Solve the equation 4/5+ 3x/7=2/10

Pls answer ASAP!! thanks yall

Answer

the answer should be C. 10=3x+6

Distance between point and line = \(\frac{\sqrt{261} }{3}\)

Distance

Given that,

Given point (6, -4 , 1)

Given equation of line

x = 2t, y = t − 3, z = 2t + 2

The directional vector of the given line is

<2 , 1 , 2> at t =0 the point <0, -3 , 2> is on the line.

Distance between point and line

= | < 0-6, -3 + 4 , 2-1 > x <2 , 1, 2>|  / \(\sqrt{2^{2} + 1^{2} + 2^{2}\)

= |<-6 , 1 , 1> x <2 , 1 , 2 >| / \(\sqrt{9}\)

<-6 , 1 , 1 > x < 2, 1, 2 > = (2 - 1)i - (-12 -2) j + (-6 -2) k

                                    = i + 14 j - 8k

|<-6 , 1 , 1> x < 2, 1, 2>| = \(\sqrt{1^{2} + 14^{2} + -8^{2} }\)

                                    = \(\sqrt{261}\)

Hence , distance between the point and line = \(\frac{\sqrt{261} }{3}\)

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Answer: $3.10 per gallon

Step-by-step explanation: 9.30 divided by 3

Answer:

$3.10 is the answer

Step-by-step explanation:

To find Unit rate you do whole to part. So you divide the whole to the part. In this expression the whole is $9.30 and the part would be per gallon or $3 when you divide 9.30 by 3 it should give you 3.10 or 3.1 which is the same thing.

The lines with the equations y=-1/2x+1 and y=2x+1 are perpendicular lines

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The equations of the lines are given as

y=-1/2x+1 and y=2x+1

Rewrite the above equations as

y = -1/2x + 1 and y = 2x + 1

A linear equation is represented as

y = mx + c

Where the slope of the line is represented as

Slope = m

This means that the slopes of the equations of the lines given as y=-1/2x+1 and y=2x+1 are

m1 = -1/2

m2 = 2

As a general rule, the relationship between slopes are

m1 = m2 --- parallel lines

m1 * m2 = -1 ---- perpendicular lines

In the equations of the lines given as y=-1/2x+1 and y=2x+1, we have

m1 * m2 = -1/2 * 2

Evaluate

m1 * m2 = -1

The above equation is true for perpendicular lines

Hence, the lines are perpendicular lines

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So, the most precise classification of quadrilateral LMNP is a kite.

In mathematics, an equation is a statement that two mathematical expressions are equal. It typically contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the values of the variables that make the equation true. Equations are used in many areas of mathematics, science, and engineering to model relationships between quantities and to solve problems.

Here,

To classify the quadrilateral LMNP, we need to calculate the length of all four sides using the distance formula and then use those values to determine the shape of the quadrilateral.

The distance formula is given by:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Using this formula, we can calculate the length of each side of the quadrilateral as follows:

LM = √[(4 - (-1))² + (9 - 7)²] = √[5² + 2²] = √29

MN = √[(8 - 4)² + (-1 - 9)²] = √[4² + (-10)²] = √116

NP = √[(3 - 8)² + (-3 - (-1))²] = √[(-5)² + (-2)²] = √29

PL = √[(-1 - 3)² + (7 - (-3))²] = √[(-4)² + 10²] = √116

Now, we can use the values we have calculated to determine the shape of the quadrilateral. We can see that LM = NP and MN = PL, which means that opposite sides are congruent. Also, LM and MN are not equal to PL and NP, which means that opposite sides are not parallel. Therefore, LMNP is a kite.

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Answer:43.47

Step-by-step explanation: you have to mulitply 63 and 69  and you will get   43.47

Description

To calculate a percent of a number you must find the total amount or the whole number.

After that Divide the number that you wish to determine the percentage for

Then multiply the value from step two by 100.

In this case the answer will be 43.47

64 percent of 69 = 43.47

Answer: 43.47

Hope this helps

Answer: Consider me the brainiest. The answer is... Decimal form =4.083

Exact form= 49/12

The mixed number form=4 1/12

How do we solve fractions step by step?

Conversion a mixed number 2  1/3 to a improper fraction: 2 1/3 = 2  1/3 = 2 3 + 1/3 = 6 + 1/3 = 7/3

To find a new numerator

A;   Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3

b) Add the answer from the previous step 6 to the numerator 1. The new numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 3.

Two and one-third are seven-thirds.

Conversion a mixed number 1  3/4 to a improper fraction: 1 3/4 = 1  3/4 = 1 · 4 + 3/4 = 4 + 3/4 = 7/4

To find a new numerator:

a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/4 = 4/4

b) Add the answer from the previous step 4 to the numerator 3. The new numerator is 4 + 3 = 7

c) Write a previous answer (new numerator 7) over the denominator 4. One and three quarters are seven quarters.

Add: 7/3 + 7/4 = 7 · 4/3 · 4 + 7 · 3/4 · 3 = 28/12 + 21/12 = 28 + 21/12 = 49/12 It

is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions.  The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12.  It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the following intermediate step, it cannot further simplify the fraction result by cancelling.  In other words - seven thirds plus seven quarters is forty-nine twelfths.

Answer:

No solution

Step-by-step explanation:

Because x = 0

Answer:

9/18

Step-by-step explanation:

Answer:

K=-13/3

Step-by-step explanation:

The rate of the slower car is 77km/hr

Velocity is the rate of change of displacement with time. It is measured in meter per second and it is a vector quantity.

velocity = displacement/time

displacement = velocity × time

represent the faster car by v1 and the slower car by v2

v1 = v2+16

V2 = v1-16

Total displacement = 680km

680 =( v1+V2)t

680 = (v1+V2)4

v1+v2 = 680/4

v2+16+v2 = 170

2v2 = 170-16

2v2 = 154

v2 = 154/2

v2 = 77km/hr

therefore the rate of the slower car is 77km/hr

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Answer:

1/2 = y or y = 1/2

Step-by-step explanation:

-1/2 = y-1

1/2 = y

Because you added one to isolate the avriable, you have to add one to the other side as well, -1/2 + 1 = 1/2

Greetings from Brasil...

Using sine, we will be able to find the value of X

SEN 17 = X/47

X = 47 · SEN 17

X = 47 · 0,29237

X = 13,741

Given: Factoring and quadratic equation

To Determine: 7 recommended strategy steps for solving these problems

Solution

The 7 recommended strategy steps for solving these problems are:

1. Completing the square.

2. Quadratic formula.

3. AC method (various variants)

4. Guessing (perhaps helped by rational roots theorem)

5. Sum of coefficients shortcut.

6. Pattern recognition of perfect square trinomials.

7. Graphical method

To solve an quadratic equation using factoring :

1 . Transform the equation using standard form in which one side is zero. e.g.

2 . Factor the non-zero side.

3. Determine the product

4. Determine the sum

5. Determine two product factors of the the product that if added to each other wuld give the sum

So, we have

6 . Set each factor to zero (Remember: a product of factors is zero if and only if one or more of the factors is zero).

7 . Solve each resulting equation

The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.

To solve the given system of equations:

Equation 1: 8x + 9y = -36

Equation 2: x + 7y = 1

We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:

From Equation 2, we can solve for x:

x = 1 - 7y

Substituting this value of x into Equation 1:

8(1 - 7y) + 9y = -36

8 - 56y + 9y = -36

-47y = -44

y = 44/47

Substituting the value of y back into Equation 2 to find x:

x + 7(44/47) = 1

x + 308/47 = 1

x = 1 - 308/47

x = (47 - 308)/47

x = -261/47

Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).

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The required reverse Euclidean algorithm is the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

Given that (5*x) mod 91 =32.

To solve the modular equation (5*x) mod 91 =32 using reverse Euclidean algorithm is to find the modular inverse of 5 modulo 91.

Consider  (5*x) mod 91 =32.

5x = 32(mod 91)

Apply the Euclidean algorithm to find GCD of 5 and 91 is

91 = 18 * 5 + 1.

Rewrite it in congruence form,

1 = 91 - 18 *5

On simplifying the equation,

1 = 91 (mod 5)

The modular inverse of 5 modulo 91 is 18.

Multiply equation by 18 on both sides,

90x = 576 (mod91)

To obtain the smallest positive  solution,

91:576 = 6 (mod 91)

Divide both sides by the coefficient of x:

x = 6 * 90^(-1).

Apply the Euclidean algorithm,

91 = 1*90 + 1.

Simplify the equation,

1 + 1 mod (90)

The modular inverse of 90 modulo 91 is 1.

Substitute the modular inverse in the given question gives,

x = 6*1(mod 91)

x= 6 (mod91)

Therefore, the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

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By using the Unitary Method we get the number of children who went on an excursion was 63. Thus, the total number of children at school is 90.

We are given that,

No. of children who stayed at school is 27,

Also, 70% of the children went on an excursion.

Suppose, the total number of children in percentage is 100%

Out of which 70% went on an excursion

Thus, the children who stayed at school is 100% - 70% = 30%

By using the Unitary method, we can find out the number of 70% of children.

If 30% of the children are 27

Then 70% of the children are = 27 × 100

                                                        30

                                                 = 63

∴ the total no. of children in the school = 27 + 63

                                                                 = 90

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Answer:

Volume=972π units cubed.

Step-by-step explanation:

The formula for the volume of a sphere is:

V=4/3πr^3

where r=radius

and v=volume

so we know the radius of the sphere in the diagram is 9 cm

so r=9 cm

we can subsitute this into the formula and solve.

V=4/3π(9^3)

V=4/3π*729

V=972π units cubed.

Saving for a down payment was worth it for Isabel. It reduces the total amount paid for the car by lowering the loan amount, resulting in less interest paid over time.

When evaluating whether saving for a down payment on a car was worth it for Isabel, we need to consider the difference in the total amount paid for the car in two scenarios: with a down payment and without a down payment. Let's analyze the two scenarios to make a judgment.

Scenario 1: With a down payment

In this scenario, Isabel saved up and made a down payment on the car. As a result, her monthly loan payment fits within her budget. By making a down payment, she reduces the principal amount borrowed and, subsequently, the interest charged on the loan.

The benefits of saving for a down payment include:

Lower loan amount: By making a down payment, Isabel reduces the total amount borrowed from the lender.

Reduced interest: With a lower loan amount, the interest charged on the loan is also reduced.

Shorter loan term: A down payment can help Isabel secure a shorter loan term, reducing the overall interest paid over time.

Scenario 2: Without a down payment

In this scenario, Isabel does not make a down payment and finances the entire purchase price of the car. As a result, her monthly loan payment may be higher, as she is borrowing a larger sum and potentially paying more interest over the loan term.

The drawbacks of not saving for a down payment include:

Higher loan amount: Without a down payment, the entire purchase price is financed, leading to a higher loan amount.

Increased interest: With a higher loan amount, more interest may accumulate over the loan term, resulting in a higher total cost of the car.

By comparing the two scenarios, we can assess the impact on the total amount paid for the car. Generally, having a down payment reduces the loan amount, decreases interest charges, and may result in a shorter loan term. This, in turn, can lead to substantial savings in the long run.

To determine the exact difference in the total amount paid for the car in each scenario, we would need specific details such as the purchase price of the car, the interest rate, and the loan term. With these figures, we could calculate the total cost of the car, including interest, in both scenarios and compare the results. Based on this analysis, we can then determine if saving for a down payment was worth it for Isabel.

In conclusion, saving for a down payment on a car can offer financial benefits such as lower loan amounts, reduced interest charges, and potentially shorter loan terms. Considering the potential cost savings and improved financial stability, it is generally advisable for Isabel to save for a down payment, making it worth the effort and consideration.

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Question

The down payment makes the monthly loan payment fit into Isabel's budget. Besides this benefit, do you think saving for a down payment on the car was worth it for Isabel? Use each monthly payment with and without a down payment) to find the difference of the total amount paid for the car in each scenario to justify your answer.

Answer:

A) Vertical angles are congruent.

The value of p in the equation 7p - 4 = 8 is p = 12/7

From the question, we have the following parameters that can be used in our computation:

7p - 4 = 8

Add 4 to both sides

So, we have

7p = 12

Divide both sides by 7

So, we have

p = 12/7

Hence, the solution is p = 12/7

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The standard deviation of the sampling distribution is approximately 0.3292.

The behaviour of the sampling distribution of the mean is described by the central limit theorem, a key conclusion in statistics. It asserts that regardless of how the population distribution is shaped, if a random sample of size n is taken from a population with mean and standard deviation, the distribution of sample means will tend towards a normal distribution as n increases.

Because it enables us to utilise the normal distribution to draw conclusions about the population mean based on sample means, the central limit theorem has significant practical ramifications. Additionally, it offers a foundation for confidence interval estimation and statistical hypothesis testing.

The standard deviation is given by the formula:

SD = σ/√(n)

Now, substituting the value of σ = 40, n = 147,400 we have:

SD = σ/√(n) = 40/√(147400) ≈ 0.3292

Hence, the standard deviation of the sampling distribution is approximately 0.3292.

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correct, is Decay and the initial amount is 13000, rate is 25%

\(\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^x\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &13000\\ r=rate\to 25\%\to \frac{25}{100}\dotfill &0.25\\ x=years \end{cases} \\\\\\ A=13000(1 - 0.25)^{x}\implies \boxed{A=13000(0.75)^x} \\\\\\ \stackrel{\textit{after 3 years}}{A=13000(0.75)^3}\implies A\approx 5484.38~\hfill \stackrel{\textit{after 8 years}}{A=13000(0.75)^8}\implies A\approx 1301.47\)

Answer:

C option

Step-by-step explanation:

bcz root of 121 is 11. then 2/3 +11 will give you a rational number.

Answer:

2/7 + square root of 121 (the third one)

Step-by-step explanation:

a rational number is a number where if you write it as a fraction, both the numerator and denominator are integers (numbers like 1 and 2 but not like 3.4 or 5.6)

the equation simplified a bit looks like this:

2/7 + 11/1

anddd so all the numbers are integers which means that expression is correct :3

Answer:

70 people

Step-by-step explanation:

428-15=423

423/6=70.5

she can invite 70 people

The behavior of the polynomial will be x → ±∞, then f(x) → ∞. Thus, the correct option is D.

The domain means all the possible values of x and the range means all the possible values of y.

From the graph, as the value of x tends to positive or negative infinity, then the value of the graph approaches positive infinity.

Thus, the correct option is D.

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Answer:

D.) There are 30 g of protein in 6 tablespoons of peanut butter.

Step-by-step explanation:

Interpretation of the graph:

x-axis: tablespoons

y-axis: grams of protein.

Which statement describes the meaning of the point (6, 30) on the graph?

(6,30) means that x = 6 and y = 30.

This means that in 6 tablespoons there are 30g of protein.

So the correct answer is:

D.) There are 30 g of protein in 6 tablespoons of peanut butter.

Answer:

The answer is D

Answer:

los 0,75 metros de tela valdrían 7,09. Lo siento si esto es mal español, tuve que usar la traducción.

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

1/2x+4=9

subtract 4 from both sides

1/2x=5

multiply both sides by 2 to get x by itself

x=10

Answer:

1/2x+4=9 is x=1/10

Step-by-step explanation:

theres no explanation