Answer:
Anurak has 15 pennies, 6 nickels and 3 dimes.
Step-by-step explanation:
We must have these informations in mind:
1) A penny is a 1-cent coin.
2) A dime is a 10-cent coin.
3) A nickel is a 5-cent coin.
Let be [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] the quantities of pennies, nickels and dimes, respectively. From statement we get that to value in Anurak's pocket is represented by this mathematical expression:
[tex]0.01\cdot x + 0.05 \cdot y + 0.10\cdot z = 0.75[/tex] (Eq. 1)
In addition, we get the following identities:
i) He has three more nickels than dimes
[tex]z + 3 = y[/tex] (Eq. 2)
ii) And five times as many pennies as dimes
[tex]x = 5\cdot z[/tex] (Eq. 3)
The system of linear equations is now reduced: (Eqs. 2, 3) in (Eq. 1)
[tex]0.05\cdot z +0.05\cdot z + 0.15 + 0.10\cdot z = 0.75[/tex]
[tex]0.20\cdot z = 0.60[/tex]
[tex]z = 3[/tex]
The remaining variables are [tex]y = 6[/tex] and [tex]x = 15[/tex].
Anurak has 15 pennies, 6 nickels and 3 dimes.
Answer:
Anurak has 15 pennies, 6 nickels and 3 dimes.
Step-by-step explanation:
Martina and Karina each wrote a number pattern on a strip of paper for each other to figure out. Find the next two numbers in Martina's number pattern. Describe the pattern and explain how you found it. 2, 6, 10, 14, ...
Answer:
18
Step-by-step explanation:
the pattern is adding 4
I need to find the area below!
HELP!
help help help help
Answer:
combine like terms
Step-by-step explanation:
The rose garden’s boundary can easily be turned over to create a mirror image of the garden’s shape. If Vincent reflects the original rose garden across the x-axis, what will the coordinates of the rose garden’s vertices be after the reflection? Use the terms A', B', C', and D'.
Answer: A(3,-6), B(3,-3), C(4,-3), and D(4,-6)
Step-by-step explanation:
Because the rosegarden reflects across the x-axis, the x-coordinates of the vertices with remain the same. However, the sign of the vertices’ y-coordinations will change. The coordinates of the reflective figure will be A(3,-6), B(3,-3), C(4,-3), and D(4,-6).
*edmentum answer*
What is the value of x that satisfies the equation 4/3=x+10/15
Answer:
4/3=x+10/15
x=4/3 - 10/15
x=4/3 - 2/3
x=4-2/3
x=2/3
Create a one-to-one function.
Answer:
f(x)=x
Step-by-step explanation:
that's keeping it simple... ;-)
Please answer ASAP my assigned due tomorrow WORTH 15 POINTS
Answer:
$7.74
Step-by-step explanation:
The school buys 350 books. These books, in total, costed the school $1137.50. The school wants to make a profit of $1500.
For the school to make a profit on its purchase, it needs to earn $1500 more than the price that they paid for the books.
This means that we can add these values together to get the minimum amount that the school needs to earn
[tex]1137.50+1500=2637.50[/tex]
Now that we have the minimum value, we can divide this by 350 in order to find the minimum price for each individual book.
[tex]\frac{2637.50}{350} =7.7357=7.74[/tex]
This means that the school needs to sell these books for at least $7.74
(... This fictional school is selling the books for more than double the price they paid for them...)
help me plz 50 points and ill give brainliest if you answer all
Answer:
11) [tex]2x=-4[/tex]
Divide both sides by 2:
[tex]\frac{2x}{2}=\frac{-4}{2}[/tex]
[tex]x=-2[/tex]
12) [tex]2^3\cdot \:2^1=2^{3+1}=2^4[/tex]
([tex]2^4=16)[/tex] if you wanted the exact value.
13) [tex]-3+10=x[/tex]
Switch sides:
[tex]x=-3+10[/tex]
Rearrange:
[tex]x=10-3[/tex]
[tex]x=7[/tex]
14) [tex]10^2-64[/tex]
[tex]10*10-64[/tex]
[tex]100-64[/tex]
[tex]36[/tex]
15) [tex]\sqrt{100}-5^2[/tex]
[tex]10-5^2[/tex]
[tex]10-5*5[/tex]
[tex]10-25[/tex]
[tex]-15[/tex]
16) [tex]\frac{1}{4}x=-10[/tex]
Multiply both sides by 4:
[tex]4\cdot \frac{1}{4}x=4\left(-10\right)[/tex]
[tex]x=-40[/tex]
17) [tex]\left(2^3\right)^2=2^{3*2}=2^6[/tex]
[tex](2^6=64)[/tex] if you wanted the exact value.
18) [tex]\left(2^3\right)\left(2^2\right)=2^{3+2}=2^5[/tex]
[tex](2^5=32)[/tex] if you wanted the exact value.
Bonus Question:
Terrorist attacks took place against the United States in September 11 2001.
This is named "September 11 attacks" and you can search more about it online.
Answer:
10. x = -2
12. 16
13. x = 7
14. 36
15. -15
16. x = -40
17. 64
18. 32
Friday 9/11 The plane hijackings that struck the World Trade Center, the Pentagon, and a Pennsylvania field killed 2,977 people.
Step-by-step explanation:
Find the product of the complex number and its conjugate. 3 + 3i
18
9 - 9i
0
9 + 9i
Answer:
18 or A
Step-by-step explanation:
a+ai (a-ai)
Maggie's brother is 10 years younger than three times her age. The sum of their ages is 50. How old is Maggie?
Maggie is _____ Years old
Answer:
9
Step-by-step explanation:
Maggie's brother is 8 years younger than twice her age. The sum of their ages is 25.
How old is Maggie?
Maggie is
years old.
Answer:
the sum is 25 not 24?
Step-by-step explanation:
If random variable X has a binomial distribution with n=15 and P(success) =p= 0.6, find the mean of X. That is, find E(X). Round to the whole number. Do not use decimals. Answer:
Answer:
9
Step-by-step explanation:
E(X) = np
E(X) = (15) (0.6)
E(X) = 9
The mean of the X is 9.
What is the mean of the binomial distribution?The mean of a binomial distribution is the expected value (long-run average) of the number of successes in the given number of trials.
Formula for calculating mean of binomial distribution[tex]\mu_{x} = n.p[/tex]
where,
[tex]\mu_{x}[/tex] is the mean of the binomial distribution
n is the number of trials
and, p is the probability of success
According to the given question.
We have
Number of trials, n = 15
Probability of success, p = 0.6
Therefore, the mean of X is given by
[tex]E(X) = 15(0.6)[/tex]
⇒ [tex]E(X) = 9[/tex]
Hence, the mean of the X is 9.
Find out more information about mean of the binomial distribution here:
https://brainly.com/question/15303817
#SPJ3
5.4 inches of snow fell in 3.6 hours. How much snow fell per hour?
Answer:
1.5 per hour.
Step-by-step explanation:
By proportion that is 5.4 / 3.6
= 1.5 per hour.
Ten less than 3 times a number is the same as the number plus 4.
Step-by-step explanation:
10 - 3x = x-4
Collect like terms
10 +4 = x + 3x
14 = 4x
Divide both sides by 4
X = 14
4
= 7
2
= 6 1
2
Or
= 6.5
At a school there are six lessons in a day.
In total, the six lessons last for five hours.
Assume that each lesson lasts the same amount of time.
How many minutes long is the final lesson?
Answer:
the answer is about 50 minutes
Step-by-step explanation:
5 ÷ 6 = .83 which is about 50 minutes so each lesson is about 50mins
Four sisters buy a total of 3 1/2 feet of ribbon . The sisters want to share the ribbon equally how many feet of ribbon will each sister receive? 3/8 ft , 1/4 ft,1/2 ft, 7/8 ft
Answer:
each sister receives (7/8) ft of ribbon
Step-by-step explanation:
Let's start by writing the total amount of ribbon in fraction form:
3 1/2 = 3 + (1/2) = (7/2)
Now, we need to perform the division: (7/2) divided by 4
in order to find how much ribbon each sister gets. We convert the division of fractions into a product to make the operation simpler. This is done by using the reciprocal of the number that divides (in our case the reciprocal of "4" which is: (1/4):
(7/2) divided 4 = (7/2) x (1/4)
and we multiply the fractions obtaining:
(7/8)
So, each sister receives (7/8) ft of ribbon
Write an equation for the parent function y = x^ 2 stretched by a factor of 6 and shifted down 4 units?
Answer:
Translations
y = f (x) + k up k units
y = f (x) - k down k units
y = f (x + h) left h units
y = f (x - h) right h units
Stretches/Shrinks
y = m·f (x) stretch vertically by a factor of m
y = ·f (x) shrink vertically by a factor of m (stretch by
y = f (x) stretch horizonally by a factor of n
y = f (nx) shrink horizontally by a factor of n (stretch by )
Reflections
y = - f (x) reflect over x-axis (over line y = 0)
y = f (- x) reflect over y-axis (over line x = 0)
x = f (y) reflect over line y = x
Hope this helps
Step-by-step explanation:
Figure STOP is reflected about the y-axis to obtain figure STO′P: A coordinate plane with two quadrilaterals is shown. Figure STOP has vertices S at negative 2 comma negative 1, T at negative 1 comma negative 4, O at negative 4 comma negative 5, and P at negative 5 comma negative 4. Figure S prime T prime O prime P prime has vertices S prime at 2 comma negative 1, T prime at 1 comma negative 4, P prime at 5 comma negative 4, and O prime at 4 comma negative 5. Which statement best describes the relationship between the two figures? (4 points) The measure of angle S is equal to the measure of angle P′. The measure of angle P is equal to the measure of angle T′. Figure STOP is congruent to figure S′T′O′P′.
Answer:
Figure STOP is congruent to figure S′T′O′P′.
Step-by-step explanation:
I just took the test
Answer:
Figure STOP is congruent to figure S′T′O′P′.
Step-by-step explanation:
Just finished test and got 100%
A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/25 for black, 1/5 for yellow,1/15 for blue, and 1/10 for white. What is the probability of pulling a black or yellow card, written as a reduced fraction?
Step-by-step explanation:
P(black or yellow) = P(black) + P(yellow) − P(black and yellow)
P(black or yellow) = 1/25 + 1/5 − 0
P(black or yellow) = 6/25
The equation A=1250(1.03)^7 is being used to calculate the amount of money in a savings account. What does the 1.03 represent in this equation?
Answer:
The amount of Interest
Step-by-step explanation:
I'm 98% sure. It make sense because that how much interest ^7 you would multiply by 1250. And I've had questions like this. Hope this helps!
Can someone Identify the terms and coefficients;
8x-20y-10
Answer:
cooeficients are + 8,20 and 10
terms are x and y
A bus makes a stop at 2:30 letting off 12 people
What's the question?
you can afford a $250 per month car payment. you've found a 3 year loan at 2% interest . how big of a loan can you afford
Answer:
interest = 250
time = 3 years
rate = 2%
we know
P = I*100/(R*T)
= 250*100/6
=4166.67
Step-by-step explanation:
2. In a survey of 1000 citizens in Seattle, Washington, 570 said they would pay higher prices in order to reduce greenhouse emissions. City planners conclude that between 55-59% of all Seattle citizens would do so.
a. What is the sample here? And what is the population? (1pts)
b. Is this a descriptive or a statistical inference? Why?
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Selected = 1000[/tex]
(a): Samples & Population
The samples are the selected data from an overall population.
In this case, the samples are the selected citizens in Seattle, Washington
Since 1000 citizens were selected
[tex]Samples = 1000[/tex]
Also, since the samples were selected from citizens in Seattle, Washington
Then the population are the citizens in Seattle, Washington
(b): Type of Statistics
From the question, we observe that the data was used to conclude that between 55% and 59% of the population would pay higher price.
This type of statistics is referred to as the inferential statistics.
rachel is setting up for her birthday . rachel wants to put the same number of chairs around each table . how many chairs will rachel place around each table at her birthday party ?
choices
3
4
5
6
Answer:
6 chairs around each table
Step-by-step explanation:
just did it
Please help please help
Answer:
1/9 is the correct answer Hope this helps!!
Step-by-step explanation:
Answer:
1/9 or .111111111111111
Step-by-step explanation:
I bought three pencils costing 18 cents each. how much change did I get from $1
Answer:
15 pencils
Step-by-step explanation:
18c/3
x/1
cross multiply then divide
Answer:
46 cents
Step-by-step explanation:
18 x 3 = 54
100 - 54 = 46
Find the intercepts of the equation.
4x + 7y = - 84
To find the x and y intercepts, we have to plug 0 into x and y respectively.
4(0) + 7y = -84
Simplify.
7y = -84
Divide both sides by 7
y = -12
The y-intercept = (0, -12)
4x + 7(0) = -84
Simplify.
4x = -84
Divide both sides by 4
x = -21
The x-intercept = (-21, 0)
Which of the following can not be used to express the number 8?
eight below zero
positive eight
+8
eight more than zero
Answer:
A positive number or a number that is greater than zero
Step-by-step explanation:
Find x so the distance between the points (x,2) and (-1,-2) is [tex]2\sqrt{5}[/tex]
x =_____ , ______
Answer:
x = -5 , 3
Step-by-step explanation:
(x₁ , y₁) = (-1, -2) & (x₂, y₂) = (x , 2)
[tex]Distance =\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\\\\sqrt{(x - [-1])^{2}+(2-[-2])^{2}}=2\sqrt{5}\\\\\sqrt{(x+1)^{2}+(2+2)^{2}}=2\sqrt{5}\\\\\sqrt{(x)^{2}+2x+1+(4)^{2}}=2\sqrt{5}\\\\\sqrt{x^{2}+2x+1+4}=2\sqrt{5}\\\\\sqrt{x^{2}+2x+5}=2\sqrt{5}[/tex]
Take square both sides,
x² + 2x + 5 = (2)²(√5)² {(√5)² = √5*√5 = 5 }
x² + 2x +5 = 4 * 5
x² + 2x + 5 = 20
x² + 2x + 5 - 20 = 0
x² + 2x -15 = 0
x² + 5x - 3x - 5*3 = 0
x(x + 5) -3(x + 5)=0
(x + 5)(x - 3) = 0
x + 5 = 0 ; x - 3 = 0
x = -5 ; x = 3
x = -5 , 3