Pete is 14 and his grandfather is 54. How many years
ago was his grandfather 6 times as old as Pete?

Answers

Answer 1

Answer:

6 years ago

Step-by-step explanation:

[tex]6(14-x)=54-x\\84-6x=54-x\\30-6x=-x\\30=5x\\6=x[/tex]

So, Pete's grandfather was 6 times as old as Pete 6 years ago. This means that when Pete was 8 years old, his grandfather was 48 years old.


Related Questions

helppppp this is so confusing

Answers

Answer:

on the graph all u have to do is draw the line Have a great day and i hope this helps!

Step-by-step explanation:


Match the correct corresponding parts. Make sure your letters are in the correct order!!
SAT~GRE

Answers

Answer:

Step-by-step explanation:

Emma has £37 in her bank account she starts putting £7 into her account each week write and solve an equation to find how many weeks it will take for emma to have £100 in her bank account r

Answers

Answer:

9 weeks

Step-by-step explanation:

Emma has £37 in her bank account she starts putting £7 into her account each week write and solve an equation to find how many weeks it will take for emma to have £100 in her bank account r

(100 - 37) : 7 =

63 : 7 = 9

check

37 + 9 * 7 = 100

the answer is good

find two numbers who's difference is 10 and 1/6 of whose sum is 11

Answers

Answer:

38 and 28

Step-by-step explanation:

let the 2 numbers be a and b

(a - b)= 10.................................................1

1/6(a + b) = 11

hence (a + b) = 66...................................2

adding 1 and 2

a -b + a + b = 10 + 66

2a=76

a = 38

b=28

Lamonte and Fwam own competing taxicab companies. Both cab companies charge a one-time pickup fee for every ride, as well as a charge for each mile traveled. The equation y=2.2x+2.5 represents what Lamonte's company charges. Fwam charges a $4 pickup fee and $2.80 per mile. Use the dropdown menu and answer-blank below to form a true statement.

Answers

The cab rate model for Fwam will be given as y=2.8x+4.

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Here we have an equation model for Lamonte y=2.2x+2.5 here y is the total cost and x is the distance in miles.

So here Fwam charges a $4 pick up fee and $2.80 per mile. The equation model will be:-

y=2.8x+4.

Hence cab rate model for Fwam will be given as y=2.8x+4.

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Solve for the variable:
-3-√5x² = 2

Answers

Answer:

No solution or Undefine

Step-by-step explanation:

Solve 1 over 3 (2x - 8) = 4

Answers

Answer:

X=10

Step-by-step explanation:

1. 1/3 (2x-8)=4

2. 2x/3 - 8/3 = 4

3. 2x/3 = 4+2 2/3

2x/3 = 6 2/3

2x/3 = 20/3(Criss cross method)

6x = 60

x=10

brainly pls!

Suppose that F(x) = x² and G(x) = -1/3 (x+4)^2. Which statement best compares the graph of G(x) with the graph of F(x)?​

Answers

Answer: C

Step-by-step explanation:

The graph is shifted 4 units left as seen with (x+4) so x = -4.

The graph is reflected over the x axis as seen with -a

The graph is compressed vertically because the functions a value is less than f(x) = [tex]x^2[/tex]

Answer:

D

Step-by-step explanation:

Changes observed :

Coefficient of x² becomes 1/3 of original, this means it is vertically compressedAlso, the coefficient has become negative, meaning it is flipped over the x-axisx² is now (x + 4)², this means it has shifted 4 units to the left.

The correct option is D.

Please help I will mark brainliest.

Answers

Answer: Can you take a more clear picture

Step-by-step explanation:

Ryan had a job during his summer vacation. He earned $7.25 per hour. He worked 15 hours a week for 6 weeks. How much money did Ryan earn?

Answers

3,262.5 that is the answer
Ryan earned $652.50
how?: well if he worked 15 hours a week for 7.25, he would have earn $108.75 in a single week. Since we want to know how much he would earn in 6 week while working the same hours, simply multiply by 6 * 108.75 and you will get 652.50

The vector u has magnitude 6 and direction 330°. If vector v = =-u, then what is
the magnitude and direction of vector v? Write your direction in degrees in the
interval 0° 0 < 360°.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

It's been given that :

[tex]\qquad \sf  \dashrightarrow \: \vec{v} = - \vec{u}[/tex]

And magnitude of vector u is 6 units and with a direction 330°

And we are asked to find the magnitude and direction of vector v ~

So, let's get stated ~

As we can observe, vector v and vector u have equal magnitude because they have equal sign between them.

that is :

[tex]\qquad \sf  \dashrightarrow \: | \vec{v} | = | \vec{u}| [/tex]

[tex]\qquad \sf  \dashrightarrow \: | \vec{v}| = 6 \: units[/tex]

And the negative sign in the equation shows that the two vector have opposite directions or you can say they are anti-paralllel.

So, we can just rotate vector u by 180° to get vector v ~

[tex]\qquad \sf  \dashrightarrow \: \hat{n} = 330 \degree - 180 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \: \hat{n} = 150 \degree[/tex]

Conclusion :

vector v has magnitude of 6 units and direction 150°

Does anybody know this? I know what the radius is but when I calculated my answer doesn't match the options. Find the surface area of a sphere is the area of the great circle is 81pi in^2

Answers

[tex]\stackrel{\textit{area of the great circle}}{A=\pi r^2}\hspace{5em}81\pi =\pi r^2\implies \cfrac{81\pi }{\pi }=r^2\implies 81=r^2 \\\\\\ \sqrt{81}=r\implies 9=r \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{surface area of the sphere}}{SA=4\pi r^2}\hspace{5em}SA=4\pi (9)^2\implies SA=324\pi ~in^2[/tex]

pls help pls help pls help

Answers

Answer:

three four five

u welcome glam rock freddy

Jane spent $27 on fruit at the grocery store. She spent a total of $60 at the store. What percentage of the total did she spend on fruit.

Answers

Answer:

45%

Step-by-step explanation:

Divide 27/60, which gives you 0.45. Multiply that by 100, you get 45 percent.

Answer:

45%

Step-by-step explanation:

27/60

How you would divide. 17.6 divided by 3.2? *

Answers

The answer is 5.5 I know it is

In the set of scores: 14, 17, 10, 22, 19, 24, 8, 12, and 19, the Q2 is?


15
17
16
13

Answers

Answer:

17

Step 1: rerrange the data

8 , 10, 12, 14, 17, 19, 19, 22, 24

Q2 is the median
see that the middle number is 17

You toss a nickel a penny and a dime what is the probability that the nickel comes up heads

Answers

The penny can land two ways. The nickel can land two ways. The dime can land two ways. The quarter can land two ways. The total number of ways that all of them can land is (2x2x2x2)= 16 possibilities. Only ONE result shows no heads . . . TAIL-TAIL- TAIL-TAIL. All of the other 15 possibilities include at least one HEAD. So the probability is 15/16 = 93.25% .

What about psychology?

Answers

Psychology is the scientific study of mind and behavior.

innahbee (. ❛ ᴗ ❛.)

Point C is on line segment \overline{BD}
BD . Given CD=2CD=2 and BD=17,BD=17, determine the length \overline{BC}.
BC .

Answers

Answer:

15

Step-by-step explanation:

The segment addition postulate states that if AC is a line with point B, then AB + CD must equal AC.

Setting Up the Equation

Using the postulate above we can set up an equation that is set equal to BD.

BC + CD = BD

Now, rewrite this using the information we are given in the question.

BC + 2 = 17

Solving For BC

Now, we can solve this equation using the properties of equality.

BC + 2 = 17

To solve you need to isolate BC. Do this by subtracting 2 from both sides.

BC = 15

This gives us the answer, 15.

I have 60 balls, 12 of them are blue, 34 of them are green and 14 of them are yellow. What is the probability that I get a blue one

Answers

Answer: As a fraction it is 1/5 but as a percent 20%

Step-by-step explanation:

this is because 12/60=1/5 or 20%

answer is 20%

heres why

ok so if there is 60 balls all together out of all the color and you want to get a blue ball but the blue has less balls out of all the other colored balls so there is would be a less percent of getting a ball of that color out of 100%

you would need to take the blue color of balls and put in a fraction with the amount of balls together

so that would be 12/60

you half 12/60 and you would need to get the percent which is 20% so you have a 20% of getting a blue colored ball

Please help!!!you must use the desmos caculator

Answers

Part (a)

Open up Desmos and click on the button that looks like a plus sign. It's at the upper left corner. We're going to want to add a table.

Type all of the values into the table. This table is stacked vertically compared to yours which is laid out horizontally. It's the same thing pretty much. It depends on your preference on which you like better.

After the data values are typed in (which is a bit of a tedious process if you ask me), you'll then move to the next input box to type the following

[tex]y_1 \sim mx_1 + b[/tex]

Type it in exactly as you see it. To get the small '1's as subscripts, you'll need to use an underscore. So you'll type y_1 to mean [tex]y_1[/tex]

The ~ symbol is likely found in the upper left portion of your keyboard.

After typing that into the second input box, you should get what you see in the screenshot below.

The parameters your teacher wants are the m and b values.

Desmos is showing these values:

m = 0.125873b = -7.11916

These values are approximate. As the instructions state, do not round the values mentioned.

Therefore, we go from y = mx+b to y = 0.125873x-7.11916 approximately

This is the regression line. It is the closest line to all of the points.

Answer: y = 0.125873x-7.11916

===========================================================

Part (b)

The year 2022 is 2022-1900 = 122 years after the year 1900.

This means we'll plug x = 122 into the regression equation to find the predicted value for y.

y = 0.125873x-7.11916

y = 0.125873*122-7.11916

y = 8.237346

I used the Desmos input box as a calculator. Simply type in 0.125873*122-7.11916 exactly as you see it and it should produce the value 8.237346

That then rounds to 8.24

We predict in the year 2022, the minimum wage should be about $8.24

This is an estimated value because the regression line isn't perfect. In fact, the further we move away from the main known points, the worse off the estimation will likely get. This is why extrapolation could be a bad idea. However, it's a fairly good way to see what's going on.

Answer: $8.24

A line has a slope of 2. It passes through the points (1, 2) and (3, y) . What is the value of y?

Answers

Answer:

Step-byThe equation of the line with slope 2 is y=2x+b, b is a constant which should be determined. The line passes via through points (1, 2) and (3,y)

(1, 2): 2=2+b --> b=0

So, the equation of the line is y=2x. Now, when x=3, y=6. So the line y=2x passes through points (1, 2) and (3, 6). (3,y)=(3, 6).-step explanation:

Answer of y is 6.

Refer image


30-32 sketch the region enclosed by the given curves and find its area.
31. [tex]y=\cos ^{2} x \sin x, \quad y=\sin x, \quad 0 \leqslant x \leqslant \pi[/tex]

Answers

Check the picture below.

so hmmm for the sake of completion, let's check where they intersect

[tex]cos^2(x)sin(x)=sin(x)\implies cos^2(x)sin(x)-sin(x)=0 \\\\\\ sin(x)[cos^2(x)-1]=0\implies \begin{cases} sin(x)=0\\ cos^2(x)-1=0 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ sin(x)=0\implies x=sin^{-1}(0)\implies \boxed{x=0} \\\\[-0.35em] ~\dotfill\\\\ cos^2(x)-1=0\implies cos^2(x)=1\implies cos(x)=\sqrt{1} \\\\\\ cos(x)=1\implies x=cos^{-1}(1)\implies \boxed{x=\pi}[/tex]

now, notice, in the picture the function that is "above" or the "ceiling" function is the sin(x), so we'll get the area under the curve by using "above" - "below" functions.

[tex]\stackrel{above}{sin(x)}~~ - ~~\stackrel{below}{cos^2(x)sin(x)} \implies sin(x)-[1-sin^2(x)]sin(x) \\\\\\ sin(x)-[sin(x)-sin^3(x)]\implies ~~\begin{matrix} sin(x)-sin(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ +sin^3(x)\implies sin^3(x)[/tex]

now let's use the triple angle identity of sine

[tex]\stackrel{\textit{triple angle identity}}{sin(3x)=3sin(x)-4sin^3(x)}\implies 4sin^3(x)=3sin(x)-sin(3x) \\\\\\ sin^3(x)=\cfrac{3sin(x)-sin(3x)}{4}\implies sin^3(x)=\cfrac{3}{4}sin(x)-\cfrac{1}{4}sin(3x) \\\\[-0.35em] ~\dotfill\\\\ \displaystyle\int\limits_{0}^{\pi }~sin^3(x)dx\implies \int\limits_{0}^{\pi }~\left[ \cfrac{3}{4}sin(x)-\cfrac{1}{4}sin(3x) \right]dx[/tex]

[tex]\displaystyle \cfrac{3}{4}\int\limits_{0}^{\pi }sin(x)dx-\cfrac{1}{4}\int\limits_{0}^{\pi }sin(3x)dx\implies \left. \cfrac{3}{4} \cdot -cos(x) \right]_{0}^{\pi }-\left. \cfrac{1}{4} \cdot \cfrac{-cos(3x)}{3} \right]_{0}^{\pi } \\\\\\ \cfrac{3}{2}~~ - ~~\cfrac{1}{6}\implies \implies \blacktriangleright \cfrac{4}{3} \blacktriangleleft[/tex]

is (125xy)a binomial or trinomial or monomial or polynomial​

Answers

Answer:

monomial

Step-by-step explanation:

it is correct

Find the probability.

A cooler contains fifteen bottles of sports
drink: five lemon-lime flavored, five
orange flavored, and five fruit-punch
flavored. You randomly grab a bottle for
your coach, a bottle for your friend, and a
bottle for yourself. Your coach and your
friend get orange. You get a fruit-punch

Answers

Using it's concept, it is found that there is a 0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 15 bottles.

5 are orange, hence the is a 5/15 = 1/3 probability that the coach gets orange, hence P(A) = 1/3.After the coach, there will be 14 bottles remaining, of which 4 are orange, hence the probability that the friend gets orange is of P(B) = 4/14 = 2/7.For you, there will be 13 bottles remaining, of which 5 will be of fruit-punch, hence the probability you get fruit-punch is of P(C) = 5/13.

The probability of the three outcomes occurring is given by:

[tex]p = \frac{1}{3} \times \frac{2}{7} \frac{5}{13} = \frac{10}{273} = 0.0366[/tex]

0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

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Select the correct answer.
Which graph shows a function and its inverse?

Answers

Answer:

Graph B

Step-by-step explanation:

Remember that for a function to have an inverse, the function must be 1-to-1. The two functions must also be symmetrical about the line y=x, which is apparent in the second graph.

50 points!! Question 1) Are the corresponding angles in figures ABCD and WXYZ congruent? Yes or No? Question 2) Are the corresponding sides in figures ABCD and WXYZ proportional? Yes or No? Show work for question 2. Question 3) Are figures ABCD and WXYZ similar? Yes or no?

Answers

No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

What is congruency?

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one are congruent to the included angle and corresponding two sides of the other triangle.

Two figures are congruent if their vertices can be mapped into one another by appropriate rigid transformation or a combination of rigid transformations. Examples of the transformation are; reflection, dilation, rotation and translation.

Comparing the two figures, it would be observed that they are not congruent. Since there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

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Answer:not congruent.

Step-by-step explanation:

Anybody know this? Find the value of x in o A

Answers

let's recall that a circle has a total of 360°.  Check the picture below.

How the
GCF
of Monomials helps to factor an expression?

Answers

A greatest common monomial factor is the largest term that goes into a list of given terms. In order to identify the greatest common monomial factor, write the prime factorization of each term, and the product of the common factors is the greatest common monomial factor.

5.369 rounded to the whole number?​

Answers

Answer:

5

Step-by-step explanation:

Find the number in the whole number place

5

and look one place to the right for the rounding digit on the right side of the decimal point

3

.Round up if this number is greater than or equal to

5

and round down if it is less than

5

.

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