2y-(y+6) (-2y)= -3y +1 (-2y) [Subtract both sides by 2y]
(-(y+6))/-1 = (-5y + 1)/-1 [Divide both sides by -1]
y + 6 (-y+1) = 5y - 1 (-y+1) [Subtract both sides by y and add 1 on both sides]
7(/4) = 4y(/4) [Divide both sides by 4]
y = 7/4
(Double check the work)
2(7/4) - ((7/4)+6) = -3(7/4) + 1
3.5 - 7.75 = -5.25 + 1
-4.25 = -4.25 (correct)
how are planes named in geometry
Answer:
Step-by-step explanation:
A plane can be named by a capital letter, often written in script, or by the letters naming three non-collinear points in the plane. For example, the plane in the diagram below could be named either plane ABC or plane P .
Solve the system of equations.
y = 6x
y= x^2 +5
Danielle's text messaging plan costs $8 for the first 550 messages and 15¢ for each additional text message. If she owes $8.60 for text messaging in the month of October, how many text messages did she send that month?
Answer:
Danielle sent 554 text messages that month.
Step-by-step explanation:
In Oct she owed: $8 + 60¢
Because 15¢ = 1 additional message => 60¢ = 4 additional messages
So Danielle sent 550 messages (=$8) and 4 additional messages (= 60¢)
=> She sent: 550 messages + 4 additional messages = 554 messages
Hope this helps!
shola earns #750 every month. if she spends 4/5 of her salary and saves the rest, how much does she save every month?
Answer:
250
Step-by-step explanation:
Amount she earns = 750
amount she spend = ⅘ of 750 = ⅘×750= 600
amount she saves = 750-600
Shola saves $150 every month.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is multiplied by 3, or 2 is added 3 times.
Given:
Shola earns $750 every month.
She spends 4/5 of her salary.
That means,
4/5 of $750.
And 4/5 of $750 = 4/5 x 750
= 4 x 150
= 600
She spends $650 per month.
Saved amount,
= $750 - $600
= $150
Therefore, $150 is her monthly savings.
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First round 0.69 to the nearest tenth.
Answer:
0.69 rounded to the nearest tenth is 0.7
A ladybug crawls around the outside of a rectangle that measures 7.5 cm by 8.5 cm. The ladybug stays exactly 3.9 cm from the rectangle at all times to form a larger figure. What is the area of the new rectangle bound by the path of the bug?
Answer:
185.64 [tex]cm^{2}[/tex]
Step-by-step explanation:
Width =7.5+3.9*2 = 15.3 cm
Length = 8.5+3.9*2=16.3 cm
Big Area = 15.3*16.3 = 249.39 [tex]cm^{2}[/tex]
Small Area = 7.5*8.5 = 63.75 1 [tex]cm^{2}[/tex]
area bounded by the path of the bug = 249.39-63.75 = 185.64 [tex]cm^{2}[/tex]
What is the value of x?
(5x)
(3x+28)
Answer:
14
Step-by-step explanation:
if two sides are the same, their angle will also be the same
therefore
5x=3x+28
5x-3x=28
2x=28
x=14
The value of x in the triangle whose two sides are equal and the measure of angles is (5x)° and (3x + 28)° is 14.
What is expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.
Given:
The measures of the angles are (5x)° and (3x + 28)°,
As given the two sides of the triangle are equal, then the opposite angles will be equal,
Use the above concept and calculate the value of x as shown below,
5x = 3x + 28
Solve the above equation,
5x - 3x = 28 (Transform variable on the left side)
2x = 28
x = 28 / 2
x = 14
Thus, the value of x is 14.
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I have a question here.
9514 1404 393
Answer:
P(F|A) = 35%
Step-by-step explanation:
P(F|A) = P(F&A)/P(A) = 7%/20% = 0.35
P(F|A) = 35%
_____
The given numbers will let you fill in a table for all of the categories of workers. However, it turns out this question can be answered using only the numbers given in the problem statement.
A company makes a profit of $y (in thousand dollars) when it produces x computers,
where y is given by the formula y = a(x - 100)(x - 200) for x 20 If 120
computers are produced, the profit will be $3,200,000.
a) Find the value of a.
b) What is the maximum profit the company can make? At this profit, how many
computers should be produced?
c) If the company targets to make at least $4,800,000, what is the range of the
number of computers to be produced?
Using quadratic function concepts, it is found that:
a) The value of a is -2000.
b) The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.
c) Between 140 and 160 computers need to be produced.
The profit is modeled by:
[tex]y = a(x - 100)(x - 200)[/tex]
Item a:
If 120 computers are produced, the profit will be $3,200,000, hence when [tex]x = 120, y = 3200000[/tex], and this is used to find a.
[tex]y = a(x - 100)(x - 200)[/tex]
[tex]3200000 = a(120 - 100)(120 - 200)[/tex]
[tex]-1600a = 3200000[/tex]
[tex]a = -\frac{3200000}{1600}[/tex]
[tex]a = -2000[/tex]
The value of a is -2000.
Item b:
We first place the quadratic function into standard form, thus:
[tex]y = -2000(x - 100)(x - 200)[/tex]
[tex]y = -2000(x^2 - 300x + 20000)[/tex]
[tex]y = -2000x^2 + 600000x - 40000000[/tex]
Which has coefficients [tex]a = -2000, b = 600000, c = -40000000[/tex].
Then, we have to find the vertex:
[tex]x_V = -\frac{b}{2a} = -\frac{600000}{2(-2000)} = 150[/tex]
[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-40000000) = 40000000000 [/tex]
[tex]y_V = -\frac{\Delta}{4a} = -\frac{40000000000 }{4(-2000)} = 5000000[/tex]
The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.
Item c:
We are working with a concave down parabola, hence the range is between the roots of:
[tex]y = -200x^2 + 600000x - 40000000[/tex]
[tex]4800000 = -200x^2 + 600000x - 40000000[/tex]
[tex]-200x^2 + 600000x - 44800000 = 0[/tex]
The coefficients are [tex]a = -200, b = 600000, c = -44800000[/tex].
Then:
[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-44800000) = 1600000000[/tex]
[tex]x_1 = \frac{-b - \sqrt{Delta}}{2a} = \frac{-600000 - \sqrt{1600000000}}{2(-2000)} = 160[/tex]
[tex]x_2 = \frac{-b + \sqrt{Delta}}{2a} = \frac{-600000 + \sqrt{1600000000}}{2(-2000)} = 140[/tex]
Between 140 and 160 computers need to be produced.
A similar problem is given at https://brainly.com/question/24705734
In the 7th grade, 30% of students wear a medium size shirt. If 93 students wear a medium, how many total students are there in the 7th grade?
Answer:
310
Step-by-step explanation:
Answer:
310
Step-by-step explanation:
is/of = % / 100
[tex]93/x = 30/100[/tex]
93 * 100=9300
9300/30 = 310
[tex]-12t ² + 40t[/tex]
Answer:
1.15
Step-by-step explanation:
tan θ=−4/7, and 270°<θ<360°
θ is in 4th quadrant
sec θ = 8.06 / 7 = 1.15
Bài 4: 350 Cho tam giác ABC nhọn, hai đường cao BD, CE cắt nhau tại H. M là trung điểm của BC. K đối xứng với H qua M. a) Chứng minh tứ giác BHCKlà hình bình hành b) Chứng minh BK LAB và CK AC. c) Gọi 0 là trung điểm của AK. Chứng minh OM IBC d) Gọi N là điểm đối xứng với H qua BC. Chứng minh BNKC là hình thang cần
What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 5 x + 2 y = 14
Answer:
y=-5/2x-8
Step-by-step explanation:
Please mark as brainliest if correct
What type of correlation does the data set display?
х
y
2
13
5 11
7 10
9
8
11
2
A. Negative
O B. No correlation
C. Positive
Answer:
B-NO CORRELATION.....
Can someone answer this
Answer:
Step-by-step explanation:
multiply by 6
4-24x+21=-54x+5
54x-24x=5-4-21
30x=-20
x=-20/30=-2/3
QUIEN MONDA ME AYUDA A SOLUCIONA'
f(x)=(3x-4x)(-8x² + 3x)
POR FAVOR
Answer:
- x(- 8x^2 + 3x)
8x^3 - 3x^2
Every year, the value of an antique vase appreciates by 20% of it's value in the previous year if the value of case was 180000 in 2012, find it's value in 2010.
guys I am giving you 100 POINTS!!!no cheating and I need answer that is 125000 and send me with solution?
and guys I need solution easy mean like percentage decreased or increased that is enough explanation for you all of you and if anybody who is free and can give answer right now so please answer me? i will mark you brainlest ok bye
[tex]\large{\rm{\underline{\underline{Answer:}}}}[/tex]
In Direct formula method:
If the rate of appreciation r, the initial value I, the final value V, and the period of appreciation n, the formula for appreciation is given by:
V = I(1 + r)ⁿ
In our case, we need to work out the value of n which is number of years in between 2010 and 2012.
So, n = 2012 - 2010 = 2 years
Put the values we have:
⇛180000 = I(1.20)² [ Increases 20% every year ]
⇛180000 = 1.44I
⇛I = 180000/1.44
⇛I = 125000
So, in 2010, the value of the vase was $125000
⛱️ Another way of doing it is in the attachment!!
Comparing fractions with different denominators
1. [tex] \frac{2}{3} and \: \frac{5}{6} [/tex]
2. [tex] \frac{3}{4} and \: \frac{2}{3} [/tex]
5. Hamza chopped up
pineapple and gave į to his
mum. He also ate half himself.
How much was left to give to
his dad?
Answer:
depends how much he chopped up
Step-by-step explanation:
Answer:
Nothing
Step-by-step explanation:
"5. Hamza chopped up
pineapple and gave ½ to his
mum. He also ate half himself.
How much was left to give to
his dad?"
1 - 1/2 - 1/2 = 2/2 - 1/2 - 1/2 = 1/2 - 1/2 = 0
Answer: There was nothing left for him.
Bradley is 27 years older than Madison seven years go, the sum of their ages was 59?
Answer:
how old is Madison right then I can't really help u solve it with that little info
Find the scale factor in this proportional.
1/8 = 20/160
Answer: 20
Step-by-step explanation:
A scale factor is simply the ratio between two corresponding units, therefore since the two fractions are set equal to each other, we can divide the numerator by each other. 20/1=20, so the answer is 20.
Find the 19th term for the arithmetic sequence in which the 23rd term is 9 and the 11th term is -75 .
A) -19
B) -27
C) 27
D) 19
Answer:
A) -19
Step-by-step explanation:
Basics first:
An arithmetic sequence progresses with numbers being added or subtracted by a constant value.
After understanding that, as soon as we have any two values of the sequence we can find the constant value which is added or subtracted.
Look:
The 11th term is -75.
12 terms later (23th), the term is 4.
In other words, after "jumping" 12 terms, we went up 84 numbers (75 + 9)
To find the size of each "jump" we just divide the total number variation (84) by the number of jumps (12)
84/12 = 7
Now that we know the size of each jump, we can either jump 4 terms back from the 23rd term or jump 8 terms forward from the 11th term.
I will jump 4 terms back from the 23rd term:
19th term = 23rd term - 4 jumps
19th term = 9 - 4 * 7 //Remember that 7 is the jump size
19th term = 9 - 28
19th term = -19
Answer:
-19
Step-by-step explanation:
I just did the test
HELP
The perimeter of a rectangular pool is 740 yd. If the length is 30 yd less than four times the width, find the length and width.
The length of the rectangular pool is __ yd.
The replacement set for an equation is {8, 9, 12, 18}
The equation is represented by the sentence, "2/3 of a number is 12."
What is the solution set of the equation?
O {8}
O {9}
O {12}
O {18}
Answer:
18
Step-by-step explanation:
The solution set of the equation will be;
⇒ x = 18
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
''2/3 of a number is 12."
Now,
Since, The expression is,
''2/3 of a number is 12."
Let a number = x
So, We can formulate;
⇒ 2/3 of x = 12
⇒ 2/3 × x = 12
⇒ 2x = 12 × 3
⇒ 2x = 36
⇒ x = 36/2
⇒ x = 18
Thus, The solution set of the equation will be;
⇒ x = 18
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What is the value of x? Midsegments of triangles
Hi how u doin ?
[tex] \frac{16}{x + 4} = \frac{1}{2} \\ [/tex]
inverse both sides
[tex] \frac{x + 4}{16} = \frac{2}{1} \\ [/tex]
Multiply both sides by 16
[tex]16 \times \frac{x + 4}{16} = 16 \times 2 \\ [/tex]
[tex]x + 4 = 32[/tex]
Subtract both sides 4
[tex]x + 4 - 4 = 32 - 4[/tex]
[tex]x = 28[/tex]
There u go..... Have a great day ❤
this is just and addition to the great posting below, just supplementing.
keeping in mind that the midsegment of a triangle is half the length of the parallel base/side, Check the picture below.
find the missing side length. giving BRAINLIEST.
Answer:
15 degrees
Step-by-step explanation:
It is a right angle!
61 + 14 = 75
90 - 75 = 15
Hope this helps!!! :))
100 points, Please help!
Answer:
Look if you say 100 points. Give a hundred points. If you want an answer be honest~ and say fifty points
Step-by-step explanation:
1=17
2=97
Answered:
1 = 17
2 = 97
Solve for x and find the measure of each angle
For the triangle formed by vertices (3, 5), (2, 1), and (5, 2), calculate the perimeter. This is what the triangle would look like.
Using the Pythagorean Theorem (2 + 2 = 2), please calculate the perimeter, or the sum of the three sides, of the triangle.
Then, calculate the area by finding the area of the orange rectangle and subtracting the outer rectangles
Answer:
I’m not sure
Step-by-step explanation:
Because I don’t have a brain so I can’t think of what it is. I can’t give you a better explanatio.
Answer:
purrrrrrrfect
Step-by-step explanation:
Decide if each statement is true for all values of x.
Choose Yes or No for each statement.
a. If the distance from 0 to x on a number line is equal to 2, then
-2 + x = 0.
b. If the distance from 0 to x on a number line is less than 2, then
-2 + x is negative.
C.
If the distance from 0 to x on a number line is greater than 2,
then -2 + x is positive.
d. If the distance from 0 to x on a number line is greater than 0,
then -2 + x is positive.
Answer:
a. yes
b. yes
c. yes
d. no
a.
Solve the equation by rearranging
-2 + x = 0
x = 2
b.
If x < 2, x - 2 will always be negative
x - 2 cannot be positive unless you add a number greater than 2, therefore the statement is true
c.
If x > 2, x - 2 will always be positive
d.
If x is only greater than 0, then x - 2 could be positive, negative or 0 depending on if x < 2, x = 2 or if x > 2
These questions can be easily answered through graphing the equation: y = -2 + x, or equivalently, y = x - 2
