Answer:
8 quarters
Step-by-step explanation:
You need to break the $20 into smaller bills. The smaller bills value has to be equal to $20. So far you have three $5 bills and three 1$ bills, so the current value is 3*$5 + 3*$1= $18
The value you need to add more will be $20- $18= $2
You need to add $2 more value to the smaller bills and you want to do it using quarters($0.25). The number of the quarter you need will be: $2/ $0.25= 8 quarters
Let's start by calculating the total value of the five-dollar bills and one-dollar bills:
You have 3 five-dollar bills, and each is worth $5, so:
3 five-dollar bills × $5 per bill = $15
You also have 3 one-dollar bills, and each is worth $1, so:
3 one-dollar bills × $1 per bill = $3
Now, let's add the value of the five-dollar bills and one-dollar bills together:
$15 (from five-dollar bills) + $3 (from one-dollar bills) = $18
You started with a twenty-dollar bill, which is worth $20, so we subtract the total value of the bills you have from $20 to find out how much is left to reach $20:
$20 (initial amount) − $18 (value of bills) = $2
You need to make up this remaining $2 with quarters. Since each quarter is worth $0.25 (25 cents), we divide the remaining amount by the value of each quarter to find out how many quarters you need:
$2 ÷ $0.25 per quarter = 8 quarters
Therefore, you need 8 quarters to complete the conversion to $20.
You start driving north for 3 miles, turn right, and drive east for another 4 miles. At the end of driving, what is your straight line distance from your starting point?
The straight line distance is 5 miles from starting point.
Step-by-step explanation:
Driving 3 miles north and 4 miles east and then the straight line distance will form a right angled triangle.
Where;
One leg = a = 3 miles
Other leg = b = 4 miles
Hypotenuse = c
Using Pythagoras theorem;
[tex]a^2+b^2=c^2\\(3)^2+(4)^2=c^2\\9+16=c^2\\c^2=25[/tex]
Taking square root on both sides
[tex]\sqrt{c^2}=\sqrt{25}\\c=5[/tex]
The straight line distance is 5 miles from starting point.
Answer:
5
Step-by-step explanation:
3[2]+4[2]=c[2]
9+16=c[2]
[tex]\sqrt{25}[/tex]=5
Write the explicit formula for the geometric sequence
The formula [tex]3(4^{n-1})[/tex] represents the geometric sequence.
Step-by-step explanation:
Step 1:
The value of [tex]a_{n}[/tex] is dependent on the value of n.
So n is independent while [tex]a_{n}[/tex] is dependent on n i.e. the value of [tex]a_{n}[/tex]depends on the value of n.
Step 2:
We substitute the values of n in the functions to check which function satisfies the values of [tex]a_{n}[/tex].
If [tex]n = 4, a_{n} = -4(3)^{n-1} = -4 (3^{3}) = -108.[/tex] This does not equal the value of [tex]a_{n}[/tex].
If [tex]n = 4, a_{n} = 4(3)^{n-1} =-4 (3^{3}) = 108.[/tex] This does not equal the value of [tex]a_{n}[/tex].
If [tex]n = 4, a_{n} =3(-4)^{n-1} = 3 (-4^{3}) = -192.[/tex] This does not equal the value of [tex]a_{n}[/tex].
If [tex]n = 4, a_{n} =3(4)^{n-1} = 3 (4^{3}) = 192.[/tex] This equals the value of [tex]a_{n}[/tex].
So the fourth formula represents the geometric sequence.
Given the function y= 7x - 3 determine the y-intercept of the line.
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The point (0,-4) is located [ANSWER]
Answer:
on the x-axis
Step-by-step explanation:
it is located on the x axis because it is not technically in any quandrant. it is however, on an axis.
Answer: Its located on the y-axis
Step-by-step explanation: any point where x is zero e.x (0,7) (0,3), is always going to go through the y-axis only
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Systems of Equations Word Problems Practice
1. Luis made a $150 bank deposit using $5 bills and $10 bills. He gave the teller a total of 24
bills. How many $10 bills were in the deposit?
1st equation:
2nd equation:
What did you have to multiply the first equation by, if anything?
What did you have to multiply the second equation by, if anything?
Answer:
cils Gabby bought a nens and Spencils
6 bills in the deposit were $10 bills.
Step-by-step explanation:
The total number of bills he gave the teller = 24 bills
x + y = 24 ------------(1)
Let,
x be the number of $5 bills.
y be the number of $10 bills.
The total bank deposit made using $5 and $10 bills are $150.
He deposits $5 bills and $10 bills. So, the equation can be framed as :
5x + 10y = 150 --------(2)
The question is asked for how many $10 bills were in the deposit,
Here 'y' is the number of $10 bills.
To solve for y value :
The eq(1) must be multiplied by 5 and subtract eq(2) from eq(1),
5x + 5y = 120
-(5x + 10y = 150)
-5y = -30
⇒ y = 30/5
⇒ y = 6
Therefore, there were 6 bills in the deposit that are $10 bills.
I will mark brainliest if correct please answer fast I will give 10 points to the first person to answer
Answer:
The radius is 2.5 yards
The diameter is 5 yards
Step-by-step explanation:
We want to find the radius and diameter given that, the circumference of the circle is;
C=5π yards.
Recall that, the circumference of a circle is C=πd
This implies that:
[tex]5\pi = \pi \: d[/tex]
Divide both sides by π
[tex]5 = d[/tex]
To find the radius, divide the diameter by 2;
[tex]r = \frac{5}{2} = 2.5[/tex]
The radius is 2.5 yards
The diameter is 5 yards
Memphis and his 2 brothers each had 3/4 cup of pretzels for snack.
How many cups of pretzels did the boys have altogether?
Answer:.1 1\2
Step-by-step explanation:
one large bag of takis cost $3.50 how many bags would you buy with $21.00?
Answer:
6
Step-by-step explanation:
21 divided by 3.50 is 6.
Answer:
6 bags of takis
Step-by-step explanation:
$21.00 / $3.50 = 6
The queen had 300 servants. there were 10 more butlers than cooks. the number of cooks was twice the number of maids. how many maids worked at the queen palace?
The no. of maids who worked at the queen's palace is 58.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, The queen had 300 servants. there were 10 more butlers than cooks. The number of cooks was twice the number of maids.
Assuming the no. of maids to be 'x', therefore no. of cooks is 2x and the no. of butlers is (2x + 10).
∴ x + 2x + (2x + 10) = 300.
5x = 290.
x = 58.
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Which of the following describes how to translate the graph y = 1xl to obtain the graph of y = lx - 11 - 1?
1)1 unit left and 1 unit down
2)1 unit left and 1 unit up
3)1 unit right and 1 unit down
4)1 unit right and 1 unit up
Please help
Answer:
3)1 unit right and 1 unit down
Step-by-step explanation:
The parent function is
[tex]y = |x| [/tex]
This is the base of the absolute value functions.
It has its vertex at the origin.
The transformed function is
[tex]y = |x - 1| - 1[/tex]
This absolute value function has its vertex at (1,-1).
This means the parent function has been shifted 1 unit right and 1 unit down to obtain the transformed function.
The Strike Zone Battling Center provides cages for baseball players to perfect their swing. The patron pays a fixed rate of $12.75 for the first 45 minutes, pay an additional $0.35 for up to two hours and $0.25 per minute for any additional time over two hours. The following function is used to compute the overall cost for a patron.
where x is the amount of time in minutes spent battling at the Strike Zone. How much would you pay for 115 minutes?
To calculate the cost for 115 minutes at the Strike Zone Battling Center, we account for the flat rate for the first 45 minutes and add the additional cost for the remaining 70 minutes at a rate of $0.35 per minute. We find that the total would be $37.25.
Explanation:The cost calculation for using the cages at the Strike Zone Battling Center operates on a tier system. The first 45 minutes costs a flat rate of $12.75. If a patron uses it for additional time up to 2 hours (or 120 minutes), it's an extra $0.35 per minute. Anything over 2 hours is $0.25 per minute.
To calculate the cost for 115 minutes, we determine that it is less than 2 hours. Therefore, the cost will be the flat rate of $12.75 plus the additional cost for 70 minutes (which is 115 minutes minus the first 45 minutes) at $0.35.
The calculation goes as follows:
$12.75 + (70 * $0.35) = $12.75 + $24.50 = $37.25.
So, for 115 minutes, you would pay $37.25
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90 3/10% as a decimal
Answer:
90+3/10 over 100
Step-by-step explanation:
Hope this helped you
Which of the following is another way to express the equation 8 - (-) = 43?
8-d=43
-d + 8 = 43
-8+d=43
O8+ d=43
Question:
Which of the following is another way to express the equation 8 - (-d) = 43?
A.8-d=43
B.-d+8=43
C.-8+d=43
D.8+d=43
Answer:
8 + d = 43 is another way to express the given equation
Solution:
Consider the given equation
[tex]8 - (-d) = 43[/tex]
We have to find the another way to express the above equation
We know that,
We we multiply negative sign number by another negative sign number, then the result is positive sign number
Therefore from given,
[tex]-(-d) = -1 \times -d = d[/tex]
Thus the given equation becomes,
8 + d = 43
Thus option D is correct
round 132,463,217 to the nearest hundred million
first person is brainliest
Answer:
100,000,000
Step-by-step explanation:
hope this helps
Which of the following best describes an unpredictable event?
The best option that describes an unpredictable event is the winner of a presidential election 10 years from now. Hence, option B is correct.
What is an event?An event in probability theory is the result of a random event or a specified group of its results. Any subgroup of a sample space is another definition of an event because the sample space is the gathering of all potential results of a random experiment.
As per the given data in the question,
Unpredictable life occurrences are those that occur without warning and are typically unplanned.
So, the unpredictable event will be the winner of a presidential election 10 years from now. Because that is not known by anyone.
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Figure ABCD is reflected across the y-axis. What are the coordinates of A' , B' , C' , and D' ?
Answer:
Reflection in the y-axis maps:
(x,y) onto (-x,y)
x coordinate gets multiplied by -1,
y coordinate remains unchanged
Which system of equations has infinitely many solutions?
Answer:
Which system of equations has infinitely many solutions? its the last option
What are the five spheres
formula to find the following problem
what is the next number in the series 131 118 105 92 79
please help. i don’t get this. explain and show work. will give lots of points and mark as brainliest!
The student didn't provide enough information to answer their question. The subject and specific problem were missing from the request. More context or further details are needed to give a correct and applicable tutorial response.
Explanation:Unfortunately, your question did not provide enough information for me to provide a specific answer. The subject and the specific problem you want to explain have not been given. Please provide these details, and I would be more than happy to help you understand any academic problem you're facing, whether it's about Mathematics, English, History, Biology, Physics or any other subject.
Remember that it's always good to include as much information as possible - what particular concept do you struggle with? Is there a specific assignment question that troubles you? This will help tutors provide you with the most accurate, relevant, and helpful answer!
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please help its my 2nd time having to repost this question
marco wants to buy 2 books that cost 20$ each. He can save $5 a week. Draw siagrama and write equations to find how many weeks it will take hime to save enough money to buy the books.
Answer: He needs to wait 8 weeks.
Step-by-step explanation: 5•8 equals 40. 2 books, 20$ each and add them together, 40!
To determine the number of weeks Marco needs to save $40 to buy two books at $20 each, an equation can be set up based on his weekly savings of $5. Solving the equation 5 × w = $40 gives us w = 8, meaning Marco will need to save for 8 weeks.
Explanation:The problem given is about Marco who wants to buy two books, each costing $20. He can save $5 a week. To calculate how many weeks it will take for Marco to save enough to buy the books, we can set up an equation. First, we need to determine the total cost of the books:
Cost of one book = $20Cost of two books = 2 × $20 = $40Next, let’s set up our equation. If Marco saves $5 each week, the total amount saved after w weeks will be 5 × w. We want this to be equal to the total cost of the books, so our equation will be:
5 × w = $40
To solve for w, we divide both sides by 5:
w = $40 / 5
w = 8
Therefore, it will take Marco 8 weeks to save enough money to buy the two books.
is every natural number a rational number.
Is every rational number a natural number.
Is every natural number a real number.
Is every real number a natural number.
All irrational numbers are real numbers.
btw these are True or false questions
Final answer:
Every natural number is a rational number and a real number, but not every rational or real number is a natural number. Also, all irrational numbers are indeed real numbers.
Explanation:
Let's address the statements about numbers and their classifications to determine if they are true or false:
Every natural number is a rational number. - True
Every rational number is a natural number. - False, rational numbers include fractions and negative numbers which are not natural numbers.
Every natural number is a real number. - TrueEvery real number is a natural number. - False, real numbers include rational and irrational numbers, so not all are natural.All irrational numbers are real numbers. - TrueThe corrected statements are:
Some rational numbers are not natural numbers; they can be fractions or negative numbers.Not all real numbers are natural numbers; real numbers encompass both rational and irrational numbers, whereas natural numbers are only the positive integers (1, 2, 3, ...).An art exhibit is made by stacking three identical prisms on top of each other end-to-end so their smallest faces overlap. One of the prisms is shown here.
Find the surface area of the total exhibit.
The surface area of the exhibit is 1,638 cubic inches.
Step-by-step explanation:
Step 1:
If three prisms are out on top of each other we get a shape as follows;
The length of the base [tex]= 9[/tex] inches,
The width of the base [tex]=6[/tex] inches, and
The height of the exhibit [tex]= 3(17) = 51[/tex] inches.
To find the surface area of the total exhibit we consider there to be only one shape which the above dimension.
Step 2:
There are 6 faces to the exhibit.
The surface area of a rectangular prism is given by;
[tex]A=2(w l+h l+h w)[/tex]
By substituting the values, we get
[tex]A=2((6)(9)+(51) (9)+(51) (6)) = 2 (819) = 1,638.[/tex]
The surface area of the exhibit is 1,638 cubic inches.
simplify 4(x−1)−3(2x−5)
Answer:
-2x+11
Step-by-step explanation:
multiply both terms by using the distributive property
It will be: 4x-4-6x+15
add like terms and the equation becomes
-2x+11
Answer:
-2x +11
Step-by-step explanation:
4(x−1)−3(2x−5)
Distribute
4x -4 -6x +15
Combine like terms
4x-6x -4 +15
-2x +11
Complete the parts in each step to find the area of each trapezoid?
Press on the picture to see it
The area of the trapezoid is 20 in².
Solution:
Given data:
Length of the bottom base = 7 in
Length of the top base = 3 in
Height of the trapezoid = 4 in
Step 1: Area of the trapezoid formula,
[tex]$A=\frac{b_{1}+b_{2}}{2} \times h[/tex]
Step 2: Substitute the given values in the formula.
[tex]$A=\frac{7+3}{2} \times 4[/tex]
Step 3: Add 7 and 3.
[tex]$A=\frac{10}{2} \times 4[/tex]
Step 4: Divide 10 by 2, we get
[tex]A=5 \times 4[/tex]
Step 5: Multiply 5 by 4, we get
A = 20 in²
The area given in the picture is wrong.
The area of the trapezoid is 20 in².
If the length of a pool is 8 more than twice the width and the total area is 960 square feet, find the length and width of the rectangular landscape element.
Answer:
l=48, w=20
Step-by-step explanation:
Let the width of the pool be w feet, then the length will be:
[tex]l = 2w + 8[/tex]
The area of the pool is 960 square feet.
This means that:
[tex]w(2w + 8) = 960[/tex]
Expand and rewrite in standard form to get:
[tex]2 {w}^{2} + 8w - 960 = 0[/tex]
[tex] {w}^{2} + 4w - 480 = 0[/tex]
[tex]{w}^{2} + 24w - 20w- 480 = 0[/tex]
[tex]{w}(w+ 24) - 20(w + 24) = 0[/tex]
Factor to get:
[tex](w+ 24)(w - 20) = 0[/tex]
[tex]w = - 24 \: or \: w = 20[/tex]
We discard the negative value because magnitude is positive.
This means
[tex]l = 2 \times 20 + 8 = 48[/tex]
Which of the following is the best definition of a complex number?
Answer:
complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, that satisfies the equation i2 = −1.
Step-by-step explanation:
What does 1+4c=7+2c equal
Answer:
c=3
Step-by-step explanation:
First simplify like terms.
1+4c=7+2c
1+2c=7 (subtract 2c from both sides)
2c=6 (subtract 1 from both sides)
c=3 (divide by 2)
CHECK:
1+4(3)=7+2(3)
1+12=7+6
13=13
Yes!
Answer: [tex]c=3[/tex]
Step-by-step explanation:
Step 1: Simplify both sides of the equation:
[tex]4c+1=2c+7[/tex]
Step 2: Subtract 2c from both sides:
[tex]4c+1-2c=2c+7-2c[/tex]
[tex]2c+1=7[/tex]
Step 3: Subtract 1 from both sides.:
[tex]2c+1-1=7-1[/tex]
[tex]2c=6[/tex]
Step 4: Divide both sides by 2:
[tex]2c/2=6/2[/tex]
Get your answer:
[tex]c=3[/tex]
Area of circles
Susan designed a circular pool with a diameter of 25 meters. what is the area of the bottom of the pool? round to rhe nearest.
Step-by-step explanation:
Diameter of circle = 25 m
Therefore, radius of the circle = 12.5 m
[tex]area \: of \: bottom \: of \: pool \\ = \pi {r}^{2} \\ = 3.14 \times ( {12.5)}^{2} \\ = 3.14 \times 156.25 \\ = 490.625 \: {m}^{2} \\ \approx490.63 \: {m}^{2} [/tex]