Express each ratio as a fraction in the simplest form
12 blue cars out of 48 cars

Answer:

25

Step-by-step explanation:

so 9.9 ounce bag of takis

9.9/0.396=25

Answer:

Line ____        Ear

Answer:    $16.65

Step-by-step explanation:3.7*$4.50=$16.65

Answer:

x = ± 2

Step-by-step explanation:

Given

3x² = 12 ( divide both sides by 3 )

x² = 4 ( take the square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

Answer:

2. 18x + 24

Step-by-step explanation:

Distribute the 6 to create 18x + 24

Answer:

[tex]f(x)=x^2+3x+2[/tex]

Step-by-step explanation:

We want to write the equation of a quadratic whose graph passes through (-3, 2), (-1, 0), and (1, 6).

Remember that the standard quadratic function is given by:

[tex]f(x)=ax^2+bx+c[/tex]

Since it passes through the point (-3, 2). This means that when [tex]x=-3[/tex], [tex]f(x)=f(-3)=2[/tex]. Hence:

[tex]f(-3)=2=a(-3)^2+b(-3)+c[/tex]

Simplify:

[tex]2=9a-3b+c[/tex]

Perform the same computations for the coordinates (-1, 0) and (1, 6). Therefore:

[tex]0=a(-1)^2+b(-1)+c \\ \\0=a-b+c[/tex]

And for (1, 6):

[tex]6=a(1)^2+b(1)+c\\\\ 6=a+b+c[/tex]

So, we have a triple system of equations:

[tex]\left\{ \begin{array}{ll} 2=9a-3b+c &\\ 0=a-b+c \\6=a+b+c \end{array} \right.[/tex]

We can solve this using elimination.

Notice that the b term in Equation 2 and 3 are opposites. Hence, let's add them together. This yields:

[tex](0+6)=(a+a)+(-b+b)+(c+c)[/tex]

Compute:

[tex]6=2a+2c[/tex]

Let's divide both sides by 2:

[tex]3=a+c[/tex]

Now, let's eliminate b again but we will use Equation 1 and 2.

Notice that if we multiply Equation 2 by -3, then the b terms will be opposites. So:

[tex]-3(0)=-3(a-b+c)[/tex]

Multiply:

[tex]0=-3a+3b-3c[/tex]

Add this to Equation 1:

[tex](0+2)=(9a-3a)+(-3b+3b)+(c-3c)[/tex]

Compute:

[tex]2=6a-2c[/tex]

Again, we can divide both sides by 2:

[tex]1=3a-c[/tex]

So, we know have two equations with only two variables:

[tex]3=a+c\text{ and } 1=3a-c[/tex]

We can solve for a using elimination since the c term are opposites of each other. Add the two equations together:

[tex](3+1)=(a+3a)+(c-c)[/tex]

Compute:

[tex]4=4a[/tex]

Solve for a:

[tex]a=1[/tex]

So, the value of a is 1.

Using either of the two equations, we can now find c. Let's use the first one. Hence:

[tex]3=a+c[/tex]

Substitute 1 for a and solve for c:

[tex]\begin{aligned} c+(1)&=3 \\c&=2 \end{aligned}[/tex]

So, the value of c is 2.

Finally, using any of the three original equations, solve for b:

We can use Equation 3. Hence:

[tex]6=a+b+c[/tex]

Substitute in known values and solve for b:

[tex]6=(1)+b+(2)\\\\6=3+b\\\\b=3[/tex]

Therefore, a=1, b=3, and c=2.

Hence, our quadratic function is:

[tex]f(x)=x^2+3x+2[/tex]

Answer:

C

Step-by-step explanation:

This is called the hinge theorem, where you find out if an angle is small or big. first, you draw a triangle out and label it. when you finish this you can go and find the smallest side. The angle across from the side will be the smallest. In this problem, the smallest is <H, but that answer is not on there. So you can go and find the largest side and then the angle across from it will be the biggest, which is <G. Since the only thing, the question is asking for is "which statement is true", you can put C because <G is the biggest.

Answer:

f = 10·√3/3 ≈ 5.774

d = 5·√3/3 ≈ 2.887

Step-by-step explanation:

The given parameters are;

The angles opposite the 90°, right angle, = 60° and 30°

The length of the leg opposite the 60° angle = 5

Therefore, by Pythagorean Theorem, we have;

f² = d² + 5²

However, by trigonometry, we have;

sin(θ) = Opposite/Hypotenuse

For the angle of the triangle, θ = 30°, we have;

sin(30°) = d/f = 0.5

∴ d = f × 0.5 = 0.5·f

Substituting the value of d in the equation given by Pythagorean Theorem, we have;

f² = (0.5·f)² + 5² = 0.25·f² + 5²

f² = 0.25·f² + 5²

f² - 0.25·f² = 5²

0.75·f² = 5²

f² = 5²/0.75 = 100/3

f = 10/√3 = 10·√3/3

f = 10·√3/3

d = f × 0.5 = 10·√3/3 × 0.5 = 5·√3/3

d = 5·√3/3.

Answer:

14... since all of it is equal

Step-by-step explanation:

Answer:

the last triangle

Step-by-step explanation:

the pythagorean theroem only works for right triangles. a right triangle is a triangle that has a 90 degree angle it the last one is the only one. so its d

pls mark branilest

Answer:

m∠VUS = 122

Step-by-step explanation:

m∠TUX = 122°

∴m∠VUS = 122°(vertically opposite angles are equal)

hope this helps you!!

The solution is, m∠VUS = 122

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

here, we have,

from the diagram, we get,

m∠TUX = 122°

∴m∠VUS = 122°

(vertically opposite angles are equal)

Hence, The solution is, m∠VUS = 122.

To learn more on angle click:

brainly.com/question/28451077

#SPJ2

Answer:

6

Step-by-step explanation:

Answer: 35.

Step-by-step explanation: The parenthesis with no operation in between is multiplication. double negative makes a positive so its 7 times 5 which is 35.

Answer:

Hi, don't worry, I am not one of those persons who want to answer just because of points. Please look in the chat. Brainliest please...

Step-by-step explanation:

Answer:

What's the question?

Answer:

Step-by-step explanation:

Multiply the members of the revenue equation by 2:

system%28a%2Bs%2Bc=278%2C12a%2B7s%2B5c=2600%2Ca=2s-10%29

Three linear equations in three unknowns. Solve.

Answers:

Yes the data can be modeled with a linear equation.

Processing fee = 42 dollars; Daily fee = 102 dollars

Max number of days you can rent house = 11 days

========================================================

Explanation:

Part 1

Let

x = number of days

y = total cost in dollars

Note how each time x goes up by 2, y goes up by 204 (since 450-246 = 204). This consistent pattern directly tells us we have a linear equation going on. The next section goes into more detail.

--------------------

Part 2

The daily fee is directly tied to the pattern mentioned earlier. We have the cost going up by $204 each time 2 days go by. So the daily fee is 204/2 = 102 dollars per day.

You could also use the slope formula with say the first two columns of the table

m = (y2-y1)/(x2-x1)

m = (450-246)/(4-2)

m = 204/2

m = 102

This confirms the daily fee is $102.

You can use any two columns of the table that you want to get the slope. It doesn't have to be the first two columns.

Now use (x,y) = (2,246) along with m = 102 to find the y intercept. Like before you can use any column you want to form the (x,y) value.

y = mx+b

246 = 102*2+b

246 = 204+b

246-204 = b

42 = b

b = 42

The equation is y = 102x+42. The initial processing fee is $42. If you stayed at the house for x = 0 days, you still have to pay the fee y = 42.

--------------------

Part 3.

Plug in y = 1200 and solve for x

y = 102x+42

1200 = 102x+42

1200-42 = 102x

1158 = 102x

102x = 1158

x = 1158/102

x = 11.3529411764706

x = 11

We round down to the nearest whole number. This way we clear the hurdle.

Note that if x = 11, then,

y = 102x+42

y = 102*11+42

y = 1164

which is under the $1200 budget

In contrast, plugging in x = 12 leads to

y = 102x+42

y = 102*12+42

y = 1266

which is over the 1200 dollar budget. This shows that x = 11 is the max number of days you can rent the house.

Answer:

7x+4y+1

Don’t low if you wanted it simplified

Answer:

3x + 4y + 5

Step-by-step explanation:

3(x + y) + 2 • 2 + (1 + y)

3x + 3y + 2 • 2 + (1 + y)

3x + 4y + 4 + 1

3x + 4y + 5

Answer

i'm not sure 2?'??????????

Answer:

There is no solution because they are not equal

Step-by-step explanation:

3(x + 4) = 3(x - 5) cannot simply happen, as they are not equal.

Hope this helps!

Answer:

can you expand on what you're talking about?

Answer:

Question isn't complete dude ...

Answer:

10 bins needed approximately

Step-by-step explanation:

Total door knobs = 183

Round door knobs = 95

Square door knobs = x

Total door knobs = Round door knobs + Square door knobs

183 = 95 + x

183 - 95 = x

88 = x

Square door knobs = x = 88

If he wants to place 9 square doorknobs in each bin, about how many bins would he need?

Divide total square knobs by square knobs in each bin

Total bins needed = Total square knobs / knobs in each bin

= 88 / 9

= 9.78

Approximately 10 to the nearest number of bins

Bins needed is approximately 10

Answer:

Subtraction is the Addition of the opposite of the subtrahend to the minuend.

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

m∠BEF = 65.3°

Step-by-step explanation:

Given:

m∠DEB = 27.2,

m∠DEF = 92.5

Required:

m∠BEF

SOLUTION:

Since B is the interior of ∠DEF, it means ∠DEB and ∠BEF are adjacent angles that make up ∠DEF. And they share the same side, BE.

Therefore:

m∠BEF + m∠DEB = m∠DEF (angle addition postulate)

m∠BEF + 27.2 = 92.5

Subtract 27.2 from each side

m∠BEF + 27.2 - 27.2 = 92.5 - 27.2

m∠BEF = 92.5 - 27.2

m∠BEF = 65.3°

Answer:

92.5 and 27.2 and 65.3 will be the answer.

Answer:

I'ma say 440 sorry if I'm wrong

Step-by-step explanation:

Answer:

(2,-3)

Step-by-step explanation:

When they intersect it called a solution

Hope its right

15 . i think tight angle triangle

18. isosceles

Answer:

13) Scalene

14) Iscosceles

15) Right

16) Scalene

17) Iscosceles

18) Right

Pretty simple explanations:

Iscosceles: 2 sides equal 1 side not, 2 angles congruent

Scalene: all sides and angles not congruent

Right: has a right angle in its legs

Consider Brainliest! Hope I helped!

Answer:

B

Step-by-step explanation:

Answer:

the option for ur question is b

Answer:

42in

Step-by-step explanation:

just took quiz

Answer:

42 100% edg

Step-by-step explanation:

as we can see form the digram if you put it in a more relistic way 42 would dend up there for 42

Answer:

The first one is right

Step-by-step explanation: