X+y=4

4 pts

Aliun [14]

Answer:

17

Step-by-step explanation:

So, this is a percentage problem.

Start off by finding how many students 0.28% is:

If 100% = 5780

0.01% = 0.578

Now:

0.01% = 0.578

0.28% = 16.184

The exercise tells you to round for a whole person, so 16.184 turns 17

And that's the answer!

5 0

3 years ago

X^2+19=10 solve algebraically 4x^2+3=43 solve algebraically

raketka [301]

The correct answer is B

8 0

3 years ago

Suppose y varies inversely with X, and y = 48 when x = 3. What is the value of x when y = 24?

olganol [36]

Answer:

C. 6

Step-by-step explanation:

Recall that inverse variation is given by:

$\displaystyle y=\frac{k}{x}$

Where k is the constant of variation.

We know that y = 48 when x = 3. Substitute:

$\displaystyle (48)=\frac{k}{(3)}$

Solve for k:

$k=3(48)=144$

Hence, our equation is:

$\displaystyle y=\frac{144}{x}$

We want to find x when y = 24. Substitute:

$\displaystyle \frac{24}{1}=\frac{144}{x}$

Cross-multiply:

$24x=144$

Divide both sides by 24. Hence:

$x=6$

Our answer is C.

3 0

3 years ago

The rectangle shown has a perimeter of 146 cm and the given area. Its length is 7 more than five times its width. Write and solv

dangina [55]

Answer:

System of equations:

L = 5W + 7

2W + 2L = P

L = 62 cm

W = 11 cm

Step-by-step explanation:

Given the measurements and key words/phrases in the problem, we can set up two different equations that can be used to find both variables, length and width, of the rectangle.

The formula for perimeter of a rectangle is: 2W + 2L = P, where W = width and L = length. We also know that the L is '7 more than five times its width'. This can be written as: L = 5W + 7. Using this expression for the value of 'L', we can use the formula for perimeter and solve for width:

2W + 2(5W + 7) = 146

Distribute: 2W + 10W + 14 = 146

Combine like terms: 12W + 14 = 146

Subtract 14 from both sides: 12W + 14 - 14 = 146 - 14 or 12W = 132

Divide 12 by both sides: 12W/12 = 132/12 or W = 11

Put '11' in for W in the equation for 'L': L = 5(11) + 7 or L = 55 + 7 = 62.

5 0

3 years ago

If each quadrilateral below is a parallelogram,find the missing measures

Rufina [12.5K]

Answer:

Step-by-step explanation:

We will use parallelogram properties to answer our given problems.

(1) Since we know that opposite sides of parallelogram are congruent, therefore measure of side MN and side KN will be equal to the measure of their opposite sides.

LM=KN and KL=MN

Upon substituting our given values we will get,

45=KN and 31=MN

Property: The opposite angles of parallelogram are congruent and consecutive angles are supplementary.

We have been given , therefore .

We will find measure of angle K by using supplementary angles.

By opposite angles of parallelogram .

(2) Opposite sides of parallelogram are equal. Therefore, CF=DE and FE=CD.

Upon substituting our given values we will get,

CF=10 and FE=15.

Property: Diagonals of parallelogram bisect each other.

So CE will be 2 times CG and GD will be half the length of FD.

(3) Property: Opposite sides of parallelogram are congruent.

and

Upon substituting our given values we will get,

and

Property: Diagonals of parallelogram bisect each other.

So SQ will be 2 times TQ and PT will be half the length of PR.

Property: The opposite angles of parallelogram are congruent and consecutive angles are supplementary.

Alternate interior angles.

Opposite angles of parallelogram.

Therefore, measure of angle QRS will 74 degrees.

Alternate interior angles.

Now let us find measure of angle PSQ.

The image is not clear, so I am unable to answer the last two problems.

Step-by-step explanation:

8 0

4 years ago