One positive number exceeds another by 4​, and their product is 60. Find the numbers.

Answers

Answer 1
It’s 6 and 10, 6+4=10 and 6*10=60

Related Questions

The hexagon GIKMPR and FJN are regular. The dashed line segments form 30 degree angles.
What is? (attached)

Answers

The dashed line segments form 30-degree angles in the given diagram of a regular hexagon and triangle.

In the given diagram, hexagon GIKMPR and triangle FJN are regular. The dashed line segments form 30-degree angles.

Since hexagon GIKMPR is regular, all its interior angles are equal. Each angle of a regular hexagon is 120 degrees, so angle GIK is 120 degrees.

The angle at GIK can be split into two equal angles by the dashed line segment, so each of these angles measures 60 degrees.

Similarly, since triangle FJN is regular, each of its angles measures 60 degrees.

Therefore, the dashed line segments form two 30-degree angles each side of the regular hexagon and triangle.

The correct answer is option d. The image of [tex]\overline{OQ}[/tex] after a rotation of 300 degrees about point O is [tex]\overline{OF}[/tex].

To find the image of line segment [tex]\( \overline{OQ} \)[/tex] after a rotation of [tex]\( 300^\circ \)[/tex] about point O, we need to understand that a rotation of [tex]\( 300^\circ \)[/tex] is equivalent to rotating [tex]\( 60^\circ \)[/tex] clockwise. This is because rotating [tex]\( 360^\circ \)[/tex] would bring us back to the original position, so a rotation of [tex]\( 300^\circ \)[/tex] is the same as rotating [tex]\( 360^\circ - 60^\circ = 300^\circ \)[/tex].

Given that line segment [tex]\( \overline{OQ} \)[/tex] forms a [tex]\( 30^\circ \)[/tex] angle with the dashed lines, after a rotation of [tex]\( 300^\circ \)[/tex], it will form a [tex]\( 30^\circ \)[/tex] angle with the new position of the dashed lines.

Therefore, the image of line segment [tex]\( \overline{OQ} \)[/tex] after the rotation is [tex]\( \overline{OF} \)[/tex].

The complete question

The hexagon GIKMPR and FJN are regular. The dashed line segments form 30 degree angles.

Find the image of [tex]\overline{OQ}[/tex] after a rotation of 300 degree about point O.

a. [tex]\overline{OJ}[/tex]

b. [tex]\overline{OH}[/tex]

c. [tex]\overline{OQ}[/tex]

d. [tex]\overline{OF}[/tex]

Which expression is equal to (5−2i)−(1+3i)?


4+3i
4+i
6−5i
4−5i


Which expression is equal to −2i(−9+6i) ?


−12+18i
18−12i
18+12i
12+18i

Answers

first one is 4-5i

second one is 12+18i

The expression (5−2i)−(1+3i) is equal to 4−5i option (d) is correct and the expression  −2i(−9+6i) is equal to 12+18i option (c) is correct.

What is a complex number?

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

It is given that:

(5−2i)−(1+3i)

After using distributive property:

= 5 - 2i - 1 - 3i

= 4 -5i

−2i(−9+6i)

After using distributive property:

= 18i - 12(i)²

= 18i - 12(-1)

= 18i + 12 = 12 + 18i

Thus, the expression (5−2i)−(1+3i) is equal to 4−5i option (d) is correct and the expression  −2i(−9+6i) is equal to 12+18i option (d) is correct.

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Which is a property of an angle?

has two sides that each extend forever in both directions
has two endpoints
has two center points
has two rays that share a common endpoint

Answers

its ¨has two rays that share a common endpoint¨

Answer:

has two rays that share a common endpoint

Step-by-step explanation:

An angle is formed by a two rays that share a common endpoint.  The distance between the two rays is what makes the measure of the angle wider or smaller.  Each ray extends in one direction forever; however since they share an endpoint, the rays do not extend in both directions forever.  There is only one endpoint, not two, and there is only one center point (vertex), not two.

round 4,719,429 to the nearest 10,000

Answers

Your answer should be 4,719,000
4,720,000. das the answer

Which graph represents the solution set of the system of inequalities?

x+y<1
2y≥x−4
 
I think its the one in the top right corner (the highlighted one)

Answers

Solve first for the solution of the inequalities. This can be done by replacing first the inequalities sign with the equal sign. 

x + y = 1
2y = x - 4

The values of x and y from the system of linear equation are 2 and -1. This means that the intersection of the lines should be at point (2, -1). 

Substitute 3 to x and determine the value of y from the second inequality.
 2y ≥ x - 4

Substituting,
  2y ≥ 3 - 4, y ≥ -1/2

Hence, the solution to this item should be the fourth one. 

What is the maximum value for the function on the interval [-2,3]?
a. -1
b. 2
c. 3
d. 4

Answers

I think its number 2
Between -2 and 3, the highest y-value is 2.

So, 2 is the maximum for the given function.

Identify the horizontal translation of the parent function f(x) = x^2
Y= (x+5)^2

Answers

It will translate 5 to the left.

Car insurance that pays for your injuries when you're in an accident in your car is _______ insurance. 

       A. collision   B. liability   C. comprehensive   D. medical

Answers

Answer is D. Medical Insurance
Liability insurance has bodily injury coverage and property damage coverage

A tree that is 50 feet tall casts a shadow that is 60 feet long. Find the angle of elevation to the nearest degree of the sun

Answers

To find the angle of elevation of the sun, set up a right triangle with the height of the tree and the length of the shadow.

To find the angle of elevation of the sun, we need to set up a right triangle with the height of the tree (50 feet), the length of the shadow (60 feet), and the line from the top of the tree to the end of the shadow.

Using the information given, we can apply the tan(angle) = opposite/adjacent formula to find the angle of elevation.

By calculating the inverse tangent of the ratio of the height of the tree to the length of the shadow, we can determine the angle of elevation to be approximately 45 degrees.

The angle of elevation to the nearest degree of the sun is approximately 40 degrees.

To find the angle of elevation to the sun, we can use the tangent function in trigonometry.

Let's denote:

- Height of the tree = h = 50 feet

- Length of the shadow = b = 60 feet

The tangent of the angle of elevation (θ) is given by:

tan(θ) = opposite / adjacent

tan(θ) = h / b

Substitute the given values:

tan(θ) = 50 / 60

tan(θ) = 5 / 6

Now, to find the angle θ, we need to take the arctangent (inverse tangent) of the ratio:

θ = arctan(5/6)

θ ≈ 39.8 degrees

Therefore, the angle of elevation to the nearest degree of the sun is approximately 40 degrees.

Brainliest for the correct answer
What is the effective rate of a $30,000 non-interest-bearing simple discount 5%, 60-day note? A. 6.0% B. 5.14% C. 5.04% D. 5%

Answers

The effective rate of a $30,000 non-interest-bearing simple discount 5%, 60-day note would be C) 5.04%.

A container is holding 2 1/3 liters of water.only 2/5 of the container is filled.how much will the whole container hold?

Answers

The whole container can hold [tex]5\frac{5}{6}[/tex] liters, calculated by setting up a proportion based on the part of the container currently filled with water ([tex]2\frac{1}{3}[/tex]  liters representing 2/5 of the container).

To determine the full capacity of the container, we set up a proportion. Since [tex]2\frac{1}{3}[/tex]  liters represent 2/5 of the container's capacity, we want to find out how much 5/5 (the whole) of the container can hold. To set up the proportion, we have:

(2/5) of the container = [tex]2\frac{1}{3}[/tex]  liters
(5/5) of the container = x liters
Then, we multiply [tex]2\frac{1}{3}[/tex]  liters by 5/2 to solve for x:

x = ([tex]2\frac{1}{3}[/tex] liters) * (5/2)

x = (7/3 liters) * (5/2)

x = 35/6 liters

x =  [tex]5\frac{5}{6}[/tex] liters

So the whole container would hold  [tex]5\frac{5}{6}[/tex] liters.

There are (32)4 ⋅ 30 bacteria in a petri dish. what is the total number of bacteria in the dish? (1 point)

Answers

the total number of bacteria in the dish is 3840

Answer:

[tex]3^{8}[/tex]

Step-by-step explanation:

[tex]3^{8}[/tex]x1 any expression multiplied by 1 remains the same

alternative form - 6561

Square GHIJ shares a common center with regular hexagon ABCDEF on a coordinate plane. AB¯¯¯¯¯ is parallel to GH¯¯¯¯¯. If the combined figure rotates clockwise about its center, at which angle of rotation will the image coincide with the preimage?

60°

180°

90°

240°

Answers

a square needs to rotate 90 to coincide with  itself

 but the hexagon would need to rotate 180

the answer is 180 degrees

Answer:

Option B 180° is the right answer.

Step-by-step explanation:

Given is : GHIJ is a square and ABCDEF is a regular hexagon having common centre O.

We know that a square is symmetric at a rotational angle of 90°.

A regular hexagon is symmetric at a rotational angle of 60°.

We will find the LCM of 90 and 60, to know how much to rotate, to get a preimage.

Moreover, a hexagon needs to rotate 180 degrees to coincide with itself.

LCM(60°,90°)=180°.

So, the correct option is B. 180°.

Julio has a house worth $220,000. He has a $175,000 mortgage. Julio says that in this situation, his asset is really only $45,000. Which statement explains whether Julio is correct?

A. Julio is correct because the $45,000 equity in the house is the real asset.

B. Julio is correct because he can pay $45,000 and have no more liabilities.

C. Julio is not correct because the same item cannot represent both an asset and a liability.

D. Julio is not correct because the house cannot be worth more than the mortgage.

Answers

A.

He owes 175000, but the house is worth 220000
Equity (or an asset) is equal to how much something is worth minus how much you still owe

220000-175000 = 45000

The statement that explains whether Julio is correct is: A .Julio is correct because the $45,000 equity in the house is the real asset.

What is asset?

Asset is anything that add value to you or things that are valuable. Example of assets are:

BuildingEquipmentLand etc

Real asset=House worth-- Mortgage

Real asset=$220,000-$175,000

Real asset=$45,000

Based on the information given we are told the asset was only $45,000 which means that the $45,000 equity in the house is the real asset.

Inconclusion the statement that explains whether Julio is correct is: A .Julio is correct because the $45,000 equity in the house is the real asset.

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What is the difference between a sample mean and the population mean called?

Answers

Median is the middle and mean


Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a radius of 7 inches.

Part 1: What is the angle measure, in degrees and rounded to the nearest tenth, through which the larger gear has rotated when the smaller gear has made one complete rotation?

Part 2: How many rotations will the smaller gear make during one complete rotation of the larger gear?

Show all work.

Answers

A)circumfrence of smaller gear is 6pi while circumference of larger gear is 14pi. thus 6pi of the 14pi would be turned so 0.4257 of the larger gear would be turned. 0.4257*360 would give us the angle, 154.3 degrees.
B)since the circumference of the larger gear is 14pi in one rotation the smaller gear would have rotated a length of 14pi. Thus 14pi/6pi=2.3 or 7/3 rotations.

A pattern for 1 uniform uses 12 yards of material. Boleslaw wants to know how many yards are needed for 8 uniforms. Chantal wants to know how many yards she will need to make 15 uniforms.

Answers

1 uniform = 12 yards of material
8 uniforms = 12 x 8 = 96 yards of material
15 uniforms = 15 x 12 = 180 yards of material

The number of yards that she will need to make 8 uniforms and 15 uniforms will be 96 yards and 180 yards, respectively.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A pattern for 1 uniform uses 12 yards of material. Boleslaw wants to know how many yards are needed for 8 uniforms will be given as,

⇒ 8 x 12

⇒ 96 yards

Chantal wants to know how many yards she will need to make 15 uniforms will be given as,

⇒ 15 x 12

⇒ 180 yards

The number of yards that she will need to make 8 uniforms and 15 uniforms will be 96 yards and 180 yards, respectively.

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simplify 1/5 b - 5 (2/5 a - 1/10 b) +4 a
simplify
A 2a - 3/10 b
B 2a + 7/10 b
C 2a - 7/10 b
D 2a +3/10 b

Answers

the answer to this question is letter c

To earn a fitness award, your average heart rate while walking must be between 80 and 89 beats per minute, inclusive. Suppose you recorded 85, 81, and 87 beats per minute on your first three recordings. What are the possible heart rates you can have on the fourth and final recording in order to earn a fitness award?

Answers

Based on the first three (3) recordings, your average heart rate in beats per minute is approximately 84 bpm (mean). Calculating for the standard deviation of the samples, we get about 2.5 bpm. To give the possible heart rates on the fourth, we may solve for the range:

Upper Range = Mean + Standard Deviation = 84 + 2.5 = 86.5 bpm or 87 bpm
Lower Range = Mean - Standard Deviation = 84 - 2.5 = 81.5 bpm or 82 bpm

Therefore the fourth and final recording will likely to fall in the range of 82 - 87 beats per minute. You will win the fitness award!

ANSWER: 82-87 beats per minute

Answer:

between 67 and 103 beats per minute inclusive

As a student you are able to earn extra money by assisting your neighbors with odd jobs if you charged $10.25 an hour for your assistance about how many hours would you need to work earn $8,425

Answers

8425÷10.25=821.95 hours
821.95
this is because I done 8,425 divided by 10.25

















A graph of a quadratic function y = f(x) is shown below.

Answers

We are given a graph of a quadratic function y = f(x) .

We need to find the solution set of the given graph of a quadratic function .

Note: Solution of a function the values of x-coordinates, where graph cut the x-axis.

For the shown graph, we can see that parabola in the graph doesn't cut the x-axis at any point.

It cuts only y-axis.

Because solution of a graph is only the values of x-coordinates, where graph cut the x-axis. Therefore, there would not by any solution of the quadratic function y = f(x).

So, the correct option is 2nd option :∅.

Answer:

Option B. ∅

Step-by-step explanation:

If a quadratic function f(x) is in the form of f(x) = ax²+bx+c then the solution of the function is the value of x.

If we analyze the graph for f(x) ≤ 0 solution of the function is null because parabola doesn't intercept at x axis.

Therefore there is no solution for the graphed function f(x).

Option B is the answer.

Monica went to the fair and paid for her lunch as well as tickets to ride several rides. The expression 1.5x + 9 represents her total costs.

What do the different parts of the expression model?



Drag the parts of the expression into the boxes to match each description.


Cost of lunch Number of ride tickets Total cost of ride tickets

Answer choices: 9, 1.5, x, 1.5x

Answers

She ate only one lunch, so the cost of the lunch is a constant - it is the 9

9 - cost of lunch

Now, we don't know how many rides she took- it will be represented by a variable, x, 

x-number of rides

and each ride must have cost 1.5

1.5- cost of each ticket

so 1.5x was the total cost of the ride tickets

and 1.5x+9 is the total cost!


Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula? Quadratic formula: x =

Answers

Answer:

[tex]x_{1,2}=\frac{-(-2)\pm\sqrt{(-2)^2-4\cdot (-3)\cdot 6} }{2(-3)}[/tex] shows correct substitution of the values a, b, and c  from the given quadratic equation  [tex]-3x^2-2x+6=0[/tex]  into quadratic formula.

Step-by-step explanation:

Given: The quadratic equation [tex]-3x^2-2x+6=0[/tex]

We have to show the correct substitution of the values a, b, and c from the given quadratic equation  [tex]-3x^2-2x+6=0[/tex]  into quadratic formula.

The standard form of quadratic equation is [tex]ax^2+bx+c=0[/tex] then the solution of quadratic equation using quadratic formula is given as [tex]x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Consider the given  quadratic equation [tex]-3x^2-2x+6=0[/tex]

Comparing with general  quadratic equation, we have

a = -3 , b = -2 , c = 6

Substitute in quadratic formula, we get,

[tex]x_{1,2}=\frac{-(-2)\pm\sqrt{(-2)^2-4\cdot (-3)\cdot 6} }{2(-3)}[/tex]

Simplify, we have,

[tex]x_{1,2}=\frac{2\pm\sqrt{76} }{-6}[/tex]

Thus, [tex]x_{1}=\frac{2+\sqrt{76} }{-6}[/tex] and x_{2}=\frac{2-\sqrt{76} }{-6}

Simplify, we get,

[tex]x_1=-\frac{1+\sqrt{19}}{3},\:x_2=\frac{\sqrt{19}-1}{3}[/tex]

Thus, [tex]x_{1,2}=\frac{-(-2)\pm\sqrt{(-2)^2-4\cdot (-3)\cdot 6} }{2(-3)}[/tex] shows correct substitution of the values a, b, and c  from the given quadratic equation  [tex]-3x^2-2x+6=0[/tex]  into quadratic formula.

You can use the standard form of quadratic equation to find the correct substitution of the values a, b and c.

The correct substitution of the value a,b and c from the given quadratic equations into the solution form is [tex]x = \dfrac{-(-2) \pm \sqrt{(-2)^2 - 4 \times -3 \times 6}}{2 \times (-3)}[/tex]

What is the standard form of quadratic equations?

The standard form of quadratic equations is [tex]ax^2 + bx + c = 0[/tex]

What are the solutions of standard quadratic equation?

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

From given equation [tex]0 = -3x^2 -2x + 6[/tex], we deduce that a = -3, b = -2 and c = 6.

Thus, substituting these values in the solutions' equation:

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\ \\ x = \dfrac{2 \pm \sqrt{4 + 72}}{-6} = \dfrac{2\pm 2\sqrt{19}}{-6} = \dfrac{-1 \mp 2\sqrt{19}}{3}[/tex]

Thus, the correct substitution of the value a,b and c from the given quadratic equations into the solution form is [tex]x = \dfrac{-(-2) \pm \sqrt{(-2)^2 - 4 \times -3 \times 6}}{2 \times (-3)}[/tex]

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what percent is the fraction 2/10 equal to

Answers

the fraction 2/10 is equal to 20%
2 / 10 = 0.2

0.2 as a percent is 20%

Your answer is 20%

How could you confirm that a transformation is not a rigid motion by using a protractor

Answers

Final answer:

To confirm that a transformation is not a rigid motion, use a protractor to check for any changes in angles within a shape post-transformation. If the angles have changed, the transformation is not rigid. Corresponding side length changes further confirm this.

Explanation:

To confirm that a transformation is not a rigid motion using a protractor, you must look for changes in the shape's size or the angles between any two adjacent sides. A rigid motion, also known as an isometry, will preserve distances and angles between all points on a shape. Therefore, if after a transformation, using a protractor shows that the angles within the shape have changed, or that the corresponding sides are not congruent, then the transformation is not a rigid motion.

For example, if you have a triangle and apply a transformation, such as dilation or shearing, the new angles can be measured with a protractor. If they are different from the original triangle's angles, this confirms the transformation was not a rigid motion. Additionally, if the distances between corresponding points on the figure have changed, which you can measure with a ruler, this also confirms that the transformation is not rigid.

Which of the following are always classified as a trapezoid? Select all that apply.
A. quadrilaterals
B. parallelograms
C. rectangles
D. rhombuses
E. squares

Answers

c d e anything with 4 sides

Answer:

everything except for a quadrilateral

Step-by-step explanation:

Which of the following is the linear parent function

Answers

Answer: The answer is C.

A Linear parent function is a function of the form f(x) = x

or y = x. This is the simplest of the linear functions, where the slope is 1 and the function pases for the point (0,0) (which is the same of saying that the intercept is 0).

a) isnt a linear function.

b) is a quadratic function.

d) is also a linear function, but it has a slope = 2, so it isn't the linear parent function.

On an average day, 38 customers buy a bag of grapes at Jerry's Market. There are an average of 47 grapes in each bag. Round to the nearest ten and then multiply to estimate the number of grapes Jerry's customers buy every day.

Answers

round 38 to 40. round 47 to 50. then multiply the numbers together: 40 x 50 = 2000
your answer is 2000 i think,

Answer:

40 x 50 = 2,000

Step-by-step explanation:

When we round a number, first identify the digit to round. Then proceed with the following two rules:

(a) If the number to the right of the digit to round is 0, 1, 2, 3, or 4 (that is, less than 5), then keep the digit to round and change the rest of the digits to the right of the digit to round to zero.

(b) If the number to the right of the digit to be rounded is 5, 6, 7, 8, or 9 (that is, greater than or equal to 5), then add one to the digit to round and change the rest of the digits to the right of the digit to round to zero.

In our case, we apply the two rules, rounding to the nearest ten, as follows:

For 38 = 40

Apply rule (b) since 8 is greater than or equal to 5, then add 1 to 3 to get 4, then change 8 to zero. The result is 40.

For 47 = 50

Apply rule (b) since 7 is greater than or equal to 5, then add 1 to 4 to get 5, then change 7 to zero. The result is 50.

Now, multiply to estimate the amount of grapes that Jerry customers buy every day.

40 x 50 = 2,000

Hope this helps!

Give the name of a quadrilateral that is formed when you have two bisected diagonals.

Answers

The answer for that question is square

What is the inverse of f(x) =1/3 x + 2?

Answers

Answer:

h(x)=  3x - 6

Step-by-step explanation:

Edge 2020

The inverse of function f(x) =  [tex]\frac{1}{3}x + 2[/tex]  is -

y = 3(x - 2)

We have a function - f(x) = [tex]\frac{1}{3}x + 2[/tex]

We have to find the inverse of a function.

What is the necessary condition for a function to be invertible?

We say that a function f : A → B is invertible if for every b ∈ B there is exactly one a ∈ A such that f(a) = b.

According to question, we have -

y = f(x) =  [tex]\frac{1}{3}x + 2[/tex]

Replace x with y, to find inverse function f, and compute the resulting equation for x. Exchanging the variables, we get -

x =   [tex]\frac{1}{3}y + 2[/tex]

x - 2 = [tex]\frac{1}{3} y[/tex]

y = 3(x - 2)

Hence, the inverse of function f(x) =  [tex]\frac{1}{3}x + 2[/tex]  is -

y = 3(x - 2)

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