Solve the inequality. Graph the solution -r/3<_6

if the lines are parallel the slopes are the same so the slope is -2

the equation for a line given a point and a slope is

y-y1 = m(x-x1)

y-3= -2(x-4)

y-3 = -2x+8

y = -2x+11

The full recipe for the banana oat muffins requires 3/4 (or 0.75) cups of old fashion oats. But you are planning to make only 1/3 of the recipe.

To find the amount of oats required for 1/3 of the recipe, we need to multiply the amount required for the full recipe (3/4 cups) by the proportion of the recipe you are making (1/3).

Let's start with the full amount, which is 3/4 cups of oats. Then, we are going to use only 1/3 of this amount. So, we multiply 3/4 by 1/3.

The result of this calculation is 0.25.

So, you will need 0.25 cups of old fashion oats to make 1/3 of the banana oat muffins recipe.

Answer:

2.38% annual interest rate

Step-by-step explanation:

We have the initial value that is $6139 and the final value that is $8,624.97 the initial value is a 100% and the final value is 100%+17x%  where x is the annual interest rate, then:

[tex]\dfrac{8624,97\cdot 100\%}{6139\cdot (100\%+17x\%)}=1[/tex]

[tex]\dfrac{8624,97\cdot 100\%}{6139}=100\%+17x\%[/tex]

[tex]\dfrac{862497\%}{6139}-100\%=17x\%[/tex]

[tex]140.49\%-100\%=17x\%[/tex]

[tex]40.49\%=17x\%[/tex]

[tex]\dfrac{40.49\%}{17}=x\%[/tex]

[tex]2.38\%=x\%[/tex]

To find the interest rate of the account, you can use the formula for continuous compound interest, which is A = Pe^(rt). By plugging in the given values, you can solve for r and find that the interest rate is approximately 1.77%.

To find the interest rate of the account, we can use the formula for continuous compound interest:

A = Pe^(rt)

Where:

Given that Adam invested $6139 and the balance after 17 years is $8624.97, we can plug in these values and solve for r:

8624.97 = 6139 * e^(17r)

Divide both sides of the equation by 6139:

e^(17r) = 8624.97 / 6139

Now, take the natural logarithm (ln) of both sides:

ln(e^(17r)) = ln(8624.97 / 6139)

Use the logarithmic property ln(e^x) = x to simplify the equation:

17r = ln(8624.97 / 6139)

Finally, divide both sides of the equation by 17 to solve for r:

r = ln(8624.97 / 6139) / 17

Using a calculator, we find that the interest rate of the account is approximately 0.0177, or 1.77%.

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8.31 because it goes after the decimal tenth then hundreth the for is in the thousandths

The answer is 8.3 Hope this helps

the ball reaches its maximum height of 15 feet in 2.2 seconds

The ball starts on the ground and travels in a parabolic shape as it reaches a maximum height and then returns to the ground

The ball starts on the ground at 0 seconds so the ball starts at x=0 seconds

the ball reaches its maximum height of 15 feet in 2.2 seconds

So it takes 2.2 second to reach the maximum height

It will take another 2.2 seconds to reach the ground

The time the ball in the air is 2.2 + 2.2 = 4.4

The ball will reach the ground in 4.4 seconds

So the domain for g(x) is {0,4.4}

Answer:

0 ≤ x ≤ 4.4

Step-by-step explanation:

[tex]\{x|x < -5\}\ \cap\ \{x|x > 5\}=\O[/tex]

Look at the picture.

The common part does not exist.

answer : 25.9%

Hilary Hu borrowed $4,500.00 to pay for a viola. She agreed to pay back $5,200.00 in 219 days.

Interest to be paid = 5200 - 4500 = $700

To find the rate we use simple  interest formula

[tex]I =P*\frac{r}{100}*\frac{n}{360}[/tex]

I is the interest

P is the principal amount = 4500

r is the rate of interest

n is the number of days= 219

[tex]700 =4500*\frac{r}{100}*\frac{219}{365}[/tex]

[tex]700 = \frac{985500r}{36500}[/tex]

Multiply by 36500 on both sides

25550000= 985500 r

Divide by  985500

r = 25.92592

so interest rate is approximately = 25. 9%

Final answer:

To determine the value of r for the line to have a slope of 1/3, the slope formula is applied and solved to find that r must be 2.

Explanation:

To find the value of r so that the line through the points (1,4) and (-5,r) has a slope of 1/3, we use the formula for the slope (m) of a line given two points (x1, y1) and (x2, y2): m = (y2 - y1) / (x2 - x1).

Step 1: Insert the known values into the slope formula

Slope (m) = 1/3, x1 = 1, y1 = 4, x2 = -5, y2 = r

1/3 = (r - 4) / (-5 - 1)

Step 2: Solve for r

1/3 = (r - 4) / (-6)
-2 = r - 4
r = 2

Therefore, the value of r is 2 for the line to have a slope of 1/3.

Py +7 = 6y + qp

Solve the equation for y

To solve the equation for y we need to get y alone

Py +7 = 6y + qp

Subtract 6y from both sides

Py - 6y +7 = + qp

Subtract 7 from both sides

Py - 6y = + qp - 7

Now factor out y

(P - 6)y = qp - 7

Divide by P - 6 from both sides

[tex]y =\frac{qp - 7}{(P - 6)}[/tex]

Answer:

y=  p−6 /q−7

​

Step-by-step explanation:

The strategy

Move all y-terms on one side of the equation, and move all constant terms to the other side of the equation.

Using the distributive property, group like terms together on both sides of the equation.

To isolate y, divide both sides by the coefficient of y.

Solving for y

py+7 = 6y+q

py+7 -6y = q

 py-6y= q - 7

y(p-6) = q-7

​

The slope of this line is 1/4, because slope is rise/run. This line rises 1 for every 4 it runs. The slope is positive because the line is moving upward.

I believe it is 360 sorry if i am wrong i truely sorry

A variable can be used to represent an unknown amount. Then you write an equation using the variable and based on the information you are given, and you solve the equation to find the unknown amount.

Here is an example.

Mary has money in a bank account. She received $20 for her birthday. She deposited the $20 in her account. After the deposit, she was told the account had a balance of $85. How much money did she have in the account before depositing the $20?

We don't know the amount she had before depositing the $20, so we will call that amount x. x is a letter used as a variable to represent an unknown amount.

She had x dollars in her account before depositing the $20.

After she deposited the $20, she now has x plus 20, or x + 20.

We are told her account now has $85, so x + 20 must equal 85.

That allows us to write an equation which we can then solve to find the amount of money she had in the account before depositing the $20.

x + 20 = 85

Subtract 20 from both sides.

x + 20 - 20 = 85 - 20

x + 0 = 65

x = 65

Since the variable x represents the amount of money in the account before depositing the $20 birthday money, we can now answer the question.

Mary had $65.

you can use varibales in real life problems by using them to describe the constants

It is B because they show the X variable next to the .50 cents meaning that this can change depending on how many the rider buys in this Equation.

Answer:

no the answer is a $10. i took the usatestprep :)

Step-by-step explanation:

The number of cubic yards of concrete that are needed to fill the sidewalk is 7.40741 cubic yards

where

l = length

w = width

h = height

Therefore,

l = 200 ft

w = 4 feet

h = 0.25 feet

v = 200 × 4 × 0.25

v = 200 ft³

In yards the concrete will fill the following volume:

learn more on cuboid here:https://brainly.com/question/849398?referrer=searchResults

To find the volume of concrete needed for the sidewalk, multiply the length, width, and depth of the sidewalk. Convert the volume from cubic feet to cubic yards by dividing by 27.

To find the volume of concrete needed, we need to multiply the length, width, and depth of the sidewalk. The length is given as 200 feet, the width is 4 feet, and the depth is 0.25 foot. Multiplying these values together gives us the volume in cubic feet. To convert this to cubic yards, we divide the volume in cubic feet by 27 (since there are 27 cubic feet in a cubic yard).

The volume of the sidewalk in cubic feet is 4 ft * 200 ft * 0.25 ft = 200 cubic feet. Dividing this by 27, we get the volume in cubic yards: 200 cubic feet / 27 = 7.41 cubic yards. Therefore, approximately 7.41 cubic yards of concrete are needed for the sidewalk.

$24.80 is the new retail price for the hat

Answer:

$24.8

Step-by-step explanation:

Hello, i think I can help you with  this,you can easily solve this by using a rule of three

Step 1

define

the retail price for the hat will be the originally paid value plus 55%, it is equal to 155% of the original price

if

$16 ⇒100%

$x? ⇒155%

the relation is

[tex]\frac{16}{100}=\frac{x}{155}\\solve\ for\ x \\\frac{155*16}{100}=x\\x=\frac{2480}{100}\\ x=24.8[/tex]

the retail price is $24.8

Have  great day.

Answer:

3 oranges for $1, 6 oranges for $2,and 9 oranges for $3

Step-by-step explanation:

Because the ratio amount of oranges to the amount of money is 3:1 for all three

The required equivalent expressions are 3 oranges for a dollar,  6 oranges for 2 dollars,  and 9 oranges for 3 dollars.

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
Let the number of oranges be x and the cost for x oranges be y,

1. 3 oranges for a dollar  2. 6 oranges for 2 dollars  3. 3 dollars for 1 orange and 4.  9 oranges for 3 dollars

For the equivalent relation, of the given expression,
x₁ / y₁ = x₂ / y₂ = x₃ / y₃ = x₄ / y₄
3 / 1 = 6 / 2 = 1 / 3 = 9 / 3
3 / 1 = 3/1 ≠ 1 / 3 ≠ 3 / 1

Thus, the required equivalent expressions are 3 oranges for a dollar,  6 oranges for 2 dollars,  and 9 oranges for 3 dollars.

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Answer:

Yes, you can use the division property of equality in this equation.

Step-by-step explanation:

This is because we have a variable (x) that is being MULTIPLIED (by 4). The opposite of multiplication is division. Since this is an equation that needs properties of equality to solve the variable, division would be a property of equality being used.

1+7

because when there are two negatives together you turn it into a positive and add

1 + 7

Because two negatives makes a positive. Hope this helps!

[tex]\sqrt{a}=b\iff b^2=a\ for\ a\geq0\ and\ b\geq0\\\\\sqrt{\dfrac{1}{144}}=\dfrac{\sqrt1}{\sqrt{144}}=\dfrac{1}{12}\\\\\\\sqrt1=1\ because\ 1^2=1\\\\\sqrt{144}=12\ because\ 12^2=144[/tex]

for #5: you put the equations equal to each other then combine like terms & you’ll get x=41 & the angles are vertical.

for #6: you add the equations together to equal 180 bc that is the measure of a straight line. once you do so, you combine like terms & x should equal 14. & the angles are adjacent.

Hello AskMeBosh

The missing number in this equation is 7

This is because 9 * 7 is 63

So your answer would be 7

:)

63/7=9 the missing number is 7

The minus signs should be plus signs

0.00961538461

I typed this for 20 characters

There are 11 numbers divisible by 9 between 1 and 100, and 25 numbers divisible by 4 between 1 and 100. So there are 11 + 25 = 36, so 36 numbers divisible by one or the other, but this also includes every number which is divisible by both 9 and 4 twice.

Answer:34

Step-by-step explanation:

I had the answer on khaun academy

Nine plus a unknown number equals unknown.

Answer:

The sum of 9 and a number.

Step-by-step explanation:

Sum = Add.

9 = 9

Number = n

Hope this helps :-)

Bob passed 4 activities, so 4 x 10 = 40 points. He failed 3, so 3 x 5 = 15

Total points = 40-15 = 25 points.

Tom passed 7, so 7 x 10 = 70 points. He failed 4, so 4 x 5  = 20

Total points = 70-20 = 50 points.

Tom got a higher score.