Answer:
the amount of money you can spend on the drink is no more than 3.25
Step-by-step explanation
total is greater than/equal to cost of book plus cost of drink
10>/=6.75+x (x represents the drink)
x</=3.25
Answer: 10.00-6.75=find out yourself, EASY
Step-by-step explanation:
Since you have 10 dollars and you find a book and a cold drink for all 6.75
you will need to subtract the numbers to find your answer
In triangles △KHJ and △LGW, m∠K=m∠L, m∠H=m∠G, KH=8, LG=4, GW=2.5, and KJ=LW+3. Find the unknown sides of these triangles.
Answer:
KJ = 6 , LW = 3 , KJ = 6
Step-by-step explanation:
Let LW be x then KJ be x + 3
In ΔKHJ and ΔLGW,
∠K = ∠L and ∠H = ∠G , So, by AA Similarity, [tex]\Delta KHJ \sim\Delta LGW[/tex]
Therefore,
[tex]\frac{8}{4}=\frac{x+3}{x} =\frac{HJ}{2.5}[/tex]
First taking,
[tex]\frac{8}{4}=\frac{x+3}{x}\\8\cdot x = 4\cdot x + 12\\4\cdot x=12\\x=3[/tex]
∴LW = 3 , KJ = 6
Now,
[tex]\frac{8}{4}=\frac{HJ}{2.5}[/tex]
⇒ HJ = 5
The unknown sides of the triangle KHJ and triangle LGW are HJ = 5, LW = 3, and KJ = 6 and this can be determined by using the given data.
Given :
m∠K=m∠Lm∠H=m∠GKH = 8, LG = 4, GW = 2.5, and KJ = LW + 3Given that m∠K = m∠L, m∠H = m∠G, therefore, triangle △KHJ and △LGW are congruent to each other by AA similarity postulate.
To determine the unknown sides of the given triangles, first, let the unknown side LW be 'a' and the side KJ be 'a + 3'.
[tex]\rm \dfrac{8}{4}=\dfrac{a+3}{a}=\dfrac{HJ}{2.5}[/tex] ----- (1)
[tex]2\times a = (a+3)\times 1[/tex]
2a = a + 3
a = 3
Put the value of 'a' in equation (1).
[tex]\rm \dfrac{3+3}{3}=\dfrac{HJ}{2.5}[/tex]
[tex]\rm 2\times 2.5 = HJ[/tex]
HJ = 5
LW = 3
KJ = 3 + 3 = 6
The unknown sides of the triangle KHJ and triangle LGW are HJ = 5, LW = 3, and KJ = 6 and this can be determined by using the given data.
For more information, refer to the link given below:
https://brainly.com/question/23790352
maria made a pizza one third of her pizza has pepperoni on it. she puts mushrooms on 2/3 on t he pepperoni third of the pizza what fraction of the pizza has mushrooms on it
The formula for the volume of a cylinder with a height of 5 units is v(r)=5(3.14)r^2 where r is the radius of the cylinder. What is the domain and range of this function?
r < 0, V(r) < 0
r > 0, V(r) < 0
r < 0, V(r) > 0
r > 0, V(r) > 0
Answer:
r>0 and V(r)>0
Step-by-step explanation:
Number one: There arent no negative volumes
Number two: There aren't Negative radi
Thus V(r) and r must be greater than one. I attach the graph V(r)=5 Pi r^2
The domain would be (0,infinity)
The range would be (0, infinity)
The domain of a function is [tex]$r \geq 0$[/tex] and range of a function is [tex]$V(r) \geq 0$[/tex].
How to find the domain and range of the function?The formula for the volume of a cylinder with a height of 5 units is:
[tex]V(r)=5 \pi r^{2}$$[/tex]
Where [tex]$\mathrm{r}$[/tex] is the radius of the cylinder and [tex]$\mathrm{r}$[/tex] cannot be in negative
Let [tex]$r \geq 0$[/tex] here, [tex]$\mathbf{r}$[/tex] is the independent variable and [tex]$\mathbf{V}(\mathbf{r})$[/tex] is the dependent variable by definition of domain and range.
The domain of the given function is: [tex]$r \geq 0$[/tex] or in the interval [tex]$=[0, \infty)$[/tex]
The range of the function [tex]$(\mathrm{V}(\mathrm{r}))$[/tex] is: [tex][0, \infty)$$[/tex].
Therefore the correct answer is r > 0, V(r) > 0.
Learn more about the domain and range of this function
https://brainly.com/question/11436355
#SPJ2
For a series of concrete structures, a civil engineer records the number of cracks that develop in each one and the number of fastening bolts used in that structure. The scatterplot shows her results. Based on her line of best fit, which of the following statements is true?
The correct answer is C
For each bolt used, the number of cracks decreased by an average of [tex]\frac{1}{2}[/tex].
Scatterplot:
'A scatter plot is a type of plot or mathematical diagram that uses Cartesian coordinates to display values for typically two variables for a set of data.'
According to the given problem,
The line in the scatterplot has two points, (2,8) , (8,5)
Let (2,8) be ([tex]x_{1},y_{1}[/tex]) and (8,5) be ([tex]x_{2},y_{2}[/tex])
Finding slope:
[tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex] = [tex]\frac{5 - 8}{8-2}[/tex] = [tex]\frac{-1}{2}[/tex]
Hence, we can conclude that the number of cracks decreases by an average of half. We can conclude that its decreasing because of the negative slope.
Learn more about Scatterplot and here:
https://brainly.com/question/25280625
#SPJ2
Choose the correct solution graph for the inequality 12x+4>16 or 3x-5<-14
[tex]12x+4>16\qquad\text{subtract 4 from both sides}\\\\12x>12\qquad\text{divide both sides by 12}\\\\\boxed{x>1}\\\\or\\\\3x-5<-14\qquad\text{add 5 to both sides}\\\\3x<-9\qquad\text{divide both sides by 3}\\\\\boxed{x<-3}\\\\Answer:\ \boxed{x<-3\ or\ x>1}[/tex]
The inequalities 12x + 4 > 16 and 3x - 5 < -14 simplify to x > 1 and x < -3 respectively. In graphical form, both inequalities represent lines extending from the points x = 1 and x = -3, with x > 1 going towards the right and x < -3 moving leftward.
Explanation:To solve this inequality problem, we first isolate the variable on one side of the inequality for both expressions. Let's begin with 12x + 4 > 16. We can start by subtracting 4 from both sides to get 12x > 12, then divide each side by 12, resulting in x > 1.
Solve 12x + 4 > 16:
Subtract 4 from both sides to isolate 12x:
12x > 16 - 4
12x > 12
Divide both sides by 12:
x > 1
Solve 3x - 5 < -14:
Add 5 to both sides to isolate 3x:
3x < -14 + 5
3x < -9
Divide both sides by 3:
x < -3
Now, you have two separate solutions:
For the first inequality, x > 1.
For the second inequality, x < -3.
This means the solution graph includes all values of x that are greater than 1 or less than -3. In graphical terms, it's the union of two intervals:
Solution Graph: (-∞, -3) ∪ (1, ∞)
This represents all real numbers less than -3 and all real numbers greater than 1.
Learn more about Inequality Solutions here:https://brainly.com/question/22010462
#SPJ11
work out the value of (3^2)^2 x (10^3)^2
Hey there!
[tex](3^2)^2[/tex] [tex]*[/tex] [tex](10^3)^2[/tex]
[tex]3^2 = 9[/tex][tex](9^2)[/tex] [tex]*[/tex] [tex](10^3)^2[/tex][tex]9^2 = 81[/tex][tex]10^3 = 1000[/tex][tex]81[/tex][tex]*[/tex] [tex]1000^2[/tex][tex]1000^2 =[/tex] [tex]1,000,000[/tex][tex]81[/tex][tex](1,000,000)[/tex] [tex]= 81,000,000[/tex]∴Therefore, your answer would most likely be: [tex]\boxed{81,000,000}[/tex]Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
Answer:
81000000
Step-by-step explanation:
(3^2)^2 x (10^3)^2
PEMDAS says do what is inside the parentheses first
3^2 = 9
10^3 = 1000
3^2)^2 x (10^3)^2
9^2 * 1000^2
Now we need to do the exponents
81 * 1000000
Mow we multiply
81000000
Convert to rectangular form.
Answer:
B
Step-by-step explanation:
= 6cos ([tex]\frac{5\pi }{6}[/tex]) + 6i sin ([tex]\frac{5\pi }{6}[/tex])
the related acute angle of [tex]\frac{5\pi }{6}[/tex] is [tex]\frac{\pi }{6}[/tex]
= - 6 cos ([tex]\frac{\pi }{6}[/tex]) + 6i sin ([tex]\frac{\pi }{6}[/tex])
= - 6 × [tex]\frac{\sqrt{3} }{2}[/tex] + 6 i × [tex]\frac{1}{2}[/tex]
= - 3[tex]\sqrt{3}[/tex] + 3i → B
Please help me on what the next 3 terms would be
[tex]z_0=3-2i\\\\z_{n+1}=2z_n+i\\\\z_1=z_{0+1}=2z_0+i\to z_1=2(3-2i)+i=6-4i+i=6-3i\\\\z_2=z_{1+1}=2z_1+i\to z_2=2(6-3i)+i=12-6i+i=12-5i\\\\z_3=z_2+1}=2z_2+i\to z_3=2(12-5i)+i=24-10i+i=24-9i\\\\Answer:\ \boxed{6-3i;\ 12-5i;\ 24-9i}[/tex]
Tell whether the pair of polygons is similar. Explain why or why not. (3-4 points)
The pair of polygons in the image are not similar. Although they are both rectangles, they do not have the same corresponding side ratios.
A rectangle is defined by having four right angles and two pairs of parallel sides. The corresponding sides of similar rectangles are in proportion. In the image, the rectangle on the left has side lengths of 11 ft and 10 ft, while the rectangle on the right has side lengths of 9.4 ft and 8.4 ft.
The ratio of the corresponding sides is not the same for both pairs of sides. The ratio of the left side lengths is 11 ft / 9.4 ft, which is about 1.17. The ratio of the right side lengths is 10 ft / 8.4 ft, which is about 1.19. Because the corresponding side ratios are not the same, the rectangles are not similar.
Here are some additional points to note:
The rectangles are not drawn to scale, so the visual difference in size may not be accurate.Even though the rectangles have the same shape (both being rectangles), their different sizes mean they are not similar.Find the next number in the sequence 16, 4, 20, 24, 44 and in the sequence 6, 5, 15, 10, 70
The next number in the sequence 16, 4, 20, 24, 44 is 68 and in the sequence 6, 5, 15, 10, 70 is 61.
What is a series?A sequence's series is the total number of terms in the sequence.
A series follows some pattern for example if you take data set of natural numbers then there will be a sequence of that data and something will be due to that we can form that series.
Now the given series are,
16, 4, 20, 24, 44
and 6, 5, 15, 10, 70
Now the difference between the two terms of the series 16, 4, 20, 24, 44
4 - 16 = 12 = 4*3
20 - 4 = 16 = 4*4
24- 20 = 4 = 4*1
44 - 24 = 20 = 4*5
So let x be the next term; hence it can be written as
x - 44 = 4*6
x = 24 + 44
x = 68
Now for the series 6, 5, 15, 10, 70, it is an alternative series,
6 - 1 = 5
5 x 3 = 15
15 - 5 = 10
10 x 7 = 70
So the next term is given as,
70 - 9 = 61
Hence, The next number in the sequence 16, 4, 20, 24, 44 is 68 and in the sequence 6, 5, 15, 10, 70 is 61.
For more information about the series:
brainly.com/question/15415793
#SPJ2
A room is 20 feet long, 12 feet wide, and 10 feet high. What is the maximum distance from one corner to another
Answer:
25.38
Step-by-step explanation:
Its a 3-D block, so you have to find the distance from on corner to the opposite corner of the roof, but first find the distance from corner to corner on the floor.
20^2+12^2=c^2
400+144=544=c^2
c=[tex]\sqrt{544}[/tex]
then find corner of floor to opposite roof corner.
100+544=644=c^2
c=[tex]\sqrt{644}[/tex]
so its about 25.38 feet
Answer:
25.4 ft
Step-by-step explanation:
Let D1 be the distance from one corner to the diagonally opposite one and D2 be the diagonal distance from one corner to the ceiling.
D1² = 20² + 12²
D2² = D1² + 10² Substitute the value of D1²
D2² = 20² + 12² + 10²
D2² = 400 + 144 + 100
D2² = 644
D2 = √(644)
D2 = 2√(161)
D2 ≈ 25.4 ft
Fresh cranberries have 99% of water. Partially dried cranberries have 98% of water. Jack picked 100 lbs of cranberries. How much will they weigh after drying?
Answer:
50 lbs
Step-by-step explanation:
Jack picked 100 lbs of cranberries. If fresh cranberries have 99% of water, then in 100 lbs of cranberries there are 99 lbs of water and 1 lb of "cranberries".
After being dried this 1 lb of "cranberries" form 2% and the rest 98% is the water. Let the weight of the dried cranberries be x lbs, then
x lbs - 100 %,
1 lb - 2 %.
Therefore,
[tex]\dfrac{x}{1}=\dfrac{100}{2},\\ \\x=\dfrac{1\cdot 100}{2}=50\ lbs.[/tex]
The cranberries, starting at 100 lbs with 99% water content, will reduce to 50 lbs after drying, at which point they have 98% water content. The substance weight shouldn't change being 1 lb as only the water content has changed.
Explanation:The subject of your question falls under the category of Mathematics, specifically in Percentage and Weight Change. Given that fresh cranberries have 99% water and you started with 100 lbs, then only 1% of this weight, or 1 lb, is non-water content. This is the weight of cranberries' substance that doesn't change during drying.
The partially dried cranberries are 98% water. So the question is 'What weight would give us 1 lb as 2% (100%-98%=2%) of this weight?' The answer is 1 lb divided by 2% (or 1lb/0.02) which gives us 50 lbs. So, the cranberries will weigh 50 lbs after drying.
Learn more about Percentage and Weight Change here:https://brainly.com/question/32031285
#SPJ3
a concert has tickets for sale. student tickets cost $3.50 and adult tickets cost $5.50. If 30 tickets were sold for a total of $145, how many of each type was sold?
(help me with number 4 too maybe?)
Answer: #5 is 10 student tickets and 20 adult tickets
Step-by-step explanation:
Answer:
20 adult tickets sold and 15 student tickets sold
Step-by-step explanation:
James has an ice cube tray that makes ice in the shape of spheres rather than cubes each sphere of ice has a radius of 2 cm one tray makes 6 spheres what is the total volume of ice the tray can make at one time
Answer:
64pi
Step-by-step explanation:
So the volume of a sphere is 4/3pi r^3. So the total area would be 6*4/3*8*pi. So that’s 64pi.
Answer:
201.06 cubic centimeters.
Step-by-step explanation:
Hello
I think I can help you with this
the volume of a sphere is given by:
[tex]V=\frac{4*\pi*r^{3} }{3}[/tex]
where r is the radius of the sphere
to solve this question you just have to put the values into the formula and multiply by the number of spheres in the ice cube tray
Let
the number of spheres in the ice cube tray=6
radius = 2 cm
the total volume is
[tex]V=6*(\frac{4*\pi*r^{3} }{3})\\V=6*(\frac{4*\pi*(2cm)^{3} }{3})\\v=\frac{192\pi }{3} \\v=201.06\ cubic\ centimeters[/tex]
Have a good day.
what is 8 1 over 4 - 4 3 over 4?
Answer:
3 2/4 is your answer.
Step-by-step explanation:
8 1/4 - 4 3/4
Subtract. Note that one whole number = 4/4 (1 = 4/4)
Now, change the first fraction by breaking down one whole number into fraction form.
8 1/4 = 7 4/4 + 1/4 = 7 5/4
Subtract.
7 5/4 - 4 3/4 = 3 2/4
3 2/4 is your answer.
~
(19 POINTS)Which table represents a proportional relationship?
P 1 3 5 7 9
q 6 8 10 12 14
r 5 10 15 20 25
s 1 2 3 4 5
x 1 2 3 4 5
y 4 7 10 13 16
b 0 3 5 7 9
c 0 4 8 12 16
Plz help!
Answer:
The correct answer is The second table.
Step-by-step explanation:
1x5= 5
2x5= 10
3x5= 15
4x5= 20
5x5= 25
Hope this helps!! (:
Answer:
r 5 10 15 20 25
s 1 2 3 4 5
Step-by-step explanation:
1x5= 5
2x5= 10
3x5= 15
4x5= 20
5x5= 25
A 6-pound watermelon costs $2.40 before a 30% discount. Which equation would allow you to find the discounted price of the watermelon? PLEASE HELP!!!
Answer:
Price after discount = 2.4 (1-.3)
Price after discount = 2.4 (.7)
Step-by-step explanation:
We know the cost after the discount.
Price after discount = original price - original price * discount rate
Factoring out the original price
Price after discount = original price (1- discount rate)
We know the discount rate = .3 and the original price is 2.4
Price after discount = 2.4 (1-.3)
Price after discount = 2.4 (.7)
Price after discount = 1.68
The perimeter of a triangle is 48 centimeters. If two sides are equally long and the third side is 6 centimeters longer than the others, find the lengths of the three sides.
Answer: The three sides are 14, 14, 20
===================================
x = length of the two equal sides
x+6 = length of the third longer side
add up the three lengths x, x, x+6. Set it equal to the perimeter 48. Solve for x
x+x+x+6 = 48
3x+6 = 48
3x+6-6 = 48-6 ... subtract 6 from both sides
3x = 42
3x/3 = 42/3 ... divide both sides by 3
x = 14
If x = 14, then x+6 = 14+6 = 20
The three sides are 14, 14, 20
We can check this by adding up the three sides 14+14+20 = 28+20 = 48 and we get the right perimeter.
Simplify 12(x-4)+4(x+7)
Expand
12x - 48 + 4x + 28
Collect like terms
(12x + 4x) + (-48 + 28)
Simplify
16x - 20
Answer:
16x - 20
Step-by-step explanation:
12(x-4)+4(x+7)
Applying the distributive law to both parentheses:-
= 12x - 48 + 4x + 28
= 16x - 20
Pherris is graphing the function f(x)=2(3)^x.he begins with the point (1,6).which could be the next point on his graph?
Answer:
The function is an exponential,
f(x) = A exp(log(3)x) = 2×3^x = 2(3)^x
The first point you graph for any exponential is (0,A), here (0,2). After (1,6), the next point might be (2,18).
Step-by-step explanation:
(0,2×3^0) = (0,2)
(1,2×3^1) = (1,6)
(2,2×3^2) = (2,2×9) = (2,18)
2(3)^x ought to be written 2×3^x, that is, two times three raised to the x power. x can be any real number.
Since 3 = exp(log(3)), we can substitute for 3 and write 2×exp(log(3))^x. Since exp(p)^q = exp(p×q), the function is also written 2×exp(log(3)x).
exp(x) is also written e^x. exp(x) is the unique function with exp(0)=1, and with the slope of the tangent line at exp(x) equal to exp(x). For instance, the slope at exp(0) is 1, the slope at exp(1) = e is e, slope at exp(2) is exp(2).
for A exp(b x), the slope at x is A b exp(b x).
For 3^x = exp(log(3)x), we have
3^0=1, slope log(3)
3^1=3, slope 3log(3),
3^2=9, slope 9log(3).
Step-by-step explanation: Put 2 as the exponent to get 3x3=9, then do 9x2=18. So x = 2 is y = 18 = (2,18).
How do I set this up to solve
Answer: A. 7.84
Step-by-step explanation:
1. According to the problem given in the image attached, the total energy used was 98 quadrillion Btu.
2. Therefore, if you want to know how many quadrillion Btu of energy were consumed in 2010 from renewable energy sources, you must multiply the percentage given in the circle graph, as following:
[tex]8[/tex]%[tex]=0.08[/tex]
Then:
[tex]98*0.08=7.84[/tex]
3. Therefore, the answer is the option A.
Help QUICKLY.
What is √5/√6 in simplest radical form?
Enter your answer in the box.
Hope this helps!!!!!!!!!
Answer:
Refer to the image attached
Step-by-step explanation:
We can calculate EE, the amount of euros that has the same value as DD U.S. dollars, using the equation E=\dfrac{17}{20}DE=
20
17
D.
Answer:
We are given eqaution: e=\frac{17}{20}d , where e the amount of euros and d is the value as U.S. Dollars.
We need to find number of euros for 1 U.S. Dollar.
Plugging d=1 in the given equation
We get
e=\frac{17}{20}(1)
On simplfying , we get
e=\frac{17}{20}
Dividing 17 by 20, we get 0.85.
Therefore, there would be 0.85 euro have the same value as 1 U.S. Dollar.
Read more on Brainly.com - https://brainly.com/question/11243826#readmore
Step-by-step explanation:
Answer:
0.85 euros.Step-by-step explanation:
There is missing information, the complete question is:
We can calculate e, the amount of euros that has the same value as d U.S. Dollars, using the equation [tex]e=\frac{17}{20}d[/tex], in words, e equals, start fraction, 17 divided by 20, end fraction, d. How many euros have the same value as 1 U.S. Dollar?
Basically, the problem offer a equation that allows to transform certain amount of American dollars into euros. In the expression given, e is the amount of euros and d is the amount of dollars. Now, the problem is asking how many euros would be 1 U.S. Dollar, to do that we have to use the equation and replace values:
[tex]e=\frac{17}{20}d\\e=\frac{17}{20}(1 USD)= 0.85[/tex]
Therefore, one dollar equals 0.85 euros.
There are 24 kids in Miss Finns class 15 are boys how many are girls
Answer: 9
Step-by-step explanation: This is the answer because you would subtract so the equation would be 24-15=9. Hope this helps!
plz i need help for this thx so much
Answer:
12 dollars
Step-by-step explanation:
"95% off" means Charlie pays 5% of the original price (5% + 95% = 100%)
5% = 5/100 = 0.05
Multiply 0.05 with the original price $240 and we get our answer to be 0.05*240 = 12
is 95 or 85 which is bigger
Answer:
Number 95 is bigger than number 85.
Step-by-step explanation:
If we want to find which number is the bigger one; we subtract the numbers in two orders:
95 - 85 = 10
and
85 - 95 = -10
Since the first order (95 - 85) gives a positive answer;
Then it implies that number 95 is bigger than number 85.
Since the second order (85 - 95) gives a negative answer;
Then it implies that number 85 is smaller than number 95.
What is the greatest common factor of 42a5b3, 35a3b4, and 42ab4?
7ab3
6a4b
42a5b4
77a8b7
6x(10x2 + 8x + 2)
12x(5x2 + 4x + 2)
Answer:
the answer is 77a8b7
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
I took the test
simplify b^10/b^2
A.b^-2
B.b^8
C.b^5
D.b^-8
Answer:
the answer here is B
Step-by-step explanation:
Step 1 :
b10
Simplify ———
b2
Dividing exponential expressions :
1.1 b10 divided by b2 = b(10 - 2) = b8
Final result :
b8
Answer:
B) [tex]b^{8}[/tex].
Step-by-step explanation:
Given : [tex]\frac{b^{10}}{b^{2}}[/tex].
To find : simplify.
Solution : We have given [tex]\frac{b^{10}}{b^{2}}[/tex].
By the quotient property of exponential : [tex]\frac{x^{a}}{x^{c}} = x ^{a -c}[/tex].
Here , x = b , a = 10 , c = 2.
[tex]\frac{b^{10}}{b^{2}}[/tex] = [tex]b^{10 -2}[/tex].
[tex]\frac{b^{10}}{b^{2}}[/tex] = [tex]b^{8}[/tex].
Therefore, B) [tex]b^{8}[/tex].
49-c< or equal to 45
thanks
[tex]49-c\leq45\qquad\text{subtract 49 from both sides}\\\\-c\leq-4\qquad\text{change the signs}\\\\\boxed{c\geq4}[/tex]
what are the roots of the equation x^2-8x+65=0
Answer:
x² - 8x + 65 = 0
x² - 8x + 16 = -49
(x - 4)² = -49
x - 4 = ±7i
x = 4 ± 7i