Answer:
We determined that the 10th figure will have 45 shaded squares. That means 100 – 45 = 55 squares will be unshaded
Step-by-step explanation:
hope this helps
A customer goes to a bank and gets change for a $100 bill. The change is to be in $1, $5, and $10 bills. There were four times as many $5 bills as $10 bills. If there are 25 bills in all, how many are $5 bills?
Answer:
12
Step-by-step explanation:
x = number of $1 bills
y = number of $5 bills
z = number of $10 bills
We know that:
x + y + z = 25 (total amount of bills)
x + 5y + 10z = 100 (total amount of money)
y = 4z (Given)
Substitute the third equation into the first one.
x + 4z + z = 25
x = 25 - 5z
Put this into the second equation.
(25 - 5z) + 5 (4z) + 10z = 100
Simplify and solve.
25 - 5z + 20z + 10z = 100
25z + 25 = 100
25z = 75
z = 3
Substitute this into y = 4z
y = 4 * 3
y = 12
So, there are 12 $5 bills.
Answer:
12 $5 bills
Step-by-step explanation:
Represent the number of each kind of bill by x, y and z: there are x $1 bills, y $5 bills and z $10 bills.
According to the problem statement,
x + y + z = 25 and y = 4z (or z = y/4). Also, the values of the bills add up to $100:
($1)x + ($5)y + ($10)z = $100. Eliminate z by typing y/4 in its place:
x + y + (y/4) = 25 and
x + 5y + 10(y/4) = 100
Doing this has reduced the number of variables to two: x and y. Combining like terms in both equations, we get:
1x + (5/4)y = 25 and
1x + (30/4)y =100
Subtracting the 1st equation from the 2nd, we get:
(25/4)y = 75, or
(4/25)(25/4)y = (4/25)(75) , or y = 12.
If y = 12, z = 12/4, or 3.
Then x + 12 + 3 = 25 coins in all; therefore, x = 15 = 25, and x = 10
There are 10-$1 bills, 12-$5 bills and 3-$10 bills.
Which of the following equations must also be true? Select three that apply.
Answer:
[tex] \frac{ - r}{ - s} = t[/tex]
[tex] \frac{ - r}{s} = t[/tex]
[tex] \frac{r}{ - s} = - t[/tex]
ΔABC and ΔXYZ are similar triangles. The lengths of two sides of each triangle are shown. Find the lengths of the third side of each triangle.
Answer:
a=7.6
y=2.3
Step-by-step explanation:
2.5/5=3.8/a
1/2=3.8/a
a=7.6
2.5/5=y/4.6
1/2=y/4.6
2y=4.6
y=2.3
The May 1, 2009, issue of a certain publication reported the following home sale amounts for a sample of homes in Alameda, CA that were sold the previous month (1,000s of $). 591 820 575 607 349 1,288 412 543 557 676 A button hyperlink to the SALT program that reads: Use SALT. (a) Calculate and interpret the sample mean and median. The sample mean is x
The sample mean is $641.80 thousand and the sample median is $583 thousand.
This means that the average sale price for a home in this sample was $641.80 thousand and that half the sales were for less than the median price and price and half the sales were more than the median price.
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
sum of the numbers = $ (591 + 820 + 575 + 607 + 349 + 1,288 + 412 + 543 + 557+ 676) = 6418
total number = 10
Mean = $6418 / 10 = $641.80
= $641.80 thousand
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
Arranging the prices in ascending order : 349, 412, 543, 557, 575, 591, 607, 676, 820, 1288
The two numbers in the middle of the set of numbers are 575 and 591
Median = (575 + 591) / 2 = $583
$583 thousand
To learn more about median, please check : https://brainly.com/question/300591?referrer=searchResults
X-y=6, x+y=8, zx+zy=20
Answer:
Step-by-step explanation:
x = 6 + y
6 + y + y = 8
y = 1
x - 1 =6
x = 7
zx + zy = z(x + y) = 20
z = 2.5
Answer:
X = 7
Y = 1
Z = 2/5
Step-by-step explanation:
7-1 = 6
7+1 = 8
2/5 × 7 + 2/5 = 20
Please help !! If you help i’ll give 5 stars
Answer:
Imaginary
Step-by-step explanation:
HELP HELP HELP I’ve BEEN STUCK ON THIS QUESTION IVE ASKED LIKE 3 TIMES ALREADY....ILL GIVE BRAINLY!!
Answer:
y = -3/4x - 3
Step-by-step explanation:
first lets find the slope what is rise over run
to get from (0, -3) to (-4,0) u have to rise 3 and go back 4
the slope would be -3/4
the last part is were it hits the y axis - ( -3) so it be -3
[2x(3+5)+6]x4 what is the value of this expression
Answer:
16x5+6x4
Step-by-step explanation:
(2x(3+5)+6)(x4)
=(2x(3+5)+6)(x4)
=(2x(3+5))(x4)+(6)(x4)
=16x5+6x4
Answer:
88
Step-by-step explanation:
to solve these kind of questions use BODMAS
need help. i will mark brainliest
Answer:
B (5t + 15 ≤ 140) is correct
Step-by-step explanation:
Because since each table (t) seats 5 people, you'd represent that as 5t (5 seats per table).
Since there is one extra table that seats 15 people, you'd represent that as 15.
Lastly, those two last steps added together should have to be less than or equal to (≤) 140 (the amount of people allowed in the building).
Which point is a solution to the system of inequalities?
StartLayout Enlarged left-brace first row y greater-than-or-equal-to one-half x squared + 4 second row y less-than StartRoot x + 2 EndRoot + 6 EndLayout
(–2, 6)
(1, 9)
(2, 8)
(0, 4)
D) (0,4)
Correct on Edge 2021
The correct option is 4. (0,4)
Given inequalities are [tex]y\geq \frac{1}{2} x^{2} +4[/tex] and [tex]y< \sqrt{x+2}+6[/tex] .
Taking first inequality,
[tex]y\geq \frac{1}{2} x^{2} +4[/tex]
Or, [tex]y=\frac{1}{2} x^{2} +4[/tex]
now checking which option satisfy the above equation.
Taking option 1.(–2, 6)
on putting x= - 2 and y=6, we get
[tex]6= \frac{1}{2} (-2)^2+4[/tex]
[tex]6=6[/tex]
Hence option 1 (–2, 6) satisfy the equation.
Similarly checking for option 2 and 3 we find that these options totally not follow inequality, so option 3 and option 2 must not be the solution of given inequality.
Now option 4 (0, 4).
Putting x=0 and y = 4, we get
[tex]4=0+4\\4=4[/tex]
Hence option 4 also satisfy the first inequality.
Now we have two option to choose our final answer option 1 and option 4.
since option 4 lies in the shaded region so option 4 will be correct option.
Hence the correct option is 4. (0,4)
For more details follow the link:
https://brainly.com/question/11897796
. Find the volume of a sphere with a radius of 23 feet. Round your answer to 2 decimal places. [Use pi = 3.14] *
Answer:
50.965.01
Step-by-step explanation:
help please!
options are
10.2
17.6
8.8
13.4
9514 1404 393
Answer:
(a) 10.2 ft
Step-by-step explanation:
The total surface area S is the sum of the base area and the lateral area. The base area is the area of the two triangular bases, which have a "base" of 6 ft and a height of 4 ft.
area of 2 bases = 2(1/2)bh = bh = (6 ft)(4 ft) = 24 ft²
The lateral surface area is the sum of the areas of the three rectangular faces. That will be ...
total face area = (4 ft)(x) +(6 ft)(x) +(7.2 ft)(x) = (17.2 ft)(x)
So, the total surface area is ...
200 ft² = 24 ft² + (17.2 ft)(x)
176 ft² = (17.2 ft)x . . . . . . . . . . subtract 24 ft²
(176 ft²)/(17.2 ft) = x ≈ 10.2 ft . . . . . divide by the coefficient of x
The unknown prism height is about 10.2 ft.
(5x + 10) + (2x -3) =
Answer:
7x + 7
Step-by-step explanation:
Please please please help!!!
express 0.6 + 0.47 in the form p/q where p and q are integers q are not equal to 0
Answer:
[tex]0.6 + \bar 0.47 = \frac{532}{495}[/tex]
Step-by-step explanation:
Given
[tex]0.6 + \bar 0.47[/tex]
Required
Express as x/y
Let
[tex]x = \bar 0.47[/tex]
This implies that:
[tex]x = 0.4747[/tex] --- (1)
Multiply by 100
[tex]100x = 47.4747[/tex] --- (2)
Subtract 1 from 2
[tex]100x - x = 99x[/tex]
This gives
[tex]47.4747 - 0.4747 = 47[/tex]
So:
[tex]99x = 47[/tex]
Solve for x
[tex]x = \frac{47}{99}[/tex]
This implies that:
[tex]\bar 0.47 = \frac{47}{99}[/tex]
[tex]0.6 + \bar 0.47[/tex] becomes
[tex]0.6 + \bar 0.47 = 0.6 + \frac{47}{99}[/tex]
Express 0.6 as fraction
[tex]0.6 + \bar 0.47 = \frac{6}{10} + \frac{47}{99}[/tex]
Take LCM and solve
[tex]0.6 + \bar 0.47 = \frac{99*6+10*47}{990}[/tex]
[tex]0.6 + \bar 0.47 = \frac{1064}{990}[/tex]
Simplify
[tex]0.6 + \bar 0.47 = \frac{532}{495}[/tex]
Verify: 4tan(θ)sec(θ) = (1+sin(θ)/1−sin(θ)) − (1−sin(θ)/1+sin(θ))
Working with the right side,
(1 + sin(θ))/(1 - sin(θ)) - (1 - sin(θ))/(1 + sin(θ))
multiply the first term by (1 + sin(θ))/(1 + sin(θ)) and the second one by (1 - sin(θ))/(1 - sin(θ)). This gives
(1 + sin(θ))/(1 - sin(θ)) • (1 + sin(θ))/(1 + sin(θ)) = (1 + sin(θ))^2 / (1 - sin^2(θ))
… = (1 + sin(θ))^2 / cos^2(θ)
and
(1 - sin(θ))/(1 + sin(θ)) • (1 - sin(θ))/(1 - sin(θ)) = (1 - sin(θ))^2 / (1 - sin^2(θ))
… = (1 - sin(θ))^2 / cos^2(θ)
Now combine the fractions, expand the numerator, and simplify:
(1 + sin(θ))^2 / cos^2(θ) - (1 - sin(θ))^2 / cos^2(θ) = ((1 + sin(θ))^2 - (1 - sin(θ))^2) / cos^2(θ)
… = ((1 + 2 sin(θ) + sin^2(θ)) - (1 - 2 sin(θ) + sin^2(θ))) / cos^2(θ)
… = 4 sin(θ) / cos^2(θ)
… = 4 • sin(θ)/cos(θ) • 1/cos(θ)
… = 4 tan(θ) sec(θ)
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2Y=5XSquared
I don’t have the power symbols on my phone.
How do I solve for Y?
Which expression has the greatest value?
Answer:
=8⁴√³
8⁴=2¹²
12÷3=4
2⁴=16
16=16²√
=64²√³
64=4³
6÷3=2
4²=16
=16³√
16=4²
6÷2=3
4³=64
so the answer is 16^3/2
Find the median of each set of data
Answer:
sorry, I think u got yr question incomplete.
stay safe healthy and happy.To find the median:
- Arrange the data points from smallest to largest.
- If the number of data points is odd, the median is the middle data point in the list.
- If the number of data points is even, the median is the average of the two middle data points in the list.
Kayla was cutting right triangles from wood to use for an art project. Two of the right triangles she cut are shown below
Answer:
The answer is "[tex]28^{\circ}[/tex]"
Step-by-step explanation:
Please find the complete question in the file.
The angle F measure is identical to the angle C measure.
The adjacent BC and the hypotenuse AC have been developed. That would be used cosine.
[tex]\cos C = \frac{15}{17}\\\\C =\ cos^{-1}\frac{15}{17} = 28.07\approx 28^{\circ}[/tex]
10 km = ? M ???? Pls help
Answer:
10000 meters
Step-by-step explanation:
10 km is 10000 meters
⊙O and ⊙P are given with centers (−2, 7) and (12, −1) and radii of lengths 5 and 12, respectively. Using similarity transformations on ⊙O, prove that ⊙O and ⊙P are similar.
Answer:
Whereby circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying the transformations of a translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P
Step-by-step explanation:
The given center of the circle [tex]\bigodot[/tex]O = (-2, 7)
The radius of [tex]\bigodot[/tex]O, r₁ = 5
The given center of the circle [tex]\bigodot[/tex]P = (12, -1)
The radius of [tex]\bigodot[/tex]P, r₂ = 12
The similarity transformation to prove that [tex]\bigodot[/tex]O and [tex]\bigodot[/tex]P are similar are;
a) Move circle [tex]\bigodot[/tex]O 14 units to the right and 8 units down to the point (12, -1)
b) Apply a scale of S.F. = r₂/r₁ = 12/5 = 2.4
Therefore, the radius of circle [tex]\bigodot[/tex]O is increased by 2.4
We then obtain [tex]\bigodot[/tex]O' with center at (12, -1) and radius r₃ = 2.4×5 = 12 which has the same center and radius as circle [tex]\bigodot[/tex]P
∴ Circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying similarity transformation of translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P.
Please help look at picture and solve for x I’ll mark u as brainliest and no links
Answer:
A x=18
Step-by-step explanation:
What is the answer of 1/4x+1<5?
what is the twelfth term in the sequence 13,26,39, ...?
Answer:
166
Step-by-step explanation:
Brainliest and a thanks??
Term 1: 13
Term 2: 26
Term 3: 39
Term 4: 52
Term 5: 65
Term 6: 78
term 7 : 91
Term 8: 104
Term 9: 117
Term 10: 130
Term 11: 143
Term 12: 156
OR 13*12=156
Add 13 every time until you add it 12 times you will get 156. Or you can mulitply 13*12 you will get 156. Multiply is much easier though!!
Hope this helps!
Answer=156
Have a great day!
- Hailey!
(nothing is copied or pasted!!!)
Write these numbers in ascending order
9.81 x 10^3
9.82 x 10^2
9812
Answer:
look at the picture i sent......
Which set of angle measures would determine a triangle?
A. 750, 150, 10°
B. 150°, 20°, 50°
O C. 50°, 50°, 100°
D. 75º, 5º, 100°
E. 70°, 60°, 40°
Answer: I think it’s E
Step-by-step explanation:
Answer:
D. 75°, 5•, 100°
Step-by-step explanation:
All angles in a triangle add up to 180°
A race is 5 kilometers long. Harold ran 3/4 of the race. How many kilometers did Harold run? PLEASE HURRY
Answer:
3.75
Step-by-step explanation:
I took a test and that was the answer
Harold ran 3.75 kilometers in 5 kilometers long race.
What is multiplication?The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.
Example: 2 + 3 signifies that 2 is multiplied by 3 or that 3 is multiplied by 2 times.
Given, a race is 5 kilometers long.
Harold ran 3/4 of the race.
To find the numbers of kilometers, Harold run
That means,
we multiply 3/4 to the total race's length.
Required length
= 5 x 3/4
= 15/4
= 3.75
Therefore, Harold ran 3.75 kilometers.
To learn more about the multiplication;
https://brainly.com/question/19634536
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Please don’t judge me, can I get some help? Questions in the screenshot below