Roberto is x years older than his only sister but 10 years ago he was twice her age. What are the current ages of the siblings?

Answers

Answer 1

Answer:

S = x + 10

R = 2x + 10

Step-by-step explanation:

If R is Roberto's age, and S is his sister's age, then:

R = S + x

R − 10 = 2 (S − 10)

Solve with substitution.

S + x − 10 = 2 (S − 10)

S + x − 10 = 2S − 20

S = x + 10

R = 2x + 10


Related Questions

Michael is using a number line to evaluate the expression –8 – 3. A number line going from negative 12 to positive 12. A point is at negative 8. After locating –8 on the number line, which step could Michael complete to evaluate the expression?

Answers

Answer:

move to the left 3 more spaces

Step-by-step explanation:

you are at -8 already. Therefore, you (-3) more spaces, so you go to the left three more spaces. Use the saying keep change change to help with this.

Keep the first number sign, change the next sign, and the next sign.

Answer:

d

Step-by-step explanation:

Someone please help! Thank you

Answers

I think the answer would be D, but I’m not sure.

Answer:

Hey there!

We can write a equations here:

3x+y=180

Also, since all of the angles have 3x on the outside, then y must be constant.

3y=180

y=60

Thus, for x, we have 3x+60=180, 3x=120, x=40.

2x+6y

2(40)+6(60)

80+360

440.

Let me know if this helps :)

what is happening to this graph when the x vaules -1 and 1

Answers

Answer:

c.

Step-by-step explanation:

Answer:

Hey there!

The graph is decreasing when the x values are between -1 and 1.

Let me know if this helps :)

ASAP PLZ ANSWER 50 POINTS How do I determine if -3x+y =8 is a function?

Answers

Answer:

To determine if Y=-8 is a function, you must do the vertical line test. If you were to plot Y=-8 on a coordinate plane, you would see that at the point of (0,-8)[which is what Y=-8 is also] is on the Y axis and makes a horizontal linet hat passes through (o,-8).

Step-by-step explanation:

Answer:

graph

Step-by-step explanation:

did you mean in graph

What is the set of x-intercepts of this graphed function ? A.{-3,-1} B. {-3,-1,3} C. {-3,3} D.{-3}

Answers

Answer:

second option

Step-by-step explanation:

The x- intercepts are the values on the x- axis where the graph crosses.

These are

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

A coin is tossed 7 times. What is the probability that the number of heads obtained will be between 2 and 7 inclusive? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answers

Answer:

0.9375

Step-by-step explanation:

Given the following :

Number of coin tosses = 7

Probability that number of heads obtained will be between 2 and 7 inclusive?

x = 2,3,4,5,6,7

Probability (P) = number of required outcomes / total possible outcomes

For a coin toss = 1 Head (H), 1 tail (T)

P(H) = 1 / 2

P(X) = C(7,x) * (1/2)^7

P(X) = C(7, x) / 0.5^-7

P(X) = [C(7,2) + C(7, 3)+ C(7,4) +C(7,5) + C(7,6) +C(7,7)] / 128

P(X) = (21 + 35 + 35 + 21 + 7 + 1) / 128

P(X) = 120 / 128

P(X) = 0.9375

When Mr. Gree bought a used car he made a
down payment of $825. This was 30% of the
total cost. The total cost was:

PLEASE HELP! QUICKLY PLEASE!​

Answers

Answer:

2750

Step-by-step explanation:

825/30=27.5

27.5X100=2750

The total cost of the car will be $2,750.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.

The percentage is given as,

Percentage (P) = [Initial value - Final value] / Initial value x 100

When Mr. Gree bought a used car he made a down payment of $825.

This was 30% of the total cost.

Let x be the total cost of the car.

Then the total cost of the car will be

30% of x = $825

0.30x = $825

x = $2,750

Then the total cost of the car will be $2,750.

More about the percentage link is given below.

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Please help me!! I'll give brainliest btw

Answers

Answer:

e. cannot be determined

Step-by-step explanation:

m = 1/2( x + x + 10) = 1/2(2x + 10) = x + 5

n = 1/2(x² + x + 10) =

m/n = (x+5)/(1/2(x² + x + 10))

Not enough information

Estimate the solution to the following system of equations by graphing 3x +7y=10 2x-3y=-6

Answers

please mark me brain list

Answer:

(- 1/2,5/3)

Step-by-step explanation:


What is the solution to:
[tex] \frac{5}{8} = \frac{m}{12} [/tex]
HELP! answer if you can.​

Answers

Answer:

[tex]\boxed{m=7.5}[/tex]

Step-by-step explanation:

Hey there!

Cross multiply the given info

60 = 8m

Divide both sides by 8

m = 7.5

Hope this helps :)

M.7.5 is the answer

Using the Distributive Property to factorize the equation 3x2 + 24x = 0, you get

Answers

Answer:

3x(x+8)=0

x=0,-8

This is how to solve for x.

4.
Aliyah, Brenda and Candy share a sum of money in the ratio of 3:5:6. After
Candy gives $100 to Aliyah and $50 to Brenda, the ratio becomes 2 : 3:3.
(a) Suppose Aliyah has $3x at the start, express Candy's initial sum of money in
terms of x.
(b) Find the value of x.
(c) Hence, how much money does Brenda have in the end?

Answers

Answer:

(a) Candy's initial sum as a terms of x is $6x

(b) x = $60

(c) $350

Step-by-step explanation:

The given parameters are;

The ratio in which Aliyah, Brenda and Candy share the sum of money = 3:5:6

The amount Candy later gives Aliyah = $100

The amount Candy later gives Brenda = $50

The new ratio of the sum of the shared money between Aliyah, Brenda and Candy = 2:3:3

(a) Whereby Aliyah has $3x at the start, we have;

Total sum of mony = Y

Amount of Aliyah's initial share = Y × 3/(3 + 5 + 6) = Y×3/14

Therefore, Y×3/14 = $3x

x = Y×3/14 ÷ 3 = Y/14

Amount of Candy's initial share = Y × 6/14

Therefore Candy's initial sum as a terms of x = $6x

(b) Given that Aliyah's and Candy's initial sum as a function of x are   $3x and $6x, therefore, in the ratio 3:5:6, Brenda's  initial sum as a function of x = $5x

Which gives;

Total amount of money = $14x

With

6x - 150, 3x + 100, and 5x + 50, the ratio =is 2:3:3

Therefore, we have;

14·x × 2/(2 + 3 + 3) = (6·x - 150)

14·x × 2/(8) = (6·x - 150)

14·x × 1/4 = (6·x - 150)

7·x/2 = (6·x - 150)

12·x - 300 = 7·x

12·x - 7·x = 300

5·x = 300

x = $60

(b) The final amount of money with Brenda = 5x + 50 = 5 × 60 + 50 = $350

The final amount of money with Brenda = $350.

Complete the equation of the line through (-8, 8) and (1, -10).
Use exact numbers.
y =

Answers

Answer:

y = -2x - 8

Step-by-step explanation:

Find the slope using rise/run (y2 - y1) / (x2 - x1)

(-10 - 8) / (1 + 8)

-18/9

= -2

Next, plug in the slope and a point into the equation to find b:

y = mx + b

-10 = -2(1) + b

-10 = -2 + b

-8 = b

Now, plug this and the slope into the equation:

y = -2x - 8

Which section of the function is decreasing? (4 points) A graph is shown. Segment A is a horizontal line beginning at the y-axis. Segment B moves upward. Segment C is a horizontal line. Segment D moves downward Select one: a. A b. B c. C d. D

Answers

Answer: D

Step-by-step explanation:

If segment D moves downward it means its function has a negative slope so the line will be  decreasing.  

Answer:

D

Step-by-step explanation:

Obviously just because the slope is going down hence decreasing. \

Hope this helps! :)

In the expression 2^3 the 2 is known as the


base

exponent

rational number

irrational number

Answers

Answer:

Hey there!

In this problem, 2 is known as the base.

Let me know if this helped :)

Answer:

The Base

Step-by-step explanation:

The base in a power is the number being raised to the exponent's power. It is the bigger number in the power.

2 is being raised to the third power. This means that 2 is the base of the power.

3 would be the exponent in the power.

Brainilest Appreciated.

The weight of a small starbucks coffee is a normally distributed random variable with a mean of 325 grams and a standard deviation of 10 grams. Find the weight that corresponds to each event (round your final answers to 2 decimal places)

Answers

The weight of a small starbucks coffee is a normally distributed random variable with a mean of 325 grams and a standard deviation of 10 grams. Find the weight that corresponds to each event (round your final answers to 2 decimal places)

a. Highest 10 percent

b. Middle 50 percent

Answer:

the weight that corresponds to  Highest 10% = 337.8

the weight that corresponds to  Middle 50 % lies between 318.26  and 331.74

Step-by-step explanation:

From the information provided for us:

we have the mean = 325

the standard deviation = 10

The objective is to find the weight that corresponds to each event  i.e for event (a) , highest 10%

So;

The probability of P (Z > z) = 10%

Same as:

0.1 = 1 - P( Z < z)

P( Z < z) = 1 - 0.1

P( Z < z) = 0.9

From the standard normal tables for z;

P( Z < 1.28) = 0.9

z = 1.28

Similarly. from the z formula; we have:

[tex]z = \dfrac{X - \mu}{\sigma}[/tex]

[tex]z \times \sigma = X - \mu[/tex]

[tex]z \times \sigma + \mu= X[/tex]

[tex]X= z \times \sigma + \mu[/tex]

X = (1.28 × 10) + 325

X = 12.8 + 325

X = 337.8

Therefore, the weight that corresponds to  Highest 10% = 337.8

b.  the weight that corresponds to  Middle 50 % can be computed as follows:

the region of z values at 0.50 lies between -0.674 and +0.674

from the z formula; we have:

[tex]z = \dfrac{X - \mu}{\sigma}[/tex]

[tex]z \times \sigma = X - \mu[/tex]

[tex]z \times \sigma + \mu= X[/tex]

[tex]X= z \times \sigma + \mu[/tex]

X = -0.674 × 10 + 325  and  X = 0.674 × 10 + 325

X = - 6.74 + 325   and      X = 6.74  + 325

X = 318.26  and    X = 331.74

the weight that corresponds to  Middle 50 % lies between 318.26  and 331.74

A) Ali travelled 40 kilometers in his car and it took him 50 minutes to complete the journey. How long will it take if he had to travel 100 kilometers in the same car?

Answers

Answer:

2 hours and 5 minutes

Step-by-step explanation:

50/40=1.25 km/m

100*1.25=125 minutes

125 minutes= 2.08 hours= 2 hours and 5 minutes

if AD is the altitude to BC what is the slope of AD

Answers

Answer:

The answer is most likely 1/3

The correct option D. 3.  The slope of AD, where A is (-2, 4), B is (-6, 2), and C is (3, -1), is 1/3 using the slope formula.

Given points :

[tex]A(-2, 4)\\B(-6, 2)\\C(3, -1)[/tex]

To find the slope of AD,  to determine the slope of the line passing through points A and D.

Calculate the slope of the line passing through points A and D using the formula:

slope [tex]= (y_2 - y_1) / (x_2 - x_1).[/tex]

First, let's find the slope of BC using the coordinates of points B and C:

Slope of BC [tex]= (y_2- y_1 / (x_2- x_1)\\[/tex]

Plugging the coordinates of points B and C gives:

[tex]= (-1 - 2) / (3 - (-6))[/tex]

On adding gives:

[tex]= (-3) / (9)[/tex]

On dividing both numerator and denominator by 3

[tex]= -1/3[/tex]

Since A is the altitude to BC, it is perpendicular to BC.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of that line.

Therefore, the slope of AD will be the negative reciprocal of -1/3.

Negative reciprocal of -1/3 = -1 / (-1/3) = 3

Hence, the slope of AD is 3. The option is D. 3

Learn more about slopes here:

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Jessica recently purchased her dream car a Porsche 911. for $55,000. the value of this car will depreciate by 8% each year. Find the value of the car after 5 years.
55,000(0,92)^5= $36,249.

Answers

Answer:

The future value of the car after 5 years is $36,249.5

Step-by-step explanation:

Given the value at which a car depreciates, we are interested in finding the value of the car after a period of 5 years.

To find the value, we make use of an exponential equation;

The exponential equation to use is;

FV = PV(1 - r)^n

where FV is the future value of the car which is what we want to calculate

PV is the present value of the car which is $55,000

r is the depreciation percentage = 8% = 8/100 = 0.08

n is the number of years.

So now, we input these values into the formula;

FV = 55,000(1 -0.08)^5

FV = 55,000(0.92)^5

FV = $36,249.5

9x) = 27^y and X-Y = -3/2
find the value of y

Answers

Answer:

− y ln (27) + ln (9x) = 0

What is the tangent ratio of KJL? (Question and answers provided in picture.)

Answers

Answer:

Option (1)

Step-by-step explanation:

The given triangle JKL is an equilateral triangle.

Therefore, all three sides of this triangle will be equal in measure.

Side JK = JL = KL = 48 units

Perpendicular LM drawn to the base JK bisects the base in two equal parts JM and MK.

By applying tangent rule in ΔJML,

tan(∠KJL) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

                = [tex]\frac{\text{LM}}{\text{JM}}[/tex]

                = [tex]\frac{\text{LM}}{24}[/tex]

Since, Sin(K) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

Sin(60)° = [tex]\frac{\text{LM}}{48}[/tex]

[tex]\frac{\sqrt{3}}{2}=\frac{\text{LM}}{48}[/tex]

LM = 24√3

Now, tan(∠KJL) = [tex]\frac{\text{LM}}{24}[/tex]

                          = [tex]\frac{24\sqrt{3} }{24}[/tex]

Therefore, Option (1) will be the answer.

Can integers be written as fractions?

Answers

Answer:

Step-by-step explanation:

Yes you can just write them with denominator 1,

So 3 = 3/1 and -6 = -6/1.

Answer:

Yes.

Step-by-step explanation:

ALL real numbers can be written as fractions, and since integers fall under the category of real numbers, it is official that they can be written as fractions.

I am joyous to assist you at any time.

What is the value of x in the equation 3x-4y =65, when y = 4? i will gift brainliest

Answers

Answer:

3x-4y=65

3x=65+4y

x=(65+4y)/3, when y=4

x=(65+4*4)/3

x=(65+16)/3

x=81/3

x=27

Answer:

x = 27

Step-by-step explanation:

3x - 4y = 65

Let y= 4

3x - 4(4) = 65

3x -16 = 65

Add 16 to each side

3x-16+16 = 65+16

3x = 81

Divide by 3

3x/3 =81/3

x=27

Find the common ratio of the geometric sequence: 12.5,−62.5,312.5,−1562.5,… A. 5 B. -5 C. −15 D. 15

Answers

Answer:

B

Step-by-step explanation:

The common ratio r exists between consecutive terms in the sequence, that is

r = - 62.5 ÷ 12.5 = 312.5 ÷ - 62.5 = - 1562.5 ÷ 312.5 = - 5

I need help on both answers. They’re different from my other problems so I’m kinda confused

Answers

i think it would be b but
i’m not sure about the other one

Question 9(Multiple Choice Worth 4 points)
(02.05 LC)
Which of the following statements best describes the effect of replacing the
graph of y = f(x) with the graph of y = f(x - 9)?
The graph of y = f(x) will shift up 9 units.
The graph of y = f(x) will shift down 9 units.
The graph of y = f(x) will shift left 9 units.
The graph of y = f(x) will shift right 9 units.

Answers

Answer:  D) right 9 units

Step-by-step explanation:

The Vertex form of a quadratic equation is: y = a(x - h)² + k     where

a is the vertical stretch or shrink(x, h) is the vertex

        → h is the horizontal shift (+ is right, - is left)

        → k is the vertical shift (+ is up, - is down)

y = f(x - 9)

            ↓

           h=9

Since h is positive, the graph moves 9 units to the RIGHT

Answer:

The graph of y = f(x) will shift right 9 units.

Step-by-step explanation:

If the -9 is inside the parenthesis, the graph g(x) shifts 9 points to the right.

There are five red balls, three yellow balls, and four green balls in a bin. In each event, you pick one ball from the bin and observe the color of the ball. The balls are only distinguishable by their colors. After observation, you put the ball back into the bin.

What is the probability of choosing a red ball in an event? 

Answers

Answer:

5/12

Step-by-step explanation:

step one:

Given the sample space, which is the value of individual number of colored balls in the bin

Red balls=5

Yellow balls=3 and

Green balls= 4

And the sample size is the sum of all the colored balls in the bin

The sample size S= {5+3+4}= 12

step two:

The probability of choosing a red ball in an event can be expressed as, the total number of the red balls over the total number of balls in the bin

P(r)= 5/12

Hence the probability of selecting a red ball in one event 5/12

4x+5 ≤ 2x-3 is equivalent to

Answers

Answer:

x ≥ -4

Step-by-step explanation:

4x+5 ≤ 2x-3

Collect like terms

4x-2x ≤ -3-5

Simplify

2x ≤ -8

Divide both sides by 2

2x / 2 ≤ -8 / 2

x ≥ -4

Which property can you use to show that 6x – 3x + 9y + 4 + 11 is equivalent to 3(x + 3y + 5)?

Answers

Answer:

Distributive property

Step-by-step explanation:

6x – 3x + 9y + 4 + 11 =

First, we combine like terms.

= 3x + 9y + 15

Now we use the distributive property to factor out a common factor.

= 3(x + 3y + 5)

The  property can you use to show that 6x – 3x + 9y + 4 + 11 is equivalent to 3(x + 3y + 5) is  Distributive property

What is Distributive property

To show that 6x - 3x + 9y + 4 + 11 is equivalent to 3(x + 3y + 5), we can use the distributive property of multiplication over addition.

The distributive property states that for any real numbers a, b, and c:

a(b + c) = ab + ac

6x – 3x + 9y + 4 + 11 =

First, we combine like terms.

= 3x + 9y + 15

Now we use the distributive property to factor out a common factor.

= 3(x + 3y + 5)

Read more about  Distributive property here:

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You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ = 24.2 σ=24.2. You would like to be 98% confident that your estimate is within 1 of the true population mean. How large of a sample size is required?

Answers

Answer:

use a z* value accurate to TWO places for this problem. (Not z = 2)

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

;)

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Distinguish between concave mirror and convex mirror Palmer Corp. owned 20,000 shares of Dixon Corp. purchased in 2006 for $240,000. On December 15, 2009, Palmer declared a property dividend of all of its Dixon Corp. shares on the basis of one share of Dixon for every 10 shares of Palmer common stock held by its stockholders. The property dividend was distributed on January 15, 2010. On the declaration date, the aggregate market price of the Dixon shares held by Palmer was $400,000. The entry to record the declaration of the dividend would include a debit to Retained Earnings of Suppose that Y1, Y2,..., Yn denote a random sample of size n from a Poisson distribution with mean . Consider 1 = (Y1 + Y2)/2 and 2 = Y . Derive the efficiency of 1 relative to 2. 2.Which of the alcohols listed below would you expect to react most rapidly with PBr3?A)CH3CH2CH2CH2CH2CH2OHB)(CH3CH2)2CH(OH)CH2CH3C)(CH3CH2)2CHOHCH3D)(CH3CH2)3COHE)(CH3CH2)2C(CH3)OH 4.9x10^_8 In decimal notation ASAP When ______ is hydrolyzed, it forms _______. A. protein, amino acids B. ATP, ADP C. polysaccharide, monosaccharide D. lipid, triglyceride cientists tried inserting the jellyfish gene that codes for luminescence into bacteria. Not all bacteria where transformed. Which bacteria were transformed? a Only the bacteria that glow in the dark were transformed. b Both glowing and non-glowing bacteria were transformed. c Only the bacteria that can now survive in the sea were transformed. d Only the bacteria that do not glow in the dark were transformed. Easy question!!!!!pls help!!will give the brainliest!!plz help!!just write the letters of the correct parts.Pls answer correctly.Urgent!! List the two places you should look first when considering a topic to write about. How did Japanese economy recover so quickly after WW2 How to do this question plz answer me step by step plzz What expression is equal to6 e + 3 (e-1) Which of the following approaches should the Fed use if it experiences large lags and mistakes in monetary policy?a. Discretionary policy b. An eclectic approach c. Fixed rules d. Fiscal policy Which organization does not work for consumers Federal trade comission Food and drug administration Federal treasury Better business bureau Where is La Martinique located PLEASE HELP!!! (1/5) - 50 POINTS- What would the 60 is x% of 12. Find the value of x. Estela compra la comida en la _________. tienda juguetera biblioteca comisara Metal A reacts with oxygen to form an oxide.The oxide is dissolved in water to form a soluble hydroxide.What is the solution formed called and what is metal A The expression $16x^2-106x-105$ can be written as $(8x + a)(2x + b),$ where $a$ and $b$ are integers. What is $a + 2b$?