Answer:
103 dimes and 108 quarters
Step-by-step explanation:
Given
[tex]Value = \$37.30[/tex]
[tex]Amount = 211[/tex]
Required
Determine the number of each coin collected
Represent dimes with D and quarters with Q.
[tex]1\ D= \$0.10[/tex]
[tex]1\ Q= \$0.25[/tex]
So:
[tex]0.10D + 0.25Q = 37.30[/tex] --- Value
[tex]D + Q = 211[/tex] --- Amount
Make D the subject in [tex]D + Q = 211[/tex]
[tex]D = 211 - Q[/tex]
Substitute 211 - Q for D in [tex]0.10D + 0.25Q = 37.30[/tex]
[tex]0.10(211 - Q) + 0.25Q = 37.30[/tex]
Open brackets
[tex]21.1 - 0.10Q + 0.25Q = 37.30[/tex]
Collect Like Terms
[tex]- 0.10Q + 0.25Q = 37.30 - 21.1[/tex]
[tex]0.15Q = 16.2[/tex]
Make Q the subject
[tex]Q = 16.2/0.15[/tex]
[tex]Q = 108[/tex]
Substitute 108 for Q in [tex]D = 211 - Q[/tex]
[tex]D = 211 - 108[/tex]
[tex]D = 103[/tex]
Slope of -1 through point (3,-1)
Answer:
Step-by-step explanation:
Y axis of y
Find the mid segment of GH
Answer:
B. 2
Step-by-step explanation:
Based on the Midsegment of a trapezoid theorem:
GH = (BC + FE)/2
9x - 3 = (19 + (5x + 1))/2) (substitution)
9x - 3 = (20 + 5x)/2
Cross multiply
2(9x - 3) = 20 + 5x
18x - 6 = 20 + 5x
Collect like terms
18x - 5x = 20 + 6
13x = 26
Divide both sides by 13
x = 26/13
x = 2
Help how do I solve this and what is the answer. Explain plz
Quadrilateral ABCD with AB = 5.5cm, BC = 3.5cm, CD = 4cm, AD = 5cm, and <A = 45°.
Step-by-step explanation:
hope it helps
mark me brainliest
The graph shows the price of
different lengths of two types of
rope.
If you buy $1.00 of each kind of
rope, which one will be longer?
Answer:
Nylon
Nylon has a longer x-input for its' y-output, so it is longer.
Write the equation of the line in fully simplified slope-intercept form.
y
12
11
10
9
8
7
6
5
4
3
2
1
-12-11-10-9-8-7-6 -5 -4 -3 -2 21
1 2 3 4 5 6 7 8 9 10 11 12
-3
-4
-5
-6
-7
-10
-11
Answer:
y = ⁴/3x - 7
Step-by-step explanation:
✔️First, find the slope (m):
Slope (m) = ∆y/∆x = 4/3
m = ⁴/3
✔️Determine the y-intercept (b):
The y-axis is intercepted by the line at y = -7, therefore the y-intercept (b) would be -7.
b = -7
✔️Write the equation:
Substitute the value of m = ⁴/3 and b = -7 into y = mx + b (slope-intercept form equation).
y = ⁴/3x + (-7)
y = ⁴/3x - 7
A water tank already contains 55 gallons of water when Baxter begins to fill it. There is a crack in the tank and water begins to leak at a rate of 8 gallons per minute. Find the amount of water in the tank 6 minutes after Baxter begins filling the tank.
Answer:
Step-by-step explanation:
Therefore, the volume of the water in the tank 25 minutes after Baxter begins filling the tank is 255 gallons.
Step-by-step explanation:
Linear Equation; Ax+By=C
A linear equation to model this situation:
8x + 55 = C
Where;
8 is for the rate of gallons.
'X' is the minutes.
55 is the gallons of water the tank already contained.
8(25) + 55 = 255
Where;
8 is for the rate of gallons.
25 is the minutes.
55 is the gallons of water the tank already contained.
The Ice Chalet offers dozens of different beginning ice-skating classes. All of the class names are put into a bucket. The 5 P.M., Monday night, ages 8 to 12, beginning ice-skating class was picked. In that class were 64 girls and 16 boys. Suppose that we are interested in the true proportion of girls, ages 8 to 12, in all beginning ice-skating classes at the Ice Chalet. Assume that the children in the selected class are a random sample of the population.
Required:
Construct a 92% Confidence Interval for the true proportion of girls in the ages 8-12 beginning ice-skating classes at the Ice Chalet.
Answer:
The answer is "(0.73,0.87)".
Step-by-step explanation:
Given:
number of girls[tex]= 64[/tex]
number of boys[tex]= 16[/tex]
Total number of children[tex]= 64+16= 80[/tex]
So,[tex]n=80[/tex]
Calculating the value of the proportion which is given by girls:
[tex]\hat{p}= \frac{\text{number of girls}}{\text{total number of childrens}}[/tex]
[tex]=\frac{64}{80}\\\\=\frac{8}{10}\\\\= 0.8[/tex]
Therefore the confidence interval is:
[tex]\to \hat{p}\pm z_{(1-\frac{\alpha }{2})}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\\to 0.8 \pm 1.75\sqrt{\frac{0.8(1-0.8)}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{\frac{0.8(0.2)}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{\frac{0.16}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{0.002}\\\\\to 0.8 \pm 1.75 (0.04)\\\\\to 0.8 \pm 0.07\\\\\to (0.73,0.87)[/tex]
[tex]\therefore \\\\\text{The lower confidence limit} = 0.73\\\\\text{The upper confidence limit} = 0.87\\[/tex]
Simplify 42/56 please help
Answer:
3/4
Step-by-step explanation:
The GCF of 42 and 56 is 14. If you divide both the numerator and the denominator by 14 we get 3/4 = 0.75 or 75%
Answer: 3/4
Step-by-step explanation:
42 divided by 14 is 3
54 divided by 14 is 4
over a period of 3 hours, the outside temperature changed an average of -2.25 fahrenheit per hour. select the correct sentence that represents this situation.
the temperature decreased by 2.25 degrees fahrenheit from the beginning to the end of the 3-hour period.
the temperature increased by 0.75 degrees fahrenheit from the beginning to the end of the 3-hour period.
the temperature increased by 6.75 degrees fahrenheit from the beginning to the end of the 3-hour period.
the temperature decreased by 6.75 degrees fahrenheit from the beginning to the end of the 3-hour period.
Answer:
D
Step-by-step explanation:
-2.25 x 3 = 6.75
the temperature decreased by 6.75 after 3 hours
Answer:
The temperature decreased by 6.75 degrees Fahrenheit.
Step-by-step explanation:
This is answer choice D because the Start of Temperature is:
70F
Start Time: 9AM
(70,9) --> (67.75,10) --> (67.50,11) --> (67.25, 12)
how many months are in y years and m months?
Answer:
Step-by-step explanation:
There are 12 months in one year, so there would be 12*y in y years.
Answer:
there 12 months in one 1 year
Step-by-step explanation:
Please provide with an explanation to get brainiest
If there are 52 successful outcomes in a sample with a size of 80, what is the
sample proportion?
A. 0.36
B. 0.72
C. 0.52
D. 0.65
Answer:
D. 0.65
Step-by-step explanation:
Do 52/80 to get the answer which is D.
The sum of the squares of two numbers is 26. The difference of the two
numbers is 4. Find the two numbers.
Answer:
i dont know the answer but good luck
Step-by-step explanation:
I will give brainiest.
Answer:
the third one is the answer
What is the volume of the rectangular prism shown?
Answer:
18 3/64
Step-by-step explanation:
i did test trust me
(4,9) (2,6) (0,3) y intercept please
Hi there!
Hope this helps!
We have a bilateral triangle with base length 2 and sidelengths x where x is increasing at a rate
of 5 units per minute.
Find the rate of change of the side angle teta when x=2.
Answer:
[tex]\frac{5\sqrt{3} }{6}[/tex]
Step-by-step explanation:
Given :
base length = 2
side lengths = x
dx/dt = 5 unit/min
Determine d∅ / dt at x = 2
d∅ / dt at x = 2 = [tex]\frac{5\sqrt{3} }{6}[/tex]
attached below is a detailed solution
What is the completely factored form of this polynomial?
81x4 − 16y4
Answer:
( 9 x^ 2 + 4 y ^2 ) ( 3 x + 2 y ) ( 3 x − 2 y )
The completely factored form of the polynomial 81x^4 - 16y^4 is:
(3x + 2y)(3x - 2y)(9x^2 + 4y^2)(9x^2 - 4y^2)
Determining the completely factored formApply the difference of squares formula:
(9x^2)^2 - (4y^2)^2
Factor the difference of squares:
(9x^2 + 4y^2)(9x^2 - 4y^2)
Apply the difference of squares formula again:
(3x)^2 + (2y)^2
(3x)^2 - (2y)^2
Factor the difference of squares:
(3x + 2y)(3x - 2y)
Putting it all together, the completely factored form of the polynomial 81x^4 - 16y^4 is:
(3x + 2y)(3x - 2y)(9x^2 + 4y^2)(9x^2 - 4y^2)
Learn more on polynomials here https://brainly.com/question/4142886
#SPJ2
Please tell me weather it’s true or fade for each one please!
Answer:
False, true, true, false, false
Step-by-step explanation:
Sam earned $154 washing 7 cars. He earned the same amount for washing each car
Select all the equations that show reasonable estimates for the amount Sam eamed washing each car
A $140 = 7 = $20
B. $190 = 9 = $10
C. $160 = 8=320
D. $150 = 5= $10
E $150 = 3= $50
Answer:
the answer is A cause you divide 7 by 140 and the answer is 22 so 20 is the closest
DUE IN 5 MINUTES!!!1!!11!1!!1
123 + 392 - 234 x 2 ÷ 3 + 223 x 14 =
Answer: 3481
Step-by-step explanation:
Which quadrant is (-3,7) in?
A: 1 or |
B: 2 or ||
C: 3 or ||
D: 4 or IV
2
If f(x) = -2x2- x, what is f(2) and f(3)?
Will mark brainliest!!!
Solve for x
Answer:
2
Step-by-step explanation:
$5200 at 7.36% for 54 months
a. Find the interest earned.
$
b. Find the balance of the account.
$
Answer:
Step-by-step explanation:
A)5200*54/12*7.36/100=5440.44
b)5200+5440.4410,640.44
Answer:
a. $1722.24 b. $6922.24
Step-by-step explanation:
for a: 5200*0.0736*54/12= 1722.24
for b: 1722.24+5200= 6922.24
all work must be shown and easy to read or follow.
Find the Greatest Common Factor of the Numerator and Denominator
1. 1248
2. 2024
3. 1070
Answer: The answer is two.
Step-by-step explanation: start by making a tree diagram and dividing all three numbers by two. Each number needs to end in whole numbers with no decimals or fractions. 1248 will be 624, 2024 will be 1012, and 1070 will be 535. Then as you keep dividing the only numbers that match together is two on all three as you will get 3 and 13 added to 1248, 11 and 23 added to 2024, and 5 and 107 to 1070. The only numbers that match are two so your answer is two.
8. There were 512 people at the Talent Show,
Admission was $1.25 for adults and 50
for children. The receipts were $406.75.
How many of each attended?
Answer:
7.9 of each
Step-by-step explanation:
1) All cars are blue. (2) All pigs have wings. Therefore, (3) All buses have three wheels. Question 2 options: Passes the true premises test and passes the proper form test. Passes the true premises test and fails the proper form test. Fails the true premises test and passes the proper form test. Fails the true premises test and fails the proper form test. None of the above.
Answer:
Fails the true premises test and fails the proper form test
Explanation:
A valid argument must pass the true premises test and the proper form test.
True premises test checks to see if what the premises is saying is true about the world, example- pigs do not have wings and so the argument fails the true premises test. Proper form test assumes the premises is true and then checks to see if a valid conclusion was drawn based on the premises(even though it might fail the true premises test and may not be true about the world)
In the first quadrant you start at (6, 10) and move 6 units right and 4 units down what point will you end up with
Answer:
(12,6)
Step-by-step explanation:
If you move 6 units right, you get to (12,10). Moving 4 units down takes you to (12,6).
