Answer:
Y equals -1/5
Answer:
y = -0.2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
[tex]\frac{3.6}{0.2(6y + 1)} =\frac{9}{0.5y}[/tex]
Step 2: Solve for y
Distribute 0.2: [tex]\frac{3.6}{1.2y + 0.2} =\frac{9}{0.5y}[/tex]Cross-multiply: [tex]9(1.2y + 0.2) =3.6(0.5y)}[/tex]Distribute: [tex]10.8y + 1.8 =1.8y[/tex]Subtract 1.8y on both sides: [tex]9y + 1.8 =0[/tex]Subtract 1.8 on both sides: [tex]9y = -1.8[/tex]Divide both sides by 9: [tex]y = -0.2[/tex]Step 3: Check
Plug in y to verify it's a solution.
Substitute: [tex]\frac{3.6}{0.2(6(-0.2) + 1)} =\frac{9}{0.5(-0.2)}[/tex]Multiply: [tex]\frac{3.6}{0.2(-1.2 + 1)} =\frac{9}{-0.1}[/tex]Add: [tex]\frac{3.6}{0.2(-0.2)} =\frac{9}{-0.1}[/tex]Multiply: [tex]\frac{3.6}{-0.04} =\frac{9}{-0.1}[/tex]Divide: [tex]-90=-90[/tex]Here we see that -90 does indeed equal -90. ∴ y = -0.2 is indeed a solution of the equation.
john bikes at a speed of 10 miles per hour
the route john took yesterday took him 1.5 hours how long was the route
Answer:
15 miles
Step-by-step explanation:
10x1.5=15
Answer:
15 miles
Step-by-step explanation:
Distance = Speed x Time
= 10 mph x 1.5 h
n Huda evaluated the expression below. -3(8-5)--(-7) -3(3)- - (-7) -3(9)-(-7) 27-(-7) What was Huda's error? Huda evaluated (3) 2 incorrectly. 0 Huda found the product of -3 and 9 as positive. Huda subtracted -7 from 27 incorrectly. Huda did not follow the order of operations.
Answer:
B
Step-by-step explanation:
What is the product of 6 and one-half and 9 and one-fourth? 15 and three-fourths 54 and StartFraction 1 Over 8 EndFraction 60 and StartFraction 1 Over 8 EndFraction 80 and StartFraction 1 Over 6 EndFraction
Answer:
(B) 54 1/8
6×9
In 2020, a town was recorded as having a population of 10,000 and is predicted to grow at 5% every year. What will be the population in 2035, to the nearest whole number? *
Answer:
20789
Step-by-step explanation:
The equation of exponential growth is y=A(1+r)^t
A=10,000
r (rate)=0.05 (5% as a decimal)
t (time)=15 (2035-2020=15)
y=10,000(1+0.05)^15
y=20789.2817
you can't have part of a person, so y=20789
What is the eighth term of the sequence that begins with 1, 3, 7, 13, 21, ... ?
31 because it is adding 2 to each number
A person receives a paycheck of d dollars. The person spends 18% of the
paycheck on rent, 15% of the paycheck on insurance, and 22% of the paycheck
on food and puts the remainder of the paycheck into savings.
If the amount the person puts into savings can be
represented by the
expression d - 0.18d - 0.15d - 0.22d, which expression also represents the
amount the person puts into savings?
O 0.45d
O 0.550
O 1.450
O 1.550
Answer:
0.45d
Step-by-step explanation:
Given that :
Amount of paycheck = d
Amount spent on rent = 18%
Amount spent on insurance = 15%
Amount spent on food = 22%
Amount put into savings = d - 0.18d - 0.15d - 0.22d
Amount put into savings = d - ( 0.18d + 0.15d + 0.22d)
d - 0.55d
Amount put into savings = 0.45d
Understanding Elevation
Death Valley, Califomia, has an elevation of -282 feet What does this mean?
It is 282 feet above sea level
It is 282 feet below sea level.
It is - 282 feet above sea level
Itis - 282 feet below sea level
Answer:
Step-by-step explanation:
if it has a negative elevation of 282 feet than its below sea level by 282 feet if its 282 feet above with no negative than its 282 feet above sea level i hope this helped
Answer:
hi the answer is b)It is 282 feet below sea level.\
have a nice day!
Step-by-step explanation:
mark me brainliest?
HELP ME!
CHOOSE CORRECT ANSWERS!
A chorus teacher is arranging students on bleachers for a performance. The 1st row of the bleachers has 10 students, the 2nd row has 14 students, the 3rd row has 18
students, and the 4th row has 22 students.
Assuming the trend continues, how many students will be on the 6th row of the bleachers?
Assuming the trend continues, there will be 30 students on the 6th row of the bleachers.
According to the question,
We have the following details:
Number of students in 1st row = 10
Number of students in 2nd row = 14
Number of students in 3rd row = 18
Number of students in 4th row = 22
Now, if we carefully observe the arrangement made by the chorus teacher, we will observe that the arrangement has a pattern.
It is to be noted that with each row 4 students are increasing.
For example, in 2nd row the number of students is 14 (4 more than the previous row), in 3rd row the number of students is 18 (4 more than the previous row), etc.
Now, we have to find the number of students in 6th row. So, first we need to find the number of students in 5th row.
Number of students in 5th row = number of students in 4th row + 4
Number of students in 5th row = 22+4
Number of students in 5th row = 26
Now,
Number of students in 6th row = number of students in 5th row + 4
Number of students in 6th row = 26+4
Number of students in 6th row = 30
Hence, there are 30 students on the 6th row of the bleachers.
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Work out the value of the expression 2(a +5b) when a=4 and b=3
Answer:
38
Step-by-step explanation:
2(4+5(3))
2(4+15)
2(19)
38
Answer:
38
Step-by-step explanation:
2(4+5*3)
2(4+15)
2(19)
38
find the range value of x which satistfy inequality (x + 2)² > 2x + 7
Answer:
the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]
Step-by-step explanation:
We need to find the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex]
Solving:
[tex](x + 2)^2 > 2x + 7[/tex]
Using formula: [tex](a+b)^2=a^2+2ab+b^2[/tex]
[tex]x^2+4x+4>2x+7\\x^2+4x+4-2x-7>0\\x^2+4x-2x+4-7>0\\x^2+2x-3>0[/tex]
Now factoring the term: [tex]x^2+2x-3>0[/tex]
Breaking the middle term: 2x= 3x-x
[tex]x^2+2x-3>0\\x^2+3x-x-3>0\\x(x+3)-1(x+3)>0\\(x-1)(x+3)>0\\x-1>0 \ or \ x+3>0\\x>1 \ or \ x<-3[/tex]
So, the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]
Please help me out with those questions...
Answer:
D
Step-by-step explanation:
Two sales representatives leave from the same office. One travels 20 miles due north and the other travels 5 miles due west. How far apart are the sales representatives? Estimate the distance to the nearest tenth. 22.6 mi 16.4 mi 20.6 mi 11.8 mi
Answer:
d = 20.6 miles
Step-by-step explanation:
Given that,
Two sales representatives leave from the same office. One travels 20 miles due north and the other travels 5 miles due west.
It is required to find the distance between two representatives. It it is d. It can be calculated as the resultant if two values as follows :
[tex]d=\sqrt{20^2+5^2} \\\\=20.61\ mi[/tex]
So, the sales representative are 20.6 miles apart. Hence, the correct option is (c).
Three times a number increased by 8 is no more than the number decreased by 4. Find the number.
Answer:
(-oo, -6]Step-by-step explanation:
Let the number be x
3x + 8 ≤ x - 43x - x ≤ -4 - 82x ≤ -12x ≤ -6x = (-oo, -6]what would the value of X be on this one?
Answer:
i think it's 51 because if you add 106 and 23 together it's 129 then 180-129= 51
Step-by-step explanation:
I need this last one I would give all my pints bcz I don’t understand it
the one dot by itself is 6,-5 and the line that is pink with two black dots are the slope-intercept of the equation y=3/4x-2 and theirs the answer copy and paste my image and quote to answer the question.
please help, i need to know this answer!!
Answer:
It is d
Step-by-step explanation:
find the area of the regular polygon
Answer:
433.4
Step-by-step explanation:
Height will be (14/2)/tan36 which is 9.63, then area for one triangle is 1/2*hb which is .5*9.63*7 is 43.34, times 10 you get 433.4
I ONLY HAVE 5 MIN TO ANSWER PLEASE HELP ME !!!!!!!!!!!
How do you determine which values to multiply when you apply the distributive property?
WILL MARK BRAINLIEST!!!
A two column table with 5 rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, negative 8, negative 2, 4, 10. Fill in the blanks to write an equation in slope-intercept form representing the function shown in the table. y = x +
Answer:
The correct answer is y = 3x + 1.
Step-by-step explanation:
I did the assignment, and it was correct. Hope it helps!
Answer:
y=3x + 1
Step-by-step explanation:
I got it right on the assignment and plus im smart
If Lily got 18 questions right on a 20 questions
test, what percentage of the questions did she
get wrong?
Answer:
She got 10% of the questions wrong !
Step-by-step explanation:
To solve this problem I used cross multiplication
[tex]\frac{x}{100}= \frac{18}{20}[/tex]
18 x 100 =1800
1800 / 20 = 90
Since they are asking what she got wrong, not what she got right, you just need to subtract.
100% - 90% = 10%
hope this helped !
Answer:
10%
Step-by-step explanation:
18/20 Questions = 0.9 or 90% she got right
2/20 Questions = 0.1 or 10% she got wrong
5x <10 what is the answer? Soo easy
Answer:
The answer is x<2
Step-by-step explanation:
First, divide both sides by 5
5x/5 < 10/5
x<10/5
x<2
What is the greatest common factor of 14, 51 ,21
Answer:
The answer is 1
Step-by-step explanation:
14 = 2 × 7
51 = 3 × 17
21 = 3 × 7
verifying identity plz help!
Sin(x+y) sin(x-y)=sin²x-sin²y
Answer:
Step-by-step explanation:
sin(x+y) = sin(x)cos(y) + sin(y)cos(x)
sin(x-y) = sin(x)cos(y) - sin(y)cos(x)
Sin(x+y)sin(x-y) = (sin(x)cos(y) + sin(y)cos(x))(sin(x)cos(y) - sin(y)cos(x))
= sin^2(x)cos^2(y) - sin^2(y)cos^2(x)
= sin^2(x)(1-sin^2(y)) - sin^2(y)(1-sin^2(x))
= sin^2(x) - sin^2(x)sin^2(y) - sin^2(y) + sin^2(x)sin^2(y)
= sin^2(x) - sin^2(y)
So L.H.S=R.H.S
Hence proved
Yooooooo somebody help me...
Answer:
B
Step-by-step explanation:
The vertices of a trapezoid are A(1,2), B(4,4), C(4,0). D(1.6).
Rotate the trapezoid 270 degrees counterclockwise about
the vertex a. What are the coordinates of the image?
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
The question is in the image! Please help if u can its due really soon
Answer:
88°
Step-by-step explanation:
m∠AOB = m∠DOE = 88°
There are 14 boys and 13 girls in a class. Write the ratio of boys
to girls.
Answer
The answer is 14:13
a company sells kites it sells basic and designer kites 2 basic kites and 2 designer kites are 400g 4 basic kites and 1 designer are 440g work out the weight of a basic and a designer kit
Answer:
380g
Step-by-step explanation:
hope this answer will help u
The weight of basic kit is 73.33 g and weight of Designer kit 146.68 g.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
let the weight of basic kit be x and weight of designer kit be y.
The weight of 2 basic kites and 2 designer kites are 400g.
and, the weight of 4 basic kites and 1 designer kites are 440g.
So, the system of equation is
2x + 2y = 400.............(1)
4x + y = 440
y = 440 - 4x.............(2)
Solving equation (1) and (2), we get
2x + 2(440 - 4x) = 400
2x + 880 - 8x = 400
-6x = -440
x = 73.33
and, y= 440 - 4(73.33)
y = 146.68
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After eating dinner at a restaurant, Alex's bill before tax is $78.00. The sales tax rate is 8%. Alex decides to leave a 20% tip for the waiter based on the pre-tax am
Answer:
$99.84Step-by-step explanation:
Step one:
given data
we are told that before tax the bill is pretax= $78
the tax is 8%
and he left 20% of the pretax for the attendant.
Step two:
let us find the amount he paid for eating with tax
=8/100*78
=0.08*78
=$6.24
with tax the meal cost is
= 78+6.24
=$84.24
let us solve for the tip he left (note: it is 20% of the pretax)
=20/100*78
=0.2*100
=$15.6
the tip is $15.6
Step three:
the total amount he paid after eating plus tax and tip is
78+6.24+15.6
=$99.84
Answer:
99.84
Step-by-step explanation: