What times 3 equals 1000

By answering the question the answer is Therefore, landscapers should equation use 35 gallons of an 80% pesticide solution.

In mathematics, an equation is a statement that two expressions are equal. The equation consists of her two sides divided by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the statement "2x + 3" equals the value "9". The goal of solving an equation is to find the values ​​of the variables to make the equation true. Simple or complex equations, regular or nonlinear, and equations involving one or more factors are all possible. For example, the expression "\(x2 + 2x - 3 = 0\\\)" squares the variable x. Lines are used in many areas of mathematics, including algebra, calculus, and geometry.  

Let's say a landscaper needs to use x gallons of an 80% pesticide solution.

The amount of pesticide for an 80% solution is 0.8 x gallons and the amount of pesticide for a 30% solution is 0.3 (35) = 10.5 gallons.

After mixing the two solutions, the total amount of pesticides in the mixture is 0.8 x + 10.5 gallons and the total volume of the mixture is x + 35 gallons.

Since we need a 55% pesticide solution, we can set the following formula:

\(0.8x10.5 0.55(x+35)0.8x10.5 0.55x+19.250.25x = 8.75x = 35\)

Therefore, landscapers should use 35 gallons of an 80% pesticide solution.

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Answer:

Slope = 2

Y intercept = 4

Step-by-step explanation:

This is of the form y = mx + k

where m is the slope

K = y intercept

Hello! (:

y=2x+4

This equation is written in slope-intercept form:

y=mx+b

m is the slope (2) and b is the y-intercept (4)

Hope it helps!

If you have any question or query, feel free to ask! (:

~An excited gal

\(SparklingFlower\)

50 feet is the lengths of the sides of the rectangular field .

What do you mean by rectangular?

Let x represent the length of the fence and y represent the width of the fence.

Since the area is 3750, hence:

Area = length * width = x * y

3750 = xy

y = 3750/x

A fence divide the field in half and is parallel to one of the sides of the rectangle. Hence:

Amount of fencing needed (P) = x + x + y + y  + y = 2x + 3y

Amount of fencing needed (P) = 2x + 3(3750/x) = 2x + 11250/x

To minimize the amount of fencing needed, dP/dx = 0, hence:

dP/dx = 2 - 11250/x²

2 - 11250/x² = 0

2 = 11250/x²

2x² = 11250

x² = 5625

x = 75 feet

y = 3750/x =  3750/75 = 50 feet

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Answer:

(6, 4)

Step-by-step explanation:

R(2,4)=(2+4, 4)=(6, 4)

answer

explanation

(6,4)

The local company conducted a sample survey to assess the borrowing behavior of their employees who have a 401(k) retirement plan. The national proportion of employees who borrowed against their 401(k) in the last year was 20%.

In order to determine if the local company's proportion of employees who borrowed against their 401(k) plan differs significantly from the national proportion of 20%, a hypothesis test can be performed.

The null hypothesis (H0) assumes that the local proportion is equal to the national proportion, while the alternative hypothesis (Ha) suggests that they are not equal. Using the sample data, the proportion of employees in the local company who borrowed is calculated as 24/130 ≈ 0.1846 or 18.46%.

A two-proportion z-test can be employed to compare the proportions. By comparing the test statistic (z-score) obtained from the sample data to the critical value(s) associated with the desired level of significance (e.g., 0.05), the decision can be made to either reject or fail to reject the null hypothesis.

Performing the hypothesis test will determine if the local company's proportion of employees who borrowed against their 401(k) significantly differs from the national proportion. This analysis helps the company assess whether the borrowing behavior in their organization deviates from the national trend and provides insights for potential adjustments or interventions if needed.

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Step-by-step explanation:

1. x+6=93

x=93-6

x=87

2. 4x +15 =29

4x =29-15

4x=14

x=14/4

x=3.5

3. x+9 =53

x=53-9

x=44

4. 2(x+5)=18

2x+10 =18

2x=18-10

2x=8

x=8/2

x=4

Answer:

126

Step-by-step explanation:

The area of the top triangle is (6)(6)/2 = 18 square meters.

The area of the bottom rectangle is (9)(12)=108 square meters.

Adding these, we get the total area to be 126 square meters.

Answer:

18 miles from the airport

Answer:

18

Step-by-step explanation:

30-3=27 divided by 1.50=18

Answer:

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.

Step-by-step explanation:

Answer:

-1/14

Step-by-step explanation:

The given points are

The slope will be the difference of ordinate divided by difference of absicca .

> m = 2-1/-17+3

> m =1/-14

> m = -1/14

The given exponential function represents decay since the base (0.13) is less than 1. And the percentage decrease of 91.68%.

The percentage rate of the decrease can be determined by taking the base and subtracting it from 1 and then multiplying the result by 100. Mathematically, this can be expressed as (1 - 0.13)*100 = 87%. To illustrate this mathematically, let's assume that the initial value of y is 100. We can then calculate the value of y after one time period (t) as follows: y = 64(0.13)t.

Plugging in t = 1, we get y = 64(0.13) = 8.32. This means that the value of y has decreased by (100 - 8.32) = 91.68, or a decrease of 91.68%. Dividing this by the initial value of 100 gives us a percentage decrease of 91.68%/100 = 0.9168 or 91.68%.

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Although part of your question is missing, you might be referring to this full question: On a map, the scale is inches/miles = 1/75. Going from home to the first destination is 1.5 inches, and then from there to the next destination is 2.25 inches. How many miles were travelled?

281.25 miles were travelled.

The distances travelled in inches need to be added.

1.5inches + 2.25inches = 3.75 inches

Let y be the number of miles. Thus, the proportion for the given situation is,

1/75 = 3.75/y

In the next step, it needs to be cross-multiplied,

1×y = 3.75×75

Thus,

y = 281.25

So, 281.25 miles were travelled.

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The price of one donuts, if you can buy 6 donuts and two kolaches for $8.84 and one kolache and 4 donuts would cost $5.36 is  $0.94.

Let's represent the price of one donut with "d" and the price of one kolache with "k". Then we can write two equations based on the information given:

6d + 2k = 8.84 (equation 1)

4d + 1k = 5.36 (equation 2)

We can use equation 2 to solve for k:

k = 5.36 - 4d

Now we can substitute this expression for k into equation 1:

6d + 2(5.36 - 4d) = 8.84

Simplifying and solving for d:

6d + 10.72 - 8d = 8.84

2d = 1.88

d = 0.94

Therefore, the price for one donut is $0.94.

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Answer:

the variable is 9x

Step-by-step explanation:

First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

Answer:

Levon attempted

96 throws in 12

minutes.

Step-by-step explanation:

1 min= 8 throws

8x12=96 or

10 min= 80 throws  2 min=16 throws

80+16=96

The statement that describes independent events is:

C. You randomly draw a blue marble from a bag, return the marble, and then randomly draw a yellow marble.

In this case, the events of drawing a blue marble and drawing a yellow marble are independent because the first draw does not affect the probability or outcome of the second draw.

Returning the marble to the bag ensures that each draw is independent of the previous one.

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Answer:

7/8 yards

Step-by-step explanation:

converting each fraction to match 1/8 would be

1/4=2/8

1/8

1/2=4/8

add them together and get 7/8

angle A is 53°

angle B is 90°

angle C is 37°

angle X is 53°

angle Y is 90°

angle Z is 37°

AB=3

BC=4

AC=5

XY=3

YZ=4

XZ=5

Answer:

Probability = \(\frac{3}{5}\)

Step-by-step explanation:

Length of segment AD = 12 units

Since, AC = CD

Therefore, AC = CD = \(\frac{12}{2}\) = 6 units

Since, AB = BC

Therefore, AB = BC = \(\frac{1}{2}AC\) = 3 units

Number of total segments = 5

Number of segments having measure greater than three = 3

(AC = CD = 6 units and AD = 12 units)

Probability that the measure of a segment is greater than 3

= \(\frac{\text{Number of segments measuring greater than 3}}{\text{Total number of segments}}\)

= \(\frac{3}{5}\)

Answer:

.0000000001

Step-by-step explanation:

mave the decimal to the left 10 decimals

Respuesta:

$ 9666. 67

Explicación paso a paso:

Costo de TV = $ 76,000

Número de cuotas = 3

Monto ya pagado = $ 47000

Amontof cada cuota fija = Cantidad que queda por pagar / 3

Cantidad que queda por pagar = Costo de TV - Cantidad ya pagada

Cantidad que queda por pagar = $ (76000 - 47000) = $ 29000

Monto de cada cuota fija = $ 29000/3 = $ 9666. 67

The pdf (probability density function) of any particular measurement error X is a normal distribution with a mean of zero and a variance of σ^2.

The assumption of E(X) = 0 means that the expected value of the error is zero, indicating that the errors in measurements tend to cancel out over multiple trials. The assumption of a normal distribution implies that the errors are randomly and normally distributed around the true value, with most errors falling close to the mean (zero in this case) and fewer errors occurring farther away. The pdf of the normal distribution is a bell-shaped curve, with the majority of measurements falling within one standard deviation of the mean, and the probability decreasing as the distance from the mean increases.

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Answer:

Step-by-step explanation:

x= -3

Answer:

y = 2x - 7

Step-by-step explanation:

(1,-5) (2,-3)

y2 - y1 / x2 - x1        -3 - (-5) / 2 - 1     2/1       = 2

y = 2x + b

-3 = 2(2) + b

-3 = 4 + b

-7 = b

The area of the parallelogram formed by the points A(1, 1, 3), B(-7, 9, 0), C(-5, 12, -7), and D(3, 4, -4) is 0. This suggests that the points are collinear and do not form a parallelogram.

To verify if the points A(1, 1, 3), B(-7, 9, 0), C(-5, 12, -7), and D(3, 4, -4) form a parallelogram, we need to check if both pairs of opposite sides are parallel.

The vectors representing the sides of the parallelogram can be obtained by subtracting the coordinates of the points. Let's calculate the vectors:

Vector AB = B - A = (-7, 9, 0) - (1, 1, 3) = (-8, 8, -3)

Vetcor CD = D - C = (3, 4, -4) - (-5, 12, -7) = (8, -8, 3)

Now, let's check if these vectors are parallel. Two vectors are parallel if they are scalar multiples of each other. In other words, if one can be obtained by multiplying the other vector by a scalar.

To check if AB and CD are parallel, we can calculate their cross product and see if it results in the zero vector:

Cross product: AB x CD = (-8, 8, -3) x (8, -8, 3) = (0, 0, 0)

Since the cross product is the zero vector, it means that AB and CD are parallel.

To find the area of the parallelogram, we can use the magnitude of the cross product as follows:

Area = |AB x CD|

Magnitude: |AB x CD| = |(0, 0, 0)| = 0

Therefore, the area of the parallelogram formed by the points A(1, 1, 3), B(-7, 9, 0), C(-5, 12, -7), and D(3, 4, -4) is 0. This suggests that the points are collinear and do not form a parallelogram.

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Answer: A = 55* or 55 degrees

Step-by-step explanation:

The interior angles of a triangle always have a sum of 180 degrees.

75 + 50 + x = 180

Solve for x

FInal answer: 55 degrees

hope i explained it :)

Answer:

The first term is 3 and common difference is 8.

And

The formula for sequence is: \(a_n = -5+8n\)

Function is: \(f(n) = f(n-1)+8\)

Step-by-step explanation:

Given that

\(a_4 = 27\\a_8 = 59\)

The general formula for arithmetic sequence is:

\(a_n = a+(n-1)d\)

Here

a is the first term

n is the term number

and d is the common difference

for 4th term

\(a_4 = a+(4-1)d\\27 = a+3d\ \ \ Eqn\ 1\)

For 8th term

\(59 = a+ (8-1)d\\59= a+7d\ \ \ \ \ Eqn\ 2\)

subtracting equation 1 from equation 2

\(59-27 = a+7d-(a+3d)\\32 = a+7d-a-3d\\32 = 4d\\d =\frac{32}{4}\\d = 8\)

Putting d = 8 in equation 1

\(a+3d = 27\\a+3(8) = 27\\a+24=27\\a = 27-24\\a = 3\)

Now for the function

\(a_n = a+(n-1)d\\a_n = 3+(n-1)(8)\\a_n = 3 + 8n-8\\a_n = -5+8n\)

The sequence can also be expressed as a function as:

\(f(n) = f(n-1) + 8\)

Hence,

The first term is 3 and common difference is 8.

And

The formula for sequence is: \(a_n = -5+8n\)

Function is: \(f(n) = f(n-1)+8\)

Based on the line plot, the shortest lizard is 2 feet long and the longest lizard is 7 feet long. Therefore, the difference between the lengths of the longest and shortest lizards is 5 feet.

The line plot indicates that the shortest and longest lizards are each 2 feet long. As a result, there are 7 - 2 = 5 feet between the longest and shortest lizards in terms of length.

A line plot is a graph that displays data using X's above a number line to represent the frequency of each value. In this case, the line plot shows the lengths of the 9 lizards that Seaira measured.

A line plot, commonly referred to as a dot plot, is a straightforward graphical data display that shows distinct data points along a number line. It is frequently used to display the frequency and distribution of a set of data. A mark or dot is placed above the relevant value on the number line to symbolise each data point. Line plots offer a visual representation of the data's central tendency and variation and are especially helpful for small data sets. They enable fast data analysis, allowing for the detection of outliers, clustering, and discrepancies in the data distribution.

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Answer:

To prove that 16^5+16^4 is divisible by 17 using factoring, first rewrite the expression 16^5+16^4 using the distributive law as 16^4*(16+1). Then, note that 16+1 is divisible by 17. Since 16^4 is also divisible by 17, the expression 16^4*(16+1) is also divisible by 17. Therefore, 16^5+16^4 is divisible by 17.