Answer:
x= 4, 3
The choose (d)
Step-by-step explanation:
x²+12=7x
x²-7x+12=0
(x-3)(x-4)=0
x=3
or x=4
Answer:
D
Step-by-step explanation:
on edge
A tailor had 5000 buttons.He sawed 9 buttons on each shirt and had 2048 buttons left.Then,he sold all shirts at $36 each.find the total amount collected by the tailor?
Answer: $11,808
Step-by-step explanation:
5000 - 2048 = 2952
By subtracting the total number of buttons by the number of buttons left, it can be calculated that the tailor used a total of 2952 buttons.
Each shirt has 9 buttons, therefore the number of shirts can be calculated as:
2952 ÷ 9 = 328.
Since the shirts sold at $36 each and there are 328 shirts made, the total amount can be calculated as $36 · 328 = $11,808
(I hope this is right :\)
The total amount collected by the tailor $11,808.
What is division?Division is the process of splitting a number or an amount into equal parts.
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
A tailor had 5000 buttons.
He sawed 9 buttons on each shirt and had 2048 buttons left.
Then, he sold all shirts at $36 each.
now,
5000 - 2048 = 2952
By subtracting the total number of buttons by the number of buttons left, it can be calculated that the tailor used a total of 2952 buttons.
Each shirt has 9 buttons, therefore the number of shirts can be calculated as:
2952 ÷ 9 = 328.
Since the shirts sold at $36 each and there are 328 shirts made,
the total amount can be calculated as $36 · 328
= $11,808
Hence, the total amount collected by the tailor $11,808.
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If 69 +69 +69 = 69 then what does 69 +69-69= plz help I need it
Answer:
69??
Step-by-step explanation:
.
Answer: It would still be 69.
Step-by-step explanation: When you add the both of the 69's together you would get 138 but when you subtract 69 you end up with 69 so therefore it's still 69.
I need help with my math!!!!!!!
Answer:
B is the answer because the graph is translated 2 down. the translation cannot be included within the radical sign, so it can't be C
Find sin 0. Please and thank you
Answer:
the correct answer is C....I hope
A company that manufactures hair ribbons knows that the number of ribbons it can sell each week, x, is related to the price p per ribbon by the equation below.
x = 1,000 − 100p
At what price should the company sell the ribbons if it wants the weekly revenue to be $1,600? (Remember: The equation for revenue is R = xp.)
p = $ (smaller value)
p = $ (larger value)
Given:
The number of ribbons it can sell each week, x, is related to the price p per ribbon by the equation:
[tex]x=1000-100p[/tex]
To find:
The selling price if the company wants the weekly revenue to be $1,600.
Solution:
We know that the revenue is the product of quantity and price.
[tex]R=xp[/tex]
[tex]R=(1000-100p)p[/tex]
[tex]R=1000p-100p^2[/tex]
We need to find the value of p when the value of R is $1600.
[tex]1600=1000p-100p^2[/tex]
[tex]1600-1000p+100p^2=0[/tex]
[tex]100(16-10p+p^2)=0[/tex]
Divide both sides by 100.
[tex]p^2-10p+16=0[/tex]
Splitting the middle term, we get
[tex]p^2-8p-2p+16=0[/tex]
[tex]p(p-8)-2(p-8)=0[/tex]
[tex](p-8)(p-2)=0[/tex]
Using zero product property, we get
[tex]p-8=0[/tex] or [tex]p-2=0[/tex]
[tex]p=8[/tex] or [tex]p=2[/tex]
Therefore, the smaller value of p is $2 and the larger value of p is $8.
The table represents a function
Which value is an output of the function?
46
f(x)
-2
-6
8
07
7
3
4
1-5
3
-2
-5
12
Answer:
Option (2)
Step-by-step explanation:
From the table attached.
First column is representing the x-values (input values) and second column is representing the value of the function (output values).
For x = -6,
f(x) = 8
For x = 7,
f(x) = 3
For x = 4,
f(x) = -5
For x = 3,
f(x) = -2
For x = -5,
f(x) = 12
Therefore, f(x) = -2 is one of the output values.
Option (2) will be the correct option.
The value that is an output of the function among the options is -2.
What is the output of a function?A function relates an input to an output.
A function relates each element of a set with exactly one element of another set.
Therefore, the output are the dependent variable. They are also called range.
Generally, they are regarded as range, output or dependent variables.
Therefore, the output of the table is f(x) values which includes the following:
83-5-2-12Hence, the output of the function in the option is -2.
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Out of 100 students, 80 passed in Science, 71 passed in Math, 10 failed in both subjects nd 7 did not appear in an examination. Find the number of students who passed in both subjects by representing the above information in a Venn-diagram.
Answer:
68Step-by-step explanation:
Total students = 100Failed and didn't appear = 10 + 7 = 17Total passed = 100 - 17 = 83Passed in Science and in Math = 80 + 71 = 151Passed in both subjects = 151 - 83 = 68The total number of students,
→ 100 students
No. of students were absent & failed,
→ 7 + 10
→ 17 students
No. of students totally passed,
→ 100 - 17
→ 83 students
No. of students passed in Science,
→ 80 students
No. of students passed in Mathematics,
→ 71 students
Then add both science and math,
→ 80 + 71
→ 151 students
No. of students passed in both subjects,
→ 151 - 83
→ 68 students
Therefore, the number of students who passed in both subjects are 68 students.
Maths assignment
a^4-16
Answer:
[tex]a^4-16[/tex]
[tex]\left(a^2\right)^2-4^2[/tex]
[tex]\left(a^2+4\right)\left(a^2-4\right)[/tex]
[tex]=\left(a^2+4\right)\left(a+2\right)\left(a-2\right)[/tex]
------------------------
Hope it helps...
Have a great day!!
Step-by-step explanation:
The difference of squares: a² - b² factors to (a - b) (a + b)
Let x⁴ = (x²)²
Let 16 = 4²
Now by difference of squares x⁴ - 16 factors as (x² - 4)(x² + 4)
The front factor, (x² - 4), can factor by difference of squares again as (x - 2)(x + 2)
Type the correct answer in the box. If necessary, use / for the fraction bar. Marilyn has 10 caramels, 12 mints, and 14 bars of dark chocolate in a bag. She picks three items from the bag without replacement. The exact probability that Marilyn picks a mint, then another mint, and finally a bar of dark chocolate is
Answer: 77 / 1785
Step-by-step explanation:
Number of caramels = 10
Number of mints = 12
Number of dark chocolate = 14
Total number = 36
Since it's without replacement, the exact probability that Marilyn picks a mint, then another mint, and finally a bar of dark chocolate will be:
= 12/36 × 11/35 × 14/34
= 1/3 × 11/35 × 7/17
= 77/1785
What's the answer? Also please tell the steps of the solution.
Answer:
[tex] \rm\displaystyle D) \left (1,3\right)[/tex]
Step-by-step explanation:
well to figure out the point we can consider the following formula:
[tex] \rm\displaystyle \text C(x,y)= \left (\frac{m x_{2} + n x_{1} }{m + n} , \frac{m y_{2} + n y_{1} }{m + n} \right)[/tex]
from the given we acquire that,
[tex](x _{1}, y_{1}) = ( - 1,7)[/tex][tex](x _{2}, y_{2}) = ( 4, - 3)[/tex][tex]m : n = 2 : 3[/tex]therefore substitute:
[tex] \rm\displaystyle \text C(x,y)= \left (\frac{(2) (4)+ 3( - 1) }{2 + 3} , \frac{(2) ( - 3) + (3)(7)}{2 + 3} \right)[/tex]
simplify multiplication:
[tex] \rm\displaystyle \text C(x,y)= \left (\frac{8 - 3 }{2 + 3} , \frac{ - 6+ 21}{2 + 3} \right)[/tex]
simplify:
[tex] \rm\displaystyle \text C(x,y)= \left (\frac{5}{5} , \frac{ 15}{5} \right)[/tex]
simplify division:
[tex] \rm\displaystyle \text C(x,y)= \left (1,3\right)[/tex]
hence our answer is D)
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
Points => (-1, 7) & (4, -3)
Ratio => 2 : 3
(x₁, y₁) = (-1, 7)
(x₂, y₂) = (4, -3)
(m₁, m₂) = (2, 3)
Formula = [tex]\large\left (\frac{m_{1} x_{2} + m_{2} x_{1} }{m_{1} + m_{2}} , \frac{m_{1} y_{2} + m_{2} y_{1} }{m_{1} + m_{2}} \right)[/tex]
Points which divide the line segment
= [tex]( \frac{2 \times 4 + 3 \times - 1}{2 + 3}, \frac{2 \times -3 + 3 \times 7}{2 + 3})[/tex]
[tex] =( \frac{8 - 3}{5} , \frac{ - 6 + 21}{5}) \\ = ( \frac{5}{5} , \frac{15}{5} ) \\ = (1,3)[/tex]
Answer => (1, 3) [option D]
Below are the ages of the employees of a small gift shop in town. Describe the data using the five number summary.
17, 18, 19, 40, 42, 16, 33, 17, 33, 44, 19, 40, 37, 26, 25
helppppp pleaseeeee
median is 26
maximum is 44
minimum is 17
third quartile is 40
first quartile is 18
should be correct but I'm not sure
The median is 26, the maximum value is 44. The minimum value is 17. The third quartile is 40 and first quartile is 18.
What are quartiles?
When we get data that 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 group approximately possessing 25% of the data.
The given data set is;
17, 18, 19, 40, 42, 16, 33, 17, 33, 44, 19, 40, 37, 26, 25
The data using the five-number summary.
The median is 26
The maximum value is 44
The minimum value is 17
The third quartile is 40
The first quartile is 18
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A drawer is filled with 2 black shirts, 7 white shirts, and 11 gray shirts.
One shirt is chosen at random from the drawer. Find the probability that it is not a black shirt.
Write your answer as a fraction in simplest form.
Answer:
Probability of the chosen T-shirt not being black will be equal to 9/10
Step-by-step explanation:
In order to solve this we need to understand that probaility is equal to the number of those outcomes that we want divided by the total number of outcomes. In our case the total number of outcomes is 20 (2 + 7 + 11) which is the total number of T-shirts, and the number of outcomes that are favorable to us is equal to 18 (outcomes without a black T-shirt). Therefor probability of the chosen T-shirt not being black will be equal to...
18/20 = 9/10
Sales tax is 6% using only one term write an expression to represent the discounted price of the phone including tax.
The price of phone is stated, taking the price of the phone as p and the discount on sale as 20%
Answer:
0.848p
Step-by-step explanation:
Price of phone = p
Sales tax = 6%
Discount on sale = 20%
With a 20% discount, the discounted price of the phone will be :
100%p - 20%p = 80%p = 0.8p
The sales tax will increase the price thus ;
0.8p + 6% of 0.8p
0.8p + 0.06 * 0.8p
0.8p + 0.048p
The cost of the phone including tax becomes ; (0.8p + 0.048p) = 0.848p
Two ships P and Q left port at the same time. Q sailed at a bearing of 150 degrees while P sailed on the north side of Q. After a distance of 8km and 10km by P and Q respectively, their distance apart is 12km. Find the bearing of P from R
Answer:
247.18
Step-by-step explanation:
please watch the diagram carefully to see marked areas
According to given situation cosine law in trigonometry identities used
[tex]c^{2}=b^{2} +a^{2} -2abcosx[/tex] to find the bearing angle of P from R is 67 degree.
What is trigonometry identities.If the identities or equations are applicable for all the triangles and not just for right triangles, then they are the triangle identities. These identities will include:
Sine law
Cosine law
Tangent law
According to question,
The angle between RP & RQ.
Using the cosine law
[tex]PQ^{2} = RP^{2} + QR^{2} - 2PR*RQ*cosx\\12^{2}=8^2+10^2-2*8*10cosx\\cosx = \frac{164-144}{160} \\cosx = \frac{20}{160} \\cosx =\frac{1}{8}[/tex]
[tex]x=83[/tex] degree
[tex]150-83=67[/tex]
Hence, the bearing of P from R is 67 degree
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In a geometric sequence, the term a(n+1) can be smaller than the term a(n-)
Answer:
the answer is true
Step-by-step explanation:
the ratio is less than 1
Directions: Graph each equation by using the y-intercept and slope( make sure too show your work)
FIRST QUESTION: y= -2/3x-1
y-intercept=____
Slope:____
Given:
The equation of a linear function is:
[tex]y=-\dfrac{2}{3}x-1[/tex]
To find:
The y-intercept and slope of the given equation, then draw the graph of the equation.
Solution:
Slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept
We have,
[tex]y=-\dfrac{2}{3}x-1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=-\dfrac{2}{3}[/tex]
[tex]b=-1[/tex]
Therefore, the y-intercept is -1 and the slope of the line is [tex]-\dfrac{2}{3}[/tex].
It means the graph intersect the y-axis at point (0,-1) and having slope [tex]-\dfrac{2}{3}[/tex]. So, the graph of the equation is shown below.
PLEASE HELP!!!
Which of the following trigonometric expressions is equivalent to the x-
coordinate of the terminal point
Answer:
im pretty sure its (D)
Step-by-step explanation:
Solve the inequality. 2 + |t + 6| < 12
Answer:
[tex]2 + (t + 6) < 12[/tex]
[tex]2 + t + 6 < 12[/tex]
[tex]t + 8 < 12[/tex]
[tex]t < 12 - 8[/tex]
[tex]t < 8[/tex]
make v the subject of the relation f=vu/v+u
Answer:
v=fu/u-f
Step-by-step explanation:
the answer is explained in the diagram
What is the area of a cross section that is parallel to face BFGC?
Answer: 216cm2
Step-by-step explanation: 36x6
The surface area of the cube shown
For f (x) - 4x +1 and g(x) = ? -5, find (fºg)(4).
[tex](f\circ g)(x)=f(g(x))=4(x^2-5)+1=4x^2-19[/tex]
[tex](f\circ g)(4)=4\cdot4^2-19=64-19=\boxed{45}[/tex]
Hope this helps.
Can someone help me with this math homework please!
Therefore, f(c) = 3c+5
OPTION B is the correct answer
Answer:
(B) f(c) = 3c + 5
Step-by-step explanation:
Since variable "c" is the independent variable, that means in terms of y = mx + b, c would be the variable "x".
So that means to rewrite 6c = 2p - 10, you would solve for p, because p would equal y in the formula.
Use basic algebra to solve for p:
6c = 2p - 10
6c + 10 = 2p
3c + 5 = p
p = 3c + 5 or f(c) = 3c + 5
Hope it helps (●'◡'●)
72/8 divided by 8/7=
(4, -6), (3, -8)
Find midpoint
Can someone help with 13 and 14
Step-by-step explanation:
Question 13 :-
-4c³ . 7d² . 2c -²( -4c ³ - ² ) . 7d² -4c . 7d²-28cd²Question 14 :-
n-⁴ w⁰n-⁴ . 1 n -⁴Answer:
13.) -56cd²
14.) n-⁴
Step-by-step explanation:
Question 13 :- -4c³• 7d² • 2c-²
-4c³• 7d² • 2c-²Calculate the products.
-4•7•2 c³ d²c-²-56c³ d²c-²Multiplying the terms with the same base by adding their exponents.
-56c³-²d²Calculate the exponents.
-56cd²Question 14 :- n-⁴w⁰
n-⁴w⁰Any non - zero expression raised to the power 0 equals 1.
n-⁴ 1Any expression multiplied by 1 remains the same.
n-⁴wo runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. The second runner has $50 in savings and will save $60 each month.
Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money?
112 – 25m + 45 = 50 – 60m
112 + 25 + 45m = 50m + 60
112 + 25 – 45m = –50m + 60
112 + 25m + 45 = 50 + 60m
Answer:
I believe the last answer is correct
Step-by-step explanation:
Both runners are gaining money
Which expression is equivalent to c+c - 7c?
7с
1- 6c
-5c
c- 6
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{Variables by itself with no number with it is understood as an invisible}\\\large\textsf{1}[/tex]
[tex]\huge\textsf{c + c - 7c}[/tex]
[tex]\huge\textsf{= 1c + 1c - 7c}[/tex]
[tex]\huge\text{COMBINE the LIKE TERMS}[/tex]
[tex]\large\textsf{= (1c + 1c - 7c)}[/tex]
[tex]\large\textsf{1c + 1c = \bf 2c}[/tex]
[tex]\large\textsf{= 2c - 7c}[/tex]
[tex]\large\textsf{= \bf -5c}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \underline{Option C. \bf -5c}}}}\huge\checkmarl[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
C+c-7c2c-7c(2-7)C-5CA line has slope 3 and y–intercept 4.
Answer:
1. 4x + y= 3
Step-by-step explanation:
im sure that is the right answer
Andrew lives at an altitude of 135 feet, and his friend Lisa lives at an altitude of -10 feet.
Andrew or Lisa residence is higher than Andrew or Lisa
residence.
Answer:
Andrew's residence is higher
