Answer:
A. -9, -6, 8, 13
B. -4/5, -1/2, -.2, .25
C. -8/3, -2 1/2, 9/2, 4.75
D. -8, -3, -1, 4
E. -1/2, -1/4, .5, 3/4
F. -3/2, -5/4, -4/5, 1.5
Step-by-step explanation:
The easiest thing to do is to put them all in the same format. Fractions are just division problems, so just divide. 4/5 is 4 divided by 5, which is .8.
Remember, the farther a negative number is from 0 on the number line, the smaller it is. So, -8 is smaller than -5. -5 is smaller than -2, etc.
Matteo buys a basil plant that is 22 cm tall and grows 1/2 a centimeter every day.
A. Write an equation that can be used to solve for the number of days until the plant has a height of 30 cm. Use d to represent the number of days. Label each part of your equation with what it represents.
B. How much does the plant still have to grow?
C. Solve for the value of d. What does this value represen in this problem?
PLEASE SOLVE ALL
A) The equation is 22 + (d * 1/2) = 30
B) The plant that still have to grow 8 cm more
C) d = 16 days, d represents the number of days
Step-by-step explanation:
Given:
Initial height (basil plant at buying) = 22cm
Plant grows on everyday = 1/2cm
A) Given:
Total height (to be grown) = 30 cm.
The equation is,
Initial height+ ( number of days * plant grows on everyday) = Total height
22 + (d * 1/2) = 30 → equation 1
B) The plant that still have to grow = Total height - Initial height
= 30 - 22
= 8 cm
C) Solving the value d using equation 1:
22 = 30 - (d * 1/2)
44 = 60 - d
d = 16 days
Hence, A) The equation is 22 + (d * 1/2) = 30.
B) The plant that still have to grow 8 cm more.
C) d = 16 days, d represents the number of days.
To know more about equations check the link below:
https://brainly.com/question/2076570
#SPJ13
When f(x) equals X -7/2, what is the value of (F•F^-1) (3)
The value of [tex]f.f^{-1}(x)[/tex] is 3 from the given function.
The given function is f(x)=x-7/2.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The inverse of the given function is
y=x-7/2
Replace y with x and x with y, we get
x=y-7/2
y=x+7/2
[tex]f^{-1}(x)[/tex]=x+7/2
When x=3
[tex]f^{-1}(3)=3+7/2[/tex]
=6.5
f(6.5)=6.5-7/2
=6.5-3.5
=3
Therefore, the value of [tex]f.f^{-1}(x)[/tex] is 3 from the given function.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ1
Mason is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Mason will earn $30 every time one of his songs is played in a commercial and he will earn $80 every time one of his songs is played in a movie. Mason earned a total of $470 in royalties on 9 commercials and movies. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Mason's songs were played. Define the variables that you use to write the system.
Answer:
Get the roundend answer to 10
Step-by-step explanation:
Evaluate 3 (2x - 1).
Answer:
6x - 3
Step-by-step explanation:
3 ( 2x - 1 )
= 3 ( 2x ) - 3 ( 1 )
= 6x - 3
Answer:
x=1/2 or 0.5 or just 6x-3
Step-by-step explanation:
3(2x-1)
distribute.
6x-3
get 6x alone
6x=3
divide
x=3/6
x=1/2 or 0.5
a yield sign measures 24 inches on each of its three sides. what is the area of the sign? (round your answer to one decimal place.)
A yield sign measures 24 inches on each of its three sides ( equilateral )then the area of the sign is 249.4
Given,
24 inches on each of its three side. (See in attached picture)
Consider ADB,
As it is an equilateral triangle, BD = BC/2 = 12 inches
By Pythagoras theorem,
AB^2 = BD^2 + AD^2
24^2 = 12^2 + AD^2
24^2 – 12^2 = AD^2
576-144 = AD^2
432= AD^2
20.78= AD
Area = ½ (base * height)
= ½ (24*20.78)
= 249.4
Learn more about Equilateral here
https://brainly.com/question/3461022
#SPJ4
Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks.
Sidney wants to take group fitness classes at a nearby gym, but needs to start by selecting a
membership plan. With the first membership plan, Sidney can pay $36 per month, plus $2 for
each group class she attends. Alternately, she can get the second membership plan and pay
$35 per month plus $3 per class. If Sidney attends a certain number of classes in a month,
the two membership plans end up costing the same total amount. How many classes per
month is that? What is that total amount?
If Sidney attends
Submit
classes per month, each membership plan costs $
The system of equation to describe the situation below is x= 1.
What is equation?
an equation is a formula that is to expresses the equality of two expressions, by the connecting them with in the equals sign.
The process of equting one thing with another is called the equation of science with objective.
Sol- Based on the given condition-
The formulate is- 36+2x=35+3x
Rearrange variables to the left side of the equation
2x-3x=35-36
Combine like terms
-x= 35-36
Calculate the sum or difference
-x=-1
Devide both side of the equation by the coefficient of variable we get
X=1
To know more about equation click-
https://brainly.com/question/2972832
#SPJ13
Jerald is having drain issues at his home and decides to call a plumber. The plumber charges $35 to come to his house and $60 for every hour they work. If the plumber charges Jerald a total of $305, how many hours did the plumber work?
Write and solve an equation to determine the number of hours worked by the plumber.
35x + 60 = 305; x = 7 hours
35x − 60 = 305; x = 10.4 hours
60x + 35 = 305; x = 4.5 hours
60x − 35 = 305; x = 5.7 hours
Answer:
60x + 35; x = 4.5 hours
(x is not actually equal to 4.5, it is equal to 4.67)
Step-by-step explanation:
The description says that the plumber charges a one time fee of 35 dollars to come to someones house, and then 60 dollars an hour. The total pay is 305 dollars. x will be the number of hours that the plumber works.
60x + 35 = 305
Subtract 35 from both sides: 60x = 280
Divide by 60: x = 280/60
Simplify: x=14/3
Fraction to decimal: x=4.67
Answer: C (60x + 35 = 305; x = 4.5 hours)
It's right trust me! Wish you luck!
Brainliest?
Compare the slope-intercept and point-slope forms of a linear equation.
It is possible to determine a line's direction and steepness by looking at its slope.
What is slope?Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.
A line's basic formula in gradient intercept form is y=mx + b. It is rewritable in point-slope form.
When y-b is equal to m(x-0), the location is the y-intercept (0,b).
The basic equation for a line with m=slope and (k,h) a position on the line is y-h=m(x-k).
By determining y and adding constant variables, the equation can be recast in slope-intercept form.
Y = mx-mk + h, where h-mk = b is the y-intercept in this form.
To know more about slope:
https://brainly.com/question/3605446
#SPJ1
What is the m
9.4
m
15.1
K
Step-by-step explanation:
imagine a circle with J being the center, and JK being the radius.
then
sin(J) = 15.1/JK
cos(J) = 9.4/JK
we have one trigonometric function, where we don't need to calculate JK first : tangent.
tan(J) = sin(J)/cos(J) = 15.1/JK / 9.4/JK = 15.1/9.4 =
= 1.606382978...
J = 58.09705252...° ≈ 58.1°
T
4) a) On the grid, draw
the line y = 3
b) On the grid, draw
the line x = -2
6
5
4
-3-
2
1-
-3 -2 -1 0
-1-
-2
1
2
3
4
5
Fe
Be
1.
2.
3
4
Answer:
Step-by-step explanation:
13. What is the length of the missing side, x?
40 in.
51°
35 in.
49 in.
74°
55°
X
For the given triangles the length of the missing side x is 56in.
As given in the question,
Two triangles are given ,
Let the triangle with measurement 40in. and 35in. be A and another is B.
In triangle A,
Let missing angle be α
Sum of all the angles in the interior of a triangle is equal to 180°
51°+ 74° + α = 180°
⇒α = 55°
In triangle B.
Let missing angle be β,
74° + 55° + β = 180°
⇒β= 51°
By AAA both the triangles are similar.
Length of corresponding sides are in proportion.
40: x = 35 : 49
⇒x = ( 40×49)/35
⇒x= 56in.
Therefore, for the given triangles the length of the missing side x=56in.
Learn more about length here
brainly.com/question/8552546
#SPJ1
if a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 17 feet, what angle does the ramp make with the ground? round to 2 decimal places.
The angle that the ramp makes with the ground rounded off to two decimal places is 10.48°.
What is trigonometry?
The study of the relationship between the sides and angles of the right-angle triangle is essentially the focus of the field of mathematics known as "trigonometry". Therefore, employing trigonometric formulas, functions, or trigonometric identities can be helpful in determining the missing or unknown angles or sides of a right triangle. Angles in trigonometry can be expressed as either degrees or radians.
Given, the length of the ramp = h = 17 feet
Height at which ramp is placed on truck = p = 4 feet
Let the angle that the ramp makes with the ground = ∅
Taking the length and height of ramp as basis, on assuming a right triangle with the length as hypotenuse and the height as perpendicular, we have:
sin ∅ = Perpendicular/Hypotenuse = h / p = 17/4 = 4.25
⇒ ∅ = sin⁻¹ (4.25) ⇒ ∅ = 10.48°
Thus, the angle that the ramp makes with the ground rounded off to two decimal places is 10.48°.
To learn more about trigonometry, tap on the link below:
https://brainly.com/question/13729598
#SPJ4
Find the equation of the vertical line that passes through point M(−2, 6)
The equation for the vertical line that goes through point M(−2, 6) is x = -2.
Answer:
The equation of a straight line is:
y = mx + b;
y, x are variables, m is the slope of the line and b is the y intercept.
The slope of a vertical is undefined. Since the line passes through the point M(−2, 6), hence the equation of the vertical line is:
x = -2
Show all your work!
First find the k= COP x
K=18-12=1.5
X=1.5(10)
Y=1.5 =
y
४/५
es, Show all your work!
y
of
y
First find the k= COP x
Answer:
Step-by-step explanation:
COP = Constant of Proportionality. • y varies directly to x. > If 10 miles varies directly to 5 minutes,. – then 10 = y and 5 = x. • Unit Rate (1, r). > (x, y).
WORD PROBLEMS INVOLVING SIMULTANEOUS EQUATIONS:
The cost of a bottle of water is Rsx.
The cost of a bottle ofjuice is Rsy.
The total cost of 9 bottles of water and 3 bottles of juice is Rs 153.
The total cost of 6 bottles of water and 5 bottles of juice is Rs 147.
Find the cost of a bottle of water and the cost of a bottle of juice.
Step-by-step explanation:
9x + 3y = 153
6x + 5y = 147
the first equation can be divided by 3 and then multiplied by 2. and from that we can subtract equation 2 :
9x + 3y = 153 | /3
3x + y = 51 | ×2
6x + 2y = 102
- 6x + 5y = 147
-----------------------
0 -3y = -45
3y = 45
y = 15
3x + y = 51
3x + 15 = 51
3x = 36
x = 12
1 bottle of water costs Rs 12.
1 bottle of juice costs Rs 15.
When the p-value is used for hypothesis testing, the null hypothesis is rejected if?.
If the p-value is less than or equal to the selected significance level, the null hypothesis is rejected; otherwise, it is not. In other words, if p, reject[tex]H_{0}[/tex]; if p>, do not reject [tex]H_{0}[/tex].
In null hypothesis testing, this criterion, also known as (alpha), is frequently set to 05. If there is less than a 5% chance that the null hypothesis would be accepted and a result as spectacular as the effects that result would occur, the null hypothesis is rejected. When this happens, the result is said to be statistically significant.
The null hypothesis would be rejected if a statistical test was conducted with a threshold of relevance = 0.1, 0.05, & 0.01.
If the P value is smaller than alpha, the preset level of statistical significance, the alternative hypothesis is considered instead of the null hypothesis.
Learn more about the null hypothesis at
https://brainly.com/question/16945299?referrer=searchResults
#SPJ4
Expand and Simplify (x+5)(x-2)
Answer:
[tex]x^2+3x-10[/tex]
Step-by-step explanation:
To expand you must do this:
[tex]x*x+(-2x)+(5x)-10\\x^2-2x+5x-10\\x^2+3x-10[/tex]
Expand & simplify: (7-3x)(2x-4)(x+1)
What amount of pure acid must be added to 400 mL of a 40% acid solution to produce a 60% acid solution?
Answer:
600ml
Step-by-step explanation:
will mark brainliest
Find the x-intercept and the y-intercept of the graph of the equation.
4x + 5y = 20
The x-intercept is
The y-intercept is
(Type an integer.)
(Type an integer.)
The x-intercept and y-intercept of the graph is (5,0) and (0,4)
How to find the intercept ?
When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation.
1. To find the x-intercept we put y=0
The equation becomes
4x + 5(0) = 20
4x = 20
x = [tex]\frac{20}{4}[/tex]
x = 5
∴ The x-intercept is (5,0)
2. To find the y-intercept we put x=0
The equation becomes
4(0) + 5y = 20
5y = 20
y = [tex]\frac{20}{5}[/tex]
y = 4
∴ The y-intercept is (0,4)
To learn more about finding the intercept from the given link
https://brainly.com/question/24990033
#SPJ1
Which equation show the relationship between the number of
hours, x, and the number of dogs groomed, y?
y = 15x
y = 5x
y = 30x
y=3x
The relation that can be formed by obersving the Cartesian Plane is y = 5x
What is Co-ordinate Geometry?
The study of geometry using coordinate points is known as coordinate geometry (or analytic geometry). It is possible to estimate the distance between two points, divide lines in a m:n ratio, identify the midpoint of a line, calculate the area of a triangle in the Cartesian plane, and so on using coordinate geometry.
Solution:
By analysing the given Cartesian Plane
it can be observed that the rate of change of y with respect to x
is 5 times
Therefore, the relation that can be formed by obersving the Cartesian Plane is y = 5x
To learn more about Co-ordinate Geometry from the given link
https://brainly.com/question/25042607
#SPJ1
the price of a car was increased by 4% to £22 what was the price before
13.80
Step-by-step explanation:
22 - 4% is your answer
which expression is equivalent to 2 over 5 x 2 over 28
answer:
look
step-by-step explanation:
over? you would have 2 ÷ (5 x 2) ÷ 28. in fraction form.
What are the terms of this algebraic equations 3+6ab+c? 3,6ab 6ab,c 3,6ab, and c
The terms of the algebraic equation 3+6ab+c are (d) 3, 6ab and c
How to determine the terms of the equation?The algebraic equation is given as
3 + 6ab + c
Consider an equation represented as
x + y
The terms of the equation are x and y
Also, for an equation represented as
x + y + z;
The terms are x, y and z
Using the above as a guide, the terms of 3 + 6ab + c are 3, 6ab and c
Read more about algebraic equation at
https://brainly.com/question/4344214
#SPJ1
A line is subdivided according to the golden ratio, with a smaller piece having a length of 5 meters. What is the length of the entire line?
The length of the entire line which is subdivided according to golden ratio is 13.09 meters.
What is Golden Ratio?
The golden ratio is a special number approximately equal to 1.618
We find the golden ratio when we divide a line into two parts so that, the whole length divided by the long part is also equal to the long part divided by the short part
Let smaller part of a line be b and long part be a
Golden ratio = a + b/a = a/b = 1.618
According to the given question:
Length of smaller part of line = 5 meters
Let the longer length of the line be x
∴ Total length of line = 5 + x
Using Golden ratio to find the entire length of line
x/5 = 1.618
x = 8.09
Calculating length of entire line = 5 + x = 5 + 8.09 = 13.09
∴ Length of entire line is 13.09 meters
To know more about Golden Ratio visit
https://brainly.com/question/27915841
#SPJ4
how many ways are there to put $4$ balls into $3$ boxes, given that the balls are not distinguished and neither are the boxes?
Answer:
Step-by-step explanation:
think that there are 15 ways ... call the boxes A, B, and C.
You could put all four b***s into either box A, or box B, or box C ---> 3 ways.
You could put three ball into one box and the other ball into another box:
-- 3 into A, 1 into B, 0 into C; or 3 into A, 0 into B, 1 into C; or 1 into A, 3 into B, 0 into C; or 1 into A, 0 into B, 3 into C; or 0 into A, 3 into B, 1 into C; or 0 into A, 1 into B, 3 into C ---> 6 ways
You could put two balls into one box and the other two balls into another box:
-- 2 into A, 2 into B, 0 into C; or 2 into A, 0 into B, 2 into C; or 0 into A, 2 into B, 2 into C ---> 3 ways.
You could put two b***s into one box and one ball into each of the other two boxes:
-- There are three boxes that could get the two b***s ---> 3 ways
Total: 3 + 6 + 3 + 3 = 15 ways.
What is x−16=−88? I don't know what it is
Answer:
x = -72
Step-by-step explanation:
So first you need to get x on its own, so you you need to get rid of -16 by adding +16 which you get 0.
so now x=-88
whatever you do on one side you do on the other, so add 16 to the other side (-88) so you get -72.
x = -72
so the answer is -72
Thank you <3
\frac{2x^3t^3}{xt^2}\:\cdot \frac{\left(3xt\right)^3}{9x^2t}
Answer:
[tex]6x^{3}t^{3}[/tex]
Step-by-step explanation:
Given expression:
[tex]\dfrac{2x^3t^3}{xt^2}\:\cdot \dfrac{\left(3xt\right)^3}{9x^2t}[/tex]
[tex]\textsf{Apply exponent rule} \quad (ab)^c=a^c \cdot b^c:[/tex]
[tex]\implies \dfrac{2x^3t^3}{xt^2}\:\cdot \dfrac{3^3x^3t^3}{9x^2t}[/tex]
[tex]\implies \dfrac{2x^3t^3}{xt^2}\:\cdot \dfrac{27x^3t^3}{9x^2t}[/tex]
[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{b} \cdot \dfrac{c}{d}=\dfrac{ac}{bd}:[/tex]
[tex]\implies \dfrac{2x^3t^327x^3t^3}{xt^29x^2t}[/tex]
Collect like terms:
[tex]\implies \dfrac{2 \cdot 27x^3x^3t^3t^3}{9x^2xt^2t}[/tex]
Multiply the numbers 2 and 27:
[tex]\implies \dfrac{54x^3x^3t^3t^3}{9x^2xt^2t}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]
[tex]\implies \dfrac{54x^{3+3}t^{3+3}}{9x^{2+1}t^{2+1}}[/tex]
[tex]\implies \dfrac{54x^6t^6}{9x^3t^3}[/tex]
Separate like terms:
[tex]\implies \dfrac{54}{9} \cdot \dfrac{x^6}{x^3}\cdot \dfrac{t^6}{t^3}[/tex]
Divide the numbers 54 and 9:
[tex]\implies 6 \cdot \dfrac{x^6}{x^3}\cdot \dfrac{t^6}{t^3}[/tex]
[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]
[tex]\implies 6 \cdot x^{6-3}\cdot t^{6-3}[/tex]
[tex]\implies 6 \cdot x^{3}\cdot t^{3}[/tex]
[tex]\implies 6x^{3}t^{3}[/tex]
The difference between five-halves of a number
and 17 is 48.
The required expression is: [tex]| 17 - \frac{5}{2}x|[/tex] = 48
What are algebraic expressions ?An algebraic expression (or) a variable expression is a aggregate of phrases through the operations together with addition, subtraction, multiplication, division, etc. For instance, allow us to have a study the expression 5x + 7. Thus, we will say that 5x + 7 is an instance of an algebraic expression.
CalculationWords can be expressed algebraically.
The algebraic expression is: [tex]| 17 - \frac{5}{2}x|[/tex] = 48
Let the number be x.
Five-halves of x is: 5/2x
So the difference between and 17 is:
5/2x - 17 = 48 or 17 - 5/2x = 48
Combine both expressions
[tex]| 17 - \frac{5}{2}x|[/tex] = 48
Hence, the required expression is: [tex]| 17 - \frac{5}{2}x|[/tex] = 48
learn more about algebraic expressions here :
brainly.com/question/19258044
#SPJ13
Please help with the unfilled spots! :)
The value of [tex](x_{1},y_{1})= (-9,-6)[/tex] and the value of [tex](x_{2},y_{2})= (-1,-12)[/tex],according to the question.
What do you mean by XY coordinates?
The x and y coordinates are a component of the x-axis and y-axis in a 2D space in the Cartesian coordinate system. The x and y coordinates for a point in space are expressed as an ordered pair (x, y). The position of the point on the x-axis is shown by the first number, while its location on the y-axis is indicated by the second number.
According to the data in the given question,
We have:
The coordinates of points A are (-9,-6).
The coordinates of points W are (-1,-12).
In this question,
[tex](x_{1},y_{1})= (-9,-6)[/tex]
[tex](x_{2},y_{2})= (-1,-12)[/tex]
Therefore, the value of [tex](x_{1},y_{1})= (-9,-6)[/tex] and the value of [tex](x_{2},y_{2})= (-1,-12)[/tex].
To learn more about x and y coordinates visit to the given link:
https://brainly.com/question/9675719?referrer=searchResults
#SPJ1