DeSean is sorting his toy car collection. ⅔ of the cars are sports cars. ¼ of the remaining toys are pick up trucks. All of the other toy vehicles are fire trucks. What fraction of the toys are fire trucks? If DeSean has 3 fire trucks, how many toys does he have in his entire toy car collection?

Answer:

The interest earned in 9 months is $25.45284

Step-by-step explanation:

The interest rate given by the bank = 4%

The rate at which the interest is applied = Quarterly

The amount of money deposited = $840

The formula for compound interest is given as follows;

\(Compound \ interest = P \times \left [ \left(1 + \dfrac{r}{n} \right )^{t \times n} - 1\right ]\)

Where;

P = The principal = $840

r = The rate = 4% = 0.04

n = The number of times the interest is compounded per period  = quarterly = 4

t = The time duration in period = 9 months = 3/4 × 1 year

Substituting the values gives the Compound interest C.I. as follows;

\(C.I. = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{\dfrac{3}{4} \times 3} - 1\right ] = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{ 3} - 1\right ] = \$ 25.45284\)

The interest earned in 9 months = $25.45284.

the range in this set of data is 25 inches. To find the range of snowfall amounts, we need to look at the line plot and identify the highest and lowest amounts of snowfall that were recorded.

The range in a set of data is the difference between the maximum and minimum values in the set.

To find the range of snowfall amounts, we need to look at the line plot and identify the highest and lowest amounts of snowfall that were recorded.

Let's say that the highest amount recorded was 30 inches and the lowest amount recorded was 5 inches. Then the range would be:

range = highest amount - lowest amount

range = 30 - 5

range = 25

Therefore, the range in this set of data is 25 inches.

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Answer:

2 fruit baskets each containing 10 apples and 3 oranges

Step-by-step explanation:

This is a greatest common factor question (GCF).

The greatest common factor of 20 and 6 is 2.

So the largest number of identical baskets with none left over is 2.

20/2 = 10 apples in each basket and 6/2 = 3 oranges in each basket.

Answer:

I hope the image helps!

Answer:

P = ( 4x² - 3x + 53 ) units

Step-by-step explanation:

This is an expression, not an equation or a system of equations. It represents a linear function in terms of x, where y is equal to 5x-3.

Answer:

cars= 32 , trucks= 55

Step-by-step explanation:

add all the cars up then the trucks

Distributive property states that a(b+c) = ab + ac.

Using distributive property, we can simplify the left side of the equation as follows:

-0.2(x-20) = -1.7

-0.2x + 4 = -1.7 (distribute -0.2 to x and to -4)

-0.2x = -5.7 (subtract 4 from both sides)

x = 28.5 (divide both sides by -0.2)

Therefore, the correct method to solve the equation using distributive property is:

-0.2(x-20) = -1.7

-0.2x + 4 = -1.7

-0.2x = -5.7

x = 28.5

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Answer:

n = 100

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

given A = 40π , then

πr² × \(\frac{n}{360}\) = 40π

π × 12² × \(\frac{n}{360}\) = 40π

144π × \(\frac{n}{360}\) = 40π ( divide both sides by π )

144 × \(\frac{n}{360}\) = 40 ( multiply both sides by 360 to clear the fraction )

144n = 14400 ( divide both sides by 144 )

n = 100

(a) The four names used to refer to lift coefficient (CL) as a function of drag coefficient (CD) are as follows:drag polar-lift/drag polar equilibrium polar polar diagram

(b) The following are the shapes of the lift coefficient curve as a function of the drag coefficient:Figure: Typical lift coefficient curve as a function of the drag coefficient.The flap setting affects the lift coefficient as well as the drag coefficient. Flaps improve the efficiency of the wing by increasing its lift. The curve is shifted to the right by an increase in the flap angle of attack αf. Because the total angle of attack is equal to the sum of the flap angle and the main wing angle of attack α, the increased lift coefficient leads to a lower main wing angle of attack α. It results in a lower drag coefficient.

(c) When the flow is steady, the angle of attack α is the sole parameter that determines the lift and drag coefficients. At an angle of attack α0, the lift coefficient reaches its maximum value, after which it begins to drop. As a result, the angle of attack α0 is referred to as the angle of attack for maximum lift. At α=α0, there is no ambiguity in determining the lift coefficient CL and drag coefficient CD.

(d) The equation for maximum climbing rate (CR) is given by:CR = (CL / CD) * (1 / V) * [(T / W) - CD]where T is the available thrust, W is the weight of the aircraft, and V is the velocity.The equation for maximum gliding ratio (GR) is given by:GR = (1 / CD) * sqrt (2 * (CL / CD) * (W / S))where S is the wing surface area.  The above equations are based on the parabolic approximation to the lift coefficient and are only valid for a particular flight altitude and configuration.

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The answer is, the expression that is equivalent to -1/4 [12x +0.2[12x + 8x]] is -8.1x.

To start solving this problem, we need to use the distributive property to simplify the expression inside the brackets.

We can first multiply 0.2 by 12x, which gives us 2.4x. Then, we can add that to 8x, which gives us a simplified expression of 20.4x.

Now, we can substitute this simplified expression back into the original expression and use the distributive property again. We have:

-1/4 [12x + 20.4x]

We can combine the like terms inside the brackets to get:

-1/4 [32.4x]

Finally, we can simplify this expression by multiplying -1/4 by 32.4x. We have:

-8.1x

Therefore, the expression that is equivalent to -1/4 [12x +0.2[12x + 8x]] is -8.1x.

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Answer:

D i think

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

The standard error (SE) of a statistic (usually an estimate of a parameter) is the standard deviation of its sampling distribution.

Formula of the standard error of the means is standard deviation divided by square root of the sample size.

SE = δ/√n

This formula also gives the standard deviation of the sample means.

The answer is standard deviation of the sample (B).

For example, "The notation for standard error can be any one of SE, SEM (for standard error of measurement or mean)."

Answer:

Step-by-step explanation:

Together, 2 apples have 1/5 gram of fat. How many apples have a total of 4 grams?​

so 1 apple has 1/10 gram of fat

10 apples = 1 gram of fat

10 * 4 = 40 apples have a total of 4 grams

Answer:

From top to bottom:

Slope intercept Equation: \(y = \frac{3}{4} x+2\)   \(y=3x-2\)

Slope: 4    2

Y-int: (0,-2)  (0,10)

Step-by-step explanation:

Answer:

$2.25 is the discounted price for each gallon.

Step-by-step explanation:

So you take 40% and convert it into decimal form, which is 0.4. Then you take $3.75 x 0.4 = 1.5. Then subtract $1.50 from $3.75, and that equals $2.25 each gallon.

Have a nice day!

Answer:

  7

Step-by-step explanation:

You want the common difference of the arithmetic sequence that starts ...

  15, 22, 29, ...

The common difference is the difference between a term and the one before. It is "common" because the difference is the same for all successive term pairs.

  22 -15 = 7

  29 -22 = 7

The common difference is 7.

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According to the given information in the question, by observing the frequency of occurrence there are more philosophers than mathematicians.

The frequency of a particular data is the frequency with which the data value occurs. Denote the frequency of the data values ​​by f.

For example, if 5 students got an A in science, the grade A has a count of 5. 

It gives researchers an easy overview of the entire data. Indicates whether the observations are high or low and whether they are concentrated in one region of her or dispersed across the scale. 

Frequency is a number that indicates how often a particular item appears in a particular data set. There are two types of frequency tables: clustered frequency distributions and unclustered frequency distributions. You can display your data using charts such as histograms, bar charts, frequency polygons, etc. 

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Answer: 7 dollars 18 cents.

Step-by-step explanation:

The inequality 3 ≤ x - 2 simplifies to x ≥ 5. This means x can take any value greater than or equal to 5. Therefore, option (E) with a number line from positive 5 to positive 10 is correct.

Given: 3 \(\leq\) x - 2

We need to work out which number line below shows the values that x can take. In order to solve the inequality, we will add 2 to both sides. 3+2 \(\leq\) x - 2+2 5 \(\leq\) x

Now the inequality is in form x \(\geq\) 5. This means that x can take any value greater than or equal to 5. So, the number line going from positive 5 to positive 10 shows the values that x can take.

Therefore, the correct option is (E) A number line going from positive 5 to positive 10.  We added 2 to both sides of the given inequality, which gives us 5 \(\leq\) x. It shows that x can take any value greater than or equal to 5.

Hence, option E is correct.

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Answer:

Step-by-step explanation:

Part A

Variable 1: x

Variable 2: y

Equation: x + y = 23

Part B

21,2

11,12

10,13

This is all I know.

The number of pounds of grapes is 24 sold and the number of pounds of apples sold is 30.

Given that,

Apples and grapes are sold at Arianys' farm stand. The price per pound for apples is $4 while the price per pound for grapes is $3.75. 64 pounds of apples and grapes were sold for a total profit of $251.75 for Arianys.

We have to find the number of the sold apples and pounds of grapes should be calculated.

a declaration that two mathematical expressions' values are equal (represented by the symbol =).

We get the equations as,

3.75x+4y=251.75

y=-0.93x+62.93---->equation(1)

x+y=64

y=-x+64------>equation (2)

We get the points as

For equation (1),

(0,62.93) and (67.66,0)

For equation (2),

(0, 64) and (64,0)

If we draw a graph we get 2 lines intersect at a point (24, 30).

Therefore, The number of pounds of grapes is 24 sold and the number of pounds of apples sold is 30.

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We will have that the solution is given by:

So, the answer is option 2.

***

The gradient vector field of f(x, y, z) = \((x^2 + y^2 + z^2)^(^1^/^2^)\) is given by ∇f(x, y, z) = (x/√\((x^2 + y^2 + z^2)\), y/√\((x^2 + y^2 + z^2)\), z/√\((x^2 + y^2 + z^2))\).

The gradient vector field of a function represents the direction and magnitude of the steepest ascent of the function at any given point. For the function f(x, y, z) = \((x^2 + y^2 + z^2)^(^1^/^2^)\), we can find its gradient vector field (∇f) by taking the partial derivatives of the function with respect to each variable (x, y, z) and composing them into a vector.

In this case, the gradient vector field is (∇f(x, y, z) = (x/√\((x^2 + y^2 + z^2)\), y/√\((x^2 + y^2 + z^2)\), z/√\((x^2 + y^2 + z^2))\). Each component of the gradient vector represents the rate of change of the function with respect to its corresponding variable. By evaluating the gradient vector field at a specific point, we can determine the direction in which the function increases most rapidly.

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he needs to sell more than 3 surfboards.

Here just solve the linear equation:

250 + 75x = 500

Subtract 250 in both sides:

75x = 500 - 250 = 250

Dicide by 75:

x = 250/75

x = 3.333...

So he needs to sell more than 3 surfboards.

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a) Total interest = $220

b) percent interest for the total deposited is 4.4%

a) Let account A: 2% interest per year

Amount deposited = $2000

simple interest on the deposit = rate × amount deposited

simple interest on account A = 2% × 2000

let account B: 6% interest per year

Amount deposited = $3000

simple interest on account B = 6% × 3000

Total interest at the end of year 1:

b) Percent interest for the total deposited:

Total deposited = $2000 + $3000 = $5000

Answer: x⁶y¹⁵

Step-by-step explanation:

(x²y⁵)

(x²)³ (y⁵)

xx⁶y¹⁵