Travis has hired Charlie and Dora to plant flowers. Dora can plant 150 flowers in the same time it takes Charlie to plant 120 flowers, which can be shown using the following relationship where d and c are the respective rates at which Dora and Charlie can plant flowers:
150 over d equals 120 over c
Also, Dora can plant 18 flowers more per day than Charlie.
How many flowers can Charlie plant per day?
Answer:
72
Step-by-step explanation:
If the rates d and c are flowers per day, we have ...
150/d = 120/c
d -c = 18
__
Multiplying the first equation by cd/30, we have ...
5c = 4d
Multiplying the second equation by 4 gives ...
4d -4c = 72
Adding these equations together, we get ...
5c +4d -4c = 4d +72
Simplifying and subtracting 4d leaves ...
c = 72
Charlie can plant 72 flowers per day.
In a basketball game, Archie made 3/5 of his shots. Which numbered choice has a value that is the same as the ratio Archie made in his game?
Answer:
0.6
Step-by-step explanation:
3/5=0.6
factorise
28q+35
pls help
Answer:
7(4q+5)..................
help pls
solve the equation
4 to the power of 3x ÷ 2 to the power of 4x =32
Answer:
x = 5/2
Step-by-step explanation:
(4^3x)/(2^4x) = 32
(2^6x)/(2^4x) = 32
2^2x = 32
2^2x = 2^5
2x = 5
x = 5/2
Evaluate the expression when x = 8 and y = 1.
x2y
Answer:
1/8
Step-by-step explanation:
I took the test this is it
For the following problem, y varies directly as x If y = 34 when x = 4 , find y when x is 3.
Answer:
Step-by-step explanation: plug in 3 for X and then solve
Give me 5 stars
lost on this a little
Answer:
the answer would be 7/5
Step-by-step explanation:
2 of them would already make a whole, and if you add another one, it's going to be more than just one pitcher of lemonade.
Write 1.96 as a percent and as a fraction,
Let f(x)=x* + 14x and g(x) = 6 - X. Find the domain off f + g. Determine the domain of f + g.
[tex]\begin{cases} f(x) = x^4+14x\\ g(x) = 6-x \end{cases}\qquad \qquad h(x) = f(x) + g(x) \\\\\\ h(x) = (x^4+14x)+(6-x)\implies h(x) = x^4+14x-x+6 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill h(x) = x^4+13x+6~\hfill[/tex]
now, if we graph h(x), Check the picture below, we can see that horizontally the line keeps on moving towards the left, going going and going towards -infinity, and it also keeps on moving towards the right, going going and going towards +infinity, and since the horizontal area used by the function is the domain of it, the domain for h(x) will be (-∞ , +∞).
evaluate f(2) and lim f(x) where f(x)=5x^3+3x+1
PLEASE HELP ME WITH GEOMETRY
What composition of rigid motions maps STR to MNP?
Answer:
first option
Translate seven left followed by mirror over y = 2
Step-by-step explanation:
The solution is Option A.
The translation of triangle MNP to triangle STR is a translation of 7 units to the right and a reflection along R = 2
How does the transformation of a function happen?
The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the triangle be represented as MNP
Now , the transformed triangle be STR
Now , the translation is given as
Step 1 :
The coordinates of triangle is MNP
M = M (-5 , 2 )
N = N ( - 8 , 5 )
P = P ( -2 , 4 )
Now , the translation of 7 units to the right will result in
M' = M' ( 2 , 2 )
N' = N' ( -1 , 5 )
P' = P' ( 5 , 4 )
Step 2 :
The coordinates of the translated triangle M'N'P' is
M' = M' ( 2 , 2 )
N' = N' ( -1 , 5 )
P' = P' ( 5 , 4 )
Now , on reflection of triangle M'N'P' by R = 2 , we get
S = S ( 2 , 2 )
T = T ( -1 , -1 )
R = R ( 5 , 0 )
Hence , the translation of triangle MNP to triangle STR is a translation of 7 units to the right and a reflection along the R = 2
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the number of Significant Figures in 13410000 *
Answer:
hhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
hhhhhhhhhhhh
Answer:
4
Step-by-step explanation:
13410000
Sig Figs4
13410000
Decimals0
Scientific Notation1.341 × 107
E-Notation1.341e+7
Words thirteen million four hundred ten thousand
PLEASE HELP ME!!!!!!
B or D so sorry these ones are confusing written like this.
Gave a lovely weekend.
The wavelength of yellow light in a spectrum is about 0.00002 inches. Which number best approximates this length as a power of 10? O A. 2x 10-5 O B. 2 x 105 O C. -2x 105 O D. 2 x 10-4 SUBMIT help me please fast
Answer:
A
Step-by-step explanation:
You have to move the decimal 5 places to the left to get 2
2x-3y=7 and y=3x-7 how do you solve this using subsitution
[tex]2x-3y = 7~~~....(i)\\\\y = 3x -7~~~....(ii)\\\\\\\text{Substitute}~ y = 3x -7~ \text{in equation (i):}\\\\\\2x-3(3x-7) = 7\\\\\implies 2x -9x + 21 =7\\\\\implies -7x = 7 -21\\\\\implies -7x = -14\\\\\implies x = \dfrac{-14}{-7} = 2\\\\\\\text{Substitute x = 2 in equation (ii):}\\\\y=3(2) -7 = 6 -7 = -1\\\\\\\text{Hence (x,y) =(2,-1)}[/tex]
I’m unsure why I keep getting this wrong
Answer:
the answer is 5
HEY!!^^
have a good day!!^^
thank me later
carryonlearing
Answer:
26/25x^2+25x or x=0,x=-1
Step-by-step explanation:
Simplify:(4x2 - 2x) - (-5x2 - 8x)
Answer 6x+18
Step-by-step explanation:
1 meter is equal to 100 centimeters or 1,000 millimeters. How many millimeters are in 2 meters, 17 millimeters?
Answer:
2,017
Step-by-step explanation: 2 meters= 2,000
So, 2,000+17= 2,017
2017 millimeters are in 2 meters, 17 millimeters as per the given unit conversion rate.
What is Unit conversion?A statement of the connection between units that are used to alter the units of a measured quantity without affecting the value is called a conversion factor. A conversion ratio (or unit factor), if the numerator and denominator have the same value represented in various units, always equals one (1).
Given, 1 meter is equal to 100 centimeters or 1,000 millimeters.
To calculate the total number of millimeters in 2 meters, 17 millimeters.
Since,
millimeters in 1 meter = 1000
Thus,
millimeters in 2 meter = 2000
millimeters in 2 meters, 17 millimeters = 2017
Therefore, there is 2017 mm in 2meteres, 17 mm as per the given unit conversion.
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6. Gloria has 7 yellow pencils. She has 9 red pencils. Which strategy
would NOT help you find 9 -
- 7?
A Make 10
(B
Think Addition
Count to Subtract
My Way
The strategy that won't help her to calculate 9 - 7 is (a) Make 10
The given parameters are:
[tex]Yellow = 7[/tex]
[tex]Red = 9[/tex]
To determine 9 - 7,
She can use addition, as in 9 + (-7)She can subtract directly by countingHowever, she cannot make 10.
This is so, because 9 and 7 are not up to 10
Hence, the strategy that won't help her to calculate 9 - 7 is (a)
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The next two systems do NOT have opposite like terms
Answer:
x = 10
y = 6
Step-by-step explanation:
Multiply second equation with -1 and then add it up with first equation
(-1)*(6x - 7y) = 18
-6x + 7y = -18
6x - 6y - 6x + 7y = 24 - 18 add like terms
y = 6 to find the value of x use this information
6x - 6y = 24 replace y with 6
6x - 6*6 = 24
6x - 36 = 24 add 36 to both sides
6x = 60 divide both sides by 6
x = 10
What is ten times as great as 450?
Answer: The answer is 4,500.
Explanation: 450 x 10 = 4,500.
Ten times as great as 450 is 4500.
We need to find what is ten times as great as 450.
What is multiplication?When we multiply two numbers, the answer is called product. The number of objects in each group is called multiplicand, and the number of such equal groups is called the multiplier.
Multiplication step:
Multiply the multiplicand by each of the numbers of the multiplier, moving from right to left. The units of the product are written below the line.The tens place of each product is added to the next product.Now, ten times as great as 450=10×450=4500
Therefore, ten times as great as 450 is 4500.
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what is an equation of the line that passes through points (4,-8) (-4,2)?
Answer:The equation of the line that passes through the points (–12, –8) and (–17, –16) is y + 16 = 8/5(x + 17). slope = (-16 + 8)/(-17 + 12) = -8/-5 = 8/5 y + 16 = 8/5(x + 17)
Step-by-step explanation:
B(14, 12)
A(-5,-2)
A. Find the midpoint of Segment AB
Adam bought a fish aquarium worth $3,000 in the first week of the year. Its value depreciates by 3% per week. What will the value of the fish aquarium be after 5 weeks?
=0.75 times 3000=2250
If you put $1,000 in a savings account that yields an 7% annual rate of interest that is compounded weekly,
a
how much would that be worth in 25 weeks (round to the nearest dollar)?
(Select the best choice below.)
O A. $1,040
O B. $1,034
O C. $1,043
OD. $1,025
Please show work! Thank you
Answer:
Answer B- 1034
7% annual rate is 70. divide by 52 (total amount of weeks in a year) =1.35. 1.35 × 25=33.75 rounded up 34. 1000+34=1034
Which graph represents (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis-pairs that make the equation y = 2xy=2xy, equals, 2, x true?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
(Choice B)
B
(Choice C)
C
Step-by-step explanation:
The graph has a slope of 0.5 and a y-intercept of 5
The equation is given as:
A linear equation is represented as:
Where m represents the slope, and c represents the y-intercept
So, by comparison:
m = 0.5
c = 5
This means that:
The slope is 0.5, and the y-intercept is 5
Hence, the graph of has a slope of 0.5, and a y-intercept of 5
See attachment for the graph of
A
i know its a because the other kids'answer is wrong.
What is the answer ??
Answer:
first of all take LCM OF THE denominator and solve it as shown
There are 400 bricks used to build a wall that's 15 feet high. How many bricks will be used to build a wall that's 36 feet high?
Solve for x: 5x + 15 = 28
A: 43/5
B: 13/5
C: 13
D: 43
[tex]\mathfrak{5x + 15 = 28} [/tex]
[tex]\mathfrak{5x = 28-15} [/tex]
[tex]\mathfrak{5x = 13} [/tex]
[tex]\boxed{\mathfrak{x = \dfrac{13}{5}}} [/tex] → option B.
[tex]\mathbb{MIREU} [/tex]
Answer:
B
Step-by-step explanation:
The first thing you need to do is,
28 - 15
which is 13.
Now look at the answer choices and multiply them by 5.
It cannot be C or D because it would not fit the equation.
If anyone of them equal 13 then it is the answer.
Now lets try it.
43/5 = 8.6
13/5 = 2.6
8.6 times 5 is way to big so A is not it.
2.6 times 5 is 13.
So it is B.
Question Two :
A discrete random variable X has negative binomial distribution,
with 6 successes required each with probability of success 0.4
Determine the value of ...
a) ...E(X).
b) ... Var( X)
c) ... P ( X = 12).
Using the negative binomial distribution, it is found that:
a) [tex]E(X) = 15[/tex]
b) [tex]Var(X) = 6.67[/tex]
c) [tex]P(X = 12) = 0.0883[/tex]
Negative binomial distribution:
It is the number of trials until q successes of a binomial variable, with p probability of success.
The expected value is:
[tex]E(X) = \frac{q}{p}[/tex]
The variance is:
[tex]Var(X) = \frac{pq}{(1 - p)^2}[/tex]
The probability mass function is:
[tex]P(X = x) = C_{x+q-1,q-1}(1 - p)^xp^q[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, the parameters are: [tex]q = 6, p = 0.4[/tex].
Item a:
[tex]E(X) = \frac{6}{0.4} = 15[/tex]
Item b:
[tex]Var(X) = \frac{6(0.4)}{(1 - 0.4)^2} = 6.67[/tex]
Item c:
[tex]P(X = 12) = C_{17,5}(0.6)^12(0.4)^6 = 0.0883[/tex]
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