Answer: No Solutions
Step-by-step explanation:
Define Variables:
May choose any letters.
\text{Let }d=
Let d=
\,\,\text{the number of dimes}
the number of dimes
\text{Let }q=
Let q=
\,\,\text{the number of quarters}
the number of quarters
\text{\textquotedblleft at most 25 coins"}\rightarrow \text{25 or fewer coins}
“at most 25 coins"→25 or fewer coins
Use a \le≤ symbol
Therefore the total number of coins, d+qd+q, must be less than or equal to 25:25:
d+q\le 25
d+q≤25
\text{\textquotedblleft a minimum of \$4.45"}\rightarrow \text{\$4.45 or more}
“a minimum of $4.45"→$4.45 or more
Use a \ge≥ symbol
One dime is worth $0.10, so dd dimes are worth 0.10d.0.10d. One quarter is worth $0.25, so qq quarters are worth 0.25q.0.25q. The total 0.10d+0.25q0.10d+0.25q must be greater than or equal to \$4.45:$4.45:
0.10d+0.25q\ge 4.45
0.10d+0.25q≥4.45
\text{Plug in }\color{green}{17}\text{ for }d\text{ and solve each inequality:}
Plug in 17 for d and solve each inequality:
Isabella has 17 dimes
\begin{aligned}d+q\le 25\hspace{10px}\text{and}\hspace{10px}&0.10d+0.25q\ge 4.45 \\ \color{green}{17}+q\le 25\hspace{10px}\text{and}\hspace{10px}&0.10\left(\color{green}{17}\right)+0.25q\ge 4.45 \\ q\le 8\hspace{10px}\text{and}\hspace{10px}&1.70+0.25q\ge 4.45 \\ \hspace{10px}&0.25q\ge 2.75 \\ \hspace{10px}&q\ge 11 \\ \end{aligned}
d+q≤25and
17+q≤25and
q≤8and
0.10d+0.25q≥4.45
0.10(17)+0.25q≥4.45
1.70+0.25q≥4.45
0.25q≥2.75
q≥11
\text{It is not possible to have }q\le 8\text{ AND to have }q\ge 11\text{.}
It is not possible to have q≤8 AND to have q≥11.
\text{Therefore there is NO SOLUTION}
Therefore there is NO SOLUTION
Isabella has to have a minimum of 11 but could have as many as 19 quarters to meet the criteria given in the question.
Explanation:Isabella has 17 dimes which equates to $1.70 ($.10 x 17 = $1.70). We know she has to have a minimum of $4.45, so let's subtract the value of the dimes from this total ($4.45 - $1.70), resulting in $2.75. This remaining value must come from the quarters Isabella has. Since quarters are worth $0.25 each, we divide $2.75 by $0.25 to discover Isabella must have at least 11 quarters to reach the target dollar amount.
However, since Isabella could have 'at most 25 coins', we realize that she could also have potentially more quarters. We've established she has 17 dimes, so subtract that from the total of 25, resulting in 8. This means she could have in total between 11 (minimum requirement to reach the dollar amount) and 19 (maximum limitation placed by the coin total) quarters.
Learn more about Number of Quartershttps://brainly.com/question/32591052
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5. Stan has a good driver discount on his automobile insurance policy. He pays 86% of the regular
premium rate of $279. The actual premium Stan pays is
O a. $86.00
O b. $193.00
O c. $239.94
O d. $279.00
OOOO
WILL GIVE BRAINLIEST The total cost f(x), in dollars, for renting a bowling lane for x hours is shown:
f(x) = 2x + 12
What does f(14) represent?
The number of dollars it costs to rent the bowling lane for 14 hours
The number of games you can bowl for a cost of $14
The number of games you can bowl in 14 hours
The number of hours the bowling lane can be rented for a cost of $14
Answer:
A
Step-by-step explanation:
it is the cost in dollars to rent the bowling lane for 14 hrs.
The function f(14) represents that the number of dollars it costs to rent the bowling lane for 14 hours and this can be determined by using the given data.
Given :
The total cost f(x), in dollars, for renting a bowling lane for x hours is shown: f(x) = 2x + 12.
The following steps can be used in order to determine the correct statement:
Step 1 - The arithmetic operations can be used in order to determine the value of f(14).
Step 2 - Write the given function.
f(x) = 2x + 12
Step 3 - Substitute the value of 'x' in the above function.
f(14) = 2(14) + 12
f(14) = 40
Therefore, the correct option is A) The number of dollars it costs to rent the bowling lane for 14 hours.
For more information, refer to the link given below:
https://brainly.com/question/5245372
namois fish is 40 millmeters her guniuea pig is 25 centimeters
Answer: the guniuea pig is bigger by 25 centimeters!
Step-by-step explanation:
Fish= 40 milimeters = 4 centimeters
Guniuea pig= 25 centimeters
Answer:
the guniuea pig is bigger by 25 centimeters!
just easy
(100 POINTS) Can anyone solve this math equation for me? Thank you!
Answer:
Step-by-step explanation:
Given that,
x^8/x^a=x²
Applying indices
Division rule a^m ÷ a^n = a^(m-n)
Then,
x^8/x^a=x²
x^(8-a)=x²
For this to be equal means that, the power are equals since they have the same base
Then, 8-a=2
8+2=a
So, a=10
Taking the second equation
(x^6)^b=x¹²
Using indices again
x^(6b)=x¹²
Also, for this to be equal
6b=12
Then, b=12/6
b=2
Then, b=2 and =10
We need to find b-a.
b-a=2-10=-8
Then, the answer to b-a is -8
The rectangle shown has a perimeter of 60 inches and a width of 12 inches. What is its length?
A.) 12 Inches
B.) 18 Inches
C.) 36 Inches
D.)48 Inches
Answer:
it is 18
Step-by-step explanation:
that the ansewer if you divid
Final answer:
The length of the rectangle with a perimeter of 60 inches and a width of 12 inches is 18 inches, calculated using the perimeter formula for rectangles and solving for the length.
Explanation:
The question asks us to find the length of a rectangle given its perimeter and width. To solve this, we use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. In this case, we have P = 60 inches and w = 12 inches.
So, substituting the given values into the formula, we get:
60 = 2l + 2(12)
First, calculate the double of the width:
2(12) = 24 inches
Now, subtract this value from the total perimeter to find the double of the length:
60 - 24 = 36 inches
Finally, divide by 2 to find the length of the rectangle:
36 / 2 = 18 inches
Therefore, option B, 18 inches, is the correct answer for the length of the rectangle.
Micahdisu please help
Answer:
1) A - 42°
2) 74°
3) B - 45°
4) B - 66°
Step-by-step explanation:
1) E = D+H
87 = 45 + H
H = 42°
2) 180 - 50 - D
D = 180 - 44 - 62 = 74°
3) F = 105
H = 180-105 = 75
I + H = C + E
I + 75 = 83 + 37
I = 45°
4) D = 180 - (E + F)
D = 180 - (30 + 57) = 93°
93 = A + 27
A = 66°
Answer: In figure 1, angle H = 42°. In figure 2, angle F = 56°. In figure 3, angle I = 45° and in figure 4, angle A = 66°
Step-by-step explanation: Please refer to the attached diagram for details.
From figure 1, if angle E measures 87, then angle F would be calculated as
Angle F = 180 - 87 {Sum of angles on a straight line equals 180}
Angle F = 93
Then looking at triangle FHD, we have angles D and F as 45 and 93. Angle H = 180 - (45 + 93) {Sum of angles in a triangle equals 180}
Angle H = 180 - 138
Angle H = 42
From figure 2, if triangle ACB has two angles given as 44 and 62, then the third angle C, would be calculated as
Angle C = 180 - (44 + 62) {Sum of angles in a triangle equals 180}
Angle C = 180 - 106
Angle C = 74
Note that angle D equals angle C {Opposite angles are equal}. So if angle D measures 74, then looking at triangle FED, we have two angles already, E and D which are 50 and 74. To calculate angle F, the equation would be
f = 180 - 50 - 74
f = 56
That is, angle F = 56.
From figure 3, we have angles C and E given as 83 and 37. To calculate angle G
Angle G = 180 - (83 + 37) {Sum of angles on a straight line equals 180}
Angle G = 180 - 120
Angle G = 60
Also, to calculate angle H,
Angle H = 180 - 105 {Sum of angles on a straight line equals 180}
Angle H = 75
Looking at triangle GHI, we have identified two angles which are 60 and 75. To calculate the third angle which is angle I,
Angle I = 180 - (60 + 75) {Sum of angles in a triangle equals 180}
Angle I = 180 - 135
Angle I = 45
From figure 4, if angles B and E measure 27 and 30 respectively then the whole of that angle measures 27 + 30 which equals 57.
So looking at the biggest of all three triangles, two angles have been identified which are angles F and {B + E}
To calculate angle A
Angle A = 180 - (57 + 57) {Sum of angles in a triangle equals 180}
Angle A = 180 - 114
Angle A = 66.
Please help I don't understand this problem. I need to get this done by tonight.
Answer:
Step-by-step explanation:
24
(I NEED THIS ANSWERED QUICKLY! I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!)
The coordinates of the vertices of quadrilateral ABCD are (7, -7), (4, -10), (1.5, -2.5), and (6, -3), respectively.
If quadrilateral ABCD is rotated 180° counterclockwise about the origin, what are the coordinates of D’?
A. (6, 3)
B. (3, -6)
C. (-6, 3)
D. (-3, 6)
C. Coordinates of D' (-6,3)
Step-by-step explanation:
When any figure is rotated 180° in the counterclockwise direction, then the coordinates of the vertices is changed into its opposite sign.
(x, y) → (-x, -y)
The coordinates of the vertices of quadrilateral ABCD is changed when it is rotated 180 degrees counterclockwise about the origin as,
A (7,-7) → A'(-7,7)
B (4,-10) → B' (-4,10)
C (1.5, -2.5) → C' (-1.5, 2.5)
D (6, -3) → D'(-6,3)
So the coordinates of D' will be (-6,3)
what is the distance between ( 1,0) and ( 9,15)
Answer:
(8,15)
Step-by-step explanation:
A community garden center hosts a plant giveaway every spring to help community members start their gardens. Last year, the giveaway
supported 50 families by giving away 150 plants. Based on this ratio, how
many plants will the center give away this year in order to support 65 families?
Answer:
195?
Step-by-step explanation:
(4k^2*2k*k^3)^3 simplify
Answer:
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I need help with this question ASAP Please pick all of the correct ones
Answer:
(a): 4(8x - 3)
Option B, 32x - 12 because 4(8x - 3) distributes as 4*8x + 4*-3 = 32x - 12
Option D, 4*8x - 4*3 because it simplifies into 32x - 12
(b): 7y + 2y + 8y
Option C, 17y because 7 + 2 + 8 = 17
Option A, 7y + 10y because it adds to 17y
Stephanie put $80 in her bank account when she was five years old. The bank gave her a simple interest rate of 2.1%.
Does she have enough money to buy a TV for $1,000 after leaving her money in the bank for 10 years?
Answer:
2000
Step-by-step explanation:
Difference between an integer and a real number
Answer:
Real number is any number. This includes integers, rational, and irrational numbers.
While integers are just positive or negative whole numbers that also includes 0.
Hope this helps!
How many cubed pieces of fudge that are 3 inches on an edge can be packed
into a Christmas tin that is 9 inches deep by 12 inches wide by 9 inches high with
the lid still being able to be closed?
1. 18
2. 24
3. 32
4. 36
5. 43
Answer:
36 cubed pieces of fudge
Step-by-step explanation:
9 x 12 = 108
108 ÷ 3 = 36
1/8 divided by 1/4 =
=
1 /8 / 1 /4
=( 1/ 8 )( 4 /1 )
= (1)(4)/ (8)(1)
= 4 /8
= 1 /2 or 0.5
Answer:
1/2
Step-by-step explanation:
To multiply fractions we do keep change flip, keeping the first fraction, changeing the division into multiplication and flipping the last fraction so we don't have to go into decimals so 1/8 divded by 1/4 becomes
1/8 * 4/1
Now we multiply the numerators together and the denominators together and then put it back in fraction form. Another option is to cross reduce, both will be shown.
Multiplying numerators and denominators
1 * 4 = 4
8 * 1 = 8
Put it into fraction form;
4/8 Now simplify
1/2
Cross Reducing
To cross reduce you can divde two numbers that are accross from each other in a fraction equation (Multiplication only) by the same number
1/8 * 4/1 The four and eight are across from each other so we can cross reduce by 4 because that is there gcf
then we have
1/2 * 1/1 now we multiply the numerators by numerators and the denominators by denominators in this case we don't have to go that far though because 1/1 is 1 and anything times one is itself, therefore the awnser is
1/2
Square OSER, ER equals (2a+b) what is the area of square OSER
Answer:
4a² + 4ab + b² units²
Step-by-step explanation:
Area of a square = Length²
ER is a length of the square
ER = (2a + b)
Area of a square = (2a + b)² = (2a + b)(2a + b) = (2a)(2a) + (2a)(b) + (2a)(b) + (b)(b) = 4a² + 4ab + b²
The area of the square OSER = [tex]4a^{2}+4ab+b^{2}[/tex] sq unit
Step-by-step explanation:
Given,
Length of each side(ER) = (2a+b) unit
To find the area of the square OSER.
Formula
The area of a square with each side a unit is [tex]a^{2}[/tex] sq unit
[tex](a+b)^{2}= a^{2} +b^{2} +2ab[/tex]
Now,
The area of the square OSER = [tex](2a+b)^{2}[/tex] sq unit
= [tex]4a^{2}+4ab+b^{2}[/tex] sq unit [ by using the formula of ([tex]a+b)^{2}[/tex]]
claire spends 1/2 of her monthly salary on food, 1/4 on rent and 1/3 on power bills, she saves rest. what fraction of her monthly salary does she have?
What is 5x+y=9 in slope-intercept form?
Answer:
y = -5x + 9
Step-by-step explanation:
Hello!
Here is a chart on the slope intercept.
Hope This Helps!
You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?
Answer:
$361,223
Step-by-step explanation:
Each year, the value is multiplied by 1+5% = 1.05. After 51 years, it has been multiplied by that factor 51 times, so is now ...
$30,000×1.05^51 ≈ $361,223
Final answer:
To find the approximate value of land purchased for $30,000 in 1960 with a 5% annual increase by 2011, we use the compound interest formula which results in an approximate value of $447,187.25.
Explanation:
To determine the approximate value of land in the year 2011, which was purchased for $30,000 in 1960 with an average annual increase of 5%, we will use the formula for compound interest. This situation can be treated as a compound interest problem where the initial principal is the initial land value, the rate is the annual increase, and the time is the number of years the land has appreciated.
The compound interest formula is [tex]A = P(1 + r/n)^(nt),[/tex] where A is the future value of the investment/loan, including interest, P is the principal investment amount (initial value of land), r is the annual interest rate (annual increase in value), n is the number of times that interest is compounded per year, and t is the time the money is invested or borrowed for, in years.
In this scenario, P is $30,000, r is 0.05 (5% expressed as a decimal), n is 1 since we are compounding annually, and t is 51 (2011 - 1960).
Therefore,
[tex]A = 30,000(1 + 0.05/1)^(1*51).[/tex]
Carrying out the calculation gives us the approximate value of the land in 2011.
[tex]A = 30,000(1.05)^51[/tex]
Approximate value of the land in 2011 = $447,187.25
on a map, 1 inch equals 5 miles. Two cities are 5 inches apart on the map. What is the actual distance between the cites?
Answer:
25 in
Step-by-step explanation:
Answer:
25 miles
Step-by-step explanation:
If 1 inch equals 5 miles, which I wrote like 1in/5mi = 5in/x.
To find our answer we just multiply 5 miles by 5 inches to get 25 miles.
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original price!
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COLLECTIVE
Karen buys a water heater during the sale.
If Karen pays $350 , what was the original price?
Answer:
350 *100 /50 = 700
Step-by-step explanation:
Basically 350 is 50 percent of the total. What u need to do is find the 100 percent. Just use this formula
Discounted price *100 / (what was the discount percentage when it was bought)
Answer:
original price is $525
Step-by-step explanation:
A cone has a radius of 7 in and a volume of 512.87 in3.what is the height?
Height of the cone is 9.99 in
Step-by-step explanation:
Step 1: Volume of a cone = 1/3 πr²h. Given volume of the cone = 512.87 in³ and r = 7 in. Find height, h.512.87 = 1/3 × 22/7 × 7² × h
512.87 × 3 = 22 × 7 × h
1538.61 = 154h
∴ h = 1538.61/154 = 9.99 in
Rocky walks his dog Fido 4 times around the
lock. If they walked a total of 1,144 feet,
how long is it to go around the block once?
Answer:
286
Step-by-step explanation:
1,144÷4=286
Can someone please help me? Pics included!!!
Answer:
I think the answer would be C.
Step-by-step explanation:
1. Solve the inequality for x
Show each step of the solution
16x > 2x - 3
Answer:
x > -3/14
Step-by-step explanation:
Step 1: Subtract 2x from both sides
16x - 2x > 2x - 3 - 2x
14x > -3
Step 2: Divide both sides by 14
14x / 14 > -3 / 14
x > -3/14
Answer: x > -3/14
Lee got 77,67,99,79,100,65,79,89,58 and 67 on his English tests
What is the mean of Lee’s English tests
Answer:78
Step-by-step explanation:
77+67+99+79+100+65+79+89+58+67 = 780
Divide this number by the toal number of factor,which here is 10:
780/10 = 78
What is 111%of 800 rounded to the nearest hundred
Answer:
[tex]900[/tex]
Step-by-step explanation:
Step 1: Make an expression
What is 111% of 800
[tex]800 * (1 + 0.11) = x[/tex]
[tex]800 * (1.11) = x[/tex]
Step 2: Multiply
[tex]800 * (1.11) = x[/tex]
[tex]888 = x[/tex]
Step 3: Round to the nearest hundred
888
Since the tens place is greater than 5, we round up.
[tex]900[/tex]
Answer: [tex]900[/tex]
A washer and dryer cost a total of $954. The cost of the washer is two times the cost of the dryer. Find the cost of each item.
Cost of washer : $ ____
Cost of dryer : $ ____
Answer:
The dryer would cost 318 and the washer would cost 636
Step-by-step explanation:
954 divided by 3 = 318 318x2=636 318+638=954
How tall would the building be if it had 15 floors?
Answer:
it depends on how big the floors are.
Step-by-step explanation: