Answer: x = 0; y = 2; z = 5
Step-by-step explanation:
x+2y+z=9
x-y+3z=13
2z=10
==
Start with the last equation: 2z = 10, therefore z = 5 [easy]
Let's rewrite the second equation with 1) z=5, and 2) rearrange to find x:
x-y+3z = 13
x - y +3*5 = 13
x = y-2
Now use the values for x [(y-2)] and y [5] in the first equation:
X+2y+z=9
(y-2) +2y + 5 = 9
3y +3 = 9
3y = 6
y = 2
Now that we have y [2] and z [5], let's use the first equation to solve for x:
x+2y+z=9
x + 4 + 5 = 9
x + 9 = 9
x = 0
====
Try the three values (x=0, y=2, and z=5) in any of the formulas. The result should/will equal the number shown.
1. Qual é o número obtido ao se calcular
2021 201 + 21 – 1?
-
A) 2244
B) 1820
C) 1821
D)1840
E)1841
Answer:
2021
201
21
+ 1
= 2244
step by step explanation
Please help! You don’t have to explain how you got the answer! Tysm.
A copy machine makes 44 copies per minute. How long does it take to make 187 copies
What is the square root of 9000?
Three consecutive even integers have a sum of 36. Find the integers.
first integer=x
second integer=x+1
third integer= x+2 (x + 1 + 1)
x + (x + 1) + (x + 2) = 36
write each fraction in simplest form
1. 20 in/ 6 ft.
2. 15 min : 3 h
3. 2 kg to 500 g
Answer:
1. 10 in / 3 ft
2. 5 min / 1 h
3. 1 kg / 250 g
Step-by-step explanation:
In a geometric sequence each term is positive, the first term is 4 and the third term is 9.
What is the sum of the first four terms?
Answer:
4 _____ 9
the geometric sequence is the addition of 2.5 to every number until the specific amount you are to get
4+2.5=6.5 that is the second term
if I then add 2.5 to 6.5it will give me 9 which is the third term but we are asked to find the sum of the first 4terms so 9+2.5=11.5
if we are to add 4,6.5,9 and 11.5 it would give me =31 which is the final answer.
hope this helps.
A large pumpkin weighs 10.4 pounds. A smaller pumpkin weighs 3.6 pounds. How much less does the smaller pumpkin weigh?
Answer:
6.8 pounds less than the large pumpkin
Step-by-step explanation:
10.4 - 3.6 = 6.8
I hope this is helpful :)
Combine like terms to simplify the expression:
Answer:
[tex]\frac{5k -6}{10}[/tex]
Answer:
1/5k + 3/5
Step-by-step explanation:
2/5 * 2/2 = 4/10
4/10k + 1/10k = 5/10k = 1/2k
1/2k + 3/5
HELP PLSPPPPPPPPPPPPPPP
Answer:
The equation is following the mathematical rule of multiplying exponents.
Step-by-step explanation:
As an example to back up the answer, when you have half of a dollar, that is $0.50, if you took a half (1/2) of $0.50 that would be one fourth (1/4) of a dollar, but half of 50 cents ($0.50) A similar thing is happening with this problem. When you have two numbers (2 and 4) when you multiply them together, they equal to eight (8) for this problem, when you multiply two exponents together, you are raising the coefficient (a real number like 6) to the power of 2, and then taking that number and multiplying it by the power of 4. This is similar to the half of 50 cents, is equal to 1/4 of dollar ($0.25)
Hope this helps explain multiplying exponents together, and the mathematical rule behind it.
How do I solve these measurement problems?
Answer:
- Reagan needs to purchase 1346 centimeters. I think it solve like this (238+435)×2 =1346 cm.
- what length of fringe does Raegan need for the longer bedspread? The answer is :
1346 + 27×2 = 1400 cm.
What if there are mistakes, hope you sympathy and forgiveness !!!
Damon works 32 hours per week and earns $10.75 per hour.
a. Estimate his weekly earnings. Explain how you determined
your estimate.
b. Find the exact amount he earns per week.
c. Is your answer reasonable based on your estimate? Explain.
u will be awarded brainlest if u answer this correctly.
Please help me and tysm i’m advance!!
Answer:
[tex]r = \sqrt{\frac{3V}{'pi'h}}[/tex]
replace the 'pi' in that equation to the symbol pi, π
Step-by-step explanation:
Perimeter of Triangle Please. Thank you ASAP
Step-by-step explanation:
The perimeter of a parallelogram is twice the sum of the length of a longer and a shorter side.
The length can be evaluated by the distance formula between two points (x_1,y_1), (x_2, y_2)
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For the longer side,
[tex]d=\sqrt{(7-(-4))^2+(3-2)^2}=\sqrt{122}[/tex]
or the shorter side,
[tex]d=\sqrt{(7-6)^2+(3-(-2))^2}=\sqrt{26}[/tex]
Therefore, the perimeter is given by,
[tex]2(\sqrt{122}+\sqrt{26})\approx254.2[/tex]
15b.) If the paint costs $6,50 a gallon and each gallon
covers 128 ft of wall, how much will it cost to paint the
room?
helpppp 2x-1>5 and 3x-5<19
Answer:
3 < x < 8
Step-by-step explanation:
Solve each part separately
2x - 1 > 5 ( add 1 to both sides )
2x > 6 ( divide both sides by 2 )
x > 3 , that is
3 < x
and
3x - 5 < 19 ( add 5 to both sides )
3x < 24 ( divide both sides by 3 )
x < 8
Then putting the two together
3 < x < 8
Select the correct answer.
A vegetable farmer fills of a wooden crate with 1 of a pound of tomatoes. How many pounds of tomatoes can fit into one crate?
A. 2 pounds
B. of a pound
c 11 pounds
D. 14 of a pound
is -15 an integer and rational number?
Answer:
I guess it would help you
The triangles shown below must be congruent.
80°
10
800
510
510
O A. True
B. False
Answer:
True
Step-by-step explanation:
Answer:
A. True
because they are identical shapes
tom is 2 kg heavier than harry, who is 3 kg heavier than ben. when they add up all their weights, it comes to 65 kg. how many kg does harry weigh?
Answer:
Step-by-step explanation:
Let Harry = x
Tom = harry + 2
Tom = x + 2
Ben + 3 = harry
harry - 3 = ben
x - 3 = ben
Tom + harry + Ben = 65
x + 2 + x + x - 3 = 65
3x - 1 = 65 Add 1 to both sides
3x = 65 + 1
3x = 66 Divide by 3
x = 66/3
x = 22
So harry = 22 kg
3(4x+2)=20x-9x+2 what is the value of x?
Answer:
x = -4
Step-by-step explanation:
3(4x+2)=20x-9x+2
12x +6 = 11x +2
1x = -4
SOMEONE PLEASE ANSWER!!!!
Evaluate each expression for t = 0, x = 1.5, y = 6, and z = 23
1. y + 5 = ??
2. z - 2x = ??
3. 2z - 2y = ??
4. 2.6y - 2x =??
5. 4(y - x) = ??
6. 4(2 + z) + 5 = ??
Answer:
1. 11
2. 20
3. 34
4. 12.6
5. 18
6. 105
Step-by-step explanation:
We are told that ---> t = 0, x = 1.5, y = 6, and z = 23
1. y + 5
= 6 + 5
= 11
2. z - 2x
= 23 - 2(1.5)
= 23 - 3
= 20
3. 2z - 2y
= 2(23) - 2(6)
= 46 - 12
= 34
4. 2.6y - 2x
= 2.6(6) - 2(1.5)
= 15.6 - 3
= 12.6
5. 4(y - x)
= 4(6 - 1.5)
= 24 - 6
= 18
6. 4(2 + z) + 5
= 4(2 + 23) + 5
= 8 + 92 + 5
= 105
Which number sentence is not true?
O A) |–1>
OB) |-1=-1
O C) <1-11
D) ||<1-11
-8.2 +9.1
Yes I’m just making sure I got this question right but tell me what the answer is pls!
Answer:
0.9 is your answer.
Evaluate 5k + 1 when: *
4 points
101 15 43 36 37 16 - 19 99 120
k = 3
k = - 4
k = 20
k = 7
k = 3
k = - 4
k = 20
k = 7
1
k^2 = 4k
k = 0, k = 4
#2
k^2 - 5k = k + 7
k^2 - 6k = 7
k^2 - 6k + 9 = 16
k - 3 = 4 ⇒ k = 7
k - 3 = -4 ⇒ k = -1
#3
k^3 - 5k^2 + 3k = -k
k^3 - 5k^2 + 4k = 0
k(k^2 - 5k + 4) = 0
k = 0, k = 1, k = 4
#4
|k + 1| + 2 = 8
|k + 1| = 6
k = 5, k = -7
Natalie is baking a cake and cookies for her daughter's class party. She needs 1 2/3 cups of milk for the cake and 1/2 cup for the cookies. If she
has 3 cups of milk total, how much will she have left?
Answer:
answer- 0.833 cups
Step-by-step explanation:
Washington High School is building a new running track. The track is
constructed from a rectangle and two semicircles, as shown.
10244
500R
What is the best estimate of the total distance around the track?
A) 1320 feet
B) 1000 feet
C 1204 feet
D) 1560 feet
Helppppppop meeeeeee
Answer:
option b
is the answer
please check it
Calvin owns a toy store. He can spend at most $200 on restocking cars and dolls. A doll costs $6.50, and a car costs $8.00. Let x represent the number of cars, and let y represent the number of dolls. Identify an inequality for the number of toys he can buy. Then identify the number of dolls Calvin can buy if he buys 10 cars.
8x + 6.50y ≤ 200; no more than 19 dolls
8x + 6.50y ≤ 200; no more than 18 dolls
6.50x + 8y ≤ 200; no more than 19 dolls
6.50x + 8y ≤ 200; no more than 18 dolls
The required inequality expression is 8x + 6.50y ≤ 200
Maximum amount he can spend = $200
Cost of doll, = $6.50
Cost of car = $ 8.00
Mathematically, the maximum amount he can spend on restocking is cars and doll is :
(Cost of cars × number of cars) + (cost of doll × number of dolls) ≤ maximum amount
8x + 6.50y ≤ 200
Hence, the required inequality expression is : 8x + 6.50y ≤ 200
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Is 2.200929 rational