Answer:
n = 64
Step-by-step explanation:
3/4n - 8 = 5/8n
-8 = 5/8n - 6/8n
-8 = -1/8n
-n = -64
n = 64
The unknown number is 64.
Important information:
The difference between [tex]\dfrac{3}{4}[/tex] of a number [tex](n)[/tex] and 8 is [tex]\dfrac{5}{8}[/tex] of the number.Linear Equation:[tex]\dfrac{3}{4}[/tex] of a number [tex](n)[/tex] is [tex]\dfrac{3}{4}n[/tex].
Difference between [tex]\dfrac{3}{4}[/tex] of a number [tex](n)[/tex] and 8 is [tex]\dfrac{3}{4}n-8[/tex].
[tex]\dfrac{5}{8}[/tex] of the number is [tex]\dfrac{5}{8}n[/tex].
Using the given information form a linear equation.
[tex]\dfrac{3}{4}n-8=\dfrac{5}{8}n[/tex]
Now, solve the equation.
[tex]\dfrac{3}{4}n-\dfrac{5}{8}n=8[/tex]
[tex]\dfrac{6n-5n}{8}=8[/tex]
[tex]\dfrac{n}{8}=8[/tex]
Multiply both sides by 8.
[tex]n=64[/tex]
Therefore, the unknown number is 64.
Find out more about 'Linear Equation' here:
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1. The temperature in Hawaii on Thursday was 85°F. The temperature in Colorado on Thursday was
5°F. Which expression(s) represent this situation using the absolute value of the difference
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that the temperature in Hawaii on Thursday was 85°F while thee temperature in Colorado on Thursday was 5°F.
The expression(s) that represent this situation using the absolute value of the difference will be:
= 85°F - 5°F
= 80°F
What is the slope of the line passing through the points (3,5) and (-1,7)?
-1/2
To find the slope of the line between two points, we use the equation (y2-y1)/(x2-x1)
Substitute the values given for the xs and ys:
(7-5)/(-1-3)
2/(-4)
simplify: -1/2
A shop sells packs of black pens, packs of red pens and packs of green pens.
There are
2 pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday, the ratio of number of packs of pens sold was Black : Red : Green = 7 : 3 : 4
A total of 212 pens were sold.
Work out the number of green pens sold.
Answer:
The number of green pens sold are 96 green pens
Step-by-step explanation:
The given parameters for the packs of pens sold by the shop are;
The number of pens in each pack of black pens = 2 pens
The number of pens in each pack of red pens = 5 pens
The number of pens in each pack of green pens = 6 pens
The ratio of number of packs of pens sold Black : Red : Green = 7 : 3 : 4
The total number of pens sold = 212
Let 'x' represent the number of packs of pens sold
Therefore, the fraction of the packs the pens sold that are black pens = 7/(7 + 3 + 4) = 7/14 = 1/2
∴ 1/2 of the number of packs of pen sold = packs black pens = x/2
The fraction of the packs the pens sold that are red pens = 3/14
∴ 3/14 of the number of packs of pen sold = packs of red pens = 3·x/14
Similarly, we have;
The fraction of the packs the pens sold that are green pens = 4/14 = 2/7
∴ 2/7 of the number of packs of pen sold = packs of green pens = 2·x/7
Therefore, we have;
x/2 × 2 + 3·x/14 × 5 + 2·x/7 × 6 = 212
Where;
x/2 × 2 = The number of black pens sold
3·x/14 × 5 = The number of red pens sold
2·x/7 × 6 = The number of green pens sold
∴ 53·x/14 = 212
x = 212 × 14/53 = 56
∴ The number of packs of pens sold = x = 56 packs
The number of green pens sold = 2·x/7 × 6 = 2 × 56/7 × 6 = 96
The number of green pens sold = 96 pens.
Tashara has x number of baseball cards. Larry has 5 more than 2 times this number. Which expression represents the number of cards larry has?
Answer:
2x +5....................
The expression 2x + 5 represents the number of cards larry has.
What is an expression?An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.
For example 3x +5y
The constraint of expression is represented as = or <, >.
Given that,
Tashara has x number of baseball cards.
And,
Larry has 5 more than 2 times x
So,
Larry has = 2(x) + 5
Hence "The expression 2x + 5 represents the number of cards larry has".
To learn more about expression,
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If y varies directly as x, and y =-4 when x=8, find y when x=3
Answer: Another way of looking at it!
y
=
10
Explanation:
This is a ratio question in disguise.
By parts of the question:
"When y varies directly with x"
→
y
x
"
"if y=8 when x=4"
→
.
.
y
x
=
8
4
"how do you find y when x=5"
→
y
x
=
8
4
=
y
5
so
y
=
8
×
5
4
=
10
This is the same thing as using 'k' in the other solution
Step-by-step explanation:
You can buy 5 cans of beans at the Village Market for $3.20. You can buy 10 of the same cans of beans at Sam’s Club for $7.30. Which place is the better buy?
Answer:
Village Market
Step-by-step explanation:
3.20÷5=.64
7.30÷10=.73
John is fixing the roof and needs to know how tall of a ladder he needs. The house is 23 feet tall and he wants to place the ladder 4 feet away from the house. How tall of a ladder will he need to reach the top?
Answer:
27 is the answer
Plz help
I only need B
A natural history museum surveyed the people visiting the museum for one month and
created a circle graph to show the age of the visitors for that month.
a. Find the number of degrees for each part of the museum visitors graph. (8 points)
Age 18 and under:
Age 19 – 44:
Age 45 – 64:
Age 65 and over:
b. If 5000 people visited the museum during the month the survey was taken, how
many visitors were there for each age group? (8 points)
Age 18 and under:
Age 19 – 44:
Age 45 – 64:
Age 65 and over:
Answer:
19-44.
Step-by-step explanation:
I simply looked up the answer with a calculator.
Answer:
Age 18 and under: 175
Age 19 - 44: 1,750
Age 45 - 64: 1,500
Age 65 and over: 1,000
Step-by-step explanation:
I asked my mom and she kept roasting me :( So I kinda figured it out
For the figure shown on the right, find m<1 (I used someone else’s picture)
HELP HELP HELP HELP HELP HELP
What is the missing length?
Answer:
as it is rectangular in shape. so the area of the rectangle =length *breadth =5*x=40
x=40/5=8metres
Twenty divided by the difference of seven and three. Numerical expression
Answer:4
Step-by-step explanation:20 divided by(7-3)
since I cant motivate myself to do my work and stop procrastinating.....can someone motivate me?:/
Answer:
take a time lapse video of yourself doing your homework on your phone! this way you won't be able to use your phone bc it will be doing the timelapse, and then after you finish you'll be able to go back and watch it :)
Step-by-step explanation:
Answer:
Make up a random doodle and name it bob.....YOU CAN DO THIS
Step-by-step explanation:
Please help will mark brainliest
Answer: B
Step-by-step explanation: because 2/3 = 0.66666, So 0.66 is greater than 0.6 Hope this helps. pls mark me brainliest :)
How to write two collum proofs
Answer:
When writing your own two-column proof, keep these things in mind:
Number each step.
Start with the given information.
Statements with the same reason can be combined into one step. ...
Draw a picture and mark it with the given information.
You must have a reason for EVERY statement.
Step-by-step explanation:
After a 80% reduction, you purchase a new washing machine on sale for $56.
What was the original price of
the washing machine?
The original price was___
The sum of three consecutive numbers is 60. What is
each number?
Write an equation:
Solve:
The third term in an arithmetic sequence is 9 and the fifth term is 21 . If the first term if a1, which is an equation for the nth term of this sequence?
A:an=6n-9
B:an=14n+6
C:an=6n+14
D:an=9n-6
Answer:
A: an = 6n - 9
Step-by-step explanation:
third term in an arithmetic sequence is 9
a3 = a + 2d
a + 2d = 9
the fifth term is 21
a5 = a + 4d
a + 4d = 21
a + 2d = 9 (1)
a + 4d = 21 (2)
Subtract (1) from (2) to eliminate a
4d - 2d = 21 - 9
2d = 12
d = 12/2
d = 6
Substitute d = 6 into (1)
a + 2d = 9 (1)
a + 2(6) = 9
a + 12 = 9
a = 9 - 12
a = -3
nth term of this sequence = a + (n - 1)d
= -3 + (n - 1)6
= -3 + 6n - 6
= 6n - 9
an = 6n - 9
Select the procedure that can be used to show the converse of the Pythagorean theorem using side lengths chosen from 6 cm, 8 cm, 9 cm, and 13 cm.
A. Knowing that 6^2 + 8^2 = 10^2, draw the 6 cm side and then the 8 cm side with a right angle between them. The 10 cm side will fit to form a right triangle.
B. Knowing that 6^2 + 8^2 > 9^2, draw the 6 cm side and then the 8 cm side with a right angle between them. The 10 cm side will fit to form a right triangle.
C. Knowing that 8^2 + 9^2 does not equal 10^2, draw the 8 cm side, then the 9 cm side with a right angle between them. The 10 cm side will fit to form a right triangle.
D. Knowing that 6^2 + 8^2 = 10^2, draw any two of the side with a right angle between them. The third side will fit to form a right triangle.
Answer:
A. Knowing that 6^2 + 8^2 = 10^2, draw the 6 cm side and then the 8 cm side with a right angle between them. The 10 cm side will fit to form a right triangle.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
credit goes to guy up top
A store pays $557.55 for a gaming system, and marks the price up 40%. What is the retail price?
Answer:
$780.57
Step-by-step explanation:
557.55*1.4 = 780.57
Mandy buys 36 pens, 36 pencils, 36 rulers and 36 pencil cases.
Price list
pens
pencils
rulers
pencil cases
4 for 75p
12 for 42p
6 for £1.10
54p each
What is the total amount of money spent by Mandy?
I
Answer:
£34.05
Step-by-step explanation:
36/4=9
36/12=3
36/6=6
9x0.75=6.75
3x0.42=1.26
6x1.10=6.6
36x0.54=18.44
6.75+1.26+6.6+19.44= £34.05
Could you help me thanks
Answer:
Miles per gallon, 72.9/2.7 =27
Step-by-step explanation:
Need help on this.. First one to answer it correctly gets a BRANLIST
hi ansswer for this quick i will mark u as brainlest
Answer:
Smallest B. 300,000
Larger C. 1,000,002
Largest A. 3,000,000
Step-by-step explanation:
A. 100 × 30,000
= 3,000,000
B. 3 × 100,000
= 300,000
C. 1 million + 2
= 1,000,000 + 2
= 1,000,002
Arrange from smallest to the largest
Smallest B. 300,000
Larger C. 1,000,002
Largest A. 3,000,000
y = 5x − 7 −3x − 2y = −12 solved by substitution please show the work too so i can understand
Answer:
y=3, x=2
Step-by-step explanation:
-3x-2(5x-7)=-12 (substitute y=5x-7)
simplify
{-13x+14=-12\}
isolate x for -13x +14=-12: x=2
for y=5x-7 substitute x=2
simplify y=3
sorry i know this is quite lenghty but i hope this helps :) have a nice day !!
A cube has a surface area of 150
cm squared. Find the side length of the cube in cm.
Answer:
Step-by-step explanation:
6 faces have an area of 150 cm^2
1 face has an area of 150/6 = 25 cm^2
The formula for the area of one face of a cube = s^2 which is the length of a side squared.
s^2 = 25
sqrt(s^2) = sqrt(25)
s = 5
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!
Which of the following is a solution to the equation x3=149 ?
A
x=723
B
x=732
C
x=7−23
23
D
x=7−32
E
This equation has no solution
Answer:
x=5.301459
You have to find the cube root of 149 to isolate the variable.
Answer:
E
Step-by-step explanation:
solve x best aw gets brain
you would equal them both to each other to find the answer of x=32
Answer:
x=32
Step-by-step explanation:
The explanation is in the picture. Whenever you want to check your answer plug that number in.
Write an equation of the line that passes through the point (4,−3) with a slope of 3/2
Answer:
point slope form---(y-0)=3/2(x-6) y-intercept form---y=3/2x-9 standard form---- -3x+2y=-18
Step-by-step explanation:
hope it helps (:
Write the equation of the line, in point-slope form, that passes through the points (-6, -11) and (-2, -3).
Answer:
6 ..........................