Answer:
[tex]\mathbf{\dfrac{2b- 1}{2b}}[/tex]
Step-by-step explanation:
[tex]\text{The given equation is:}[/tex]
[tex]\dfrac{a}{b}+ (\dfrac{1}{4} \times \dfrac{1}{b}) = \dfrac{1}{2}[/tex]
[tex]\text{To find:}[/tex]
[tex]\dfrac{1}{2} } \div {\dfrac{a}{b} }[/tex]
[tex]\text{From the given equation:}[/tex]
[tex]\dfrac{a}{b}+ (\dfrac{1}{4b}) = \dfrac{1}{2}[/tex]
[tex]\dfrac{a}{b} = \dfrac{1}{2} - (\dfrac{1}{4b})[/tex]
[tex]\dfrac{a}{b} = \dfrac{4b- 2}{(2) (4b)}[/tex]
[tex]\dfrac{a}{b} = \dfrac{4b- 2}{8b}[/tex]
[tex]\text{Now; the value of}[/tex] [tex]\dfrac{a}{b} \div \dfrac{1}{2}[/tex]
∴
[tex]\implies \dfrac{4b- 2}{8b} \div \dfrac{1}{2}[/tex]
[tex]\implies \dfrac{4b- 2}{8b} \times \dfrac{2}{1}[/tex]
[tex]\implies \dfrac{4b- 2}{4b}[/tex]
[tex]\implies \dfrac{2b- 1}{2b}[/tex]
Your friend Alex has won a scholarship to study abroad. (Congratulations!) Alex has only 8 weeks to earn enough money to buy a plane ticket, and he wants to work at an amusement park over the summer to acheive this goal
What’s the question?
Step-by-step explanation:
?
what is the lcm of 24,30 and 36 ....pls do a step by step
ANYONE KNOW HOW TO SOLVE THIS!!!! PLEASE HELP ME!!! IT IS SOLVING SYSTEM EQUATIONS BY SUBSTITUTING!!
x+8y=20
4x-y=14
Answer:
x=4
y=2
Step-by-step explanation:
x+8y=20
4x−y=14
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
x+8y=20,4x−y=14
Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
x+8y=20
Subtract 8y from both sides of the equation.
x=−8y+20
Substitute −8y+20 for x in the other equation, 4x−y=14.
4(−8y+20)−y=14
Multiply 4 times −8y+20.
−32y+80−y=14
Add −32y to −y.
−33y+80=14
Subtract 80 from both sides of the equation.
−33y=−66
Divide both sides by −33.
y=2
Substitute 2 for y in x=−8y+20. Because the resulting equation contains only one variable, you can solve for x directly.
x=−8×2+20
Multiply −8 times 2.
x=−16+20
Add 20 to −16.
x=4
The system is now solved.
x=4,y=2
Tabo earns k4200 per month. His budget is k2500 for food, k300 for rent, k150 for clothes and k100 for other things. (a) how much does he spend each month ? ( b) how much does he have left to spend each month ?
Answer:
a) K3050 and b) K1150
Step-by-step explanation:
a) Add all his expenditures
i.e: K300+K150+K100
=K3050
b) Subtract the remaining of his spendings from the total
i.e: K4209 - K3050
=K1150
. There are 402 students at Brook Park School. About 24% of the students have attended a different school at some time before. About how many students came to Brook Park from another school?
Given,
out of 402 students 24%have attended a different school at some time before.
= 402×24
1 100
= 201×24
1 50
= 201×12
1 25
=2412
25
=96.48
round to nearest hundredth :3,353
Answer:
3,000
Step-by-step explanation:
Since the next number is less than 5 you round down
Which equation represents a line which is parallel to x=0?
y=5
x=4
x=1/4y
x=−4y
Answer:Answer is A
Step-by-step explanation:
Correct option is
A
6x+2y=15
Given line is y=−3x+4
This is slope intercept form of a line where slope of line is −3.
Since, two lines are parallel When their slopes are equal.
Slope of line is 6x+2y=15
⇒2y=−6x+15
⇒y=−3x+
2
15
is equal to −3
Option A is correct.
Beverly makes wreaths to sell for the fall season. She picked 430 pine cones from the wooded area near her house. If she uses 23 pine cones per wreath, how many wreaths can she make?
Answer:
18.7 wreaths
Step-by-step explanation:
Beverly makes wreaths to sell for the fall season. She picked 430 pine cones from the wooded area near her house. If she uses 23 pine cones per wreath, how many wreaths can she make?
From the above question:
23 pine cones = 1 wreath
430 pine cones = x wreaths
Cross Multiply
23 pine cones × x wreaths = 430 pine cones × 1 wreath
x wreaths = 430 pine cones × 1 wreath/23 pine cones
x wreaths = 18.695652174 wreaths
Approximately = 18.7 wreaths
The total weight of 9 bags of potatoes is 36 kilograms. Each bag weighs the same amount. What is the weight, in grams, of each bag of potatoes? 4 grams 40 grams 400 grams 4,000 grams
Answer:
HELP ME!?
Step-by-step explanation:
help i’ll give brainliest if you give a correct answer
Answer:
48 drops
Step-by-step explanation:
32/8 = 4 x 12 = 48 drops
Answer:
48 drops
Step-by-step explanation:
you see that for every 8 drops of yellow there's 12 drops of red and there ends up being 32 drops of yellow and 32/8=4 so you take 12x4 to get how many drops of red.
I need help with my math homework
PLEASE HELP!! Due today!!
Answer:
Amira, we can tell by looking at the two graphs
Step-by-step explanation:
the blue graph goes through (1,1) while the red graph goes thur (1,3) so because the y component grows by 3 we know K = 3
:)
Help please it’s due soon
Answer:
y = 12,58 unitsStep-by-step explanation:
y = opposite
15 = hypotenuse
θ = 57°
therefore we use sin
sinθ = opposite/hypotenuse
sin57° = y/15
y = 15sin(57°)
y = 12,58 units
_________________
#StayPositive - kexcvi
Plz help will give brainliest!
Answer:
8.7
Step-by-step explanation:
If QRS is dilated by a scale factor of 6 through the origin, which of the following points represent the coordinates of R'?
A.
(-12,-24)
B.
(12,24)
C.
(-24,-12)
D.
(24,12)
Answer:
C
Step-by-step explanation:
The dilated point R' of the given point will be (-12,-24). The correct option is A.
What is dilation?Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
Given that If QRS is dilated by a scale factor of 6 through the origin, the coordinate will be calculated as:-
The dilation factor is 6 then multiply the coordinates of R by 6 to calculate the value of dilated coordinate.
( -2 , -4) ⇒ Dilated ( -2 x 6 , -4 x 6 )
( -2 , -4 ) ⇒ Dilated ( -12, -24 )
Therefore, the dilated point R' of the given point will be (-12,-24). The correct option is A.
To know more about dilation follow
https://brainly.com/question/3457976
#SPJ2
what is 1,000,10023 + 2,733,493,873,663+ 999999999+199999287- 124,345,880,6
Answer:
2733550424166
Step-by-step explanation:
can I get brainliest
help me asap brainliest for correct answer
There are 4 empty brown bags on the table with four extra pieces
of candy sitting outside the box. How many pieces of candy will
be allocated to each bag if there was a total of 36 pieces of candy?
Answer:
it would be 9
Step-by-step explanation:
Mike had a coupon for 20% off the price of a shirt at a certain store. What was the amount of the additional discount Mike received? • On the day he went, the store was also having a sale. • The original price of the shirt was $25.50. • The price after the coupon and the additional discount was $18.36. (A) 7% B) 10% © 27% D 30%
Answer:
7%
Step-by-step explanation:
find the value of the variable and the length of each chord.if necessary, round your answers to the nearest tenth
Answer:
X = 2.4
MN = 7
JL = 7.4
Step-by-step explanation:
help pls will get brainlest
Step-by-step explanation:
the answer to your question is
a
Answer:
54 inches squared.
Step-by-step explanation:
(6*3) + (6*3) + (3*3) + (3*3). The areas of the faces added together. It is basically the perimeter of a 3D shape, except instead of measuring 2D sides, it is 3D shaped faces.
A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees and totaled $411
Answer:
Cost of 1 bushes = a = $9
Cost of 1 tree = b = $73.5
Step-by-step explanation:
Given:
13 bushes and 4 trees cost = $411
Missing;
6 bushes and 2 trees cost = $201
Find:
Value of bushes and tree
Computation:
Cost of 1 bushes = a
Cost of 1 tree = b
So,
13a + 4b = 411 ...........eq1
6a + 2b = 201 ................eq2
From Eq1 and Eq2
Cost of 1 bushes = a = $9
From eq 1
13a + 4b = 411
13(9) + 4b = 411
Cost of 1 tree = b = $73.5
I will mark branliest!
Find the area of the circle below, rounding your answer to the nearest tenth.
Answer:
sorry it blurry the answer is 154cm²
hope that helps
HELP PLEASE! What’s the domain and range?
Answer:
Domain → (-∞, -1)∪(-1, ∞)
Range → (-∞, ∞)
Step-by-step explanation:
Given function is,
[tex]\frac{f(x)}{g(x)}=\frac{x^2+2x-5}{2x+2}[/tex]
This function is not defined when the denominator is zero.
2x + 2 = 0
2x = -2
x = -1
Therefore, x = -1 is not in the domain of this function.
And the domain will be,
(-∞, -1)∪(-1, ∞)
For all values of x (except x = -1) we get some output values (value of [tex]\frac{f(x)}{g(x)}[/tex]).
Therefore, range of the function will be (-∞, ∞).
Last week, the daily low temperatures for a city, in degrees Celsius, were 5, 8, 6, 5, 10, 7, and 1. What was the average low temperature?
degrees Celsius
The radius of a circle is 4 centimeters. What is the area of a sector bounded by a 135 degrees arc?
Answer:
The answer is 0.235619449 rad m.
What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 0?
Answer:
x = 7
Step-by-step explanation:
(7 + 6) - (14 - 1) = 13 - 13 = 0
Answer:
x = 7
Step-by-step explanation:
Using the rules of logarithms
log x - log y = log ([tex]\frac{x}{y}[/tex] )
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
Given
ln(x + 6) - ln(2x - 1) = 0
ln ([tex]\frac{x+6}{2x-1}[/tex] ) = 0
[tex]\frac{x+6}{2x-1}[/tex] = [tex]e^{0}[/tex] = 1 , then
2x - 1 = x + 6 ( subtract x from both sides )
x - 1 = 6 ( add 1 to both sides )
x = 7
what's the answers for this question?
The diameter of a circle is 3.2 centimeters. What is the circle's area?
Use 3.14 for and round your answer to the nearest hundredth.
Answer:
I think 8
Step-by-step explanation:
the absolute value |x-3|<1
Answer:
in kiloliters its 0.0035