Find the distance between the points given.
(0.5) and (-5, 0)

Answer:

ok so if he pays 465.98 and we want to find the price if we reduce it by 3.6 we can multiple it by

465.98*0.964=

449.20472

so now we round to two points to get

449.21

Answer:

a = 2

Step-by-step explanation:

Here, we want to get the value of a

From the remainder theorem, if we the divisor to zero and get a value for the variable, then substitute this value into the polynomial, the result we have is the remainder

So;

set x + 1 = 0 ; and x = -1

substitute this into the polynomial

(-1)^3 + 2(-1)^2 -5(a)(-1) -7

= -1 + 2 + 5a -7 = 5a -6

For the second;

set x -2 = 0; x = 2

Substitute in the second polynomial;

2^3 + a(2)^2 -12(2) + 6

= 8 + 4a -24 + 6 = 4a -10

So therefore;

2(5a-6) + 4a - 10 = 6

10a-12 + 4a -10 = 6

10a + 4a -22 = 6

14a = 6 + 22

14a = 28

a = 28/14

a = 2

Answer:

the sum of the remaining exterior angles is 174⁰

Step-by-step explanation:

Given;

the measure of two exterior angles of a decagon = 97° and 89°

The total sum of exterior angles of a polygon is 360⁰

let the sum of the remaining exterior angles = x

sum of the given exterior angles = 97⁰ + 89⁰ = 186⁰

x + 186⁰ = 360⁰

x = 360⁰ - 186⁰

x = 174⁰

Therefore, the sum of the remaining exterior angles is 174⁰

Answer:

D

Step-by-step explanation:

we'll use the complex number system to solve this exercice

the coordinates of the last triplet are : (1,2) , (2,4) and (4,8) The affixes are then

 [tex]1 + 2i = a \\2 + 4i= b = 2a \\4+8i = c = 2b = 4a[/tex]

for the points to be aligned the fraction [tex]\frac{c-a}{b-a}[/tex] should be a real number

[tex]\frac{c-a}{b-a} = \frac{4a-a}{2a-a} = \frac{3a}{a} = 3[/tex]

so the points are aligned

Answer:

D (1, 2), (2, 4), (4, 8)

Step-by-step explanation:

Hope this helps

Answer:

where's the diagram can you tell

Answer:

(2x-3)(2x+1)

Step-by-step explanation:

4x^2 - 4x - 3

we need two numbers that give 12 when multiplied and 4 when subtracted

the numbers are 6 and 2 because 6*2=12 and 6-4=4.

4x^2 - (6-2)x -3

4x^2 -6x +2x -3

take common

2x(2x -3)+1(2x-3)

take (2x-3) as common

(2x-3)(2x*1 + 1*1)

(2x-3)(2x+1)

Answer:

400%

Step-by-step explanation:

the question is asking what percent of 50 is 200

we can set up this proportion to find 'x' (the original price)

200/50 = x/100

cross-multiply to get:

50x = 20,000

x = 400%

Answer:

3,680 cubic feet

Step-by-step explanation:

The volume of a rectangular prism is:

length x width x height

Rooms are in the shape of a rectangular prism, so the figure we are gonna tind the volume of is a prism.

The volume of Mr. Tai’s living room is:

10 x 18 x 8 = 1,440 cubic feet

The volume of his family room is:

14 x 20 x 8 = 2,240 cubic feet

Add the volumes of both figures:

1,440 + 2,240 = 3,680

Hope this helps!

Answer:

x = 4.8

Step-by-step explanation:

2x + 3x + 3x + 2x + 5x = 15x

exterior angles always add up to 360 degrees

360 /5 = 72

72 / 15x = 4.8

x = 4.8

hope it helps!!

Step-by-step explanation:

the answer is in the image above

Answer:

(1+b)(a+4)

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

No, a reasonable estimate is around 7 * 6 = 42.

Round $6.99 to $7 and multiply by the 6 family members.

Answer:

x = 23.5

Step-by-step explanation:

For a trapezoid, the angles on the same side are supplementary. This simply mean they add up to 180 degrees

thus, we have it that;

(6x + 3) + (x + 12.5) = 180

6x + x + 3 + 12.5 = 180

7x + 15.5 = 180

7x = 180-15.5

7x = 164.5

x = 164.5/7

x = 23.5

Answer:

a=146°

Step-by-step explanation:

a+34 =180 degree (being linear pair

a=180-34

a=146 degree

Note: A linear pair is a pair of adjacent angles formed when two lines intersect.

Answer:

24

Step-by-step explanation:

6 sides on die

2 sides on each coin

6 x 2 x 2 = 24

Answer:

send one

the second one boi

Step-by-step explanation:

pls help

Answer:

1.82142857143 or 1 23/28

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

51/28 or 1 23/28

Step-by-step explanation:

The LCD here is 9.  Rewrite 5 2/3 first as 17/3, and then multiply numerator and denominator both by 3, obtaining the equivalent 51/9.

Then divide 51/9 by 28/9:  Equivalently, invert the divisor (28/9) and multiply:

(51/9)(9/28) = 51/28 or 1 23/28

5 2/3 divided by 3 1/9 is 1 23/28.

Answer:

x = number of packets of strawberry wafers = 4 packets

y = number of packets of chocolate wafers = 18 packets

Step-by-step explanation:

Devon and his friends bought strawberry wafers for $3 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $30 to buy a total of 22 packets of wafers of the two varieties.

Part A: Write a system of equations that can be solved to find the number of packets of strawberry wafers and the number of packets of chocolate wafers that Devon and his friends bought at the carnival. Define the variables used in the equations. (5 points)

Part B: How many packets of chocolate wafers and strawberry wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)

A.

Let

x = number of packets of strawberry wafers

y = number of packets of chocolate wafers

x + y = 22

3x + y = 30

B. Solve the equation in A using elimination method

x + y = 22 (1)

3x + y = 30 (2)

subtract (1) from (2) to eliminate y

3x - x = 30 - 22

2x = 8

x = 8/2

x = 4

Substitute x = 4 into (1) to solve for y

x + y = 22 (1)

4 + y = 22

y = 22 - 4

y = 18

x = number of packets of strawberry wafers = 4 packets

y = number of packets of chocolate wafers = 18 packets

Note: Let us consider, we need to find the gradient of line L.

Given:

The given equation of a line is:

[tex]y=7-4x[/tex]

The line L passes through the points with coordinates (- 3, 1) and (2, - 2).

To find:

The gradient of the given line and the gradient of line L.

Solution:

Slope intercept form of a line is:

[tex]y=mx+b[/tex]                ...(i)

We have,

[tex]y=7-4x[/tex]                   ...(ii)

On comparing (i) and (ii), we get

[tex]m=-4[/tex]

Therefore, the gradient of the given line is -4.

The line L passes through the points with coordinates (- 3, 1) and (2, - 2). So, the gradient of line L is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{-2-1}{2-(-3)}[/tex]

[tex]m=\dfrac{-3}{2+3}[/tex]

[tex]m=\dfrac{-3}{5}[/tex]

Therefore, the gradient of the line L is [tex]\dfrac{-3}{5}[/tex].

Answer:

6+c

Step-by-step explanation:

sum means to add

6+c

Answer:

Pretty sure its 30

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

Use the equation

[tex]A(t)=P(1+r)^t[/tex] and fill it in using the info we were given:

[tex]5263.73=4000(1+r)^7[/tex] Begin by dividing both sides by 4000 to get

[tex]1.3159325=(1+r)^7[/tex] and take the 7th root of both sides to "undo" that 7th power on the right. Doing that gives us

1.04 = 1 + r so

.04 = r and the interest rate is 4%

Answer:

Well we add together 20+15 which is 35 which is 5 over the 30 in the class so that means out of the 30 students 5 of them like both games

Hope This Helps

Step-by-step explanation:

In a class 30 students

20 like to play cricket

15like to play volleyball

Tumhara questions galat hai

Answer:

ok from this we know the angle of this triange are

90+47+x=180

x=43

with these if we use the proper formula we know that the two other sides are

about 21 and 23

since the top side is longer we know that X=23

Answer:

y = 0.75x + 12

Step-by-step explanation:

The estimated total cost, y, of a child's toy is partially based on the number 1 point of batteries used, x. The cost of one battery is $0.75. The toy itself costs $12. Which equation represents the situation?

y = 12x + 0.75

y = 0.75x + 12

y = 12x − (775

y = 0.75x − 12

y = total cost of a child's toy

Cost of each battery = $0.75

Number of batteries = x

Cost of the toy = $12

Therefore,

total cost of a child's toy = Cost of the toy + Cost of each battery * Number of batteries

y = 12 + 0.75 * x

y = 12 + 0.75x

y = 0.75x + 12

Answer:

You're answer has be written as an inequality, therefore it would be;

=> p ≥ -17

Hope this helps!

Answer:

p is less than -17

Step-by-step explanation:

The inequality that can be used for this is p+5 <17. The reason is because you have to read the question very carefully. They try to trick you. I would underline five more than a number p is less than 17. This helps you because now when you think of 5 more than you think of addition. Which would be p+5. Then, this number is less than 17. So it would be p+5<17. For the solution, you would subtract 5 from both sides. Why? That way it frees up and you are left with p. Since that is all you want. Then, once you do that your solution should be p<12. Since that is what you will be left with.

Answer:

Volume= l x w x h

Volume= 19 x 1.7 x 6

=193.8

1.7 feet to inches, 20.4 inches * 19 inches * 6 inches = 2,325.6cubic in, or 16.15 cubic feet

Answer:

I'm pretty sure it's 30 but I'm not 100% sure.

Answer:

30%

Step-by-step explanation:

70+30=100!