7/5 x -3/12 + 7/6 + 7/5 x 1/4

Answer:

B

Step-by-step explanation:

Set up the equation

z = [tex]\frac{kx^2}{y}[/tex]

Plug in the numbers to find the value of k

3 = [tex]\frac{k(2^2)}{4}[/tex]

12 = 4k

3 = k

Solve to find the value of z

z = [tex]\frac{3(4^2)}{9}[/tex]

z = [tex]\frac{3(16)}{9}[/tex]

z = 48/9

z = 16/3

multiply 500 by 4 to know how much is needed in grams first

500×4 = 2000

convert 2000grams to kilograms

since 1000grams make 1 kilograms....then divide 2000 by 1000

which would give you 2000/1000

answer = 2kg of sugar

Answer:

The answer is 2

Step-by-step explanation:

Answer: (a) Yes. The table is a function.

Step-by-step explanation:

In order to be a function, there cannot be any duplicate x-values.

In the given table, each x-value is different so this IS a function.

Answer:

x = -2

Step-by-step explanation:

2x + 5 = 1 ( subtract 5 from both sides )

2x = 1-5

2x = -4 ( divide both sides by 2 )

2x ÷ 2 = -4 ÷ 2

x = -2

Answer: x = -2

Step-by-step explanation: To solve for x, we must first isolate the term containing x which in this problem is 2x.

Since 5 is being added to 2x, we subtract 5

from both sides of the equation to isolate the 2x.

On the left, the +5 and -5 cancel out and on the right, 1 - 5 is -4.

So we have 2x = -4.

Now we can finish things off by just

dividing both sides of the equation by 2.

On the left, the 2's cancel and on the right, -4 divide by 2 is -2.

So x = -2.

Answer:

B

Step-by-step explanation:

4.5 x 6 = 27

4.5 x 8 = 36

27 x 2 = 54

36 x 2 = 72

54 + 72 = 126cm Perimeter/

27 x 36 = 972 cm2 Area/

Answer:

its actaully c because its left alone once you subtract

The correct answer is option (D).

A triangle is a polygon with 3 sides.

Given the triangles ΔABE and ΔACD.

The triangle ΔABE is a smaller-scaled replica of the triangle ΔACD, therefore, the triangles ΔABE and ΔACD are similar triangles.

Since the triangles are similar, the ratio of their corresponding sides is proportional.

Therefore,

BE/CD = AB/AC

Or, BE = CD· (AB/AC)

Hence, the correct answer is option (D).

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Answer:

2/5

Step-by-step explanation:

subtract 130,35,and 74 from 400 you will have 160/400 left then you find the greatest common and divide! and get 2/5

Answer: 2/5

Step-by-step explanation:

Ben gives 35 to Sonia, 130 to Phill, 75 to Lance, in total he gives away 240 counters. the fraction of the counters left in his bag would be 400-240 which is 160 and so his fraction would be 160/400 and this in simplest form would be 8/20 if you divide by 20 and then to simplify that you can divide by 4 to get 2/5

Answer:

Option A

Step-by-step explanation:

[tex]-14m-7m+1=-7m+1\\\\-14-7m+1-(-7m+1)=-7m+1-(-7m+1)\\\\-14m=0\\\\-14m/-14=0/-14\\\\\boxed{m=0}[/tex]

Answer:A

Step-by-step explanation:

-14m-7m+1=-7m+1

then

-14m-7m+7m=1-1

-14m=0

m=0

Answer:

if it is a rectangular prism then it is a rectangle.

Step-by-step explanation:

Answer:

Rectangle

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

for the number 1 on spinner a there are 4 possibilites.

same goes for 2,3 and 4. all in all, there is 32 posibilities total.

for number 1 on spinner a, there are 3 poss. for number 2, there are 2 poss.

in total there are 6 possibilities on spinner A and 6 on spinner B. 6 plus 6 is 12.

12/32=3/8

Answer:

Its 3/8

Step-by-step explanation:

Complete question is:

Nancy is checking to determine if the expressions x+4+x and 6+2x-2 are equivalent. When x=3 , she correctly finds that both expressions have a value of 10. When x = 5, she correctly evaluates the first expression to find that x + 4 + x = 14. What about the second expression?

Answer:

when x = 5; both expressions are equivalent and equal to 14

Step-by-step explanation:

We are told the expressions are:

(x + 4 + x) and (6 + 2x - 2).

We are also told that when x = 3,both expressions are equal and have a value of 10 each.

Now, when x = 5; we are told the expression (x + 4 + x) has a value of 14.

So when x = 5,let's find the value of the second expression by putting 5 for x in (6 + 2x - 2);

So, we have; 6 + 2(5) - 2 = 6 + 10 - 2 = 14

So when x = 5; both expressions are equivalent and equal to 14

Answer:

19683

Step-by-step explanation:

As the formula of the geometric sequence:

[tex]a_{n} =a_{1} *r^{n-1}[/tex]

In the sequence of 1, 3, 9..., you have a1 = 1 and r = 3. Therefore:

[tex]a_{10} =1 *3^{10-1} = 3^{9} =19683[/tex]

Hope this helps!

Answer:

D = 13 units

Step-by-step explanation:

Using Distance Formula to find the length.

Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

D = [tex]\sqrt{(2+3)^2+(-5-7)^2}[/tex]

D = [tex]\sqrt{(5)^2+(-12)^2}[/tex]

D = [tex]\sqrt{25+144}[/tex]

D = [tex]\sqrt{169}[/tex]

D = 13 units

Answer:

i think its 13

Step-by-step explanation:

i just plotted the points on a coordinate plane and counted it out its was around 12.8 so i rounded it and its was 13

Answer : The area of given rectangle is p² - 7p

Step-by-step explanation :

Formula used to calculate the area of rectangle is:

Area of rectangle = length × breadth

Given:

Length = (p-7)

Breadth = p

Area of rectangle = length × breadth

Area of rectangle = (p-7) × p

Area of rectangle = p² - 7p

Therefore, the area of given rectangle is p² - 7p

Answer:

No

Step-by-step explanation:

Answer:

speed = distance/time

distance = 60 miles

time = 1.5 h

speed = 60/1.5

= 40 miles per hour

so the answer in the pic is the correct answer

The equation of line is y = 40x and the unit rate of speed of travel is given by A = 40 mph

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 0 , 0 )

Let the second point be Q ( 1.5 , 60 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 60 / 1.5 )

Slope m = 40 miles per hour

So , the speed of the travel is 40 mph

And , the equation of line is y - y₁ = m ( x - x₁ )

y = 40x , where x is the number of hours

Hence , the speed of the travel is 40 miles per hour

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Answer:

$82.50

Step-by-step explanation:

Given that the unit rate is $13.75 per hour,

1 hour -----> $13.75

6 hours -----> $13.75 x 6 = $82.50

Answer:

11, 13, 17, 31, 37, 71, 73, 79, 97 are the two digit numbers which remain prime even on interchanging the digits.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Reflected across the x-axis => but then moved up 4 units

this makes it in a way "flipped"

We see a's coordinates = (-3, 3)

b's coordinates = (-1, 1)

c's coordinates = (-2, 3)

Hope this helps!

Answer:

Choice A

Step-by-step explanation:

Step 1 - reflection across x-axis, affects y-coordinate only

Step 2- 4 units up, affects y-coordinate only

So for the given points we have:

Choice A is correct

Answer:

7.10a.m.

Step-by-step explanation:

Thats it , byeee

Answer:

7.10am

Step-by-step explanation:

....................

here, we are required to find the range of values for which

The range of values for which x²–5x + 6 < 0

is at; x < 3

x2–5x + 6 < 0

By solving the expression quadratically; we have;

x² -3x -2x +6 < 0

By factorization;

(x - 2)(x - 3) < 0

Therefore;

The range of values for which x²–5x + 6 < 0

is at;

x < 3

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Answer:

6.78 me too I have to work at the same place and time to go home and see you soon I have to go home to sleep now but I'm

Answer:

8ab+12a-2b-3

Step-by-step explanation:

(4a–1)(2b+3)

Use the FOIL method:

First: 8ab

Outer: 12a

Inner: -2b

Last: -3

8ab+12a-2b-3

Answer:

No . Natural numbers are a subset of whole number. Negative numbers are entire numbers but not natural. And any set that contains it. For example, the set {1, 2.3, 2.236067977} or {-79000, pi, 2.236067977, sin(47)} or all real numbers, etc

Step-by-step explanation:

Answer:

a) 10.7 cm

b) 11.6 cm

c) 29.9 cm²

Step-by-step explanation:

a) sin(α)/a = sin(β)/b

sin(∠BCD)/BD = sin(DBC)/DC

sin(41°)/BD = sin(55°)/13.4

BD = 13.4*sin(41°)/sin(55°) = 10.73 cm ≈ 10.7 cm

b) From ΔBCD , ∠BDC = 180-(41+55) = 84°

∠ABD and ∠BDC are alternate interior angles, so they are congruent, and

∠ABD = ∠BDC  = 84°

AD²= AB² + BD² - 2*AB*BD*cos (∠ABD) =

= 5.6² + 10.73² - 2*5.6*10.73*cos(84°) = 133.93 cm²

AD =√(133.93) ≈11.6 cm

c) Area(ADB) = (1/2)*AB*BD*sin(∠ABD)=(1/2)*5.6*10.73*sin(84°) ≈ 29.9 cm²

Answer:

x = 27°

Step-by-step explanation:

Because of the two parallel lines, we can conclude that

corner DAB = corner FDE = 2x

In ∆DAB

Corner DAB = 2x

Corner BDA = 2x (given)

Corner ABD = 72 (given)

The sum of three corners in any trianle, adds up to 180°.

So if one corner is 72° and the other two corners are the same, then the two corners together, must be 180-72 = 108°.

For each corner that is 108/2= 54

so corner BDA = 54° and also corner DAB = 54°.

Given was BDA = 2x and BDA = 54°

so 2x = 54°

then x = 27°

Answer:

f(50) = 31928.24 thousands

Therefore, it means that the US population in year 1850 is 31928.24 thousands

Step-by-step explanation:

Given the function;

f(x)=165.6x^1.345

Where;

f(x) is in thousand and

x is the number of year after 1800

To determine f(50), we will substitute x = 50 into the function of f(x);

f(50)=165.6(50)^1.345

f(50) = 31928.24 thousands

Since f(50) is the US population in year 1800+50 = 1850

Therefore, the US population in year 1850 is 31928.24 thousands

Answer:

f(2) = 18

Step-by-step explanation:

To evaluate f(2) , substitute x = 2 into f(x), that is

f(2) = 3(2 + 4) = 3 × 6 = 18

Area: 68

Perimeter: 50