:

Hello!! This is how you solve it:

x + ( x - 10 x 3 ) = 120

2x - 10 x 3 = 120

2x - 30 = 120

+ 30. + 30

2x = 150

--- ------

2. 2

x = 75

Final answer:

Marta's jump rope is 87.5 inches long. This was determined by setting up an equation based on the information that Marta's rope is 10 inches shorter than three times Dilbert's rope length, and together they measure 120 inches.

Explanation:

The question involves finding the length of Marta's jump rope when it is known to be 10 inches shorter than three times the length of Dilbert's rope, and when both ropes laid end-to-end measure 120 inches long. Let's denote the length of Dilbert's jump rope as D inches. Therefore, the length of Marta's jump rope can be expressed as 3D - 10 inches. Since the combined length of both ropes is 120 inches, we can write the equation: D + (3D - 10) = 120.

Combining like terms, we get 4D - 10 = 120. Adding 10 to both sides gives 4D = 130, and dividing both sides by 4 yields D = 32.5 inches. Thus, Dilbert's rope is 32.5 inches long, and Marta's rope, being 3(32.5) - 10, calculates to 87.5 inches long.

1 = C      2 = I     3 = B  have a good day

Answer:

It has no solution

Step-by-step explanation:

I just did the test and got this right (as a matter of fact, I got 100% ^^)

It has no solution because no matter how much you multiply the two fractions to the left, it will always equal to 1/2, and 2/4, no matter how many times you multiply it, will always equal to 1/2 as well. Therefore, since those two cancel out, and the leftover numbers in the equation aren't the same, there is no possible solution for this equation.  

Hope this helps you mate

Battery is down currently = 2/5

Battery drains at the rate of 1/9 every hour.

Remaining battery life of Vera = 1 -2/5 = 3/5

Let y we the number of hours battery will last.

So, 1/9 y = 3/5

y = 27/5

y = 5 + 2/5 hours

y = 5 hrs and 24 mins

So battery will last another 5 hrs and 24 mins.

hope this helps:)

Answer:

-2324522934

Step-by-step explanation:

These are the terms of a geometric sequence with n th term

[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]

where a is the first term and r the common ratio

r = [tex]\frac{-6}{-2}[/tex] = 3 and a = - 2, hence

[tex]a_{20}[/tex] = - 2 × [tex]3^{19}[/tex] = - 2324522934

Final answer:

The 20th term of the geometric sequence provided is calculated using the formula for the nth term of a geometric series. The term is found to be -2 multiplied by 3 to the power of 19, which equals -2,324,522,934.

Explanation:

The sequence provided is a geometric sequence where each term is multiplied by 3 to get the next term (-2, -6, -18, -54, -162...). To find the 20th term of a geometric sequence, we use the formula: an = a1  imes r(n-1), where an is the nth term, a1 is the first term, r is the common ratio, and n is the term number. In this case, a1 is -2, r is 3, and n is 20. Therefore, the 20th term is calculated as follows:

a20 = (-2) times 3(20-1) = -2 times 319

Using a calculator, we can find that 319 equals 1,162,261,467. Therefore, the 20th term of the sequence is -2  imes 1,162,261,467 = -2,324,522,934

Answer:

Isn't this just 1?

Step-by-step explanation:

5/7 + 2/7 = 7/7 = 1

Hello There!

We are going to be finding the sum of 5/7 and 2/7

STEP 1 We already have common denominators so now, it's just about adding what we already have.

STEP 2 Add 5 and 2 together and you will get a sum of 7 and your denominator will be left alone.

STEP 3 We will get a answer of 7/7 which is the same thing as 1.

Your Answer Is 1

Use the FOIL method.

3a * 2a + 3a * 4b + b * 2a + b * 4b

Combine like terms.

6a + 12ab + 2ab + 4b^2

6a^2 + 14ab + 4b^2

Answer

[tex]6a^2 + 14ab + 4b^2[/tex]

Answer:

z = 24°

Step-by-step explanation:

The 3 angles 48, x and x form a straight angle and sum to 180°, thus

x + x + 48 = 180

2x + 48 = 180 ( subtract 48 from both sides )

2x = 132 ( divide both sides by 2 )

x = 66

The 3 angles in a triangle sum to 180°

sum the 2 known angles and subtract from 180

z = 180° - (66 + 90)° = 180° - 156° = 24°

Answer:

z=24

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

(1/4)*x-(1/8) = (1/2)*x+7/8

First rearrange the numbers

(1/4)*x-((1/2)*x)-(1/8)-(7/8)

1/4*x ((-1/2)*x)-(1/8)-(7/8)

-1/4*x-1 = 0 + 1

-1/4*x = 1  -1/4

x = 1/(-1/4)

x = -4

x = -4

Answer:x + 10

Step-by-step explanation:

Answer:

J=x+10

Step-by-step explanation:

We know the equation is about Jenna's money. We can use J to represent Jenna and X to represent Alyssa's Dollars.

We know that J has 10 more than A. We can say J=X+10