Answer:
x = 5, AB = 27, BC = 19
Step-by-step explanation:
From the diagram
AB + BC = AC , substitute values
4x + 7 + 3x + 4 = 46 , that is
7x + 11 = 46 ( subtract 11 from both sides )
7x = 35 ( divide both sides by 7 )
x = 5
Thus
AB = 4x + 7 = 4(5) + 7 = 20 + 7 = 27
BC = 3x + 4 = 3(5) + 4 = 15 + 4 = 19
Answer:
1. x = 5
2. AB= 27
3. BC = 19
Step-by-step explanation:
Solving for X:
The entire segment is 46. Parts AB and BC make up the whole thing. So, to find x, add both expressions and set them equal to 46.
4x+7+3x+4=46 (combine like terms)
7x+11=46 (subtract 11 from both sides)
7x = 35 (divide by 7)
x = 5
Finding AB:
Plug 5 in for x and evaluate the expression.
4(5)+7
20 + 7= 20
AB is 27
Finding BC:
Plug in 5 for x and evaluate the expression.
3(5)+4
15+ 4=19
Check your work.
Add the values of AB and BC to make sure they add up to 46, which is AC.
27 + 19 = 46, so this is correct.
The results of a recent survey showed that the average cost to rent a car for a week is $276. If the standard deviation is $60,
find the Z-score for a weekly rental of $423.00?
a. 2.45
B. 4.6
C. 7.05
D. -1.88
The Z-score for a weekly rental is 2.45 which is the correct answer would be option (B).
What is Z -score?A Z-score is defined as the fractional representation of data point to the mean using standard deviations.
Given the average cost to rent a car for a week is $276
And the standard deviation is $60
To determine the Z-score for a weekly rental of $423.00
Here,
ц = 276
σ = 60
X = 423
⇒ z-score = (X-ц )/σ
Substitute the values,
⇒ z-score = (423 - 276)/60
⇒ z-score = 147/60
⇒ z-score = 2.45
Hence, the z-score for a weekly rental is 2.45.
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HURRY IM TAKING A FINAL AND I ONLY HAVE 10 MINS LEFT. PLEASE HELP!!!!!
Answer:
The answer is love
Step-by-step explanation:
Write and solve the expression:
The difference of 27 and 21 times the sum of 17 and 3
Answer:
447
Step-by-step explanation:
What fraction of state legislatures must approve an amendment before it becomes law
Answer:
3/4.
Step-by-step explanation:
The process of amendments to the Constitution of the United States is established and specified in Article V of said regulation. This process can be initiated by Congress or by the state legislatures, and once the amendment is approved by them, the legislatures of at least 3 out of 4 states (75% of the total) must ratify the amendment so that it becomes operative and is inserted into the constitutional text.
Which of the following correctly describes the end behavior of the polynomial
function, f(x) = 2x4 - 3x2 + 2x?
A. The left end goes up and the right end goes down.
B. Both ends go down.
C. Both ends go up.
D. The left end goes down and the right end goes up.
Answer:
both ends go up
Step-by-step explanation:
HELP WILL GIVE BRAINLEST PLZZ HELP
Answer:
number line 4
Step-by-step explanation:
Answer:
fourth option(4) shows point a at -4, point b at -2 1/2 and point d.
opposite point of A is 4
5x-18+8x-10=180 solve for x
Answer:
x mean multiply xd
Step-by-step explanation:
Answer:
x=16
Step-by-step explanation:
11 students in the Environmental club represent 4% of the students in the seventh grade. How many students are in the seventh grade?
Answer:
275
Step-by-step explanation:
The best way to do this is to set it up in this equation:
4/100 = 11/x, in this, the 4 over 100 represents 4% out of 100%. The 11 over x represents the 11 students out of x amount of students. With this equation, you cross multiply to get 4x = 1100. Then you divide both sides by 4 to get x by itself. This will give you x=275
After solving the equation, the total number of students in the 7th grade is 275.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the data mentioned in the question,
Total number of students in the Environmental club = 11
Percentage of students from 7th grade = 4%
Let the total number of students in 7th grade be x
Then, the equation according to the statement will be,
4% of x = 11
So,
x = (11 × 100)/4
x = 275
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Select the correct answer. What is the solution to the equation |5 − x| = 13? A. x = -8 or x = 18 B. x = -18 or x = 8 C. x = 8 D. x = -18
Answer: A) X = -8 or X = 18
Step-by-step explanation:
Since we're dealing with absolute value, there are going to be two different solutions to this equation.
5 - x = 13
-x = 8
x = -8
OR
5 -x = -13 ( the negative is from the absolute value)
-x = - 18
x= 18
The value of x is either -8 or 18 (option A)
What is an equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
Given is an equation, |5-x| = 13
Solving the equation,
|5-x| = 13
When we will remove the modulus, we will get two conditions,
5-x = 13 or 5-x = -13
Solving both one by one,
5-x = 13
x = -8
And,
5-x = -13
x = 18
Hence, the value of x is either -8 or 18
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Find the slope of the line that passes through the points (1,-4) and (3, -1).
Answer:
use cymath it really helps with finding slopes
Step-by-step explanation:
#1. please help me with my math Select All
Answer:
B.) - ⅖ -⁴⁄₃ᵖ and
D.) -⁴⁄₃ᵖ + (- ⅖)
Step-by-step explanation:
-⁴⁄₃ᵖ - ⅖ is equivalent to - ⅖ -⁴⁄₃ᵖ and -⁴⁄₃ᵖ + (- ⅖)
Thus, The answer is - ⅖ -⁴⁄₃ᵖ and -⁴⁄₃ᵖ + (- ⅖)
-TheUnknownScientist
Janice has started a job selling luxury
1 golf carts and was offered an option of 2 differnt pay schedules. OPTION A: $63,000/year OPTION B: $2225/month plus 3.25% commission on the amount of all her sales.
What is the amount of sales he must
reach each month in order for
OPTION B to be the most beneficial
for her?
explain how to find 45% of a number
A-multiply the number by 0.45.
B-Divide the number by 4.5.
C-Divide the number by 45.
D-multiply the number by 4.5.
David is buying a cheese wheel priced at $14 before tax. The store charges 8%, percent sales tax
THE ANSWER IS 15.12
Answer:
15.12
Step-by-step explanation:
14*1.08
15.12
There are 750ml of juice I drank 1/3 and my sister drank 2/5 of the total amount How many ml did my sister and I drink altogether
Create a table for the equation with a y-intercept of 15 and a slope of -5. What is the output when x is -10?
x y
-2
-1
0
1
2
-6 ?
Answer:
The output is 65 when x is -10.
Step-by-step explanation:
y=mx+b is the easiest form to understand visually what the slope and intercept is.
m is the slope and b is the y-intercept. Replace both of these variables respectively with their appropriate values. In this case, the slope (m) is -5 and y-intercept is 15.
Equation looks like this: y=-5x+15
What is the output when x is -10? Replace x with 10, and your output is the y value.
[tex]y=-5(-10)+15\\y=50+15\\y=65[/tex]
Consider a system with sampling rate 52,500 samples per second.
(a) Determinethe maximum frequency of the pre-sampled signal if the system utilizes 18% oversampling.
(b) Determine the percentage oversampling if the maximum frequency from part (a) isincreased by 10%.
Answer:
The answer is "[tex]22,246 \ H_z \ \ and \ \ 7.3\%[/tex]"
Step-by-step explanation:
The sampling rate: [tex](f_s) = 52,500 \ \frac{samples}{sec}[/tex]
In point a:
The sample signal frequency = f
They recognize that the id [tex]\geq[/tex] 2f sampling frequency could be returned to its original signal unless the aliase effect is detected elsewhere, Yet under percentage =18%
[tex]\ sampling \ rate = 2 \times 1.18 \times f[/tex]
[tex]\to f = \frac{52,500}{2 \times 1.18}\\\\[/tex]
[tex]= 22,246 \ h_z[/tex]
In point b:
Maximum 22,242 frequency is increased by [tex]10 \ \%[/tex]
[tex]f_a =22,246 \times 1.1[/tex]
[tex]= 24,470.6\\\\=24,471[/tex]
[tex]\ sampling \ rate= x \times 2 \times 24,2471 \\[/tex]
[tex]x= \frac{52,500}{48,942} \\\\x= 1.073\\\\[/tex]
over sampling percentage [tex]= 7.3 \ \%[/tex]
Convert days to weeks by completing the number sentence. 35 days=
Answer:
5 weeks
Step-by-step explanation:
35 divided by 7 is 5
find angle between u = and v =
Answer:
U= 2i - 1i and V= 3i + ji
Step-by-step explanation:
I hope that is the correct answer
What is 15/60 written as a decimal
Answer:
0.25
Step-by-step explanation:
The fraction [tex]\frac{15}{60}[/tex] ⇒ simplifies to [tex]\frac{1}{4}[/tex], and [tex]\frac{1}{4}[/tex] as a decimal is 0.25
Hope this helps! :)
find the distance between (9,3) and (5,-3) in simplest radical form
Answer:
[tex]d = 2\sqrt{13}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (9, 3)
Point (5, -3)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d.
Substitute [DF]: [tex]d = \sqrt{(5-9)^2+(-3-3)^2}[/tex]Subtract: [tex]d = \sqrt{(-4)^2+(-6)^2}[/tex]Exponents: [tex]d = \sqrt{16+36}[/tex]Add: [tex]d = \sqrt{52}[/tex]Simplify: [tex]d = 2\sqrt{13}[/tex]PLZ HELP!!! BRAINLY GUARANTEED
Which set represents the domain of the function?
{x|x≥3}
{x|x≥−2}
{x|x≥0}
{x|x≥−3}
Write an expression that is equivalent to 5(6 + y)
Answer:
hi
Step-by-step explanation:
Answer:
2(10 + y)
Step-by-step explanation:
There are more like this 6(5 + y)
30 + y
Hope you got it.
The rabbit population in a certain area is 200% of last years population there are 1,100 rabbits this year, how many were there last year?
Answer:
550
Step-by-step explanation:
1100/2=550
(can I get brainliest please)
a) Find the critical numbers of
f
f
(if any).
b) Find the open interval(s) on which the function is increasing/decreasing
c) Apply the First Derivative Test to identify all relative extrema
-24 - (-6) = -24 + 6
True or False.
Answer:
True
Step-by-step explanation:
When you have 2 negative together they will become a positive (5- (-2) = 7)
Answer:
True
Two neg. make a pos.
-24-(-6) would become -24+6=-18
5 students made an A in their Math quiz, 10 students made an B, 6 students made an C,
3 students made a D, and one made an F,
their are 25 students in this class
which are true select all that apply
A. For this math class, 10% of all students received an F
B. for this math class, 6% of all students received a C
C. for this math class 20% of all students received an A
D. the part -to-whole ratio of students who received a B is 10 : 25.
Answer:
I think is C.............
4.875 rounded off to the nearest hundredth
Answer:
4.88
Step-by-step explanation:
Answer:
4.88
Step-by-step explanation:
Which of the ratios below is equivalent
to 5:2? Select all that apply.
A) 6:3
B) 10:25
C) 20:8
D) 10:4
E) 30:12
Answer: C, D, and E
Step-by-step explanation:
5/2 * 4/4 = 20/8
5/2 * 2/2 = 10/4
5/2 * 6/6 = 30/12
Answer:
C,D,E
Step-by-step explanation:
Hope this helps
One house sitter charges $40 a day. Another house sitter charges an initial fee of $100 plus $15 per day. After how many days is the fee charges by the two sitters the same? is it 4, 2, 8, or 16?
Answer:
4
Step-by-step explanation:
40 x 4 = 160
100 + (15 x 4) = 160
15x4=60, btw