Pls answer the follwing

Based on the fact that Marcus has deposited his paycheck in the amount of $625.84, his new balance will be $1,266.15.

A pay check is known to be a cheque that is given to a person for a job done.

Note that Marcus Beginning balance: $640.31

He then Deposit of : $625.84

When you add both together,

His New Balance will be: $1,266.15

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Answer:

$1,266.15.

Step-by-step explanation:

edge

Answer:

the answer I believe will be 25.16

last option is the answer to the question

Answer:

Total surface area=

304+9pi

~= 332.3

Step-by-step explanation:

Surface area is the areas of all the parts/sides/surfaces of the shape all added together.

There is a BOTTOM, 4 SIDES, a flat TOP, and a DOME shape.

The BOTTOM and SIDES are rectangles, so you can get the areas by multiplying length × width (or b•h)

BOTTOM: 8×10 =80

SIDES: There are 4×8 sides. 4×8 = 32. There are two of them 2×32=64.

There are 4×10 sides. 4×10 = 40. There are two of them, 2×40 = 80

For the flat TOP, it is also 8×10=80, but it has a circle cut out of it. Or, well, the circle that's under the dome doesn't count bc of the dome. So we'll take it away.

CIRCLE (under the dome):

Area of a circle is A=pi•r^2= pi•3^2

A = 9pi

So the flat TOP is:

80 - 9pi ~= 51.7

The DOME is a hemisphere (a half ball shape). Surface Area of a sphere is 4pi•r^2 We find that, then take half.

DOME =

4pi•3^2•(1/2)

= 4pi•9•(1/2)

= 18pi

~= 56.5

Now add up all the pieces:

80+64+80+80-9pi+18pi

= 304+9pi

~= 304 +28.3

= 332.3

7x - 35 < 2(x -5)

Use distributive property on the right side:

7x -35 < 2x - 10

Add 35 to both sides:

7x < 2x + 25

Subtract 2x from both sides

5x < 25

Divide both sides by 5

X < 5

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

Solve the inequality 7x-35<2(x-5)

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

First, use the distributive property on the right-hand side:-

     7x-35<2x-10

Remember, we need to ensure that variables are on one side of the inequality and numbers are on the other.

Since we have variables on both sides, we need to move all of them to the other side (usually the left-hand side), using the opposite operation.

Therefore

7x-35-2x<-10

Combine like terms:-

5x-35<-10

Now add 35 on both sides:-

5x<-10+35

On simplification,

5x<25

Divide by 5 on both sides:-

x<5

So the values of x less than 5 will satisfy this inequality.

[tex]\rule{300}{1}[/tex]

Let p = the original price

p - .4p = 12

.96p = 12

p = 12.5

The original price was $12.50

12.5 - 12 = .5

The amount of the discount was $.50

If the dimension of the rectangular prism will be (4, 8, 16), (2, 8, 32), and (2, 4, 64). Then the surface area will be 448, 672, and 784 square units respectively.

A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.

You work for a cereal company that is looking to design some new boxes for their cereal.

The cereal is sold in the size of 512 cubic units.

You will be designing three rectangular prisms with unique dimensions.

The possible dimension of the rectangular prism will be

Volume = 512

Volume = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Then we have

{(4, 8, 16), (2, 8, 32), (2, 4, 64)}

Then the surface area will be

If the dimension is (4, 8, 16). Then the surface area will be

Surface area = 2(4x8 + 8x16 + 16x4)

Surface area = 448 square units

If the dimension is (2, 8, 32). Then the surface area will be

Surface area = 2(2x8 + 8x32 + 32x2)

Surface area = 672 square units

If the dimension is (2, 4, 64). Then the surface area will be

Surface area = 2(2x4 + 4x64 + 64x2)

Surface area = 784 square units

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Answer:

B

Step-by-step explanation:

Do the math

5x1 is 5

4x1 is 4

35÷7 is 5

28÷7 is 4

Hope this helps

Answer:

The second table.

Step-by-step explanation:

4 sweaters for every 5 T-shirts is a ratio of 4/5, which is equal to 0.8. That means that every ratio in the table should also be equal to 0.8 since they are all different versions of 4/5. In the second table, 4/5 = 0.8, 8/10 = 0.8, 28/35 = 0.8, and 32/40 = 0.8, so it is the second table.

Answer:

Answer:

A =24.7° ; B = 40.6° ; C =114.7°

Step-by-step explanation:

Cosine Law

a² = b²+c²-2bc cos A

b² = c²+a² -2ca cos B

Sum of three angles of a triangle is 180°.

a = 34 ; b= 53; c = 74

Substituting the given values in the cosine law, we have

34² = 53² + 74² - 2*53 *74 * cos A

7844 cos A = 2809 + 5476 - 1156 = 7129

cos A = 7129/7844 = 0.9088

A = cos⁻¹ (0.9088) = 24.6600° = 24.7°

53² = 74² + 34² - 2 (74)(34) cos B

5032 cos B = 5476 + 1156 - 2809 = 3823

cos B = 3823/5032 = 0.7597

B = cos⁻¹ (0.7597) = 40.5622° = 40.6°

Also, A + B + C = 180°

24.7 + 40.6 + C =180

C =180 -  65.3 = 114.7°

∴ A =24.7° ; B = 40.6° ; C =114.7°

Step-by-step explanation:

Im not sure if it is right. But hope it helps

Using the Empirical Rule, the correct statement regarding where 68% of the data falls within the mean is given by:

B. One standard deviation.

It states that, for a normally distributed random variable:

Hence option B is correct, as 68% of the data is within 1 standard deviation of the mean.

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The value of the product expression (x + 1)(x - 3) is x² - 2x - 3

From the complete question, the product expression is given as:

(x + 1)(x - 3)

Expand

x(x - 3) + 1(x - 3)

Further, expand

x² - 3x + x - 3

Evaluate the like terms

x² - 2x - 3

Hence, the value of the product expression (x + 1)(x - 3) is x² - 2x - 3

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Answer:

(4,-2)

Step-by-step explanation:

What is linear combination?

Linear combination is the process of adding two equations to eliminate a variable so that we are able to solve for the other variable.

Here we are given the two equations 9x + 4y = 28 and 2x + 4y = 0. We can use linear combination to cancel out the two 4y terms leaving us with only x variables in which we can solve for.

Adding the two equations. (subtracting the second equation from the first)  we really are subtracting the second equation from the first because if we were to add we would get 4y + 4y which wouldn't cancel out the terms therefore we would have to subtract the two equations to get 4y - 4y which cancels out the terms.

  9x + 4y = 28

- (2x + 4y = 0)

==> remove parenthesis and apply negative sign

  9x + 4y = 28

 -2x  - 4y = -0

----------------------

  7x     =    28

==> divide both sides by 7

    x = 4

Finding the y value:

The solution is written as (x,y) meaning we also need the value of y. To find it we can plug in the value of x into one of the equations and then we can solve for y.

2x + 4y = 0

==> plug in x = 4

2(4) + 4y =0

==> multiply 2 and 4

8 + 4y = 0

==> subtract 8 from both sides

4y = -8

==> divide both sides by 4

y = -2

so we have x = 4 and y = -2

the solution of the equation would be (4,-2)

Checking our work

If our answer is correct we can plug in the values of x and y into both equations and the outcome will be valid ( or correct )

Equation 1 : 9x + 4y = 28

==> plug in x = 4 and y = -2

9(4) + 4(-2) = 28

==> multiply 9 and 4

36 + 4(-2) = 28

==> multiply 4 and -2

36 - 8 = 28

==> subtract 8 from 36

28 = 28

Equation 2 : 2x + 4y = 0

==> plug in x = 4 and y = -2

2(4) + 4(-2) = 0

==> multiply 2 and 4

8 + 4(-2) = 0

==> multiply 4 and -2

8 - 8 = 0

==. Subtract 8 from 8

0 = 0

Both are correct so our solution is correct!

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Answer:

If x = 5, then 3x + 4x - 15 equals 20

Step-by-step explanation:

Here, we are given the value of x, which is 5.

1. Substitute 5 as the value of x in the equation:

3x + 4x - 15 = ?

3(5) + 4(5) - 15 = ?

15 + 20 - 15 = ?

2. Simplify:

15 + 20 - 15 = ?

35 - 15 = ?

20 = ?

3. Check your work:

3x + 4x - 15 = 20

3(5) + 4(5) - 15 = 20

15 + 20 - 15 = 20

20 = 20 ✅

Therefore, if x = 5, then 3x + 4x - 15 equals 20

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Answer:

0/10 is the correct answer

Answer:

Please give me brainly!! I would really appreciate it. Thank you! <3

d=10

Step-by-step explanation:

►Use The Distance Formula d=√(x₂-x₁)²+(y₂-y₁)²◄

1. Fill In The Given Values (-4, 4) and (6,4)

d=√(x₂-x₁)²+(y₂-y₁)²

d=√(6--4)²+(4-4)²

2. Simplify

d=√(6--4)²+(4-4)²

d=√10²+0²

d=√100+0

d=√100

d=10

Answer:

one solution: -12/5

Step-by-step explanation:

Solution

To find how many solutions the equation has, we have to solve for the equation first!

Step 1: Combine like terms.

Step 2: Subtract 3x from both sides.

Step 3: Add 5 to both sides.

Step 4: Divide both sides by -5.

Therefore, the answer is one solution

The distance between Reeta and the school when the cyclists arrive the home for this case is found to be 2 km

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example, if it is asked to increase some items by 4, then you can add 4 in that item to increase it by 4. If something is, for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert descriptions to mathematical expressions.

How to find the speed of an object?

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it travelled to the time it took to travel that distance.

If the object travelled D distance in T units of time, then that object's speed is

[tex]Speed = \dfrac{D}{T}[/tex]

Given that:

Suppose at time 0 hours, all three people departed from school (on that Monday).

After 't' hours, suppose the cycle gets punctured.

Then, as the cycle was going by 20 km/hour speed, so in 't' hours, it must have covered d kilometres (suppose),

then we get:

[tex]S =\dfrac{D}{T}[/tex]

[tex]20=\dfrac{d}{t}[/tex]

d = 20t

This distance is measured from school. But we know that this distance is 4 km, so we get:

20t = 4

t  =  1 / 4

The remaining 1 km (as the home is 5 km away from school and 4 km is already travelled) is walked by Cyclists. And walking speed is 5 km/hour, so let they take T hours to travel that 1 km walking, then we get:

5 =  1 / T

t = 0.2 hours

So, the total time cyclists took to reach home from school is: 0.2+0.2=0.4 hours

Reeta is walking that whole 5 km.

The time the cyclist reached home, Reeta had walked for 0.4 hours as they had started at the same time, and it took cyclists 0.4 hours to reach home.

Thus, we have:

Time is taken 0.4 hours, speed of Reeta = walking speed= 5 km/hour, then we get:

D = S x T

D = 5 x 0.4 = 2 km

So Reeta was 2 km away from school when cyclists reached home on that Monday.

Thus, the distance between Reeta and the school when the cyclists arrive at the home for this case is found to be 2 km

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Based on the percentage of the time that the Porches and the Ferraris work, the probability that at least half of both work on a given day is 0.8172.

The Porches work 80% of the time and the Ferraris work 60% of the time.

Using the binomial distribution, the probability that half the Porches work is:

= (⁴ₓ) (0.80)ˣ (1 - 80)⁽⁴ ⁻ ˣ⁾

= 0.9728

The probability that half the Ferraris work is:

= (²ₓ) (0.60)ˣ (1 - 60)⁽² ⁻ ˣ⁾

= 0.84

The probability that only half of both will work is:

= 0.9728 x 0.84

= 0.8172

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Answer:

f(x) = (x+5)^2-1

Step-by-step explanation:

a. The maximum value of the function is 4.

b. The range of x-values for which the function is positive is approximately -1.5 < x < 0.5.

c. The roots of the equation are approximately x = -1.5 and x = 0.5.

To draw the graph of the function y = 3.5 + 4x - 4[tex]x^2[/tex], we can plot the points for different values of x within the range of -3 to +3. Here is the graph:

```      |

  4  |                 ++++++++++

     |             ++++

  2  |          +++

     |      +++

  0  |  +++

     |  

 -2  |      +++

     |          +++

 -4  |              ++++

     |                 ++++++++++

     -----------------------------

    -3    -2    -1     0     1     2     3

```From the graph, we can determine the following:

a. The maximum value of the function y = 3.5 + 4x - 4[tex]x^2[/tex] occurs at the vertex of the parabola. In this case, the vertex is at x = -b/2a, where a = -4 and b = 4. Thus, x = -4/(2*(-4)) = 0.5.

Plugging this value into the equation, we find y = 3.5 + 4(0.5) - 4(0.5)^2 = 4.

b. To find the range of values of x for which 3.5 + 4x - 4[tex]x^2[/tex] > 0, we need to identify the x-values where the function is positive (above the x-axis). From the graph, we see that the function is positive for x values between approximately -1.5 and 0.5.

c. To find the roots of the equation 3.5 + 4x - 4[tex]x^2[/tex] = 0, we need to find the x-values where the function intersects the x-axis. From the graph, we can see that the roots occur at approximately x = -1.5 and x = 0.5.

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Answer:

x = 18

Step-by-step explanation:

The angles (x)° and (4x)° are complementary, meaning they form a 90° angle.

Combine like terms :

Divide both sides by 5 :

Answer:

120 failures

Step-by-step explanation:

1 out of 25    or    1/25 th of 3000

1/25 * 3000 = 120

The variance of the data set is 0.43.

The variance is used to measure the spread or the dispersion of a dataset using all the data points in the dataset. The variance is the sum of the squared difference between the data point and the mean.

The first step is to determine the mean: (0.40 + 0.72 +  1.15 + 2.14) / 4

= 4.41 / 4= 1.10

The second step is to subtract the mean from each of the data point and square the difference:

Add the sum of the squared differences and divide by 4 : 1.7125/4 = 0.43

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Answer:

it is triangle DEF, base on my own understanding

Step-by-step explanation:

all parallelograms have opposite sides that are parallel.

that is the only true statement.

Answer:

0.625

Step-by-step explanation:

You must first calculcate what is in between the parentheses. Firstly, you add 3/8 + 3/4 (as shown in the beginning) to get 1.125. Second, you add 1/3 plus 1/6 (shown in the second part of the equation) to get 0.5. Lastly, you're left with 0.625 after subtracting 0.5 from 1.125.

Quarts they pick altogether 173/24 quarts.

A unit of volume or capacity in the US Customary System, used in liquid measure, equal to 2 pints or 32 ounces (0.946 liter).

Jennifer picked= 1 5/6= 11/6 quarts

Lila picked= 7/4 quarts

Elliott picked =3/2 quarts

Wendie picked= 17/8 quarts

Total quarts they picked together is= 11/6+7/4+3/2+17/8

                                                           = 44+42+36+51/24

                                                           = 173/24 quarts

Hence, they picked 173/24 quarts together.

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Answer:

y12111097

Step-by-step explanation:

because I know the answer

Answer:

3/8 cup of oil

Step-by-step explanation:

divide 1/4 by 2 to get how many are needed for 1/3 cup of water, and times 3 to find one cup of water.

Answer:

288

Step-by-step explanation:

1/2*B*H

1/2*(6*12)*8

1/2*72*8

1/2*576

288

Answer:

[tex]V=288\ cm^2[/tex]

Step-by-step explanation:

Step 1:  Determine the volume

[tex]V = \frac{b*h}{2}[/tex]

[tex]V = \frac{(6\ cm * 12\ cm) * (8\ cm)}{2}[/tex]

[tex]V = \frac{72\ cm*8\ cm}{2}[/tex]

[tex]V=\frac{576\ cm^2}{2}[/tex]

[tex]V=288\ cm^2[/tex]

Answer:  [tex]V=288\ cm^2[/tex]

Answer:

here we go

Step-by-step explanation:

Stirring a cup of hot tea causes a metal spoon to get warm. Which statement best explains why the spoon gets warm? Heat energy transfers from the hot tea to the spoon.

Answer:

Step-by-step explanation: