Answer:
k = ¹¹⁄₁₅ Or 0.73333333333Explanation:
Find The Least Common Multiple Of 4 And 2: 4
Multiply By LCM (4)¹³⁄₄k · 4 + ½k = ¹¹⁄₄ · 4
Simplify
15k = 11
Divide Both Sides By 15
15k / 15 = 11 / 15
k = ¹¹⁄₁₅ Or 0.73333333333Please help I need this answer ASAP
Answer:
7 granola bars
Step-by-step explanation:
560 calories in 4 bars
560/4 = 140 per bar
980/140 = 7 bars
An urn contains three balls numbered 1, 2, 3. The experiment consists of drawing a ball at random, recording the number, and replacing the ball before the next ball is drawn. This is called sampling with replacement. What is the probability of drawing the same ball twice in two tries
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The computation is shown below:
The numbers of possible results at the time when we drawing in two tries is 9
i.e. shown below:
11, 12, 13, 21, 22, 23, 31, 32, 33
Now the probability is
[tex]p=\frac{\text{no. of favorable cases }}{\text{total no. of outcomes}}\\\\=\frac{3}{9}\\\\=\frac{1}{3}[/tex]
HELPPPPP
HELLPPP
I WILL MARK YOU BRILLLLLL
Answer:
Lower quartile = 65
Upper quartile = 95
Median = 80
Step-by-step explanation:
✔️Lower quartile = the value at the beginning of the edge of the rectangular box = 65
✔️Upper quartile = the value at the end of the edge of the rectangular box = 95
✔️Median = the value indicated by the vertical line that divides the box into two = 80
A telephone pole has a wire attached to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor point is 51 feet less than the height of the pole. If the wire is to be 24 feet longer than the height of the pole, what is the height of the pole?
Answer:
Height is 135 ft
Step-by-step explanation:
Notice that wire, pole, and ground form a right angle triangle, for which we name h = height of the pole one of the legs (the horizontal leg) is h - 51. The wire (which is the hypotenuse of the right angle triangle is: h + 24.
Then we can use the Pythagorean theorem to solve for the height (h):
h^2 + (h - 51)^2 = (h + 24)^2
h^2 + h^2 -102 h + 2601 = h^2 + 48 h + 576
grouping all terms on the left of the equal sign, we get:
h^2 -150 h + 2025 = 0
This gives two possible answers:
h = 135
and
h = 15
We opt for h = 135, because the other solution will render a negative leg for the triangle.
The cost of 1 pen and 4 pencils is $2.70. If each pen costs 5 times as much as each pencil, how much do 7 pens and 5 pencils cost?
Answer:
18.00
Step-by-step explanation:
0.45 x 5 = 2.25
2.25 x 7 = 15.75
2.25 + 15.75 = 18.00
Can someone help me please?
Answer:
C. (4, 15)
Step-by-step explanation:
The point (4, 15) is not on or within the feasible region.
I hope this helps.
Given the following sets:
A = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}
B = {3, 6, 9, 12, 15, 18}
C = {4, 8, 12, 16, 20}
Find:
n (A)
Answer:
n (A) = { 2,4,6,8,10,12,14,16,18,20}
n(A) = 10
I hope it helps
2) The bicycle shop charges $15 plus $6.50
per hour to rent a bike. How many hours
did Henry pay to rent the bike if he paid
the shop $327?
Answer:
48 hours
Step-by-step explanation:
Subtract 15 from 327
Divide result by 6.5
Factor the expression 26p + 8q - 10
Answer:
factor 2 out of 26p+8q-10 2
Step-by-step explanation:
2 (13+4p-5)
rewrite the equation y-3=1/2(x+4) in standard form
Answer:
2x−y=5
Step-by-step explanation:
Ill mark brainliest please answer!
Answer:
Step-by-step explanation:
You can change radicals to fractional exponents and vice versa. The 1/2 power means square root. The 1/3 power means the cubed root. etc etc
A:) [tex](81)^\frac{1}{2} =\sqrt{81} =9[/tex]
B:) [tex](125)^\frac{1}{3} =\sqrt[3]{125} =5[/tex]
C:) [tex](49)^\frac{3}{2}=\sqrt{(49)^3} =343[/tex]
D:) [tex](8)^\frac{5}{3}=\sqrt[3]{(8)^5}=32[/tex]
Need quickly please help!
=======================================================
Work Shown:
We use the intersecting chords theorem
(AH)*(HG) = (FH)*(HB)
(x-2)*(x+7) = (2x-1)*(4)
x*(x+7) - 2(x+7) = 4(2x-1)
x^2+7x - 2x - 14 = 8x - 4
x^2 + 7x - 2x - 14 - 8x + 4 = 0
x^2 - 3x - 10 = 0
(x - 5)(x + 2) = 0
x-5 = 0 or x+2 = 0
x = 5 or x = -2
If x = -2, then AH = x-2 = -2-2 = -4, but having a negative segment length is not possible. Lengths must be positive. So we ignore x = -2
If x = 5, then we find the following lengths
AH = x-2 = 5-2 = 3HG = x+7 = 5+7 = 12FH = 2x-1 = 2*5-1 = 9Then note how AH*HG = 3*12 = 36 while FH*HB = 9*4 = 36. This confirms that (AH)*(HG) = (FH)*(HB) is a true equation and confirms we have the correct x value.
A wealthy man just died and left his pet dogs the following estate: $20,000 per year for the next 11 years with the first cash flow today. At a discount rate of 4.2%, what is the doggy estate worth in today's dollars?
MNOP is a trapezoid with bases MN and OP. If MN = 25 and OP = 23, what is the length of the midsegment of MNOP?
Answer:
24
Step-by-step explanation:
you can get the answer from the attachment
The midsegment of a trapezoid divides the trapezoid into equal parts.
The length of the midsegment of MNOP is 24
The lengths of the base are given as:
[tex]\mathbf{MN = 25}[/tex]
[tex]\mathbf{OP = 23}[/tex]
Let the midsegment be x.
So, we have:
[tex]\mathbf{x=\frac{1}{2}(MN + OP)}[/tex]
Substitute values for MN and OP
[tex]\mathbf{x=\frac{1}{2}(25 + 23)}[/tex]
[tex]\mathbf{x=\frac{1}{2}(48)}[/tex]
[tex]\mathbf{x=24}[/tex]
Hence, the midsegment of MNOP is 24
Read more about midsegments of trapezoids at:
https://brainly.com/question/7511906
Select ALL of the following that would reflect the following triangle onto itself.
Answer:
Over x = 4
Step-by-step explanation:
In its current configuration, our triangle only has vertical symmetry - we can only flip it onto itself if it's over a verticle line. This immediately eliminates our two horizontal lines from the equation: y = 4 and the x axis.
That leaves us chosing between the y axis or the line x = 4. Now that we know the type of symmetry this triangle has (vertical), we need to figure out where to put the line of symmetry. The y axis won't do, since a reflection over that will move the triangle to the far left of the page. So it must be the line x = 4.
PLEASE HELP ME 20 POINTS + BRAINLIEST
3 times the sum of a number and 2
Answer:
is this actually a question
Step-by-step explanation:
Find the area of the shaded region?
3x + 1
3x + 1
What combination of transformations is shown below
2
translation, then rotation
translation, then reflection
rotation, then reflection
rotation, then translation
Answer:
rotation then translation
Step-by-step explanation:
I took it and I got it right
15. An irregular pentagon has side lengths of (x + 3), (2x - 4), (4x + 5),
(3x – 1), and x. Which simplified expression represents the pentagon's
perimeter?
A 11x - 3
B 24x + 60
C 11x + 3
D -9x + 3
Answer:
A. 11x-3
Step-by-step explanation:
perimeter=sum of all sides
=(x+3)+(2x-4)+(4x+5)+(3x-1)+(x)
= 11-3
Answer:
Step-by-step explanation:hry
If 2.22 moles of ammonia (NH3 ) decomposes according to the reaction shown, how many moles of hydrogen (H2 ) are formed? A. 1.11 moles of H2 B. 3.33 moles of H2 C. 6.66 moles of H2 D. 2.22 moles of H2
Answer:
C. 3.33 moles
Step-by-step explanation:
Ammonia decomposes
[tex]2NH_3\rightarrow N_2+3H_2[/tex]
We have to find the moles of hydrogen formed in 2.22 moles of ammonia.
From the reaction
2 moles of ammonia gives 3 moles of hydrogen
1 mole of ammonia produce hydrogen=3/2 moles
2.22 moles of ammonia produces hydrogen=[tex]\frac{3}{2}\times 2.22[/tex] moles
Number of moles of hydrogen formed by decomposition of 2.22 moles of ammonia
=[tex]\frac{6.66}{2}=3.33[/tex]moles
Hence, 3.33 moles of hydrogen are formed in 2.22 moles of ammonia.
Option C is true.
C. 3.33 moles
ax² + ax, a x2 + a²x
Answer:
ax(x+1)
ax(x+a)
Step-by-step explanation:
ax² + ax
= ax(x+1)
ax² + a²x
= ax(x+a)
hope it helps ☺️
After lunch, you see the bumper cars and want to ride them. Here’s what the sign says:
Bumper Cars:
6 minutes: 8 tickets
8 minutes:12 tickets
Which one gives you more time for your money?
Write an expression that is equivalent to 27e+24
ANSWER FOR 40 POINTS
Step-by-step explanation:
3(9e+8) is the correct answer of this qn
36
Which of the following points would fall on the line produced by the point-slope form equation y - 3 = 1/2(x - 7) when graphed?
(5, 4)
(9, 4)
(2, 9)
(4, 8)
Answer:
9,4
Step-by-step explanation:
If 3+a=4-b and 4+b=7+a, what is 3-a?
Step-by-step explanation:
3+a=4-b
4+b=7+a
a=1-b
4+b=7+1-b
2b=4
b=2
a=1-2= -1
3-a= 3- -1= 3+1=4
3-a=4
Answer:
The answer is 4.
Step-by-step explanation:
First, you have to form simultaneous equations :
[tex]3 + a = 4 - b[/tex]
[tex]a + b = 1 - - - (1)[/tex]
[tex]4 + b = 7 + a[/tex]
[tex]a - b = - 3 - - - (2)[/tex]
Next, you have to solve it :
[tex](1) - (2)[/tex]
[tex]a + b - (a - b) = 1 - ( - 3)[/tex]
[tex]2b = 4[/tex]
[tex]b = 2[/tex]
[tex]sub \: \: b \: = 2 \: \: into \: \: (1)[/tex]
[tex]a + 2 = 1[/tex]
[tex]a = 1 - 2[/tex]
[tex]a = - 1[/tex]
Lastly, you have to substitute a-value into the expression :
[tex]3 - a = 3 - ( - 1) = 4[/tex]
3.
On a coordinate plane, a line segment has P(6,2) and Q(3,8).
Point M lies on PQ and divides the segment so that the ratio
of PM:MQ is 3:2. What are the coordinates of point M?
A. (4.5, 5.0)
B. (5.6, 4.2)
C. (4.8, 4.4)
D. (4.2, 5.6)
Answer:
[tex]M(x,y) = (4.8,4.4)[/tex]
Step-by-step explanation:
Given
[tex]P(x_1,y_1) = (6,2)[/tex]
[tex]Q(x_2,y_2) = (3,8)[/tex]
[tex]m:n = PM:MQ = 3 : 2[/tex]
Required
Determine the coordinates of M
To solve this, we make use of the following partition formula:
[tex]M(x,y) = (\frac{nx_2+mx_1}{n+m},\frac{ny_2+my_1}{n+m})[/tex]
Substitute values for m, n, x's and y's
[tex]M(x,y) = (\frac{2*3+3*6}{2+3},\frac{2*8+3*2}{2+3})[/tex]
[tex]M(x,y) = (\frac{24}{5},\frac{22}{5})[/tex]
[tex]M(x,y) = (4.8,4.4)[/tex]
Option D is correct
what is 6 more than -3 in integers
Answer:
3
Step-by-step explanation:
-3 + 6 would be 3.
hope it helps!
A computer technician charges $60 for coming to your house plus $76 per hour for labor. If the total bill for repairs is $269, how long did the work take?
Answer:
[tex]2\frac{3}{4}[/tex] or 2.75, depending on what you need.
Step-by-step explanation:
Subtract $269 by the service fee ($60). This will be $209.Divide $209 by $76 to calculate hours. This will be 2.75.(optional) We know that 0.75 is [tex]\frac{3}{4}[/tex], so let's take 2.75 and convert it into [tex]2\frac{3}{4}[/tex]. This is your answer.Caleb is making lemonade and cookies for the school bake sale. He has 10 cups of
sugar. He needs two cups of sugar for lemonade. Each batch of cookies uses 11/2 cups
of sugar. What is the maximum number of cookie batches he can make?
Answer:
He can make only one batch of cookies.
Step-by-step explanation:
Just by mental math you can say he can make maximum one batch of cookies.
Total sugar = 10 cups
sugar used for lemonade = 2 cups
leftover sugar = 8 cups
For 1 batch of cookie sugar needed = 11/2
which means 5 and 1/2 cups
And he's just left with 8 cups of sugar after lemonade
8 - 5 1/2 = 2 1/2 which is not enough for 2nd batch
That means the maximum number of cookies batches is 1.
Another way to solve it by inequality:
2+Il/2 X < 10
11/2 X < 8
11X < 16
X < 1 6/11
So he can make only one batch of cookies.