How many solutions does the equation 4x + 2(x − 5) = 3(2x − 4) have? Group of answer choices infinitely many solutions exactly one solution no solution at least two solutions

Answer:

Step-by-step explanation:

26% is (26-20)/(50-20) = 6/30 = 1/5 of the way between 20% and 50%. That means 1/5 of the solution is 50% acid.

50% acid: 1/5 · 100 mL = 20 mL

20% acid: 100 mL -20 mL = 80 mL

Delbert must mix 80 mL of 20% acid and 20 mL of 50% acid.

_____

Maybe you'd like to see an equation. Let x represent the amount of 50% acid required. Then 100-x is the amount of 20% acid needed.  The amount of acid in the mix is ...

  0.50(x) +0.20(100 -x) = 0.26(100)

  (0.50 -0.20)x = (0.26 -0.20)100 . . . . subtract 0.20(100)

  x = (0.26 -0.20)/(0.50 -0.20)×100 = 20

This last expression should look a lot like the one we started with in this answer. It shows you how you can almost write down the answer to mixture problems without a lot of work.

Step-by-step explanation:

We can simplify the polynomial x² + 5x + 6 as (x + 2)(x + 3)

Let me know what are you looking for regarding this polynomial!

Answer:

(x+2)(x+3)

Step-by-step explanation:

x^2+5x+6

x^2+(2+3)x+6

x^2+2x+3x+6

x(x+2)+3(x+2)

(x+2)(x+3)

Answer:

16m + 12m - 8a + 32

Step-by-step explanation:

16m + 4(3m) - 4(2a) + 32. distribute the number (4) among the numbers inside of the parenthesis

16m + 12m -8a + 32. multiply

Answer: 11

Step-by-step explanation: replace x for 3 and solve.

Answer: C

Step-by-step explanation: I just did it in e2020

Answer:

C

Step-by-step explanation:

I took the quiz edge2021

Answer:

She will need 1/6 of a cup of sugar to make 1/4 of the recipe.

Step-by-step explanation:

Write and solve an equation of ratios. On the left side we have the ratio of the fraction of the recipe and on the right that of the amount of sugar in each case:

1 recipe      2/3 cup

------------- = -------------

1/4 recipe         x

Cross multiplying gives us:

1x = (1/4)(2/3), or

x =2/12 or 1/6

She will need 1/6 of a up of sugar to make 1/4 of the recipe.

Answer:

if i get home after 5:00

Step-by-step explanation:

there is an IF

Answer:

graph A in the right answer.

Step-by-step explanation:

I just took the test :)

Answer:

its A.

Step-by-step explanation:

just took the quiz

Answer:

13r + 2t

Step-by-step explanation:

Step 1: Write out expression

3r + 2(t + 5r)

Step 2: Distribute

3r + 2t + 10r

Step 3: Combine like terms (r)

13r + 2t

Answer:

Step-by-step explanation:

C = 1.35n + 15

Answer:

When x is equal to 3, f(x)= 13

Step-by-step explanation:

f(x) is basically y so it is asking us to find y when x=3

2x2+1

2*3*2+1

12+1= 13

When x is equal to 3, f(x)= 13

Hope this helps!

Answer:

22 ft.

Step-by-step explanation:

First we can get the total change in elevation, which should be the final elevation minus the initial elevation:

(98ft)-(10ft)=88ft

Then, to get the change in 4 equal intervals, we can divide the total change in elevation by 4.

(88/4)ft=22ft

So during each of the four intervals, assuming they were four equal intervals, the diver descends 22ft.

Answer:8.4 or 8 depends on the rounding

Step-by-step explanation:

Answer: Its 8 and 9!

Step-by-step explanation:

Answer: 3/4

Step-by-step explanation: Doing order of operations we first do 7x1=7, then 7-4=3, then finally do 4x1/4=3/4.

Hope this helps! :)

Answer:

= 6

Step-by-step explanation:

7 x 1 - 4 x 1/4

7 - 4 x 1/4

7 - 1

= 6

hope this helps

Answer:180

Step-by-step explanation:

The angle "b" and the angle "d" are both the same angle measure. In other words, they are opposite angles that share the black dot in the middle. Angle "a" and angle "c" are both opposite angles which make them the same. They can also be called congruent angles. Even if they are facing a different direction, they are the same.

Therefore, the answer is 130 degrees

Best of Luck!

answer:

130 degrees

explanation:

the angles "a" & "c" are opposite (also called congruent) so they are the same.

Answer:

Step-by-step explanation:

Ordered pair (x, y) on a graph shows the two values,

x - values → Horizontal distance of the point form the origin.

y - values → Vertical distance of the point from the origin.

Example:

If we have to ploy (1, 3) on the graph.

We will plot a point which has a horizontal distance of 1 unit (grid) and 3 units vertical distance from the origin.

Now we will plot the points given in the table.

Step-by-step explanation:

Well, if 1 gallon of gas = 1 hour then

2 hours would be 2 gallons so only 11 gallons of gas would be left in the tank and

13 hours would be 13 gallons, so 0 gallons of gas would be left in the tank

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

B is the midpoint of AC so AB = BC.

AB + BC = AC

AB + AB = AC

2(AB) = AC

[tex]2\left(3\left(3x-1\right)\right)=5\left(2x+2\right)[/tex]

Expand:

[tex]2\times3\left(3x-1\right)=5(2x+2)[/tex]

[tex]6\left(3x-1\right)=5(2x+2)[/tex]

[tex]6\times3x-6\times1=5\times2x+5\times2[/tex]

[tex]18x-6=10x+10[/tex]

Add 6 to both sides:

[tex]18x-6+6=10x+10+6[/tex]

[tex]18x=10x+16[/tex]

Subtract 10x from both sides:

[tex]18x-10x=10x+16-10x[/tex]

[tex]8x=16[/tex]

Divide both sides by 8:

[tex]\frac{8x}{8}=\frac{16}{8}[/tex]

[tex]x=2[/tex]

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

First, we know that the entire segment adds up to 5(2x+2). In other words:

[tex]AB+BC=5(2x+2)[/tex]

Now, since B is the midpoint of AC, by the definition of midpoint, AB and BC are equivalent. So:

[tex]AB=BC[/tex]

Since we know that, let's substitute BC for AB in the first equation:

[tex]AB+BC=5(2x+2)\\[/tex]

This is equivalent to:

[tex]AB+AB=5(2x+2)[/tex]

Combine like terms:

[tex]2AB=5(2x+2)[/tex]

And since we know that AB is 3(3x-1), substitute:

[tex]2(3(3x-1))=5(2x+2)[/tex]

Now, solve for x.

Distribute the left side:

[tex]6(3x-1)=5(2x+2)[/tex]

Distribute both sides:

[tex]18x-6=10x+10[/tex]

Add 6 to both sides:

[tex]18x=10x+16[/tex]

Subtract 10x from both sides:

[tex]8x=16[/tex]

Divide both sides by 8:

[tex]x=2[/tex]

So, the value of x is 2.

And we're done!

Notes:

You didn't particularly state what you need to find. If you want to length of AB or BC, it would be:

[tex]AB=BC=3(3(2)-1)=15[/tex]

And the entire length AC is:

[tex]AC=2(15)=30[/tex]

Answer:

Step-by-step explanation:

g(-7) = -7 + 2 = -5

Answer:

It is a rational number

Step-by-step explanation:

Answer:5 is a rational number

Step-by-step explanation:

Answer -11r - 31

First you have to multiply the 4 to the numbers on parenthesis and also the 5 to the numbers of parenthesis.

Step-by-step explanation:

hello just came here to get likes

Answer:

-20

Step-by-step explanation:

a2 + ( b-c)

rewrite the equation

2 * a + ( b - c )

a = -8

b = 17

c = 21

substitute in the given values

(-8) 2 + ( (17) - (21) )

simplify and solve

-16 + ( 17-21)

= -16 +  (-4)

= -16 -4

=-20

Answer:

Midpoint: [tex](\frac{3}{2} ,0 )[/tex]

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Step 1: Define variables

x₁ = 7

x₂ = -4

y₁ = -2

y₂ = 2

Step 2: Plug into midpoint formula

[tex](\frac{7-4}{2} ,\frac{-2+2}{2} )[/tex]

Step 3: Simplify/Evaluate

[tex](\frac{3}{2} ,\frac{0}{2} )[/tex]

[tex](\frac{3}{2} ,0 )[/tex]

Answer:

36

Step-by-step explanation:

so basically thats the answer