Solve the system of equations x+y=-8 and -9x-6y=60 by combining the equations
Answer:
x = - 4 y = - 4
Step-by-step explanation:
x+y= - 8
-9x-6y=60
First, solve for x in the first equation:
x+y = - 8 Subtract y from both sides
x + y - y = -8 - y y cancels on the left
x = - 8 - y
Now plug in what you found for x into the 2nd equation and solve for y.
- 9x - 6y = 60
-9(- 8 - y) - 6y = 60 Multiply out
72 + 9y - 6y = 60
72 + 3y = 60 Subtract 72 from both sides
72 - 72 + 3y = 60 - 72 72 cancels on the left
3y = - 12 Divie both sides by 3
3y/3 = -12/3 3 cancels on the left because 3/3 = 1
y = -4
Now plug your answer for y back into the first equation to get x.
x + y = -8
x + (-4) = - 8 Add 4 to each side
x - 4 + 4 = - 8 + 4 4 cancels on the left
x = -4
x = - 4 and y = - 4
1. Again we have two methods, A and B, available for teaching a certain industrial skill. There is an 80% chance of successfully learning the skill if method A is used, and a 95% chance of success if method B is used. However, method B is substantially more expensive and is therefore used only 25% of the time (method A is used the other 75% of the time).
A worker learned the skill successfully. What is the probability that he was taught by method A?
2. Again we have two methods, A and B, available for teaching a certain industrial skill. There is an 80% chance of successfully learning the skill if method A is used, and a 95% chance of success if method B is used. However, method B is substantially more expensive and is therefore used only 25% of the time (method A is used the other 75% of the time).
What does a correct probability tree for this problem look like?
Answer:
The probability that a worker was taught by method A given that he learned the skill successfully is 0.72.
Step-by-step explanation:
(1)
The information provided is:
A = if method A is used
B = if method B is used
S = successfully learning the skill
P (A) = 0.75
P (B) = 0.25
P (S|A) = 0.80
P (S|B) = 0.95
Compute the probability that a worker was taught by method A given that he learned the skill successfully as follows:
[tex]P(A|S)=\frac{P(S|A)P(A)}{P(S|A)P(A)+P(S|B)P(B)}[/tex]
[tex]=\frac{0.80\times 0.75}{0.80\times 0.75+0.95\times 0.25}\\\\=\frac{0.60}{0.60+0.2375}\\\\=\frac{0.60}{0.8375}\\\\=0.716418\\\\\approx 0.72[/tex]
Thus, the probability that a worker was taught by method A given that he learned the skill successfully is 0.72.
(2)
The probability is attached below.
4 consecutive integers to equal 2
p − (9 − (m + q)); use m = 4, p = 5, and q = 3
Answer:
3
Step-by-step explanation:
Put the numbers where the variables are and do the arithmetic.
5 − (9 − (4 + 3))
= 5 -(9 -7)
= 5 -2
= 3
Kira received a $20.50 gift card for a photo center. She used it to buy prints that cost 6 cents each. The remaining balance, B (in dollars), on the card after buying x prints is given by the following. B = 20.50 - 0.06x What is the remaining balance on the card if Kira bought 50 prints?
Answer:
Did you check and see if anybody asked this question before on google
Step-by-step explanation:
what's 9 divide by 9
Answer: 1
Step-by-step explanation: When you divide a number by itself, the answer is always 1
The equation 9 ÷ 9 equals 1 because 9 goes into 9 one time.
~ .
The sum of 3 times a number and 5 is 7 Write this as an expression. NEED ASAP
Answer:
(3x • 5 = 7)
your welcome
addition of unlike fractions 5/3 + 7/4
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{3 \frac{5}{12}}}}}} [/tex]
Step-by-step explanation:
[tex] \star{ \sf{ \: \: \frac{5}{3} + \frac{7}{4}}} [/tex]
Convert the given fractions into like fractions.
To do so, Take the L.C.M ( Least Common Multiple ) of 3 and 4.
To find out the L.C.M of given numbers,
First of all, find the prime factors of each numbers.
3 = 3 × 1
4 = 2 × 2 × 1
Take out the common prime factor i.e 1
Also take out the other remaining prime factors i.e 2 , 2 and 3
Now, multiply those all prime factors and obtain L.C.M
= 1 × 2 × 2 × 3 = 12
L.C.M of 3 and 4 = 12
[tex] \dashrightarrow{ \sf{ \frac{5 \times 4 + 7 \times 3}{12}}} [/tex]
[tex] \dashrightarrow{ \sf{ \frac{20 + 21}{12}}} [/tex]
Add the numbers : 20 and 21
[tex] \dashrightarrow{ \sf{ \frac{41}{12}}} [/tex]
Convert the improper fraction into mixed fraction
[tex] \dashrightarrow{ \boxed{\sf{3 \frac{5}{12} }}}[/tex]
Remember : While performing the addition or subtraction of unlike fractions, you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fractions. Thus , obtained fractions should be reduced into lowest terms if there are any common on numerator and denominator. But in case of improper fraction, it needs to be deduced on mixed fraction.
Hope I helped!
Best Regards!
~ TheAnimeGirl
Answer:
3⁵/12
Step-by-step explanation:
5/3+7/4=?
Get the LCM of the denominator which is 12
5×4=20
7×3=21
The fractions are now 21/12+20/12=41/12
Simplify 41/12 to get
3 whole number and 5 over 12 as a fraction
how much is 3/4 of $2.99
Answer:
2.24
Step-by-step explanation:
you multiply 3/4 by 2.99
Answer: $2.24
Step-by-step explanation:
CONCEPT TO KNOWWhen you come across statements such as [a of b] is basically a×b
If you are still confusing, I can provide some numerical examples.
1/2 of 4=2 (1/2 × 4) 4/5 of 5=4 (4/5 × 5)This also applies to your question.
-----------------------------------------------------------
SOLVEa of b
=3/4 of 2.99
=3/4 × 2.99
=$2.24 (rounded)
Parker earns $4 in rewards for every $75 he spends at the grocery store. If he earned $44 in rewards last month. how much did he spend at the store
he spent $825 at the store
Answer:
825$
Step-by-step explanation:
you divide 44 by 4 that gets you 11 then multiply 11 times 75
brainliest for correct answer
Answer:
x=16 y=25 z=14.2
Step-by-step explanation:
Answer:
Step-by-step explanation:
x=16
Joe and Susan were arguing about how
many basic operations existed in math. Joe
argued that there are only 4 operations (addition,
subtraction, multiplication, and division). Susan
disagreed and said there are only 2 operations.
She made a case that when you subtract its just
adding a negative and when you divide its
multiplying by a fraction. Do you agree with
Susan? What is your opinion on this matter?
Answer:
The correct number of basic operations that exist in mathematics is four (addition, subtraction, multiplication and division) because the definition of an operation is the carrying out of a task by the application of principles and these four operation are arithmetic operations that have precedence rules or order of operations, such that we must first multiply or divide before adding or subtracting
Division is different from simply multiplying by a fraction because in Euclidean division, the result is a quotient and a remainder, which shows that division can yield more than one result while multiplication yields a single result
For subtraction and addition, one of the differences is that subtraction cannot be simply commuted
a - b = -(b - a)
Subtraction is non-associative;
a - b - c when arranged as (a - b) - c and a - (b - c), can yield different results depending on operation order which is unlike addition
Therefore, the four basic operations in mathematics are addition, subtraction, multiplication and division
Step-by-step explanation:
Which part of an atom is empty space?
Answer:
the part between the atom and the nucleus
Anyone help pls because this is confusing
Answer:
it is a 25 feet below sea level
Step-by-step explanation:
when you are below sea level you are a negative instead of a postive on sea level
A cashier has a total of 30 bills , consisting of $1 bills, $5 bills and $20 bills. The total dollar amount of these bills is $351. There are nine more $20 bills than $1 bills. How many of each bill denomination are there ?
Answer:
Five= 9 One= 6 Twenty= 15
Step-by-step explanation:
A cashier has a total of 30 bills, made up of ones, fives, and twenties.
o+f+t=30,
The number of twenties is 9 more than the number of ones.
t=9+o,
The total value of the money is $351.
o+5f+20t=351
so we have
o+f+t=30, t=9+o,
o+5f+20t=351
f = 9, o = 6, t = 15
Robert is designing a rectangular window based on the amount of wood he has available to make a frame around the window robert wants the permiter of the window to be 200 inches robert wants the base and the height of the window
Answer:3
Step-by-step explanation:
What is the greatest amount of money that rounds to $108.60 when rounded to the nearest dime? What is the least amount of money that rounds to $108.60? Explain your answers.
Answer:
$108.59Step-by-step explanation:
The dime which is worth 0.10 U.S. dollar, is a ten-cent coin, one-tenth of a United States dollar
the value is 0.1
Now in rounding up of numbers the dime is located one decimal place away i.e 0.5 in the number given in the problem statement
to round up to the nearest dime we have to consider the next number to the dime if this number is greater than 5 we will round up if it is less than five we can not perform any rounding up operation
hence the greatest amount of money is
since the number next to 5 is 9 and 9 is greater than 5 we will round up from 5 to 6
This makes 108.59 the greatest amount of money that rounds to $108.60
write an algorithm that outlines how to bake a birthday cake
Answer:
Start
Collect the ingredients
Mix the ingredients in a bowl to make the batter
Preheat the oven
Grease the baking pan with oil
Pour the batter into the baking pan
Place the pan into the oven
Set a timer
Bake the cake
Check the cake if needed
Take the baking pan out of the oven when the timer turns off
Cool the cake and slice it
Stop
Step-by-step explanation:
The first thing to do is to gather the ingredients of cake like flour, sugar, butter, eggs etc.
Next thing is to mix all the ingredients together to make a mixture of cake.
Next task is to pre-heat the over for example pre-hear the oven to 320°F
Next task is to pour the prepared mixture in to a pan before baking it.
Now place the pan into the oven for baking.
Now set a timer for baking the cake.
You can check if the cake is being baked rightly in between the baking process.
Take the baking pan out of the oven when the timer ends
Place the baking pan to cool it and then cut the cake in to slices.
Enjoy eating!
What is the value of a for the equation below?
15 + 2a = 35
a = 10
a = 5
a = 20
a = 25
Steps to solve:
15 + 2a = 35
~Subtract 15 to both sides
2a = 20
~Divide 2 to both sides
a = 10
Best of Luck!
m∠XWY is twice ∠XWZ. Explain whether JJJG WZ must be the angle bisector of ∠XWZ.
The measure of the angle ∠XWZ will be half of the measure of the angle ∠XWY.
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.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The measure of the angle ∠XWY is twice the measure of the angle ∠XWZ.
∠XWY = 2 ∠XWZ
Simplify the equation, then we have
∠XWZ = ∠XWY / 2
Then the measure of the angle ∠XWZ will be half of the measure of the angle ∠XWY.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
If the mean score on a stress test is 5, the standard deviation is 2, and the distribution is normal, what would be the mean value when converted to a z distribution
Answer: 0
Step-by-step explanation:
Given that :
Mean score on test = 5
Standard deviation on test = 2
Distribution = normal
The mean value when Converted to a z - distribution :
Zscore = (x - mean) / standard deviation.
Hence z score for the mean score will be :
X = mean score
Zscore = ( 5 - 5) / 2
Zscore = 0 / 2
Zscore = 0
Mean value when Converted to a z distribution will be 0
Solve the equation. k/-9 = 7
Answer:
k= -63 and equation answer is 7
Step-by-step explanation:
Answer: Solve for
by simplifying both sides of the equation, then isolating the variable. k= -63
:)
The volume of dry goods, like apples or peaches, can be measured usings bushels, pecks, and quarts. A bushel contains 4 pecks, and a peck contains 8 quarts. What is the relationship between number of bushels, b, and the number of quarts, q?
Answer:
1 bushel = 32 quarts
Step-by-step explanation:
It is given that,
No. of pecks in a bushel = 4
No of quarts in a peck = 8
We need to find the relationship between number of bushels, b, and the number of quarts, q.
No. of quarts in 4 pecks = 4×8 = 32 quarts
It would mean that there are 32 quarts in 1 bushel.
Hence, 1 bushel = 32 quarts
On a test of 80 problems, Bill got 75% of the problems correct. How many question did he get correct?
Answer: 60
Step-by-step explanation:
75% of 80 is 60.
Multiply 80 by .75 to get the answer.
How many question he got correct is 60
Given:
Test = 80 problems,
Correct Answer=75%
Now let calculate How many question he got correct
Numbers of correct question=80×0.75
Numbers of correct question=60
Inconclusion How many question he got correct is 60.
Learn more here:
https://brainly.com/question/20981909
Need help as soon as possible
Answer:
66°
Step-by-step explanation:
h(-3)=(-3)to the power of 2 -3(-3)+5
Answer:
16
Step-by-step explanation:
h(-3)=(-3) 2 -3(-3)+5= put it all in the calculator and it gives you 16
^ ^
-3 -3
Is the product of 2x - 5 and 3x2 + 5x - 7 equal to the product of 5x – 2 and 3x2 + 5x - 7? Explain your answer.
Answer:
see I need help for chemistry pls anyone here helps me I must submit before 10:30
Rewrite the following expression and then evaluate. −4 - 12
What is the least common multiple of 5, 10, and 12? What is the least common multiple of 6, 10, and 12? What is the least common multiple of 2, 4, and 9? help:(
Answer:
LCM of 5, 10, and 12 is 60
6, 10, and 12 is 60
2, 4, and 9 is 36
what is 5.267 in word form
Answer:
five and two hundred sixty-seven thousandths
Step-by-step explanation:
Answer: Five and Two hundred sixty-seven thousandths.
Anything number that has a decimal you must have and.
Put a decimal in word form the word and becomes the decimal.
Any number without a decimal you do not need to put and.
So if 5.267 was actually 5,267 you'll just say five thousand two hundred sixty-seven.