It takes 3 gallons of gas to drive 102 miles. How many miles can be driven on 16 gallons of gas?

Answer:

Step-by-step explanation:

Given this quadratic expression.

x² – 10x + c = 0

We are to find the value c that will make the expression a perfect square'

Using the completing the square method

Add the square of the half of coefficient of x

Coefficient of x = -10

Half of -10 = 1/2(-10) = -5

Square of -5 = (-5)^2 = 25

Hence the value of c to complete the expression is 25

Answer:

18/25

Step-by-step explanation:

72% = 72/100

72/100 simplified

=18/25

Answer:

a. Are B and C independent?    NO

b. Are A and C mutually exclusive?   NO

c. Are A and B independent?    YES

d. Are A and B mutually exclusive?  NO

Step-by-step explanation:

Given the data in the question;

P(A|B) = 0.26 P(A)   [ A and B are independent ]

P(B|C) = 0          [ B and C are mutually exclusive ]

P(C/A) = 0.26 ≠ P(C)

hence, [A and C are neither independent nor mutually Exclusive]

Therefore;

a. Are B and C independent?    NO

b. Are A and C mutually exclusive?   NO

c. Are A and B independent?    YES

d. Are A and B mutually exclusive?  NO

Answer:

what's the grade level?

Step-by-step explanation:

Answer:

122,850 sq. ft.

Step-by-step explanation:

The area of a circle is A = πr²; since these are semi-circles, the area would be given by A = 1/2πr².  Using 1/2x in place of r, we have

A = 1/2π(1/2x)² = 1/2π(1/4x²) = 1/8πx²

Using 22/7 for π, we have

A = 1/8(22/7)x² = 22/56x²

Since there are 2 semi-circles, this gives us

2(22/56x²) = 44/56x²

Simplifying this, we have

A = 22/28x² = 11/14x²

This gives us the expression

2x²+11/14x² for our expression for the area.

(Without using 22/7 for pi, we have

2x²+2(1/8πx²) = 2x²+2/8πx² = 2x²+1/4πx²

Using 210 for x and 22/7 for π, we have

A = 2(210²)+1/4(22/7)(210²) = 88200+34650= 122,850

Answer: 50° and 40°

Step-by-step explanation:

Complementary angles add up to 90°

Smaller angle - x

Larger angle - 10 + x

10 + x + x = 90

10 + 2x = 90

Subtract 10 from both sides

2x = 80

Divide both sides by 2

x = 40

Larger angle - 10 + x

10 + 40 = 50

The measure of the smaller angle is 40° and the measure of the larger angle is 50°

Hope I helped!

Answer:

[tex]120 \frac{4}{5}[/tex] or 120.8 miles per hour

Step-by-step explanation:

We first convert the distance into an improper fraction to facilitate calculation.

[tex]90 \frac{3}{5} = \frac{90\times 5 + 3}{5} = \frac{453}{5}[/tex]

Average speed

= distance/time

= [tex]\frac{\frac{453}{5}}{\frac{3}{4}}[/tex]miles per hour

= [tex]\frac{453}{5} \times \frac{4}{3}[/tex] miles per hour

= [tex]\frac{604}{5}[/tex] miles per hour

= [tex]120 \frac{4}{5}[/tex] miles per hour or 120.8 miles per hour

Answer:

B but sorry 4 the time tho

The measure of the trigonometric relation cos 60° = 1/2

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric relation be represented as A

Now , the value of A is

A = cos 60°

And , cos θ = adjacent / hypotenuse

So , cos 60° = 1/2

Hence , the measure of cos 60° = 1/2

To learn more about trigonometric relations click :

https://brainly.com/question/14746686

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Answer:

<1 =126

Step-by-step explanation:

<2 = 126 since they are vertical angles

<1 = <2 since they are alternate interior angles

<1 =126

Answer:

Amount off: 19% off

Sale price: $97.4925

Total cost: $103.34205

Step-by-step explanation:

Please mark as Brainliest!

Answer:

Step-by-step explanation:

Sides of the triangle:

Perimeter is the sum of side lengths:

Answer:

uiiu

Step-by-step explanation:

Answer:2/4

Step-by-step explanation:

In ΔVWX, the measure of ∠X=90°, the measure of ∠W=9°, and WX = 8.7 feet. Find the length of XV to the nearest tenth of a foot.

Answer:

y<-1/3x+3

Step-by-step explanation:

The slope of this graph is -1/3 (If I read the graph correctly), from points (-3,4) and (0,3).

The graph is a y-intercept of 3, because it crosses the y-axis at 3, (0,3).

To find whether this statement is true or not, you can plug in a random point from the shaded area and test that point. (I like to use the origin, (0,0))

(0)>-1/3(0)+3     (0)<-1/3(0)+3    

0>0+3               (0)<+3    

0>3                    0<3

The one to the right, 0<3, is true so the sign is a less than sign.

Also make sure that the line either makes a less than/ less than or equal to sign. Because the line is dashed, it makes a less than sign.

Answer:

$37

Step-by-step explanation:

Let $x be the amount Kelly saved.

Kelly saved $x.

Indhu saved $(x-16). (Kelly saved $16 more than Indhu)

Marvin saved $2(x-16). (Marvin saved twice the amount Indhu saved)

They saved $100 together.

Therefore we could set up an equation.

x+(x-16)+2(x-16)=100

x+x-16+2x-32=100

4x=148

x=37

Therefore Kelly saved $37.

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

[tex]\frac{(6x + 12)(x - 5)}{(x-5)(x+2)}=\frac{(6*x +6*2)(x- 5)}{(x-5)(x+2)}\\\\=\frac{6(x+2)(x-5)}{(x-5)(x+2)}[/tex]

= 6

Answer:

6) 17/25

7)3/50

8)70%

9)48%

10)18/25

11)3/8

12)22.5%

13)87.5%

14)

a)1/2=50%

b)1/5=20%

c)3/4=75

d)2/5=40%

Answer:

Jupiter, Saturn, Uranus, and Neptune

Step-by-step explanation:

yes

Answer:

J,S,U,N

Step-by-step explanation:

Jupiter stern Uranus and Neptune

Answer:

Step-by-step explanation:

X=6

Answer:

307.88

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hope it helps!

Answer:

-1 and 1/7

Step-by-step explanation:

hope this helps! have a great day!

Given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.

Thus:

ΔPQR and ΔSTU are similar because:

PQ/ST = PR/SU = QR/TU = 3.5

Therefore,

m∠Q = 180 - 70 - 46

m∠Q = 64°

Thus, given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.

Learn more about similar triangles on:

https://brainly.com/question/2644832

Answer:

6.25 miles

Step-by-step explanation:

To find how many miles they ran, divide the number of kilometers by 1.6

10/1.6

= 6.25

So, they ran 6.25 miles

Answer:

56cm2

Step-by-step explanation:

1÷3×4×6×7

=56cm2

Answer:

I want to say its A

Step-by-step explanation:

It makes the most sense to me, and i hope its right, have a good day :)

Answer: the volcano began to erupt and emit dark clouds of ash into the sky

Step-by-step explanation:

Answer:

(-1.5, 3) are the coordinates of point h

Answer:

a. Pentagon (The figure has 5 sides.)

b. Triangle (The figure has 3 sides.)

c. Hexagon (The figure has 6 sides.)

d. Hexagon (The figure has 6 sides.)

Step-by-step explanation:

PH