Answer:
[tex]x=-44[/tex]
Step-by-step explanation:
[tex]3x+10=4x+54[/tex]
To solve for the variable [tex]x[/tex], start by subtracting [tex]3x[/tex] from both sides of the equation:
[tex]10=x+54[/tex]
Then, subtract [tex]54[/tex] from both sides of the equation:
[tex]-44=x[/tex]
Therefore, [tex]x=-44[/tex]
-
To check your work, simply substitute the solved value of [tex]x[/tex] into the initial equation:
[tex]3(-44)+10=4(-44)+54[/tex]
Multiply:
[tex]-132+10=-176+54[/tex]
Add:
[tex]-122=-122[/tex]
Since both sides of the equation are equal to each other, our solution is correct!
Answer:
[tex] = > 3x + 10 = 4x + 54[/tex]
We need to get the x on the one side and the numbers on the other.
Subtract 3x from both sides:
[tex] = > 3x - 3x + 10 = 4x - 3x + 54[/tex]
[tex] = > 10 = x + 54[/tex]
Subtract 54 from both sides:
[tex] = > 10 - 54 = x + 54 - 54[/tex]
[tex] = > - 44 = x[/tex]
Thus,the value of x is -44.
For checking:
[tex] = > 3x + 10 = 4x + 54[/tex]
[tex] = > 3( - 44) + 10 = 4( - 44) + 54[/tex]
[tex] = > - 132 + 10 = - 176 + 54[/tex]
[tex] = > - 122 = - 122[/tex]
An architect draws a plan for a wheelchair ramp on the plan, the ramp is 2cm high and 24cm long what might the dimensions of the actual ramp be (use equivalent ratios)
Answer:
[tex]Height = 30cm[/tex]
[tex]Length = 360cm[/tex]
Step-by-step explanation:
Given
Scale Measurement
[tex]Height = 2cm[/tex]
[tex]Length = 24cm[/tex]
Required
Determine the possible actual measurement
First, calculate the equivalent ratio.
[tex]Ratio = \frac{Length}{Height}[/tex]
[tex]Ratio = \frac{24cm}{2cm}[/tex]
[tex]Ratio = 12[/tex]
To do this, we pick a scale factor.
Assume the scale factor is 15.
The actual measurement will be:
[tex]Height = 2cm * 15[/tex]
[tex]Height = 30cm[/tex]
[tex]Length = 24cm * 15[/tex]
[tex]Length = 360cm[/tex]
When the scale ratio is calculated, we have:
[tex]Ratio = \frac{Length}{Height}[/tex]
[tex]Ratio = \frac{360cm}{30cm}[/tex]
[tex]Ratio = 12[/tex]
Note that both have the same equivalent ratios of 12.
So, whatever the scale ratio you use, the equivalent ratio will be the same
A team of 6 people is to be chosen from 8 men and 6 women. Find the number of different teams that may be chosen if
(a) there are no restrictions,
(b) there are a husband and wife who must not be seperated,
9514 1404 393
Answer:
a) 3003
b) 1419
Step-by-step explanation:
a) With no restrictions, the problem amounts to counting the number of combinations of 14 people taken 6 at a time. That is ...
14!/(6!(14-6)!) = 3003 . . . teams with no restrictions
__
b) With the restrictions, there are two cases:
(i) all 6 people are taken from the 12 that exclude the couple. That number of combinations is ...
12!/(6!(12-6)!) = 924
(ii) 4 people are taken from the 12 that exclude the couple, and the couple fills the last two team slots. That number is ...
12!/(4!(12-4)!) = 495
The sum of the counts of these two cases is ...
924 +495 = 1419 . . . teams with inseparable couple
8-2x=-3+1 solve the question
I WILL MARK THE BRAINEST
1.How many exterior angles are there at each vertex of the triangle
2.How many exterior angles does a triangle have in all
Answer:
blank 1: 2
blank2: 6
hope this helps
Simplify:
√36a^3b^4
A) 6ab^2√a
B) 6ab^2
C) 6ab^2√ab
D) 6ab^3
If a parabola opens down, what is true about its quadratic function
Answer:
The vertex is the minimum.
Step-by-step explanation:
the vertex represents the lowest point on the graph, or the minimum value of the quadratic function.
A cereal company is determining the nutritional information of a new recipe. They took a random sample of 20 servings of the cereal and measured
the number of calories in each serving. The number of calories in each serving are listed.
143, 145, 147, 150, 150, 152, 157, 159, 160, 160, 161, 163, 164, 165, 165, 168, 173, 175, 177, 180
The box plot shown is a summary of the data. Move numbers to the spaces to label the values and complete the box plot.
143
180
not drawn to sale
145
150
151
160.5
160.7
165
166.5
177
Answer:
Minimum is 143, second whisker is 150, median is 160.5, 3rd quartile is 166.5, maximum is 180
Step-by-step explanation:
The first box is fillled with first quartile 151, the second box is filled with second quartile 160.5, and the third box is filled with the third quartile 166.5
How does a boxplot shows the data points?A box plot has 5 data description.
The leftmost whisker shows the minimum value in the data.The rightmost whisker shows the maximum value in the data.The leftmost line in the box shows the first quartile.The middle line shows the median, also called second quartile.The last line of the box shows the third quartile.What are quartiles?When we get data which can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.
Quartiles are then selected as 3 points such that they create four groups in the data, each groups approximately possessing 25% of the data.
Lower quartile, also called first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.
Similarly, second quartile (also called median) is approximately in mid of the data.
Third quartile (also called upper quartile) has approx 75% in its left partition, and on its right lies approx 25% of the data.
Left to right is said in assumption that data was arranged increasingly from left to right
For this case, the data is:
143, 145, 147, 150, 150, 152, 157, 159, 160, 160, 161, 163, 164, 165, 165, 168, 173, 175, 177, 180
It is already sorted. There are 20 values.
We have to find the limits of box and the mid line, which are the three quartiles.
Dividing 20 in 4 equal parts give size of 5
Thus, 5-5-5-5 groups will be made by the three quartiles of this data.
The fifth value is 150, and sixth is 152. Any number between 150 and 152 can be taken as the first quartile, as before it will lie 25% of values and 75% of the data after that value. By tradition, we take average of these two values, so its 151 as the first quartile of the considered data set.
In the similar way, the second quartile or median is mean of 10th and 11th value which evaluates to (160+161)/2 = 160.5
And, the third quartile is the mean of 15th and 16th value of this data set, which evaluates to (165+168)/2 = 166.5
Thus, the first box is fillled with first quartile 151, the second box is filled with second quartile 160.5, and the third box is filled with the third quartile 166.5
Learn more about quartiles here:
brainly.com/question/9260741
Which of the following is NOT an arithmetic sequence?
A. 4, 7, 10, 13, 16
B. 15, 9, 3, -3, -9
C. 2, 4, 8, 16, 32
D. 1, 2, 3, 4, 5
Answer:
C. 2, 4, 8, 16, 32
Step-by-step explanation:
C. 2, 4, 8, 16, 32 is NOT an arithmetic sequence. Because the difference between any two consecutive terms is not same.
Which is the graph of y -3= -2/3( x+ 6)?
Answer:
y= −2/3x−1
Step-by-step explanation:
What is the Prime Factorization
Answer:
for example the PF of 32 is 2*2*2*2*2 or 2^5
Step-by-step explanation:
Answer:
It means the decomposition of a composite number into a product of smaller integers. If these factors are further restricted to prime numbers, the process is called prime factorization.
Which side lengths form a right triangle chose all that apply
Answer:
b
Step-by-step explanation:
only b is true
plz help quick will give brainly
What is the difference between the opposite of 12 and the absolute value of 12? Use a number line to explain.
Answer:
Opposite 12= -12
Absolute value of 12: Just -12.
Step-by-step explanation:
I don't know.
is 19, and 40 a prime or composite number
Answer:
19 is a prime number. 40 is a composite number
Step-by-step explanation:
40 can be divided by number other than 1 and its self
19 can only be divided by 1 and itself
Answer:
19 is composition 40 is prime number
Which ordered pair is a solution of the equation?
(I will mark you brainliest if correct)
Answer:
Step-by-step explanation:
d
A runner's distribution of times for running 1,000 meters has a mean of 4.5 minutes with a standard deviation of 0.75 minutes. One of the runner's times has a z-score of –1.76. What is the runner's time?
Answer:
The runner’s time is 3.18 minutes
Step-by-step explanation:
Mathematically;
z-score = (x-mean)/SD
In this question, we have the z-score but we want to calculate x
From the question
z-score = -1.76
mean = 4.5 minutes
SD = 0.75 minutes
x = ?
Substituting these values, we have that
-1.76 = (x-4.5)/0.75
0.75(-1.76) = x - 4.5
-1.32 = x - 4.5
x = 4.5 -1.32
x = 3.18
Answer:
3.18
Step-by-step explanation:
edg
Hi please help. i’ve been stuck on this for 5 minutes
A salesperson earns $450 per week plus 15% of her weekly sales. The
expression representing her earnings is 450 +0.15x. Which of the following
describes the sales necessary for the salesperson to earn at least $600 in
one week?
Answer:
If a sales person wants to earn $600 in 1 week they have to make $1000 dollar sale or a bunch of sales that can make $1000
Step-by-step explanation:
Because $600 - $450 gives you $150, and $150 is 15% of her sales to if we were to divide $150 by 0.15 ( 15% in decimal for ) we would get $1000 meaning 15% of 1000 is 150.
Hope this helps :)
50 points!! Look at both pics attached! I need this done ASAP! Put random answers and I will report you
Answer:
For the first: [tex]x=-23[/tex] and [tex]x=17[/tex]
For the second: [tex]x=5[/tex]
Step-by-step explanation:
Answer:
x=17 for the first and x=5 for the second.
Step-by-step explanation:
First picture
Opposite angles of two intersecting lines are equal.
So the angle opposite the 100 degree angle on line c is also 100.
Since a, b, and c are all parallel, the angles made by the intersecting line r, are also all equal (these are corresponding angles).
So 5x + 15 = 100
5x = 85
x = 17
Second picture
Adjacent angles add up to 180 degrees. So the angle opposite 52 is 180-52=128.
[tex]2^{2x-3}=128\\\\2x-3 = 7\\2x = 10\\x=5[/tex]
The mean for this set of data is 18. Which number could be put in the blank to make this statement true?
16 10 22 ___
A. 84
B. 24
C. 48
D. 72
The mean of the data is 18 and the missing statement is x = 24
What is Mean?The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Mean = Sum of Values / Number of Values
Given data ,
Let the data be represented as A
Now , the value of A = 16 , 10 , 22 , x
Let the mean of the data be M = 18
To find the mean of the data set, we need to add up all the numbers and divide by the total number of numbers:
(16 + 10 + 22 + x) / 4 = 18
We can simplify this equation by multiplying both sides by 4 to get rid of the fraction:
16 + 10 + 22 + x = 72
Now we can solve for x by subtracting the three known numbers from both sides:
x = 72 - 16 - 10 - 22
x = 24
Therefore, the number that could be put in the blank to make the statement true is 24
To learn more about mean click :
https://brainly.com/question/15526777
#SPJ2
pls hellpppp
The triangles below are similar find Y
Answer:
15Step-by-step explanation:
y = 15
The ratio of the corresponding sides of a similar triangle will be constant. Then the length of y will be 15 units.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If the two triangles are similar, the ratio of the corresponding sides will be constant.
Then the ratio will be
22 / 10 = 33 / y = x / 12
From first two terms, we have
22/10 = 33/y
y = 15 units
More about the triangle link is given below.
https://brainly.com/question/25813512
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Please answer quick 20 points and if answer is right I will give Brainly
Answer:
216*64/8=1728....
Step-by-step explanation:
12³ is the appropriate answer
What are the coordinates of point K after the translation (x, y) ---> (x + 2, y + 5)
(-1/3) ÷ 27 PLS HELP OML
PLEASEEEE HELPPPP 10th GRADE GEOMETRY!!!
Number Lines
F is between E and G. EF= 9 and FG= 11. what is the length of EG?
Answer:
20
Step-by-step explanation:
EG = EF + FG
Its given in the question that -
• EF = 9
• FG = 11
So,
EG = 9 + 11 = 20
Answers pleasee this stuff is hard
Answer:
According to the integral root theorem the only possible real, integral zeros are +/- factors of (10*3 - 8)
... or factors of 992(+/-). you can test by direct substitution. No positive values are roots ... try 1, 1332, but as x increases so does y ... so there are no positive roots.
Roots, means y = 0 ... so (x + 10)^3 = 8 ... take cube root ... x + 10 = 2 .. x = -8
x = -8 is a root
Testing other negatives and the y values are not zero but tend toward - infinity.
So the only real zero is x = -8
Answer:
it helps you
Step-by-step explanation:
this is for y = (x-10)^3 - 8
According to the integral root theorem the only possible real, integral zeros are +/- factors of (10*3 - 8)
... or factors of 992(+/-). you can test by direct substitution. No positive values are roots ... try 1, 1332, but as x increases so does y ... so there are no positive roots.
Roots, means y = 0 ... so (x + 10)^3 = 8 ... take cube root ... x + 10 = 2 .. x = -8
x = -8 is a root
Testing other negatives and the y values are not zero but tend toward - infinity.
So the only real zero is x = -8
Similarly for y = (x + 7)^3 +2 = 0
(x + 7)^3 = -2
x + 7 = cube root (-2)
x = -7 + cube root (-2) <<< the only real root
what's the answer step by step please
An 80% confidence interval is found to be (26, 38). What is the margin of
error?
A. 9.6
B. 12
C. 6
D. 4.8
Answer:
C : 6
Step-by-step explanation:
The school's copier can
make 30 copies in 12a
minute. How many
copies can it make in 18
minutes?
Answer: 45 copies in 18 minutes
Step-by-step explanation:
i figured it out ;)
I need help with A,B and c
Step-by-step explanation:
a. D( as it has 7 sides)
b. D(as it has 7 sides)
c. B( as it has 9 sides)
Hope it will help you :)❤