x>-6
1st step: 3(x-1)>-15------(3x-3)>-15
2nd step: subtract -3 from -15 which is -18
3rd step: 3x>-18------x>-6
Answer:
x > -4
Step-by-step explanation:
First, distribute the 3 among everything inside the parentheses to get 3x - 3 > -15.
Next, add 3 on both sides to get 3x > -12, then divide 3 on both sides to get x > -4.
Hope this helps :)
Also I love the kitty lol, but what's with the hair tie?
An ice skating arena charges an admission fee for each child plus a rental fee for each pair of ice skates. John paid the admission fees for his 6 nephews and rented five pairs of ice skates.
He was charged $32. Juanita paid admission fees for her seven grandchildren and rented 5 pairs of ice skates. She was charged $35.25. What is the admission fee?
What is the rental fee for a pair of skates?
Answer:
if we let admission fee per child to be a and the rental fee for the skates to be s.
Then john 6a + 5s =32
Juanita 7a + 5s = 35.25
Solving simultaneously we can eliminate s to solve for a first by subtracting one equation from the other.
6a + 5s = 32
7a + 5s = 35.25
we get -a + 0s = -3.25 therefore a= 3.25
Then we can solve for s by substituting a in either of the two equations
6 (3.25) + 5s =32
19.5 + 5s =32
5s = 12.5
s = 12.5/5
s = 2.5
Therefore, the admission fee: $ 3.25 per person and rental fee: $ 2.5 per pair of skates.
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
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.
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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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What is more important: to formulate a believable, testable hypothesis or to develop a good strategy to test the hypothesis accurately
Answer:
It's a matter of opinion. In my opinion you can hypothesize all you want, when you get to do it in practice it's almost 100% garantee of failure or incomplete hypothesis. So testing is way more important IMO.
Step-by-step explanation:
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.
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 :)
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.
1. Write the following statements in the from of equations.
a. One third of a number plus 7 is 26
Answer: The number is 57
Step-by-step explanation:
Lemme tell you , We dont know the number , so we imagine it as x
so the question says one third of a number , so 1 third is 1 divided by 3 and if we imagene the number as x , we can write x/3 .
So x/3 +7 = 26 , as the equation says one third of a number plus 7 is equal to 26.
So write the lcm of 3 and 7 and then cross multiply , and subtract . you get
x = 57 , and we imagined x as the number so if x is 57 , so the number we have to find is also 57 . Done Easy .
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 )
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
What is the result of adding these two equations?
5x - y = 6
-2x + y = 8
Answer:
3x = 14
Step-by-step explanation:
Given the two linear equations, 5x - y = 6 and -2x + y = 8:
We can add both equations the same way we add integers. The only difference is that we add the terms with the same variables.
5x - y = 6
+ -2x + y = 8
3x + 0y = 14 or 3x = 14
Therefore, the sum is 3x = 14.
solve for f
M-5N= f/t
Answer:
3.2
Step-by-step explanation:
Answer:
With the context you gave the awnser would be m≠5n
Step-by-step explanation:
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°.
Select the correct answer.
Which graph shows a function and its inverse?
Answer:
B
Step-by-step explanation:
If we consider a point on the line (x, y ) then the corresponding point on the inverse, the other line will be (y, x )
A function and its inverse are reflections in the line y = x
Consider the point (1, 5 ) on the red line, the corresponding point on the blue line will be (5, 1 )
This is the case in graph B
The graph showing a function and its inverse is the graph D.
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.
The graph of a function and its inverse are symmetric with respect with the line y = x.
On each graph you are given, plot the line y = x. If the two functions are symmetric with respect to the line y = x, then the graph does show a function and its inverse.
You will see this is true only for choice D.
Hence, the correct graph is D
Learn more about graphs, click;
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#SPJ7
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:
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.
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:
1. 24x - 18
-
A. 6(4x-3) B. 6
-
C. 4(6x - 4) D. 12x - 9
It’s a select all that apply question
[tex] \: [/tex]
the right answer is
A. 6(4x-3)Step-by-step explanation:
[tex]24x - 18[/tex]
Factor out 6 from the expression[tex] = 6(4x - 3)[/tex]
so we got the answerhope it helps[tex] \: [/tex]
Four times a number, increased by 10, is -2
what is the number?
Answer:
-3
Step-by-step explanation:
-3 × 4 = -12
-12 + 10 = -2
what is the slope of the equation above?
List the congruent sides.
Answer:
PQ≅ST; QR ≅TW; PR ≅SW
Step-by-step explanation:
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.
To make five dinners 1/3 cup of flour is used how many cups of flour are needed to make 3 dozen dinner rolls
Answer:
2.4 cups of flour or 2 2/5 cups of flour
Step-by-step explanation:
(1/3) divided by 5 = 0.06666666666
3 dozen = 36
0.06666666666 x 36 = 2.4
also, did you mean to make 5 dinner rolls?
Question in Image Rearranging Algebra expressions Will give brainliest.
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.
8m - 8 - 8 = 16
equation
Answer:
8m-16 =16
8m=16+16
8m =32
m=32/8
m=4
Step-by-step explanation:
HOPE THAT THIS IS HELPFUL.
HAVE AN AWESOME DAY
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
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
ryan lives 3 1/4 miles from school. kayla lives 2 3/4 miles from school. how much farther from school does ryan live than kayla?
help me with this one guys......
Answer:
[tex]7^-^1[/tex]
Step-by-step explanation:
So, when multiplying numbers with exponents that have the same base, all you have to do is combine the exponents.