Solve each equation. Then check your solution. 3-a/7=-2

Answers

Answer 1
3-a/7=-2 (problem)
3-a=-14 ( multiply by 7 on both sides)
-a=-14 (subtract 3 from both sides)
a=14 (divide both sides by negative 1)
Answer: a=14

Related Questions

Going to be getting a tutor soon but until then I need all the help I can get.

Any help appreciated!

Answers

AFB is acute
DFB is obtuse
CFD is a right angle
Rotation
Translation
Reflection
Angle AFC is a right angle so it measures 90 degrees. Angle CFB is 42 degrees which is given so angle AFC has to measure 48 degrees because when combined you get 90 degrees. Since AFC measures 48 degrees it is an acute. Again CFB is 42 degrees and CFD is a right angle which is 90 degrees. Angle DFB is the sum total of the two angles so angle DFB would measure 132 degrees which makes it an obtuse angle. CFD is a right so it is 90 degrees because all right angles measure 90 degrees.

In exercises 83–86, verify that the intermediate value theorem applies to the indicated interval and find the value of guaranteed by the theorem.

Answers

The intermediate value theorem states that suppose f is a function continuous on every point of the interval [a, b], for any L between the values f(a) and f(b), there exist at least one number, c, in [a, b] for which f(c) = L.

83.
Given
[tex]f(x)=x^2+x-1[/tex]
on the interval [0, 5], with f(c) = 11

[tex]f(0)=0^2+0-1=-1[/tex]
and
[tex]f(5)=5^2+5-1=25+4=29[/tex]
Clearly, f(c) = 11 is between f(0) = -1 and f(5) = 29

Thus, the intermediate value theorem is satisfied.

To find the value of c, we solve the equation
[tex]c^2+c-1=11[/tex]
as follows:
[tex]c^2+c-1=11 \\ \\ c^2+c-12=0 \\ \\ (c-3)(c+4)=0 \\ \\ c=3 \ or \ -4[/tex]

Because, c is in the interval [0, 5], therefore, the value of c is 3.


84.
Given
[tex]f(x)=x^2-6x+8[/tex]
on the interval [0, 3], with f(c) = 0

[tex]f(0)=0^2-6(0)+8=8[/tex]
and
[tex]f(3)=3^2-6(3)+8=9-18+8=-1[/tex]
Clearly, f(c) = 0 is between f(0) = 8 and f(3) = -1

Thus, the intermediate value theorem is satisfied.

To find the value of c, we solve the equation
[tex]c^2-6c+8=0[/tex]
as follows:
[tex]c^2-6c+8=0 \\ \\ (c-4)(c-2)=0 \\ \\ c=4 \ or \ 2[/tex]

Because, c is in the interval [0, 3], therefore, the value of c is 2.


85.
Given
[tex]f(x)=x^3-x^2+x-2[/tex]
on the interval [0, 3], with f(c) = 4

[tex]f(0)=0^3-0^2+0-2=-2[/tex]
and
[tex]f(3)=3^3-3^2+3-2=27-9+1=19[/tex]
Clearly, f(c) = 4 is between f(0) = -2 and f(3) = 19

Thus, the intermediate value theorem is satisfied.

To find the value of c, we solve the equation
[tex]c^3-c^2+c-2=4[/tex]
as follows:
[tex]c^3-c^2+c-6=0 \\ \\ (c^2+c+3)(c-2)=0 \\ \\ c=2[/tex]

Therefore, the value of c is 2.


86.
Given
[tex]f(x)= \frac{x^2+x}{x-1} [/tex]
on the interval [tex]\left[ \frac{5}{2}, \ 4\right] [/tex], with f(c) = 6

[tex]f\left(\frac{5}{2}\right)= \frac{\left(\frac{5}{2}\right)^2+\left(\frac{5}{2}\right)}{\left(\frac{5}{2}\right)-1}= \frac{ \frac{25}{4}+ \frac{5}{2} }{ \frac{3}{2} } = \frac{35}{4} \cdot \frac{2}{3} =5 \frac{5}{6} [/tex]
and
[tex]f(4)= \frac{4^2+4}{4-1}= \frac{ 16+ 4 }{ 3 } = \frac{20}{3}=6 \frac{2}{3}[/tex]
Clearly, f(c) = 6 is between [tex]f\left(\frac{5}{2}\right)= 5 \frac{5}{6} [/tex] and [tex]f(4)=6 \frac{2}{3}[/tex]

Thus, the intermediate value theorem is satisfied.

To find the value of c, we solve the equation
[tex]\frac{c^2+c}{c-1}=6[/tex]
as follows:
[tex]c^2+c=6(c-1)=6c-6 \\ \\ \Rightarrow c^2-5c+6=0 \\ \\ \Rightarrow(c-2)(c-3)=0 \\ \\ \Rightarrow c=2 \ or \ 3[/tex]

Because, c is in the interval [tex]\left[ \frac{5}{2}, \ 4\right] [/tex], therefore, the value of c is 3.

In how many ways can 15 identical math books be distributed among 6 students?

Answers

1 book for each student with 9 books left over, or 2 books each student with 3 books left over. so two ways.

What can child-care homes and facilities do to help families and reduce the risk of child abuse?

Answers

Hello There!

They can review staff behavior expectations, have special considerations for very young children and make sure child case spaces are designed well.

Hope This Helps You!
Good Luck :)

Answer:

If a staff member notices behavioral changes in the child it could improve the situation if a staff member subtly questioned the child not alarming anything and if the child is aware of abuse the staff member could quickly respond and seek help from a higher person.

Convert 5.4 ⋅ 103 to standard form.

Answers

5.4 * 10³ = 5,400  .
_____________________________

How to complete the square when a is greater than 1?

Answers

when a is greater then 1...

example : 

2x^2 + 6x + 3 = 0.....x^2 has to have a coefficient of 1 in order to complete the square. So, in this case, we divide everything by 2.

x^2 + 3x + 3/2 = 0....now u move the constant over
x^2 + 3x = -3/2...and continue as usual.

just remember, u have to divide by the coefficient of x^2 before moving the constant over.

To get the perfect square when a is greater than 1 divide the whole equation by a.

What is a perfect square?

When a given expression is simplified to the square of a sub-function is called a perfect square.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.


Here,
Let's presume with an example,
ax² + bx + c =0
In order to get the perfect square the whole equation must be divided by a for a greater than 1

x² + b/a x + c/a = 0

Thus, to get the perfect square when a is greater than 1 divide the whole equation by a.

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Lucy is thinking of a number. the number is greater than two hundred twenty-five. her number is less than 2hundred, 2 tens,7 ones. what is lucy number? howq do i solve this

Answers

2hundred, 2tens, 7ones is 227.
so the answer is 226 coz its smaller than 227 and larger than 225

There was some gas in the tank. I added 13.3 gallons to it. After that, there was 21 gallons. How many gallons were in the tank at the start?

Answers

answer:
17.7
work:
-subtract to find the original number.
21 - 13.3
17.7
hope this helps! :D

Define a function pyramid volume with double parameters baselength, basewidth, and pyramid height, that returns as a double the volume of a pyramid with a rectangular base. relevant geometry equations: volume = base area x height x 1/3 base area = base length x base width. (watch out for integer division).

Answers

Declaring the volume function double PyramidVolume(double baseLength, double baseWidth, double pyramidHeight){ double baseArea = baseLength * baseWidth; double vol = ((baseArea * pyramidHeight) * 1/3); return vol; } int main() { cout << "Volume for 1.0, 1.0, 1.0 is: " << PyramidVolume(1.0, 1.0, 1.0) << endl; return 0; } Defining the function, include <iostream> double PyramidVolume(double, double, double); int main() { std::cout << "Volume for 1.0, 1.0, 1.0 is: " << PyramidVolume(1.0, 1.0, 1.0) << std::endl; return 0; } double PyramidVolume(double length, double width, double height) { return length * width * height / 3; }

A cube has a side of 5 cm. it has a mass of 250 grams. the density of the cube is

Answers

Density = mass/volume

volume cube = side^3 = 5^3 = 125 cm^3, don't forget units!

Density = 250 grams / 125 cm^3 = 2 g/cm^3, with all the units

Final answer:

The density of the cube is calculated to be 2 g/cm³ by dividing the mass (250 grams) by the volume of the cube (125 cm³).

Explanation:

To calculate the density of a substance, you divide its mass by its volume. In the given problem, the cube has a mass of 250 grams and each side of the cube is 5 cm. The volume of a cube is calculated by taking the cube of the side length, which in this case is 5^3 = 125 cm³.

By substituting the given mass and computed volume in the formula, we find that the density of the cube is 250 grams ÷ 125 cm³ = 2 g/cm³.

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What is [tex] \frac{8m}{n} ^7[/tex] simplified?

Answers

[tex]\bf \cfrac{8m^7}{n}\implies 8m^7n^{-1}\implies 2^3m^{3+3+1}n^{-1}\implies 2^3m^3m^3m^1n^{-1} \\\\\\ 2^3(m^2)^3mn^{-1}\implies (2m^2)^3mn^{-1}[/tex]


If the absolute value of a nonzero real number is equal to the opposite of the number, the number is __________.

positive
negative
zero
irrational

Answers

TBH, I'm really thinking about this one.... but I think I'd have to say that it's the negative.

If the absolute value of a nonzero real number is equal to the opposite of the number then the number is negative.

What is Number system?

A number system is defined as a system of writing to express numbers.

We have to find the number for the absolute value of a nonzero real number is equal to the opposite of the number

The absolute value of a number is its numerical value without regard to its sign.

So if the absolute value of a number is equal to the opposite of the number, it means that the sign of the number must be negative.

Hence, if the absolute value of a nonzero real number is equal to the opposite of the number then the number is negative.

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(11p + 3q + 4) + (-5p + 8q)

Answers

11p + 3q + 4 -5p +8q

6p + 11q + 4 is your answer

hope this helps

1. find the LCD of 3/5 and 1/6.
A. 5
B. 6
C. 11
D. 30

2. what is the difference between 3/7 and 1/14.
A. 1\2
B. 4/14
C. 5/14
D. 9/14

3. if Sandy's cookie recipe calls for 1/3 cup of brown sugar and she increases it by 2/9 of a cup, how much brown sugar does she use?
A. 7/9 cup
B. 5/9 cup
C. 4/9 cup
D. 1/9 cup

4. what value could be added to 2/15 to make the sum greater than 1/2?
A. 1/15
B. 8/30
C. 5/15
D. 8/15

5. which set of mixed numbers has a difference less than 1?
A. 1 2/9, 1 1/9
B. 3 4/7, 2 1/7
C. 2 4/5, 1 1/3
D. 2 7/9, 1 1/3

Answers

1. LCD of 3/5 and 1/6 is 30

2. 3/7 - 1/14 = 6/14 - 1/14 = 5/14

3. 1/3 + 2/9 = 3/9 + 2/9 = 5/9

4. 8/15

5. 1 2/9 - 1 1/9

Answer:

1. D. 30

2. C. [tex]\frac{5}{14}[/tex]

3.  [tex]\frac{5}{9}[/tex]

4. D. [tex]\frac{8}{15}[/tex]

5. A. [tex]\frac{12}{9}, \frac{11}{9}[/tex]

Step-by-step explanation:

1. LCD or lowest common denominator for a set of fractions is lowest common multiple of all the denominators in that set of fractions

∴ for [tex]\frac{3}{5}[/tex] and [tex]\frac{1}{6}[/tex] LCD will be 5×6 = 30

2. [tex]\frac{3}{7} - \frac{1}{14}  = \frac{6-1}{14} = \frac{5}{14}[/tex]

3. [tex]\frac{1}{3} - \frac{2}{9}  = \frac{3+2}{9} = \frac{5}{9}[/tex] = [tex]\frac{5}{9}[/tex]

4. [tex]\frac{2}{15} + \frac{1}{15} = \frac{1}{5}\\\\\frac{2}{15} + \frac{8}{30} = \frac{2}{5}\\\\\frac{2}{15} + \frac{5}{15} = \frac{7}{15}\\\\\frac{2}{15} + \frac{8}{15} = \frac{2}{3}[/tex]

5. [tex]\frac{12}{9} - \frac{11}{9} = \frac{1}{9} \\\\\frac{34}{7} - \frac{21}{7} = \frac{13}{7} \\\\\frac{24}{5} - \frac{11}{3} = \frac{17}{15}\\\\\frac{27}{9} - \frac{11}{3} = \frac{-6}{9}[/tex]

The mean lifespan of a sylvania light bulb is 1600 hours with a standard deviation of 300 hours, an iqr of 450 hours, and a range of 690 hours. the lifespan distribution is relatively symmetric. which measure of spread is the best measurement?

Answers

Given that the mean lifespan of a sylvania light bulb is 1600 hours with a standard deviation of 300 hours, an iqr of 450 hours, and a range of 690 hours. the lifespan distribution is relatively symmetric.

Since, the distribution is relatively symmetric, the measure of spread that is the best measurement is the standard deviation.

Hellllp pleaseeeee !

Answers

The answer is false. I hope this helps love! :)

Eddie purchased 4 packages of light bulbs and received a 15% discount. He also paid $4.85 in taxes on his purchase. Write an algebraic expression to represent the total amount Eddie paid. Let x represent the cost of each package purchased.

Answers

Okay. An algebraic expression we can use here is 4x * 0.85 + 4.85= t. I say this, because "x" equals the amount paid per package of light bulbs and he paid for 4 of them. He received a 15% discount for purchasing 4 packages of light bulbs, but he would still have to pay 85% (0.85 in decimal form) of the price. Then, $4.85 are added to his purchases. I put the "t" in the algebraic expression to represent the total cost of the purchase together, including tax and discount. The algebraic expression is 4x * 0.85 + 4.85.

Let f(x) = x2 and g(x) = x − 3. Evaluate (g ∘ f)(0).

Answers

f(0) = 0
g(f(0)) = 0 - 3 = -3

answer
(g ∘ f)(0) = -3

The value of ( g o f ) (0) is -3.

Here,

The function is given as;

[tex]f (x) = x^{2}[/tex] and [tex]g (x) = x-3[/tex]

We have to find the value of ( g o f ) (0).

What is Composite function?

Composite function is an operation that takes two functions f and g and produces a function k such that k (x) = g(f(x)).

Now,

The function are;

[tex]f (x) = x^{2}[/tex] and [tex]g (x) = x-3[/tex]

Simplify ( g o f ) (0) as;

⇒ [tex]( g o f ) (0) = g ( f (0)) = g (0) = 0-3 = -3[/tex]

Hence, The value of ( g o f ) (0) is -3.

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The Porter family is moving from Baltimore, Maryland, to San Francisco, California. They would like to know what the difference will be in their family budget. How would you explain cost of living to them?

Answers

In a business perspective, we need to consider cost of living and rent index (considering they will rent in both cities) difference in response to net earnings. Per data in general, we can say that it would cost ~$5000+ to live in California and around $4000+ in Maryland. These values should be directly related to the indices difference of these underlying factors: consumer prices (CA is 4% lower than MD), consumer prices + rent (CA is 7% higher than MD), rent (CA is 28% higher than MD), restaurant (CA is 3% lower than MD), groceries (CA is 4% lower than MD), and local purchasing power is 10% higher in CA than MD.

Answer:

Cost of living is the amount of money needed for fixed expenses such as housing, food, taxes, and health care, as well as variable expenses. Big cities tend to have a higher cost of living than smaller cities.

Step-by-step explanation:

Number like 10 100,1,000 and so on are called what

Answers

These numbers are called power of ten. A power of ten is 10 multiplied by itself the exponent number of times. For example:

We can write 10 as 10¹

100 as 10²

1000 as 10³

The exponent is equal to the number of zeros in the number like 100 has 2 zeros so the exponent is 2 and write it as 10²

Find out the probability of rolling two dices being total of “7”.

What is all the combination of two dices making total of “7” ?
What is the probability of rolling two dices being total of “7”?

Answers

Sample space of 2 dice ={6 x 6} = 36 possible outcomes
In how many ways we can get 7:
1) 1+6
2) 2+5
3) 3+4
4) 4+3
5) 5+2
6) 6+1
So there are 6 ways to get a 7,

Hence P(of getting a sum =7) = 6/36 = 1/6 = 0.1667



Final answer:

When two dice are rolled, there are 6 feasible outcomes out of 36 that will sum to '7', hence the probability is 1 out of 6, or approximately 0.167.

Explanation:

In the field of probability, when you roll two dice, there are 6 possible outcomes for each die, hence giving us 36 possible outcomes altogether (6*6=36). Out of these 36 possible outcomes, there are 6 combinations that can total to '7'. These combinations are: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1). Therefore, the probability of rolling a '7' with two dice is 6 out of 36, which simplifies to 1 out of 6, or approximately 0.167, when rounded to three decimal places.

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How do you find the coordinates of the midpoint of segment VW with the end points of V(-2,-6) and W(x+2, y+3)

Answers

Final answer:

The coordinates of the midpoint of segment VW are (x/2, (y-3)/2).

Explanation:

To find the coordinates of the midpoint of segment VW, we can use the midpoint formula.

The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.

Given the endpoints V(-2, -6) and W(x+2, y+3), we can find the x-coordinate of the midpoint by taking the average of the x-coordinates: (-2 + (x+2))/2.

Similarly, we can find the y-coordinate of the midpoint: (-6 + (y+3))/2.

So the coordinates of the midpoint are (x/2, (y-3)/2).

Jonah is arranging books on a shelf. The order of the books matters to him. There are 336 ways he can arrange the books. Choose True or False for each statement.

Answers

The sum of the probabilities of any event and its complement is always 1.

The student's question involves probability and arrangement of objects, which falls under the subject of mathematics. More specifically, the problem relates to permutations and the fundamental counting principle, combined with basic probability concepts.

Statement 36: The sample space is the set of all possible outcomes that can occur. Since there are 12 different books, the sample space consists of these 12 unique titles, where 8 are fiction (F1 to F8) and 4 are nonfiction (N1 to N4). The sample space is therefore: {F1, F2, F3, F4, F5, F6, F7, F8, N1, N2, N3, N4}.

Statement 37: The sum of the probabilities of an event and its complement is always 1. This is because an event and its complement together cover all possible outcomes in the sample space.

Identify a reflection about the x-axis or a reflection about the y-axis of ƒ(x) = 7x2 – x3 by observing the equation of the function g(x) = –7x2 + x3.

Answers

Final answer:

The function g(x) = –7x² + x³ is the reflection of the function f(x) = 7x² – x³ about the x-axis. This is observed by the change in signs of each term in the function's equation after performing the reflection.

Explanation:

By observing the given equation, f(x) = 7x² – x³ and g(x) = –7x² + x³, it is clear that the function f(x) reflects about the x-axis to create function g(x). This is indicated by the change of signs of each term in the equation of the function.

To elaborate, a reflection about the x-axis sees a function's equation change y(x) to -y(x). In our example, f(x) becomes -f(x) or –(7x² – x³), which after simplifying gives us –7x² + x³ = g(x). Therefore, g(x) is the reflection of f(x) about the x-axis.

Furthermore, to identify a reflection about the y-axis, observe if the equation changes from f(x) to f(-x). An even function or a function symmetric about the y-axis would not change with this transformation. Conversely, an odd function would change signs, just like our function did when reflecting over the x-axis.

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If 2a/b=1/2,what is the value of b/a?

Answers

Answer:

The value of [tex]\frac{b}{a}=4[/tex] .

Step-by-step explanation:

As given in the question

[tex]\frac{2a}{b}=\frac{1}{2}[/tex]  

Now find out the value of [tex]\frac{b}{a}.[/tex]

[tex]\frac{b}{a}=\frac{2\times 2}{1}[/tex]

[tex]\frac{b}{a}=2\times 2[/tex]

[tex]\frac{b}{a}=4[/tex]

Therefore the value of [tex]\frac{b}{a}=4[/tex] .

The value of b/a from the equation; 2a/b=1/2 is; 4

Evaluation of inverse

The given equation is;

2a/b=1/2

Divide both sides of the equation by 2; we have;

a/b = 1/2 ÷ 2

a/b = 1/4

Hence, the inverse of a/b is b/a and;

b/a = 4

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Tony made 14L of lemonade for a party. His guests drank 9500 mL of the lemonade. How many milliliters of lemonade did tony have left?

Answers

1L = 1000ml

 14L = 14000ml

14000-9500 = 4500ml left

the answer is 4500ml

Find the slope of each of the lines below:

Answers

When a line in a slope graph has no rise/run like this one, there is no slope.
The slope is "Undefined".

If there are 30 red and 45 blue marbles in a jar with 200 marbles. what percent of the marbles are red

Answers

just divide 30 into 200. its 15%

solve for z 15 points

Answers

Hey there! 

[tex]Step^1:[/tex] we have to [tex]simplify[/tex] your factions

[tex]Like: [/tex]  [tex]z - \frac{4}{9} - \frac{1}{3} = \frac{5}{9} [/tex] 

[tex]Replace[/tex] the [tex]subtraction [/tex] symbol to the [tex]additional [/tex] symbol since [tex]adding[/tex] is the opposite of [tex]subtraction [/tex] (since we changed the symbols the first two fractions numerators becomes a negative)

Our problem becomes: [tex] z + \frac{-4}{9} + \frac{-1}{3} = \frac{5}{9} [/tex]

Let's gather all of our "[tex]like-terms[/tex]" (if we have any in this question/problem)

[tex]Like: [/tex] [tex]z + \frac{-4}{9} + \frac{-1}{3} \\ = \frac{5}{9} [/tex]

The step we just did when we [tex]solved [/tex] it gave us: [tex]z + \frac{-7}{9} = \frac{5}{9} [/tex]

For our last step:  Let's [tex]Add [/tex] by the number/fraction [tex] \frac{7}{9} [/tex] on each of your sides that we're working with! 

[tex]Like:[/tex] [tex]z + \frac{-7}{9} + \frac{7}{9} (Cancel) \\ = \frac{5}{9} + \frac{9}{9} (Keep) [/tex]

Therefore, we have came to our [tex]answer[/tex] , which is: [tex]z = \frac{4}{3} [/tex]

Good luck on your assignment and enjoy your day!

[tex]MeIsKaitlyn:)[/tex]

Sorry, I was late to answering your question :(

find the value of x for the triangle or rectangle... plz help asap 4 both

Answers

9.) Perimeter=23
23=x+x+3+2x
23=4x+3
23-3=4x
20=4x
20/4=x
x=5
10.) Perimeter=24
24=x+3+2x+x+3+2x
24=6+6x
24-6=6x
18=6x
18/6=x
x=3
Final answer:

The value of 'x' in a triangle is determined by using the Pythagoras theorem, while in a rectangle, it's determined by algebraic equations.

Explanation:

In order to find the value of 'x' in both cases, we need to understand that two different concepts potentially apply; Pythagoras theorem for the triangle, and algebra for the rectangle. The Pythagorean theorem applies to right angle triangles and is expressed as x² + y² = h² where 'x' and 'y' are sides and 'h' is the hypotenuse. In a rectangle, to find 'x' related to an equation like y = 9 + 3x, you substitute values for 'y' and solve for 'x'. An example is given in Table A1 where we see an instance of substituting values for 'x' and then calculating what value of 'y' results. These points are then plotted on a graph.

Learn more about Pythagoras theorem and Algebra

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