Answer:−3+3=−4
2+3−=15
4−3−=19
2 3
Step 1: Pair the equations to eliminate y because the y terms are already additive inverses
1
−3+3=−4
2+3−=15
2
2+3−=15
4−3−=19
2 3 4
3 =11
5
6 −2=34
Step 2: Write the two new equations
as a system
Step 3: Substitute the value for x and z
into one of the original equations
3 =11
3 5 +2=11
4
5−3+3 −2 =−4
15+2=11
5
6 −2=34
5−3−6=−4
−3−1=−4
9x
2=−4
=−2
= 45
x = 5
−3=−3
=1
The solution (5, 1, -2)
Step-by-step explanation:
An indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people below. One bucket dumps water every 18 minutes. The other bucket dumps water every 16 minutes. It is currently 2:45 P.M. And both buckets dumped water 15 minutes ago. Find the next two times that both buckets dump water at the same time.
Answer:
The next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.
Step-by-step explanation:
From the question, one bucket dumps water every 18 minutes, say bucket A;
and the other bucket dumps water every 16 minutes, say bucket B.
Also, It is currently 2:45 P.M. and both buckets dumped water 15 minutes ago,
that is, both buckets dumped water at 2:30 P.M.
For bucket A, the next times it will dump water will be:
2:48 P.M, 3:06 P.M, 3:24 P.M, 3:42 P.M, 4:00 P.M, 4:18 P.M, 4:36 P.M, 4:54 P.M, 5:12 P.M, 5:30 P.M, 5:48 P.M, 6:06 P.M, 6:24 P.M, 6:42 P.M, 7:00 P.M, 7:18 P.M, 7:36 P.M, 7:54 P.M, 8:12 P.M, 8:30 P.M etc.
For bucket B, the next times it will dump water will be:
2:46 P.M, 3:02 P.M, 3:18 P.M, 3:34 P.M, 3:50 P.M, 4:06 P.M, 4:22 P.M, 4:38 P.M, 4:54 P.M, 5:10 P.M, 5:26 P.M, 5:42 P.M, 5:58 P.M, 6:14 P.M, 6:30 P.M, 6:46 P.M, 7:02 P.M, 7:18 P.M, 7:34 P.M, 7:50 P.M etc.
From above, we observe that the next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.
Hence, the next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.
I can't figure this out, help-
-2(7-y)+4= -4
-14+2y =-4-4
-14 + 2y = -8
2y = -8+14
y = 6/2
y = 3
if 3 kg of beans cost $1.50, how much does 2 kg cost
Answer:
2/3 of the price
Step-by-step explanation:
On a set of parallel lines cut by a transversal m<2=(7x-5) and m<6=(x+25) which value of x could show that <2 and <6 are corresponding angles
Answer:
X = 5
Step-by-step explanation:
When the lines are parallel, the corresponding angles are equal in measure then:
m<2 = m<6
7x - 5 = x + 25
7x - x = 25 + 5
6x = 30
x = 5
Which value of x makes the equation ,3 plus 0.75 ( x minus 2) equals 0.5 ( x + 20 ), true
Someone help fast for the bois??
Answer:
34
Step-by-step explanation:
3+0.75(x-2)=0.5(x+20)
3+0.75 x-1.5=0.5 x+10
1.5+0.75x=0.5 x+10
0.75x+0.5x=10-1.5
0.25x= 8.5
0.25/25, 8.5/0.25
x=34
Write an expression for the phrase -4 times the quantity 4 plus w
Please help me I really need it Big points for help.
The three Miller boys were calculating the volume of their new fish tank to determine how many gallons of water the tank can hold. Each brother measured a different dimension of the tank. Their measurements were 1 yard in length, 1 foot in width, and 18 inches in height.
1. There are approximately 7.5 gallons per cubic foot. If you want to know how many gallons of water the tank can hold, what unit of measure would you use to calculate the volume of the fish tank? Explain why
2. Determine how many gallons of water the fish tank can hold. Carefully show your work and include units of measure.
1. Because you know the number of gallons per square foot. You would want to use cubic feet for the measurement of the tank.
2. Convert all dimensions to feet:
1 yard = 3 feet
18 inches = 1.5 feet.
Volume of tank = 3 x 1.5 x 1 = 4.5 cubic feet.
Multiply gallons per cubic foot by cubic feet of tank:
7.5 x 4.5 = 33.75 gallons.
The ratio of money in Terry's bank account to Faye's bank account was 3:7.
Terry then put £220 in his account and Faye withdrew £300 from her account.
They now had the same amount in their accounts.
How much did Terry initially have?
Answer:
£390
Step-by-step explanation:
The ratio of money in bank:
Terry : Faye
3 : 7
Terry put £220 in his account
Faye withdrew £300 from her account
Unknown:
Initial amount Terry had = ?
Solution:
Let the real amount terry has = 3x
Faye will have = 7x
Now;
3x + 220 = 7x -300
Solving this equation:
3x + 220 = 7x -300
3x - 7x = -300 - 220
-4x = - 520
4x = 520
x = 130
Originally, Terry has 3x = 3 x 130 = £390
Help!! I gave u brainliest!
Answer:
15. -140.008
16. [tex]j = \frac{17-15q}{4}[/tex]
17. [tex]q = \frac{17 - 4j}{15}[/tex]
Step-by-step explanation:
15. -2.3(8.6)²+ 3.5(8.6)= -140.008
16.
15q + 4j = 17
4j = 17 - 15q
[tex]j = \frac{17-15q}{4}[/tex]
17.
15q + 4j = 17
15q = 17 - 4j
[tex]q = \frac{17 - 4j}{15}[/tex]
HELP ME PLEASE HURRY
Answer:
x=-2
Step-by-step explanation:
A coordinate plane is shown. Triangle PQR has vertices P at negative 6 comma 6, Q at negative 6 comma 3, and R at negative 3 comma 3. Triangle P prime Q prime R prime has vertices at P prime negative 2 comma 2, Q prime at negative 2 comma 1, and R prime at negative 1 comma 1. What is the scale factor of dilation?
Answer:
The scale factor of dilation from ΔPQR to ΔP'Q'R' is 1/3
Step-by-step explanation:
The given information are;
The vertices of ΔPQR are;
P(-6, 6), Q(-6, 3), and R(-3, 3) and the coordinates of ΔP'Q'R' are P'(-2, 2), Q'(-2, 1), and R'(-1, 1)
Given that the length, l, of each side of the triangles is given by the formula for calculating length given the vertices we have;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
For side PQ, we have;
(x₁, y₁) = (-6, 6), (x₂, y₂) = (-6, 3)
Given that the points have equal y-values, the length is the difference of their x-values as follows;
[tex]l_{PQ}[/tex] = 6 - 3 = 3
Similarly, length QR is the difference in the y-values, since the x-values are equal. therefore, we have;
[tex]l_{QR}[/tex] = -3 - (-6) = 3
Length PR is given as follows;
(x₁, y₁) = (-6, 6), (x₂, y₂) = (-3, 3)
[tex]l_{PR} = \sqrt{\left (3-6 \right )^{2}+\left (-3-(-6) \right )^{2}} = \sqrt{18} = 3\cdot \sqrt{2}[/tex]
[tex]l_{PR}[/tex] = 3·√2
For P'Q', we have
P'(-2, 2), Q'(-2, 1)
[tex]l_{P'Q'}[/tex] = 2 - 1 = 1
[tex]l_{P'Q'}[/tex] = 1
For Q'R', we have
Q'(-2, 1), R'(-1, 1)
[tex]l_{Q'R'}[/tex] = -1 - (-2) = -1 + 2 = 1
[tex]l_{Q'R'}[/tex] = 1
For P'R', we have;
P'(-2, 2), R'(-1, 1)
[tex]l_{P'R'} = \sqrt{\left (1-2 \right )^{2}+\left (-1-(-2) \right )^{2}} = \sqrt{2} = \sqrt{2}[/tex]
[tex]l_{P'R'}[/tex] = √2
Therefore, given that we have
PQ/(P'Q') = PR/(P'R') = 3/1 = 3 and QR/(Q'R') = 3·√2/(√2) = 3
The scale factor of dilation from ΔPQR to ΔP'Q'R' = 1/3.
What value is missing from the table ?
Answer:
B
Step-by-step explanation:
what is the square root of 30.3 rounded to the nearest hundreth
what is 23^a + 23^b ?
Answer:
23^a + 23^b
Step-by-step explanation:
You can't simplify this further because they are different variables.
An open, rectangular box with length of 6 feet, width of 4 feet, and height of 2.5 feet is to be painted on all exterior sides, including the bottom, with a special waterproof coating. Each gallon of this special coating covers 12 square feet of surface area and costs $36.00. The box is then to be filled with water that weighs approximately 62 pounds per cubic foot.
Complete Question
An open rectangular box with length of 6 feet, width of 4 feet and height of 2.5 feet is to be painted on all exterior sides, including the bottom, with a special waterproof coating. Each gallon of this special coating covers 12 square feet of surface area and costs $36.00. The box is then to be filled with water that weighs approximately 62 pounds per cubic foot.
A. Find the cost of painting this open box.
B. Find the weight of the water in the filled box
Answer:
A
[tex]x = \$ 294[/tex]
B
[tex]z = 3720 \ pounds[/tex]
Step-by-step explanation:
From the question we are told that
The length is [tex]l = 6 \ ft[/tex]
The width is [tex]b = 4 \ ft[/tex]
The height is [tex]h = 2.5 \ ft[/tex]
Generally the total surface area of the open, rectangular box is mathematically represented as
[tex] T_ A = 2lb + 2lh + 2bh[/tex]
=> [tex] T_ A = 2(6 * 4) + 2(6 * 2.5) + 2(4 * 2.5)[/tex]
=> [tex] T_ A = 98 \ ft^2 [/tex]
From the question we are told that
$36.00 worth of paint covers [tex]12 ft^2[/tex]
So $x worth of paint covers [tex]98 \ ft^2[/tex]
=> [tex]x = \frac{98 * 36}{12}[/tex]
=> [tex]x = \$ 294[/tex]
Generally the volume of the open, rectangular box is mathematically represented as
[tex]V = l * b * h[/tex]
=> [tex]V = 6 * 4 * 2.5[/tex]
=> [tex]V = 60 \ ft^3 [/tex]
From the question we are told that
[tex]1 ft^3[/tex] weigh 62 pounds
[tex] 60 \ ft^3[/tex] weigh z pounds
=> [tex]z = \frac{60 * 62}{1}[/tex]
=> [tex]z = 3720 \ pounds[/tex]
15 = 9 -1/2x HELP!! PLZ
Answer:
x=-12
are you okay???
Put these numbers in order from least to greatest
4.9 4.5 314
1+1+1+1+1+1+2+2+2+3+4=4=====+2233=+
Answer:
78
Step-by-step explanation:
is 6 rational or irrational??
Answer:
✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧
Hello!
✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧
❖ The number 6 is an integer
~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :)
Step-by-step explanation:
Answer:
6 is rational.
Step-by-step explanation:
6 is rational because it is classified as a natural/counting number and a whole number.
What number is 32% of 79?
thanks so much
Answer:
25.28
Step-by-step explanation:
Answer:
25.28
Step-by-step explanation:
what are -2 times -7?
what is -2+-7?
One company buys a new bulldozer for $130800. The company depreciates the bulldozer linearly over its useful life of 20 years. It salvage value at the end of 20 years is $19800. Express the value of the Bulldozer, V, as a function of how many years old it is, t. Make sure to use function notation
Given :
One company buys a new bulldozer for $130800.
The company depreciates the bulldozer linearly over its useful life of 20 years. It salvage value at the end of 20 years is $19800.
To Find :
The value of the Bulldozer, V, as a function of how many years old it is, t.
Solution :
Let, the equation is :
V = mt + c .....1)
For, t = 0 years
V = m(0) +c = $130800.00
c = $130800.00
For, t = 20 years
V = 20m + c = $19800.00
Putting value of c in above equation, we get :
20m + $130800.00 = $19800.00
m = (19800.00-130800.00 )÷20
m = -5550
Putting value of m and c in equation 1, we get :
V = -5550t + 130800
Hence, this is the required solution.
A dairy produces 420,000 quarts of milk each day. There are 4 quarts in a gallon. How many gallons of milk are produced each day? A 105,000 gal B) 1,680,000 gal С 1,050,000 gal D 10,500 gal Question 10 2 Points
Answer:
150000
Step-by-step explanation:
i use cal
There are 32 marbles in a bag 14 were red, what is the ratio of blue to red?
Please help
Answer: 9:7
Subtract 32 by 14, because there are 14 red marbles.
32 - 14 = 18.
Now, get the numbers 14 and 18. Reduce them to the lowest.
18 ÷ 2 = 9
14 ÷ 2 = 7
Make 9 & 7 to a ration.
Ration- 9:7
================================================
Explanation
There are 32 marbles and 14 are red. If there are only two colors, then we have 32-14 = 18 blue marbles.
The ratio of blue to red is 18:14. We write the two values separated by a colon. The order matters (blue comes first, then red).
The last step is to reduce the ratio 18:14 to 9:7. Note how I divided both parts by the GCF 2.
12. The table shows the height in feet of a stack of medium sized moving boxes. What is the height of a stack of 14 boxes
height = 2.25 * box.
So, 14 boxes = 2.25 * 14 = 31.5.
A triangle has sides of length 30 98 and 103 is it a right angle
Answer:
No because by definition, theres is no exact 90 degree angle to form a Right angle triangle
Answer:
No this triangle is not a right angle because right angle have exactly 90° value, corresponding to quarter turn.
I think the answer is:
- 2(5x+3)/(x+1)(x-5)(x+3)
But another person said:
10x-6/(x+3)(x+1)(x-5)
Who is correct? *Btw for my answer the whole fraction is negative not just the top or bottom.*
The number 4 and the number 4/1 are
exactly the same. Explain why.
Step-by-step explanation:
Hey there!
It's obvious that 4 and 4/1 are exactly same.
Reason: something divided by 1 is always a a number same in a numerator.
Example;
1. 7/1 = 7
2. 5/1 = 5
Hope it helps..
HELP THIS IS DUE IN 7 MINUTES
Answer:
it takes 3 more minutes
Two sides of a triangle are equal in length and double the length of the shortest side. The perimeter of the triangle is 36 inches. Select the equation that most accurately depicts the word problem
A:x+2x^2=36
B:x+x+2x=36
C:2x+2x+2x=36
D:x+2x+2x=36
Answer:
Answer is below
Step-by-step explanation:
To solve this, you can set up an equation. Make the length of the shortest side x, so the 2 sides double the length will equal 2x. Since they all equal the perimeter of 36, do x + 2x + 2x =36. These values all represent the sides(2 longer, one short). Combine like terms to get 5x=36 then divide by 5 to find the value of x. x=7.2in meaning the shorter side is 7.2 inches while the longer sides are both 14.4 inches each since they are double in size.
Answer:
D:X+2X+2X=36
Step-by-step explanation:
X+X=EQUAL AND DOUBLE THE SHORTEST SIDE
2[X+X]+[X]=36