Answer: 4 [tex]\frac{7}{8}[/tex] pounds of apples
Step-by-step explanation:
We will subtract the apples used from the original pounds of apples to solve this question. First, I will turn all units into eighths to subtract.
8 1/2 -> 8 4/8
1/2 -> 4/8
3 1/8 -> 3 1/8
Next, I will subtract and simplify as I go.
8 4/8 - 4/8 - 3 1/8
8 - 3 1/8
8 - 3 = 5, 5 - 1/8 = 4 7/8
Marco has 4 7/8 pounds of apples left.
A person invests 7000 dollars in a bank. The bank pays 5.5% interest compounded
monthly. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 13200 dollars?
The time required to get a total amount of $13,200.00 with compounded interest on a principal of $7,000.00 at an interest rate of 5.5% per year and compounded 12 times per year is 11.559 years. (about 11 years 7 months)
Answer:
t = 11.559 years
Compound InterestGiven Data
Principal P= $7000Rate r= 5.5%Final Amount A = $13200Time t = ??(about 11 years 7 months)
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 5.5/100
r = 0.055 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.055/12)] )
t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.0045833333333333)] )
t = 11.559 years
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PLS HELP ASAPPPPP!!!!!
Answer:
first you write number 4,second the frequency you write number 5...for this data
Find the slope of the line that is parallel and perpendicular to the following equation.
y + 4 = -3(x +1)
Answer:
Parallel: -3
Perpendicular: 1/3
Step-by-step explanation:
First I would convert the equation into slope-intercept form to more easily identify the slope:
[tex]y+4=-3x-3\\ y=-3x-7[/tex]
Slope-intercept form is defined as y=mx+b where m is the slope and b is the y-intercept so we can identify the slope of this line as -3.
When a line is parallel to another line, this means that they have the same slope, therefore the slope of the line parallel to the equation is -3.
Perpendicular lines will have slopes that are negative reciprocals of each other, the negative reciprocal of -3 is 1/3; therefore, the slope of the line perpindicular to the equation is 1/3.
Answer:
parallel slope = -3
perpendicular slope: [tex]\sf \bold{\frac{1}{3} }[/tex]
Explanation:
y + 4 = -3(x +1)y + 4 = -3(x) - 3y = -3(x) - 3 - 4y = -3x - 7comparing with y = m(x) + b [ "m" is the slope, "b" is the y-intercept ]
slope: -3y-intercept: -7Parallel/Tangent slope:
m₁ = m₂ (same)
Perpendicular/Normal slope:
m₁ * m₂ = -1 (negatively reciprocal)
⇒ Here parallel slope:
m = -3⇒ Here perpendicular slope:
-3 * m₂ = -1m₂ = -1/-3m₂ = 1/3In the following expression, 6 and -6 are like terms.
6- 6 + 8a
a) True
b) False
Answer:
no there not
Step-by-step explanation:
6 and 6 are like terms because they have no negative sign but -6 and -6 are like terms because they have a negative sign
Simplify the problem below and write in standard
form:
–725 + 8x3 – 6x2 – 10x3 – 9
-7x5
the $120 repair bill included $36
parts and the rest for labor.
hat percent of the bill was for
labor?
Answer:
Step-by-step explanation:
36/120 for parts
x-36/120 is for labour
x = 120
120-36/120
84/120
times by 100 for percent
70%
P,Q and R are points on a circle, centre O, if angle OPQ=36 degree, what is the size of angle PRQ.
Answer:
18
Step-by-step explanation:
an angle subtended by a chord to the center is twice to that subtended by the same chord to the circumference
What is 8 1/3 - 3 1/2?
Answer:
4 5/6
Step-by-step explanation:
Turn both 8 1/3 and 3 1/2 into improper fractions (just to make it less complicated).
8 1/3 = 25/3
3 1/2 = 7/2
Then, try and make the denominators the same by finding the LCD (least common denominator).
The least common denominator of 3 and 2 is 6. Multiply both the denominators (3 and 2) to get 6, multiply the numerator with it as well (I can't explain this part properly, but the fractions will somehow explain).
[tex]\frac{25*2}{3*2}[/tex] = [tex]\frac{50}{6}[/tex]
[tex]\frac{7*3}{2*3}[/tex] = [tex]\frac{21}{6}[/tex]
So, then subtract (50/6 - 21/6).
50/6 - 21/6
= 29/6 = 4 5/6
So, 8 1/3 - 3 1/2 is 4 5/6.
Find the area of this circle. Use 3.14 for a 11 ft The area of the circle is about ft2. (Round to the nearest hundredth as needed.)
Answer:
Area of circle is 379.94 feet²Step-by-step explanation:
Given:
Radius of circle = 11 feetTo Find:
Area of circle.Solution:
Here given that radius of circle is 11 feet. Using the formula of area of circle we will get the required area of circle
Area of circle = πr²On substituting the required values:
Area = 3.14 × (11)²
Area = 3.14 × 121
Area = 379.94 feet²
Hence,
Area of circle is 379.94 feet²Pls Help Choose the correct word to complete the statement: If BC intersects circle A only at point B, and mCBA = 90°, then CB is a
Line CB touches circle A only at one point (point B), hence CB is a tangent.
What is a circle?A circle is the locus of a point such that its distance from a fixed point (center) is always constant.
When a line intersects a circle in exactly one point the line is said to be tangent to the circle
Hence since Line CB touches circle A only at one point (point B), hence CB is a tangent.
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PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Answer:
A.
Mean-103.0625
Median- 8, 9
Mode- 8, 1
B.
They should use the shoe size 6, because it has the most women waering it.
Your Welcome!
Step-by-step explanation:
Mean:-
5+5.5+6+6.5+7+7.5+8+8.5/854/86.9Median:-
Total terms 8
Median =n/2th term +(n/2+1)th term
Median=6.5 and 7Mode:-
No modes
HELP ME: Lee works at a job where her pay varies directly with the number of hours she works. Her pay for 6.5 hours is $49.40. Write a direct variation equation relating Lee’s pay x to the hours worked y. Then find her pay if she works 25 hours in a week. y = 7.6x; $190
Answer: 90$
Step-by-step explanation:
Can anyone please answer the attachment
Answer:
•SEE BELOW•1) NAME OF CIRCLE : CIRCLE ABDE
2) CHORD : SEGMENT DE
3)DIAMETER: SEG DB
4)TANGENT LINE : RAY E
5) SECANT LINE : SEGMENT AB
HOPE IT HELPS!
MARK AS BRAINLIAST.
help me please please with all of them
Step-by-step explanation:
for question one the answer is the intial area of fire
2. is the decay factor
3. 38400
4. the initial population
Which of the following equations represents the problem "The sum of two consecutive integers is -17"?
2x + 2
2x + 1 = -17
2x = -17
Answer:
2x + 1 = -17
Step-by-step explanation:
consecutive integers would be
x and x+1
when you add them together its
2x+1
You took a test and got 12 points on it. The next week, you retook it and got 25% more points than before. How many points did you get when you retook it?
Answer:
15 points
Step-by-step explanation:
12 divied by .25 =3
so there for it would be 15 points
Answer:
The answer is 15 points. Have a great day:)
Trying to finish khan academy. I need to simplify. How do I do it?
Answer:
-5+5k-8k-20
-3k-25
-(3k+25)
Answer:
Step-by-step explanation:
(-5 - -25k) - (8k + 20) =
-(18k - 15)
A right rectangular prisim has a length of 2 1/2 feet a width of 3 feet and a height of 1 1/2 feet. Unit cubes with side lengths of 1/2 foot are added to completely fill the prisim with no space remaining. What is the volume in cubic feet of the right rectangular prisim?
How to find the base of a triangle if your height is 6 inches.
Answer:
Triangle Area = 1/2 x Base Length x Height Example:
How much blue paint did they use in all?
Answer:
2.25 ounces
Explanation:
0 ounces - 1 X2/4 ounces - 3 X3/4 ounces - 1 Xso total used:
0 * 1 + 2/4 * 3 + 3/4 * 10 + 1.5 + 0.752.25HELP ASAP!!!!!!!!!!!!!!!!!!!!
Answer:
0.36
Step-by-step explanation:
0.67 - 0.31 = B
B = 0.36
I hope this helps!
Express as a fraction in the simplest form: 43.5%
a. 435/1000
b. 870/200
c. 87/200
Answer:
C
Step-by-step explanation:
43.5 x 10 = 435
435/1000 = 87/200 (simplified)
Find the surface area. HELP PLEASE!!!!
Answer:
I think the answer is 792
Answer:
SA = 696cm^2
Step-by-step explanation:
First we need to identify the shapes
There are 3 rectangles and 2 triangles
Now the individual surface area for each shape
20 x 10 = 200 (1 rectangle)
1/2(12 x 8) = 48 (1 triangle)
Now we add them together
(200 x 3) + (48 x 2) = 696
find the measures of m and n
Answer:
m=3 n=6
Step-by-step explanation:
top diagonals are congruent
9 = 3m
solve for m
m = 3
bottom diagonals are congruent
m + 8 = 2n -1
plug in 3 for m
3 + 8 = 2n -1
solve for n
11 +1 = 2n
12 = 2n
n=6
Which of the following are identities? Check all that apply.
A. sin(x+y)+ sin(x - y) = 2cos x siny
B. cos(x + y) + cos(x- y) = 2cos x cosy
C. tan(x - 2) = tan x
D. COS(x + y) - cos(x - y) = 2 cos xcosy
Answer:
B. cos(x+y) + cos(x-y)= 2cosx.cosy
Step-by-step explanation:
cos(x+y) + cos(x-y)
= cosx.cosy - sinx.siny + cosx.cosy + sinx.siny
=cosx.cosy + cosx.cosy
=2cosx.cosy
What is the measure of the third angle in a triangle if the sum of the other two angle measures is 110°?
Step-by-step explanation:
the third angle in a triangle= 70
This shows how to copy the triangle, cut the copy into pieces, and form a rectangle.
What is the area of the rectangle?
( ) square millimeters
What is the area of the triangle?
( )square millimeters
The area of the rectangle and triangle are 48 mm² and 24 mm² respectively.
What is an area?The area is the amount of space occupied by a two dimensional shape or object.
Area of rectangle = length * width = 6 mm * 8 mm = 48 mm²
Area of triangle = (1/2) * base * height = 0.5 * 6 * 8 = 24 mm²
The area of the rectangle and triangle are 48 mm² and 24 mm² respectively.
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Sage borrowed $4500 from her parents to buy her a new car. So far she has repaid $2740 How much money does save still owe her parents?
Answer:1760
Step-by-step explanation:you get the money given by the parents minus the money given back to the parents
How do I solve this hmm
Answer:
put the numbers that are x into the equation. you always try to find y in this problem
Step-by-step explanation:
y=x+8
the first x is 0 so we do
y= 0+8
y=8
and you keep repeating this where x=1 and x= 2
(- 18) × (- 5) × (- 4) =
Answer:
−360
Step-by-step explanation: