In a bag, there are a total of 50 dimes and quarters. 40% of the coins are quarters and 35% of the quarters are on heads. How many of the quarters are on tails?
Answer:
13 quarters must be tails.
Step-by-step explanation:
Number of quarters = 40% of 50 coins
Number of quarters = 40/100 * 50 = 20 coins which are quarters.
35% of these 20 quarters on heads. We can proceed in 2 ways from here.
We can actually find the number of quarters that are on heads.
35/100 * 20 = 7 quarters are showing heads.
Since the other quarters must be tails 20 - 7 = 13 quarters must be tails.
The other way to do it is to realize that if 35% of the coins are heads, 65% of the coins must be tails 20 * 65/100 = 13 which is a bit more direct.
Sheila lives in a $95,000 brick home in the country with contents valued at
$15,000. Use the table below to calculate her monthly property insurance
premium.
Annual Premium per $100 of coverage
Brick
Steel
Mixed
Wood
Area
Building Contents Building Contents Building Contents Building Contents
rating
City 0.39 0.43 0.5 0.54 0.55 0 65 0.66 0.76
Suburb 0.45 0.52 0.56 0.63 0.72 0.74 0.83
0.85
Rural 0.6 0.69 0.71 0.8 0.89 0.91 1
1.02
A. $95.00
B. $56.13
C. $173.50
D. $78.65
Her annual property insurance premium is $673.50.
Option A is the correct answer.
What is insurance?Insurance is a means of protection from financial loss in which, in exchange for a fee, a party agrees to compensate another party in the event of a certain loss, damage, or injury. It is a form of risk management, primarily used to hedge against the risk of a contingent or uncertain loss.
here,
We have,
To calculate Sheila annual property insurance premium, we need to determine the appropriate rating based on the type of house and the area where it is located. Aida's house is a brick house in the country,
So we need to use the "Brick" and "Rural" ratings from the table.
The rating for the building is 0.6 per $100 of coverage, so for a value of $95,000, the premium for the building is:
0.6 x $950 = $570
The rating for the contents is 0.69 per $100 of coverage, so for a value of $15,000, the premium for the contents is:
0.69 x $150 = $103.50
The total annual premium is:
$570 + $103.50 = $673.50
Thus,
Her annual property insurance premium is $673.50.
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Give any two (2) reason why addition and subtraction should be taught first.
Answer:
I think they should be taught first so that later on they can use it, and also just in case they forget to know how to multiply or divide they can sorta use addition and subtract for it.
Another reason is that it is easier and since they are teaching it to younger kids it would be helpful to start off a bit easy.
Step-by-step explanation:
I hope it helps, sorry if it doesn’t!
Muffin<3
find the volume and round to the nearest whole number
Answer:
527 cubic meters
Step-by-step explanation:
The area of the cube would be 7.5^3 and the area of the rectangular prism would be 3.75*3.75*7.5. Then it would be 421.9 + 105.5 and rounded to the whole number the answer would be 527
What are the distance and slope formulas answers for the following question?
With an 80% full tank a vehicle can travel 500 kilometers.How far can it travel with a full tank?Give the answer to the nearest kilometer
Answer:
625
Step-by-step explanation:
so we do 500/ 0.6 = 625
100 points!!!
“The revenue equation for a certain brand of toothpaste is y=2.6x, where X is the number of toothpaste sold and y is the income for selling X tubes. Cost equation is y=X+2000, where X is the number of tubes of toothpaste manufactured and y is the cost of producing X tubes. The following set of axis shows the graph of the cost and revenue equations. For what X-values will the company make a profit”
The company will make a profit for X-values: (greater than, less than, or equal to) ____?
Answer:
The revenue equation is y=2.6x,
cost equation is y=x+2000
When the company makes profit only when revenue > cost
Lets frame inequality using revenue > cost
Replace the revenue equation and cost equation
Now solve the inequality for x
Subtract 1x from both sides
Divide both sides by 1.6
The company makes profit when x is greater than 1250
Step-by-step explanation:
Answer:
Greater than 1250
x > 1250
Step-by-step explanation:
Base on the revenue equation and cost equation , we can infer that the company make a profit when x > 1250
Important Given Information:
The revenue equation is [tex]y=2.6x[/tex]
Cost equation is [tex]y = x+2000[/tex]
When the company makes profit only when: [tex]revenue > cost[/tex]
Let's frame inequality using: [tex]revenue > cost[/tex]
Replace the revenue equation and cost equation
[tex]Revenue > Cost: 2.6x > + 2000[/tex]
Now Let's solve the inequality for x
[tex]2.6x > 1x + 2000[/tex]
[tex]2.6x - 1x > 2000[/tex] [tex][2.6x-1x=1.6x][/tex]
[tex]1.6x > 2000[/tex]
Divide both sides by 1.6 ( what you do on one side do to the other)
[tex]\frac{1.6x}{1.6}=\frac{2000}{1.6}[/tex]
[tex]x >1250[/tex]
Hence, the company makes profit when x is greater than 1250
[RevyBreeze]
how do you find the value of pi using the area
Answer:
How to find the area in terms of pi?
Answer: First divide the circumference by Pi to give the diameter of the circle (27 divided by 3.14 = 8.59...). Now halve the diameter to give the radius (8.59 divided by 2 is 4.29...). Now use Pi*r^2 to find the area of the circle (Pi times 4.29^2 = 58.0 cm^2 to 1 decimal place)
Step-by-step explanation:
Algebra A
dations and inequantes
2. Which of the following graphs would represent the solution to y + 2 > 5?
-2 -1 0 1
2 3 4 5 6 7 8 9 10
+++
-109-8-7-6-5-4-3-2-101234 5 6 7 8 910
-2 -1 0 1 2 3 4 5 6 7 8 9 10
-2 -1 0 1 2 3 4 5 6 7 8 9 10
H4
[tex]\\ \tt\longrightarrow y+2>5[/tex]
[tex]\\ \tt\longrightarrow y>5-2[/tex]
[tex]\\ \tt\longrightarrow y>3[/tex]
[tex]\\ \tt\longrightarrow y\in (3,\infty)[/tex]
Graph attached
Answer:
see attached diagram
Step-by-step explanation:
y + 2 > 5
Subtract 2 from both sides:
⇒ y > 3
Graphing inequalities
< or > : dashed line to show that the line is not included in the region.
≤ or ≥ : solid line to show that the line is included in the region.
Draw a horizontal dashed line at y = 3 and shade above the line.
Number line
≤ or ≥ : closed circle
< or > : open circle
Draw an open circle at 3 and shade to the right.
Radhika’s mother gave her some money to buy Papaya from the market at
the rate of p(x) = x² – 12x – 220 per kg.
(i) Find the factors of the given polynomial.
(ii) if she purchase 5kg papaya, what money she have to pay?
Answer:
p ( x ) = ( x- 6 ) ² - 256
Step-by-step explanation:
1- Add the same value to both sides
2- Add 36 to the expression
3- Add 36 to the left-hand side
4- Factor the expression
5- Move the constant to the right
6- Calculate
The factors of the given polynomial is (x-10) (x+22) and the price of 5 kg papaya is 5x²-60x-1100.
What is Polynomial?An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.
Given:
p(x) = x² – 12x – 220
i) These two terms are 22x and -11x.
p(x) = x²-12x-220
p(x) = x²+22x-10x-220
Taking x common from the first two terms and -10 from the last two terms,
x(x+22)-10(x+22)
(x-10) (x+22)
ii) We are given that the rate of papaya per kg is p(x) = x²-12x-220.
1 kg = x²-12x-220
5 kg = 5(x²-12x-220)
5 kg = 5x²-60x-1100
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Identify the equation in slope-intercept form for the line containing the point (0,7) and perpendicular to y=−5/4x+11/4.
Answer:
4/5x + 7
Step-by-step explanation:
the slope-intercept form is y = ax+b
a is the slope, to figure it out the line is perpendicular to y = -5/4x+11/4
There is a rule said if two lines are perpendiculars, the multiplication of their slopes = -1, so -5/4 * a = 1, solve for a = 4/5
b is the intercept to get it use the point (0,7)
so y = 4/5x+b, 7 = 4/5 * 0 + b, then b = 7
Determine whether the given value is a solution of the equation.
Answer:
13 is a solution.
Step-by-step explanation:
[tex]7w = 94 \\ \frac{7w}{7} = \frac{94}{7} \\ w = 13.42 \\ [/tex]
13.42 ≈ 13
Which inequality represents all values of x for which the product below is
defined?
A. x2-2
B. X20
c. xs-2
D. x >0
Answer:
B
Step-by-step explanation:
First you put that then multiply inside of that then you cross over percent than boom there's your awnser your welcome
The inequality that represents all values of x for which the product is defined is x ≥ 0
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Given is an expression, we need to determine the all values of x for which the product is defined,
The product is √4x · √x+2
We must meet both conditions:
(4x) ≥ 0 and (x+2) ≥ 0
So, 4x ≥ 0
x ≥ 0
And, x ≥ -2 [subtract 2 from both sides.]
So, we can say the condition should be x ≥ 0
Hence, the inequality that represents all values of x for which the product is defined is x ≥ 0
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A cook has 5 and 5/8 cups of flour he uses 2/3 on Saturday morning how much flour does he use in saturday morning
Answer:
2/3
this question doesn't make sense
Help asap
Arian wants to save 20% of his paycheck is an a savings account .
A. Write an equation to represent the amount Arian should save , s, from a paycheck in the amount of p dollars .
B. Create a table of value with five different paycheck amounts.
Paycheck amount (p)
saving amount (s)
C. Plot the values in the coordinate plane to show the relationship between the amount Arian saves and the amount Arian earns.
D. Explain how you could use your graph to find how much of a $60 paycheck Arian should put into his savings account.
The equation that represents the amount that Arian should save is S = P x 20 / 100, and she should save $12 in case of earning a $60 paycheck.
EquationsGiven that Arian wants to save 20% of his paycheck is an a savings account, to determine A) an equation to represent the amount Arian should save, S, from a paycheck in the amount of P dollars; B) create a table of value with five different paycheck amounts; and D) find how much of a $60 paycheck Arian should put into his savings account; the following calculations must be made:
A) S = P x 20 / 100B) S = 500 x 20 / 100 = 100S = 1000 x 20 / 100 = 200S = 100 x 20 / 100 = 20S = 50 x 20 / 100 = 10S = 250 x 20 / 100 = 50D) S = 60 x 20 / 100 = 1200 / 100 = 12Therefore, the equation that represents the amount that Arian should save is S = P x 20 / 100, and she should save $12 in case of earning a $60 paycheck.
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Does the 90% confidence interval for the reduction in crime in the preschool group include zero? A. No, the 90% confidence interval for the population proportion is 1.70 1.70 to 4.10 4.10. (Round to two decimal places as needed.) Your answer is not correct.B. Yes, the 90% confidence interval for the population proportion is enter your response here to enter your response here . (Round to two decimal places as needed.) Part 3 Is this important? A. Yes, if zero is included in the confidence interval, then it is possible that there is a difference between the preschool programs. B. No, this is not important because confidence intervals always contain zero. C. No, this is not important because confidence intervals never contain zero. D. Yes, if zero is included in the confidence interval, then it is possible that there is no difference between the preschool progra
felipe deposits $500 into a bank account that pays simple interest at a rate of 2% per year how much interest will be be paid in the first 4 years
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ t=years\dotfill &4 \end{cases} \\\\\\ I=(500)(0.02)(4)\implies I=40[/tex]
Consider the following quadratic equation.
(x + 3)2 = 43
When taking the square root of both sides of this equation, how many solutions will the equation
have? How do you know?
Answer choices ⬇️
Answer:
(x+3)
2
=43
BY TAKING SQUARE ROOT ON BOTH SIDES
x + 3 = \sqrt{43}x+3=
43
OR
x + 3 = - \sqrt{43}x+3=−
43
THUS
x = \sqrt{43} - 3x=
43
−3
OR
x = - \sqrt{43} - 3x=−
43
−3
THIS QUADRATIC EQUATION HAS 2 SOLUTIONS SINCE √43 CAN BE A POSITIVE OR A NEGATIVE INTEGER. FOR EXAMPLE, 2^2=4
BUT, (-2)^2=4 Thus. √4=2 or (-2)
After this. Simply shifting the 3 on the LHS to keep 'x' on one side to find its value.
Taking the square root of both sides of the equation (x + 3)² = 43 will result in two solutions for x.
The correct option is C.
What is a quadratic equation?A basic quadratic equation, or a second-order polynomial equation with a single variable, is represented by the equation x : ax² + bx + c = 0, where a≠0 for the variable x. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.
When taking the square root of both sides of the equation (x + 3)² = 43, we get:
x + 3 = ±√43
To solve for x, we can subtract 3 from both sides:
x = -3 ±√43
So there are two solutions for x:
x = -3 + √43
x = -3 - √43
Therefore, the solutions are x = -3 + √43 and x = -3 - √43.
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Pls, look at the picture for the question.
Answer:
It would be m = -2
Step-by-step explanation:
For this line slope would be negative because it is going down. It is going 2 down 1 across. Since it is rise over run it would be -2/1.
helpp pleass love you if you answer meeee
Answer:
C. No solution.
Step-by-step explanation:
Due to the y-intercepts (When the equation is in slope-intercept form: 1.5, and 3.5) we can identify that the equations are parallel from each other.
The slopes are the same, but the y-intercepts are different, the equations will be 2 (y) apart since each will intersect at different values. This means that both equations can't intersect with each other, making it impossible to find a solution.
Find the cube roots of 27(cos 330° + i sin 330°)
Answer:
See below for all the cube roots
Step-by-step explanation:
DeMoivre's Theorem
Let [tex]z=r(cos\theta+isin\theta)[/tex] be a complex number in polar form, where [tex]n[/tex] is an integer and [tex]n\geq1[/tex]. If [tex]z^n=r^n(cos\theta+isin\theta)^n[/tex], then [tex]z^n=r^n(cos(n\theta)+isin(n\theta))[/tex].
Nth Root of a Complex Number
If [tex]n[/tex] is any positive integer, the nth roots of [tex]z=rcis\theta[/tex] are given by [tex]\sqrt[n]{rcis\theta}=(rcis\theta)^{\frac{1}{n}}[/tex] where the nth roots are found with the formulas:
[tex]\sqrt[n]{r}\biggr[cis(\frac{\theta+360^\circ k}{n})\biggr][/tex] for degrees (the one applicable to this problem)[tex]\sqrt[n]{r}\biggr[cis(\frac{\theta+2\pi k}{n})\biggr][/tex] for radiansfor [tex]k=0,1,2,...\:,n-1[/tex]
Calculation
[tex]z=27(cos330^\circ+isin330^\circ)\\\\\sqrt[3]{z} =\sqrt[3]{27(cos330^\circ+isin330^\circ)}\\\\z^{\frac{1}{3}} =(27(cos330^\circ+isin330^\circ))^{\frac{1}{3}}\\\\z^{\frac{1}{3}} =27^{\frac{1}{3}}(cos(\frac{1}{3}\cdot330^\circ)+isin(\frac{1}{3}\cdot330^\circ))\\\\z^{\frac{1}{3}} =3(cos110^\circ+isin110^\circ)[/tex]
First cube root where k=2
[tex]\sqrt[3]{27}\biggr[cis(\frac{330^\circ+360^\circ(2)}{3})\biggr]\\3\biggr[cis(\frac{330^\circ+720^\circ}{3})\biggr]\\3\biggr[cis(\frac{1050^\circ}{3})\biggr]\\3\biggr[cis(350^\circ)\biggr]\\3\biggr[cos(350^\circ)+isin(350^\circ)\biggr][/tex]
Second cube root where k=1
[tex]\sqrt[3]{27}\biggr[cis(\frac{330^\circ+360^\circ(1)}{3})\biggr]\\3\biggr[cis(\frac{330^\circ+360^\circ}{3})\biggr]\\3\biggr[cis(\frac{690^\circ}{3})\biggr]\\3\biggr[cis(230^\circ)\biggr]\\3\biggr[cos(230^\circ)+isin(230^\circ)\biggr][/tex]
Third cube root where k=0
[tex]\sqrt[3]{27}\biggr[cis(\frac{330^\circ+360^\circ(0)}{3})\biggr]\\3\biggr[cis(\frac{330^\circ}{3})\biggr]\\3\biggr[cis(110^\circ)\biggr]\\3\biggr[cos(110^\circ)+isin(110^\circ)\biggr][/tex]
Different types of bees are very similar in appearance. Statistical analysis of certain measurements, like wing width, can be used to distinguish one kind of bee from another. The wing width for a specific type of honeybee is approximately normally distributed with a mean of 2.82 millimeters (mm). A random sample of 10 bees is taken from a hive and the wing widths are given below. Are the sample bees likely to be from a population of this one type of honeybee? determine p value that would be associated with two-tail hypothesis test
Answer:
Please see the analysis
The p-value that would be associated with the two-tail hypothesis test is 0.03.
What is a Hypothesis Test?A statistical hypothesis test is a method of statistical inference used to decide whether the data at hand sufficiently support a particular hypothesis. Hypothesis testing allows us to make probabilistic statements about population parameters.
How to determine?The mean will be 2.587
The standard deviation will be 0.467
By two tail test,
The p-value is 0.03
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Solve the formula for x.
Jx + Ky=M
PLEASE HELP I HAVE TO SUBMIT IT TODAY
Answer: 17,160 feet
Step-by-step explanation:
Because I mile = 5280 feet, 3 and 1/4 miles = 3.25 x 5280 = 17160 feet
Pls help me, I need it pls
Answer: think your not stups ur smart
Step-by-step explanation:
Help me with this please !! , the struggle is reall. :/
Answer: The slope would be 2/3. The parallel slope would be 2/3. the parallel intercept is -4
Step-by-step explanation: I how this helps!
Write 1.52888… as a mixed number in simplest form
Answer:
1 6611/12500
Step-by-step explanation:
1 is the whole number and 6611/12500 is in simplest form :)
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Which best represents the approximate height of a coffee cup?
A) 10 centimeters
B) 10 kilometers
C) 10 millimeters
D) 10 meters
Answer:
10 centimeters, I think.
Step-by-step explanation:
Find the price of each item.
this
Candy and a rose cost $7.25.
A rose and a card cost $4.25
Candy and a card cost $6.00.
Answer:
$7.25 + $4.25 + 6.00 = $17.50
Step-by-step explanation:
7.25 + 4.25= 11.50 + 6.00= 17.50