Step-by-step explanation:
2 gallons are needed for 10 galloms of lemonade
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
Can you use the SSS Postulate to prove QPS≈QRS?
by SAS only
by SSS only
both apply
neither apply
Answer:
by SAS only
Step-by-step explanation:
based on the diagram we only have one side and one angle explicitly identified as equivalent.
but we have an implicit confirmation of the second side QS to the enclosed angle, because the triangles are presented that this side is the same for both triangles.
so, SAS applies (but no other, as we don't have any information on the 3rd side).
Graph the following equations by plotting 3 points and then connecting the points to form a line. Show your work to find the 3 points and then list the ordered pairs you used as part of your answer.
Answer:
The way I would tackle these types of problems would be to make a table, then graph the points using the results I get.
Step-by-step explanation:
So explaining the table is kinda hard since I suck at explaining, so I've attached a file showing the table I've made for number 1.
First Step:
Make the table. Make it a 3x4 table. For the top row, put y, the equation (I put 'y=2x' as shown in number 1), then x. Then for the left column, go down by one box, then put: -1, 0, 1. Really, you can put any numbers, but to make it easy for yourself, just write the numbers I've listed. These will be your y-values you'll be substituting.
Second Step:
a.) Plugging in the numbers. For the middle column, I've put down y=2x in each box, as shown in my table. Then for each of those boxes, plug in the numbers to the left of them and substitute them for the y-value. For example, look at the second row. The left box has '-1', so I replaced the 'y' in the equation and got '(-1)=2x'.
b.) After substituting the y-values, solve for x. For this case, you'll need to divide both sides by 2. If it doesn't make much sense, think about a seesaw. If you have 5 pounds on both sides, the seesaw will stay balanced. Add an additional 5 pounds to one side, then the seesaw will start tipping towards the heavier sides. So in order to keep an equation balanced, you must do any action to both sides of the equation. After diving both sides by 2, you'll get the value for x.
Final Step:
After finding the x-values for each of the y-values, it's time to graph the equations. Remember, x is left to right and y is down to up. To graph them, let's use the second row for example. y=-1 and x=-0.5. So all you need to do is to start from the origin (0,0), then go half a unit to the left, as x is negative, then go a unit down, as y is negative, then make a point. The rest should be pretty straight forward.
After making all three points, just get a ruler or any straight edge, then align it along those three points, then just make a line, and boom! You've solved number 1! For the purpose of saving my time, I'm pretty sure you can solve the rest using what I've just told you. Good luck!
Can someone help me with this math homework please!
Given:
The sequence is:
-3, 5, -7, 9, -11,...
To find:
The correct statement about the given sequence.
Solution:
We have,
-3, 5, -7, 9, -11,...
Here, "..." means there are more terms in the sequence. So, the sequence has more than 5 terms and option A is incorrect.
From the given sequence it is clear that the 4th term is 9. So, option B is correct.
Clearly, 5th terms is -11. So, [tex]f(5)=-11[/tex] and option C is incorrect.
The domain of a sequence is always the set of natural numbers. So, option D is correct.
In the given sequence the 4th term is 9. It means the point (4,9) lies on the graph of the sequence. So, option E is correct.
Therefore, the correct options are B, D, E.
What is the area of Figure ABCD? PLS HELP 50 POINTS PLSSSSSSSSSSSSSSSSSSSS
BEST ANSWER GET BRAINLY
Answer:
112 in^2
Step-by-step explanation:
First find the area of the rectangle
A = l*w = 14*7 =98
Then find the area of the triangle
A = 1/2 bh = 1/2 (18-14) *7 = 1/2 (4)*7 = 14
Add the areas together
98+14 =112
Hello!
[tex]\large\boxed{A = 112in^2}[/tex]
We can use the formula for the area of a trapezoid to solve:
A = 1/2(b1 + b2) · h
Thus:
A = 1/2(18 + 14) · 7
Simplify:
A = 1/2(32) · 7
A = 16 · 7
A = 112 in²
Use elimination to solve the system 4x + 7y = –14 and 8x + 5y = 8 for x. Round to the nearest tenth.
Answer:
X= 7/2
Step-by-step explanation:
Multiply first equation by -2 and second equation by 1
-2(4x+7y=-14)
1(8x+5y= 8)
= -8x -14y =28
8x+5y=8
Add these equations to eliminate X:
-9y=36
-9y/-9 = 36/-9
y=- 4
Plug in Y to find X
4x + 7y = -14
4x+7(-4) = -14
4x-28+28= -14+28
4x= 14
X= 7/2
Answered by Gauthmath
Answer: x=3 and 1/2
Step-by-step explanation: Happy to Help (0.<)
What is the product? StartFraction 3 k Over k + 1 EndFraction times StartFraction k squared minus 1 Over 3 k cubed EndFraction StartFraction k + 1 Over k squared EndFraction StartFraction k minus 1 Over k squared EndFraction StartFraction negative 1 Over k EndFraction StartFraction 1 Over k EndFraction
Answer:
StartFraction negative 1 Over k cubed EndFraction
Step-by-step explanation:
3k / (k + 1) × (k²- 1) / 3k³
= 3k(k² - 1) / (k + 1)(3k³)
= 3k³ - 3k / 3k⁴ + 3k³
= -3k / 3k⁴
= -1/k³
StartFraction k + 1 Over k squared EndFraction
(k + 1) / k²
StartFraction k minus 1 Over k squared EndFraction
(k - 1)/k²
StartFraction negative 1 Over k cubed EndFraction
= -1/k³
StartFraction 1 Over k EndFraction
= 1/k
Answer:
B: k - 1 / k^2
Step-by-step explanation:
