Triangle CDE, with vertices C(-4,2), D(-3,7), and E(-7,6), is drawn inside a rectangle,
as shown below.what is the area in square units of triangle CDE?

The exam has 35, 2-point questions, and 15 5-point questions solved by linear equations.

A linear equation is an equation with only one variable. It has the formula Ax + B = 0, where A and B can be any two real values, and x is an unsolved variable.

Let us assume there are x 2-points question, so there are x-50 5-points question .

Hence total no of points: 2×x+5×(50-x)=145 points

This forms a linear equation in x.

Now let us solve the linear equation in x to get the number of 2 mark questions.

2x+250-5x=145

or, -3x=-105

or, x=-105/-3

or, x=35

There are 35 2-points questions

Remaining questions 50-35=15

Hence there are 15 5-points questions.

Solving the linear equation we get 35 2 point questions and 15 5 point questions.

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Answer:

the one riding a bike went a total distance of 51 miles and the person walking went 6 miles

Step-by-step explanation:

17 x 3 = 51

2 x 3 = 6

Answer: Yes

Step-by-step explanation:

The x-intercepts of the function where the function is given as y(x) = cos(x) are π/2 and 3π/2

The x-intercept of the function is the point or points where the graph of the function crosses the x-axis i.e. the point where the function equals 0

The function is given as

f(x) = cos(x)

And the interval is given as

[0, 2)

The above means that we determine the value of x when the function f(x) equals 0

So, we have

cos(x) = 0

The above equation can be solved graphically

See attachment for the graph of the function f(x) = cos(x)

In the interval [0, 2), the graph crosses the x-axis at points x = π/2 and 3π/2

Hence, the x-intercepts of the function where the function is given as y(x) = cos(x) are π/2 and 3π/2

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According to the equation does the graph of the systems of equations solve is B.

1/3x+1=2x-4 is correct.

A graph is a structure consisting of a group of items, some of which are "linked." The objects are mathematical abstractions known as vertices, and each pair of connected vertices is known as an edge.

It is evident from the graph that the two lines intersect at the location:

(3, 2).

To put it another way,

at x =3, y = 2

The point where two lines intersect is:

(x, y) = (3, 2) (3, 2).

Now,

x = 3 is the point  of the x-coordinate

y = 2 is the point of the y-coordinate

Now, examine the equation, 1/3x+1=2x-4, to see if it contains the correct x-coordinate value.

(1/3)x + 1 = 2x -4

subtracting 1 from both side:

(1/3)x + 1 -1  = 2x -4 -1

We get:

(1/3)x = 2x -5

subtract 2x from both sides:

(1/3)x -2x = 2x -5 -2x

We get:

-(5/3)x = -5

on simplifying the equation we get:

x = 3

the value of x = 3

this show that the 1/3x+1=2x-4 is correct.

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Answer:

$2.50

Step-by-step explanation:

20 ÷ 8 =  2.50

Answer:

∠ON = 5

Making even jumps, I was able to determine that angles O and N were 5 units apart.

If you need me to put it in radical form or have concerns about this, please inform me. Have a good day!

Answer: 16

Step-by-step explanation:

Let Skylar is x year old

Hence, they ages is (x+1), (x+2), (x+3)

Thus,

x+(x+1)+(x+2)+(x+3)=70

x+x+1+x+2+x+3=70

4x+6=70

4x+6-6=70-6

4x=64

Divide both parts of the equation by 4:

x=16

The age of Skylar is 16.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the ages of the siblings be x, x+1, x+2 and x+3.

and, the sum of the ages be 70.

So, x+ x+1 + x + 2 +x+ 3 = 70

4x + 6 = 70

4x = 70 - 6

4x = 64

x= 64/4

x = 16.

Then, the age of siblings be 16. 17, 18 and 19.

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The total amount the Kiko spent on video game and DVDs is $30.30

What is the relationship between rental price and total cost?

The relationship between rental price and total cost is such that the total cost of renting is determined cost per item multiplied by the number of items rented, in other words, the total amount Kiko spent on video game is the rental price of each video game multiplied by the  number of video games rented

total amount Kiko spent on video game=$3.20*6

total amount Kiko spent on video game=$19.20

total amount Kiko spent on DVDs=$3.70*3

total amount Kiko spent on DVDs=$11.10

total amount Kiko spent=$19.20+$11.10

total amount Kiko spent=$30.30

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Answer: 8

Step-by-step explanation:

The answer is 8 because you simply replace x with 8.

f(8)=-4^2-8

-4 times -4 equals 16 and then you do 16-8 which is 8. The answer is 8.

Answer:

give brainliest to other person, I read the question wrong lol

The two numbers with the value of 9 in the first digit being 10 times the value of 9 in the second digit are 98 and 9.

The first number will be 9 and the second number will be 98.

In the second number, the 9 is in the tens position which means that it has the value of 90.

In the first number, the value of 9 is simply 9.

therefore,90 is 10 times the value of 9 which means that 9 and 98 satisfy the requirements.

The “tens” digit is the digit in the second place to the left of the decimal point. The tens digit of 42936.875 is “3”. The “tenths” digit is the digit directly to the right of the decimal point.Each digit is a different place value. The left digit is the tens' place. It tells you that there are 8 tens. The last or right digit is the ones' place which is 4 in this example

In our decimal number system, the value of a digit depends on its place, or position, in the number. Each place has a value of 10 times the place to its right. A number in standard form is separated into groups of three digits using commas.

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5d^2 + 14

6 + 2(3d^2+4) -1d^2

14 + 5d^2

5d^2 + 14

Sol. : 5d^2 + 14

The information illustrated that A. there is a small difference in the mean number of stray cats placed in homes buy a new lease on life animal clinic each week and the mean number of stray cats placed in homes by no raft staff animal hospital each week.

A mean or average is the ratio of the sum of observations to the number of observations.

For the first case:

Mean = (13*5 + 14*10 + 15*19 + 16*13 + 17*4)/75 = 10.21

For the second case:

Mean =(3*2 + 4*10 + 5*21 + 6*11 + 7*5 + 8*3)/33 = 10.48

Therefore, it should be noted that there is a small difference in the mean number of stray cats placed in homes buy a new lease on life animal clinic each week and the mean number of stray cats placed in homes by no raft staff animal hospital each week.

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Answer:

532/46=11.565217

Step-by-step explanation:

i think its help u

Answer:

11.57 or 11 is the quotient. This depends if hundredths can allowed or not.

Step-by-step explanation:

Even would take the 532 blocks and divide it by 46 thus getting 11.565...

Hopefully this helped! Take a break and have a great day! :D

Moped travels a distance of  6.25 miles in 1/2 hours at the given rate.

The moped travels 25 miles in 2 hours.

Therefore, a Moped travels a distance of  6.25 miles in 1/2 hours at the given rate.

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Answer:

4. 7

5. a=7   d=31.5

Step-by-step explanation:

Since the point V is located on line segment UW, the length of the line segment UW is 9 units

From the question, we have the following parameters:

Point V is located on line segment UW

And the lengths are

UV= 3 units

VW = 6 units

Because the point V is located on line segment UW, then we have

UW = UV + VW

This gives

UW = 3 + 6

Evaluate the sum

UW = 9

Hence, the length of the line segment UW is 9 units

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Answer:

which one is a factor that effects temperature between Tanzania and Netherlands ?

Answer:

x = -16

Step-by-step explanation:

An exterior angle of a triangle is the angle formed when one side is extended.

The sum of all exterior angles is 360°

Since the 3 exterior angles are given in terms of x we can add them up, set the sum to 360 and solve for x

Adding we get

-9x + 13  
-2x +  3    
-10x +  8
_________

-21x + 24
_________

∴ -21x + 24 = 360

Subtract 24 from both sides:
-21x = 360-24
-21x = 336

Divide both sides by -21
-21x/-21 = 336/-21
x = -16

Hope that helps. Please ask if you need any more explanation

Answer:

Step-by-step explanation: 15 divided by 5 is 3

so the answer is 3

Answer:

Do 50.00-36.85 and boom ur answer

0.375 is a rational numbers.

A rational number is any number that can be expressed as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, where the denominator of the fraction is not equal to zero.

0.375 can be written as a fraction.

0.375 = 375/1000

Therefore 0.375 is a rational number.

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Answer:

68

Step-by-step explanation:

The formula for this equation is %/100 x original cost. The equation then is 15/100 x 80. Cut the zero from the 80 and 100 making the equation 15/10 x 8. divide the 15/10 which is 1.5. The final equation is 1.5 x 8 which is 12. This isnt the answer this is the price reduction which means u also have to do 80 - 12 which means the final answer is 68

Answer:

7 oz.

Step-by-step explanation:

$800 x 7 = $5600.

Answer:

7 ounces

Step-by-step explanation:

5600/800=7

The dimensions of the another rectangle is 2 cm and 4 cm.

According to the statement

We have to find that the perimeter of another rectangle.

So, For this purpose, we know that the

The perimeter of a shape is defined as the total length of its boundary.

From the given information:

The perimeter of a pool is 150 m. the rectangle at the right is a scale drawing of the pool. The length of each square on the grid represents 1 cm. draw another scale drawing of the pool using the scale 25 m to 2 cm.

Then

From the given rectangle,

Length of the rectangle = 5 cm

Width of the rectangle = 10 cm

Ratio of length : width = 1 : 2

Perimeter of the rectangle = 2(l + b)= 150 cm

l + b = 75 -----(1)

Since, l : b = 1 : 2

l/b = 1/2

b = 2l ------(2)

From equations (1) and (2),

l + 2l = 75

3l = 75

l = 25 m

Width 'b' = 2(25) = 50 m

Now we've to draw a rectangle with a scale = 25 : 2

Therefore, multiplier factor = 25/l = 25/2

l = 2 cm

Similarly,

50/w = 25/2

w = 4 cm

Now we are able to draw a rectangle with length = 2 cm and width = 4 cm.

So, The dimensions of the another rectangle is 2 cm and 4 cm.

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Answer:

10z+20

Step-by-step explanation:

The perimeter is the sum of all the side lengths.  Starting at the top left corner and going clockwise:

2z+z+5+10+5+z+2z+4z

Combine like terms

2z+z+z+2z+4z+5+5+10

10z+20

Answer:

16z+10

Step-by-step explanation:

The explanation is in the attached file below

Answer:

1:17 PM

Step-by-step explanation:

1:59 has 59 minutes

42 minutes is what we must subtract by to find the time of the musical, M

[tex]M = 59 - 42\\M = 17\\M = 1:17[/tex]