Answers
Answer:
14
Step-by-step explanation:
4x + 2x + 6 = 90
6x + 6 = 90
6x = 84
x = 14
Related Questions
solve system by elimination
-2x+4y=-2
2x+3y=9
Answers
Answer:
y=1, x=3 or (3,1)
Step-by-step explanation:
when you add the two equations together the two x's cancel out, which leaves one solvable equation, 7y=7, so y=1, then you can plug y=1 into one of the equations. 2x+3(1)=9 which is 2x+3=9 then solve, x=3.
Additionally if you want to check answers plug both into one equation- -2(3)+4(1)=-2, -6+4=-2, -2=-2 which is correct.
The solution for the given linear system from the elimination method is x=3 and y=1.
System of Linear EquationsSystem of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.
You can solve a linear system by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.
-2x+4y=-2 (1)
2x+3y=9 (2)
You should sum the equations 1 and 2, for eliminate the variable x.
-2x+4y+2x+3y=-2+9
7y=7
y=1
If y=1 from equation 2, you have:
2x+3*1=9
2x+3=9
2x=9-3
2x=6
x=3
Read more about the solving systems equations by elimination here:
https://brainly.com/question/12691830
#SPJ2
what is the absolute vale of |-18|
Answers
Answer:
18
Step-by-step explanation:
the absolute value is 18
1) Describe the steps in creating a box plot. What do you have to find to complete a box plot graph? (at least 5 steps)
Answers
Answer:
I'm Pretty sure
Step-by-step explanation:
Step 1: Calculate the quartile values. First you need to calculate the minimum, maximum and median values, as well as the first and third quartiles, from the data set. ...
Step 2: Calculate quartile differences. ...
Step 3: Create a stacked column chart. ...
Step 4: Convert the stacked column chart to the box plot style.
'the largest prime number that is a factor of 42'
is multiplied by
'the smallest prime number that is a factor of 28'
Answers
Answer:
14.
Step-by-step explanation:
42 = 2 8 3 * 7
Largest prime factor = 7
28 = 2 * 2 * 7
Smallest prime factor = 2
Answer = 2*7 = 14.
Kate is the captain of a large cruise ship. As she
drives the ship, she sits 50 meters above the sea.
Paul is the captain of a boat. He sits 15 meters
above the sea. If the radius of the earth is
6,371,000 meters, how much further can Kate see
across the horizon than Paul?
Answers
Kate can see across the horizon by 3.33 times further than Paul.
What is the shape of the horizon?The assumed shape of the horizon shows that it forms a cone shape. The volume of the cone can be used to determine how far they can see.
The volume of the cone [tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]
For Kate:
Height (h) = 50 mRadius (r) = 6,371,000 m[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]
[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{50 }{3}}[/tex]
V = 2.12526863 × 10¹⁵ m³
For Paul
Height (h) = 15 mRadius (r) = 6,371,000 m[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]
[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{15 }{3}}[/tex]
V = 6.3758059 × 10¹⁴ m³
To determine how much further can kate see across the horizon than Paul, we have:
= Volume of Kate/Volume of Paul
= 2.12526863 × 10¹⁵ m³/6.3758059 × 10¹⁴ m³
= 3.33 times further.
Learn more about Plane shapes here:
https://brainly.com/question/4504103
#SPJ1
Please help asap
Multiply:
3(4a)
Will give 25 points!
Answers
Answer:
12a
Step-by-step explanation:
If I'm understanding your question correctly, 3(4a), or 3 × (4a), is simply 12a.
Answer: 12a
Step-by-step explanation:
Multiply:
3(4a)
⇒3 × 4a
⇒12a Answer
hope that helps...
help with applications of surface area and volume problems! will reward brainly, 10th grade geometry
Answers
Answer:
Question 1:
Rectangular prism requires [tex] 10.185\: in^2[/tex] more material to make than the cylinder.
Question 4:
The cylindrical container holds [tex]\bold{60.16\: in^3}[/tex] more than the rectangular prism.
Step-by-step explanation:
Question 1:
In order to select the correct answer, we should find the surface areas (SA) of both cylindrical as well as rectangular containers. Let us start...For cylindrical container:h = 10 in & r = 4.5 in[tex] SA (Cylindrical \:container) = 2\pi rh+2\pi r^2-\pi r^2[/tex] ([tex]\pi r^2[/tex] is subtracted because the container is open from the top)[tex] SA (Cylindrical \:container) = 2\pi rh+\pi r^2[/tex] [tex] SA (Cylindrical \:container) = 2(3.14)(4.5)(10)+3.14 (4.5)^2[/tex] [tex]\implies \red{\boxed{\bold{SA (Cylindrical \:container) =346.185\: in^2}}}[/tex] Next, we find the surface area of the rectangular container which has following dimensions.[tex] l = 8\: in,\: b = 8\: in,\: h= 8.5\: in[/tex][tex] SA ( rectangular\: container) = 2(lb+bh+lh)-lb[/tex] (lb is subtracted because container is open from the top)[tex] \implies SA ( rectangular\: container) = lb+2(bh+lh)[/tex][tex] \implies SA ( rectangular\: container) = 8*8+2(8*8.5+8*8.5)[/tex][tex] \implies \purple{\boxed{\bold{SA ( rectangular\: container) = 336\: in^2}}}[/tex]Here, SA (Cylindrical container) > SA (rectangular container)[tex] Difference = 346.185 - 336 = 10.185\: in^2[/tex][tex]\bigodot[/tex] This means: rectangular prism requires [tex]\bold{10.185\: in^2}[/tex] more material to make than the cylinder.Question 4:
[tex] V_{Cylinderical\: container}= \pi r^2 h [/tex][tex] \implies V_{Cylinderical\: container} =3.14 (4)^2 (9)[/tex][tex]\implies\red{\boxed{\bold{V_{Cylindrical\: container}=452.16\: in^3}}}[/tex][tex]V_{rectangular\: container}= l*b* h[/tex][tex] \implies V_{rectangular\: container}= 7*7* 8[/tex][tex] \implies \orange{\boxed{\bold{V_{rectangular\: container}= 392\: in^3}}}[/tex] Here, [tex] V_{Cylinder\: container}>V_{rectangular\: container}[/tex][tex] Difference = 452.16 - 392= 60.16\: in^3[/tex][tex]\bigodot[/tex] Thus, the cylindrical container holds [tex]\bold{60.16\: in^3}[/tex] more than the rectangular prism.A group of 31 friends gets together to play a sport. First, people must be
divided into teams. Each team has to have exactly 3 players, and no one can
be on more than one team. How many teams can they make? (It is possible
that not everyone can be on a team.)
87
Answers
Answer: 10 teams is the answers
Et $a_1, a_2, a_3,\dots$ be an arithmetic sequence.
if $a_1 + a_3 + a_5 = -12$ and $a_1a_3a_5 = 80$, find all possible values of $a_{10}$.
Answers
Since it's an arithmetic sequence,
[tex]a_2 = a_1 + d[/tex]
[tex]a_3 = a_2 + d = a_1 + 2d[/tex]
[tex]a_4 = a_3 + d = a_1 + 3d[/tex]
and so on, up to
[tex]a_n = a_1 + (n-1)d[/tex]
Now, by substitution,
[tex]a_1 + a_3 + a_5 = -12[/tex]
[tex]a_1 + (a_1+2d) + (a_1+4d) = -12[/tex]
[tex]3a_1 + 6d = -12[/tex]
[tex]a_1 + 2d = -4[/tex]
[tex]\implies a_1 = -4-2d, a_3 = -4, a_5 = -4+2d[/tex]
Then the product [tex]a_1a_3a_5=80[/tex] depends only on d, so that
[tex](-4-2d) \times (-4) \times (-4+2d) = 80[/tex]
Solve for d :
[tex](4+2d) (4-2d) = -20[/tex]
[tex]16 - 4d^2 = -20[/tex]
[tex]4d^2 = 36[/tex]
[tex]d^2 = 9[/tex]
[tex]d = \pm3[/tex]
If d = 3, then the first term in the sequence is [tex]a_1 = -10[/tex], and the tenth term would be [tex]a_{10} = \boxed{17}[/tex].
If d = -3, then the first term would instead by [tex]a_1 = 2[/tex], and the tenth term would be [tex]a_{10} = \boxed{-25}[/tex].
Julia earned $2,000 during the month of September.
Use the paycheck statement to find the missing percent rates of the taxes Julia payed.
Answers
Based on the amounts Julia paid and the percentage rates, the missing amounts are:
$124 for social security. $29 for Medicare. 13% for federal income tax. 6% for state income tax. How much tax did Julia pay?Julia's social security taxes were:
= 6.2% x 2,000
= $124.
Medicare amount:
= 1.45% x 2,000
= $29
Federal income tax:
= 260 / 2,000 x 100%
= 13%
State income tax:
= 120 / 2,000 x 100%
= 6%
Find out more on income taxes at https://brainly.com/question/26316390.
#SPJ1
The picture is the question
Answers
Answer:
exponential
Step-by-step explanation:
The function follows the rule :
y = 3ˣAs y varies directly to the power of the exponent, this function is exponentialLet's check
Common ratio
3/1=39/3=3Its a geometric sequence
Hence exponential
what is the probability of rolling a 1 and then rolling an even number with one 6 sided die
Answers
Answer:
5/6(83.33%) I think this should be the probability of it.
-
I
The shaded area shows a patio that Rudy built. He covered the shaded area with square tiles.
1 tile = 1 square foot
What is the area of the patio?
O A. 15 square feet
O B. 18 square feet
OC. 21 square feet
OD. 25 square feet
Answers
Answer:In the diagram, there are 28 tiles. You can do that with easy multiplication or just counting. Each square length is 1.5 feet, or 18 inches. You get that by multiplying 12 by 1.5. The area of a square is 324 inches, found by multiplying 18 by 18. Divide 324 by the area of a tile, 36 (6*6), to get 9. There are 9 tiles in each square. Multiply 9 by 28 to get... 252
Step-by-step explanation:
define angle of elevation?
Answers
The angle of elevation is the angle of which something, in simple terms, is raised from a straight plane. If it is the angle downwards, we call this the angle of depression.
An image giving an example, or a visual description, is attached.
It comes from Khan Academy.
i have number 9 , i just need number 10
if the circle is centered at point O, what is the measure of MON ?
Answers
When analyzing the relationship in non-linear data as a linear association, when should the strategy of ignoring outliers be used?
If ignoring half of the data points allows the remaining data to be represented by a curved line.
If ignoring one or two data points allows the remaining data to be represented by a straight line.
If ignoring half of the data points allows the remaining data to be represented by a straight line.
If ignoring one or two data points allows the remaining data to be represented by a curved line.
Answers
Explanation:
An outlier is typically one or two points that differ greatly from the rest of the data. If ignoring these outliers contributes to the ability to identify non-linear data as a linear association, then a straight line should still be present regardless of these two points.
Find the Volume of a triangular pyramid! ~
Answers
Answer:
20
Step-by-step explanation:
using the given formula:
V = 1/3(Base Area)(height)
V = 1/3 (5)(12)
V = 1/3 (60)
V = 20
Answer:
20
Step-by-step explanation:
V = 1/3Bh
V = 1/3 x 5 x 12
V = 4 x 5
V = 20 cubic feet
carolyn and emily are searching online for tickets to a concert. two weeks ago, the cost was $20. now the cost is $29. carolyn said the percent increase is 45% and emily said the percent of increase is about 31%. who is correct?
Answers
Answer:
Carolyn
Step-by-step explanation:
Carolyn:
45% = 0.45
We multiply the orignal price with 0.45 to see how much it increased.
[tex]20(0.45) = 9[/tex]
We then add it to the original price
[tex]20+9 =29[/tex]
Emily:
31% = 0.31
We multiply the orignal price with 0.31 to see how much it increased.
[tex]20(0.31) = 6.2[/tex]
We then add it to the original price
[tex]20+6.2=26.2[/tex]
That means that Carolyn is correct.
At summer camp, Rob went on a nighttime nature walk with his troop. During the walk, they saw 3 bats, 1 owl, 2 deer, and 6 squirrels.
Rob had never seen a bat before. What percent of the animals they saw on the walk were bats?
Answers
Answer:
25%???
Step-by-step explanation:
I think
What number when added to 1 1/3 is 2
Answers
Answer:
2/3 or .66 repeated
Step-by-step explanation:
1 1/3= 1.33
1.33 + .66..7 is 2
Answer:
[tex]\huge\boxed{\sf x = \frac{2}{3}}[/tex]
Step-by-step explanation:
Let the number be x
Given condition:
[tex]\displaystyle 1 \frac{1}{3} +x=2\\\\Subtract\ 1\frac{1}{3} \ to \ both \ sides\\\\x = 2-1\frac{1}{3} \\\\x = \frac{2 \times 3}{1 \times 3} - \frac{4}{3} \\\\x = \frac{6}{3} - \frac{4}{3} \\\\x=\frac{6-4}{3} \\\\\boxed{x = \frac{2}{3}} \\\\\rule[225]{225}{2}[/tex]
If v₁ = (3,-4) and v₂ = (2,6), then v₁v₂ is equal to which of the following?
O A. (-12,-24)
OB. 30
O C. -18
OD. (6,-24)
Answers
Answer:
C. -18
Step-by-step explanation:
Scalar Product (Dot Product) of two vectors
[tex]\displaystyle \vec{a} \cdot \vec{b}=\sum_{i=1}^na_ib_i[/tex]
[tex]\textsf{If }\: \vec{a}=a_1\hat{i}+a_2\hat{j}+a_3\hat{k} \quad \textsf{and } \quad \vec{b}=b_1\hat{i}+b_2\hat{j}+b_3\hat{k}[/tex]
[tex]\textsf{then }\quad \vec{a} \cdot \vec{b}=a_1b_1+a_2b_2+a_3b_3[/tex]
Given:
v₁ = (3, -4)v₂ = (2, 6)⇒ v₁ · v₂ = (3 · 2) + (-4 · 6)
⇒ v₁ · v₂ = 6 + (-24)
⇒ v₁ · v₂ = 6 - 24
⇒ v₁ · v₂ = -18
PLEASE PLEASE HELP ME WITH RHIS QUESTION
Answers
Answer:
D) He has a 67% chance of getting a 1, 3, 5, or 6.
You plan to move to San Antonio. You earn a salary of $42,000 here in McAllen. How much more must you earn in San Antonio if the cost of living is 15% higher?
Answers
sharmar spent at least 30 minutes playing his guitar on saturday he spent 10 minutes longer playing his guitar on saturday than on friday. how many minutes could shamar have played his guitar on friday F?
Answers
Because-
If he did ten more minutes then friday just do 30 - 10 whih 20 mins
Find the equation of the line that passes through the point (-8,15) and is perpendicular to the equation below.
y = -4/5x + 5
A. y = -5/4x + 5
B. y = -4/5x - 7
C. y = -4/5x + 23
D. y = 5/4x + 25
Please help asap!
Answers
Answer:
[tex]y = \frac{5}{4} x + 25[/tex]
Step-by-step explanation:
We were told that the equation of the line we are looking for is perpendicular to
[tex]y = - \frac{4}{5} x + 5[/tex]
We know that the gradient of perpendicular lines when multiplied is equal to -1, therefore
[tex] line \: .1 \times \: line \: .2 = - 1 \\ \\ \frac{4}{5} \times line \: .2 = - 1 \\ \\ line \: .2 = \frac{ - 1}{ \frac{4}{5} } [/tex]
[tex]line\: .2 = \frac{5}{4} \: \: \: \: y = 15 \: \: \: \: x = - 8 \\ \\ y = mx + c \\ \\15 = ( \frac{5}{4} ) - 8 + c \\ \\ 15 = - 10 + c \\ 15 + 10 = c[/tex]
[tex]25 = c \\ \\ therefore \: the \: equation \: of \: the \: line \: is \: \\ \\ y = \frac{5}{4} x + 25[/tex]
Solve for the value of x -
[tex]5(4x-4)=-60[/tex]
Thanks! ^^
Answers
Answer:
x = -2
Step-by-step explanation:
[tex]20x - 20 = -60\\20x = -40\\x = -2[/tex]
hope this helped!!
Answer:
x = -2
Step-by-step explanation:
Divide both sides by 5 :
5/5 (4x - 4) = -60/54x - 4 = -12Add 4 to both sides :
4x - 4 + 4 = -12 + 44x = -8Divide both sides by 4 :
4x/4 = -8/4x = -2which equation represents a line which is parallel to the line y=8/7x-6?
Answers
Answer: 8x-7y = 56
Step-by-step explanation:
Answer this question to get 10 pts!
Answers
A = 70x30 = 2100
B = 4x30 = 120
C = 9x70 = 630
D = 9x4 = 36
Total Area = 2100+120+630+36 = 2886
So 74x39=2886
B = 30 x 4 = 120
C = 9 x 70 = 630
D = 9 x 4 = 36
to find area use length x breadth
A certain species of bird is in danger of becoming extinct. There were 1500 birds in 2000 and they are
decreasing at an annual rate of 6.5%.
a) If this trend continues, how many birds will be left by 2010?
b) How many birds would there have been in 1990?
Answers
a) If this trend continues, how many birds will be left by 2010 will be 525
b) The birds would there have been in 1990 will be 2475
What is rate of increase?Rate of increase or decrease is defined as the increment or decrement in any quantity over a period of time constantly.
Here we have the data that:
There were 1500 birds in 2000 and they are decreasing at an annual rate of 6.5%.
a) If this trend continues, how many birds will be left by 2010
{1500x6.25}/{100}=97.5
So the bird decrement in the one year will be =97.5 so it will be in the 10 years or upto 2010 will be
97.5x10=975
So the birds left till 2010 will be:
Q=1500-975=525
b)The birds would there have been in 1990 will be:-
=1500+975=2475
Hence If this trend continues, how many birds will be left by 2010 will be 525.The birds would there have been in 1990 will be 2475
To know more about Rate of increase follow
https://brainly.com/question/11360390
#SPJ1
which expression shows the raltinship between 1 and 2 and 6 and 3
Answers
Step-by-step explanation:
THREE SOLUTION TO PROVE ITS FALSE
1:2
Multiply by 3 on each side
1*3 : 2*3 = 3:6
This is not the same as 6:3
3 apple:6 bananas is not the same as 6 apples: 3 bananas
1:2 is equivalent to 6:12 not 6:3
because 1x6=6 2×6=12 =6:12
3)
however when we solve mathematically
1/2=6/3
1/2=2
The sides are not equa so its false
