Answer:
x = 1
y = -1
z = 2
Step-by-step explanation:
You have the following system of equations:
[tex]x+2y-z=-3\ \ \ \ \ (1)\\\\2x-y+z=5\ \ \ \ \ \ (2)\\\\x-y+z=4\ \ \ \ \ (3)[/tex]
First, you can subtract euqation (3) to equation (1):
x + 2y - z = -3
-x +y -z = - 4
0 3y -2z = -7 (4)
Next, you can multiply equation (3) by 2 and subtract it to equation (2):
2[ x -y + z = 4]
-2x +y -z = -5
0 -y + z= 3 (5)
You multiply equation (5) by 2 and sum (5) with (4):
2[ -y + z = 3]
3y -2z= -7
y + 0 = -1
Then y = -1
Next, you replace y=-1 in (5) to obtain z:
-(-1) + z = 3
z = 2
Finally, you can replace z and y in the equation (3) to obtain x:
x - (-1) + (2) = 4
x = 1
Answer: x=1 y=-1 z=2
Step-by-step explanation:
What is the Solution?
Answer: w=2 and 2=6
Step-by-step explanation:
If you substitute 6 and 2 in for w they both work, making c the correct answer
Answer:
w = 2 and w = 6
Step-by-step explanation:
Given
[tex]\frac{w}{2w-3}[/tex] = [tex]\frac{4}{w}[/tex] ( cross- multiply )
w² = 4(2w - 3) ← distribute
w² = 8w - 12 ( subtract 8w - 12 from both sides )
w² - 8w + 12 = 0 ← in standard form
(w - 2)(w - 6) = 0 ← in factored form
Equate each factor to zero and solve for w
w - 2 = 0 ⇒ w = 2
w - 6 = 0 ⇒ w = 6
Beth participated in a free throw contest. She took 10 shots, and she made 6 of them.
Beth wants to know how to describe the number of baskets she made.
Answer:
Beth made 60% of her shots.
Step-by-step explanation:
Given:
Total shots take = 10
Total goal = 6
Find:
Best describer this number.
Computation:
Converting goal numbers into percentage:
⇒ Total goal percentage = [Total goal/Total shots take]100
⇒ Total goal percentage = [6/10]100
⇒ Total goal percentage = 60%
Beth made 60% of her shots.
Answer:
6:10 is the ratio
Step-by-step explanation:
as a fraction it would be 6/10
as a decimal it would be 0.60 or 0.6
and she made 60% of her shots
you flip a coin 20 times. you land on heads 13 times. what is the percent error?
Answer:
65%
Step-by-step explanation:
You have to do 13 divided by 20 and get 0.65 and then multiply by 100
and get 65
-3(x + 4) = (-x - 1)
Answer:
x=-5.5
Step-by-step explanation:
-3(x+4)=(-x-1)
1. Distribute
-3x+(-12)=-x-1
2. Simplify
-3x-12=-x-1
-2x-12=-1
-2x=11
x=-11/2
x=-5.5
Answer:
-11/2 or 5.5
Step-by-step explanation:
In construction, floor space must be planned for stair cases. If the vertical distance between the first and second floors it's 3.6 m and a contractor is using the standard step pattern of 28 cm wide for 18 cm high and how many steps are needed to get the first to the second floor and how much linear distance( ie "width" or "base" ) Will be needed for the staircase? What is the length of the railing that would be attached to these stairs
Answer:
665.73 cm or 6.65 m
Step-by-step explanation:
The first thing is to pass the distance in meters to centimeters, knowing that 1 meter equals 100 centimeters:
3.6m * 100cm / 1m = 360cm
Now we calculate the number of steps:
360 cm / 18 cm = 20 steps
Now each step measures 28 cm, therefore:
20 * 28 = 560 cm
To calculate the length of the ladder, we must apply Pythagoras:
c ^ 2 = a ^ 2 + b ^ 2
a = 360; b = 560
replacing:
c ^ 2 = 360 ^ 2 + 560 ^ 2
c ^ 2 = 443200
c = 665.73
665.73 cm in meters would be 6.65 meters.
Frank measured 56 cm. The actual length was 61 cm. Which expression shows his percent error?
Answer: 8.54701% difference
Step-by-step explanation: (61-56)/[(61+56)/2] x 100= 8.55%
what is k if k-3/4 = 10
Answer:
Move all terms not containing k to the right side of the equation.
Exact Form:
k = 43/4
Decimal Form: k = 10.75
Mixed Number Form:
k = 10 3/4
Understanding Different Types of Credit
Check
Sort each scenario into the correct category based on the type of credit it represents.
title loan with collateral
Easy-Access Credit
Open-End Credit
V
Closed-End Credit
car loan
two-week payday loan
credit card
home loan
$2000 monthly line of credit
) Intro
Done
Answer:
EASY-ACCESS CREDIT:
1. title loan with collateral
2. two-week payday loan
OPEN-END CREDIT:
1. Credit card
2. $2000 monthly line of credit
CLOSE-END CREDIT:
1. home loan
2. car loan
The division of category on the basis of type of credit would be as follows:
Easy-Access Credit
1. Title loan with collateral
2. Two-week payday loan
OPEN-END CREDIT:
1. Credit card
2. $2000 monthly line of credit
CLOSE-END CREDIT:
1. Home loan
2. Car loan
Collateral CreditCredit is described as the amount that has been added to a specific account.
Easy-access credit is defined as the credit that is granted for an extremely short period of time and for such loans, the interests are extremely high.
While the open credit keeps the amount lent on repeat which is set at a particular limit(maximum).
Close-end credit in which the amount remains specified initially while it is being lent.
Learn more about "Credit" here:
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Solve using substitutions! Help w this question please!!
I hope this helps you
You randomly survey men and women about whether they plan to watch a football game on Sunday afternoon. A total of 40 men plan to watch a football game and a total of 17 women do not plan to watch a football game. A total of 45 women are surveyed. A total of 33 people do not plan to watch a football game. How many people did you survey?
Answer: 101
Step-by-step explanation:
45 women total
17 women will not watch the game
So 33 people did not want to watch the game and 17 are women
33-17 = 16 men who won’t watch the game
So 40 men who will and 16 men who won’t equals 56 men and 45 women
56+45= 101
7. What is the value of the expression 3(2 - 7)
Answer:
-15
Step-by-step explanation:
3(2 - 7)
PEMDAS says parentheses first
Subtract
3 (-5)
Multiply
-15
When we plot all the points that satisfy an equation or inequality we __ it.
Need help Soon as possible
Answer:
D; D
Step-by-step explanation:
The common difference of the first sequence is 10, so the coefficient is 10. The first term minus the common difference is -8, so that is the constant
The common difference of the second sequence is 3, so the coefficient is 3. The first term minus the common difference is -9, so that is the constant.
which of the following is the solution to the inequality below?
-3 (x -3) > 5 - 5x
A) x > -2
B) x > -1/2
C) x < 2
D) x < - 1/2
Answer:
x >-2
Step-by-step explanation:
-3 (x -3) > 5 - 5x
Distribute
-3x +9 > 5-5x
Add 5x to each side
-3x +9+5x > 5-5x+5x
2x +9> 5
Subtract 9 from each side
2x+9-9>5-9
2x > -4
Divide each side by 2
2x/2 >-4/2
x >-2
Answer:
A. x > -2.
Step-by-step explanation:
-3 (x -3) > 5 - 5x
-3x + 9 > 5 - 5x Subtract 9 from both sides and add 5x to both sides:
-3x + 5x = 5 - 9
2x > -4
x > -2.
Five people buy individual insurance policies. According to the research, the probability of each of these people not filing a claim for at least 5 years is . The probability that all 5 have not filed a claim after 5 years is , and the probability that exactly 3 will have filed a claim after 5 years is . Reset Next
The complete question is;
Five people buy individual insurance policies. According to the research, the probability of each of these people not filing a claim for at least 5 years is 2/3.
The probability that all 5 have not filed a claim after 5 years is A: 0.132 B: 0.868 C: 1 , and the probability that exactly 3 will have filed a claim after 5 years is A: 0.016 B: 0.033 C: 0.067
Answer:
1) P(all 5 file no claim after 5 years) = 0.132
2) P(exactly 3 file claim after 5 years) = 0.033
Step-by-step explanation:
1) we are told that the probability of each of these people not filing a claim for at least 5 years is 2/3.
Thus, for all 5 of them,
The probability will be;
P(all 5 file no claim after 5 years) = (2/3)^5 = 0.1317 ≈ 0.132
2) since probability of each not filing a claim for last 5 years = 2/3
Then probability of each filing a claim after 5 years = 1 - 2/3 = 1/3
So, P(exactly 3 file claim after 5 years) = (1/3)^3 ≈ 0.037.
The closest answer is 0.033.
Answer: not have filed a claim: 0.132
Will have filed a claim 0.165
Step-by-step explanation: I got this right on Edmentum
Starting at home, Michael traveled uphill to the gift store for 25 minutes and just 10 mph. He then travel back home along the same path downhill at the speed of 30 mph.
What is his average speed for the entire trip from home to the gift store and back?
Answer:it took him 8 minutes on the return trip, for a round-trip time of 32 minutes. his average speed was (8mi/32min) (60min/hr)=15 mph for the whole trip
Step-by-step explanation:
Everything what’s the answer using the order of operations
Answer:
7*3=21
8-5=3
21+3-24
Step-by-step explanation:
HELP PLEASE!!!
Need help with 11 or 12
Thank you!!!
Answer:
11) 30.7
12) 16.3
Step-by-step explanation:
11)
[tex]\dfrac{\sin 50}{12}=\dfrac{\sin B}{8}[/tex]
Multiply both sides by 8:
[tex]\sin B=\dfrac{2\sin 50}{3}[/tex]
[tex]B=\sin^{-1}\dfrac{2\sin 50}{3}\approx 30.7[/tex]
12)
[tex]\dfrac{\sin 25}{7}=\dfrac{\sin 80}{C}[/tex]
[tex]C=\dfrac{\sin 80}{\frac{\sin 25}{7}}\approx 16.3[/tex]
Hope this helps!
Please help please please now I nee help
Answer:
AC =3.76
Step-by-step explanation:
sin theta = opposite / hypotenuse
sin 70 = ? / 4
Multiply each side by 4
4 sin 70 = ?
3.758770783 = ?
Rounding to nearest hundredth
3.76 = ?
AC =3.76
Answer:
3.76 units
Step-by-step explanation:
We want to use trigonometry to solve this - specifically, the trigonometric function sine, which is opposite divided by hypotenuse.
Here, the opposite side is AC, which is what we want to find, while the hypotenuse is AB, which is 4. The angle itself is angle ABC, which is 70 degrees. Now, write:
sin(70) = opposite / hypotenuse = AC / 4
Multiply both sides by 4:
AC = 4 * sin(70) ≈ 3.76 units
A shelf at a grocery store contains 500 packages of corn and flour tortillas. If 22% of the packages are flour tortillas how many packages are corn tortillas
Select the expressions that are equivalent to 6(x + 7).
(7 + x) 6
6x + 42
(x + 7)6
42x + 6
Answer:
[tex]6x + 42[/tex]
Step-by-step explanation:
Apply the distributive property:
[tex]6x + 6 \times 7[/tex]
Multiply 6 by 7
[tex]6x + 42[/tex]
If X - 14 = 465, what is the value of X?
Answer: The value of x is 479
Step-by-step explanation:
x -14 = 465
+14 +14
x= 479
Answer:
x=479
Step-by-step explanation:
x-14=465 Move constant to the right-hand side and change its sign
x=465+14 add the numbers
x=479
HOPE THIS HELPS :)
A washer and a dryer cost 1021 combined. The washer costs 71 more than the dryer. What is the cost of the dryer?
Answer:
475
Step-by-step explanation:
1021-71
950/2
The number of customers rose from 118 on monday to 205 on tuesday. What is the percent increase to the nearest tenth of a percent
Answer:8
Step-by-step explanation:$4
what is m if 9/7m= 1/7
Answer: [tex]m=\frac{1}{9}[/tex]
Step-by-step explanation:
[tex]\frac{9}{7}m=\frac{1}{7}[/tex]
Multiply by the reciprocal to isolate m.
[tex](\frac{7}{9} )\frac{9}{7}m=\frac{1}{7}(\frac{7}{9} )[/tex]
[tex]m=\frac{1}{9}[/tex]
4 inches 6 inches and 9 inches
v= in3
Answer:
what are you asking the total or what
Plz help! Question is in the picture :)
Answer:
32.94%
Step-by-step explanation:
Hope this helps
Tia is going to create another sculpture that has the same dimensions, but it will not be hollow. She plans to use wood for the new sculpture. What dimensions of the triangular prism will Tia need to know in order to determine the amount of wood she will need for the sculpture? Explain.
Answer:
Answer is below.
Step-by-step explanation:
Tia has to know the dimensions needed to find the volume of the sculpture. She needs to know the area of the base as well as the height of the pyramid. The formula that she has to use is 1/3*B*h.
To determine the amount of wood she will need for the sculpture she should know the height of the triangular prism and the sides of the triangular base of the prism.
What is triangular prism?"It is a three dimensional geometric structure made up of two triangular bases and three rectangular sides."
What is the volume of the triangular prism?Volume = Area of the Base × Height of prism
For given example,
The amount of wood she need will be equal to the volume of the triangular prism.
Volume of the triangular prism = Area of the Base × Height of prism
The base of the triangular prism is a triangle.
To find the the area of the triangle, three sides of the triangle should be known or base and height of the triangle.
The height of the triangular prism is nothing but the length of the rectangular side of the triangular prism.
Therefore, to determine the amount of wood she will need for the sculpture she should know the height of the triangular prism and the sides of the triangular base.
Learn more about triangular prism here:
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In parallelogram WXYZ, what is CY?
Answer:
The correct answer is 11 ft.
Step-by-step explanation:
The diagonals of a parallelogram bisect each other. This means that the portion marked x+4 is the same length as the portion marked 2x-7; this gives us the equation x+4=2x-7.
Subtract x from each side:
x+4-x=2x-7-x
4=x-7.
Add 7 to both sides:
4+7=x-7+7
11=x
Answer:
11
Step-by-step explanation:
On edge
What is 2/3 ÷ 4/5 = ?
Answer:
5/6
Step-by-step explanation:
2/3 ÷ 4/5 = ⇒ changing division to multiplication by reciprocal of the second fraction2/3 × 5/4 = ⇒ simplify and multiply numerators and denominators5/6 ⇒ here is the answer