[tex]\rule{300}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}}[/tex]
7=a-5. What does a equal?
[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
When solving an equation, it's always a great idea to make sure all variables are on the left side of the equation and the numbers are on the right.
Since in our equation, we have numbers on both sides, we need to move all numbers to one side:-
7=a-5
This is the same as
a-5=7
Now, add 5 on both sides:-
a=12
So we conclude that a=12.
Good luck with your studies.[tex]\rule{300}{1}[/tex]
Imagine a card game in which you have a 1 out of 10 chance of winning. If you win, you get $10. If you lose, you pay $2. What is the expected value of this game
Answer:
Pay [tex]\$0.8[/tex].
Step-by-step explanation:
Let [tex]X[/tex] denote the observed value of this game. Let positive values denote money received and negative values denote money paid.
There are two possible values for [tex]X[/tex]:
[tex]X = 10[/tex] (receive [tex]\$10[/tex],) and[tex]X = -2[/tex] (pay [tex]\$ 2[/tex].)The probability of each value is:
[tex]P(X = 10) = (1 / 10) = 0.1[/tex] as given in the question.[tex]P(X = -2) = 1 - (1/10) = (9/10) = 0.9[/tex].The expected value of this game, [tex]\mathbb{E}(X)[/tex], is an average of the outcomes [tex]x \in \lbrace 10,\, -2\rbrace[/tex] weighted by the probability [tex]P(X = x)[/tex] of each outcome:
[tex]\begin{aligned}\mathbb{E}(X) &= \sum\limits_{x} x\, P(X = x) \\ &= 10 \times P(X = 10) + (-2) \times P(X = -2) \\ &= 10 \times \frac{1}{10} + (-2) \times \frac{9}{10} \\ &= 1 - 1.8 \\ &= -0.8\end{aligned}[/tex].
The expected value of [tex]X[/tex] is [tex](-0.8)[/tex], meaning that on average, playing this game would require paying [tex]\$0.8[/tex].
Unit 6.6, Lesson 9: Practice Problems
Jarm-Up
Determine the greatest common factor (GCF) for each pair of numbers,
14 and 21
6 and 8
10 and 50
Answer:
the answer is 798 + 789 mawdgghhji the same time as the work of the Maroons
please help!!!!!!!!! This is Aleks
Answer:
For part A the price per pound is the same and for 50 $ it is 10 pounds.
Step-by-step explanation:
If you divide the price by the amount of tuna they will all have an answer of 5. so then you do 50 divided by 5 and get 10.
Evaluate the expression.
(x + 14)
D
А
O
A. 38
B. 36
O C. 45
O D. 40
O E. 26
4. Five hamburgers and two French fries together contain 2160 calories, while four hamburgers and five French fries contain 2680 calories. What’s the calorie count in one hamburger and one pack of French fries?
Answer:
Hamburger is 320 calories. Pack of french fries is 280 calories
Step-by-step explanation:
Represent Hamburgers as H and pack of French Fries as P then set up the equations
5H+2P=2160
4H+5P=2680
Multiply the first equation by 5
25H+10P=10,800
Multiply the second by 2
8H+10P=5360
Subtract the first equation by the second
25H+10P=10,800
-
8H+10P=5360
=
17H=5440
H=320
One hamburger is 320 calories.
Plug in 320 for H
5(320)+2P=2160
1600+2P=2160
2F=560
F=280
One pack of french fry is 280 calories
A local children's author donated 1,055 books to
Homestead Elementary School. The school librarian
will distribute an equal number of books to each of
the 33 classes, and keep any that are left over in
the library. How many books will each class get?
Answer:
31 books
Step-by-step explanation:
1,055 ÷ 33 = 31.96
31 books
Which of the following conditions would guarantee that triangles are identical?
Two triangles with the same angle measurements (Ex:both triangles have angles 35,65, and 90 degrees)
Two triangles have one angle the same and two sides the same measurement (Ex: both triangles have a 40 degree angle and two sides that are 7 and 9 cm
long)
Two triangles have the same side lengths (Ex: both triangles have sides 3, 4, and 5 cm)
Two triangles have two angles the same and one side length the same measurement (Ex: both triangles have angles 62 and 29 degrees and a side length of
10 cm)
2
Answer: Two triangles have the same side lengths (Ex: both triangles have sides 3, 4, and 5 cm)
Step-by-step explanation:
1) This would guarantee similarity, but not necessarily that they are identical.
2) The angle has to be included between the two sides, which is not specifed.
3) This would work (SSS congruence)
4) It is not specified if the side is opposite the corresponding angles.
Nine less than the product of 5 and a number is 6
[tex]let\ x\ be\ the\ number[/tex]
[tex]5x-9=6\\\\5x=15\\\\x=3[/tex]
I'm assuming you want the value of x
The solution for x of log, 22 = 3 is between what two integers?
Answer:
27565541.
Step-by-step explanation:
The diameter of a circle is 10 cm. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Circumference = diameter x pi
Circumference = 10 cm x 3.14
Circumference = 31.4 cm
Question 1 (2 points)
You can prove two triangles are similar...
if they have three proportional sides
if they have two congruent angles
if they have a congruent included angle between two proportional sides
True or False
Answer:
true
Step-by-step explanation:
the answer is true hope it helps
A tablet computer costs $399. A person pays $433.91 in the store. What is the sales tax?
A)8.25%
B)8.75%
C)9.25%
D)9.75%
Answer:
B. 8.75%
Explanation:
Answer:8.75
Step-by-step explanation:
The gross weekly pay is $424. His earnings to date for the year total $11.700. What amount is deducted from her pay this week for social security, which is taxed at 6.4 percent?
A. $748.80
B. $0
C. $424
D. $25.44
E. $27.14
Answer:424
Step-by-step explanation:
i don't know how to explain it but this seems the most correct one, her weekly gross pay is 424 and taxes end up getting taken out of the paycheck not earnings.
(PLEAse someone help me!) (No links!)
Answer:
<4 = 67 degrees
Step-by-step explanation:
angle 1 + angle 4 makes 180 degrees so since angle 1 is 113 degrres
180-113=67
Hope it helps:)
Devin volunteers at Big Pup Rescue. He is mixing up shampoo solution for the dog washing station. He needs 2 cups of shampoo concentrate for every 9 cups of water. Devin will use 36 cups of water.
Answer:
Devin needs 8 cups of shampoo.
Step-by-step explanation:
The ratio for shampoo:water is 2:9, so if Devin uses 36 cups of water, he needs 36/9 x 2 = 8 cups of shampoo
What is this equation called y=mx+b ?
(got another one removed)
Answer: it is called the slope intercept
Answer: Slope-intercept form
Step-by-step explanation:
The equation format of y = mx + b is slope-intercept.
-> m is the slope, or the steepness of the line
-> b is the y-intercept, or where the line intersects the y-axis.
Two people ran in a city election. The winner received 1 more than 3 times as many votes as the runner-up. Let w represent the number of votes the winner received. Let x represent the number of votes the runner-up received. The number of votes the runner-up received is known. Which equation represents the number of votes the winner received?
Answer:
w = 3x + 1
Step-by-step explanation:
Answer:
w=3x+1
Step-by-step explanation:
The winner (w) received 1 more (+1) than 3 times (*3) the number of votes the runner-up received. Since the runner-up is represented by x the number of votes the winner received can be represented by the equation w=3x+1.
Order negative rational numbers from least (1) to greatest (5)
-3.75 -0.55 -3% -1/2 -1/5
Answer: From least to greatest, it goes: -3.75, -0.55, -1/2 -3%, -1/5
Cd Express offers 4 CDs for $60. Music place offers 5 CDs for $75. Which store offers the better buy?
Answer:
Music place offers better buy with $12.50
Step-by-step explanation:
Explanation:
To solve, we need to find the cost for 1 CD at both places. To do this, divide the total amount by how many CDs are bought. At CD Express, $60/4=$15, while at Music Place, $75/6=$12.50. Since Music Place is cheaper, Music Place offers a better buy.
4x-6+x+3 what is the value of x ?
Answer: [tex]5x-3[/tex]
Step-by-step explanation:
First, [tex]4x-6+x+3~ < --- Simplify ~the ~expression[/tex]
[tex]4x+x-6+3[/tex]
Add the numbers [tex]-6+3=-3[/tex]:
[tex]4x+x-3[/tex]
Add similar elements [tex]4x+x=5x[/tex]:
[tex]=5x+3[/tex]
Answer:
[tex]\boxed{\tt 5x−3}[/tex]
Step-by-step explanation:
[tex]\tt 4x−6+x+3 [/tex]
Combine 4x and x = 5x:-
[tex]\tt 5x−6+3[/tex]
Now, Add -6 and 3 = -3:-
[tex]\tt 5x−3[/tex]
- :)
Please help me on this!
plsss help ill give brainiest
To solve this problem, we have to use the area of both gauze or the dimensions on each gauze and compare them. we can see that the sheets are not similar as they have different areas.
Area of RectangleThe area of a rectangle is given as the product between the length and it's width.
Data;
Length = 9inArea = 45in^2width = ?length 2 = 4inwidth 2 = 3in[tex]area = length * width[/tex]
In the first gauze, the area is given as 45in^2 and we have value of the length. To find the width of the first gauze can be calculated as
[tex]A = length * width\\width = \frac{area}{length} \\width = \frac{45}{9} \\width = 5in[/tex]
We can see that the width are not equal so is their length.
But if we would truly compare them, the accurate way to do that is by their area
The area of the second gauze is given by
[tex]a = 3 * 4 = 12in^2[/tex]
From the above calculations, we can see that the sheets are not similar as they have different areas.
Learn more on area of a rectangle here;
https://brainly.com/question/25292087
HELPP FOR BRIANLEST PLS
Answer:
63
Step-by-step explanation:
the sum of the interior angles of a triangle is 180
so,
70+47= 117
180-117= 63
Answer:
Your answer is 63°
Explanation:
47 + 70 + angle C = 180° (Sum of all angles of a triangle is 180).
117 + angle C = 180°
So,angle C =180 - 117= 63°
Find the value of x.
Answer:
sum of an exterior angle is 360
2x+56+85+57+4x=360
6x+198=360
6x=360-198
6x=162
x=162/6
x=27
What’s the answer????
it questions is my level very hard questions
Step-by-step explanation:
graph x axis
A chord of a circle is 18 cm long to. It is 6. 3cm from the center of the circle. Calculate the radius of the circle to the nearest whole number
Answer: 11
Step-by-step explanation:
By the Pythagorean theorem, x is about 11 cm.
Solve for the variable
12 = r/6
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
[tex]\bold{12 = \frac{r}{6} } \\ [/tex]
let's take 6 to the other side ~
[tex] \\ \bold{\implies \: r = 12 \times 6} \\ \\ \implies \: \bold\pink{r = 72}[/tex]
hope helpful ~
Answer:
r=72
Step-by-step explanation:
multiply both sides by 6 —> 12x6=r/6x6
12x6=r
73=r
ur welcome :)
brainliest please?
can someone help me out with this problem? Thank you!
Answer:
three (3).
Step-by-step explanation:
H=O+A
c^2=5^2+12^2
c^2=25+144
c^2=169
c=√169
c=13
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's calculate the value of c using Pythagoras theorem ~
[tex]\qquad \sf \dashrightarrow \: c {}^{2} = a {}^{2} + {b}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: c {}^{2} = {5}^{2} + {12}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: c = \sqrt{25 + 144} [/tex]
[tex]\qquad \sf \dashrightarrow \: c = \sqrt{169} [/tex]
[tex]\qquad \sf \dashrightarrow \: c = 13 \: units[/tex]
Toby just graduated from four years of college. at the beginning of each year, he took out a stafford loan with a principal of $6,125. each loan had a duration of ten years and an interest rate of 5.3%, compounded monthly. all of the loans were subsidized. toby plans to pay off each loan in monthly installments, starting from his graduation. what is the total lifetime cost for toby to pay off his 4 loans? round each loan's calculation to the nearest cent. a. $7,904.04 b. $31,616.16 c. $10,393.82 d. $36,490.25 please select the best answer from the choices provided a b c d
If he starts paying after four years, the worth of the loans by then is b. $31,616.16
What is a Loan?This refers to the amount collected from a lender to be repaid after a given time, usually with added interest.
Hence, we can see that:
The effective monthly interest rate is:
i = 0.053/12 = 0.0044
The effective annual interest rate is:
i = (1 + 0.0044)^12 -1 = 0.0543
The present worth of all the loans is:
P = 6125 + 6125 (1 + 0.0543)^-1 + 6125 (1 + 0.0543)^-2 + 6125(1 + 0.0543)^-3
P = $22,671.40
If he pays them prompty, then the total lifetime cost would be
P = 22671.40 (1 + 0.0543)^4 = $31,616.16
Read more about loans here:
https://brainly.com/question/2363571
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