Answer:
B: 15 quarters
Step-by-step explanation:
Step 1: Setup Coin Value and Coin Total Equation:
Coin Value Equation → 0.1d + 0.25q = $7.25 where d = dimes and q = quarters
Coin Total Equation → d + q = 50
Step 2: Rearrange Coin Total Equation in terms of dimes (d)
d = 50 - q ← Revised Coin Total Equation
Step 3: Plug in our Revised Coin Total Equation for d into our Coin Value Equation:
0.1(50 - q) + 0.25q = $7.25
0.1(50) - 0.1(q) + 0.25q = $7.25
5 - 0.1q + 0.25q = $7.25
5 + (0.25 - 0.1)q = $7.25
5 + 0.15q = $7.25
Step 4: Subtract 5 from each side of the equation to isolate q
5 - 5 + 0.15q = $7.25 - 5
0.15q = 2.25
Step 5: Divide each side of the equation by 0.15 to isolate q
0.15q
0.15
=
2.25
0.15
q = 15
Step 6: Using our value for q, Solve for d using our Coin Total Equation:
d + 15 = 50
Subtracting 15 from both sides, we get d + 15 - 15 = 50 - 15
d = 35
Summarizing our word problem, we see that 15 quarters and 35 dimes adds up to $7.25
What is the equation of the line passing through the point (2, 3) and perpendicular to the line y=2x+7?
Answer:
[tex] -\frac{1}{2}x + 4[/tex]
A rectangular garden is 24 feet wide. Its length is 5 feet more than twice the width. What is the area of the garden?
Answer:
1272 feet²
Step-by-step explanation:
Breadth (Width) = 24 feet
Length = (24 × 2) + 5
= 48 + 5
= 53 feet
Area = Length × Breadth
Area = 53 × 24
= 1272 feet²
Help help help math math
Answer:
It is an example of a nonlinear function.
Step-by-step explanation:
Use a graphing calculator or graph the points and try to make a line, as it will not work
What is the range of the relation below?
Find the allowable height for the hypotenuse if the hypotenuse catheters are 4 cm and 9 cm
Answer:
L = 9.85 cm
Step-by-step explanation:
I guess you meant length for the hypotenuse. We just apply the pythagorean theorem:
L = [tex]\sqrt{(4 cm)^2 + (9 cm)^2} = \sqrt{16 cm^2 + 81 cm^2} = \sqrt{97 cm^2} = (circa) 9.85 cm[/tex]
Answer:
solutions given;
base:9 cm
perpendicular: 4 cm
hypotenuse:?
By using pythagorus law
hypotenuse^2: perpendicular^2+base^2
hypotenuse:[tex]\sqrt {4^2+9^2}[/tex]
hypotenuse:9.84cm
find the slope
a line that passes between (-5, 8) and (2,4)
Answer:
Step-by-step explanation:
formula : m=(y2-y1)/(x2-x1)
(4 - 8) / (2 - - 5)
-4 / 7
m = -4 / 7 = -0.57143
estimate a 15 tip on a restaurant bill of $24.55
Answer:
39.55
Step-by-step explanation:
24.99+15=39.55
That is how you get your answer :)
Answer:
1.89
Step-by-step explanation:
.15 x 24.55=1.89
Solve the system of equations using the substitution method.
S 4x + 5y=7
ly=3x +9
Enter your answers in the boxes.
2
X=
y=
Answer:
x = -2.
y = 3.
Step-by-step explanation:
If y = 3x + 9
Substitute this value for y in the first equation.
4x + 5(3x + 9) = 7
4x + 15x + 45 = 7
19x = 7 - 45
19x = -38
x = -38/19
x = -2.
with this value of x, substitute -2 in the second equation
y = 3(-2) + 9
y = -6+9
y = 3.
check if your values are all correct
4(-2) + 5(3) = 7
-8 + 15 = 15 - 8 = 7
Correct!
please solve this quick
9 times 11 = 0.818181...
Explain?
Helpppp pleaseeee ????
Answer:
LQ = 54
Median = 69
UQ = 94
Step-by-step explanation:
This list is already sorted for you, so you don't need to worry about that, otherwise you would need to sort the numbers in ascending order. To find the median, we do [tex]\frac{n+1}{2}[/tex], where n is the amount of numbers. This gives us 4, so the median is at position 4, so the median is 69. The lower quartile is simply [tex]\frac{n+1}{4}[/tex], so 2, so the lower quartile is 54. The upper quartile is [tex]\frac{n+1}{2} X 3[/tex], so 6, so the upper quartile is 94.
At the restaurant, Gordon packed 8 orders with 4 items per order
in the morning. In the afternoon, he packed 6 orders with 7 items
per order.
Answer:
what is the question?
Step-by-step explanation:
Please look for the question in the picture.
Answer:
C and B
Step-by-step explanation:
20%=1/5 so D+1/5D
1.2 = 120%
Which of the following is a geometric sequence with a common ratio of 2?
A) 14, 28, 56, 112, ...
B) 64, 32, 16, 8, ...
C) 87, 85, 83, 81, ...
D) 14, 16, 18, 20, ...
Answer:
A
Step-by-step explanation:
Geometric sequences involve multiplication and the ratio of 2 means each number is multiplied by 2 to get the next number.
If a triangle has a base of 6' and a height of 4' its third side would be what?
Answer:
≈7.2
Step-by-step explanation:
hope this helps
Determine the equation of a circle with center at (8, 10) and radius 6.
1) (X + 8)2 + (y - 10)2 = 36
2) (x + 8)2 + (y + 10)2 = 36
3) (x-8)2 + (y - 10)2 = 36
4)(x - 8)2 + (y - 10)2 = 6
Answer:
Step-by-step explanation:
general equation for a circle at the origin is
x² + y² = r²
if the circle center is (x₀, y₀), the formula is
(x - x₀)² + (y - y₀)² = r²
(x - 8)² + (y - 10)² = 36
The sum of two consecutive integers is -11. Find the number
Answer:
-5 and -6
Step-by-step explanation:
Lets do the equation: x+x+1=-11
Add: 2x+1=-11
Subtract: 2x=-12
Divide: x=-6
The smaller integer is -6
The larger integer is -5
Simplify 4 to the seventh power over 5 squared all raised to the third power . (4 points)
a
4 to the tenth power over 5 to the fifth power
b
4 to the fourth power over 5
c
4 to the twenty-first power over 5 to the sixth power
d
12 to the seventh power over 15 squared
The answer is C, 4 to the 21st over 5 to the 6th power.
Josie owns 21 books. She buys 6 books every week. Write the recursive sequence to describe how number books she has.
Answer:
a1=21
an=an-1+6
Step-by-step explanation:
QUESTION 22 PLEASE HELP ME!!!!
Answer:
the answer is infinite
Step-by-step explanation:
would u like me to explain?
Question:
Goofy Unlimited Lighting sells a 12 pack of lightbulbs for $8.40. Daisy Luminous Lighting sells a pack of 19 lightbulbs for
$15.35. Which store has the better deal. (3 points - 1 point showing the correct proportional relationship, 1 point
showing the unit rate, 1 point for identifying the store name)
es 0)
balo
Answer:
Goofy unlimited lighting 12 pack of light bulbs
Step-by-step explanation:
12 = 8.40/12 = .70 cents
19 = 15.35 = .81 cents
Solve the equation algebraically show work to support the answer
2/3x + 4 = 2
Answer:
2/3x + 4 = 2
or,3x+2+4=2
or,3x+6=2
or,3x=2-6
or,3x=-4
or,x=-4/3
x=-1.33
Riley is saving up to buy a new television. She needs a total of $966.42. Riley has saved $200.92 already and earns $76.55 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television
Answer:
10 weeks
Step-by-step explanation:
76.55x+200.92=966.42
76.55x=966.42-200.92
76.55x=765.5
x=765.5/76.55
10
Henry's garden which is 1/4 of an acre is to be divided into 12 equal size areas what is the size of each area?
The size of each area is 3x
Word problems in mathematics involve arithmetic operations and algebraic equations employed to solve real-life cases.
From the given parameters.
Henry's garden is said to be 1/4 of an acre.If an acre = xThen, Henry's garden is (1/4)xSo, Henry's garden is said to be divided into 12 equal size areas.
∴
The size of each area is;
[tex]\mathbf{= \dfrac{\dfrac{1}{4}x}{12}}[/tex]
[tex]\mathbf{= \dfrac{1}{4}(x) \times \dfrac{12}{1}}[/tex]
= 3x
Learn more about word problems in mathematics here:
https://brainly.com/question/21405634
Which of the following are possible side
lengths for a triangle?
A. 8, 5, 7
B. 10, 3, 7
C. 9,5, 15
Answer:
A yes B No C Yes
Step-by-step explanation:
The length of the third side is greater than the difference and less than the sum of the two smallest sides.
8, 5, 7 Using the 5 and 7 the third side is > (7 - 5) and < (5 + 7)
the third side is > 2 and < 12 so 8 is OK
10, 3, 7 Use the two smallest number: 3 and 7
the third side is > (7 - 3) and < (3 + 7)
the third side is > 4 and < 10 No it is 10
9, 5, 15 Use the two smallest number 9, 5
the third side is > (9 - 5) and < (9 + 5)
the third side is > 4 and < 14 Yes
Answer:
A. 8, 5 , 7
Step-by-step explanation:
the other guy who answered gave two yes's so I chose one and A. was correct.
10. In a recent season, the San Francisco Giants
won 75 out of 162 games. What percent of their
games did they win? Round to the nearest tenth if
necessary.
Using the percentage concept, it is found that the San Francisco Giants won 46.3% of their games.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem:
The Giants played a total of 162 games, hence b = 162.They won 75 games, hence a = 75.Then:
[tex]P = \frac{75}{162} \times 100\% = 46.3\%[/tex]
The San Francisco Giants won 46.3% of their games.
You can learn more about the percentage concept at https://brainly.com/question/10491646
LAST ATTEMPT MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Answer:
[tex]V(1,2) \to V \ ' \ (0.5,1)\\\\U(0,2) \to U \ ' \ (0,1)\\\\T(-1,0) \to T \ ' \ (-0.5, 0)\\\\W(1,-2) \to W \ ' \ (0.5,-1)\\\\[/tex]
===========================================================
Explanation:
Multiply each coordinate by 0.5, which is the same as the fraction 1/2.
This causes the preimage to shrink to a smaller image.
The rule I'm using is [tex](x,y) \to (kx,ky)[/tex] where the scale factor is k = 0.5
20 POINTS!! PLEASE HELP DUE NOWWW!
Gia started to solve the equation 3(x − 10) − 5x = 2x − 26 below. They want to move the variables to the left side of the equation for their next step.
Fill in Line 4 and give the property.
Line 1: 3(x − 10) − 5x = 2x − 26 Original Problem
Line 2: 3x − 30 − 5x = 2x − 26 Distributive Property
Line 3: -2x − 30 = 2x − 26 Collect Like Terms
Line 4: _______________ _______________
The value of x from the given equation is -1
Given the equation expressed as:
[tex]3(x - 10) - 5x = 2x - 26[/tex]
Expand using the distributive law as shown:
3x - 3(10) - 5x = 2x - 26
3x - 30 - 5x = 2x - 26
Collect the like terms to have:
3x - 5x - 2x = -26 + 30
-2x - 2x = -26 + 30
Simplify the result by addition and subtraction:
-4x = 4
Divide both sides by -4 (Division property of equality)
-4x/-4 = 4/-4
x = -1
Hence the value of x from the given equation is -1
Learn more equations here: https://brainly.com/question/22688504
A statistics teacher has a large container of beads that she says contains 60% blue beads. A student randomly selects
50 beads. Let p = the true proportion of blue beads in the container. If the true proportion of blue beads is 0.60, which
value of ô is least likely to occur?
O 0.50
0.60
O 0.70
0.80
Answer:
0.80
Step-by-step explanation:
its the farthest away from 0.60
If the mean of five values is 8.2 and four of the valuesare 6, 10, 7, and12, find the fifth value.
Answer:
6
Step-by-step explanation:
→ Do the 8.2 × 5
41
→ Minus the answer from the sum of the values
41 - ( 6 + 10 + 7 + 12 ) = 6
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )