Answer:
B
Step-by-step explanation:
x * ( 7 - x ) > 8
Substitute the number and if the expression is True then that number is a solution.
A substitute x=8
x * ( 7 - x ) > 8
8 * ( 7 - 8 ) > 8
8 * ( -1 ) > 8
-8 > 8
This statement is FALSE so the number is not a solution of the inequality.
B substitute x=2
x * ( 7 - x ) > 8
2 * ( 7 - 2 ) > 8
2 * ( 5 ) > 8
10 > 8
This statement is True so the number is a solution of the inequality.
C substitute x=-1
x * ( 7 - x ) > 8
-1 * ( 7 - -1 ) > 8
-1 * ( 7 + 1 ) > 8
-8 > 8
This statement is FALSE so the number is not a solution of the inequality.
D substitute x=0
x * ( 7 - x ) > 8
0 * ( 7 - 0 ) > 8
0 * ( 7 ) > 8
0 > 8
This statement is FALSE so the number is not a solution of the inequality.
If h = 7 inches and r = 3 inches, what is the surface area of the geometric shape formed by this net?
Answer:
7 inchedhmutk84ky2oy73873uryr
Answer:
21porqse multiplica dos +64+55+776th grade math help me please :))
Answer:
1: 7 2: 3
Step-by-step explanation:
Answer:
1.)x=7
2.)x=27
Step-by-step explanation:
1.) 84/12=7
2.) 9*3=27
27/9=3
solve the system of equations y=4x+1, y=x2+2x-2
What is the probability of flipping a coin 8 times and getting heads 2 times? Round your answer to the nearest tenth of a percent.
Step-by-step explanation:
This problem is related to binomial probability
Probability of getting head (success)p= 1/2
Probability of getting tail (failure )q=1/2
Total number of trials(n) = 8
number of success (r)= 3
Binomial probability P(r=3)
[tex]nCr(p)^{n-r}q^r[/tex]
Plug in the values in the formula
[tex]nCr(p)^{n-r}q^r\\8C3(\frac{1}{2} )^{8-3}\frac{1}{2} ^3\\ \frac{8!}{3!(8-3)!} (\frac{1}{2} )^8\\56 \cdot (\frac{1}{256} )\\0.21875[/tex]
To convert it into percentage , multiply by 100
0.21875 times 100= 21.9
Answer :
21.9%
The 9th graders are selling tickets to raise money for a class field trip. They are selling student tickets for $5 and adult tickets for $9. The 9th graders received a total of $240 from sales. In total, 40 tickets were sold. Write a system to represent this situation. Be sure to define your variables. Use your system to determine how many tickets of each type the students sold.
Answer:
Total number of adult tickets sold = 10
Total Number of Students tickets sold = 30
Step-by-step explanation:
Let [tex]x[/tex] be the number of student tickets sold.
Let [tex]y[/tex] be the number of adult tickets sold.
As per the question statement, total tickets sold are 40.
[tex]x +y =40 ...... (1)[/tex]
Price of each student ticket = $5
Sales from students' tickets = Price of each students ticket [tex]\times[/tex] Number of students tickets sold
Sales from student's tickets = 5 [tex]\times x[/tex]
Price of each adult ticket = $9
Sales from adult's tickets = Price of each adult's ticket [tex]\times[/tex] Number of adult tickets sold
Sales from student's tickets = 9 [tex]\times y[/tex]
Total sales is done by students and adult tickets is $240 as per the question statement.
[tex]\Rightarrow 5x + 9y = 240 ......(2)[/tex]
Solving equations (1) and (2) using elimination method:
Equation [tex](2) - 5 \times (1)[/tex] :
[tex]5x + 9y -5x-5y = 240-200\\\Rightarrow 4y = 40\\\Rightarrow y =10[/tex]
Total number of adult tickets sold = 10
Putting [tex]y=10[/tex] in equation (1):
[tex]x+10 = 40\\\Rightarrow x = 30[/tex]
Total number of students tickets sold = 30
Total number of adult tickets sold = 10
Total Number of Students tickets sold = 30
Dayle and his two brothers each eat 5/12 of a chocolate bar. How much
chocolate bar did they eat altogether? Solve and explain your work *
Answer:
Shown from explanation below.
Step-by-step explanation:
If they both eat 5/12 each, it means they would both eat;
5/12 + 5/12 = (5 + 5)/12 = 10/12 = 5/6 of a bar.
Answer:
5/12 per brother x 3/1 brothers = 15/12 chocolate bars ate so the brothers ate 15/12 chocolate bar because each brother ate 5/12 and there are 3 brothers so we multiply
15/12 = 1 1/4 = 5/4
Step-by-step explanation:
An equation is a mathematical sentence that compares expressions that are
Answer:
An equation is a mathematical statement that two expressions are equal. The solution of an equation is the value that when substituted for the variable makes the equation a true statement.
Step-by-step explanation:
In which diagram are angles 1 and 2 vertical angles?
2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1.
3 lines extend from a point and form 2 angles, labeled 1 and 2. Both angles add up to 90 degrees.
A horizontal line has 2 lines extending from a midpoint forming 3 angles. Labeled from left to right: 1, 2, 3.
A horizontal line intersect with another line forming 4 angles. Labeled clockwise from top-left: 1, 2, blank, blank.
Answer:
Yes, the answer is A
Step-by-step explanation:
2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1. Then the correct option is A.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Vertically opposite angle – When two lines intersect, then their opposite angles are equal.
2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1.
Then the correct option is A.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ5
PLEASE ANSWER ASAP! WILL GIVE BRAINLIEST+12 POINTS!
Rewrite the expression in the form a^n
(a^5)^2
Answer:
a¹⁰
Step-by-step explanation:
[tex](x^{m} )^{n} =x^{mn}[/tex]
So here we have (a⁵)², meaning we need to multiply the exponents to get a¹⁰
Please help !! ASAP !!
All chooses are true or false.
Answer:
T,F,T,T
Step-by-step explanation:
I’m not sure how technical they’re being with the last prompt but he would actually make 108 checkouts by clock out time. Sooo I’d say true, since he made more than inferred, rather than less.
Answer:
The first one is technically both because he will complete 18 every hour, not 16
The second one is false
Third one is true
and the fourth one is kind of like the first one where he will complete 108 in the span of 6 hours which is more than expected
Hope this helps
Step-by-step explanation:
nine thousand and ninety
Answer:
I don't really know what your asking but you write nine thousand and ninety like 9090.
Step-by-step explanation:
Hope this helped :)??
The Royal Fruit Company produces two types of fruit drinks. The first type is 55% pure fruit juice, and the second type is 85% pure fruit juice. The company is attempting to produce a fruit drink that contains 60% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 60 pints of a mixture that is 60% pure fruit juice?
Answer: We need we need 10 pints of the second fruit juice (85% pure fruit juice). Therefore, we need
(60-10 = 50) pints of the first fruit juice (55% pure fruit juice).
Step-by-step explanation:
Let x be number of pints of the first fruit drink which is ( 55% pure fruit juice), while y will be the number of pints of second fruit drink (85% pure fruit juice).
We know that there are 60 total pints. Therefore:
x + y = 60
We also know that 60% of the 60 pints will be pure fruit juice, and the pure fruit juice will either come from
x or y.
For x pints of first juice, there is 0.55x pure fruit juice while for y pints of first juice, there is 0.85y pure fruit juice. Therefore, we get:
0.55x + 0.85y = 60 × 0.6
0.55x + 0.85y = 36
We will get rid of the decimals by multiplying through by 100. This will be:
55x + 85y = 3600
Combining both equations
x + y = 60 .......... i
55x + 85y = 3600 ........ ii
Multiply equation i by 55
Multiply equation ii by 1
55x + 55y = 3300
- 55x + 85y = 3600
Then subtract
-30y = -300
y = 10
Therefore, we need we need 10 pints of the second fruit juice (85% pure fruit juice). Therefore, we need
(60-10 = 50) pints of the first fruit juice (55% pure fruit juice).
Una persona observa en un ángulo de 54° lo alto que es un edificio; si la persona mide 1,72 metros y está ubicada a 18 metros de la base del edificio.
a) cuál es la altura en metros del edificio
Answer:
[tex]h=26.49m[/tex]
Step-by-step explanation:
First, take a look at the picture I attached you. It is a drawing which represent the problem.
As you can see from the picture the building height [tex]h[/tex] would be the sum of the person's height plus the length of the side [tex]a[/tex] of the triangle:
[tex]h=1,72m+a[/tex]
There are many ways to solve this problem, however I believe that the easiest one is using tangent identity which states:
[tex]tan(\theta) =\frac{opposite}{adjacent}[/tex]
Hence:
[tex]tan(54)=\frac{a}{18}[/tex]
Solving for [tex]a[/tex]:
[tex]a=tan(54)*18=24.77487457\approx24.77m[/tex]
So the building height is:
[tex]h=1.72+24.77=26.49487457\approx26.49m[/tex]
Translation:
Primero, mira la imagen que te adjunté. Es un dibujo que representa el problema.
Como puede ver en la imagen, la altura [tex]h[/tex] del edificio sería la suma de la altura de la persona más la longitud del lado [tex]a[/tex] del triángulo:
[tex]h=1,72m+a[/tex]
Hay muchas maneras de resolver este problema, sin embargo, creo que la más fácil es usar la identidad de la tangente que establece:
[tex]tan(\theta) =\frac{opuesto}{adyacente}[/tex]
Por lo tanto:
[tex]tan(54)=\frac{a}{18}[/tex]
Resolviendo para [tex]a[/tex]:
[tex]a=tan(54)*18=24.77487457\approx24.77m[/tex]
Entonces la altura del edificio es:
[tex]h=1.72+24.77=26.49487457\approx26.49m[/tex]
Given the functions f(x) = x(x-2) and g(x) = 2x + 4, which is the corresponding table?
Answer:
see below
Step-by-step explanation:
One of the ways you can tell is that g(x) is always even. Only one table has that.
g(x) = 2(x +2)
g(x) has a factor of 2 in every result, so cannot be odd for any integer x.
what is 4 3/8 - 5 1/2 ? Enter your answer as a fraction in simplest form
Answer:
6 1/6
Step-by-step explanation:
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
The answer is (c) as you can see that in (c) option , every element has only 1 image , which is not in the case of others
find the distance between the points (3,4) and (-8,4)
Answer:
Distance = 11
Step-by-step explanation:√(-11)^2+0^2
√(121+0)
√(121)=11
Answer:
11
Step-by-step explanation:
A 13 ft ladder is resting on a wall. The angle the ladder makes with the floor is 45 degrees. How high off the ground is the top of the ladder?
Use the function y=13cos(theta) to find the answer
Answer:
height = 9.19 ft
Step-by-step explanation:
The ladder is resting on a wall. The angle the ladder makes with the floor is 45°. The ladder is 13 ft. The illustration forms a right angle triangle.
The hypotenuse side of the right angle triangle is 13 ft . The opposite side of the right angle triangle is the unknown which is the height off the ground the top of the ladder. Therefore,
Using ratio
sin ∅ = opposite/hypotenuse
sin ∅ = opp/13
sin 45° = opp/13
cross multiply
13 sin 45 = opp
opp = 13 × 0.70710678118
opp = 9.19238815543
height = 9.19 ft
OrYou can use the following base on your equation(y = 13 cos ∅)
The other angle will definitely be 45° since total angle in a triangle is 180°. 180 - 90 - 45 = 45°.
The adjacent side of the triangle will be the unknown side if we use cosine ratio.
cos ∅ = adjacent/hypotenuse
cos 45° = adjacent/13
cross multiply
From your equation you represented adjacent as y therefore,
y = 13 cos 45°
y = 13 × 0.70710678118
y = 9.19238815543
y = 9.19 ft (which is the required height)
Is the decimal expansion of this fraction repeating or terminating?
23/0
Answer:
Terminatng
Step-by-step explanation:
if you divide any number by 0 . the quotient would be 0 .
Answer:
neither
Step-by-step explanation:
The value of 23/0 is "undefined." It has no decimal expansion.
Captain Ishaan has a ship, the H.M.S Crimson Lynx. The ship is four furlongs from the dread pirate Michael and his merciless band of thieves. If his ship hasn't already been hit, Captain Ishaan has probability 2/5 of hitting the pirate ship. If his ship has been hit, Captain Ishaan will always miss. If his ship hasn't already been hit, dread pirate Michael has probability 3/8 of hitting the Captain's ship. If his ship has been hit, dread pirate Michael will always miss. If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that both the Captain and the pirate hit each other's ships?
Answer: 2/5 x 0= 0
Step-by-step explanation:
A circle has a radius of 6/7 units and is centered at (-2.3, 0). Write the equation of this circle.
Answer:
[tex](x+2.3)^{2} +y^{2} =36/49[/tex]
Step-by-step explanation:
To get the equation of a circle we plug your information into this equation:
[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]
Your h is the x coordinate of the center, -2.3 and your k is the y coordinate of the center, 0. The r is your radius. So we plug these values in to get [tex](x+2.3)^{2} +y^{2} =(6/7)^{2}[/tex] which then gives us the final answer of [tex](x+2.3)^{2} +y^{2} =36/49[/tex].
alguien puede ayudarme
Calcula en cuánto se transforman C$ 1,000.00 en un año al 7% anual si los periodos de capitalización son semestrales.
Answer:
8
Step-by-step explanation:
simplemente encuentre el total de los 8 pagos. Hay 8 pagos ya que habrá 8 retiros totales: (2 años) × (cuatro retiros por año) = 8 retiros.
Is a quadrilateral a square? (True or False)
PLEASE HELP QUICKLY!
Answer:
True
Step-by-step explanation:
A curve has the equation y=(k+x/2)In 2x
The normal to the curve at B(0.5, 0) is parallel to the line 29 y = 6x +5.
Find the value of k.
Answer:
the answer is 92
Step-by-step explanation:
What is 2 log (5x) +1/3 log (x2+6
Answer:
Step-by-step explanation:
(5x)² + ∛(x²+6)
Answer:
Log 5x^2 ( x^2 + 6) ^(1/3)
Step-by-step explanation:
Explanation shown in the attachment; this could have been further simplified using binomial expansion
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
B
Step-by-step explanation:
If you shifted this equation 7 units to the right and 3 down, the new formula would be [tex]4(x-7)^2-19[/tex], or answer choice B. Hope this helps!
There are 644 boys and 520 girls in a school. The probability that a boy is chosen at random studies French is 3/7. The probability that a girl is chosen at random studies French is 5/8.
a) Work out the number of students in the school who study french
b) What is the probability, as a fraction, that a student chosen at random from the whole school does NOT study French
Answer:
a. 601
b.
[tex]\frac{563}{1164}[/tex]
Step-by-step explanation:
a. The number of students in the school who study french:
The number of boys who study french + The number of girls who study french:
= (3÷7)×644+(5÷8)×520
= 601
b. the probability that a student does NOT study French :
= P(boy does not study french) + P(girl does not study french)
[tex]=(\frac{644}{1164} ) (1-\frac{3}{7} )+(\frac{520}{1164} )(1-\frac{5}{8} )\\\\= \frac{563}{1164}[/tex]
Please answer number two I will give brainliest thank you!
Answer:
42
Step-by-step explanation:
arrange the numbers either in ascending or descending order and find the one right in the middle
Pham can work as many or as few hours as she wants at the college bookstore for $10 per hour. But due to her hectic schedule, she has just 20 hours per week that she can spend working at either the bookstore or at other potential jobs. One potential job, at a café, will pay her $12 per hour for up to 5 hours per week. She has another job offer at a garage that will pay her $11 an hour for up to 2 hours per week. And she has a potential job at a day care center that will pay her $8.50 per hour for as many hours as she can work. If her goal is to maximize the amount of money she can make each week, how many hours will she work at the bookstore?
Answer:
16 hours per week
Step-by-step explanation:
Pham can earn TR1 = $11*16 = $176 at the college bookstore.
At a café she can earn TR2 = $12*6 = $72.
At a garage she can earn TR3 = $10*5 = $50.
At a daycare center she can earn TR4 = $8.50*16 = $136.
If her goal is to maximize the amount of money she can make each week, then she should work 16 hours per week at the bookstore to earn $176.
-stated by a math superior online
Answer:
oof
Step-by-step explanation:
Charlene and Gary want to make trail mix. In order to get the right balance of ingredients for their tastes they bought 3 pounds of raisins at $2.67 per pound, 3 pounds of peanuts for $2.73 per pound, and 5 pounds of chocolate chips for $3.27 per pound. Determine the cost per pound of the trail mix.
The cost per pound of the trail mix is $________.
Answer:
$2.96
Step-by-step explanation:
3x$2.67=$8.01
3x$2.73=$8.19
5x$3.27=$16.35
$8.01+$8.19+$16.35=$32.55
This makes 11 pounds of trail mix.
$32.55 divided by 11 = $2.9590909 = $2.96