Romeo bought a mixture of 20-cent, 35-cent,
and 50-cent valentines. The number of 20-cent
valentines was 1 more than twice the number of
35-cent valentines, and the number of 50-cent
valentines was 2 less than the number of
35-cent ones. If he spent $4.20 all together,
how many valentines of each kind did he buy?
9514 1404 393
Answer:
20-cent: 935-cent: 450-cent: 2Step-by-step explanation:
Let x, y, z represent the numbers of 20-cent, 35-cent, and 50-cent valentines. Then the given relations can be written as ...
x = 1 +2y
z = -2 +y
0.20x +0.35y +0.50z = 4.20
__
Using the first two equations to substitute for x and y in the third equation, we get ...
0.20(1 +2y) +0.35y +0.50(-2 +y) = 4.20
1.25y -0.80 = 4.20 . . . . . simplify
1.25y = 5.00 . . . . . . . . . . add 0.80
y = 4 . . . . . . . . . . . . . . . divide by 1.25
x = 1 +2(4) = 9
z = -2 +4 = 2
Romeo bought 9 20-cent, 4 35-cent, and 2 50-cent valentines.
How do I simplify 2m : 125cm
Step-by-step explanation:
125cm = 1.25m.
2m : 1.25m = 8:5
Please help answering the question
Answer:
I don't know jdjdjdcisveobeobeoxbepxbeoxbwp
A car has been purchased for £5200 and is estimated to have an expected life driving 200,000
miles. At the end of that time its value is estimated to be £200. If the units-of-production
method is used to depreciate the car,
a) What is depreciation cost per mile?
b) What will be book value of the car after it has driven 55000 miles?
Answer:
a) 0.025£ b)3825£
Step-by-step explanation:
a) 5200-200=5000 - of the value will be lost after reaching the milleage of 200000 miles
200000-5000
1-x
200000=5000/x
x=5000/200000= 5/200=1/40=0.025£- the depreciation cost per mile
b)0.025*55000= 1375- the decreasing of the price
5200-1375=3825£- the book value of the car after it has driven 55000 miles
¿How to solve with logarithms?
See image please
Answer:
Step-by-step explanation:
Apply the natural log to both sides we have
[tex](-(2/3)x -1 ) \ln 2 = (3-2x)\ln 3\\-x(2/3)\ln 2 + 2x\ln 3 = 3\ln 3 -\ln 2\\x\left(\frac{-2}{3}\ln 2 +2\ln 3\right)=\ln (27/2)\\x\left(\ln 9 -\ln \sqrt{8}) =\ln(27/2)\\\\x\ln (9/\sqrt{8})=\ln(27/2)\\\\x= \ln(27/2) / \ln(9/\sqrt{8})[/tex]
what is ninety two thousand one hundred seventy
Answer:
92170
I hope it's helps you
Think About the Process The length of a rectangle is twice the width. The area of the rectangle is
54 square units. Notice that you can divide the rectangle into two squares with equal area. How
can you estimate the side length of each square? Estimate the length and width of the rectangle.
+
27
B. Estimate
4
C. Estimate 27.
D. Estimate 54
The rectangle is
(Round to the nearest tenth as needed.)
units long and units wide.
0
vo
(10
More
Enter your answer in the edit fields and then click Check Answer.
Answer:
27
Step-by-step explanation:
14 subtracted from three times a number is -53 find the number
Step-by-step explanation:
let the number
[tex] = x[/tex]
Then:
[tex](3x - 14) = 53 \\ 3x = 53 + 14 \\ 3x = 67 \\ x = 67 \div 3 = 22.33[/tex]
Answer:
[tex]number = x \\ 3x - 14 = - 53 \\ 3x = - 53 + 14 \\ 3x = - 39 \\ x = \frac{ - 39}{3} \\ x = - 13 \\ thank \: you[/tex]
A building is 1 foot from a 7 foot fence that surrounds the property a worker wants to wash a window in the building 10 foot from the ground he plans to place a ladder over the fence so it rest against a building he decides he should place a ladder 7 feet from the fence for stability to the nearest 10th of a foot how long with the latter need to be
Answer:
The guitar's volume was amplified, but it was hard to hear the notes since it was so loud.
What word or phrase is a signal word that a context clue might be nearby to help determine the meaning of "amplified"?
Step-by-step explanation:
If X= 9 and Y = 3, what is XY
Answer:
[tex]x = 9 \\ y = 3 \\ xy = x \times y = 9 \times 3 \\ = 27[/tex]
ABC Company sells a certain product line at an established price of Br 42 per unit The variable cost per unit is Br 36. The fixed cost for the year amounts to Br 540,000 Next year the selling price is to be increased to Br 45perunit. How many units had to be sold at the old established price each year in order to Breakeven
90,000 units of the product has to be sold each year in other to break even.
The old established price = 42 per unit :
The break even unit is the number of units sold such that the net profit = 0
(expenses - income) = 0
The expenses = (Fixed cost + variable cost)
Fixed cost = 540000
Fixed cost = 540000Variable cost per unit = 36
Let the number of units required to break even = x
Expenses = income or revenue
(540000 + 36x) = 42x
540000 + 36x = 42x
540000 = 42x - 36x
540000 = 6x
x = 540000 / 6
x = 90000
Hence, 90,000 units has to be sold at the old established price in other to break even.
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Maggie studied for 2/5 of an
hour. Julie studied for 1/4 of an
hour. How much longer did
Maggie study?
Answer: 3/20
Concept:
When encountering questions that ask for [how much longer A comparing to B], the basic operation would be the value of A subtracted by the value of B.
Solve:
Given information
Maggie study time = 2/5 hours
Julie study time = 1/4 hours
Given expression deducted from the concept
Maggie (study time) - Julie (study time)
Substitute values into the expression
2/5 - 1/4
Find the denominators' Least Common Multiple (LCM)
First five multiples of 5: 5, 10, 15, 20, 25
First five multiples of 4: 4, 8, 12, 16, 20
Since [20] is the first term that appears in both multiples, it would be the LCM of 4 and 5
Convert the fractions to common denominator
2/5 = (2 × 4) / (5 × 4) = 8 / 20
1/4 = (1 × 5) / (4 × 5) = 5 / 20
Simplify by subtraction
=8/20 - 5/20
=(8 - 5) / 20
=[tex]\boxed{\frac{3}{20} }[/tex]
Hope this helps!! :)
Please let me know if you have any questions
f(x)=19x+11 find f(4)
Answer:
87
Step-by-step explanation:
f(x)=19x+11
Let x = 4
f(4) = 19*4 +11
=76 +11
= 87
Answer:
[tex]f(x) = 19x + 11 \\ f(4) = 19 \times 4 + 11 \\ = 76 + 11 \\ = 87 \\ thank \: you[/tex]
In the problem · N = 1, N must be
Answer:
the value of N should be -1
What is 33.83 x 99.21
Simplify and show step by step 30 POINTS!
Step-by-step explanation:
the explanation is in the diagram above
34.8% female doctors 48,200 total female what was the total number of registered doctors
Select all that apply please!
Answer:
x= –4/5 , x= 2
Step-by-step explanation:
5x²-6x-14=-6
5x² –6x –14 +6=0
5x²–6x –8=0
(5x+4)(x-2)=0
x=–4/5
x=2
Hi! I'm happy to help!
To solve this, we simply have to replace x with the given values.
First, we have -14, let's apply that:
(5·(-14²))-(6·(-14))-14=
Now, let's solve (using the order of operations):
(5·(-14²))-(6·(-14))-14=
(5·196)-(6·(-14))-14=
980-(6·(-14))-14=
980-(-84)-14=
980+84-14=
1064-14=
1050=
1050≠-6
Option 1 is incorrect.
Next, let's substitute 14 for x:
(5·14²)-(6·14)-14=
Now, let's solve:
(5·14²)-(6·14)-14=
(5·196)-(6·14)-14=
980-(6·14)-14=
980-84-14=
896-14=
880=
880≠-6
Option 2 is incorrect.
Now, let's substitute -7 for x:
(5·(-7²))-(6·(-7))-14=
Now, let's solve:
(5·(-7²))-(6·(-7))-14=
(5·49)-(6·(-7))-14=
245-(6·(-7))-14=
245-(-42)-14=
245+42-14=
287-14=
273=
273≠-6
Option 3 is incorrect.
Now, let's substitute 7 for x:
(5·7²)-(6·7)-14=
Now, let's solve:
(5·49)-(6·7)-14=
245-(6·7)-14=
245-42-14=
203-14=
189=
189≠-6
Option 4 is incorrect.
Now, let's substitute -2 for x, and solve:
(5·(-2²))-(6·(-2))-14=
(5·4)-(6·(-2))-14=
20-(6·(-2))-14=
20-(-12)-14=
20+12-14=
32-14=
18=
18≠-6
Option 5 is incorrect.
Now, let's substitute 2 for x and solve:
(5·2²)-(6·2)-14=
(5·4)-(6·2)-14=
20-(6·2)-14=
20-12-14=
8-14=
-6=
-6=-6
Option 6 is correct.
Now, let's substitute -1 for x and solve:
(5·(-1²))-(6·(-1))-14=
(5·1)-(6·(-1))-14=
5-(6·(-1))-14=
5-(-6)-14=
5+6-14=
11-14=
-3=
-3≠-6
Option 7 is incorrect.
Now, let's substitute 1 for x and solve:
(5·1²)-(6·1)-14=
5-(6·1)-14=
5-6-14=
-1-14=
-15=
-15≠-6
Option 8 is incorrect.
Now, let's substitute -4/5 for x and solve:
(5·(-4/5²))-(6·(-4/5))-14=
(5·0.64)-(6·(-4/5))-14=
3.2-(6·(-4/5))-14=
3.2-(-4.8)-14=
3.2+4.8-14=
8-14=
-6=
-6=-6
Option 9 is correct.
Now let's substitute 4/5 for x and solve:
(5·4/5²)-(6·4/5)-14=
(5·0.64)-(6·4/5)-14=
3.2-(6·4/5)-14=
3.2-4.8-14=
-1.6-14
-15.6
-15.6≠-6
Option 10 is incorrect.
To summarize, you should pick option 6, and option 9.
I hope this was helpful, keep learning! :D
Given f(x) = 2x+1 and g(x) = 7/4x + 1 what is the value of f(1)-g(-4)
A) -3 B) 3 C) 9 D) -9
Answer:
c)9
Step-by-step explanation:
f(x)=2x+1
f(1)=2(1)+1
f(1)=2+1
f(1)=3
g(x)=7/4 x+1
g(-4)=7/4 (-4)+1
g(-4)=-7+1
g(-4)=-6
f(1)-g(-4)=3-(-6)
=3+6
=9
Note:if you need to ask any question please let me know.If Angle 1 = 26, find the measure of angle 4
Answer:
104
Step-by-step explanation:
The measure of angle 4 for the given parallel lines and angle is equal to 26°.
In the figure the parallel lines and the transversal forms angle 1 , angle 2 , and angle 4.
As per the diagram,
Angle 1 is vertically opposite angle to angle 2.
This implies,
Measure of angle 1 = Measure of angle 2.
Here, Measure of angle 1 = 26 degrees.
⇒ Measure of angle 2 = 26 degrees ( vertically opposite angles)
Now , Angle 2 and angle 4 are corresponding angles.
⇒measure of angle 2 = measure of angle 4
⇒ Measure of angle 4 = 26 degrees.
Therefore, the measure of angle 4 is equal to 26°.
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3. A ball is dropped initially from a height of 1.2 m. The rebound from the floor is 3/5 of the previous height.
(a) Find the height to which the ball rises at the 2nd bounce.
(b) Find the total distance that the ball has travelled when it hits the floor for the tenth time.
(c) Assuming that the ball continues to bounce in the same way indefinitely, find the total distance that the ball travels.
Answer:
Step-by-step explanation:
Let the height above which the ball is released be H
This problem can be tackled using geometric progression.
The nth term of a Geometric progression is given by the above, where n is the term index, a is the first term and the sum for such a progression up to the Nth term is
Answer these questions
Step-by-step explanation:
B)1.supplementary
2.complementary
3complementary
4supplementary
5supplementary
6complementary
C)1.40
2.35
3.63
4.130
Last part of my brothers homework
3.3 to the power of 2
Answer:
10.89
Step-by-step explanation:
3.3 to the power of two is just saying 3.3 squared. which is just multiplying the number by itself.
so 3.3 times 3.3 = 10.89
write all prime numbers from 20 to 50.
Answer:
So, 23, 29, 31, 37, 41, 43 and 47 these are the prime numbers between 20 and 50.
Step-by-step explanation:
plz mark me brainliest
Answer:
So the prime numbers between 20 and 50 are so easy
- 23, 29, 31, 37, 41, 43 and 47
these are the prime numbers between 20 and 50
Step-by-step explanation:
Hope it helps
If two vectors are perpendicular then what is the condition
Answer:
If two vectors are perpendicular, then their dot-product is equal to zero. The cross-product of two vectors is defined to be A×B = (a2_b3 - a3_b2, a3_b1 - a1_b3, a1_b2 - a2*b1). The cross product of two non-parallel vectors is a vector that is perpendicular to both of them.
Step-by-step explanation:
5 thousand is ———————- times as many as 5 hundred
Answer:
Ten
Step-by-step explanation:
5000/500 = 10
Answer: 10 times as many 5 hundreds
Step-by-step explanation: five times five hundreds equals 5,000
People drive on average 15,099 miles per year about how many miles each week is that ?
Answer:
The answer is 2,157
Step-by-step explanation:
15,099÷7=2,157
Find the area of the rectangle.
(3y+1) miles
25 miles
Answer:
Srectangle: (3y+1)*25=75y+25(cm^2)
Step-by-step explanation:
Srectangle= w*L
Andrea has as a jar full of quarters and dimes. Let q=
number of quarters and d= number of dimes. Which of the following expressions can be used to find the total amount of money in Andrea's jar?
a. 3.75q+0.50d
b. 2.50q+1.75d
c. 1.50q+0.50d
d. 0.25q+0.10d
ONLY ANSWER IF YOU KNOW!! STEPS ARE OPTIONAL
Answer:
d. 0.25q+0.10d
Step-by-step explanation:
Because quarters are equivalent to 0.25 and dimes are 10 cents, option d is correct.
The expression to find the total amount of money in Andrea's jar is: 0.25q + 0.10d.
Thus, option (D) is correct.
A quarter is worth $0.25, and the number of quarters is represented by q.
A dime is worth $0.10, and the number of dimes is represented by d.
To calculate the total amount of money, multiply the value of each coin by the respective quantity and sum them up.
So, the expression to find the total amounts is 0.25q + 0.10d
Here, expression accounts for the value of each coin (0.25 for a quarter and 0.10 for a dime) and multiplies it by the corresponding quantity to obtain the total amount of money in dollars.
Thus, option (D) is correct.
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