In 8 years Jamie will be three times as old as she is now. How old is Jamie?

Answers

Answer 1

Answer:

x=4

Step-by-step explanation:

Based on the given conditions, formulate: 

x+8=3×x

Rearrange unknown terms to the left side of the equation:

x-3x=-8

Combine like terms:-2x=-8

Divide both sides of the equation by the coefficient of variable:x=-8/-2

Rewrite the fraction:8/2

Cross out the common factor:x=4

get the result:x=4

Answer: 4


Related Questions

Write down the first three and last two terms of the binomial expansion of:
a) (3x+(2/x))^15
b) (2x-(3/x))^20

Answers

Answer:

a) [tex](3x)^{15} + 15(3x)^{14}(\frac{2}{x}) + 105(3x)^{13}(\frac{2}{x})^2 + ... + 15(3x)(\frac{2}{x})^{14} + (\frac{2}{x})^{15}[/tex]

b) [tex](2x)^{20} + 20(2x)^{19}(-\frac{3}{x}) + 190(2x)^{18}(-\frac{3}{x})^2 + ... + 20(2x)(-\frac{3}{x})^{19} + (-\frac{3}{x})^{20}[/tex]

Step-by-step explanation:

The binomial expansion formula is:
[tex](a + b)^n = a^n + \binom{n}{1}a^{n-1} b + \binom{n}{2}a^{n-2}b^2 + ... + \binom{n}{r}a^{n-r}b^{r} + ... + b^n[/tex]
The (n r) in front of each term is the binomial coefficient. This can be calculated on a calculator using the nCr button (in this case, you'd put 15C1 for (n 1), 15C2 for (n 2), etc). This can be calculated without a calculator using this formula:
[tex]\binom{n}{r} = \frac{{n!}}{{r!\left( {n - r} \right)!}}[/tex]

In a), a = 3x, b = 2/x and n = 15.

You can plug these into the formula above to get:
[tex](3x)^{15} + 15(3x)^{14}(\frac{2}{x}) + 105(3x)^{13}(\frac{2}{x})^2 + ... + 15(3x)(\frac{2}{x})^{14} + (\frac{2}{x})^{15}[/tex]

Here's how to do this without the formula:

Start with the a^nIn the second term, you subtract 1 from a's power (in this case, 15 to 14) and add 1 to b's power (0 to 1). Then you multiply it by nCr.This keeps going until you get to b^n. To check you've done it correctly, the powers of a and b in each term should add up to n. For example, in term 3 above, a's power is 13 and b's power is 2. These add to make 15.Remember, a's power goes down by 1 each time, and b's power goes up by 1 each time. There is no b in the first term because b^0 = 1.

You could 'simplify' this by expanding the brackets, but this gives you massive numbers so it's probably best to leave it like this.

Applying this to b):

a = 2x, b = -3/x, n = 20


[tex](2x)^{20} + 20(2x)^{19}(-\frac{3}{x}) + 190(2x)^{18}(-\frac{3}{x})^2 + ... + 20(2x)(-\frac{3}{x})^{19} + (-\frac{3}{x})^{20}[/tex]

What is the measure of USQ⌢

Answers

Answer: 227

Explanation: Arc URS is a semi-circle, equaling to 180.
Angle UPT is 47, vertical to Angle QPR.
So just add 180 + 47. = 227

5. Find the value of the 11th term of the arithmetic sequence
-2, 5, 12, 19, 26, ...(11th term)

Answers

Answer:

-2, 5, 12, 19, 26, 33, 40, 47, 54, 61, 68, 75, 82, 89, 96, 103

A runner runs a distance of 350 metres in a time of 50 seconds.
What is his average speed?

Answers

Answer:

7

Step-by-step explanation:

350÷50=7

................

Seven meters per second

did I solve this problem right?

Answers

Step-by-step explanation:

¿qué es eso?¿es esto importante? :)

This is what I got.

During a math game, a team kept track of their answers. The following diagram describes the number of answers they got right to the number they got wrong

Answers

okay so there’s 10 total answers.
the amount of wrong answers is 2
so that would give us a ratio of 2:10
we can simplify this answer
this gives us 1:5
1 being wrong and 5 being right
flip these and the answer is
5:1

find the vertical height of a cone if the radius is 4 cm and the curved surface area is 60 cm​

Answers

Answer:

2.65 cm

Step-by-step explanation:

Applied Formula :

Curved Surface Area = πrl

Solving :

60 = 3.14 x 4 x ll x 12.56 = 60l = 4.8 cm

h² = l² - r²h² = (4.8)² - (4)²h = √23.04 - 16h = √7.04h = 2.65 cm

need help with this ASAP: methods for solving right triangles.

Answers

Explanation:

1) sin(37º)=x/10.3————>trigonometric ratio (sine)

2)7²+10²=c²—————-> pythagorean theorem

3) using sine—————> sin(51º)=9/x

using tangent —————> tan(51º)=9/x and x = 7.3 (rounded)

4)using pythagorean theorem————> 6²+7²=c²

angle b is tanx=6/7 where x = 40.6 degrees, angle a is tanx=7/6 where x = 49.4

Answers:

1)x= 6.2

2)x= 12.2

3)x= 11.6 (rounded)

4)x= 9.2

credit to genan for question 3 and 4

ur welcome :)

correct me if im wrong

brainliest please?

Layne says the probability of the high school team winning the football game is 75%.

abdul says the probability is 3 5 .

who thinks the event is more likely, layne or abdul? explain.

Answers

The person who thinks the event is more likely is Layne. This is because she has a higher probability value than Abdul.

Who thinks the event is more likely?

Probability determines the chances that an event would happen. The probability the event occurs with certainty is 1 and the probability that the event would not occur with certainty is 0. The closer the event is to 1, the more likely the event would happen

Layne's probability that the event would happen = 75%

Abdul's probability that the event would happen = 3/5 x 100 = 60%

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A triangle has a base length of 2ac2 and a height 6 centimeters more than the base length. Find the area of the triangle if a = 4 and c = 2.

Answers

The area of the triangle is 608 cm².

What is area?

Area is the region bounded by a plane shape.

To calculate the area of the triangle, we use the formula below.

Formula:

A = bh/2............................ Equation 1

Where:

A = Area of the triangleb = Base of the triangleh = Height of the triangle

From the question,

Given:

b = 2ac²

If

a = 4, c = 2b = (2×4×2²) = 32 cmh = (32+6) = 38 cm

Substitute these values into equation 1

A = (32×38)/2A = 608 cm²

Hence, the area is 608 cm².

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Metal A has a density of 12.7 g/cm3.
55 g of metal A is combined with metal B to create an alloy with mass 90 g and density 10.7 g/cm3.
What is the density of metal B?
Round your answer to 2 decimal places.

Answers

Using the given information, the density of metal B is 8.58 g/cm³

Calculating density

From the question, we are to determine the density of metal B

From the given information,

55 g of metal A is combined with metal B to create an alloy with mass 90 g

∴ Mass of metal B in the alloy = 90 g - 55 g = 35 g

Now, we will determine the volume of metal A in the alloy

Using the formula,

Density = Mass / Volume

∴ Volume = Mass / Density

Volume of metal A in the alloy = 55/12.7

Volume of metal A in the alloy = 4.33 cm³

Then, we will determine the volume of the alloy

Volume of the alloy = 90/10.7

Volume of the alloy = 8.41 cm³

∴ Volume of metal B in the alloy = 8.41 cm³- 4.33 cm³

Volume of metal B in the alloy = 4.08 cm³

Now, for the density of metal B

Density = mass / volume

Density of metal B = 35 / 4.08

Density of metal B = 8.58 g/cm³

Hence, the density of metal B is 8.58 g/cm³.

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Q1.Simplify:
(I) {1³+2³}×(1/3) ²
(II) {5^-1×4^-1}²
(III) {(1/3) ^-1×(1/2)^-2}÷(1/4) ^-3

Give correct answer I will mark as brianlist. It wrong will deleated.

Answers

[tex]\textbf{(i)}\\\\\{1^3 +2^3 \} \times \left(\dfrac 13 \right)^2\\\\=(1+8) \left(\dfrac 19 \right)\\\\=9\left(\dfrac 19 \right)\\\\=1\\\\[/tex]

[tex]\textbf{(ii)}\\\\\{5^{-1}\times 4^{-1}\}^2\\\\=\left(5^{-1} \right)^2 \times \left(4^{-1} \right)^2~~~~~~~~~~~;[(ab)^m = a^mb^m]\\\\=5^{-2}\times 4^{-2}~~~~~~~~~~~~~~~~~~~~;[(a^m)^n = a^{mn}]\\\\=\dfrac 1{5^2} \times \dfrac 1{4^2}~~~~~~~~~~~~~~~~~~~~~~;\left[a^{-m} = \dfrac 1{a^m},~ a\neq 0 \right]\\\\=\dfrac{1}{400}\\\\=0.0025\\\\[/tex]

[tex]\textbf{(iii)}\\\\\left\{ \left(\dfrac 13 \right)^{-2} \times \left( \dfrac 12 \right)^{-2}\right\}\div \left(\dfrac 14 \right)^{-3}\\\\\\=\left( \dfrac 13 \times \dfrac 12 \right)^{-2} \div\left(4^{-1}\right)^{-3}\\\\\\=\left(\dfrac 16 \right)^{-2} \div 4^3\\\\\\=\left(6^{-1} \right)^{-2}\div 4^3\\\\\\=6^2 \div 4^3\\\\\\=36\div 64\\\\\\=\dfrac{9}{16}\\\\\\=0.5625[/tex]

write an equation to estimate the difference of 18/20 - 5/8

Answers

Answer:

0.275

Step-by-step explanation:

Suppose you have the following null and alternative hypothesis

Answers

A type I error takes place if a given null hypothesis is rejected but is said to be true in the population such as the forecast shows it is snowing outside but actually it is isn't.

What is type 11 error?

A type II error is known to be a statistical term that tells the error that takes place when one fails not to accept a null hypothesis that is said to be really false. A type II error create a false negative.

It known is known also as an error of omission. Example is the forecast shows that It is not snowing but it is actually snowing.

Note that:

Type I error is false positive.Type II error is false negative.

The power of the test shows that:

The Power is the likelihood of rejecting the null hypothesis even if it is false.Power is the likelihood of making the right decision that is to reject the null hypothesis even if the null hypothesis is false.Power is the likelihood  of not making a Type II error and others.

See full question below

Suppose you have the following null and alternative hypothesis:

H o: it is snowing.

H a: It is not snowing

(A) in the context of this problem, describe a Type-1 error

(B) Describe Type II error

(C)Describe power of the test

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Write the following as algebraic expressions. r decreased by 3

Answers

Answer:

r - 3

Step-by-step explanation:

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to write the verbal phrase "r decreased by 3" as an algebraic expression.

[tex]\triangle~\fbox{\bf{KEY:}}\star[/tex]

Think about it. "decreased by". If we decrease a number by another number, what happens to the first number?

Here we decrease the variable "r" by 3.

Remember, variables always represent some number.

Let's think about it this way...

///\\\////\\\\////\\\///\\\///\\\///\\\///\\\///\\///\\///\\///\\///\//\\///\\\///\\\///\\\///\\///\\\///\

So we have a number r, and we decrease it by 3.

Now its value is less than the original value.

We subtracted 3 from the original value of r, and now its value is less than the original one.

Thus, "decreased by" is the same as "subtracted" in mathematics.

r decreased by 3 ⇒ [tex]\star\large\pmb{r-3}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

Make a table to help solve this problem. Cory, Srey, Molly, and Mao each visited a different city: Santa Clara, Seattle, Des Moines, and Pittsburgh. Cory and Molly visited cities with two words in their names. Mao and Cory visited cities whose names start with an S. Who visited Pittsburgh?

Answers

From the table we can say Srey visited Pittsburgh if the Cory, Srey, Molly, and Mao each visited a different city: Santa Clara, Seattle, Des Moines, and Pittsburgh.

What is reasoning?

When making a choice or addressing an issue, reasoning is the ability to appraise things rationally by using logic based on new or existing information.

We have:

Cory, Srey, Molly, and Mao each visited a different city: Santa Clara, Seattle, Des Moines, and Pittsburgh. Cory and Molly visited cities with two words in their names.

Mao and Cory visited cities whose names start with an S.

The table can be make to show the information provided:

Cory - city with 2 words

Molly - city with 2 words

Mao - starting with an s

Cory - starting with an s

cities are : Seattle, Santa Clara,Pittsburgh,Des Moines

The table is:

Name            City name

Cory               Santa Clare

Molly              Des Moines

Mao                Seattle

Srey               Pittsburgh

Thus, from the table we can say Srey visited Pittsburgh if the Cory, Srey, Molly, and Mao each visited a different city: Santa Clara, Seattle, Des Moines, and Pittsburgh.

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Look at the dot plots below. Compare the shapes of the distributions of the results from the two experiments.

Answers

The shape of experiment 1 is roughly bell shaped. This indicates that it is normally distributed. The shape of experiment 2 is asymmetrical. This indicates that it is not normally distributed.

What is a dot plot?

A dot plot is a graph that is used to represent the frequency of a data set using dots. The dots represents the frequency of a number.  The results from experiment 1 is more spread out over the numbers compared to experiment 2 which is concentrated around the center.

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Given (x – 1)2 = 50, select the values of x.

Answers

Answer:

[tex]x= 1 +5\sqrt 2,~~ x=1-5\sqrt 2[/tex]

Step-by-step explanation:

[tex]~~~~~~(x-1)^2 = 50\\\\\implies x -1 = \pm\sqrt{50}\\\\\implies x = \pm\sqrt{25 \times 2} +1\\\\\implies x= 1 \pm 5\sqrt 2[/tex]

What additional information would prove that DEFG
an isosceles trapezoid?

A- DE≈GF
B-DE≈DG
C-EF≈DG
D-EF≈GF

Answers

For the trapezoid to be proven to be an isosceles trapezoid, the additional information needed is: A. DE ≅ GF

What is an Isosceles Trapezoid?

An isosceles trapezoid is a type of trapezoid whose opposite non-parallel sides have the same side length and base angles that are congruent.

In essence, for trapezoid DEFG to be proven to be an isosceles trapezoid, DE must be congruent to GF.

The additional information needed is therefore: A. DE ≅ GF

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Work out the perimeter of a circle with radius 3cm.
Give your answer in terms of [tex]\pi[/tex]

Answers

Answer:

  6π cm

Step-by-step explanation:

For a circle, the perimeter is equal to the circumference. The formula for the circumference of a circle is ...

  C = 2πr

where r is the radius of the circle.

__

using the formula

Substituting the given value of radius into the formula gives ...

  C = 2π(3 cm)

  C = 6π cm

The perimeter of the circle is 6π cm.

Please HELP!! Need to finish before the end of the day!

Answers

Answer & Step-by-step explanation:

I have attached two ways you can find the number of green Jolos, by adding and/or subtracting from the other known values. Both ways will give the answer of C. 280 Jolos

Line segment AB has endpoints A(1,8) and B(7,−4). What are the coordinates of the point located 5/6 of the way from A to B?
O (-4, 11 1/3)
O (3, -2 1/3)
O (6, -2)
O (12, -14)

Answers

The coordinate of the point is (6,-2)

How to determine the coordinate of the point?

The given parameters are:

A = (1,8)

B = (7,-4)

The location of the point (i.e 5/6) means that the ratio is:

m :n = 5 : (6 - 5)

m : n = 5 : 1

The coordinate of the point is then calculated as:

[tex](x,y) = \frac{1}{m + n}* (mx_2 + nx_1,my_2 + ny_1)[/tex]

So, we have:

[tex](x,y) = \frac{1}{5 + 1}* (5 * 7 + 1 * 1 , 5 * -4 + 1 * 8)[/tex]

Evaluate

[tex](x,y) = \frac{1}{6}* (36 , -12)[/tex]

Evaluate the product

(x,y) = (6,-2)

Hence, the coordinate of the point is (6,-2)

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nich
2. What quantity should be added to both sides of
this equation to complete the square?
x² - 8x = 5

Answers

Answer:

[tex]16[/tex]

Step-by-step explanation:

[tex]~~~~~~x^2 -8x = 5 \\\\\implies x^2 -2\cdot 4 \cdot x+ 4^2 = 5+ 4^2~~~~~~~~~~~~;[\text{Add}~ 4^2 = 16 ~ \text{to both sides }]\\\\\implies (x-4)^2 = 21[/tex]

Help!

i will report you if you give a bs answer :)

19. a certain chain saw requires a fuel mixture of 5.5% oil and the remainder gasoline. how many liters of 2.5% mixture and how many of 9% mixture must be combined to produce 40.0 liters of 5.5% mixture?

a. 12 4/23 liters of 2.5% and 28 19/23 liters of 9%
b. 28 19/23 liters of 2.5% and 12 4/23 liters of 9%
c. 21 liters of 2.5% and 18 liters of 9%
d. 18 6/13 liters of 2.5% and 21 7/13 liters of 9%
e. 21 7/13 liters of 2.5% and 18 6/13 liters of 9%
f. 18 7/13 liters of 2.5% and 21 6/13 liters of 9%

20. mary can row at the rate of 4 miles per hour in still water. rowing downstream in a river, she can travel 3 times as far in 1 hour as she can rowing upstream. what is the rate of flow in the river?

a. 1 miles per hour
b. 2.5 miles per hour
c. 4 miles per hour
d. 2 miles per hour
e. 3.5 miles per hour
f. 3 miles per hour

Answers

Answer:

E      

Step-by-step explanation:

19)        Amount of oil in   =    amount of oil in final product

       .025(x) + .09(40-x)    =    .055(40)      (x = 2.5% amt   40 - x = 9% amt)

  x = 21.54 L  of   2.5 %     then 9% = 18.46 L

what is a good approximating for 4pi^3

Answers

Answer: 123.84

Step-by-step explanation: You can set pi as 3.14. Then, you get 123.836576. Round to the nearest hundredth to get 123.84.

Which table represents a function?

Answers

Answer:

The one on the top left

Step-by-step explanation:

What makes a function, a function is that the x coordinate (x,y), cannot be repeated in the tables. The y coordinate can though.

What is the volume, in cubic centimeters, of a rectangular prism with a height of 8 centimeters, a width of 6 centimeters, and a length of 6 centimeters?

Answers

Answer:

288

Step-by-step explanation:

area of the base times the height. base is 6*6=36. Then 36*8 is 288

1/4 of the players on every team are girls. Write 3 fractions equivalent to 1/4

Answers

Answer:

2/8, 3/12 and 4/16

Step-by-step explaination:

All these fractions are equivalent to 1/4 as the numerator is a multiple of 1, the denominator is a multiple of 4, and the numerators are all a quarter of their respective denominators.

22+6[(14-5)÷3(17-14)]

I got 76 and every calculator I use says 76 but in the back of the book it says the answer is 28. Am I missing something or could it be a typo?
My work:
22+6[(14-5)÷3(17-14)]
22+6[(9)÷3(3)]
22+6 [(3)(3)]
22+6(9)
22+54 = 76

Answers

The simplification of the expression is 28. The mistake in your calculation occurred in step 3.

What is the process involved in simplifying expression involving brackets?

TO simplify expressions involving brackets, we use a common method called BODMAS (Brackets, Of, Division, Multiplication, Addition, and Subtraction).

This means that we will first solve the expression in brackets first, followed by division, multiplication, addition, and subtraction as the case may be.

Now, from the given information, we have:
= 22+6[(14-5)÷3(17-14)]

solving parameters in the bracket first, we have:
= 22 + 6[(9) ÷3(3)]

= 22 + 6[(9) ÷9]          

The above step is where you missed it from your calculation, you must first open all brackets within brackets before solving them.

= 22 + 6[(9) ÷9]    

= 22 + 6[ 1]

= 22 + 6

= 28

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could someone please help will give brainliest

Answers

Answer:

A - x = 4

Step-by-step explanation:

According to The Midsegment Trapezoid Theorem the length of the midsegment is the sum of both bases divided by 2.

So to find the value of x:

x + 3 + 4x  7 = 15*2  add like terms

5x + 10 = 30 subtract 10 from both sides

5x = 20 divide both sides by 5

x = 4

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