Problem Solving

Nicholas is 32 years older than Martina. 9 years ago the sum of their ages was 56. How old is each now?

Answers

Answer 1

Answer:

make variables and solve with A

that's the song pota pota pota

Step-by-step explanation:

Answer 2

Answer:

I believe your answer is Nicholas is 53 and Martina is 21

Step-by-step explanation:

44+12=56

9 years later

53 and 21


Related Questions

What does nine + ten equal?

Answers

Answer:

9 + 10 = 19

Step-by-step explanation:

im guessing your bored too LOL

Answer:

19 because you add 10 with 9 to get 19


the multiplication law of exponents says that for any numbers b, n, and m,
b^n.b^m=b^n+m
a. true
b. false

Answers

Since the exponents were added based on the product rule, hence the multiplication law of exponents is TRUE

Law of indices

Indices are written in term of exponents. Some of the laws of indices;

[tex]a^m\times a^n=a^{m+n}[/tex] (product law of indices)

For the quotient law of indices

[tex]\dfrac{a^m}{a^n} =a^{m-n}[/tex]

According to the given expression, we are to determine if it is true or false

Check:

[tex]b^n.b^m=b^{n+m[/tex]

Since the exponents were added based on the product rule, hence the multiplication law of exponents is TRUE

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please help me thank you :)

Answers

The function on the table is decreasing on the interval [-2, 0).

Over what interval is the function shown in the table decreasing?

A function is decreasing if, as x increases, f(x) decreases.

We can see that at x = -2, f(-2) = 12.

Then at x = 0, f(0) = 0.

And for the value after that:

x = 1, f(1) = 3

So now the function increases. Then we conclude that the function is decreasing on the interval [-2, 0), and after that the function increases.

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18 lb. 6 oz. divided by 7

Answers

Answer:

42 ounces

Step-by-step explanation:

18 x 16 = 288

288 + 6 = 294

294/7 = 42

1-pound equals 16 ounces, since there are 18 pounds you will multiply 18 pounds by 16, then you will get 288, add your 6 ounces from the question, you will get 294, lastly divide by 7, which you will end up with 42

Please I need help asap

Answers

Answer:

Option D

Step-by-step explanation:

[tex]\frac{2}{3}x=\frac{12}{5}[/tex]

[tex]x=(\frac{12}{5} )(\frac{3}{2} )=\frac{36}{10} =\frac{18}{5} =3\frac{3}{5}[/tex]

Hope this helps

simplify fully a+1/3a +7/6a

Answers

5/2a or 2.5a
I hope it helps:)

Answer:

5/2a

Step-by-step explanation:

Factor out common term a: a ( 1 + 1/3 + 7/6)

= a( 1+ 1/3 + 7/6)

1+ 1/3 + 7/6 = 5/2

= a5/2

= 5/2a

Ethan is looking to take out a mortgage for $620,000 from a bank offering an annual interest rate of 4.5%, compounded monthly. Using the formula below, determine his monthly payment, to the nearest dollar, if the loan is taken over 25 years.

Answers

His monthly payment to the nearest dollar of the loan taken over 25 years = $4,391.67

Calculation of monthly payment

The mortgage capital = $620,000

The rate of payment of interest= 4.5%

The period for the payment = 25 years.

Simple interest

= p×T×R/100

= $620,000 × 25 × 4.5/100

= 69750000/100

= $697,500

Therefore the total amount of money that will be generated = $620,000 + $697,500 = $1,317,500

Therefore the monthly payment,

= $1,317,500/12×25

= $4,391.67

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If you have (4-9x)+23/9 what is the value of x

A 17

B 23

C 5

D 2

Answers

Step-by-step explanation:

Do you have a final product for the equation.

I am unable to find the missing part of the peoblome without a total to sum up to.

Sorry...

Write your answer in simple solution (4x^3+2x+6)+(2x^3-x^2+2)

Answers

The answer in simple solution is 6x^3-x^2+2x+8

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

Answers

The option second "A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right" is correct.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

The options are attached in a picture please refer to the attached picture.

We have an inequality:

3(8 – 4x) < 6(x – 5)

After solving:

8 - 4x < 2(x - 5)

8 - 4x < 2x - 10

8 + 10 < 2x + 4x

18 < 6x

3 < x  or

x > 3

x ∈ (3, ∞)

Thus, the option second "A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right" is correct.

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A cone has a height of 15 feet and a radius of 11 feet. What is its volume?
Use ≈ 3.14 and round your answer to the nearest hundredth.
cubic feet?

Answers

Answer: 1899.70 cu ft

Step-by-step explanation:

Cone volume = 1/3 TT r^2 h

V= (1/3) (3.14) (11^2) (15)

V=1899.70 cu ft

A boat is heading towards a lighthouse, whose beacon-light is 139 feet above the water. The boat’s crew measures the angle of elevation to the beacon, 11 degrees

. What is the ship’s horizontal distance from the lighthouse (and the shore)? Round your answer to the nearest hundredth of a foot if necessary.

Answers

Using the slope concept, it is found that the ship’s horizontal distance from the lighthouse (and the shore) is of 715.09 feet.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, we have that:

The vertical change is of 139 feet.The horizontal change is of d feet.The angle is of 11º.

Hence:

tan(11º) = 139/d

d = 139/tan(11º)

d = 715.09.

The ship’s horizontal distance from the lighthouse (and the shore) is of 715.09 feet.

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Is this congruent yes or no explain why

Answers

Answer:

Yes, they are congruent. They must be congruent because you know that 3 out of the 3 angles are identical between the two triangles. You know this because both triangles have a right angle (90°) and another identical angle (the two curves). This means that the 3rd angle for both triangles must be identical as well. Therefore, the triangles are the same.

Yes because it is a congruent

2/5 + 1/4= enter answer as a fraction in simplest form.

Answers

Answer:

13/20

Step-by-step explanation:

2/5*4=8/20

1/4*5=5/20

8+5=13

13/20

9/12 devided by 2/12

Answers

[tex]\textbf{Given that,}\\\\~~~\dfrac 9{12} \div \dfrac{2}{12}\\\\\textbf{We can rewrite it as}\\\\~~~~\dfrac{9}{12} \times \dfrac 1{\tfrac{2}{12}}\\\\\\=\dfrac {9}{12} \times \dfrac{12}2\\\\\\=\dfrac 92\\\\\\=4.5\\\\\textbf{Hence the quotient is}~ \dfrac 92 ~ \textbf{or}~ 4.5.[/tex]

There are 60 feet between the bases on a softball diamond. How far does a catcher throw drone home plate to second base

Answers

Answer: [tex]12\sqrt{5}[/tex]

Required theorem:

Pythagorean theorem = [tex]a^2 + b^2=c^2[/tex]

In other words, one side length squared + another side length squared = the middle lined squared.

Step-by-step explanation:

[tex]60^2+60^2 = c^2\\\\360+360=c^2\\\\720=c^2\\\\\ \sqrt{c^2} =\sqrt{720}\\\\c=+/- 12\sqrt{5}[/tex]

We can only have a positive distance so your final answer is :

[tex]12\sqrt{5}[/tex]

please someone with a good heart help me ;-;

Answers

Answer:

87.5 ft^3

Step-by-step explanation:

Formula:

Volume = length x width x height.

Dimensions:

Length = 3 1/2 ft = 7/2 ft

Width = 5 ft

Height = 2 1/2 ft = 5/2 ft

Substitute and Find Volume:

Volume = (7/2 ft) x (5 ft) x (5/2) ft

Volume = 87.5 ft^3

PLEASE HELP URGENT

A triangle has one side that is 5 units long, one 25° angle, and one 90° angle. Complete the two diagrams to create two different triangles with these measurements. Label the 90° angle in each diagram.​

Answers

Answer:

  see attached

Step-by-step explanation:

The two different triangles can be formed by placing the 90° angle adjacent to, or opposite the given side.

__

In the attached diagram, the two triangles are ABC and ABD. The right angles are at vertex C and vertex B, respectively.

By percent, how much greater do sales of horror books appear to be than sales of cookbooks? how much greater are they in reality? a. there appear to be 50% more sales of horror books than cookbooks, but there are really only about 20% more. b. there appear to be 40% more sales of horror books than cookbooks, but there are really only about 5% more. c. there appear to be 20% more sales of horror books than cookbooks, but there are really only about 10% more. d. there appear to be 25% more sales of horror books than cookbooks, but there are really only about 2% more.

Answers

There appear to be 25% more sales of horror books than cookbooks, but there are really only about 2% more.

How much greater is the sale of horror books compared to cookbooks?

Percentage is a measure of frequency that expresses the ratio of two numbers as a value out of 100.

Percentage of horror books to comedy books = [(number of horror books sold / number of comedy book) - 1 ] x 100

[(55 / 54) - 1] x 100 = 2%

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Question in the Picture

Answers

Step-by-step explanation:

the picture is not representing the real angle sizes. so, don't let yourself get confused by that.

the right neighbor angle of 90° at E is also 90°.

it has to be, because it is the supplementary angle to the left 90° (that means together they are 180°).

remember, all angles around a single point on one side of a line have to sum up to 180° (because the line can be seen as the diameter of a circle, with the point being the center of the circle, and so one side of the line is representing a half-circle and therefore 180°).

for the same reason angle 1 (the lower neighbor of the 90° angle at A) is also 90°.

for the same reason the lower neighbor angle of the 60° angle at E is 180 - 60 = 120°.

for the same reason the angle ABC is 180 - 40 = 140°.

for the angle BCD we need to remember :

the sum of interior angles of a polygon with n sides is

(n − 2) × 180°.

in our case ABCDE has 5 sides, so the sum of all interior angles is

(5 - 2) × 180 = 3×180 = 540°

we know 4 of the interior angles already, so

angle BCD = 540 - 90 - 90 - 120 - 140 = 100°

x is now the supplementary angle to the angle BCD.

so,

x = 180 - 100 = 80°

What is the equivalent to a dash?

Answers

Answer:

a dash is 1/8 tsp.

Step-by-step explanation:

a dash is 1/8 tsp or called 0.13

The graph of h(x) is a translation of f (x) = RootIndex 3 StartRoot x EndRoot.

On a coordinate plane, a cube root function goes through (negative 3, negative 1), has an inflection point at (negative 2, 0), and goes through (negative 1, 1).

Which equation represents h(x)?

h (x) = RootIndex 3 StartRoot x minus 2 EndRoot
h (x) = RootIndex 3 StartRoot x + 2 EndRoot
h (x) = RootIndex 3 StartRoot x EndRoot minus 2
h (x) = RootIndex 3 StartRoot x EndRoot + 2

Answers

Transformation involves changing the form of a function. The function that represents is C; [tex]g(x) =- \sqrt[3]{x+1}[/tex]

What is a function?

The function is a type of relation, or rule, that maps one input to specific single output.

Function f(x) is given byy;

[tex]g(x) = \sqrt[3]{x}[/tex]

f(x) is reflected across the x-axis.

The rule of this transformation (i.e. reflection) is:

(x, y) ⇒ (x, - y)

So,

[tex]f'(x) = -f(x)[/tex]

This gives

[tex]f'(x) = - \sqrt[3]{x}[/tex]

Now, f'(x) is translated 1 unit left

The rule of this transformation (i.e. translation) is:

(x, y) ⇒ (x+ 1, y)

So,

g(x) = f'(x+ 1)

This gives

[tex]g(x) = -\sqrt[3]{x+1}[/tex]

Hence, the function that represents g(x) is (c)

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Answer:

Step-by-step explanation:

its B on Edge just did it

Question in the picture can anyone explain me how to convert mixed to improper??
1/6+2/4

Answers

The addition of the given fractions ( 1/6 + 2/4 ) to its simplest fraction form is 2/3.

What is the addition of the fraction?

Given that;

1/6 + 2/4Addition = ?

1/6 + 2/4

First, multiply the denominators then cross-multiply nominators and denominators.

1/6 + 2/4 = ( (6×2) + ( 4×1 ) ) / 6 × 4

1/6 + 2/4 = ( 12 + 4 ) / 24

1/6 + 2/4 = 16 / 24

We simplify

1/6 + 2/4 = 16 / 24 = 2/3

Therefore the addition of the given fractions ( 1/6 + 2/4 ) to its simplest fraction form is 2/3.

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can someone please help me find a line passing through the points (3,8) and (5,10)? I will reward branliest to the one who gets it correct.

Answers

Answer:

maybe the answer is x-y =-5

Which fraction is equal to 0.38?
A. 3/8
B. 3/11
C. 19/5
D. 19/50​

Answers

D

19/50 multiply 2 on numerator and denominator it becomes 38/100
38/100 = 0.38 since 38/100 is 38 divide by 100 which is 0.38

Answer:

D. 19/50

Explanation:

Write 0.38 as

0.38/1

Multiply both numerator and denominator by 10 for every number after the decimal point

0.38 × 100

1 × 100

=

38/100

Reducing the fraction gives

19/50

please helppp!!!

Angle Y is inscribed in the circle below. The measure of arc XZ is 205°.
What is the measure of angle Y?

Answers

The measure of the angle Y from the given diagram is 102.5 degrees

Circle theorem

In order to determine the unknown angle, we will use the theorem "angle at the vertex is half the angle at its intercepted arc".

Given the following

angle at the arc= 205 degrees

required

angle at the vertex Y

According to the theorem;

<Y = 1/2arcXZ
<Y = 1/2(205)
<Y = 102.5 degrees

Hence the measure of the angle Y from the given diagram is 102.5 degrees

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Given h of x equals negative 2 times the square root of x minus 3 end root, which of the following statements describes h(x)?

The function h(x) is increasing on the interval (–∞, 3).
The function h(x) is increasing on the interval (–3, ∞).
The function h(x) is decreasing on the interval (–∞, 3).
The function h(x) is decreasing on the interval (3, ∞).

Answers

Using translation concepts, it is found that the correct option regarding the function is:

The function h(x) is decreasing on the interval (3, ∞).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is given by:

[tex]f(x) = \sqrt{x}[/tex]

Which increases on (0, ∞).

The translated function is given by:

[tex]g(x) = -2\sqrt{x - 3}[/tex]

With the translation, the domain is now (-3, ∞), and the function is decreasing, hence the correct option is given by:

The function h(x) is decreasing on the interval (3, ∞).

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Which of the following statements is true about rays?
OA. They are zero-dimensional objects
B. They are one-dimensional objects,
OC. They are three-dimensional objects
OD. They are two-dimensional objects

Answers

Answer:  B. They are one-dimensional objects

This applies to line segments and lines as well.

One dimensional objects are such that they only have one component to them when it comes to determining a location on that object.

For instance, a number line is one dimensional because we only need one number to determine where a location is.

A ray is effectively a half-line, or put another way, a line is the combination of two rays glued together. Basically a ray points forever in one direction only, as a line will point in two opposite directions.

Extra side notes:

I can't think of any zero dimensional objects off the top of my head.3D space is a 3 dimensional object because we need 3 coordinates to determine an exact location.A flat 2D plane is a 2 dimensional object because we need 2 coordinates to determine a location.

Answer: B

Step-by-step explanation:

What is the inequality shown?
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9

Answers

Step-by-step explanation:

well it could be -10 < x < 10

or -9 ≤ x < 10

or -10 < x ≤ 9

or -9 ≤ x ≤ 9

Find x.

A composite figure consisting of two right angled triangles lying next to each other. Two sides of the triangle on the left are labeled as 13 millimeters and 5 millimeters. Two sides of the triangle on the right are labeled as x and 35 millimeters.

Answers

The value of x is 28 millimeters in the composite figure of two right-angled triangles lying next to each other

What is a composite figure?

A composite figure is a figure that is produced from the combination of two geometric shapes together.

The diagrammatic expression of a composite figure consists of two right-angled triangles lying next to each other can be seen in the image attached below.

For the left-side right-angled triangle, we have:

13² = h² + 5²

h² = 13² - 5²

h = √(169-25)

h = 12

Recall from the diagram that:

h² = pq

If p = 5 and q = x

12² = 5x

x = 144/5

x ≅ 28 millimeters

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