Lincoln's car used 16 gallons to travel 640 miles. How far can he travel on 9 gallons?

Step-by-step explanation:

Hey there!

Here,

The equation is:

[tex]7 \sqrt{3 \: } {x}^{2} + 10x - \sqrt{3 } = 0[/tex]

Comparing the equation with ax^2+bx+c=0. We get;

[tex]a = 7 \sqrt{3} [/tex]

[tex]b = 10[/tex]

[tex]c = \sqrt{3} [/tex]

Now,

Discriminant= ?

We have,

[tex]discriminant = {b}^{2} - 4ac[/tex]

Put all values.

[tex]discriminant = {10}^{2} - 4 \times 7 \sqrt{3} \times \sqrt{3} [/tex]

[tex]discriminant = 100 - 4 \times7 \times 3[/tex]

[tex]discriminant = 100 - 84[/tex]

Therefore the discriminant = 16.

Hope it helps...

Answer:

D w = 12ft, l = 32ft

Explanation:

Make an equation for your length based on the given information.

l = 2w + 8

Make an equation using what you know about the perimeter

p =2l + 2w, p = 88

88 = 2l +2w

Substitute in your previous equation for l.

88 = 2(2w + 8) + 2w

Distribute and simplify.

88 = 4w + 16 + 2w

88 = 6w + 16

72 = 6w

w = 12

Now you can solve for l using the first equation.

l = 2(12) + 8

l = 32

Your answer is w = 12fr, l = 32ft. You can check your work by plugging the values back into the perimeter equation.

Answer:

In every Graph you must have the following:

- Heading

- The Two Axis (X and Y)

- Labels for the two axis

- Data

- A Line of Best Fit* joining them up

*A Line of Best fit is a line that doesn't touch all the points but goes between them so you can see roughly the next part of the pattern.

☽------------❀-------------☾

Hi there!

~

2.3 to 1 significant figure.

= 2

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

2

Step-by-step explanation:

Locate the ones place:

2.3

Check the next number:

2.3

Since the number is less than or equal to 4, we round down.

2.3 ≈ 2

Hope this helps.

Answer:

slope =  [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 6) and (x₂, y₂ ) = (- 5, - 1)

m = [tex]\frac{-1-6}{-5+2}[/tex] =  [tex]\frac{-7}{-3}[/tex] = [tex]\frac{7}{3}[/tex]

Answer:

It should be 3 to 8

Step-by-step explanation:

Answer:

3:8

Step-by-step explanation:

because there are 3 cups of drink mix and 8 cups of water

Answer:

425/7

Step-by-step explanation:

I used a calculator. Hope this helped!!

Answer:

the answer is 425/7

Step-by-step explanation:

I used the calculator lol

Answer:

They are points on a graph. Just put the points on a graph. There's no math to it, really.

Step-by-step explanation:

F(2, -6)

F(x, -y)

and

G(8, -5)

G(x, -y)

Answer: the answer is 3.2 miles

Step-by-step explanation:

The distance the fisherman rowed is 3.2 miles if the fisherman can row upstream at 1 mph and downstream at 4 mph.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

A fisherman can row upstream at 1 mph and downstream at 4 mph.

He started rowing upstream until he got tired and then rowed downstream to his starting point.

Let the time of row upstream is x hours

Let the time of row downstream be y hours

From the question:

x + y = 2

x = 2 - y

x = 4y

Solving the above two linear equations by substitution method:

2 - y = 4y

5y = 2

y = 2/5

y = 0.4 hours

Distance = speed×time

Distance = 4×0.4 = 1.6 miles

= 1.6×2 = 3.2 miles

Thus, the distance the fisherman rowed is 3.2 miles if the fisherman can row upstream at 1 mph and downstream at 4 mph.

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Answer:

-35x³ - 39x² + 25x

Step-by-step explanation:

Step 1: Write out expression

(5x - 3x²) - (5x - 2)(10x + 7x²)

Step 2: Distribute/Expand

5x - 3x² - (50x² + 35x³ - 20x - 14x²)

Step 3: Combine like terms

5x - 3x² - (36x² + 35x³ - 20x)

Step 4: Distribute negative

5x - 3x² - 36x² - 35x³ + 20x

Step 5: Combine like terms

-35x³ - 39x² + 25x

Answer:

WAIT standard .?

Step-by-step explanation:

The Answer is

A~13057.38

The money, to the nearest cent, would be in the account after 15 years is $13060.

Due to the high frequency of compounding, daily compounded interest is larger than monthly/quarterly compounded interest since interest is accumulated on a daily basis and is determined by charging interest on principal plus interest gained on a daily basis

It is given in the question that Kennedy invested $5000

Interest rate = 6.4% compounded daily

Assuming no deposits and withdrawals

T = 15 years

The formula for amount obtained after 15 years when interest is compounded daily

[tex]\rm A = (P(1 + \dfrac{r}{n})^{nt})[/tex]

[tex]\rm A = (5000(1 + \dfrac{6.4}{365*100})^{365*15})[/tex]

A = 5000 * 2.612

A = $13060

Therefore , money, to the nearest cent, would be in the account after 15 years is $ 13060.

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Answer:

600

Step-by-step explanation:

6x10^2 = 600

Answer:

600

Step-by-step explanation:

Answer:

He does that because he is short and his hand can't reach the 20th floor button

Step-by-step explanation:

Mitch does that simply because he is short.

When he is leaving, he doesn't need to reach the 20th floor button because the button is way taller than the reach of his hands whereas when he is returning he has to reach the 20th floor button but his hand can only reach the 15th floor button. Thus, he gets to the 15th floor and walks up the remaining 5 flights.

Answer:

100³ or 1000000 or 10^6

Step-by-step explanation:

(4³)(5^6)

(20³)(5³)

(20×5)³

100³

Answer:

I think that the answer would be 1000000

Answer:

31

Step-by-step explanation:

Since be is in the middle its connecting the two.

So you will add the 11 and 20 to get 31

Answer:the answer is 7.5 if you need to round it up it’ll be 8 if you need it as a fraction it’ll be 7 1/2

Step-by-step explanation:

Answer:

it is D ..................

Answer:

$40 is the sales price after a 20% discount.

(*Edited as the shoes are $50.00, not $60.00)

Step-by-step explanation:

When calculating discounts, we can convert the percentage to a decimal and multiply by the original sales price:

[tex]50(.20)[/tex]

Multiply.

[tex]50(.20)=10[/tex]

Subtract your product from the sales price.

[tex]50-10[/tex]

Subtract.

[tex]50-10=40[/tex]

Answer:

983000000

Step-by-step explanation:

Answer:

3) x=7

4) x=6

5) x=8

6) x=4

AB=24

Step-by-step explanation:

3) 3x+4x=49

7x=49

x=49÷7

x=7

4) (8x-14)+(4x+1)=59

12x-13=59

12x=59+13

12x=72

x=6

5) 6x-7=5x+1

6x-5x=1+7

x=8

6) 6x+2x+1=33

8x=33-1

8x=32

x=4

AB=6x=6(4)=24

Answer:

r = 13

Step-by-step explanation:

-3r=-26-13

-3r=-39 divide by 3

r=13

Step-by-step explanation:

13 - 3r = -26

13 − 3r −13 = −26 − 13

−3r=−39

divide by 3

r = 13

Answer:

42 feet

Step-by-step explanation:

y=mx+b

y=9x+6

9•4 =36 +6= 42

42=(9•4)+6

Answer:

4 ;P !!!!!!!!!!!!!!!!!!!!!!

Answer:

4

Step-by-step explanation:

2+2=4

Answer:

Okay, I think you mean't 4x-9=6x+12.

Step-by-step explanation:

x=-7

Answer:

63

Step-by-step explanation:

7*9=63 equal on negative

Answer:

Gray kangaroo weighs 87 kg.

Step-by-step explanation:

Total weight of the two kangaroo = 139 kg.

Let the weight of the gray kangaroo be represented by p.

Since the red kangaroo weighs 35 kg less than the gray kangaroo = (p - 35) kg.

Thus;

weight of gray kangaroo + weight of red kangaroo = 139 kg

p + (p -35) = 139

p + p -35 = 139

2p = 139 + 35

2p = 174

p = 87

The weight of the gray kangaroo is 87 kg.

Weigth of the red kangaroo = (87 - 35)

                                               = 52 kg

The gray kangaroo weighs 87 kg.

let the weight of the gray kangaroo as G.

We have,

the red kangaroo weighs 35 kg less than the gray kangaroo.

So, the weight of the red kangaroo can be represented as G - 35.

We also know that the combined weight of the red kangaroo and the gray kangaroo is 139 kg. So we can write the equation:

G + (G - 35) = 139

Combining like terms:

2G - 35 = 139

Now, let's solve for G by isolating the variable:

2G = 139 + 35

2G = 174

Dividing both sides by 2:

G = 174 / 2

G = 87

Therefore, the gray kangaroo weighs 87 kg.

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Answer:

8

Step-by-step explanation:

Do |7 - 9| first, and you get -2, however since it is absolute value, you use the positive version, making it two. Now you have 5|2|-2. Multiply 5*2=10. Then subtract 2.

Answer:

last choice: 55,000 + 3,700n = 63,000 + 2,900n

Step-by-step explanation:

Blanca's salary now: 55,000

Adding $3,700 per year will add 3,700n in year n.

Her salary in year n will be 55,000 + 3,700n

Isabel's salary now: 63,000

Adding $2,900 per year will add 2,900n in year n.

Her salary in year n will be 63,000 + 2,900n

We set the two total salaries equal:

55,000 + 3,700n = 63,000 + 2,900n

Answer:

the answer is D i did and made a 100 good luck on rest of the test

Step-by-step explanation: