The tortoise and the hare are having a race.In this tale,the tortoise moves 50 ft per hr while the hare moves at 250ft per hour. The tortoise takes 8hrs longer than the hare to finish.
a. Let t represent the unknown time in hours that it took the hare to complete the race,
Write an expression (not an equation!) representing the time it took the tortoise to finish
the race.
b. Write two equations that represent the race, one for the hare and one for the tortoise.
c. What is the distance of the race?
Answer:
Step-by-step explanation:
Nick Sarah and Gavin share sweets in the ratio 2.33 Nick gets 28 sweets how many did Gavin get
Answer:
42
Step-by-step explanation:
hope this helps!;)
An object that weighs 18 pounds on Mercury weighs approximately 60 pounds on Earth. A rock weighs 120 pounds on Mercury. What is the approximate weight of the rock, in pounds, on Earth
Answer: 400
Step-by-step explanation:
I'm not sure 400
(5+5) + (5 + 6) + (5 + 7) + (5 + 8) + .... + (5 + 14) + (5 + 15)
(11 times 10) + what number?
A, 15
B, 50
C, 55
D, 99
Answer:
C: 55
Step-by-step explanation:
Rearrange the bracketed terms to:
(10 + 0) + (10 + 1) + (10 + 2) + ... + (10 + 10)
There are 11 brackets so we have (11 * 10) + (0 + 1 + 2 + ... + 10) =
(11 * 10) + 55
50 points
Shanna received a small box from the mailman. What is a reasonable weight for the small box? A. 6 grams B. 6 pounds C. 16 millimeters D. 60 inches
Answer:
b is the answer brainliest please i need 1 more
Step-by-step explanation:
jayfeather friend me
Answer:
6 pounds
Step-by-step explanation:
6 grams is the weight of 2 paperclips, and 16 millimeters and 60 inches are used to measure volume, not weight.
hope it helps! :3
Which expression is equivalent to 2(3 - x) - 12 + 4x
1. 3x - 6
2. 3x - 7
3. 2x - 6
4. 2x - 7
A large rectangular movie screen in an IMAX theater has an area of 7,875 square feet. Find the dimensions of the screen if it is 30 feet longer than it is wide.
Answer:
Width=75
length=105
Step-by-step explanation:
Width=x
length=30+x
= 7875=x*30+x
x^2+30x-7875=0
x^2+105x-75x-7875=0
x(x+105)-75(x+105)=0
A recent survey of students at John Tukey High School revealed that
18% of the students are in favor of changing the dress code. If you ran-
domly select 15 students from this school, what is the probability that
at least three of these students are in favor of the proposal to change the
dress code?
Answer:
0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they are in favor, or they are not. Students are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
18% of the students are in favor of changing the dress code.
This means that [tex]p = 0.18[/tex]
You randomly select 15 students
This means that [tex]n = 15[/tex]
What is the probability that at least three of these students are in favor of the proposal to change the dress code?
This is
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{15,0}.(0.18)^{0}.(0.82)^{15} = 0.051[/tex]
[tex]P(X = 1) = C_{15,1}.(0.18)^{1}.(0.82)^{14} = 0.1678[/tex]
[tex]P(X = 2) = C_{15,2}.(0.18)^{2}.(0.82)^{13} = 0.2578[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.051 + 0.1678 + 0.2578 = 0.4766[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.4766 = 0.5234[/tex]
0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.
The membership fee at a sports club was $600 per year. Each year, the membership fee increased by 7%.
Which equation models the cost of the membership fee, y, after 2 years?
Answer:
600(1.07)^2=y
Step-by-step explanation:
What is the solution of 3sqrtx+8=-4
Answer:
No solution
Step-by-step explanation:
Please write this as 3 sqrt x + 8 = -4.
Note that if we try to isolate 3 sqrt x by subtracting 8 from both sides, we get 3 sqrt x = -12. There is no real solution; sqrt x can never be negative.
zach read a book10 min every weekend for the first month 20min in 2nd month 40 min in third month and 80 min in 4th month
victoria read a book 35 everyweekend for first month 50 min second month 65 min third month 80 min 4 the month which method is used linear or exponential
Answer:
Zach time of reading every weekend forms a sequence with these terms: 10, 20, 40, 80. On the other hand, that of Victoria forms a sequence with terms: 35, 50, 65, 80. By keenly observing the sequences, Zach's sequence is a geometric sequence with a common ratio equal to 2 and Victoria's sequence is an arithmetic or linear sequence with a common difference of 15. Thus, the answer is letter B.
Step-by-step explanation:
the graph of y=f(x) is shown on the grid
Answer:
Equation for M → g(x) = [tex]\frac{5}{4}x^{2} + 2[/tex]
Equation for N → h(x) = [tex]\frac{5}{4}(x+4)^2-1[/tex]
Step-by-step explanation:
Vertex of the graph of y = f(x) is (2, -1)
Therefore, equation of the function will be,
y = a(x - 2)² - 1
Since this graph passes through a point (0, 4),
4 = a(0 - 2)² - 1
4 = 4a - 1
a = [tex]\frac{5}{4}[/tex]
Hence, we get the equation of the function 'f' as,
f(x) = [tex]\frac{5}{4}x^{2} -1[/tex]
Now this graph has been shifted 3 unit up to get the new graph M
Equation for M will be,
g(x) = f(x) + 3
g(x) = [tex]\frac{5}{4}x^{2} - 1 + 3[/tex]
g(x) = [tex]\frac{5}{4}x^{2} + 2[/tex]
Further graph of function 'f' is shifted 4 units to the left then equation of the new function (N) will be,
h(x) = f(x + 4)
h(x) = [tex]\frac{5}{4}(x+4)^2-1[/tex]
E=mc squared m=3 c=6
Answer:
E = 108
Step-by-step explanation:
E = 3 * [tex]6^{2}[/tex]
= 108
Answer:
e=mc^2 if m=3 and c=6
e=3([tex]6^2[/tex])
e=3[tex](36)[/tex]
e=108
Step-by-step explanation:
hope this helps have a good rest of your day/afternoon :) ❤
Find the slope of the line that passes through(9,36) (93,-10)?
Answer:
[tex]m = -\frac{23}{42}[/tex]
Step-by-step explanation:
here is the equation for slope (m):
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
where:
y₂ = y-coordinate of 2nd point = -10
y₁ = y-coordinate of 1st point = 36
x₂ = x-coordinate of 2nd point = 93
x₁ = x-coordinate of 1st point = 9
plug values into equation:
[tex]m =\frac{-10-36}{93-9} \\\\m = \frac{-46}{84} \\[/tex]
reduce the fraction:
[tex]m = -\frac{23}{42}[/tex]
What type of transformation of △ABC results in △DEF ?
Answer:
reflection
Step-by-step explanation:
Answer:
Reflection
Step-by-step explanation:
As you can see, its the same shape, and the same size...but it looked mirrored. ABC has been reflected over the y-axis to make DEF.
It's not rotation, because the shape has not been rotated, if so it would have been in a different position
It's not translation, because the shape didn't stay in the same format (facing one side).
So it must be reflection
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Find the volume of the cylinder and cone, then add them together.
★ Volume of cylinder :-
V = πr²hHere,
r is radius h is heightWe have :
r = 2cm h = 7cmSubstituting the values :
> V = π (2 × 2) × 7
> V = 4π × 7
> V = 28π
★ Volume of cone :-
V = ⅓ π²hWe have :
r = 2cm h = 6 cmSubstituting the values :
> V = ⅓ × π × (2 × 2) × 6
> V = ⅓ × π × 4 × 6
> V = ⅓ × π × 24
> V = 8π
★ According to the question :-
Adding them together,
> Total Volume = 8π + 28π
> Total Volume = 36π
[tex]Total \: \: \: Volume = (88+176) {cm}^{2} \\ \\ = 264 {cm}^{2} .[/tex]
PLEASE HELP GEOMETRY
Answer:
Step-by-step explanation:
60 POINTS + BRAINLIEST
Answer:
C
Step-by-step explanation:
By tracing the figure, we see that we go around a semicricle twice and go in a straight path twice. So the perimeter of this figure consists of two semicircles and two line segments, hence the answer is C.
Answer:
why do the delete my answer
Select the correct answer.
What is the LCM of the numbers 3, 6, and 9?
A.
9
B.
18
C.
36
D.
54
Answer:
D
Because you have to find out what they could all equal up to
Answer:
d
Step-by-step explanation:
Probability of picking e
Answer:
The answer is B or 1/5/
Step-by-step explanation:
We know that it hold the letters A,B,C,D, and E. That makes it have 5 different letters in it. There is only one of each letter in the box too. This makes it have a 1/5 of a chance of picking the letter E.
The length of a rectangle is 11 centimeters less than six times its width. Its area is 21 square centimeters. Find the dimensions of the rectangle.
Answer:
The width is 3cm, and the length is 7cm.
Step-by-step explanation:
Let's call the length of the rectangle [tex]l[/tex], the width of the rectangle [tex]w[/tex], and the area of the rectangle [tex]A[/tex], and write down everything we know about them.
The length of the rectangle is 11 centimetres less than six times its width, so we know that [tex]l = 6w - 11[/tex].
We also know that [tex]A = 21[/tex]. But what exactly is the area of a rectangle? Well, it's the product of its length and width, i.e. [tex]A = l\times w[/tex].
Then we have two equations involving [tex]l[/tex] and [tex]w[/tex]:
[tex]l = 6w - 11[/tex], and [tex]l\times w = 21[/tex].
So how do we find [tex]l[/tex] and [tex]w[/tex]? Let's substitute our first equation into our second, like so:
[tex]l \times w = (6w - 11) \times w\\{}\hspace{0.8cm}= 6w^2 - 11w\\{}\hspace{0.8cm}= 21[/tex]
We can rearrange this new equation to get everything on the same side, so that we have a standard quadratic equation, like this:
[tex]6w^2 - 11w - 21 = 0[/tex].
We can use the quadratic formula for this. You should have seen this before:
[tex]w = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex],
where [tex]a,b,c[/tex] are the coefficients of our quadratic equation. Plugging the values in, we see
[tex]w = \frac{11\pm\sqrt{121+504}}{12}\\\\{}\hspace{0.25cm}=\frac{11\pm\sqrt{625}}{12}\\\\{}\hspace{0.25cm}=\frac{11\pm25}{12}[/tex].
With a little further cancellation, we can find our two possible values of [tex]w[/tex] are
[tex]w = \frac{36}{12} = 3[/tex] and [tex]w = \frac{-14}{12}[/tex].
Since [tex]w[/tex] is a width of a rectangle, it can't possibly be negative, and so it must be 3.
We can now plug in this value into our equation from earlier, namely [tex]l = 6w - 11[/tex]. We can see that
[tex]l = 6\times 3 - 11 = 18 - 11 = 7[/tex],
and so we get our answer, [tex]w = 3[/tex]cm, [tex]l = 7[/tex]cm.
We can prove that this is right by multiply 3 and 7 together, and seeing that we get 21, the area we expect.
♂️♂️♂️help me plz I dont no 1+1
Answer:
The answer is 2
Step-by-step explanation:
Since the number 1 plus 1 is 2
Y=2+ square root of x-8 solve for x
Answer:
Step-by-step explanation:
y = 2√(x-8)
y² = 4(x-8) = 4x-32
4x = y²+32
x = 0.25y² +8
If a watch costs $40 and you must pay 6.5 % sales tax, how much will the tax be?
Please give me the correct answer this is for a test and im on a time limit :(
Answer:
$2.60
Step-by-step explanation:
40 x 0.065 = $2.60
Answer:
the tax would be 2.60$
Step-by-step explanation:
6.5% of 40 is 2.6
(6.5 x .40=2.6)
find the value of n the equation 1/2(n+4)=6
Answer:
n = 8
Step-by-step explanation:
1/2(n + 4) = 6
1/2 of n + 2 = 6
6 - 2 = 4
4 × 2 = 8
1/2 of 8 + 2 = 6
4 + 2 = 6
n = 8
i need help with this
Answer:
A and C are true
Step-by-step explanation:
The scatter plot shows which type of correlation?
A. No correlation
B. Cant be determined
C. Negative correlation
D. Positive correlation
Answer:
negative correlation
Step-by-step explanation:
because it starts from the y axis
The equation that Passes through the points (-4,2) and (5,-3)
Answer:
m= -5/9
Step-by-step explanation:
m= y2-y1/ x2-x1
m= -3-2/ 5-(-4)
m= -3-2/ 5+4
m= -5/9
y= mx + b
(-4,2)
2= -5/9(-4) + b
2= 2.2+ b
-2.2 +2= b
-0.2= b
There are 15 students on the chess team. Seven of the students are in the fourth grade.
Which shows the fraction of the team that is in the fourth grade?
A.
4
5
B.
7
15
O
C
8
15
OD. 15
7
Answer:
7/15 (B)
Step-by-step explanation:
7 fourth graders out of 15 total = 7/15
5x-11=24
????????????
Answer:
x= 7
Step-by-step explanation:
5x-11=24
+11 +11
5x = 35 35/5 = 7 x=7
5(7) - 11 = 24
35 - 11 = 24
Answer:
x=7
Step-by-step explanation:
5x7= 35
35-11=24
5x7-11=24
hope this helps!!!