Huilan is 8 years older than Thomas. The sum of their ages is 80. What is Thomas's age?

Answers

Answer 1

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\texttt {\:Thomas's age = 44 years } [/tex]

[tex]\texttt {\:Hulian's age = 36 years } [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex] \textsf{Assume Thomas's age be ' x ' } [/tex]

[tex] \textsf{and that of Huilan's age be y } [/tex]

[tex] \texttt{we have two conditions :} [/tex]

[tex]\qquad \tt \rightarrow \:y = x + 8[/tex]

it can be simplified as : -

[tex]\qquad \tt \rightarrow \:y - x= 8 \: \: \: \: \: \: \: \: \: - (1)[/tex]

[tex] \texttt{Next condition } [/tex]

[tex]\qquad \tt \rightarrow \:x + y = 80 \: \: \: \: \: \: \: - (2)[/tex]

`` Add both equations ``

[tex]\qquad \tt \rightarrow \:y - x + x + y = 8 + 80[/tex]

[tex]\qquad \tt \rightarrow \:2y = 88[/tex]

[tex]\qquad \tt \rightarrow \:y = 44[/tex]

[tex] \large \textsf{For x :} [/tex]

[tex]\qquad \tt \rightarrow \:y - x = 8[/tex]

[tex]\qquad \tt \rightarrow \:44 - x = 8[/tex]

[tex]\qquad \tt \rightarrow \:x = 44 - 8[/tex]

[tex]\qquad \tt \rightarrow \:x = 36[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer 2

Answer:

[tex]\fbox {36 years old}[/tex]

Step-by-step explanation:

Let :

⇒ Age of Huilan = x

⇒ Age of Thomas = x - 8

Then :

⇒ x + x - 8 = 80

⇒ 2x = 88

⇒ x = 44

Thomas's age :

⇒ x - 8

⇒ 44 - 8

36 years old


Related Questions

Let the Universal set be the letters a through j: U = (a, b, ..., i, jJ. Let A = (b, e, g, i), B = {a, b, e, f), and C = {a, e, i, ji) List the elemefits of the set An (BU C)

Answers

Answer:

A ∩ (B U C) = {b , e , i}

Step-by-step explanation:

A = {b , e , g , i}

B = {a , b , e , f}

C = {a , e , i , j}

We note B U C ,The union of the two sets B and C

which is the set that contains all elements

that are in B or in C .

The easiest way to determine B U C :

Step1 : (write all the elements of B and C side by side)

B U C = {a , b , e , f , a , e , i , j}

Step2 : (delete the repeated elements)

B U C = {a , b , e , f , i , j}

FINDING A ∩ (B U C) :

it’s the set of elements that exist in both sets

A and B U C simultaneously:

A = {b , e , g , i}

B U C = {a , b , e , f , i , j}

Then

A ∩ (B U C) = {b , e , i}

0.0000000019 written in scientific notation is

Answers

Answer:

1.9x10^8

hope I helped

Answer:

0.0000000019= 1.9*10^ -9

What is the slope of the line through (1,-2) and (-3,-2)?

Answers

-1/2

Step-by-step explanation:

m = y2-y1/x2-x1

-3+2/3-1

m=-1/2

Hii!

_________________________________________________________________

Answer: Slope = 2 - Choice [C] ✅

Step-by-step explanation:

Do you need to know the slope of the line through (1,-2) and (-3,-2)? No problem! Luckily, there's a formula to find this!

The slope formula

The slope formula "[tex]\sf \cfrac{y2-y1}{x2-x1}[/tex]", is the formula we'll use to find the slope.

Let's stick in the values we know

[tex]\sf m= \cfrac{-2-2}{-3-(-1)}[/tex]

Simplify

[tex]\sf m=\cfrac{-4}{-3+1}[/tex]

Simplify

[tex]\sf m=\cfrac{-4}{-2}[/tex]

[tex]\sf m= \cfrac{4}{2}[/tex]

[tex]\sf m=2[/tex] ✅

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Hope that this helped! Best wishes.

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The ingredients for your braised greens cost 1.32. You sell it for $4. What is your contribution margin?

Answers

Your contribution margin is $2.68 considering the price of the braised ribs and the cost of the components.

Selling price per unit less variable cost per unit equals contribution margin, often known as dollar contribution per unit. The amount of sales income referred to as "Contribution" is the fraction that is not used to pay variable expenses and hence helps to cover fixed costs.

Given ingredients for your braised greens cost 1.32$ and sells at $4

We have to find contribution margin on that

The difference between a venture's variable costs and its selling price is the contribution margin:

= Selling price - Variable cost

The selling cost is $4 and the variable costs are $1.32.

Therefore Contribution margin is as follow:

= 4 - 1.32

= $2.68

Hence your contribution margin is $2.68 considering the price of the braised ribs and the cost of the components.

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Need help! The answer is D, can anyone explain in detail how?

Answers

Answer:

D

Step-by-step explanation:

0.0378÷0.21=0.18

this is 18 hundredths

but its 180 thousandths

Explanation:

Now--this is an awfully odd way to word a question.

BUT, it is solvable!

digits have "place values" in numbers, let's focus on after the decimal point:

_ . _ _ _ _ _ '

we know this can go on forever, but we don't need it to (for this problem, that is)

_ . _ _ _

_ . {tenths} {hundredths} {thousandths} ........

we want to know how many thousandths we have:

the answer to this problem (0.0378 / 0.21) is 0.18

{let's consider what we know about place values:}

"10" can be thought of as ten-ones

and "1" can be thought of as ten tenths

{the reason it's always ten __ is that we use a base-ten system, and there are only ten options for each digit [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] }

so, 10 could be thought of as ten ones, which could each be thought of as ten tenths--meaning that 10 is the same thing as 100 tenths

[if you ignore the decimal point, it becomes more clear]:

10.0 [100]

likewise, 10.00 is 1000 hundredths; and 10.000 is 10,000 thousandths

--------

okay, back to our problem:

how many thousandths make up 0.18?

Let's write this out to the thousandths place:

0.180

if we use our tactic of ignoring the decimal, we are left with 0180 [of course, a "0" before a number has no value, so we can rewrite it as 180], or 180

so, 0.18 is really composed of 180 thousandths, which is how option D is the answer

hope this helps!! :)

{let me know if there's anything else you would like me to explain about this!}

12 times a number is decreased by 10% of the number. Write an expression.

Answers

Answer:

something like below

Step-by-step explanation:

(12n) - (n * 10/100 )


please help me write an equation for this polynomial graphed

Answers

The equation of the given polynomial is f(x)=(x+2)(x+1)(x-3).

here we have given the graph of the

The roots of the given polynomial is

x=-2,x=-1 and x=3

What is the polynomial?

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Therefore the equation of the polynomial is

f(x)=(x+2)(x+1)(x-3)

Therefore the equation of the given polynomial is f(x)=(x+2)(x+1)(x-3).

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The equation for this polynomial graphed will be P(x) = a(x + 2)(x + 1)(x – 3)³.

What is polynomial?

A polynomial expression is an algebraic expression with variables and coefficients.

The graph of the polynomial is given below.

From the graph, the roots of the polynomial will be -2, -1, and 3.

Then the factor of the polynomial will be

(x + 2), (x + 1), and (x – 3)

Then the polynomial will be

P(x) = a(x + 2)(x + 1)(x – 3)³

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Determine if an exponential would be an appropriate model for the data shown in each scatter plot. Select one that applies.

Answers

Answer:

Graph 1: No, a linear model would be more appropriate.Graph 2: YesGraph 3: No, a quadratic model would be more appropriate.

The value of x for the function f(x) = 100+ 0.3x is 210, when
f(x) = 121. True Or False

Answers

Answer:

false

Step-by-step explanation:

the answer is x=70

write a linear function of f with f(-3)=-2 and f(-2)=3

Answers

Answer:

y=5x+13

Step-by-step explanation:

when x=-3, y=-2, and when x=-2,  y=3. we know that every time x increases by 1, y also increases by 5. This means that the slope is 5. to find the y-intercept, we need x to be 0. to find that, increase x by 2. if x increases by 2, then y would also increase by 10. add 10 to 3 and add 2 to -2 to get x=0 and y=13. the coordinates would be (0,13). the y-intercept is 13. now that we have enough information, we can conclude that y=5x+13. To check your answer, plug in the values for x.

Show how to solve it step by step

tan(x)cot(x)=1

Answers

There are two ways to confirm the identity.

Method 1

[tex]\tan(x)\cot(x) = 1\\\\\tan(x)\frac{1}{\tan(x)} = 1\\\\\frac{\tan(x)}{\tan(x)} = 1\\\\1 = 1 \ \ \checkmark\\\\[/tex]

--------------------------------------------

Method 2

[tex]\tan(x)\cot(x) = 1\\\\\left(\frac{\sin(x)}{\cos(x)}\right)\left(\frac{\cos(x)}{\sin(x)}\right) = 1\\\\\frac{\sin(x)\cos(x)}{\cos(x)\sin(x)} = 1\\\\\frac{\sin(x)}{\sin(x)} = 1\\\\1 = 1 \ \ \checkmark\\\\[/tex]

Which model represents 2 . 36 ÷ 4 ?

A. Three groups each have three tens and 4 ones.

B. There are three groups of five tens and 9 ones in each group.

C. There are four groups of three tens and six ones.

D. There are three groups of five tens and nine ones in each group

Answers

ITS D. Attached screenshot shows D is correct!

THE ANSWER IS D BECAUSE 2.36 ÷4= 0.59
D IS THE ONLY OPTION THAT REPRESENTS THE .59 (5 columns of tenths + 9 ones= .59)

I CHOSE THE WRONG ANSWER FROM A PREVIOUS POST ON HERE WITH THE SAME QUESTION THAT TOLD ME TO CHOOSE C & LEARNED THE HARD WAY, THAT WAS WRONG. THE ANSWER IS D!

What is the interval in which both f (x) and g(x) are positive?
A. (–1, ∞)
B. (2, ∞)
C. (3, ∞)
D. (–∞, 2) ∪ (2, ∞)

Answers

The answer is C, (3, infinity)

2 Math questions! Offering the brainliest to who answers

Answers

Answer:

first one L second one D

Step-by-step explanation:

There are 230 calories in a 48 gram packet of M&M's. How many calories are in a 33.6 gram bag? ​

Answers

Answer:

161 calories

Step-by-step explanation:

1) Divide 230 by 48

4.791666666666667

2) multiply 4.791666666666667 by 33.6

161

Done! Your answer is 161 calories in a 33.6 gram bag. Or just 161.

Hope this helps!

The shadow of a tree is 10m longer when the angle of elevation of the sun is 45° than when it is 60°, find the height of the tree.​

Answers

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The length of the tree is 23.66 meters.

What is Tangent (Tanθ)?

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

Let the height of the tree be represented by x.

The length of the shadow when the angle of elevation is 45°.

Length of shadow = x/ Tan(45°)

The length of the shadow when the angle of elevation is 60°.

Length of shadow = x/ Tan(60°)

Now, since the difference between shadows is 10 meters. Therefore, we can write,

x/ Tan(45°) - x/ Tan(60°) = 10m

x[1/ Tan(45°) - 1/ Tan(60°) ] = 10 m

x (0.42265) = 10 m

x = 23.66 m

Hence, the length of the tree is 23.66 meters.

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what is the range of the ordered pairs shown in the graph

Answers

Answer:

D.

Step-by-step explanation:

It contains all the y-values of the points.

Answer:

Coordinates of all points

first = (-1 , 3)

second = (-2, 1 )

third = (-3 , -3)

fourth = (-4 , -5)

option 3

Find the area of triangle PQR.

Answers

Step-by-step explanation:

To get the angle of QPR, we subtract 90-60=30. This proves that the triangle is a 30,60,90, as angle QRP must be 60°. To get the area, we must know the length and width. These can be derived from a known relationship within 30,60,90 triangles.

[tex]qp = \frac{\sqrt{3}}{2} n[/tex]

[tex]qr = \frac{1}{2} n[/tex]

[tex]pr = n[/tex]

because half of pr is 10, we can conclude that n is 20. So we plug 20 into N for QP and QR, and get values of

[tex]qp = 5 \sqrt{3} [/tex]

[tex]qr = 5[/tex]

Now we multiply (l*w)/2 and get:

[tex] \frac{(5 \sqrt{3} \times 5)}{2} = 21.65 \: units[/tex]

(5+3√2)² simplify the following

Answers

Answer:

[tex](5+3\sqrt{2} )^{2} =43+30\sqrt{2}[/tex]  

≈85.43

Step-by-step explanation:

apply the binomial theorem to the square

[tex]=(5)^{2} +2(5)(3\sqrt{2} )+(3\sqrt{2} )^{2}[/tex]

[tex]=25+30\sqrt{2} +18\\[/tex]

[tex]=43+30\sqrt{2}[/tex]

≈85.43

Hope this helps

Hello!

Here, we apply the algebraic identity :

[tex]\boxed {(a + b)^{2} = a^{2} + 2ab + b^{2}}[/tex]

Let's solve!

⇒ (5 + 3√2)²

⇒ (5)² + 2(5)(3√2) + (3√2)²

⇒ 25 + 30√2 + 18

⇒ [tex]\boxed {43 + 30\sqrt{2}}[/tex]

∴ The final answer will be 43 + 30√2.

Find the area of the shaded portion of the
figure. All angles are right angles.
Dimensions are in inches.
3
8
5

Answers

Answer:

22 [in.²]

Step-by-step explanation:

1. the required area can be calculated as

A=A1-A2, where A1- area of big quadrilateral, A2-area of the small quadrilateral;

2. A=5*8-3*6=40-18=22 [in²].

If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a certain city, where p(x)= 155-(x/10):
a. find an expression for the total revenue from the sale of x thousand candy bars.
b. find the value of x that leads to maximum revenue
c. find the maximum revenue

Answers

The expression for the total revenue from x thousand sales is 155,000x - 100x².

The value of x is 775 cents and the maximum revenue is $60,062,500.

What is the maximum revenue?

First, come up with an expression for total revenue from x thousand sales:

= (155  - x /10 ) × x × 1,000 units

= 155,000x - 100x²

The value of x would then be:

Derive the function from the total revenue function to give:

0 = 155,000 - 200x

x = 775 cents

The maximum revenue is therefore:

= 155,000(775) - 100(775)²

= $60,062,500

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A 6-sided number cube is rolled twice. What is the probability of getting a 3 on the first roll and a 4 on the second roll? 2.8% 16.7% 20% 33.3%

Answers

Answer: 2.8%

Step-by-step explanation:

On the first roll, probability to get a 3 is 1/6.

On the second roll probability to get a 4 is also 1/6.

To get both of these numbers together, you need to multiply the two probabilities.

1/6 x 1/6 = 1/36.

1/36 = ~2.8

2.8%

Answer: 2.8%

Step-by-step explanation: I got it right on the test.

Which expression is to equivalent to....​

Answers

Answer:

B.) 2x¹⁰y¹²

Step-by-step explanation:

To begin, because all of the terms in the top and bottom are combined (right next to each other being multiplied), the coefficients can be divided like any normal number. When you divide variables with powers, you need to subtract the denominator powers from the numerator powers.

Therefore,

60 / 30 = 2

x²⁰ / x¹⁰ = x²⁰ ⁻ ¹⁰ = x¹⁰

y²⁴ / y¹² = y²⁴ ⁻ ¹² = y¹²

Combined, the simplified expression is 2x¹⁰y¹².

Simplify
[tex]\left(\frac{123}{321}\right)\left(\frac{456}{654}\right)\left(\frac{789}{987}\right) \left(\frac{123}{321}\right)^{-1}\left(\frac{456}{654}\right)^{-1}\left(\frac{789}{987}\right)^{-1}[/tex]

Answers

Answer:

1

Step-by-step explanation:

using the rule of exponents

[tex](\frac{a}{b}) ^{-1}[/tex] = [tex]\frac{b}{a}[/tex] , then

[tex]\frac{123}{321}[/tex] × [tex]\frac{456}{654}[/tex] × [tex]\frac{789}{987}[/tex] × [tex]\frac{321}{123}[/tex] × [tex]\frac{654}{456}[/tex] × [tex]\frac{987}{789}[/tex]

[ [tex]\frac{123}{321}[/tex] × [tex]\frac{321}{123}[/tex] = 1 , [tex]\frac{456}{654}[/tex] × [tex]\frac{654}{456}[/tex] = 1 , [tex]\frac{789}{987}[/tex] × [tex]\frac{987}{789}[/tex] = 1 ]

= 1 × 1 × 1

= 1

The measure of B is (3x-4)° and the measure of D is (2x-6)°. What are the measures of angles B and D?

Answers

Answer:

5x - 10

Step-by-step explanation:

→ Find the sum of the expression

3x - 4 + 2x - 6

→ Collect all the x terms

3x + 2x - 4 - 6

→ Simplify

5x - 10

URGENT WILL GIVE BRANLIEST IF CORRECT!!! A car is moving at 22.5 m/s, when it begins to accelerate at 1.45 m/s². How much time does it take to travel 60.2 m?
(Unit = s)

Answers

Answer:

2.48 seconds

Step-by-step explanation:

See attached

Urgent
Solve a=P(1.3)^x/x

Answers

The equation of a=P(1.3)^{x/x} is mathematically given as

a=1.3P or P=a/1.3

What is the solution of a=P(1.3)^{x/x}?

Generally, the equation for the statement is mathematically given as

a=P(1.3)^{x/x}

Therefore,

a=P(1.3)^{x/x}

a=P(1.3)^1

a=Px1.3

a=1.3P or P=a/1.3

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Mr Tong had some money. After giving $1300 to each 5 of his children, he had $450 left. How much money did he have at first

Answers

Answer:

Step-by-step explanation:

money given to children=1300x5

                                        =6500

total money =6500+450

                    =6950

what is 4³ writ
ten in expanded form?

Answers

Answer:

4^3 written in expanded form is 4*4*4

Mark as Brainliest please

Answer: 64

Step-by-step explanation:

Hii!

Do you need to know what 4^3 written in expanded form is? No problem!

4^3=4*4*4 (the ^3 tells us to multiply the base (which is 4 here) times 3)

The answer is 64.

Hope that this helped! Best wishes.

--

I need help with how to find x and y

Answers

The value of x and y from the given figure are 3 and 36

Similarity theorem of triangles

From the given similar triangles, the following expression is true

4/6 = x/54

Cross multiply

6x = 4 *54

x = 4 * 9

x = 36

Similarly

y/6 = 27/54
y/6 = 1/2

x =3

Hence the value of x and y from the given figure are 3 and 36

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