Six more than the product of seven and a number is 55.
Which equation and solution correctly represent this sentence?
07 +6 = 55; x = 7
o 7x+6 = 55; x = 49
O + 6 = 55; x = 7
7
Х
+ 6 = 55: x= 49
Answer:
7x + 6 = 55; x=7
Step-by-step explanation:
"six more than" -> +6
"product of seven and a number" -> 7x
7x + 6 = 55
7x = 55 - 6
7x = 49
x=7
Answer:
6+7x=55, x=7
Step-by-step explanation:
7x=55-6
7x=49
x=7
What is the value of the expression shown? 4[4.5 − 2(1.2)]
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below are the weights in pounds of 11 players randomly selected from the roster of a championship sports team. Are the results likely to be representative of all players in that sport's league? 278 279 185 299 245 281 291 234 278 227 281
Answer:
Mean = 261.63 poundsMedian = 278 poundsModes: 278 & 281Mid-range = 242Yes all the results will be able to represent all players in the sports leagueStep-by-step explanation:
First of all, we will sort the data.
185 227 234 245 278 278 279 281 281 291 299
Mean:
Mean is defined as the sum of values divided by the number of values.
n = 11
[tex]Mean = \frac{sum}{n}\\= \frac{185+227 +234+ 245+ 278+ 278+ 279+ 281+ 281+ 291+ 299}{11}\\=\frac{2878}{11}\\=261.63\ pounds[/tex]
Median:
As the number of values is odd,
The median will be:
[tex]Median = (\frac{n+1}{2})th\ value\\= \frac{11+1}{2}\\=\frac{12}{2}\\=6th\ value[/tex]
The 6th value is 278
Median = 278
Mode:
Mode is the most frequent value in a data set.
In the given dataset,
278 and 281 are modes as both are repeated twice
Mid-range:
Mid-range is the average of maximum and minimum value
So,
Min = 185
Max = 299
So,
[tex]Mid-range = \frac{Max+Min}{2}\\= \frac{185+299}{2}\\= \frac{484}{2}\\= 242[/tex]
Hence,
Mean = 261.63 poundsMedian = 278 poundsModes: 278 & 281Mid-range = 242Yes all the results will be able to represent all players in the sports leagueA function, f left parenthesis x right parenthesis comma models the depth of water in a wading pool that is filling at a rate of 11 gallons per minute. Which of these describes why f left parenthesis x right parenthesis can be considered a linear function? I. For every 1 minute interval, the depth of water in the wading pool increases by the same amount. II. The function grows by equal factors every minute. III. The slope of the function is constant.
Answer:
quiz let or brainy helps me just look up the chapter question and you will get the answer
Step-by-step explanation:
hope this helps
f(x) can be considered as a linear function because of the following conclusions -
1 → For every 1 minute interval, the depth of water in the wading pool increases by the same amount of 11 gallons/minute.
2 → The slope of the function is constant.
What is the general equation of a straight line?
The general equation of a straight line is -
y = mx + c
Where -
[m] is the slope of the line.
[c] is the y - intercept.
Given is the following statement representing a function - f(x), that models the depth of water in a wading pool that is filling at a rate of 11 gallons per minute.
Assume that we represent the depth of the water rate by [y] and the time in minutes by [m]. We can write the function f(x) as -
y = f(x) = 11m
This is a linear relation and its graph will be a straight line passing through origin.
From this equation, we can make the following conclusions -
1 → For every 1 minute interval, the depth of water in the wading pool increases by the same amount of 11 gallons/minute.
2 → The slope of the function is constant.
Therefore, f(x) can be considered as a linear function because of the following conclusions -
1 → For every 1 minute interval, the depth of water in the wading pool increases by the same amount of 11 gallons/minute.
2 → The slope of the function is constant.
To solve more questions on straight line graphs, visit the link below-
brainly.com/question/2954112
#SPJ6
a) What is the equation of line A?
b) What is the equation of line B?
Answer:
Line A is x = -3
Line B is y = 2.5
Step-by-step explanation:
6-3
Pleass helpppppp
Answer:
3
Step-by-step explanation:
-3 is 3
Which expression is equivalent to (-7-4i)(6+7i)?
Answer:
Step-by-step explanation:
-14 - 73 i
Answer:
-28i^2-73i-42
Step-by-step explanation:
(−7)(6)+(−7)(7i)+(−4x)(6)+(−4i)(7i)
= −42−49i−24i−28i^2
= -28i^2-73i-42
f(x) = x2 + 3x - 7 For the function shown, what is the range of the function when the domain is (-3, 2, 5}?A (-7,33] B) {3, 11, 21) C{-7.3, 33) D) {-7, 11, 33)
Answer: C
Step-by-step explanation:
Find the difference.
Need help fast!
Answer:
D
Step-by-step explanation:
18 - 3 = 15
Someone help me with this, please! i’ll mark u as brainlist
Answer:
x = 8
Step-by-step explanation:
2x + 5 = 21
-5 -5
2x = 16
2x/2 = 16/2 ( divided 2 on both sides)
you get x= 8
to check your work, replace x with 8 in the equation
2 x 8 + 5 = 21 ( don't forget PEMDAS!!)
16 + 5 = 21
What is 3×7×7×7×7 using index notation
Answer: 3 x 7^4
Because there's one 3 & four 7's .
Step-by-step explanation:
Bea is asked to graph this system of equations:
8x - 6y=3
-3y + 4x + 4
How many times will the lines intersect?
Answer:
The lines will not intersect, because this system has no solutions
Step-by-step explanation:
Answer:
They will not intersect!
Step-by-step explanation:
A-P-E-X
Amanda has four plastic shapes, a circle, a square, a triangle, and a pentagon, In how many ways can she lineup the four shapes if the circle cannot be next to the square
Do NOT have an explanation that isn't just writing all the combinations of shapes.
====================================================
Explanation:
Let's say we have the following code names for each shape
C = circleS = squareT = triangleP = pentagonWe have 4! = 4*3*2*1 = 24 ways to arrange them without any restrictions
Some permutations have C and S together, while others do not.
Example of them together: CSTP
Example of them separated: CTSP
--------------------------
Let's say Amanda used a rubberband or glue to connect the circle to the square. This way the two shapes would always be together. They combine to form a new shape of sorts.
Let's call this new shape "polygon" and define it as
L = polygon
The codename L is just a placeholder for CS or SC.
So instead of the set of these codenames {C,S,T,P}, we have this reduced set {L,T,P}
No matter how we arrange the items in {L,T,P}, the circle and square are always going to be together. Again, anywhere you see an L, you replace it with CS or SC.
--------------------------
There are 3 letters in {L,T,P} so there are 3! = 3*2*1 = 6 ways to arrange those 3 letters. There are 2 ways to arrange S and C within any of those 6 arrangements mentioned earlier.
So there are 2*6 = 12 different ways to arrange the four shapes such that S and C are together somehow.
Recall earlier we found 24 ways total to arrange the shapes without restriction. This must mean there are 24 - 12 = 12 permutations such that S and C are not together. This is the final answer we're after.
PLEASE HELP!! I will mark brainliest
Answer:
the top one and bottom one
Step-by-step explanation:
Answer:
first and sixth
Step-by-step explanation:
they match
What is the difference of the polynomials?
I will give 40 points
Answer:
im answering this for the points and also u lied about how many points i would be getting. -.-
Step-by-step explanation:
answer is C i think
Answer:
7x^{2} +3y^{2} -4x
Step-by-step explanation:
12-5=7
-11-(-14)=3
-13-(-9)= -4
so it will be [tex]7x^{2} +3y^{2} -4x[/tex]
Please help!! I have trouble in math and will give points and thanks for this!!
Answer:
-5
Step-by-step explanation:
You can count backwards from -1.
-1, -2, -3, -4, and then -5 is the blue dot.
The left side of 0 is the negative side. The right side is the positive side.
Hope this helps!
Answer:
-5
Step-by-step explanation:
If you're going backward on the number line then you are in the negative zone because of -1
Fill in table using this function rule y= -4x - 2
Answer:
Step-by-step explanation:
x y
-2 6
-1 2
0 -2
1 -6
2 -10
PLease guys help!!!
Ice has ________ energy.
1. mechanical
2. cold
3. heat
Answer:
ice has kinetic enery
Step-by-step explanation:
Ice has heat energy
Which of the following is a solution of z^5 = 1 + √3i?
Help much needed! Thank you
[tex] \sqrt[5]{2} [/tex]
=cos12°+isin12° is your answer
PLEASE I NEED HELP AND I ONLY HAVE AN HR Question 2 (4 points)
(04.02)
Determine whether the graph represents a proportional relationship. (4 points)
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 15. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of cars. The title on the y-axis is Number of wheels.
a
Yes, it is a proportional relationship because the graph goes through the origin
b
Yes, it is a proportional relationship because the graph is a straight line
c
No, it is not a proportional relationship because the graph is not a straight line
d
No, it is not a proportional relationship because the graph does not go through the origin
------> The Answer Is C <------
Hope this helps have a good day :D
URGENT PLEASE I NEED HELP AND KINDLY SHOW THE SOLUTION/S AS WELL :))
Answer:
1. Steve's age is 18 and Anne's age is 8.
2. Max's age is 17 and Bert's age is 11.
3. Sury's age is 19 and Billy's age is 9.
4. The man's age is 30 and his son's age is 10.
Step-by-step explanation:
1. Let us assume that:
S = Steve's age now
A = Anne's age now
Therefore, in four years, we have:
S + 4 = (A + 4)2 - 2
S + 4 = 2A + 8 - 2
S + 4 = 2A + 6 .................. (1)
Three years ago, we have:
S - 3 = (A - 3)3
S - 3 = 3A - 9 ................................ (2)
From equation (2), we have:
S = 3A - 9 + 3
S = 3A – 6 …………. (3)
Substitute S from equation (3) into equation (1) and solve for A, we have:
3A – 6 + 4 = 2A + 6
3A – 2A = 6 + 6 – 4
A = 8
Substitute A = 8 into equation (3), we have:
S = (3 * 8) – 6
S = 24 – 6
S = 18
Therefore, Steve's age is 18 while Anne's age is 8.
2. Let us assume that:
M = Max's age now
B = Bert's age now
Therefore, five years ago, we have:
M - 5 = (B - 5)2
M - 5 = 2B - 10 .......................... (4)
A year from now, we have:
(M + 1) + (B + 1) = 30
M + 1 + B + 1 = 30
M + B + 2 = 30 .......................... (5)
From equation (5), we have:
M = 30 – 2 – B
M = 28 – B …………………… (6)
Substitute M from equation (6) into equation (4) and solve for B, we have:
28 – B – 5 = 2B – 10
28 – 5 + 10 = 2B + B
33 = 3B
B = 33 / 3
B = 11
Substituting B = 11 into equation (6), we have:
M = 28 – 11
M = 17
Therefore, Max's age is 17 while Bert's age is 11.
3. Let us assume that:
S = Sury's age now
B = Billy's age now
Therefore, now, we have:
S = B + 10 ................................ (7)
Next year, we have:
S + 1 = (B + 1)2
S + 1 = 2B + 2 .......................... (8)
Substituting S from equation (7) into equation (8) and solve for B, we have:
B + 10 + 1 = 2B + 2
10 + 1 – 2 = 2B – B
B = 9
Substituting B = 9 into equation (7), we have:
S = 9 + 10
S = 19
Therefore, Sury's age is 19 while Billy's age is 9.
4. Let us assume that:
M = The man's age now
S = His son's age now
Therefore, now, we have:
M = 3S ................................... (9)
Five years ago, we have:
M - 5 = (S - 5)5
M - 5 = 5S - 25 ................ (10)
Substituting M from equation (9) into equation (10) and solve for S, we have:
3S - 5 = 5S – 25
3S – 5S = - 25 + 5
-2S = - 20
S = -20 / -2
S = 10
Substituting S = 10 into equation (9), we have:
M = 3 * 10
M = 30
Therefore, the man's age is 30 and his son's age is 10.
please need help on this question
Answer:
..
Step-by-step explanation:
the product of a number and -8 is 72
Answer:
-9.
The product of -9 and -8 is 72.
Step-by-step explanation:
Product means the answer of a multiplication, so we're given 72 and -8.
We can solve this by using inverse operations.
The inverse operation of multiplication is division, so we divide 72÷ -8
This will give us -9.
A 2-quart carton of non-dairy creamer costs $6.32. What is the price per cup?
Answer:
you mean 2.5?????? in two quart????
In a baseball game, Elena scored twice many pints as Tyler.Tyler scored four points fewer than Noah, and Noah scored three times as many points as Mai. If Mai scores 5 points, how many did Elena scored?
Answer:
Elena scored 22 points.
Step-by-step explanation:
Mai scored 5 points, and Noah scored three times as many. This means Noah scored 15 points and if Tyler scored four points fewer, he scored 11 points. If Elena scored twice as many as Tyler, she scored 22.
What is the numerical expression of 28
Answer:
the answer is 5 i think
Step-by-step explanation:
The regular price of a hooded jacket is $25.75. During a sale, the jacket was marked as 20% off. What was the approximate price of the jacket during the sale?
A.
$5.15
B.
$20.60
C.
$21.62
D.
$23.75
Answer:
5.15 hope this help!!!
Step-by-step explanation:
give this brainlieast so other people can know its not 20.60
Rebecca wants to buy a bracelet that is $69.99 but today she can buy it for 20% off the price. What is the amount she will save?
Answer:
$13.99
Step-by-step explanation:
20% of $69.99 is $13.998
We get this by taking 69.99 X .2 = 13.998
Technically she would save $14 if we rounded up. But most stores will round down in order to save more money.
-10x-3y=-18
-7x-8y=11 solve system using elimination
Answer:
(-7) (-10x - 3y = -18)
(10) (-7x - 8x = 11)
--------------------------
70x + 21y = 126
+ -70 - 80x = 110
---------------------------
-59x = 236
x = -4
Answer
[tex] \huge{ \boxed{ \text{(3 \:, - 4)}}}[/tex]
✑ [tex] \underline{ \underline{ \text{First ,\: let's \: know \: about \: elimination \: method}}}[/tex] :
☇ In this method , we add or subtract the given equations to eliminate one of the two variables by making their coefficients equal. Then , a single equation with one variable so obtained is solved to find the value of the variable. The value of the variable is substituted to any one equation to find the value of the eliminated variable.
☯ [tex] \underline{ \underline{ \text{Let's \: solve}}} : [/tex]
[tex] \underline{ \text{Original \: system}} : [/tex]
[tex] \text{ - 10x - 3y = - 18 - - - - Equation\: (i)}[/tex]
[tex] \text{ - 7x - 8y = 11 - - - - Equation \: (ii)}[/tex]
[tex] \text{Step \: 1} : [/tex] Take L.C.M ( Lowest Common Multiple ) of 10 and 7. For this , find the prime factors of each number. Then, take out the common prime factors and other remaining prime factors and multiply them.
prime factors of 10 = 1 × 2 × 5prime factors of 7 = 1 × 7L.C.M = Common factors × Remaining Factors
= 1 × 2 × 5 × 7
= 70
[tex] \text{Step \: 2} : [/tex] Multiply equation ( i ) by 7
[tex] \text{7( - 10x - 3y ) = - 18 * 7}[/tex]
⇢ [tex] \text{ - 70x - 21y = - 126 - - - - equation \: (iii)}[/tex]
[tex] \text{Step \: 3} : [/tex]Multiply equation ( ii ) by 10
[tex] \text{10( - 7x - 8y) = 11 \: * \: 10}[/tex]
⇢ [tex] \text{ - 70x - 80y = 110 - - - - equation \: (iv)}[/tex]
[tex] \text{Step \: 4} : [/tex] Subtract equation ( iv ) from equation ( iii ) :
Also Remember that while subtracting , sign of each term of the second equation changes. Here , we are eliminating x . So to make the coefficient of y same , equation ( i ) is multiplied by 7 and equation ( ii ) is multiplied by 10.⇩
[tex] \text{ - 70x - 21y = - 126}[/tex]
[tex]\text{+70x + 80y = - 110}[/tex]
___________________
[tex] \text{ \: \: \: \: \: \: 59y = - 236}[/tex]
Solve :
⇢ [tex] \text{59y/59 = - 236/59}[/tex]
⇢ [tex] \boxed{ \bold{ \text{y = - 4}}}[/tex]
[tex] \text{Step \: 5} : [/tex]
Substitute the value of y into equation ( iii ) , we get :
[tex] \text{ - 70x - 21y = - 126}[/tex]
➳ [tex] \text{ - 70x - 21( - 4) = - 126} [/tex]
➳ [tex] \text{ - 70x - ( - 84) = - 126} [/tex]
➳ [tex] \text{ - 70x + 84 = - 126}[/tex]
➳ [tex] \text{ - 70x = - 126 - 84}[/tex]
➳ [tex] \text{ - 70x = - 210}[/tex]
➳ [tex] \text{ - 70x/ - 70 = - 210/ - 70}[/tex]
➳ [tex] \boxed{ \bold{ \text{x = 3}}}[/tex]
[tex] \bold{ \underline{ \text{Hence ,\: x = 3 \: and \: y = - 4}}}[/tex]
Hope I helped!
♡ Have a wonderful day / night ツ
~ [tex] \sf{TheAnimeGirl} [/tex] ♪
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The following list gives the number of public libraries in each of 11 cities. 7, 11, 8, 7, 8, 7, 8, 11, 8, 10, 7 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."
Answer:
The mode are: 7, 8
Step-by-step explanation:
Given
[tex]7, 11, 8, 7, 8, 7, 8, 11, 8, 10, 7[/tex]
Required
Determine the mode
We start by arranging the given data in ascending order
The ordered data are:
[tex]7,7,7,7, 8,8,8,8, 10, 11, 11[/tex]
From the above data.
7 has a frequency of 4
8 has a frequency of 4
10 has a frequency of 1
11 has a frequency of 2
The data with the highest frequency is the mode.
We can see that 7 and 8 both have frequencies of 4
Hence, the mode are: 7, 8
Answer:
The mode are: 7, 8
Step-by-step explanation: