The sum of two numbers is 55 and the difference is 7. What are the numbers?

larger number:
smaller number:

Answer:45

Step-by-step explanation:

24/6  

24 can be divided by 6. 6 * 4 = 24.

24/6 = 4/1 = 4

To be a quadratic equation, the first number has to be rasied by the power of 2.

The answer would be c(x) = -8x^2 + 3x-5

Answer:

The correct option isC(x) -8x² + 3x - 5                              

Step-by-step explanation:

Quadratic function is a function that can be written as in the form of               f(x) = ax² + bx + c, where a ≠ 0.

In a quadratic function, the greatest power of the variable is 2.

So, there is only one function from provided options which has greatest power is 2.

Hence, the correct option is C(x) -8x² + 3x - 5

Answer: $20.84

Step-by-step explanation: In order to calculate Tony’s minimum payment you need to calculate how much 15% is of his balance.

138.90 x .15 = $20.84, which is 15% of his balance.

The minimum payment is the greater of 15% or $20, so his minimum payment will be $20.84.

The answer is $188.90. If I am wrong, please correct me.

Answer:

See explanation

Step-by-step explanation:

1. To graph the inequality y<3x-4, you need to plot dotted line y=3x-4 and then shade the part that doesn't contain the origin, because 0<3·0-4 is false statement. This is red region on the coordinate plane below.

2. To graph the inequality y≥-1/2x+3, you need to plot solid line y=-1/2x+3 and then shade the part that doesn't contain the origin, because 0≥-1/2·0+3 is false statement. This is blue region on the coordinate plane below.

3. The common part of two regions is the solution of the system of two inequalities.

To graph the system of linear inequalities, start by graphing the lines y = 3x - 4 and y = -1/2x + 3 as dashed lines. Then, shade the correct regions based on the inequality signs and find the overlap to determine the solution.

The given system of linear inequalities is:

y < 3x - 4

y ≥ -1/2x + 3

To graph these inequalities, we can start by graphing the lines y = 3x - 4 and y = -1/2x + 3 as dashed lines, since they are not included in the solution region.

Next, we can shade the correct region based on the inequality signs. For y < 3x - 4, we shade below the line, and for y ≥ -1/2x + 3, we shade above the line. The overlap of the shaded regions represents the solution to the system of inequalities.

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Answer:

1200

Step-by-step explanation:

Aa=At+As

As=L•h

=20(30)

As=600

At=½(b)h b=10+10+20=40

=½(40)30

At=600

Aa=600+600

Aa=1200

The area of an arrow is the sum of the area of the triangle and the area of the rectangle. Then the area of the arrow is 1,200 square inches.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Given

The dimension of the arrow is shown in the figure.

The area of an arrow is the sum of the area of the triangle and the area of the rectangle.

The area of the triangle will be

[tex]\rm Area \ of \ triangle = \dfrac{1}{2} 40 * 30\\\\Area \ of \ triangle = 600[/tex]

The area of the rectangle will be

[tex]\rm Area \ of \ rectangle= } 20* 30\\\\Area \ of \ rectangle = 600[/tex]

Then the area of an arrow will be

[tex]\rm Area \ of \ arrow= 600 + 600\\\\Area \ of \ arrow = 1200[/tex]

Thus, the area of the arrow is 1,200 square inches.

More about the geometry link is given below.

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Step-by-step explanation:

3) adjacent angles add up to 180°

4)substitution property of equality

5) subtraction property of equality

Answer:

Option B

Step-by-step explanation:

The Triangle given is ΔABC.

It is reflected over l mirror so it will form a image like ΔQRS.

Again the triangle is reflected over mirror m so it will form a image like ΔXYZ.

Answer:

5 cubic units

Step-by-step explanation:

If each cube represents 1 cubic unit, then the volume will be the number of cubes to make the figure. When you count, there are 5 cubic units. The volume is 5.

The answer is A.)(-3,1) , (-3,5) , (0,5)

Hope this helps! :)

Let's do these in steps. Remember to show your work

#1. Convert into a improper fraction.

3 x 2 x 1 over 2cm.

#2. Simplify 3 x 2 to 6.

6 + 1 over 2cm.

#3. Change 6+1 to 7.

7 over 2m.

We finally get 7 over 2, but that rounded would be 7. So B would be our answer.

Hey there!

The correct answer should be 12

Since there are 3 different pizza sizes & 4 different toppings, all we have to is multiply 3 by 4 (number of pizza sizes multiplied by the number of toppings)

3 * 4 = 12

Here is the work:

1. Small with pepperoni

2. Medium with pepperoni

3. Large with pepperoni

4. Small with sausage

5. Medium with sausage

6. Large with sausage

7. Small with green pepper

8. Medium with green pepper

9. Large with green pepper

10. Small with mushroom

11. Medium with mushroom

12. Large with mushroom

As you can see, there are 12 options

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

Because the formula is rise over run, it would be 3/12, and simplified is 1/4.

Answer:

Johnathan

Step-by-step explanation:

Answer: The answer is: Jonathan ran further.

Step-by-step explanation: First, 1 kilometer (km )= 1,000 meters (m)

Then,multiply 5 times 1,000 because Jonathan ran 5 kilometers and were using meters. (We’re converting. )The answer for that is 5,000 meters. Remember to change kilometers to meters! This is greater than of that of Rob did. ( 4,250 meters. ) So,we know that Jonathan ran further then Rob.

Answer:

[tex]\large\boxed{\dfrac{C}{d}=\pi}[/tex]

Step-by-step explanation:

We have the radius r = 9.

The formula of a circumference of a circle:

[tex]C=2\pi r[/tex]

The diameter d = 2r.

The ratio of the circumference of the circle to the circle's diameter:

[tex]\dfrac{C}{d}=\dfrac{2\pi r}{2r}=\pi[/tex]

Answer:

B. 0

Step-by-step explanation:

The line x = -3 is vertical, thus undefined, because there is no y in the equation. The slope that is perpendicular to an undefined one is 0.

x = 3 is a vertical line.

A line perpendicular to x = 3 is a horizontal line.

A horizontal line has slope = 0.

General formula for a straight line

The general formula for a straight line is ‘y=mx+c'.

But in the equation ‘x = -3’, ‘y' isn't present meaning that the line is independent of ‘y' which is true for a line parallel to the ‘y-axis'. This case can be compared to a generic equation ‘x=a' where a is the distance of the parallel line (to y-axis') from the origin.

This line represents a parallel line to the y-axis which is 3 units left side from the origin.

Now about calculating the slope, we can use the formula ‘m = tan ϴ’

where ‘m' is the slope and ‘ϴ’ is the angle of the line with the X-axis.

Here the value of ϴ is 90° as it is parallel to the y-axis. So the line perpendicular to it will surely have ϴ=0°. Which will be parallel to the

x-axis.

Another method of explaining this can be, for ϴ=90°, m=tan(90),

so m= infinity. if the slope of the line parallel to it is ’n', the relation between the slope of two perpendicular lines is ‘[tex]m*n=-1[/tex]’. Putting the value of ‘m=infinity' we get ‘n=0’.

Now for getting n=0 the angle must be O° as tan(0°)=0 which is nothing but a line parallel to the x-axis.

Therefore, the correct answer is option B.0.

To learn more about the general formula for a straight line

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Answer:

400

Step-by-step explanation:

20/100 = 80/x

Cross multiply and divide

100 X 80 = 8000 / 20 = 400

The total deer population in the forest will be 400. Then the correct option is B.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Suppose we need to track down the size of a deer populace. Assume that we catch 80 deer, label them, and deliver them back into the timberland. After some time has elapsed - permitting the noticeable deer to completely blend in with the remainder of the populace - we return and catch another 100 deer. Out of these deer, we observe that 20 are as of now checked.

Then the ratio of the number of tag deer to the total deer will be constant. Then the equation is given as,

20 / 100 = 80 / x

x = 80 × (100/20)

x = 400

The total deer population in the forest will be 400. Then the correct option is B.

More about the ratio and the proportion link is given below.

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Final answer:

Algebra and algorithm are mathematical terms originating from al-Khwarizmi, a prominent Arab mathematician.

Explanation:

Algebra and algorithm are two mathematical terms that originated from the Arabic mathematician al-Khwarizmi. Al-Khwarizmi's work in the ninth-century book 'ilm al-jabr wa'l-muqabala laid the foundation for these terms and significantly influenced the field of mathematics.

equation is:

[tex] f(x) = \frac{x}{ {x}^{2} - 1 } [/tex]

so if its even f(-x) should be equal to f(x)

that means

[tex]f( - x) = \frac{ - x}{ {( - x)}^{2} - 1} \\ \\ f( - x) = - \frac{ x}{ {x}^{2} - 1} [/tex]

so f(x) is not equal to f(-x) so its not even

If its odd than f(-x) should be equal to -f(x)

[tex] - f(x) = - ( \frac{ x}{ { x}^{2} - 1 } ) \\ - f(x) = - \frac{ x}{ {x}^{2} - 1 } [/tex]

so as we can see f(-x)= - f(x)

so the function is odd

Ans:function is odd and not even

By replacing x with -x in the given function X/(x^2-1), we find that it doesn't fulfill the criteria for even or odd functions. Therefore, the function is neither odd nor even.

To determine whether the function X/(x^2-1) is odd, even or neither, you can plug in -x into the function and simplify. For a function to be considered even, f(x) should be equal to f(-x). For a function to be considered odd, f(-x) should be equal to -f(x).

For the given function X/(x^2-1), after replacing x with -x, we get -X/((-x)^2 - 1) which simplifies to -X/(x^2 - 1). Since f(-x) is not equal to f(x) or -f(x), the function is neither odd nor even.

Generally, an even function is symmetrical around the y-axis. That is, if you fold the graph of the function over the y-axis, both halves align. On the other hand, an odd function is symmetric about the origin. That is when the graph is rotated 180 degrees about the origin, the graph remains unchanged.

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Answer:

A  (-7)

Step-by-step explanation:

compare y = −7x + 9 to the slope-intercept form of the equation of a straight line:          y = mx + b.

Here -7 corresponds to the slope, m, and 9 corresponds to the y-intercept, b.

The slope of the line represented by y = −7x + 9 is thus A (-7).

Final answer:

The slope of the equation 'y = -7x + 9' is represented by the coefficient of x, which is -7. Thus, the slope of the line is -7.

Explanation:

The equation given is y = -7x + 9. In this equation, -7 is the coefficient of x, and according to the slope-intercept form of a linear equation, which is y = mx + b, the coefficient m represents the slope of the line. Therefore, the slope of the equation y = -7x + 9 is -7.

To confirm, consider that the slope is the amount by which y changes for a unit change in x. So if you were to plot this line, for every one unit increase in x, y would decrease by 7 units, indicating a negative slope. This is consistent with the negative sign in front of the 7 in the equation. Hence, the correct answer is A. -7.

H20 (liquid)- H20(gas)

The Enthalpy change for the above process can be written as:

ΔH=ΔHgas−ΔHliquid

and let us assume the claim in the question is right i.e

ΔHgas>ΔHliquid

Answer:

Area = 102

Step-by-step explanation:

Length 1 side of the octagon.

The formula for the side of an octagon (given the radius of 6) is

s^2 = 2*R^2(1 - cos(45) )

s^2 = 2*6^2(1 - sqrt(2)/2)

s^2 = 72 ( 1 - 0.707)

s^2 = 72*0.2929

s^2 = 21.09

s = sqrt(21.09)

s = 4.5922

===============

Height of one triangle =

H = R * cos(22.5)

H = 6 * 0.9329

H = 5.5433

===============

Area of 1 triangle

Area = 1/2 * s * h

Area = 1/2 * 4.5922*5.4433

Area = 12.7279

Area of 8 triangles

Area of 8 triangles =  1 triangle * 8

Area of 8 triangles = 101.82

Rounded that comes to 102

Comment

I'm sure you can find a formula for this on the internet, but it this is the way the formula works and if you break it down step by step, you can see how the formula works.

bc = fg

the letters should correspond with each other

(b is in the middle of abc and f is in the middle efg; c & g are both at the end)

Answer:

9

Step-by-step explanation:

54 makes this real easy. 54 is 9*6 so it would take 9 six liter buckets to fill the tank.

Answer:

9 buckets

Step-by-step explanation:

54 can be split into two numbers that are easier to divide by six

30 and 24

both of these divided by six come to

5 and 4

add these together and you get the answer 9

Answer:

The percentage of students who eat breakfast given that they are int the 10-13 age bracket is 74%

Step-by-step explanation:

Just took it on algebra nation

The true statement is that, "the percentage of students who eat breakfast given that they are int the 10-13 age bracket is 74%".

A survey is a review that is  constructed in the form of questions to which the participants are required to respond honestly. The review is often targeted at obtaining vital ionformation that could be used for decision making.

Looking at the table, the true statement is that, "the percentage of students who eat breakfast given that they are int the 10-13 age bracket is 74%".

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Answer:

349 lb

Step-by-step explanation:

This is a division problem.

4,886 lb is 14 trips means (4,886 lb)/14 in each trip.

4,886/14 = 349

Answer: 349 lb

Answer:

349

Step-by-step explanation:

I did 4,886 divided by 14=349

Answer:

80

Step-by-step explanation:

times it all

Answer:

68 in^2

Step-by-step explanation:

Bottom and Top

base of parallelogram  = 4*4 = 16

Since there are two of them, the area = 2 * 16 = 32

left and right faces

I think you have to assume this is a  rectangle. We do not know the height for a parallelogram.

Area = l*w

Area = 4 * 2.5

Area = 10 in^2

But there are two of them.

Area = 2* 10 = 20 in^2

Front and back faces

The area is the area of a parallelogram

Area = b * h

Area = 2 * 4

Area = 8 in^2

But there are 2 of them

The area for 2 is 8*2 = 16 in^2

Total Area

Total Area = 16 + 20 + 32

Total Area = 68 in^2  

Answer:

[tex]m<A.M.E=58\°[/tex]

Step-by-step explanation:

step 1

Find the measure of angle M.E.F

we know that

In an inscribed quadrilateral opposite angles are in fact supplements for each other

so

[tex]m<M.A.F+m<M.E.F=180\°[/tex]

[tex]m<M.E.F=180\°-75\°=105\°[/tex]

step 2

Find the measure of arc M.A.F

we know that

The inscribed angle measures half that of the arc comprising

so

[tex]m<M.E.F=\frac{1}{2}(arc\ M.A.F)[/tex]

we have

[tex]m<M.E.F=105\°[/tex]

substitute

[tex]105\°=\frac{1}{2}(arc\ M.A.F)[/tex]

[tex]arc\ M.A.F=210\°[/tex]

step 3

Find the measure of arc A.F

[tex]arc\ M.A.F=arc\ A.M+arc\ A.F[/tex]

we have

[tex]arc\ M.A.F=210\°[/tex]

[tex]arc\ A.M=125\°[/tex]

substitute

[tex]210\°=125\°+arc\ A.F[/tex]

[tex]arc\ A.F=210\°-125\°=85\°[/tex]

step 4

Find the measure of angle A.M.E

we know that

The inscribed angle measures half that of the arc comprising

so

[tex]m<A.M.E=\frac{1}{2}(arc\ A.F.E)[/tex]

we have

[tex]arc\ A.F.E=arc\ A.F+arc\ E.F=85\°+31\°=116\°[/tex]

substitute

[tex]m<A.M.E=\frac{1}{2}(116\°)=58\°[/tex]

The angle ∠AME is the angle subtended at the circumference by the arc [tex]m \widehat{EFA}[/tex].

Correct response:

The given parameters are;

[tex]m \widehat{AM}[/tex] = 125°

[tex]m\widehat{EF}[/tex] = 31°

m∠MAF = 75°

Required:

m∠AME

Solution:

[tex]m \widehat{MEF}[/tex] = 2 × m∠MAF

Therefore;

[tex]m \widehat{MEF}[/tex] = 2 × 75° = 150°

[tex]m \widehat{AM}[/tex] + [tex]m \widehat{MEF}[/tex] + [tex]m \widehat{FA}[/tex] = 360° sum of arcs of a circle postulate

Therefore;

[tex]m \widehat{FA}[/tex] = 360° - ([tex]\mathbf{m \widehat{AM}}[/tex] + [tex]\mathbf{m\widehat{MEF}}[/tex])

Which gives;

[tex]m\widehat{FA}[/tex] = 360° - (125° + 150°) = 85°

Therefore;

[tex]m\widehat{EFA}[/tex] = 85° + 31° = 116°

[tex]m \widehat{EFA}[/tex] = 2 × m∠AME (angle at center is twice angle at the circumference)

Therefore;

[tex]m\angle AME = \mathbf{\dfrac{m \widehat{EFA}}{2} }[/tex]

[tex]m \angle AME = \dfrac{116^{\circ}}{2} = 58^{\circ}[/tex]

Learn more about circle theorems here:

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Answer:

The answer in the attached figure

Step-by-step explanation:

we have

[tex]4x + 2y = -2[/tex] -----> equation A

[tex]x-3y=24[/tex] -----> equation B

Isolate the variable x in the equation B

[tex]x=3y+24[/tex] ----> substitute in the equation A and solve for y

[tex]4(3y+24) + 2y = -2[/tex]

[tex]12y+96+ 2y = -2[/tex]

[tex]14y = -2-96[/tex]

[tex]14y = -98[/tex]

[tex]y = -7[/tex]

Find the value of x

[tex]x=3(-7)+24=3[/tex]

The solution of the system of equations is the point (3,-7)