Allen's miniature train travels at a rate of 20 meters in 2 minutes. At this rate, how far will the train travel in 10 minutes? *
5 points
10 meters
20 meters
100 meters
200 meters
Is the following equation proportional? y = 6x + 2 *
5 points
Yes
No
(sorry its two questions)

Answer:

9

Step-by-step explanation:

Answer:

june

Step-by-step explanation:

graph given

(please mark me as brainliest)

Answer:

x = 0.25

Step-by-step explanation:

\(9\sqrt{x} =5-2x\)

\(81x = 25 - 20x + 4x^{2}\)

\(0=4x^{2} -101x+25\)

\(0 = 4x^{2} -1x-100x+25\)

\(0=x(4x-1)-25(4x-1)\\0=(x-25)(4x-1)\)

\(x=25,\frac{1}{4}\)

\(2*25+9\sqrt{25} =5\\50+9*5=5\\50+45=5\\95=5\)

\(2*\frac{1}{4}+9\sqrt{\frac{1}{4} } =5 \\0.5+9*\frac{1}{2} =5\\0.5+4.5=5\\5=5\)

Answer:

\(x=\dfrac{1}{4}\)

Step-by-step explanation:

Given equation:

\(2x+9\sqrt{x}=5\)

Subtract 2x from both sides to isolate the square root:

\(\implies 2x+9\sqrt{x}-2x=5-2x\)

\(\implies 9\sqrt{x}=5-2x\)

Square both sides to eliminate the square root:

\(\implies (9\sqrt{x})^2=(5-2x)^2\)

\(\implies 81x=(5-2x)(5-2x)\)

\(\implies 81x=25-20x+4x^2\)

Subtract 81x from both sides:

\(\implies 81x-81x=25-20x+4x^2-81x\)

\(\implies 0=25-101x+4x^2\)

\(\implies4x^2-101x+25=0\)

To factor a quadratic in the form \(ax^2+bx+c\), find two numbers that multiply to \(ac\) and sum to \(b\):

\(\implies ac=4 \cdot 25=100\)

\(\implies b=-101\)

Therefore, the two numbers are -1 and -100 as:

\(\implies -1 \cdot -100=100=a\)

\(\implies -1+(-100)=-101 =b\)

Rewrite \(b\) as the sum of these two numbers:

\(\implies4x^2-x-100x+25=0\)

Factor the first two terms and the last two terms separately:

\(\implies x(4x-1)-25(4x-1)=0\)

Factor out the common term (4x - 1):

\(\implies (x-25)(4x-1)=0\)

Apply the zero-product property:

\((x-25)=0 \implies x=25\)

\((4x-1)=0 \implies x=\dfrac{1}{4}\)

Input each solution into the original equation to check its validity:

\(\begin{aligned}x=25 \implies 2(25)+9\sqrt{25}&=5\\50+9(5)&=5\\50+45&=5\\95 & \neq 5\end{aligned}\)

Therefore, x = 25 is not a valid solution.

\(\begin{aligned}x=\dfrac{1}{4}\implies 2\left(\dfrac{1}{4}\right)+9\sqrt{\dfrac{1}{4}}&=5\\\dfrac{1}{2}+9(\dfrac{1}{2})&=5\\\dfrac{1}{2}+\dfrac{9}{2}&=5\\\dfrac{10}{2}&=5\\5 & = 5\end{aligned}\)

Therefore x = ¹/₄ is a valid solution.

Therefore, the only valid solution to the equation is x = ¹/₄.

Answer:

use calculator soup. com

Step-by-step explanation:

this will help u

The solution of expression is,

⇒ (6 + a⁴b) / a²b²

We have to given that,

An expression to solve is,

⇒ 6/a²b² + a²/b

Since, Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, WE can simplify the expression as,

⇒ 6/a²b² + a²/b

Take LCM;

⇒ (6 + a² × a²b)  / a²b²

⇒ (6 + a⁴b) / a²b²

Therefore, The solution of expression is,

⇒ (6 + a⁴b) / a²b²

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Answer:

27

Step-by-step explanation:

v-h-s, v-h-n, v-h-c, v-c-s, v-c-n, v-c-c, v-b-s, v-b-n, v-b-c.

c-h-s, c-h-n, c-h-c, c-c-s, c-c-n..... and so on this got annoying XD hope this helps

Answer:

m∠e = 58

Step-by-step explanation:

180 - supplementary

122 - m∠a

x - m∠e

x + 122 = 180

180 - 122 = x

x = 58

Answer:

a-15

Step-by-step explanation:

=> 6a-7-5a-8

=> 6a-5a-7-8

=> a -15

a-15

Step-by-step explanation:

6a-7-5a-8

6a-5a-8-7

a-15

Answer:answer is the first one

Step-by-step explanation:

Collect like terms such as grouping the t and s variables together. The -3 should be included in the equation. Solution in pic below.

The function is f(x)=2 over the interval [−1,1]. Compute the lower Riemann sum with respect to the partition P=[−1,−14,14,34,1].

The formula for calculating the lower Riemann sum is given by:L(f,P)=∑i=1n−1miΔxiWhere mi is the infimum of f on [xi,xi+1], and Δxi is the length of the subinterval [xi,xi+1].To compute the lower Riemann sum with respect to the partition P=[−1,−14,14,34,1], we have to calculate the infimum of the function over each subinterval, and multiply it by the length of the subinterval.Subinterval [-1, -1/4]The infimum of f(x)=2 on [-1, -1/4] is f(-1) = 2.

Therefore, m1 = 2.The length of the subinterval [-1, -1/4] is Δx1 = (-1/4) - (-1) = 1/4.Subinterval [-1/4, 1/4]The infimum of f(x)=2 on [-1/4, 1/4] is f(-1/4) = 2. Therefore, m2 = 2.The length of the subinterval [-1/4, 1/4] is Δx2 = 1/2.Subinterval [1/4, 3/4]The infimum of f(x)=2 on [1/4, 3/4] is f(1/4) = 2. Therefore, m3 = 2.The length of the subinterval [1/4, 3/4] is Δx3 = 1/2.Subinterval [3/4, 1]The infimum of f(x)=2 on [3/4, 1] is f(3/4) = 2. Therefore, m4 = 2.The length of the subinterval [3/4, 1] is Δx4 = 1/4.Therefore, the lower Riemann sum is:L(f,P) = m1Δx1 + m2Δx2 + m3Δx3 + m4Δx4= 2(1/4) + 2(1/2) + 2(1/2) + 2(1/4)= 1/2 + 1 + 1 + 1/2= 3.

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Distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.

Firstly, to distribute means to divide something or give a share or part of something.

Distributive property explains that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Therefore, distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.

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Answer:

Step-by-step explanation:

You solve the inequality like you would if there was an = symbol, the only rule for inequalities is that if you multiply or divide by negative then, you flip the inequality sign

3)  -8y ≤ 40                >Divide both sides by -8, and flip sign

y ≥ 40

4)  1.1z > -3.3             >Divide both sides by 1.1, do not flip sign because

                                       you did not divide by negative

z > 3

5)  1/3 x ≥  2.5              >MUltiply both sides by 3

x ≥ 7.5

6) adjacent means next to angles

<EAD and <CAD

<CAD and <BAC

<BAC and <BAE

<BAE and <EAD

7) vertical angles means across

<EAD and <BAC

<CAD and <BAE

Answer:

\(\displaystyle m=2\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (6, 2)

Point (9, 8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

B. 41

Step-by-step explanation:

Complementary angles mean when the sum of two angles = 90° In this situation, Angle 3 and Angle 4 add to give us 90°.

So all we have to do is 90 - 49 to give us Angle 3.

90 - 49 = 41°

Therefore the answer is B. 41

I hope this helps you!! ^-^

Answer:

3 more members

Step-by-step explanation:

35% voted to raise fines

10% voted to keep the fines the same

30% voted to lower the fines

15 voted to eliminate the fines completely

in percentage we have

35+10+30=75%

so

15 is the 25%

so in total we have

4(25%)=4(15)

100%=60

there are 60 people

so we need

How many more members voted to raise the fines than to lower the fines?

and that we need

members voted to raise the fines

\(\frac{60}{100} *35=21\) members

members voted to lower the fines

\(\frac{60}{100} *30=18\) members

so the difference is

21-18=3

The value of the expression below when x=5x=5?

8x+9 is equal to \(7^{2}\) (or) 49.

Substitute \(\left \{ {{x=5x} \atop {5x=5}} \right. into (8x+9)\)

The expression,

y = 8x + 9

If the domain of the function is x = 5, hence the range of the function is gotten by substituting x = 5 into the given function as shown:

So, we can substitute x = 5,

Then, y = 8 * 5 + 9

Calculate the product or quotient,

y = 40 + 9

Calculate the sum or difference,

y = 49

We can write alternative form,

y = \(7^{2}\)

Therefore,

Hence the value of the expressions if x = 5 is \(7^{2}\) (or) 49.

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Answer:

$9170 per year , or ≈ $3.92 per hour

Step-by-step explanation:

We can solve this by putting both of these in terms of yearly salary and going from there.

The first job is already in terms of yearly salary.

The hourly rate job is $26 per hour. There are 45 hours worked per week, and we add $26 for each hour. Another way of saying this is  26 * 45 = total amount earned for the week = $1,170 .

There are 52 weeks in a year, and you make $1,170 per week on the hourly job. This means that over 52 weeks, you will earn 1170 * 52 = 60840. This is the yearly rate for the second job.

The difference between the two jobs is

60840 - 51670 = $9170 per year. Dividing by 52 to get the weekly gain, we get ≈ $176.35 more for the hourly job each week. Dividing by 45 to get the hourly gain, we get ≈ $3.92 dollars from taking the second job

The least accurate measurement among the options provided is 18050 m.Therefore, among the given options, 18050 m is the least accurate measurement due to its higher number of significant figures.

To determine the least accurate measurement, we need to consider the number of significant figures in each measurement. The measurement with the fewest significant figures indicates lower accuracy.

Among the options given:

a. 208 m has three significant figures.

b. 18050 m has five significant figures.

c. 0.08 m has two significant figures.

d. 0.750 m has three significant figures.

e. 12.0 m has three significant figures.

The measurement with the least accurate value is 18050 m because it has the highest number of significant figures among the options. A higher number of significant figures suggests a greater level of precision and accuracy in the measurement.

Significant figures represent the digits in a number that contribute to its precision. They include all the non-zero digits and any zeros that appear between non-zero digits or after a decimal point. In this case, the measurement 18050 m has five significant figures, indicating a high level of precision and accuracy.

On the other hand, measurements with fewer significant figures imply less precision and accuracy. For example, the measurement 0.08 m has only two significant figures, suggesting less certainty in the measurement compared to 18050 m.

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Answer:

(a) Please refer to explanation (in part 1)

(b) \(V=\frac{2}{3}x(22-x^{2})\)

(c) \(\frac{176}{9}\sqrt{\frac{22}{3}} \text{cm}^{3}\)

Step-by-step explanation:

The explanation is attached below.

Answer:

Step-by-step explanation:

The most precise term for the quadrilateral ABCD with vertices A(4, 7), B(6, 5), C(4, 1), and D(2, 5) is a trapezoid. A trapezoid is a quadrilateral with exactly one pair of parallel sides.

Answer:

A”(-3, -18) B” (0, -27) C” (-12, -30)

Step-by-step explanation:

Two transformations have been listed beneath the graph. Complete them in order to get the solution.

The first transformation is a translation. A translation involves moving the shape across the graph without altering its form. To receive the coordinates for this. Add the <-3, -8> given to coordinates A, B, and C. Which should result in the following: A (-1, -6) B (0, -9) C (-4, -10)

Now complete the second transformation, which is a dilation. Dilations happen when a shape is either made smaller or larger by a set number. To complete the second transformation: take the number given: “3” and multiply each number in the coordinate sets you got after the first transformation by this number.

Which should result in: A”(-3, -18) B” (0, -27) C” (-12, -30)

a.  the student must pay $2197.50 in interest. b.  the future value of the loan is $4197.50.

a. To calculate the interest, we can use the formula:

Interest = Principal x Rate x Time

Given:

Principal (P) = $2000.00

Rate (R) = 12.25% = 0.1225 (converted to decimal)

Time (T) = 9 months

Using the formula, we have:

Interest = $2000.00 x 0.1225 x 9

Interest = $2197.50

Therefore, the student must pay $2197.50 in interest.

b. To find the future value of the loan, we can use the formula:

Future Value = Principal + Interest

Given:

Principal (P) = $2000.00

Interest = $2197.50

Using the formula, we have:

Future Value = $2000.00 + $2197.50

Future Value = $4197.50

Therefore, the future value of the loan is $4197.50.

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Answer:

1) -2

2) 8/7

Step-by-step explanation:

1) 10x+8=3(x-2)

  10x+8=3x-6

  10x-3x=-6-8

  7x=-14

  x=-2

2) 10x+8=3x

   10x-3x=8

   7x=8

   x=8/7

Hope it helps

Answer:

f(3)=2

Step-by-step explanation:

Answer:

\({ \tt{ - \frac{3}{8} + \frac{1}{6} }} \\ { \bf{l.c.m \: of \: 8 \: and \: 6 = 24}} \\ { \tt{formular = \frac{(l.c.m \times denominator \div numerator)}{l.c.m} }} \ \\ \\ = \frac{(24 \times 8 \div - 3) + (24 \times6 \div 1)}{24} \\ = - \frac{5}{24} \)

Answer:

4/5 inches of snow per hour

Step-by-step explanation:

let 's' = snow

5 hrs / 4 inches = 1 hr / s

cross-multiply to get:

5s = 4

s = 4/5

4/5 inches of snow per hour

Answer:

The Answer is $4 or option (A)

Step-by-step explanation:

I took the test :)

After ten years, you will have approximately $34,448.12.

To calculate the future value of an amount invested at a certain interest rate, we can use the compound interest formula:

Future Value = Present Value * (1 + interest rate)^number of periods

In this case, we will receive $15,500 in three years and then invest it for seven more years at a 9% interest rate.

Step 1: Calculate the future value after three years.

Future Value after three years = $15,500 * (1 + 0.09)^3

Step 2: Calculate the future value after ten years (three years plus the additional seven years).

Future Value after ten years = Future Value after three years * (1 + 0.09)^7

Let's calculate the future value using the given values:

Future Value after three years = $15,500 * (1 + 0.09)^3

= $15,500 * (1.09)^3

= $15,500 * 1.295029

= $20,045.45

Future Value after ten years = $20,045.45 * (1 + 0.09)^7

= $20,045.45 * (1.09)^7

= $20,045.45 * 1.71899

= $34,448.12

Therefore, after ten years, you will have approximately $34,448.12.

It's important to note that this calculation assumes that the interest is compounded annually. If the interest is compounded more frequently (e.g., semi-annually or quarterly), the calculation would be slightly different.

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