a line passed through the point (8,9) and has a slope of -3/4. write an equation in slope intercept form.

By using the information that the scooter can travel 118 miles with 1 gallon of gasoline as a reference, we calculate that it can travel 11.8 miles with 0.1 gallons and 1180 miles with 10 gallons.

To complete the table and find the number of miles the scooter can travel for other amounts of gasoline, we can use the given information that the scooter can travel 118 miles with 1 gallon of gasoline as a reference point. We can calculate the mileage for different amounts of gasoline using this information.

Here's how we can complete the table:

Gallon 0.1:

We can calculate the distance for 0.1 gallons by taking 10% of the mileage for 1 gallon:

0.1 * 118 miles = 11.8 miles

Gallon 10:

Similarly, we can calculate the distance for 10 gallons by multiplying the mileage for 1 gallon by 10:

10 * 118 miles = 1180 miles

So, the completed table would look like this:

Gallon 0.1: 11.8 miles

Gallon 1: 118 miles

Gallon 10: 1180 miles

This table provides the number of miles the scooter can travel for different amounts of gasoline, including 0.1 gallons, 1 gallon, and 10 gallons.

For more such information on: miles

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Answer:

$10,500 in the 8% interest account,

$31,000 in the 15% interest account

Step-by-step explanation:

Let

x ---> the amount invested in the 8% interest account

41,500-x ----> the amount invested in the 15% interest account

we know that

The amount  invested in the 8% interest account multiplied by the interest in decimal form plus the amount invested in the 15% interest account multiplied by the interest in decimal form, must be equal to $5,490

so

The linear equation that represent this problem is

[tex]0.08x+0.15(41,500-x)=5,490[/tex]

solve for x

[tex]0.08x+6,225-0.15x=5,490\\0.15x-0.08x=6,225-5,490\\0.07x=735\\x=\$10,500[/tex]

so

[tex]41,500-x=41,500-10,500=\$31,000[/tex]

therefore

$10,500 in the 8% interest account,

$31,000 in the 15% interest account

The equivalent expressions are:

[tex]7(-\frac{3}{4}x - 3) = (7 \times \frac{-3}{4}x) + (7 \times -3)\\\\7(-\frac{3}{4}x - 3) = \frac{-21x}{4} - 21[/tex]

Solution:

Given expression is:

[tex]7(-\frac{3}{4}x - 3)[/tex]

We have to find the equivalent expressions

By distributive property,

a(b + c) = ab + ac

Therefore,

[tex]7(-\frac{3}{4}x - 3) = (7 \times \frac{-3}{4}x) + (7 \times -3)\\\\7(-\frac{3}{4}x - 3) = \frac{-21x}{4} - 21[/tex]

Thus equivalent expressions are found

Answer:

Im pretty sure its a and e

Step-by-step explanation:

lmk if im wrong or right

Answer:

The density of oak is 0.695 grams per cubic centimeter.

Step-by-step explanation:

Given:

Oakwood has a mass of 2.85 kilograms and a volume of 4100 cubic centimeters.

Now, to find the density of oak in grams per cubic centimeter.

Mass (m) = 2.85 kilograms.

So, using conversion factor we convert into grams:

[tex]2.85\times 1000=2850\ grams.[/tex]

Volume (v) = 4100 cubic centimeters.

Now, to get the density by using formula:

[tex]Density=\frac{mass}{volume} \\Density=\frac{m}{v}[/tex]

[tex]Density=\frac{2850}{4100}[/tex]

[tex]Density=0.695\ grams\ per\ cubic\ centimeter.[/tex]

Therefore, the density of oak is 0.695 in grams per cubic centimeter.

Answer:

Step-by-step explanation:

Number of students = 525+625=1 150

The number of people = 525+625+58+12=1 220

let x represent the amounot of water consumed by students

1220———————>1 267 760

1150———————> x

then

x = (1 150×1 267 760)÷1 220 = 1 195 019.67213115

:)

Answer:

It can be anything

Step-by-step explanation:

It just has to be grater.

Answer:

The statement that the probability of Mr. Flores randomly selecting a picture of Frou-Frou is greater than the probability of randomly selecting a picture of his family is FALSE. We can clearly see that the probability of selecting a picture of his family is greater than the probability of selecting a picture of Frou Frou.

Step-by-step explanation:

the probability of randomly selecting a picture of Frou Frou is  = 30/100 = 0.3

The probability of randomly selecting a picture of his family = 50/100 = 0.5

The statement that the probability of Mr. Flores randomly selecting a picture of Frou-Frou is greater than the probability of randomly selecting a picture of his family is FALSE. We can clearly see that the probability of selecting a picture of his family is greater than the probability of selecting a picture of Frou Frou.

Answer:

-5 3/4, -5, 5/12, 1 1/5

Step-by-step explanation:

Negatives are opposite of positives when least to greatest

The required average on next two tests are:

[tex]t\geq \frac{450-p}{2}[/tex]

Solution:

An A grade will be given to students having at least 450 total test points

Let p represent her present test point total, and t represent the necessary average on the next two tests

There are two more tests to take before the semester is over

Therefore,

[tex]p+2t\geq 450[/tex]

A grade is given to students having at least 450 total test points

"at least" means greater than or equal to

So we have used greater than or equal to symbol

Solve the inequality for "t"

[tex]p+2t\geq 450\\\\Subtract\ p\ from\ both\ sides\\\\2t\geq 450-p\\\\Divide\ both\ sides\ by\ 2\\\\t\geq \frac{450-p}{2}[/tex]

Thus the required average on next two tests are:

[tex]t\geq \frac{450-p}{2}[/tex]

Answer:

0.8

Step-by-step explanation:

Answer:

17 pies and one half pie

Step-by-step explanation:

Final answer:

To calculate the cost per second for a $4 million Super Bowl ad that runs for 30 seconds, divide the total cost by the number of seconds, yielding a cost of approximately $133,333.33 per second.

Explanation:

The question asks us to calculate the cost per second for Super Bowl commercial air time when 30 seconds of air time sold for $4 million. To find the price per second, we divide the total cost by the total number of seconds.

Price per second = Total cost ÷ Number of seconds

Price per second = $4,000,000 ÷ 30 seconds

Price per second = $133,333.33 (rounded to the nearest cent)

Therefore, the price per second for Super Bowl commercial air time was approximately $133,333.33.

The measure of ∠K is 49 degrees 22 minutes 51 seconds.

Step-by-step explanation:

Given that ∠J and ∠K are complementary.

∠J = 41°38'9".

∠K = ?

When a sum of two angles result is 90°, then it is called as complementary angles.

Since ∠J and ∠K are complementary, then their sum is 90°.

∠J +∠K=90°.

∠K= 90° - ∠J.

=90°60'60" - 41°38'9".

=49°22'51".

∠K= 49 degrees 22 minutes 51 seconds.

a) Wayne's savings before he spent $28 is $30

b) Stef's savings after she spent $28 is $8

Step-by-step explanation:

step 1 :

let,

Wayne's savings = 5x

Stef's savings = 6x

step 2 :

After spending $28 each of them, The ratio becomes 1/4.

⇒ (28 - 5x) / (28 - 6x) = 1/4

⇒ 4(28 - 5x) = 1 (28 - 6x)

⇒ 112 - 20x = 28 - 6x

⇒ 112 - 28 = 20x - 6x

⇒ 84 = 14 x

x = 84/4 = 6

step 3 :

a) Wayne's savings before he spent $28 = 5x

substitute x=6,

Wayne's savings = 5(6) = $30

step 4 :

b) Stef's savings after she spent $28 = Total savings - $28

                                                             = 6x - 28

                                                             = 6(6) - 28

∴ Stef's savings after she spent $28  = 36 - 28 =$8

(a) Wayne's savings before he spent $28 is $30.

(b) Stef's savings after she spent $28 is $8.

Solution:

Ratio of Wayne's savings to Stef's savings = 5 : 6

Let x be the common amount they have.

After spending $28 each, the ratio becomes 1 : 4.

5x – 28 : 6x – 28 = 1 : 4

This can be written in a fraction form.

[tex]$\Rightarrow\frac{5x-28}{6x-28}=\frac{1}{4}[/tex]

Do cross multiplication.

[tex]$\Rightarrow 4(5x-28)}=1({6x-28})[/tex]

[tex]$\Rightarrow 20x-112=6x-28[/tex]

Arrange like term one side.

[tex]$\Rightarrow 20x-6x=112-28[/tex]

[tex]$\Rightarrow 14x=84[/tex]

⇒ x = 6

(a) Wayne's savings before he spent $28 = 5x = 5(6) = $30

(b) To find stef's savings after spent $28:

Stef's savings before she spent $28 = 6x = 6(6) = $36

Stef's savings after she spent $28 = $36 – $28 = $8

Hence Wayne's savings before he spent $28 is $30

Stef's savings after she spent $28 is $8.

The quotient of 212,960 divided by 1,000 is 212.960, achieved by moving the decimal point to the left by three places, reflecting the three zeros in 1,000.

The question asks to find the quotient when 212,960 is divided by 1,000. To find the quotient, you essentially move the decimal point three places to the left. When dividing by powers of 10, each power of 10 represents the number of places you move the decimal to the left. Therefore, 212,960 divided by 1,000 gives us 212.960. This methodology is similar to the examples provided in the reference where dividing by 10, 100, and 1000 shifts the decimal point to the left by one, two, and three places respectively.

Remember that when multiplying or dividing by powers of 10, the decimal point is moved rather than actually performing the multiplication or division action. This is one of the reasons why working with decimals and powers of 10 is simpler compared to other numbers.

Answer:

the travel of only 1.5 hours:8.25

The travel in 3.8 hours:20.9

Step-by-step explanation:

1.5(5.5)

1.5(3.8)

Answer:

[tex]y=\frac{1}{2} x-2[/tex]

Step-by-step explanation:

We have the two points (4,0) and (0,-2)

Find the slope

[tex]m=\frac{-2-0}{0-4} =\frac{-2}{-4} =\frac{1}{2}[/tex]

y-intercept is -2

[tex]y=\frac{1}{2} x-2[/tex]

Step-by-step explanation:

x+13÷2×2=4×2

x+13=8

x+13-13=8-13

x=8-13

x=-5

Answer:-2.5

Step-by-step explanation:

13/2=6.5. 4-6.5 =-2.5

Answer:

For the first one, x is 9 and y is 2. 9 + 3(2) = 15. The second is y = 3.75

Answer:

23.17%

Step-by-step explanation:

The project costs $15,880 of which you contributed $3,680. To know the percentage of how much you finance,

(amount paid / cost)*100%

= (3680/15880)*100%

= (0.231738035)*100%

= 23.1738035%

Thus the amount contributed is 23.17% of the cost.

Answer:

1 - Avenue A is perpendicular to South St.

2 - 70°

Step-by-step explanation:

1 - North, Center, and South St. are parallel lines. Therefore Ave A will be perpendicular to the three lines.

2 - Ave B and Center street forms a 70° angle. Since Center and South St. are parallel lines, they have corresponding angles. Therefore, Ave B and South St also form a 70° angle. The same is true for Ave B and North St.

Answer: y = -3x + 4

Step-by-step explanation:

subtract the 6x on both sides (2y = -6x + 8)

divide on both sides by 2 to isolate y  ( y = -3x + 4)

Done :)

Answer:

3/5

Step-by-step explanation:

0.6 is actually 6/10 as a fraction. You divide bot the 6 and the 10 by 2 to get 3/5

Since a^2+b^2=c^2 becomes 20^2+b^2=29^2, we solve for b:

400+b^2=841

b^2=441

b=21

So the length of b is 21 units.

Hope this helped!

Answer:

Step-by-step explanation:

b=21

a Leg

20

c Hypotenuse

29

Answer:

36

Step-by-step explanation:

X/100% x 140 = 50.4

X x 140 = 50.4 x 100

X x 140 = 5040

X = 5040/140

X = 36

Answer:

exact form: -8/3

decimal form: -2.6666666

mixed number: -2 2/3

Step-by-step explanation:

Answer:

m=5

Step-by-step explanation:

Since we know that triangle ABC is similar to QRS, we know that the side lengths will be proportional to one another. As such, we should take a ratio to determine the side length of m.

Choose whole numbers to make the division easier

[tex]\frac{QR}{AB} = \frac{QS}{AC} \\\frac{10}{6} = \frac{m}{3} \\\frac{10*3}{6} =m\\m=10*3/6 = 5[/tex]

The missing side length, [tex]$m$[/tex], is [tex]$\boxed{5}$[/tex].

The missing side length, [tex]$m$[/tex], can be found using the fact that triangles [tex]$ABC$[/tex] and[tex]$QRS$[/tex] are similar. This means that their corresponding side lengths are proportional. We can set up a proportion like this:

(m)/(3)=(10)/(6)

Cross-multiplying, we get:

[tex]$$6m[/tex] =[tex]30$$[/tex]

Solving for [tex]$m$[/tex], we get:

[tex]$$m[/tex] =[tex]5$$[/tex]

Therefore, the missing side length, [tex]$m$[/tex], is [tex]$\boxed{5}$[/tex].

Answer:

y=3x-13/2

Step-by-step explanation:

y-y1=m(x-x1)

y-(-1/2)=3(x-2)

y+1/2=3x-6

y=3x-6-1/2

y=3x-12/2-1/2

y=3x-13/2

Final answer:

The speed of the skater is 18 km/h.

Explanation:

To find the speed of the skater, we can set up a proportion using the information given. Let's let the speed of the skater be x km/h. Since the cyclist traveled 9 km/h faster than the skater, the speed of the cyclist would be x + 9 km/h. Now, we can set up the proportion:

(x + 9 km/h)/(45 km) = x km/h)/(30 km).

To solve this proportion, we can cross-multiply and solve for x:

(x + 9 km/h)(30 km) = (x km/h)(45 km)

30x + 270 = 45x

270 = 45x - 30x

270 = 15x

x = 18

Therefore, the speed of the skater is 18 km/h.

Answer:

Option D

Just took test on ed2020 it is the last graph. Option D

Step-by-step explanation:

Answer: D

Step-by-step explanation: