Mixed Applications
Write an equation using the variable n. Then solve and check the solution.

42) If a number, n, divided by 8 equals 2.5, what is n?

43) The sum of a number, n, and 6.05 is 12.4. What is n?

44) Stacy is one-fourth as old as her mother. If Stacy's mother is
36, how old is Stacy?

45) One-third of a painting job takes 24 hours. How long will it take to finish the entire job?



Number Sense: Estimation
Use compatible numbers to estimate the solution.
46) 6b = 110
47) 4n = 159
48) 14/x = 5

Pierre's question : What is the probablity of flipping a head and picking a white or black marble at the same time?

The probability of flipping a head is 50%, or 1/2
The probably of randomly picking a white or black marble is (3+9)/(3+9+8) = 12/20.

So, the probability of they happening simultaneously is 1/2 x 12/20 = 12/40.

Answer:

3x5=15

5x3=15

30/2=15

15x1=15

1x15=15

15/1=15

Step-by-step explanation:

Hope it helped !
Have a great day !

Answer:

1.4

Step-by-step explanation:

i did the math

13.34 mi

from question,

perpendicular (p) = 3mi

base(b) = 13 mi

hypotenuse (h) = ?

from Pythagoras theorem,

h^2 = p^2 + b^2

h = √(3^2 + 13^2)

h = √(9+169)

h= √(178)

h= 13.34 mi

Answer:

≈ 13.3 miles

Step-by-step explanation:

a line due west and a line due south form a right triangle with the hypotenuse being the direct distance x from the house.

using Pythagoras' identity in the right triangle , then

x² = 13² + 3² = 169 + 9 = 178 ( take square root of both sides )

x = [tex]\sqrt{178}[/tex] ≈ 13.3

distance from house ≈ 13.3 miles ( to the nearest tenth )

Answer:

Undefined

Step-by-step explanation:

Any number divided by 0 is undefined.

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[tex]\blue\textsf{\textbf{Question:-}}}[/tex]

What is 986/0?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer With Solution:-}}}}}[/tex]

If we divide a number by zero, it will result in infinity, which is not a number.

That's why we can't divide by 0.

So the answer is undefined.

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Answer:

Step-by-step explanation:

ZCAB angle is congruent to ZBAD

The triangles ΔDAB and CAB are congruent and measure of ∠BAD = measure of ∠CAB

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔCAB

Let the second triangle be represented as ΔDAB

Now , the measure of BD = measure of BC ( given )

The measure of side AB = measure of side AB ( reflexive property )

And , the measure of ∠BAD = measure of ∠CAB

So , Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

Therefore , the triangles are congruent by SAS theorem

Hence , the triangles are congruent

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Answer:

Rafael will read 240 pages.

Step-by-step explanation:

Let's start by setting up the unknowns:

x = # of Rafael's pages

x/2 = # of Philippe's pages

(3/4)x = # of Denise's pages

Set these all equal to 540:

(x) + (x / 2) + (3/4(x)) = 540

Let's multiply both sides by 4 to make this easier.

4x + 2x + 3x = 2160

9x = 2160

x = 240

x was the # of Rafael's pages, so Rafael will read 240 pages. This means that Philippe will read 120 pages (one-half of Rafael), and Denise will read 180 pages (three-fourths of Rafael). Adding these all up will get you 540 pages, so it checks out.

Hope this helps!

Answer:

2,050 grams because

2 Kilo = 2,000 Grams

Step-by-step explanation:

[tex]\text{If the number is x,}\\\\~~~~10\% \cdot x = 16\\\\\implies \dfrac{10x}{100} = 16\\\\\implies \dfrac x{10} = 16\\\\\implies x = 160\\\\\text{Hence,}~ 5\% \text{ of}~ 160 = \dfrac{5 \times 160}{100}=8[/tex]

Answer:

1,3

Step-by-step explanation:

I'm not too sure but 1and 3 look more like they are possible answers

Answer:

5

Step-by-step explanation:

first 5 seconds the height keeps increasing

answer :

$76,000

Step-by-step explanation:

reword it

4% of annual salary is 3040

.04x = 3040

x= 3040 ÷ .04

x=76,000

Answer: 26.25 is the answer

Step-by-step explanation:

Answer: $48.75

Step-by-step explanation:

$100% - 35% = 65% of the original price

so,

$75 * .65 = 48.75

Answer:

D. 287.6 cm²

Step-by-step explanation:

» Concept

The lateral surface area of a 3D figure is the surface area of the solid, excluding the bases. For a cylinder, the bases are the two circles on top and bottom. The formula to find the LSA of a cylinder is 2πrh, where r = radius of the circle and h = height.

» Application

We are asked to find the lateral surface area of the cylinder given the radius as 4.2 cm and the height as 10.9 cm.

» Solution

Now, as you can see, the closest answer choice to 287.4984 is D. 287.6 cm².

Using the box-and-whisker plot, it is found that the median of the data-set is given by:

B. 87.

A box and whisker plot shows three things:

In this plot, we have that:

Hence option B is correct.

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Answer:

B) 87

Step-by-step explanation:

Hope it helps!

The value of line integral is, 73038 if the c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

The parametric equations for the line segment from (0, 0, 0) to (2, 3, 4)

x(t) = (1-t)0 + t×2 = 2t  

y(t) = (1-t)0 + t×3 = 3t

z(t) = (1-t)0 + t×4 = 4t

Finding its derivative;

x'(t) = 2

y'(t) = 3

z'(t) = 4

The line integral is given by:

[tex]\rm \int\limits_C {xe^{yz}} \, ds = \int\limits^1_0 {2te^{12t^2}} \, \sqrt{2^2+3^2+4^2} dt[/tex]

[tex]\rm ds = \sqrt{2^2+3^2+4^2} dt[/tex]

After solving the integration over the limit 0 to 1, we will get;

[tex]\rm \int\limits_C {xe^{yz}} \, ds = \dfrac{\sqrt{29}}{12} (e^{12}-1)[/tex]   or

= 73037.99 ≈ 73038

Thus, the value of line integral is, 73038 if the c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)

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The measure of the angle m∠CBD that forms an adjacent angle is 35 degrees.

Adjacent angles are angles that have common side and vertex.

Therefore, the common vertex is at point B.

m∠CBD = m∠ABD -  m∠ABC

Therefore,

m∠ABD = 75 degrees

m∠ABC = 40 degrees

Hence,

m∠CBD = 75 - 40

m∠CBD = 35 degrees

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Step-by-step explanation:

39500 x 103 = 4,068,500

in scientific notation, that ia 4.0685 x 10⁶

Answer:

ANSWER =13,24,14 is the answer

Step-by-step explanation:

please follow

13,24,14(D)

Explanation: The

[tex] {even}^{th} [/tex]

number (i.e 22,23) can be obtained by adding 11 to its previous number. Ex. 23 = 12 + 11

XD

Answer:

infinite because she can write as mutcha nd on as many asshe wats

Answer:

1530 x 2.6

Step-by-step explanation:

Just multiply, 90 divided by 1530, multiply 1530 x 2.6