Write a mathematical sentence that expresses the information given below. Use g as your variable name. If necessary:type = to mean .The number of gallons of gas that were in the tank minus 9 leaves 3 gallons.

Answer: If she's willing to calculate within mph, she needs to know a certain distance her brother can run, and how long it takes to run that distance.

Answer:

The 2nd triangle

Step-by-step explanation:

The second triangle satisfies the equation 4² + 4² = C². Then the correct option is B.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as,

H² = P² + B²

The Pythagoras theorem is applied in the right-angle triangle.

In the second triangle, then the third side of the triangle is calculated as,

4² + 4² = C²

The second triangle satisfies the equation 4² + 4² = C². Then the correct option is B.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

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Answer: Jenns account has the greater simple interest rate

Step-by-step explanation: The formula for simple interest is:

Where A is the final amount after investment, P is the initial amount, r is the rate of interest and t is the time periods.

For Lindsey:

Solve for r

Lindsey simple interest was 1.2% annually

For Jenn:

Jenn simple interest was 1.5% annually

Therefore Jenns account has the highest simple interest rate.

Answer:

Gary can go 4.9 miles in 84 minutes.

Step-by-step explanation:

First, you need to determine the amount of hours 84 minutes represent considering that 60 minutes are equal to an hour:

60 minutes → 1 hour

84 minutes →      x

x=(84*1)/60=1.4 hours

Now, 1.4 hours would be the time which is x and you can replace the value on the formula to find y:

y=3.5x

y=3.5(1.4)

y=4.9

According to this, the answer is that Gary can go 4.9 miles in 84 minutes.

Answer:

Angle B is 14 I think, but I am not sure.

Step-by-step explanation:

Answer:

x > 25

Step-by-step explanation:

This question relates to algebra. We can solve this problem by creating a variable for the solution (which we will find). We will link the variable in an equation l with the information given.

So let's translate each piece of information mathematically. First, the question tells us "Three times a number." The first part uses multiplication (times) linked to our number (we will use x for our variable). So we write:

3x

The second part is "increased by twice the number" Increasing is adding (+) so we add two times the number. So:

3x + 2x

The final part says "is greater than 125"  so we need to use the > sign

3x + 2x > 125

Now we can solve by collecting like terms and moving them to a different side.

5x > 125

x > 25

Answer:

Rewriting the equation in the form (x+c)²=d by completing the square

The solutions to the quadratic equation are:

Step-by-step explanation:

Given the equation

[tex]x^2+10x+22=13[/tex]

subtract 22 from both sides

[tex]x^2+10x+22-22=13-22[/tex]

simplify

[tex]x^2+10x=-9[/tex]

Rewriting the equation in the form (x+c)²=d by completing the square

[tex]x^2+10x+5^2=-9+5^2[/tex]

[tex]x^2+10x+5^2=16[/tex]

[tex]\left(x+5\right)^2=16[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

solve

[tex]x+5=\sqrt{16}[/tex]

[tex]x+5=\sqrt{4^2}[/tex]

[tex]x+5=4[/tex]

[tex]x=-1[/tex]

also solving

[tex]x+5=-\sqrt{16}[/tex]

[tex]x+5=-4[/tex]

[tex]x=-9[/tex]

Therefore, the solutions to the quadratic equation are:

[tex]x=-1,\:x=-9[/tex]

Answer:

For 3 different values of x

Step-by-step explanation:

Here, we want to get the values of x for which

√(48/x) is a whole number

We have to consider that the values of x that will make the expression a whole number must be less than or equal to 48

Also, we have to consider that, the division we have to make must yield a perfect square so as to have a whole number square root

The factors of 48 that can yield a whole number are;

1,2,3,4,6,8,12,16,24 and 48

However, the divisions that can yield a perfect square are

3 (yield 16)

12 ( yield 4)

48 ( yield 1)

So the numbers of the value of x that can yield a whole number is 3

Answer:

B: 3

Step-by-step explanation:

edg 2020

Answer: (1,1) (2,2)

Step-by-step explanation: got it right on edg

Answer:

C. (1,1)

E. (2, 2)

Step-by-step explanation:

Answer:

y =  [tex]\frac{1}{3}[/tex] x - 3 ⇒ 3rd answer

y =  [tex]\frac{1}{3}[/tex] x + 7 ⇒ 4th answer

y =  [tex]\frac{1}{3}[/tex] x + 3.63917 ⇒ 6th answer

y =  [tex]\frac{1}{3}[/tex] x ⇒ 8th answer

Step-by-step explanation:

The product of the slopes of the perpendicular lines is -1

The form of the linear equation is y = m x + b, where

∵ The equation of the given line is y = -3x + 2

→ Compare it with the form of the equation above

∴ m = -3

→ To find the slope of the perpendicular line to it reciprocal it and

    change its sign

∴ The slope of the perpendicular line to it is = [tex]\frac{1}{3}[/tex]

→ Choose all the equations that have m = [tex]\frac{1}{3}[/tex]

∴ y =  [tex]\frac{1}{3}[/tex] x - 3 ⇒ 3rd answer

∴ y =  [tex]\frac{1}{3}[/tex] x + 7 ⇒ 4th answer

∴ y =  [tex]\frac{1}{3}[/tex] x + 3.63917 ⇒ 6th answer

∴ y =  [tex]\frac{1}{3}[/tex] x ⇒ 8th answer

Answer:

It is used to find a side of a triangle.

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

Remember : This only works in Right angled triangles.

Answer:

The red one

Step-by-step explanation:

From the first graph we knows it will not be the blue or yellow, from the second one we will know it’s not the green one, count and put how many square as y and figure1/2/3as x.

Answer:

I also think its option 3

Step-by-step explanation:

Answer:

neither.

Step-by-step explanation:

option 3!

Answer:

3/8

Step-by-step explanation:

If 1/4 is equaled to 1. This is 1 dived by 4 to get the 1/4.

Then 1.5 would be divided by 4 to get 3/8

Answer:

Step-by-step explanation:

Answer:

The temperature of both appliances is 70° after 6 hours.

At 6 hours, both temperatures will be equal

Step-by-step explanation:

Equations

Let's call

T1 = Temperature inside of the refrigerator

T2 = Temperature inside of the oven.

x  =  Time in hours elapsed since the power goes out.

We know the temperature of the refrigerator rises at 5° per hour. Thus the function that models its temperature is:

T1 = 40 + 5x

We are also given the oven temperature drops by 45° per hour, thus:

T2 = 340 - 45x

a) Find the value of x for both temperatures to be the same.

We equal T1 and T2:

40 + 5x = 340 - 45x

Adding 45x

40 + 5x + 45x = 340

Subtracting 40:

5x + 45x = 340 - 40

Operating:

50x = 300

x = 300/50

x = 6

At 6 hours, both temperatures will be equal

b)

The common temperature can be found by substituting x in any function:

T1 = 40 + 5x = 40 + 5(6) = 40 + 30 = 70

T2 = 340 - 45x = 340 - 45(6) = 70

The temperature of both appliances is 70° after 6 hours.

Answer:

5^2

Step-by-step explanation:

5^3-10^2= 25/ 125-100=25

5^2=25

Simplify the expression.

2m

Answer:5

Step-by-step explanation:

The base angle is 70 degrees

For an isosceles triangle, we have:

Vertex angle + 2 * Base angle = 180

This gives

40 + 2 * Base angle = 180

Subtract 40 from both sides

2 * Base angle = 140

Divide both sides by 2

Base angle = 70

Hence, the base angle is 70 degrees

Read more about isosceles triangle at:

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

Multiply sides by 2

[tex]2 \times y = 2 \times ( \frac{1}{2} x + 1) \\ [/tex]

[tex]2y =( 2 \times \frac{1}{2} x) + (2 \times 1) \\ [/tex]

[tex]2y = x + 2[/tex]

[tex]x + 2 = 2y[/tex]

Subtract sides 2

[tex]x + 2 - 2 = 2y - 2[/tex]

[tex]x = 2y - 2[/tex]

Done...

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Answer:

Step-by-step explanation:

Question: y = 1/2x + 1

Given:

equation: y = 1/2x + 1

Unknown:

Equation in x = ?

1. Move the x variable to the side that the y is on.

y = 1/2x + 1

-1/2x -1/2x

2. Move the y to the side of the y-intercept

y - 1/2x = 1

-y - y

3. Divide both sides by -1/2 or multiply by -2

-1/2x = -y + 1

*-2 -2(-y + 1)

Hope it helped,

Kavitha Banarjee

Answer:

What problem do you need help with.

Answer:

24 candy bars

Step-by-step explanation:

3 = $2.17

x = $17.36

cross-multiplying, we have;

x = (17.36 × 3)/2.17

x = 24

Therefore, you can buy 24 candy bars

9514 1404 393

Answer:

  f(t) = 17.5cos(π(t-7)/6) +59

Step-by-step explanation:

When modeling earth data that has a daily or annual cyclic variation, the simplest sort of model is a sine or cosine function of some sort. Generally, its period will be 1 day or 1 year (or about 1/2 day, if you're modeling tides).

To write the trig function, you need to know ...

These values will go into the general form ...

  f(t) = A·cos(2π(t -C)/B) +D

__

In this particular form, the cosine function has a value of 1 when t=C, so we can choose C to be the value of t where f(t) is a maximum. In your data table, the maximum temperature is in July, where you have said t=7. So, C=7.

The period is 12 months, so B=12.

The amplitude (A) is half the difference between the minimum and maximum:

  A = (76.5 -41.5)/2 = 17.5

The offset (D) is the average of the maximum and minimum:

  D = (76.5 +41.5)/2 = 59

__

Using these values in the above form, we have ...

  f(t) = 17.5cos(2π(t-7)/12) +59

__

Additional comments

You can see in the attachment that we have matched the maximum and minimum values exactly. A more sophisticated model is needed to adjust the function to match more of the data points.

Or, you may get a slightly better match if you use a sine regression model (least-squares best fit). That sort of modeling is best done using a graphing calculator or spreadsheet. The details are beyond the scope of this answer.

Answer:

[tex]x=2, y=3[/tex]

Step-by-step explanation:

Given equations:

[tex]10x-7y=-1[/tex]

[tex]-2x-7y=-25[/tex]

We can subtract the two equations from each other to eliminate [tex]y[/tex] to solve for [tex]x[/tex]:

[tex]10x-7y-(-2x-7y)=-1-(-25)[/tex]

[tex]10x-7y+2x+7y=-1+25[/tex]

[tex]12x=24[/tex]

[tex]x=2[/tex]

Now, we can use substitution to solve for [tex]y[/tex]:

[tex]10x-7y=-1[/tex]

[tex]10(2)-7y=-1[/tex]

[tex]20-7y=-1[/tex]

[tex]7y=21[/tex]

[tex]y=3[/tex]

∴ [tex]x=2, y=3[/tex]

Hope this helps :)

Answer:

16.5 pages

Step-by-step explanation:

Number of pages Ingrid types = 3

Number of pages Tanya types = 4.5

The proportion to find how many pages Tanya would have typed (x), if Ingrid typed 11 pages would be as follows:

3 : 4.5 = 11 : x

Thus:

[tex] \frac{3}{4.5} = \frac{11}{x} [/tex]

Cross multiply

[tex] 3*x = 11*4.5 [/tex]

[tex] 3x = 49.5 [/tex]

Divide both sides by 3

x = 16.5 pages