3x+5x=8 [tex]3x+5x=8[/tex]

Answer:

a. P= 5000( 1.016)^x

b. $ 6344.18

Step-by-step explanation:

The equation for finding the compound interest annually is

P = P_1 ( 1 +r)^t

Here

P = the amount after the interest has been added or the new balance

P_1= the principal amount

r= rate at which interest is charged

t= time in years

So we have

P = the new balance

P_1= the principal amount= $ 5000

r= rate at which interest is charged= 1.6 %

t= time in years= x

Putting the values in the above equation

P = P_1 ( 1 +r)^t

P = 5000 ( 1+ 1.6/100) ^x

P= 5000( 1.016)^x

b) When t= 15

Again

Putting the values in the above equation

P = P_1 ( 1 +r)^t

P = 5000 ( 1+ 1.6/100)^15

P = 5000( 1.26883637) = 6344.18185= $ 6344.18

Answer:

Copy's area is 16 times bigger then triangle area.

Step-by-step explanation:

Given:

Area of copy = 72 unit²

Find:

How bigger copy compared to triangle

Computation:

Area of triangle = [1/2][base][height]

Area of triangle = [1/2][3][3]

Area of triangle = 4.5 unit²

So.

Area of copy / Area of triangle

72 / 4.5

16

So,

Copy's area is 16 times bigger then triangle area.

Answer:

The area is 10 cm².

Step-by-step explanation:

The area of a triangle is 1/2 * bh where b = base and h = height. We know that b = 4 and h = 5 so the area is 1/2 * (4 * 5) = 1/2 * 20 = 10 cm².

Answer:

12 friends

Step-by-step explanation:

If we have 3 pizzas, each cut into slices of [tex]\frac{1}{4}[/tex], then we have a total of [tex]3 \div \frac{1}{4} = 3\cdot\frac{4}{1} = 12[/tex] slices.

This means that 12 friends can share the 3 pizzas.

Hope this helped!

Answer:

12 people

Step-by-step explanation:

If everyone is getting 1/4 of the pizza then that means there are 4 slices in each pizza

Answer:

  -2 and -18

Step-by-step explanation:

It is useful to consider the factors of 36:

  36 = (-1)(-36) = (-2)(-18) = (-3)(-12) = (-4)(-9) = (-6)(-6)

The sums of these factor pairs are -37, -20, -15, -13, -12.

The factor pair of interest is -2 and -18.

Answer:

11+2x

Step-by-step explanation:

Answer:

2x + 11

Step-by-step explanation:

"twice a number x": Multiply the variable x with 2 ⇒ 2x

"11 more than...": Add 11 ⇒ + 11

Combine the two terms:

2x + 11 is your answer.

~

Answer:

10

Step-by-step explanation:

Answer:

10 shoes

Step-by-step explanation:

Step 1: State what is known

Giles has 10 socks for every 5 pairs of shoes

He has 20 socks

Step 2: Set up the ratio

Let 'x' represent how much shoes Giles has

10 socks : 5 shoes

20 socks : x shoes

Step 3: Convert ratio into fraction

[tex]\frac{Socks}{Shoes}[/tex]

10 socks : 5 shoes = [tex]\frac{10}{5}[/tex]

20 socks : x shoes = [tex]\frac{20}{x}[/tex]

Step 4: Set ratio equal to each other and solve

[tex]\frac{10}{5}=\frac{20}{x}\\ 10x = 100\\\frac{10x}{10}=\frac{100}{10}\\x = 10[/tex]

Therefore Giles has 10 shoes when he has 20 socks

Answer:

y = 4

Step-by-step explanation:

Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation.

-5 + 3y + -2y = -1 + 2y + -2y

Combine like terms: 3y + -2y = 1y

-5 + 1y = -1 + 2y + -2y

Combine like terms: 2y + -2y = 0

-5 + 1y = -1 + 0

-5 + 1y = -1

Add '5' to each side of the equation.

-5 + 5 + 1y = -1 + 5

Combine like terms: -5 + 5 = 0

0 + 1y = -1 + 5

1y = -1 + 5

Combine like terms: -1 + 5 = 4

1y = 4

Divide each side by '1'.

y = 4

Simplifying

y = 4

Answer:

B=20m

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

The area of a triangle is calculated by multiplying height to the base and that divided by two

b × h ÷ 2 = 120

b × h = 240

b × 12 = 240

b = 20

[tex]\boxed{c = -4}[/tex]

First, we will use the distributive property (order of operations) to simplify the equation:

(4)(5) + (4)(−8(4c−3)) = (12)(1) + (12)(−13c)+ (−8) =

20 + (−128c) + 96 = 12 + (−156c)+ (−8)

Now, we will combine like terms to simplify the equation:

(−128c) + (20 + 96) = (−156c) + (12+ (−8) =

−128c + 116 = −156c + 4

Now we will add 156 to both sides, using inverse operations.

−128c + 116 + 156c = −156c + 4 + 156c =

28c + 116 = 4

Now we will subtract 116 from both sides:

28c + 116 − 116 = 4 − 116 =

28c = −112

Lastly, we will divide both sides by 28:

28c/28 = c

-112/28 = -4

The equation now looks like:

c = -4

Therefore, your answer is -4.

Hi there! Hopefully this helps!

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[tex]4(5-8(4c-3))=12(1-13c)-8[/tex]

Use the distributive property to multiply −8 by 4c − 3.

[tex]4(5-32c+24)=12(1-13c)-8[/tex]

Add 5 and 24 to get 29.

[tex]4(29 - 32c)=12(1-13c)-8[/tex]

Use the distributive property to multiply 4 by 29 − 32c.

[tex]116-128c=12(1-13c)-8[/tex]

Use the distributive property to multiply 12 by 1 − 13c.

[tex]116-128c=12-156c-8[/tex]

Subtract 8 from 12 to get 4.

[tex]116-128c=4-156c[/tex]

Add 156c to both sides.

[tex]116 - 128c+156c=4[/tex]

Combine −128c and 156c to get 28c.

[tex]116+28c=4[/tex]

Subtract 116 from both sides.

[tex]28c=4-116[/tex]

Subtract 116 from 4 to get −112.

[tex]28c=-112[/tex]

Divide both sides by 28.

[tex]c=\frac{-112}{28}[/tex]

Answer:

4a - 15

100% representate the original cost of tikets,

100% = 100/100 = 1

12% discont:

12% = 12/100 = 0.12

1 - 0.12 = 0.88

0.88

then the expressión is:

4*0,88d

=3.52 d

d = original cost of each ticket

Complete question :

At an ice carving competition, each carver starts with a block of ice with the dimensions shown. The block is wrapped in a special reflective material to keep it from melting before the competition starts. The side lengths of the block are 1.1, 0.8, 1.3. How much reflective material is needed to cover the block completely, without any overlaps?

Answer:

6.7 unit^2

Step-by-step explanation:

Taking the dimension of the ice block as :

1.1 by 0.8 by 1.3

The total reflective material which will used to cover the ice block must have the same surface area as the ice block.

Shape of ice block = rectangular prism.

Taking the surface area if a rectangular prism :

Using the relation :

2(lw * lh * wh)

Where l = Length = 1.1

Width w = 0.8

Height h = 1.3

Therefore,

2[(1.1*0.8) + (1.1*1.3) + (0.8*1.3)]

2[(0.88) + (1.43) + (1.04)]

2(3.35)

= 6.7 unit^2

Reflective material should be 6.7 unit^2

The total reflective material required is 6.7 square units

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called as the surface area.

Given that:-

The total reflective material which will be used to cover the ice block must have the same surface area as the ice block.

The shape of the ice block = is a rectangular prism.

Taking the surface area of a rectangular prism by using the relation :

SA = 2(  lw x   lh  x  wh  )

Where l = Length = 1.1

Width w = 0.8

Height h = 1.3

Therefore,

SA = 2 [(1.1 x 0.8) + (1.1  x 1.3) + (0.8  x  1.3)]

SA =  2  [  (0.88) + ( 1.43 ) + ( 1.04 )  ]

SA  =  2 ( 3.35 )

SA  = 6.7 square units

Therefore the Reflective material should be 6.7 square units

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Answer:

8

Step-by-step explanation:

   (-11x/2 + 3) -2(-11x/4 -5/2)

=  -11x/2 + 3 -(2*-11x/4) -(2*-5/2)

=  -11x/2 + 3 -(-22x/4) -(-5)

=  -11x/2 + 3 +22x/4 + 5

=  -22x/4 + 22x/4 + 3 + 5

= 0 + 8

= 8

The value of the simplified expression is 8.

We have,

(-11/2 x + 3) - 2 (-11/4 x - 5/2)

To simplify the expression ((-11/2)x + 3) - 2((-11/4)x - 5/2), distribute the -2 to each term within the second set of parentheses and then combine like terms.

((-11/2)x + 3) - 2((-11/4)x - 5/2)

= (-11/2)x + 3 - 2 x (-11/4)x - 2 x (-5/2)

= (-11/2)x + 3 + (11/2)x + 5

= (-11/2)x + (11/2)x + 3 + 5

Combine like terms.

= 3 + 5

= 8

Therefore,

The simplified expression is 8.

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Answer:

Domain: [0, 12.75]

Range: [0, 590.9]

Step-by-step explanation:

Your function is missing variables.

I think you mean

h(t) = -4.922t^2 + 17.69t + 575

as the function.

We can find the time the object hits the ground. At that time, h(t) = 0, so we set the equation equal to zero and solve for t.

-4.922t^2 + 17.69t + 575 = 0

[tex] t = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] t = \dfrac{-17.69 \pm \sqrt{(-17.69)^2 - 4(-4.922)(575)}}{2(-4.922)} [/tex]

[tex] t = \dfrac{-17.69 \pm \sqrt{11633.54}}{-9.844} [/tex]

t = -9.16 s or t = 12.75 s

According to the parabola that is the path of the falling object, the object is at zero height at t = -9.16 s and t = 12.75 s. Since the object starts moving at time t = 0, the domain has to be limited to t = 0 till t = 12.75 s.

Domain: [0, 12.75]

The range is the height of the object. Maximum height occurs at the time that is the midpoint of the two times the parabola shows h(t) = 0.

tmax = (-9.16 + 12.75)/2 = 1.797

Now we use the time of maximum height to find the maximum height.

h(t) = -4.922t^2 + 17.69t + 575

h(tmax) = -4.922(1.797)^2 + 17.69(1.797) + 575

h(tmax) = 590.9

The maximum height is 590.9 m.

Range: [0, 590.9]

Answer:

(Choice C) C Replace one equation with a multiple of itself

Step-by-step explanation:

Since system A has the equations

-3x + 12y = 15 and 7x - 10y = -2 and,

system B has the equations

-x + 4y = 5 and 7x - 10 y = -2.

To get system B from system A, we notice that equation -x + 4y = 5 is a multiple of -3x + 12y = 15 ⇒ 3(-x + 4y = 5) = (-3x + 12y = 15).

So, (-x + 4y = 5) = (1/3) × (-3x + 12y = 15)

So, we replace the first equation in system B by 1/3 the first equation in system A to obtain the first equation in system B.

So, choice C is the answer.

We replace one equation with a multiple of itself.

Answer:

it is c and yes

Step-by-step explanation:

I got it in khan academy

Answer:

-5/4

Step-by-step explanation:

Slope is rise over run which means that the -5 will apply to your y values and the 4 will apply to your x values. This slope would have a point move down 5 units and to the right 4 units to get the location of the next point when going left to right. Because the slope contains a negative, the slope will be angled downward left to right. The negative only applies to the 5.

Hello, I hope you are having a splendid day. :)

The slope of this line is -5/4.

This equation is written in slope-intercept form, which looks like this:

y=mx+b

Where

m is the slope and b is the y-intercept.

So the slope is the number before x (in y=mx+b form).

The number before x is -5/4.

Therefore, -5/4 is the slope. Hope it helps. Ask me if you have any queries.

~An emotional teen who helps others with joy

Good luck.

Answer:

Jason is incorrect.

The caterpillar's rate is 2 ft/min

Step-by-step explanation:

The rate of motion is defined as the quotient between the distance covered (in our case 16 feet) divided by the time it took to cover that distance (in our case 8 minutes)

Then, the rate is:

[tex]rate=\frac{distance}{time} = \frac{16\,\,ft}{8\,\,min} = 2\,\frac{ft}{min}[/tex]

Answer:

You can learn math by

Step-by-step explanation:

practicing and remember not to overwork yourself

Step-by-step explanation:

(g•f(x))

Where ever you see x in g(x), you put f(x)

2(x-7)+1

[expanding]

2x-14+1

2x-13

I'm not 100% sure

I think your teacher meant to say Reflexive property instead of reflection. The reflexive property is the idea that any segment is the same length as itself. It seems like a trivial idea, but it's useful to be able to pull triangles apart like in this problem here.

Note: when naming a segment, the order of the endpoints listed doesn't matter. So that's why EU is the same as UE.

Answer:

1/2x +2

Step-by-step explanation:

Let's say there are 2 teams : A & B

A leads with x points, while B score 2 points less than half of B's score (x)

B = 1/2 of B score - 2

The difference of A - B = x - (1/2x - 2) = x - 1/2x + 2 = 1/2x + 2

The required difference in score is 1/2x + 2.

Given that,

In a basketball game, one team's score is two points less than half the other team's score, which is x. What is the difference in the score is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Let the score of the second team be x,
One team's score is two points less than half the other team's score
= 1/2x - 2
Difference of the score = x - (1/2x - 2)
                                       = x -1/2x +2
                                       = 1/2x + 2

Thus, the required difference in score is 1/2x + 2.

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First, reorder the numbers so they go from least to greatest. It should look like this:

-11, -9, -6, 0, 2, 18, x, 20, 36, 37, 46, 47, 51.

Mean: 19.25

The mean is the average. To find it, add all numbers together and divide by how many numbers there are.

Median: 19

The median is the center number in the ordered line of numbers. I added a bolded variable (x), so you can see where it is. Because it's between two numbers, add those numbers and divide by 2.

Mode: N/A

There's not a mode. A mode is a repeating number in the sequence.

Range: 62

Range is the difference between the largest and smallest number.

[tex]51 - ( - 11) = 62[/tex]

47.)

The range is larger than the highest temperature because the temperature values are both positive and negative. Due to this, the smallest number (-11) becomes positive as the negative sign is distributed to it and adds to the largest number (51).

48.)

Again, mean is the average. Add all values together and divide by the number of values there are.

[tex] = \frac{( - 11) + ( - 9) + ( - 6) + 0 + 2 + 18 + 20 + 36 + 37 + 46 + 47 + 51}{12} [/tex]

[tex] = \frac{231}{12} [/tex]

[tex] = 19.25[/tex]

Answer:

5/4

Step-by-step explanation:

-60/-48

factor the expression

(-15)(4)/(-12)(4)

cancel out 4

-15/-12

divide by -3

=5/4

Answer:

option 4

Step-by-step explanation:

so first you would simplify to x>-6 and since there is no line under the greater then it would be and open circle and it is shading to the right because of the greater than symbol and if would start of -6 so option 4 is the correct answer

Answer:

Draw an open circle on-6 and shade to the right.

Step-by-step explanation:

Answer:

The answer is 16

Step-by-step explanation:

I did the test

Answer:

Answer is 16

I just did the test its right i swear.

Answer:

First, we put a point on y-axis = 2

Next, we go 2 spaces down and 1 space right

Then draw a line attaching the two points

Answer:

we put a point on y-axis = 2

we go 2 spaces down and 1 space right

Then draw a line attaching the two points

Add every decimal, then divide by 14 (two weeks, 7 days, total of 14 values), and the closest you get is 0.42.

Answer:

-10 - 1 = x

Step-by-step explanation:

If you take -10 and subtract one, it makes the number go down lower because it's negative (example, 12 - 2 is -14)

Answer:

1 + 5x

Step-by-step explanation:

Like terms are terms with the same variable parts.

Let's look at each term:

3    it has no variable

5x    it has the variable x

-2    it has no variable

The terms 3 and -2 have no variables, so their variable parts are the same. They are like terms and can be combined. The term 5x has the variable part x. There is no other term with the same variable part as 5x, so 5x cannot be combined with anything.

3 + 5x - 2 =

= 3 - 2 + 5x

= 1 + 5x