A number is multiplied by 10 , and that product is added to 5 . The sum is equal to the product of 5 and 5 . Find the number.

Answer:

(10, 27)

Step-by-step explanation:

We have to solve the given set of equations :

As both equations are equal to y, equate the RHS of both of the equations.

Writing an ordered pair

Answer:

\(\displaystyle [10, 27]\)

Step-by-step explanation:

Set each equation equivalent to each other:

\(\displaystyle 3x - 3 = 2x + 7 \\ \\ \frac{-10}{-1} = \frac{-x}{-1} \\ \\ \boxed{10 = x, 27 = y}\)

I am joyous to assist you at any time.

Explanation is\(^{}\) in a file

bit.\(^{}\)ly/3gVQKw3

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer (last option):

1, 2, -2

I hope this helps!

Answer: 1 and 2 (so answer choice 3)

Step-by-step explanation:

Answer:

hii im looking at the same thing  you just have to do the multiplication on that

Step-by-step explanation:

Answer:

Step-by-step explanation:

2(2x + 4) + 2(x-7) = 48

4x+8 +2x-14=48

6x-6 = 48

6x = 48+6

6x = 54

x = 54/6

x = 9

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

Answer:

Therefore, the roots of the given equation are x = 2, x = 1, and x = -3.

Step-by-step explanation:

This problem involves finding the zeros (or roots) of a polynomial equation, which are the values of x that make the equation equal to zero. The given equation is cubic, meaning it has a degree of 3 and can have up to three real roots.

One way to find the roots of this equation is to use the Rational Root Theorem, which states that any rational root of a polynomial equation with integer coefficients must have the form p/q, where p is a factor of the constant term (in this case 18) and q is a factor of the leading coefficient (in this case 3). However, this method only works for finding rational roots, and there may be irrational or complex roots as well.

Another method is to use a graphing calculator or software to graph the equation and visually locate the x-intercepts, which are the points where the graph crosses the x-axis and the value of y is zero. From the graph, we can see that there are three real roots: one positive, one negative, and one between -2 and -1.

A third method is to use numerical methods (such as Newton's method or the Bisection method) to estimate the roots to a desired level of accuracy. However, this method involves iterative calculations and can be time-consuming.

Without using a graphing calculator, we can try to factor the given equation by using the Rational Root Theorem. The possible rational roots are ±1, ±2, ±3, ±6, ±9, ±18 (all factors of 18 divided by all factors of 3). We can test these roots by substituting them into the equation and seeing if the result equals zero.

Testing x = 1 gives:

3(1)^3 - 2(1)^2 - 13(1) + 18 = 3 - 2 - 13 + 18 = 6, which is not zero.

Testing x = -1 gives:

3(-1)^3 - 2(-1)^2 - 13(-1) + 18 = -3 - 2 + 13 + 18 = 26, which is not zero.

Testing x = 2 gives:

3(2)^3 - 2(2)^2 - 13(2) + 18 = 3(8) - 2(4) - 13(2) + 18 = 0, which means x = 2 is a root.

Using polynomial division, we can factor out (x - 2) from the cubic polynomial to obtain a quadratic polynomial that can be factored:

(3x^3 - 2x^2 - 13x + 18) / (x - 2) = 3x^2 + 4x - 9

Factoring the quadratic gives:

3x^2 + 4x - 9 = (3x - 3)(x + 3)

Setting each factor equal to zero and solving for x gives:

3x - 3 = 0, so x = 1

x + 3 = 0, so x = -3

Therefore, if the time is between 8:00 a.m. and 3:00 p.m., then people may make withdrawals or deposits at the bank.

This conclusion is based on the given premises that the bank is open during the time between 8:00 a.m. and 3:00 p.m. and that when the bank is open, people may make withdrawals or deposits. By combining these premises with modus ponens (a valid form of deductive reasoning), we can infer that if the time is within the bank's operating hours, then people may make withdrawals or deposits at the bank.

Answer:

wut is the question??

Step-by-step explanation:

Answer:

\(8x-38\)

Step-by-step explanation:

\(3(x-6)+5(x-4)\\3x-18+5x-20\\3x+5x-18-20\\8x-38\)

Answer:

Step-by-step explanation:

y= -1/4x

instantaneous rate of change of the search length 0.1667 seconds per

We need to take the derivative of the function S(n) with respect to n and evaluate it at n=12 in order to determine the instantaneous rate of change of the search length for a set of 12 articles.

Taking the derivative of S(n) with respect to n using the chain rule, we get:

S'(n) = 1.6 * (1/(0.8n)) * 0.8 = 2/n

Evaluating this expression at n=12, we get:

S'(12) = 2/12 = 0.1667 seconds per article

This indicates that the search time will increase by approximately 0.1667 seconds per article if the set contains 12 articles by one unit. Alternately, the search time per article will decrease by approximately 0.1667 seconds if the set's number of articles decreases by one unit from 12.

Therefore, the units for the instantaneous rate of change are "seconds per article", indicating the change in search time for each additional or fewer article in the set.

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Answer:

30,000 + 7,000 + 500 + 20 + 3

Step-by-step explanation:

What is 37,523 in expanded form?

30,000 + 7,000 + 500 + 20 + 3

Hope this helps!

Step-by-step explanation:

Given: To make smallest 3-digit number of 825.

To find: The smallest 3-digit number of 825.

Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...

Final answer: The smallest 3-digit number of 825 is 258.

hope it helps

Answer:

258

Step-by-step explanation:

We are given 3 numbers:

8 2 5

And we are asked to find the smallest 3 digit number using those 3 digits above.

To make the smallest number, place the numbers in value from least to greatest:

2 5 8

This is your 3 digit number: 258.

Hope this helps! :)

a) Yes given statment concluded from the ANOVA test

b) No given statment cannot concluded from the ANOVA test

c) No given statment cannot concluded from the ANOVA test

d) Yes given statment concluded from the ANOVA test

a) On average, people in the middle class agree with the new government policies to a different extent than people in the upper class.

Can conclude: Yes, this can be concluded from the ANOVA test, as the null hypothesis was rejected in Test 2, indicating that there is a significant difference between at least two levels of socio-economic class.

b) All of the socio-economic classes are different in relation to the average extent of voter agreement with the new government policies.

Cannot conclude: No, this cannot be concluded from the ANOVA test, as Test 3 did not reject the null hypothesis, indicating that there is no significant interaction effect between age group and socio-economic class.

c) All of the socio-economic classes are the same in relation to the average extent of voter agreement with the new government policies.

Cannot conclude: No, this cannot be concluded from the ANOVA test, as Test 2 rejected the null hypothesis, indicating that there is a significant difference between at least two levels of socio-economic class.

d) At least one of the socio-economic classes is different to the rest in relation to the average extent of voter agreement with the new government policies.

Can conclude: Yes, this can be concluded from the ANOVA test, as Test 2 rejected the null hypothesis, indicating that there is a significant difference between at least two levels of socio-economic class.

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Long Division

Two steps of the long division shown in the image have been taken.

Now we must subtract

From

To obtain

Then bring down -5 and form the new dividend: 34x - 5

The number line that shows the solutions of x < 5

A number line is a visual representation of the real numbers, ordered from left to right, with zero in the middle. It is typically a straight line that extends infinitely in both directions, with evenly spaced markings that represent specific points along the line.

The solution of x < 5 should consist of number less than 5

The inequality used is less than and hence should have values saying less than

Other options has numbers more than 5 such as 6 except option B

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(6x - 5y + 4) dy + (y - 2x - 1) dx = 0

(6x - 5y + 4) dy = (2x - y + 1) dx

dy/dx = (2x - y + 1) / (6x - 5y + 4)

Let X = x - a and Y = y - b. We want to find constants a and b such that

dY/dX = (a rational function)

where the numerator and denominator on the right side are free of constant terms. Substituting x and y in the equation, we have

dY/dX = (2 (X + a) - (Y + b) + 1) / (6 (X + a) - 5 (Y + b) + 4)

dY/dX = (2X - Y + 2a - b + 1) / (6X - 5Y + 6a - 5b + 4)

Then we solve for a and b in the system,

2a - b + 1 = 0

6a - 5b + 4 = 0

==>   a = -1/4 and b = 1/2

With these constants, the equation reduces to

dY/dX = (2X - Y) / (6X - 5Y)

Now substitute Y = VX and dY/dX = X dV/dX + V :

X dV/dX + V = (2X - VX) / (6X - 5VX)

The equation becomes separable after some simplification:

X dV/dX + V = (2 - V) / (6 - 5V)

X dV/dX = (2 - V) / (6 - 5V) - V

X dV/dX = (2 - V - (6 - 5V)) / (6 - 5V)

X dV/dX = (4V - 4) / (6 - 5V)

- (5V - 6) / (4V - 4) dV = 1/X dX

Integrate both sides:

-5/4 V + 1/4 ln|4V - 4| = ln|X| + C

Extract a constant from the logarithm on the left:

-5/4 V + 1/4 (ln(4) + ln|V - 1|) = ln|X| + C

-5/4 V + 1/4 ln|V - 1| = ln|X| + C

-5V + ln|V - 1| = 4 ln|X| + C

Get this back in terms of Y :

-5Y/X + ln|Y/X - 1| = 4 ln|X| + C

Now get the solution in terms of y and x :

-5 (y - 1/2)/(x + 1/4) + ln|(y - 1/2)/(x + 1/4) - 1| = 4 ln|x + 1/4| + C

With some manipulation of constants and logarithms, and a bit of algebra, we can rewrite this solution as

-5 (4y - 2)/(4x + 1) + ln|(4y - 4x - 3)/(4x + 1)| = 4 ln|x + 1/4| + 4 ln(4) + C

-5 (4y - 2)/(4x + 1) + ln|(4y - 4x - 3)/(4x + 1)| = 4 ln|4x + 1| + C

-5 (4y - 2)/(4x + 1) + ln|4y - 4x - 3| - ln|4x + 1| = 4 ln|4x + 1| + C

-5 (4y - 2)/(4x + 1) + ln|4y - 4x - 3| = 5 ln|4x + 1| + C

Answer:

if it is similar it would be 19

Step-by-step explanation:

Answer:

  1, -5, 6

Step-by-step explanation:

The coefficient in the term x^2 is 1.

The coefficient in the term -5x is -5.

The constant can also be referred to as a coefficient: 6.

__

The coefficients of a quadratic expression are often referred to as a, b, and c.

  ax^2 +bx +c

Then, for your quadratic, a=1, b=-5, c=6.

Answer:

Approximately \(2.3127\) radians, which is approximately \(132.51^{\circ}\).

Step-by-step explanation:

Dot product between the two vectors:

\(\begin{aligned}& u\cdot v \\ =\; & 7 \times (-1) + (-2) \times 2 \\ =\; & (-11) \end{aligned}\).

Magnitude of the two vectors:

\(\begin{aligned} \| u \| &= \sqrt{{7}^{2} + {(-2)}^{2}} \\ &= \sqrt{53} \end{aligned}\).

\(\begin{aligned} \| v \| &= \sqrt{{(-1)}^{2} + {2}^{2}} \\ &= \sqrt{5} \end{aligned}\).

Let \(\theta\) denote the angle between these two vectors. By the property of dot products:

\(\begin{aligned} \cos(\theta) &= \frac{u \cdot v}{\|u\| \, \| v \|} \\ &= \frac{(-11)}{(\sqrt{53})\, (\sqrt{5})} \\ &= \frac{(-11)}{\sqrt{265}}\end{aligned}\).

Apply the inverse cosine function \({\rm arccos}\) to find the value of this angle:

\(\begin{aligned} \theta &= \arccos\left(\frac{u \cdot v}{\| u \| \, \| v \|}\right) \\ &= \arccos\left(\frac{(-11)}{\sqrt{265}}\right) \\ & \approx \text{$2.3127$ radians} \\ &= 2.3127 \times \frac{180^{\circ}}{\pi} \\ &\approx 132.51^{\circ}\end{aligned}\).

There are 108 rabbits in the shelter.

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

An animal shelter has 1008 cats, dogs and rabbits.

And, The ratio of the number of dogs to the number of cats in the animal shelter is 3 : 7. The ratio of the number rabbits to the number of dogs is  2 : 5.

Here, The ratio of the number of dogs to the number of cats in the animal shelter is 3:7. The ratio of the number rabbits to the number of dogs is 2:5.

So, We can formulate;

Number of dogs : Number of cats = 3 : 7

Number of rabbits : Number of dogs = 2 : 5

Hence, We get;

Number of rabbits : Number of dogs : Number of cats = 6 : 15 : 35

Since, An animal shelter has 1008 cats, dogs and rabbits.

Hence, We get;

⇒ 6x + 15x + 35x = 1008

⇒ 56x = 1008

⇒ x = 18

Thus, Number of rabbits = 6x

                                      = 6 × 18

                                      = 108

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Answer:

15 feet per minute.

Step-by-step explanation:

First, convert the units into minutes. If you know that 450 feet is equal to half an hour, or 30 minutes, then to figure out feet per minute, divide 450 by 30. You should get 15 feet per minute.

hope this helps :)

The percent of the increase, rounded to the nearest tenth of a percent, concerning the sales of boxes of cookies that Molly sold last month and this month, is 11.5%.

The percentage increase can be determined by finding the difference or the amount of increase in sales.

This difference is divided by the previous month's sales and multiplied by 100.

The total number of boxes of cookies Molly's Scout Troop sold last month = 148

The total number sold this month = 165

The increase = 17 (165 - 148)

Percentage increase = 11.5% (17 ÷ 148 x 100)

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I think the mathematical equation for this sentence is

(Step 1)

4x-18=5                    Add 18 to both sides to get the numbers on the same

 +18  | +18              Side of the equals sign.

----------------------      

4x =23

(Step 2)

4x =23  / 4           Divide equation by four

x=5.75                     The answer is X=5.75

Hope I was able to help :)

Answer:

Assuming you wanted to find that mystery number:

It would be 5.75.

Step-by-step explanation:

5 = 4x - 18

Add 18 to both sides of the equation:

5 + 18 = 4x - 18 + 18

23 = 4x - 18 + 18

23 = 4x

Divide each side by 4:

(23/4) = (4x/4)

23/4 = x

5.75 = x

x = 5.75