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3 years ago

What is x when the equation is 5|2x+3|=45?

Mathematics

2 answers:

storchak [24]3 years ago

6 0

1.)divide by 5 on each side to obtain
Abs(2x+3)=45
2x+3=45 or 2x+3=-45
2x=42 or 2x=-48
x=21 or x=-24

aliina [53]3 years ago

4 0

5|2x+3|=45

|2x+3|=45/5

|2x+3|=9

Now set up two cases.

2x + 3 = -9 and 2x + 3 = 9

Solve each equation for x and then plug your answers back into the original equation given.

The x-value that produces a true statement for the given absolute value equation will be your answer.

Take it from here.

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Paolo is buying salad and pizza for a company lunch. Suppose that a bowl of salad costs $5.00, and slice of costs $2.00.Let E be

Slav-nsk [51]

Answer:

E=5S+2P
P=0.5(E-5S)

$\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|$

Step-by-step explanation:

Cost of a bowl of salad = $5.00

Cost of a slice of pizza = $2.00

If Paolo buys S bowls of salad and P slices of pizza, then the total amount of money he spends E can be represented by the equation:

E=5S+2P

Next, we make P the subject of the equation above.

2P=E-5S

$P=\dfrac{E-5S}{2} \\P=0.5(E-5S)$

Therefore, The quantity of pizza he buys can be represented by the equation:

P=0.5(E-5S)

When E=$40, we are required to complete the table below.

$\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&\\40.00&4&\\40.00&&0\end{array}\right|$

When S=0, E=$40

From P=0.5(E-5S)

P=0.5(40-5(0))=20

When S=4, E=$40

P=0.5(40-5(4))

=0.5(40-20)

=0.5*20

=10

When P=0, E=$40

P=0.5(E-5S)

0=0.5(40-5S)

40-5S=0

5S=40

S=8

Therefore, the completed table is:

$\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|$

4 0

4 years ago

Point F is on line CD. Find the measure of angle CFE. Show your work.

wel

Answer:

CFD = 180

EFD= 152

180-152= 28

CFE= 28

Step-by-step explanation:

5 0

3 years ago

I was recently charged an annual fee. I have canceled the subscription now. Can you please refund the money charged?

jolli1 [7]

Email Brainly directly. They aren’t gonna see it here

7 0

2 years ago

Segment AB is tangent to T at B. What is the radius of T?

juin [17]

The value of the radius of T is 28 units

<h3>How to determine the value of the radius of T</h3>

From the question, we understand that:

Segment AB is tangent to T at B

This means that

<ABT = 90

So, we have a right triangle

Let the radius of the triangle be r

By the Pythagoras theorem, we have

AT^2 = AB^2 + VT^2

This gives

(25 + r)^2 = 45^2 + r^2

Open the bracket

625 + 50r + r^2 = 2025 + r^2

Subtract r^2 from both sides of the equation

625 + 50r = 2025

Subtract 625 from both sides of the equation

50r = 1400

Divide both sides by 50

r = 28

Hence, the value of the radius of T is 28 units