Ask question

Ask question

All categories

3 years ago

14

For what value of b do the lines bx+3y=10 and x–2y=4 intersect at a point on the x-axis?

1 answer:

schepotkina [342]3 years ago

7 0

Since we need to find the point at which the 2 lines intersect at the x-axis, we need to find where the 2nd line intersects the x axis, by plugging in y=0.

x-2(0)=4
x=4
Therefore, at (4,0).

Now we plug in (4,0) at the first equation.
4b+3(0)=10
4b=10
b=5/2

Therefore, at b=5/2

You might be interested in

Dorit wants to make farmer’s cheese. She knows that for 2 gallons of milk, she will need 14 teaspoon of rennet. She only has 12

Alexeev081 [22]

Answer:

to do this you need to Multiply 14 by 6 to satisfy the fact she has 6 times the amount of milk for 14 teaspoons of rennet

6 0

2 years ago

You offer to do the dishes for your family for the next month. You suggest that they can pay you in one of three ways.

Sophie [7]

Answer:

I say number 2

Step-by-step explanation:

0.02 is 2 cents while 0.20 is twenty sense. That would make more sense

5 0

3 years ago

Read 2 more answers

ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours. Bart's bikes rents bikes for $30 per day. R

lyudmila [28]

Bart company charges a lower rate. It is lower by rate $ 0.5 per hour

<h3><u>Solution:</u></h3>

Given that Ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours

Also given that Bart's bikes rents bikes for $30 per day. Renters can keep the bike for 10 hours

To find: company that charges lower rate

Let us find the hourly rate of Ace and Bart

$\text {hourly rate }=\frac{\text { Rental price }}{\text { total time in a day }}$

<em><u>Hourly rate of Ace company:</u></em>

Rental price = $28

total time in a day 8 hours

$\text {hourly rate }=\frac{28}{8}=3.5$

So the hourly rate of Ace company is $ 3.5 per hour

<em><u>Hourly rate of Bart company:</u></em>

Rental price = $ 30

total time in a day 10 hours

$\text {hourly rate }=\frac{30}{10}=3$

So the hourly rate of Bart company is $ 3 per hour

<em><u>Comparing hourly rate of both companies</u></em>

Ace company is $ 3.5 per hour

Bart company is $ 3 per hour

Bart company < Ace company

3 < 3.5

Thus bart company charges a lower rate

<h3><em><u>How much lower?</u></em></h3>

hourly rate of Ace company - hourly rate of Bart company = 3.5 - 3 = 0.5

So, it is lower by rate $0.5 per hour

6 0

3 years ago

Which answers are equal to the expression below? Check all that apply PLEASE WILL GIVE BRAINLIEST

kramer

Answer:

B., D., E.

Step-by-step explanation:

$\sqrt{9} \cdot \sqrt{100} =$

$= \sqrt{9 \cdot 100}$ This is choice B.

$= \sqrt{900}$ This is choice E.

$= 30$ This is choice D.

5 0

3 years ago

What expression is equivalent to (1/16)^-4

otez555 [7]

16^4 Hope this helps.

7 0

3 years ago

Read 2 more answers