Answer:
[tex]\sqrt{100^2 + 420^2}[/tex]
[tex]\sqrt{100^2+420^2}=20\sqrt{466}\quad \left(\mathrm{Decimal:\quad }\:431.74066\dots \right)[/tex]
Step-by-step explanation:
what is the solution to this equation?
5x-4+3x=36
A. x=16
B. x=5
C. x=20
D. x=4
B. x = 5
tip : if in a rush just plug in the number and see if its true
8x - 4 = 36
x = 5
You and a friend decide to take a road trip. You drive an average speed of 70 mph and your friend drives an average of 75 mph. You want to drive at least 500 miles per day. You also plan to spend no more than 10 hours driving each day. Which of the following is a system of linear inequalities that represents this situation? Let x = number of hours you drive and let y represent the number of hours your friend will drive.
Given:
your speed = 70 mph
Your friend's speed = 75 mph
You want to drive at least 500 miles per day.
You also plan to spend no more than 10 hours driving each day.
To find:
The system of linear inequalities that represents this situation.
Solution:
Let x be the number of hours you drive and let y represents the number of hours your friend will drive.
You also plan to spend no more than 10 hours driving each day.
[tex]x+y\leq 10[/tex]
Your speed is 70 mph and your friend's speed is 75 mph. So, the distance covered in x and y hours are 70x miles and 75y miles respectively.
You want to drive at least 500 miles per day. So, the total distance must be greater than or equal to 500.
[tex]70x+75y\geq 500[/tex]
[tex]5(14x+15y)\geq 500[/tex]
Divide both sides by 5.
[tex]14x+15y\geq 100[/tex]
Therefore, the required system of inequalities has two inequalities [tex]x+y\leq 10[/tex] and [tex]14x+15y\geq 100[/tex].
i will brainliest
avoid spam
Express each of the following percentages as a fraction and simplify it.
(i) 25% (ii) 40% (iii) 16% (iv) 150%
(v) 120% (vi) 58% (vii) 32% (viii) 175%
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
[tex]\sf{25\%=\dfrac{25}{100}=\dfrac{1}{4} }[/tex] [tex]\sf{ 40\%=\dfrac{40}{100}=\dfrac{2}{5} }[/tex] [tex]\sf{16\%=\dfrac{16}{100}=\dfrac{4}{25} }[/tex][tex]\sf{150\%=\dfrac{150}{100}=\dfrac{3}{2} }[/tex][tex]\sf{120\%=\dfrac{120}{100}=\dfrac{6}{5} }[/tex][tex]\sf{58\%=\dfrac{58}{100}=\dfrac{29}{50} }[/tex][tex]\sf{32\%=\dfrac{32}{100}=\dfrac{8}{25} }[/tex][tex]\sf{175\%=\dfrac{175}{100}=\dfrac{7}{4} }[/tex][tex]\sf{ }[/tex]
[tex]\sf{ }[/tex]
[tex]\sf{ }[/tex]
[tex]\sf{ }[/tex]
[tex]\sf{ }[/tex]
[tex]\sf{ }[/tex]
[tex]\hookrightarrow\sf{ 25\% =\dfrac{25}{100}=\boxed{\bf \dfrac{1}{4} }} \\\hookrightarrow\sf{ 40\% =\dfrac{40}{100}=\boxed{\bf \dfrac{2}{5} }} \\\hookrightarrow \sf{16\%=\dfrac{16}{100}=\boxed{\bf\dfrac{4}{25}} } \\ \hookrightarrow\sf{150\%=\dfrac{150}{100}=\boxed{\bf\dfrac{3}{2} }} \\ \hookrightarrow\sf{120\%=\dfrac{120}{100}=\boxed{\bf\dfrac{6}{5} }} \\\hookrightarrow \sf{58\%=\dfrac{58}{100}=\boxed{\bf\dfrac{29}{50}} } \\\hookrightarrow \sf{32\%=\dfrac{32}{100}=\boxed{\bf\dfrac{8}{25} }} \\ \hookrightarrow\sf{175\%=\dfrac{175}{100}=\boxed{\bf\dfrac{7}{4}} } \\ [/tex]
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if
Needed.
Answer:
Step-by-step explanation:
how do i find upper and lower quartile
please help will give brainliest
Answer:
Step-by-step explanation:
Arrange the data set in ascending order. then find the median.
Data in ascending order:
2, 5 , 6 , 7 , 8 , 11 , 15
Median = 7
Lower quartile:
Then again find the median of the numbers from the first to the number before the median. This is the lower quartile.
2 , 5, 6
Median = 5 ----> this is the lower quartile.
Upper quartile:
Then again find the median of the numbers that comes after the median to the end of the data set. This is the upper quartile.
8 , 11 , 15
Median = 11 ------> is the upper quatile
Jack can build 1/5 of a shed in the same time Kyle build 5/8 of a shed. How much of a shed will jack have built when Kyle has finished building 1 shed.
Answer:
Step-by-step explanation:
If Kyle can get 5/8 of a shed built in x amount of time, he can get 62.5% done; if Jack can get 1/5 of the shed built in the same time, he can 20% of it done. As a ratio:
[tex]\frac{Kyle}{Jack}:\frac{62.5}{20}[/tex] Kyle gets the whole thing done, 100% of the way, leaving Jack lagging behind at a somewhat lower percentage of the work being done.
[tex]\frac{Kyle}{Jack}:\frac{62.5}{20}=\frac{100}{x}[/tex] and cross multiply to solve for the percentage of the shed built by Jack by the time Kyle gets it completed:
62.5x = 2000 so
x = 32%
When Kyle will complete the work the amount of the work done by Jack will be 32%.
What is an expression?Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
If Kyle can get 5/8 of a shed built in x amount of time, he can get 62.5% done; if Jack can get 1/5 of the shed built in the same time, he can 20% of it done. As a ratio:
Jack falls behind Kyle, completing only a small portion of the work, while Kyle completes the entire task and cross multiplies to solve for the percentage of the shed built by Jack by the time Kyle gets it completed:
Kyle / Jack ÷ 62.5 / 20 = 100 / x
62.5x = 2000 so
x = 32%
Therefore, when Kyle will complete the work the amount of the work done by Jack will be 32%.
To know more about an expression follow
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Car A covers 100 miles in 120 minutes, while car B covers 300 miles in 5 hours. How do car A and car B speeds compare (Hint: 60 minutes = 1 hour)
A. Car A is faster than car B.
B. Car B is faster than car A.
C. Car B is slower than car A.
D. Car A has the same speed as car B.
Answer:
option D. Car A has the same speed as car B.
What are the coordinates of the midpoint between the points (-4, -9) and (-8, -5)?
Select the best answer from the choices provided.
A.
(-4, -4)
B.
(-6, -7)
C.
(-6, -4)
D.
(-4, -7)
Can someone please help, I'll give out 20 points !
Question - Where is the blue point on the number line?
Answer:
-6
Step-by-step explanation:
The number line is created by skip counting of 2.
So, -2 , then -4 and then -6.
So, blue dotted point is (-6)
Solve for x. = x/2 = -7
Answer:
x = -14
Step-by-step explanation:
x/2 = -7
~Multiply 2 to both sides
x = -14
Best of Luck!
A bag contains 10 marbles,7 of which are black and 3 are red.three marbles are drawn at one after the other.find the probability of choosing at most two black marbles.
==========================================================
Explanation:
We have these four cases or possible outcomes
Case 1) We select 0 black marbles and 3 red marbles.Case 2) We select 1 black marble and 2 red marbles.Case 3) We select 2 black marbles and 1 red marble.Case 4) We select 3 black marbles and 0 red marbles.Let's calculate the probability for case 4.
There are 7 black marbles out of 10 total. The probability of picking black is 7/10. If no replacement is made, then 6/9 is the probability of picking black again (subtract 1 from the numerator and denominator separately). Finally, 5/8 is the probability of getting black a third time.
The probability of getting 3 black marbles in a row is
(7/10)*(6/9)*(5/8) = (7*6*5)/(10*9*8) = 210/720 = 7/24.
That fraction 7/24 means that if you had 24 chances, then you expect about 7 of them will lead to getting three black marbles in a row (aka case 4). Therefore, 24-7 = 17 occurrences are expected where we get cases 1 through 3 occur in some fashion (pick one case only).
Notice how cases 1 through 3 encapsulate the phrasing "at most 2 black marbles" which is another way of saying "2 black marbles is the highest we can go".
So that's why the answer is 17/24.
Help Please Now!!!
Find The Volume Of This Cylinder
Answer:
V ≈ 4021 mm³
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cylinder Formula: V = πr²h
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify variables
r = 8 mm
h = 20 mm
Step 2: Find Volume
Substitute in variables [Volume of a Cylinder Formula]: V = π(8 mm)²(20 mm)Evaluate exponents: V = π(64 mm²)(20 mm)Multiply: V = 1280π mm³Round: V ≈ 4021 mm³
Expand the following:
a) 2(x+3)
b) 512x-4)
C) 4(2x + 1)
d) 6 x - 4y
Answer:
A.2x+6
B.60x-20
C.8x+4
D.6x-24y
The dimensions of a screen are 21 ft by 20 ft. Find the length of the diagonal .
Answer:
29 ft
Step-by-step explanation:
the screens have 90 degree angles so they form right triangles with the diagonal, so use Pythagorean theorem to solve for the diagonal
diagonal² = 21² +20² , square and square root both sides of the equation
diagonal = √441+400, add
diagonal = √841, square root
diagonal = 29ft
PLZZZ HELPPP, IF NOT 100% SURE PLZ DONT ANSWER…BRAINLIEST TO FIRST AND CORRECT ANSWER, THX TO SECOND AND CORRECT ANSWER
Answer:
2 batches
Step-by-step explanation:
We can divide 7 1/2 by 3 3/4 to get 2, so the factory made 2 batches of granola bars yesterday.
Y
8
6+
4+
2+
A++
-8 -6 -4
++
8
N
4
6
-4+
-6+
-8-
What is the equation of the line?
Answer:
guy this one is very hard oh I don't know it
Answer the questions
Answer:
c) x= 15
d) x= 5
Step-by-step explanation:
c)4x + 5+ 7x +10=180
solve it like usually
for d) 3x + 15+12x=90
Answer:
15 and 3
Step-by-step explanation:
the first figure total sum of angles is 180 since it is a straight line
the second figure is a right ane(90) so sum of angles is 90
Dan is on his way home in his car. He has driven 10 miles so far, which is one-half of the way home. What is the total length of his drive?
Answer:
20 miles
Step-by-step explanation:
10miles × 2 = 20miles
The formula for the circumference of a circle is C = 21
r, where r is the radius and C is the circumference. The
equation solved for r is raza
Find the radius of a circle that has a circumference of
16.
r= 4
r= 8
r = 12
r= 16
Answer:
r=8
Step-by-step explanation:
Help Now!!!
Find the surface area sphere
Answer:
Step-by-step explanation:
A=4πr2=4·π·1002≈1.25664×105
For a school project, 6 students are working on a skit that has 4 different roles. Each role can be played by anyone, and no student can play more than one role. How many different casts are possible?
Answer:
15
Step-by-step explanation:
[tex]=\frac{6!}{4!\left(6-4\right)!}[/tex]
Answer:
Maybe you can add roles, like managing, or narrating?
Step-by-step explanation:
Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?
1/9
9
-9
-1/9
Pls answer
Answer:
[tex]\boxed{\sf a = 9 }[/tex]
Step-by-step explanation:
Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,
[tex]\sf\longrightarrow 3x - 2y +7=0 [/tex]
[tex]\sf\longrightarrow 6x +ay -18 = 0 [/tex]
Step 1 : Convert the equations in slope intercept form of the line .
[tex]\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}[/tex]
and ,
[tex]\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a} [/tex]
Step 2: Find the slope of the lines :-
Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,
[tex]\sf\longrightarrow Slope_1 = \dfrac{3}{2} [/tex]
And the slope of the second line is ,
[tex]\sf\longrightarrow Slope_2 =\dfrac{-6}{a} [/tex]
Step 3: Multiply the slopes :-
[tex]\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1 [/tex]
Multiply ,
[tex]\sf\longrightarrow \dfrac{-9}{a}= -1[/tex]
Multiply both sides by a ,
[tex]\sf\longrightarrow (-1)a = -9 [/tex]
Divide both sides by -1 ,
[tex]\sf\longrightarrow \boxed{\blue{\sf a = 9 }} [/tex]
Hence the value of a is 9 .
the functions f and g are defined as follows
Answer:
f(- 3) = 27 and g(6) = - 15
Step-by-step explanation:
Substitute x = - 3 into f(x) and x = 6 into g(x) , that is
f(- 3) = - 2(- 3)² - 3(- 3) = - 2(9) + 9 = 18 + 9 = 27
g(6) = - 2(6) - 3 = - 12 - 3 = - 15
63.89 X n = .6389 Solve for n *
A. 10
B. 100
C. .01
D. .1
Answer:
c. .01
Step-by-step explanation:
.6389 divided by 63.89
Find the roots of the quadratic equation 3x^2 - 6x + 2 = 0 using the quadratic formula.
Answer:
Here is your answer
Hope it helps....
Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $6. On
Saturday, Rob earned $56 babysitting. How much money did he save?
If he earned $56, he saved sli
Answer:
Rob has saved $24.
Step-by-step explanation:
The first thing I noticed was that Rob only saved some of the money he earned. That means only x% only gets saved. To find x, I simply divided 6 by 14 and got 0.42857142857. Then to find the amount he saved from earning $56, I multiplied that number with 56 and got 24.
circle o has a center of (5,5) and radius 4 cicle p has center (3,-1) and raidus 5. Which describes how circle o cab be transformed to show that circle P is similar to circle o
Answer:
Translate circle O 2 units to the left and 6 units down. Then dilated circle o by a scale factor of 4/5.
Step-by-step explanation:
Objective: Using transformations that are similar and congruent.
Which of the following represents x = 1/3y written in general form?
3x - y = 0
X-1/3y=0
1/3x-y=0
Answer:
x-⅓y=0
Step-by-step explanation:
thats the answer
brainly please
Answer: 3x-y=0
Step-by-step explanation:
X = 1/3y
X × 3 = 1/3 y × 3
3x = y
3x - y = y- y
3x- y = 0
Which function represents g(x), a reflection of f(x) = }
(10)* across the x-axis?
O g(x) = - (10)*
O g(x) = -(0)
O g(x) = (10)
O g(x) = { (10)*
Answer:
[tex]g(x) = -(10)^x[/tex]
Step-by-step explanation:
For a general function f(x), a reflection across the x-axis is written as:
g(x) = -f(x)
So, if here the function is:
[tex]f(x) = 10^x[/tex]
The reflection across the x-axis is:
[tex]g(x) = -f(x) = -(10)^x[/tex]
The correct option is the first one, counting from the top.
what is the eqution of the line through the orgin and (-2,3)
Answer:
Origin = (0, 0)
Gradient or slope:
[tex]{ \tt{slope = \frac{(0 - 3)}{(0 - ( - 2))} }} \\ { \tt{slope = - \frac{3}{2} }}[/tex]
General equation of line:
[tex]{ \bf{y = mx + c}}[/tex]
Consider the origin:
[tex]{ \tt{0 = ( - \frac{3}{2} \times 0) + c }} \\ c = 0[/tex]
Equation of line:
[tex]{ \tt{y = - \frac{3}{2}x }} \\ { \tt{2y = - 3x}}[/tex]
Answer:
-2y+3x=0
Step-by-step explanation:
Slop=(3-0)/(-2-0)=-3/2
(Y-Y1) =m(x-x1)
(y-3) =-3/2(x+2)
-2y+3x=0
