Answer:
Step-by-step explanation:
List the facts phrase by phrase.
Total = 15 hours
Let Raul's hours = x
Let Jamie's hours = y
Total = x + y = 15
x = 3 + 2y
From total, find x
x+ y = 15 Subtract y from both sides.
x = 15 - y Put the value for x in x = 3+ 2y
3 + 2y = 15 - y Subtract 3 from both sides
2y = 15 - 3-y Combine
2y = 12 - y Add y to both sides.
2y + y = 12 Combine
3y = 12
y = 12 / 3
y = 4
Jamie worked 4 hours
Raul worked 11
1 Analyze Alana used the table of values to find the slope of the graph for this function.
Analyze her work and explain why you do or don't agree with her.
x
х
N
4.
6
00
у
4.
5
6
7
m= 6-2 - or2
=
Step-by-step explanation:
From the table of values, it is clear that Alana chose the points (2,4) and (6,6). She also used this formula to find the slope:⤵⤵⤵
(sorry if it's a bit small btw)
[tex] \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]
She plugged in her values like so:
[tex] \frac{6 - 2}{6 - 4} [/tex]
But, right away we can tell that she put the values in the wrong places, because the y-values are supposed to be on top while the x-values are supposed to be on the bottom. Yet in this case, you can see that the 2 is an x-value, meaning she put it on the top, and thus the slope is wrong.
The correct way would be if she switched them around, where the y-values are on top and the x-values are on the bottom. With this in mind, the slope would actually be 2/4 which if you simplify it, it would be 1/2.
This is essentially your answer, feel free to use some of my words, if need.
Hope this helps :)
5, k+3, 2k+1 ,3k-2, 26 and 31 are in ascending order. if the median is 17. find the value of k.
Answer:
k = 7
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order.
If there is no exact middle value then the median is the average of the 2 values either side of the middle.
5 , k + 3 , 2k + 1 , 3k - 2 , 26 , 31
↑ middle
Then
[tex]\frac{2k+1+3k-2}{2}[/tex] = 17 ( multiply both sides by 2 to clear the fraction )
5k - 1 = 34 ( add 1 to both sides )
5k = 35 ( divide both sides by 5 )
k = 7
The value of k is 7 if 5, k+3, 2k+1,3k-2, 26, and 31 are in ascending order and the median of the data set is 17.
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
We have:
5, k+3, 2k+1 ,3k-2, 26 and 31 are in ascending order
The median of the data set is 17.
The mid-terms are 2k+1 ,3k-2
(2k + 1 + 3k - 2)/2 = 17
5k -1 = 34
5k = 34 + 1
5k = 35
k = 35/5
k = 7
Thus, the value of k is 7 if 5, k+3, 2k+1,3k-2, 26, and 31 are in ascending order and the median of the data set is 17.
Learn more about the median here:
brainly.com/question/21396105
#SPJ5
3n + 75 = 50 + 2n what does the n equalin the equation
Answer:
n= -25
Step-by-step explanation:
Answer:
-25
Step-by-step explanation:
Move 2n to the other side to subtract it 3n-2n=n and move 75 to the other side to balance the equation 50-75=-25 so n=-25
is every rhombus a rectangle
Answer:
No
Step-by-step explanation:
Some rhombus doesn’t have all 90 degrees angles and that is an requirement for rectangles.
Will give BRAINLIEST if right!
Which shows a dilation of y = x?
A.
y = x + 5
B.
y = x - 5
C.
y = -x
D.
y = 5x
A box contains 6 black pens, 4 blue pens, and 7 red pens. Without looking, Clarissa randomly picks a black pen out of the box. If she chooses another pen out of the box without replacing the first one, what is the probability that she will pick a black pen both times? Write your answer as a percent.
Group of answer choices
Answer:
31.35%
Step-by-step explanation:
Initial reading:In the box, there are:
6 Black pens4 blue pens7 red pensTotal number of pens in the box = 6 + 4 + 7
= 17
If we count pens as outcomes the total number of possible outcomes are 17.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
New reading:Clarissa takes out a black pen from the box.
That reduces the number of black pens by 1 which increases the total number of pens by 1 as well.
So now:
Number of black pens = 6 - 1 = 5 Total number of pens = 17 - 1 = 16- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Probability:[tex] \boxed{ \mathsf{probability = \frac{favorable \: outcomes}{total \: outcomes} }}[/tex]
If we want her to pick up a black pen, and she ends up picking one. So, we can say that the outcome is in our favor.
That makes it,
the number of favorable outcomes = number of black pens= 5
and total outcomes = Total number of pens= 16
[tex] \implies\mathsf{probability = \frac{5}{16} }[/tex]
For showing it as some percent we'll just multiply the fraction by 100
[tex] \implies \mathsf{ \frac{5}{16} \times 100 }[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
As a percent:[tex] \implies \mathsf{ \underline{ 31.25 \: \% } }[/tex]
Sam buys one bag of flour for $2.50, three packages of shredded cheese for $3.00 each, and n. packages of mushrooms for $3.50 each. If Sam paid $18.50 in all, how many packages of mushrooms did Sam buy?
Answer:
16.50
Step-by-step explanation:
2.50 + 3(3) + 2(3.50) = 2.50 + 9 + 5 = 16.50
Answer:
2
Step-by-step explanation:
One thing on flour costs $2.50
Three things of shredded cheese costs $9.00
$9.00 + $2.50=11.50
$18.50-11.50=$7.00
$7.00/$3.50=(2)
Is the equations true.false.or open? x+3=5
Answer:
true
Step-by-step explanation:
i just plugged in 2 for x. 40% chance im right lol
Answer:
true
Step-by-step explanation:
8. The temperature on Monday was -5.4 degrees
Celsius. The temperature on Tuesday was 2.6
degrees less than the temperature on Monday.
What was the temperature on Tuesday?
Answer: -4.1 degrees celsius
Step-by-step explanation:
Start at -1.5 on the number line. Then move 2.6 units to the left to arrive at -4.1
Or you can compute -1.5 - 2.6 = -4.1 to get the same result. When we subtract a number from a negative, you are effectively adding the two values and making the final result negative. So, 1.5+2.6 = 4.1 which turns into -4.1
how much better is Alex's money situation than if Amy's balance is $-28 and Alex's is $45?
Answer: Alex has $77 more than Amy
Explanation:
Draw a vertical number line. Plot -28 and 45 on this number line. Also, plot the number 0. Note the distance from -28 to 0 is 28 units. Then from 0 to 45 is another 45 units.
Overall, the distance is 28+45 = 77 units. This is the distance between the points -28 and 45 on the number line. It indicates Alex has $77 more compared to Amy. Effectively, Amy has $0 right now, but she's in debt $28. If we ignored the debt temporarily, then Alex has $45 more compared to Amy's balance of $0. Then we tack on the debt of 28 to bump to $77.
Another way to see this is to consider that Amy somehow gets $28. That 28 dollars is then immediately paid back to bring the balance back to $0. Then we'll tack on the $45 to get to 45+28 = 77.
Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2. 5), (3, 6. 25). What value, written as a decimal, should Lena use as the common ratio? 1. 0 1. 5 2. 5 2. 0.
Answer:
r = 2.5
Step-by-step explanation:
Consider the y- coordinates of the plotted points
1 , 2.5 , 6.25
The common ratio r is calculated as
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{2.5}{1}[/tex] = [tex]\frac{6.25}{2.5}[/tex] = 2.5
Just a very quick question for any people willing to answer this question.
4 less than the number n is -15.
(Please type equation and solution!)
Answer:
n=-11
Step-by-step explanation:
n-4=-15
n-4+4=-15+4
n=-11
Can someone help me with this? I was wrong and cant figure it out
Answer:
A. 21.
Step-by-step explanation:
4x + 2 = 31 + 55 (external angle of a triangle theorem).
4x + 2 = 86
4x = 86 - 2
4x = 84
x = 84/4 = 21.
Can some one help me solve this
Hello mashiamcphee141!
Let's solve for x in the given question.
[tex]\sf\:\frac { x + 3 } { 2 } + \frac { 2 x } { 7 } = 7\\\sf\:7\left(x+3\right)+2\times 2x=98 \\\sf\:7x+21+2\times 2x=98 \\\sf\:11x+21=98 \\\sf\:11x=98-21 \\\sf\:11x=77 \\\sf\:x=\frac{77}{11} \\\boxed{\sf\:x=7 }[/tex]
Steps :-
At first, multiply both sides of the equation by the LCM = 14.Now, simplify the equation using distributive property & other operations. We'll get the value of 'x' as 7.See the attachment if the working is not clear.
____________
[tex]\mathfrak{Lucazz}[/tex]
Given that:
[{(x+3)/2} + (2x/7)] = 7
Take the LCM of 2 and 7 is 14.
⇛[{7(x+3)+2(2x)}/14] = 7
⇛[{7x+21 + 4x}/14] = 7
⇛[{11x+21}/14] = 7/1
Now,
By using cross multiplication method,we get
⇛1(11x+21) = 7(14)
⇛11x + 21 = 58
⇛11x = 58-21
⇛11x = 37
∴ x = 37/11
Hence, the value of x will be 37/11 respectively.
also read similar Questions:- 2(x+1)+3=7 how do I solve this? Is this correct? 2(x+1)+3=7 2x + 2 +3=7 2x+2 +3=7 2x+5=7 -5 7 2x= 2 2 2 x=1...
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Solve the equation- [tex] \frac{5}{x - 3} - \frac{4}{x + 4} = \frac{1}{x} [/tex] He…
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We have a right triangle $\triangle ABC$ where the legs $AB$ and $BC$ have lengths $6$ and $3\sqrt{3},$ respectively. Medians $AM$ and $CN$ meet at point $P.$ What is the length of $CP$
By using Pythagoras theorem and distance formula the length of CP is obtained as 3.43 units.
What is Pythagoras Theorem?
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
To find the length of CP, first find the coordinates of point P, and then use the distance formula to calculate the length of CP.
Let A be at the origin (0, 0), and let B be on the positive x-axis at (6, 0). Then we can find the coordinates of C using the Pythagorean theorem -
AC² + BC² = AB²
AC² + (3√3)² = 6²
AC² = 9
AC = 3
So C is located at (3, 3√3). We can find the coordinates of M by taking the average of the coordinates of A and B, which gives -
M = ((0+6)/2, (0+0)/2) = (3, 0)
Similarly, find the coordinates of N by taking the average of the coordinates of B and C, which gives -
N = ((6+3)/2, (0+3√3)/2) = (4.5, 1.5√3)
Now find the equation of the line passing through M and C, which is the line containing median AM -
slope = (3√3 - 0)/(3 - 0) = √3
y - 0 = √3(x - 3)
y = √3x - 3√3
And find the equation of the line passing through N and A, which is the line containing median CN -
slope = (0 - 3√3)/(0 - 6) = √3/2
y - 0 = (√3/2)(x - 6)
y = (√3/2)x - 3√3
Now, find the intersection point of these two lines, which is point P -
√3x - 3√3 = (√3/2)x - 3√3
x = 6/3.5
x = 12/7
y = √3(12/7) - 3√3
y = 3√3/7
So P is located at (12/7, 3√3/7).
Now use the distance formula to find the length of CP:
CP² = (12/7 - 3)^2 + (3√3/7 - 3√3)²
CP² = (33/7)^2 + (6√3/7)^2
CP² = 1089/49 + 72/49
CP² = 1161/49
CP = √1161/7
Therefore, the length of CP is (approximately) 3.43.
To learn more about Pythagoras Theorem from the given link
https://brainly.com/question/21970437
#SPJ1
Show that dividing a number by 5 1/2 gives the same answer as multiplying the number by 2/11 plz help!!!
Answer:
plz explain so i can help am i mutiplying the 2 numbers or...?
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
[tex]\frac{x}{5 \frac{1}{2} } \\\\ \frac{11}{11/2} \\\\11. \frac{2}{11}\\\\=2[/tex]
also,
[tex]x . \frac{2}{11} \\\\11 .\frac{2}{11} [x=11]\\\\=2\\[/tex]
∆ABC has the vertices A(0,0) B(3,3) C(-3,3). Classify the triangle by its sides. Then determine whether it is a right triangle.
I need help with these 3 questions. No links, please.
Answer:
Q9: C.
Since each smaller line counts as 1/5, you can simply start from the point 1 and count 3 times to reach D.
[tex]3*\frac{1}{5} =\frac{3}{5}[/tex]
Since you started at 1, you can add [tex]1+\frac{3}{5} =1\frac{3}{5}[/tex]
Q10: B
We can subtract/ignore 3 from all of them to make things simpler.
Now, we need to find the lowest value to greatest from:
[tex]\frac{5}{8}, \frac{7}{16} ,\frac{1}{2}[/tex]
In order to compare these, we make the denominators the same (in this case: 16)
[tex]\frac{5}{8} =\frac{5*2}{8*2} =\frac{10}{16}[/tex]
[tex]\frac{7}{16} =\frac{7}{16}[/tex]
[tex]\frac{1}{2} =\frac{1*8}{2*8} =\frac{8}{16}[/tex]
Since 7 is the smallest value, followed by 8 and lastly 10,
the smallest to greatest in order would be
[tex]\frac{7}{16} ,\frac{1}{2} ,\frac{5}{8}[/tex] (B)
11: C
If you look at both [tex]\frac{2}{4}[/tex] and [tex]\frac{5}{8}[/tex], they are not directly above one another. Hence, they are not equal.
Ryan earned $2400 a month. He recieved a raise, which increased his monthly pay to $2700. Did Ryan's pay increase or decrease? By how much?
Answer:
Ryan's pay increased by $300.
Step-by-step explanation:
Answer:
His pay increased by $300
Step-by-step explanation:
2,700-2,400
=300
Is that the right answe plzzz help me
Answer:
Your answer is All of the Above.
Hope this helps!
Step-by-step explanation:
OA is the radius
OC is the radius
and OB is the radius
( They are all half length of the circle )
15 Brian spends 1 hours carving the parts for a model airplane. He
spends 3 times as long
assembling and painting the model. How
many hours does Brian spend carving, assembling, and painting
the model? Explain how you found your answer.
Publishing Company. Image
Answer:
4 hours
Step-by-step explanation:
1 hour x 3 = 3 hours
So Brian spent 3 hours assembling and painting the plane
However the question asks for the total time, so we would do:
1 hour + 3 hours to get 4 hours
So in total, Brian spent 4 hours carving, assembling and painting the plane
Hope this makes sense.
Erin buys 2 packs of potatoes costing £2 each, 3 packs of carrots for £3 per pack, and 3 turnips costing 60p each.
If she pays with a £20 note, how much change would she get in pounds, £
Answer:
£5.20
Step-by-step explanation:
The change is the difference between the amount tendered and the amount owed. The total amount owed is the sum of the costs for each of the items purchased.
change = £20 - 2(£2) - 3(£3) -3(£0.60) = £20 -14.80 = £5.20
Erin gets £5.20 in change.
Helppppp I neeeed it!!!!!!
Can you help me I can’T play in my game Sunday if I don’t pass
Answer:
Option D is the correct answer. The last one.
Hope it helps you...
Please mark as brainlliest!!!
A toy store had 876 games. It sold 25 of these games. How many games are at the store now?
Answer:
it now has 851 games left
Step-by-step explanation:
can someone help me please
Answer:
3: 55 degrees
4: 128 degrees
Step-by-step explanation:
A straight line is 180 degrees and so you do 180-125 to get 55 degrees
180-58 is 128 degrees
Find the 13th term of the arithmetic sequence – 3x – 5, 4x – 12, 11. – 19,.
Answer:
13 = 81 x - 89
Step-by-step explanation:
Answer:
81x-79
Step-by-step explanation:
I'm going to assume that the last expression is 11x-19 instead of 11.-19. First things first, we find a pattern in this arithmetic sequence. We can see that each expression adds 7x-7 to get the next term. We then can create a formula for this. Since the first expression is -3x-5, and it repeadetly adds 7x-7, we can get (-3x-5)+(7x-7). But we're not done here yet.
We can notice that the first term doesn't add any 7x-7 to it. The second term adds 1 of the (7x-7)'s, and the third term adds 2. The relationship between the term number and the number of (7x-7)'s added to -3x-5 always subtracts one. I'm going to add t as #term to show that t-1 is the number of (7x-7)'s that are added to (-3x+5)So, we can add a (t-1) to this expression to get (-3x+5)+(7x-7)* (t-1). Now that we have the formula, we insert 13 as t into the equation and simplify.
=(-3x+5)+(7x-7)*12
=(-3x+5)+84x-84
=81x-79
Note that this is just my way of solving these types of things, but an alternative way is to keep adding 7x-7 to the sequence until you get to the 13th expression. That works too. Hope this helps! Good luck! (I'm not really sure if this answer is correct, but please let me know if it is wrong)
can anyone help me please anyone
Answer:
x=104
Step-by-step explanation:
In case you didn't know, "m || n" means that line "m" is parallel to line "n".
Line "t" crosses over lines "m" and "n". Since "m" and "n" are parallel, the angles of Line "t" are the same on either line. The angle measuring 104° is what's known as an exterior angle. In the image shown, B and G have the same measurement and so does A and H. Therefore, Angle "x" measure 104°.
The coordinates of which point are (–3, –6)?point Apoint Bpoint Cpoint D
The coordinates of which point are (–3, –6) is point B
What are coordinates?Coordinates are the position of a point in the coordinate plane.
From the graph, we have the following highlights
Point B is at x = -3, and y = -6
The above means that:
(x,y) = (-3,-6)
Hence, the coordinate of (-3,-6) is point B
Read more about coordinates at:
https://brainly.com/question/17206319
Answer:
its point b edge 2022
Step-by-step explanation:
Sam and Diane each open a savings account at the same time. Sam invests $4,500 in an account yielding
3.2% simple interest, and Diane invests $5,000 in an account yielding 6.2% simple interest. After twelve
years, who has the greater total of money, and how much greater is it?
Answer:
Step-by-step explanation: