Answer:
Richard is twenty-six and Teo is ten.
Step-by-step explanation:
Let x = Richard's age and y = Teo's age
x = 2y + 6
(2y + 6) + y = 36
3y + 6 = 36
-6 -6
3y = 30
y = 10
x = 2(10) + 6
x = 20 + 6
x = 26
Richard is 26
Teo is 10
Clare had t books. After she bought 8 more books, she had 24 books. Write and solve an equation to find the number of books Clare started with
Answer:
24-8=t
Step-by-step explanation:
I cant really explain much...
but, Hope it helps
plz mark brainiest if it does
Solve for k:
k + 6 > -37
Answer:
[tex]\sf k + 6 > -37[/tex]
[tex]\sf k+6-6>-37-6[/tex]
[tex]\boxed{\sf k>-43}[/tex]
Answer:
Subtract 6 from both sides:
K +6 - 6 > - 37 - 6
Simplify the arithmetic:
k > - 37 - 6
Simplify the arithmetic
k > - 43
Determine whether the points p1 (6,9,7), p2(9,2,0), and p3(12,-5,-6) lie on the same line
Answer:
They are not.
Step-by-step explanation:
Let's first calculate the vectors joining the first point to the second and the first to the third, they will be useful later.
[tex]\vec v_1_2 = \vec P_2 -\vec P_1 = <3; -7; -7>\\\vec v_1_3= \vec P_2 -\vec P_1 = <6; -14; -13>[/tex]
At this point we have at least three options:
Write down the line between P1 and P2 in vector form, and then see if we can fit the third point in there.
Calculate the cross product between the two, if it's non-zero the three point are not in a line.
Try to determine the plane passing for the 3 points: if we find one they are not in a line.
Option 1:
The vector form of the lne between the firs two points is [tex]<6+3t;9-7t;7-7t>[/tex]. Let's check the coordinates of the third point:
[tex]x_3:\ 6+3t= 12 \rightarrow t=2\\y_3:\ 9-7t = -5 \rightarrow t =2\\7z_3:\ 7-7t=-6 \rightarrow t = 13/7\ne 2[/tex]
So the three points are not in a line.
Option 2:
Let's calculate the cross product of the two vectors we found at the beginning.
[tex]\vec v_1_2 \times \vec v_1_3 = det \left[\begin{array}{ccc}\hat i&\hat j&\hat k\\3&-7&-7\\6&-14&-13\end{array}\right] = \hat i [-7(-13)-(-14)(-7)] - \hat j[3(-13)-6(-7)]+\hat k [3(-14)-6(-7)] = 7\hat i -3 \hat j + 0 \hat k \ne 0[/tex]
Since the result is not the null vector, the three points are not in a line.
Option 3:
Let's write the plane (in the [tex]z= ax+by+c[/tex] form that contain the three points. If the thre points are in a line, means that we can find only two of these parameters.
[tex]P1: 7= 6a+9b+c\\P2: 0= 9a+6b+c\\P3: -6= 12a-5b +c[/tex]
Since you can determine a, b and c ( I ended up with [tex]a=-\frac {10}3; b=-\frac18; c= \frac{123}8[/tex] but I probably messed something in there) the thre points are not in a line
if 1/2x + 6 = -x -3, what is the value of -2x?
Answer:
12
Step-by-step explanation:
Hi there!
We are given the following equation:
1/2x + 6 = -x-3
And we want to find the value of -2x
First, let's solve for x, and then substitute the number found as x into -2x to find the value of -2x
Start by adding x to both sides to remove -x from the right side
1/2x + 6 = -x -3
+x +x
_______________
3/2x+6=-3
Subtract 6 from both sides to remove it from the left side
3/2x=-9
Multiply both sides by 2/3 in order to clear the fraction
x=-6
Now substitute -6 as x into -2x
-2x
x=-6
-2(-6)=12
Hope this helps!
Rachel invests $25,000 at age 25. She hopes the investment will be worth $125,000 when she turns 50. If the interest compounds continuously, approximately what rate of growth will she need to achieve her goal? Round to the nearest tenth of a percent.
The rate of growth will she need to achieve her goal is 2.8%
The formula for finding the compound amount is expressed as:
[tex]A =P(1+\frac{r}{n} )^{nt}[/tex]
P is the amount invested = $25000
t is the time in years = 25 years
A is the amount = $125000
r is the rate in %
Substitute the given parameters into the formula to have:
[tex]125000 =25000(1+r )^{25}\\5 =(1+r)^{25}\\log5=25log(1+r)\\log(1+r)=\frac{log5}{25} \\log(1+r)=0.02796\\1+r = e^{0.02795}\\1+r=1.0283\\r = 1.0283 -1\\r = 0.0283\\[/tex]
Hence the rate of growth will she need to achieve her goal is 2.8%
Learn more about compound amount here: https://brainly.com/question/18442810
1. Find the value of y that corresponds to x = 5 :
y = - 4 + 5(x + 6)
Answer:
X=5
y= -4+5(5+6)
y= -4+25+30
y= -4+55
y = 51
Tim bought 3 pens and 5 pencils at the school store. The pens and pencils
were the same price. He also bought 2 erasers for 50¢ each. He spent $5 total
at the school store. How much is a pen or pencil at the school store?
Answer:
The answer to " How much is a pen or pencil at the school store?" is $0.5
Step-by-step explanation:
3+5=8
-1.00 for erasers
total cost now =4
4/8= $0.5
total cost of everthing =5
Which of the following is not a question to ask to determine the reasonability of a solution?
A. Do the units match what is given in the word problem?
B. Does the answer match what the question is asking for in the problem?
C. Does the numerical answer match up with the correct variable?
D. Is the magnitude of the numeric portion of the answer within an expected range?
Answer:
D IS THE ANSWER
Step-by-step explanation:
HOPE IT HELPS
simplify -4y+8y answer quick pls
Step-by-step explanation:
-4y + 8y = 4y
it is the same as -4 + 8 = 4
Answer:
4y is the answer.
Step-by-step explanation:
Since there is like variables, we can add -4y and 8y.
=> -4y + 8y = 4y.
Therefore, 4y is the answer. Hoped this helped.
Bella conducted a scientific experiment. For a certain time, the temperature of a compound rose
3
1
3
3
3
1
degrees in
15
15 minutes. What was the rate, in degrees per hour, that the temperature of the compound rose?
Answer: 13 1/3 degrees per hour
Explanation: 10/3 x 4 = 40/3
40/3 = 13 1/3
Solve 3h+g=5h-hg for h
Answer: [tex]h=\frac{-g}{g-2}[/tex]
Step-by-step explanation:
Let's solve for h.
[tex]3h+g=5h-hg[/tex]
Step 1: Add [tex]gh[/tex] to both sides.
[tex]g+3h+gh=-gh+5h+gh[/tex]
[tex]gh+g+3h=5h[/tex]
Step 2: Add [tex]-5h[/tex] to both sides.
[tex]gh+g+3h+-5h=5h+-5h[/tex]
[tex]gh+g-2h=0[/tex]
Step 3: Add [tex]-g[/tex] to both sides.
[tex]gh+g-2h+-g=0+-g[/tex]
[tex]gh-2h=-g[/tex]
Step 4: Factor out the variable [tex]h[/tex].
[tex]h(g-2)=-g[/tex]
Step 5: Divide both sides by [tex]g-2[/tex].
[tex]\frac{h(g-2)}{g-2} =\frac{-g}{g-2}[/tex]
[tex]h=\frac{-g}{g-2}[/tex]
Answer:
[tex]h=\frac{-g}{g-2}[/tex]
which sets does -8/9 belong to
Answer:
all of the above
Step-by-step explanation:
Leah took her friends for a ride in her hot air balloon. The function fff models the height of the hot air balloon above the ground (in meters) as a function of time (in minutes) after takeoff.
Plot the point on the graph of fff that corresponds to when the hot air balloon landed.
Answer: point (60,0)
Step-by-step explanation: the x-intercept (60,0) shows that at 60 minuetes the balloon is 0 meter above the ground
The coordinates of the function of height and time are (210, 0) and (60, 10). The graph is attached below.
What is function?The function is a relationship between a set of potential outputs and a set of possible inputs, where each input has a single relationship with each output. This means that if an object x is present in the set of inputs (also known as the domain), then a function f will map that object to exactly one object f(x) in the set of potential outputs (called the co-domain).
Given:
r(t) = 210 - 15t
Calculate the height after 10 minutes as shown below,
The height = 210 - 15 × 10
The height = 210 - 150
The height = 60
At time 0 the height will be,
The height = 210 - 15 × 0
The height = 210 - 0
The height = 210 meters,
Thus, the coordinates will be (210, 0) and (60, 10)
To know more about function:
https://brainly.com/question/5975436
#SPJ2
Felicia bought 20.8 gallons of gasoline. There are approximately 3.8 liters in 1 gallon.
Answer:
79.04 liters
Step-by-step explanation:
20.8 x 3.8 = 79.04
how many ten thousand are in 1,000,000?
Answer:
100
Step-by-step explanation:
10,000 * 100 = 1,000,000
So there are 100 ten thousands in 1,000,000
Guided Practice
The graph of y = 2(x + 1)2 − 4 is a translation 1 unit horizontally and 4 units vertically of the function y = 2x2. Graph this function in your notebook.
Type your answer and then click or tap Done.
The vertex of the parabola is (Fill in the blank text field 1
, Fill in the blank text field 2
( , )
Answer:
Step-by-step explanation:
hmm
The graph of a quadratic function is always a parabola. The vertex of the parabola after transformation is (-1,-4).
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The graph of the two functions can be made as shown below. Therefore, the two functions are,
y=2x² → Drawn by the red line
y = 2(x + 1)² − 4 → Drawn by the blue line
Now, the vertex of a quadratic function or a parabola is the point at which the function or the parabola changes its slope, it's either the maximum of the function or the minimum of the function, depending on which side the parabola opens.
Hence, The vertex of the parabola after transformation is (-1,-4).
Learn more about Quadratic Equations here:
https://brainly.com/question/17177510
#SPJ5
The mass of Earth is approximately 6 x 10^27 that of the Sun is 330,000 times as much. The gravitational constant is 6.7 x 10^-8 cm/s2.g. The distance of Earth from the Sun is about 1.5 x 10^12 cm. Compute, approximately, the work necessary to increase the distance of Earth from the Sun by 1 cm.
Answer:
12.89
Step-by-step explanation:
ititiiitiiiuuyhgtfvnmmnhhnjijli
The area of a rectangle is 4y+10.A.Represent the area of the rectangle in factored form.B.Use the factored form to give one possible set of dimensions for this rectangle
Answer:
2 ( 2y + 5 )
Step-by-step explanation:
→ Take out 2 as a factor
2 ( 2y + 5 )
Answer:
A = 2(2y + 5)2 and 11 (when y = 3)Step-by-step explanation:
The area equation is:
A = lwGiven:
A = 4y + 10This can be factored as:
A = 2(2y + 5)Let y = 3, then the dimensions are:
2 and 2*3 + 5 = 11Simplify the expression
( 3n • 2n^3)^2
Answer:
[tex] \large\color{red}{ \tt{36n⁸}}[/tex]
Step-by-step explanation:
[tex] \large\color{lime}{ \tt{(3n×2n³)²}}[/tex]
To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.[tex] \large\color{lime}{ \tt{(3n⁴ × 2)²}}[/tex]
Multiply 3 and 2 to get 6.[tex] \large\color{lime}{ \tt{(6n⁴)²}}[/tex]
Expand (6n⁴)².[tex] \large\color{lime}{ \tt{6²(n⁴)²}}[/tex]
To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.[tex] \large\color{lime}{ \tt{6²n⁸}}[/tex]
Calculate 6 to the power of 2 and get 36.[tex] \large\color{lime}{ \tt{36n⁸}}[/tex]
Hope It's Help
Please help me please
[tex]\huge \bf༆ Answer ༄[/tex]
The translation can be can be expressed as : -
A translation
up 8 units and left 7 units[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
(-4) ⁴ what is the value of this expression
Derivative this Problem.
[tex]\\ \sf\longmapsto {\displaystyle{\lim_{x\to 1}}}\dfrac{x^2-1}{x-1}[/tex]
[tex]\\ \sf\longmapsto {\displaystyle{\lim_{x\to 1}}}\dfrac{x^2-1^2}{x-1}[/tex]
[tex]\\ \sf\longmapsto 2(1)^(2-1)[/tex]
[tex]\\ \sf\longmapsto 2(1)[/tex]
[tex]\\ \sf\longmapsto 1[/tex]
Step-by-step explanation:
[tex] \tt \lim \limits_{x \to1} \frac{ {x}^{2} - 1 }{x - 1} = ...[/tex]
[tex] = \tt \lim \limits_{x \to1} \frac{(x + 1) \cancel{(x - 1)}}{ \cancel{(x - 1)}} [/tex]
[tex] = \tt \lim \limits_{x \to1}(x + 1)[/tex]
[tex] = \tt1 + 1[/tex]
[tex] = \boxed{ \bold{ \blue{ \underline2}}}[/tex]
A club with 26 members is to select five officers (president, vice president, secretary, treasurer, and historian). In how many ways can this be done?
Answer:
9,687,600
Step-by-step explanation:
27P5
= 27!/(27-5)!
= 27!/22!
= 27*26*25*24*23
= 9,687,600
Of 90 gallons of water the average person uses each day, 30% is used outdoors. Mason wants to know how much water is used outdoors. How much water is used outdoors.
Answer:
The Awnser is 27 for both I did that I-ready before
Step-by-step explanation:
Answer:
27 for both blanks
Step-by-step explanation:
I just did it on iready and I got it correct
HELP ME OUT PLEASE
Use the data to create a scatter plot.
Answer: i dont know if this will be correct but, the 2 goes on the bottom count 5 up so you will get the first one done, bottom 3 and count up 8, bottom 4 and count up to 13, its the same for all of them.
Step-by-step explanation:
Write the equation of the line parallel to the line and passing through the point.
y=x+5, (8, 1)
Answer:
y=2x+9
Step-by-step explanation:
I got y-2x+9 because if you add 8-1 that equals 7 and if u do 7-5 that equals 2 so y2x and then 7 Plus 2 equals 9 so it all adds up to Y=2x+9?.
can somebody help me plssssss
Answer:
They are equal, so =
Step-by-step explanation:
We know that one-half is .50. 3/2 is an improper fraction and when we solve to a decimal, we get 1.5.
find the value of the angles marked 'x' and 'y'
Answer:
x=120 y=60
Step-by-step explanation:
Interior angle of a hexagon = 120
Straight line = 180
180-120=60
how many prime numbers are multiples of 8
There are no prime numbers are multiples of 8. All the multiples of 8 are divided by 2.
What is a prime number?Prime numbers are whole numbers larger than one with only one element the number itself. Prime numbers can only be divided by the number 1 or by themselves.
All the terms that come in the table of 8 are multiples of 8.
8, 16, 24, 32, 40, 48, 56, 64, 72, and 80 are the multiples of 8. There are no prime numbers are multiples of 8.
Hence there is no prime numbers multiples of 8.
To learn more about the prime number refer to the link;
https://brainly.com/question/9315685
Select the geometric figure that correctly matches with the following formula:
A=[tex]\pi r^{2}[/tex]
Answer:
Circle
Step-by-step explanation:
The area of a circle is
[tex]\pi r^{2}[/tex]
A. circle
The area of a circle is 2[tex]\pi[/tex]r²
What is the formula for the circle?The Circle Formulas are expressed as,
the Diameter of a Circle. D = 2 × r. Circumference of a Circle. C = 2 × [tex]\pi[/tex] × r.Area of a Circle A = 2[tex]\pi[/tex]r²The collection of all points equidistant from a fixed point in a plane is called a circle.
the circle is a closed 2-dimensional figure in which the set of all the points in the plane is equidistant from a given point called the “center”. Every line that passes through the circle forms the line of reflection symmetry.
Learn more about Area of a Circle here
https://brainly.com/question/402655
#SPJ2