Answer: 20m³
Step-by-step explanation:
From the statement
V <> 1/p --------------------- 1
V = k/p --------------------- 2
K. = VP ---------------------- 3
V = 60 , p = 1
To find k which is a constant, we put those values in equation 3
K = 60 x 1
= 60.
Now from the second statement
V = k/p where p is 3
Therefore,
V = 60/3
= 20m³
State the first step in solving the equation. - 1/5y + 2 = -3
a. subtract two from both sides
b. multiply both sides by -1/5
c. divide both sides by -1/5
d. add two to each side
Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.
Answer:
c ≥ 56 is the REQUIRED INEQUALITY.
Step-by-step explanation:
Here, the given question is INCOMPLETE.
Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items. Choose the inequality and solution to represent the number of cans, c, that Xander must still collect.
Now, here:
The number of cans Xander needed to collect = At least 120
The number of items already collected = 64
c: the number of cans, c, that Xander must still collect.
Now, the number of cans to be collected - Cans already collected
= 120 - 64 = 56
So, the number of can he must collect to make a TOTAL OF AT LEAST 120 cans = 56 cans
⇒ The number of cans to be collected ≥ 56 cans
⇒c ≥ 56 cans
or, c ≥ 56 is the REQUIRED INEQUALITY.
Answer:
c ≥ 56 is the REQUIRED INEQUALITY.
Step-by-step explanation:
solve each equation
-5(x-3=14
Answer:
x = 1/5
Step-by-step explanation:
To solve, simplify the equation, then isolate "x". Start with the distributive property, where you multiply the number outside the brackets with each number inside the bracket. Isolate "x" by bringing all the other numbers to the right side on the equal sign. When moving a number, do its reverse operation to the whole equation.
-5(x-3) = 14 Distribute. Multiply -5 by "x", subtract -5 times 3.
(-5)x - (-5)3 = 14 Multiply -5 and 3
(-5)x - (-15) = 14 Two negatives make a positive
(-5)x + 15 = 14 Remove brackets around -5
-5x + 15 = 14 Start isolating
-5x + 15 - 15 = 14 - 15 Subtract 15 from both sides
-5x = -1 Left side: 15 cancelled out. Right side: 14-15 = -1
-5x/-5 = -1/-5 Divide both sides by -5.
x = 1/5 Solved for "x"
Check your answer by substituting "x" with the answer you found:
-5(x - 3) = 14
-5(([tex]\frac{1}{5}[/tex]) - 3) = 14 Change "x" to 1/5.
-5(([tex]\frac{1}{5}[/tex]) - [tex](\frac{5}{5})(\frac{3}{1})[/tex]) = 14 Make 5 the common denominator
-5([tex]\frac{1}{5}[/tex] - [tex]\frac{15}{5}[/tex]) = 14 Multiply the fractions across
-5([tex]\frac{1-15}{5}[/tex]) = 14 Combined the fractions on top of the same denominator
-5([tex]-\frac{14}{5}[/tex]) = 14 Simplify numerator
[tex]\frac{-5*-14}{5}[/tex] = 14 Multiply by combining into the numerator
[tex]\frac{70}{5}[/tex] = 14 Divide the top by the bottom of the fraction
14 = 14 Same answer on both sides
LS = RS Left side equals right side
Therefore the answer is correct.
hannah says that 1/8 is not on the number line and cannot be plotted. write a note to hannah about her misunderstanding
Answer and explanation :
Hannah said that [tex]\frac{1}{8}[/tex] is not on the number line but she is wrong because [tex]\frac{1}{8}[/tex] can be represented on the number line
When we convert the fraction [tex]\frac{1}{8}[/tex] into decimal then it is equal to 0.125
And 0.125 lies between 0 and 1
If we divide one unit on number line into 10 parts then 0.125 lie between 0.1 and 0.2
And we know that any real number can be represented on number line as 0.125 is a real number so it can be represented on the number line
Answer:
This number line represents all number. Although 1
8
is not labeled, it still exists on the number line and can be plotted. 1
8
is located halfway between 0 and 1
4
Step-by-step explanation:
Write the equations described below.
a. an addition equation with one variable that has a
solution of 3 = ______
b. a subtraction equation with one variable that has a
solution of = ______ ||Please help!! ;v;”
Answer:
I know only number a
Step-by-step explanation:
For number a
x+2=3
A student is saving money to buy a video game. The student currently has $20 and plans to save $10 every month. Write a function that represents the amount y
(in dollars) of money that the student saves after x
months.
Find the value of 21 + 4(32 - 5).
a. 37
b. 25
c. 100
Answer:
The right answer is A. 37
Step-by-step explanation:
Let's find the value of:
21 + 4(3² - 5)
21 + 4 * (9 - 5)
21 + 4 * (4)
21 + 16 = 37
The right answer is A. 37
Find decimal notation 1.29%
1.29 % is converted to decimal as 0.0129
Solution:
"Percent" means "per 100" or "over 100"
To convert 1.29% to a decimal rewrite 1.29 percent in terms of per 100 or over 100
Given percentage is 1.29 %
1.29 % = 1.29 over 100
[tex]1.29 \% = \frac{1.29}{100}[/tex]
1.29 over 100 is the same as 1.29 divided by 100
Completing the division we get:
[tex]1.29 \% = \frac{1.29}{100} = 0.0129[/tex]
Thus the given 1.29 % is converted to decimal as 0.0129
GIVING BRAINLIEST pls explain, Consider these proportions: 1:3 1.5:4.5 2:6 2.5:7.5 Which of the following proportions belongs to the above set? A 5:15 B 6:21 C 7:21 D 8:34 a. A and B c. B and D b. A and C d. C and D
Answer:
B. A and C
Step-by-step explanation:
1:3, 1.5:4.5, 2:6, 2.5:7.5, 3:9, 3.5:10.5, 4:12, 4.5:13.5, 5:15, 5.5:16.5, 6:18, 6.5:19.5, 7:21
+.5:+1.5
Britany is reading a book. She is able to read about 2 chapters each day. Assuming that, on average, each chapter contains 9.65 pages, which is a good estimate of the number of pages Britany can read in 2 days?
Answer:
38 to 40.
Step-by-step explanation:
If you round 9.65 to 10, and do the math it would be:
2 x 10 = 20
20 x 2 = 40
Classify the following triangle as acute, obtuse, or right
A. Acute
B Right
C Obtuse
D None of these
The correct answer is option C as the shown triangle is obtuse.
Based on the image, the triangle has the following angles:
132°36°12°Step 1: Sum of angles in a triangle
The sum of the angles in any triangle is always 180 degrees.
Therefore:
[tex]132^0 + 36^0 + 12^0 = 180^0[/tex]
Step 2: Analyze angle measures
Looking at the triangle, the following are the angle measures:
One angle [tex](132^0)[/tex] is greater than [tex]90^0[/tex].
There are no angles exactly equal to [tex]90^0[/tex].
All other angles [tex](36^0,12^0)[/tex] are less than [tex]90^0[/tex].
Step 3: Triangle classification
Based on the angle measures, the following is evident.
The triangle has one angle greater than [tex]90^0[/tex], so it cannot be acute (where all angles should be less than [tex]90^0[/tex]).
The triangle does not have any angles equal to [tex]90^0[/tex], so it is not right.
Since it has one angle greater than [tex]90^0[/tex], the triangle is classified as obtuse.
Thus the triangle is obtuse and it corresponds to option C.
Krystal says that you need to add to solve
the subtraction equation y - 11 - 52. Is
Krystal correct? Explain.
HELP! ASAP
Krystal is correct
Explanation:
We have the following equation:
[tex]y-11=52[/tex]
In order to solve this, we need to follow this step:
Step 1. Add 11 to both sides:
[tex]y-11=52 \\ \\ y-11+11=52+11 \\ \\ y=63[/tex]
So, Krystal is correct
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Please answer this.
Answer:
h = 2A/b
l = (P/2) - w
Step-by-step explanation:
for equation A
Multiply both sides with 2
Then divide both sides with b which leaves h on one side
for equation P
Divide by 2 on both sides
Then subtract w from both sides which leaves l on one side
A cube has a volume of 1000 cubic feet. What is the length of an edge of the cube?
Answer:
10 feet
Step-by-step explanation:
Given:
Volume of cube = 1000 cubic feet.
Question asked:
Length of an edge of the cube = ?
Solution:
Volume of cube = [tex]side^{3}[/tex]
[tex]1000=side^{3}[/tex]
By taking cube root both side
[tex]\sqrt[3]{1000} = side\\\sqrt[3]{10\times10\times10} = side[/tex]
[tex]10 = side[/tex] (took common)
Therefore, length of an edge of the cube is 10 feet.
x + 3y = 5
-x + 6y = 4
Solve the system of equations.
A) x = 1, y = 2
B) x = 2, y = 1
Eliminate
C) x = 1, y = 1
D) x = 0, y = 2
Answer:
B) x =2 y = 1
Step-by-step explanation:
Misha and Nora want to buy season passes for a ski lift but neither of them has the $225
needed to purchase a pass. Nora decides to get a job that pays $6.25 per hour. She has
nothing saved right now but she can work four hours each week. Misha already has $80 and
plans to save $15 of her weekly allowance. Who will be able to purchase a pass first?
Kittens weigh about 100 grams when born and gain 7 to 15 grams per day. If a kitten weighed 100 grams at birth and gained 8 grams per day, in how many days will the kitten triple its weight?
It would take the kitten 25 days after its birth to triple its weight.
Solution:
kitten weighed 100 grams at birth
And gained 8 grams per day
kitten needed to triple its weigh
Which means, they have to become 3 x 100 = 300 grams
Let "x" be the number of days needed to be 300 grams
Then we can say,
300 grams = 100 grams at birth + 8 grams( number of days)
[tex]300 = 100 + 8x\\\\8x = 300-100\\\\8x = 200\\\\Divide\ both\ sides\ by\ 8\\\\x = 25[/tex]
Thus it would take the kitten 25 days after its birth to triple its weight.
The ratio of legs to dogs in the dog shelter was 4to 1. If there were 40 legs then how many dogs were there
Answer:
Step-by-step explanation:
40:20
It’s simple division
Hope I helped
Reflect order pair (-2, 5) over y=-x
When reflecting over y = -x
The x and y values change places and the signs change.
(-2,5) becomes (-5,2)
Answer:
(-5,2)
Step-by-step explanation:
hope this helps
what is the value of y
Answer:
65°
Step-by-step explanation:
recall that for a triangle, the exterior angle (130 deg in this case) is equal to the sum of its remote interior angles (also see attached)
this means that
130° = y° + y°
or
2y° = 130°
y = 130/2 = 65°
help I need the answer phone plz
Answer:
t>-4
I’m not sure if this is right
Which of these expressions is equivalent to log (9.4)?
O A. log (9) + log (4)
O B. log (9) - log (4)
O c. 9. log (4)
O D. log (9) • log (4)
The solution to the given expression is log (9) + log (4).
What is Logarithm?The logarithm function is defined as the inverse of exponential function. If b = e^(a) then a is defined as a = log(b).
The logarithm of the product of two numbers is equal to the sum of their individual logarithms. The logarithmic properties can be written as log(ab) = log(a) + log(b), log(a/b) = log(a) - log(b) and log(aⁿ) = nlog(a).
The given expression is log(9 × 4).
It can be rewritten as,
log(9 × 4)
Use the property of the logarithm log(ab) = log(a) + log(b) to obtain,
log(9 × 4) = log(9) + log(4)
Hence, the given logarithmic expression can be solved as log (9) + log (4).
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Which algebraic expression represents the phrase "two times the quantity of a number minus 12"?
2y - 12
2(y -12)
2ly +12)
2y + 12
Answer:
the correct answer is B
Please help! AREA OF COMPOSITE FIGURES, what is the area of this figure in photo!???
A.) 49.5in²
B.) 66.5in²
C.) 84 in²
D.) 91 in²
Answer:
D. 91 in.^2
Step-by-step explanation:
We have two shapes, a square and a triangle.
Area of a square = lw
Area of a triangle = (lw)1/2
Starting off with the square...
A = lw
A = 7 x 7
A = 49
Next with the triangle...
A = (lw)1/2
A = (12 x 7)1/2
A = (84)1/2
A = 42
Add together the areas...
42 + 49
91 in^2
Marcus ran to the park and then walked to the store. He
ran 3 times as long as he walked. The total time spent
walking and running was 24 minutes. What equation is
used to solve for how long it took Marcus to walk from the
park to the store?
Answer:
Step-by-step explanation:
The answer is 24 x 3 or 3 x 24. It says that he ran 3 times and it took 24 minutes. 3 x 24 is 72
Answer:
Step-by-step explanation:
The answer is 24 x 3 or 3 x 24. It says that he ran 3 times and it took 24 minutes. 3 x 24 is 72
hope this helps
A flower shop sells tulips and roses. The price of each tulip is the same, and the price of each rose is the same. One customer bought 7 tulips and 9 roses for $25.90. Another customer bought 4 tulips and 8 roses for $19.80. How much will it cost a customer to buy 5 tulips and 6 roses?
It will cost a customer $17.75 to buy 5 tulips and 6 roses.
Step-by-step explanation:
Let,
Cost of one tulip = x
Cost of one rose = y
According to given statement;
7x+9y=25.90 Eqn 1
4x+8y=19.80 Eqn 2
Multiplying Eqn 1 by 4
[tex]4(7x+9y=25.90)\\28x+36y=103.60\ \ \ Eqn\ 3[/tex]
Multiplying Eqn 2 by 7
[tex]7(4x+8y=19.80)\\28x+56y=138.60\ \ \ Eqn\ 4\\[/tex]
Subtracting Eqn 3 from Eqn 4
[tex](28x+56y)-(28x+36y)=138.60-103.60\\28x+56y-28x-36y=35\\20y=35[/tex]
Dividing both sides by 20
[tex]\frac{20y}{20}=\frac{35}{20}\\y=1.75[/tex]
Putting y=1.75 in Eqn 1
[tex]7x+9(1.75)=25.90\\7x+15.75=25.90\\7x=25.90-15.75\\7x=10.15[/tex]
Dividing both sides by 7
[tex]\frac{7x}{7}=\frac{10.15}{7}\\x=1.45[/tex]
Cost of 5 tulips and 6 roses = 5x+6y = 5(1.45)+6(1.75) = 7.25+10.50 = $17.75
It will cost a customer $17.75 to buy 5 tulips and 6 roses.
Keywords: linear equation, elimination method
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You can use system of linear equations to find the solution.
The cost to customer to buy 5 tulips and 6 roses will be $17.75
Given that:The price of all tulips are same.The price of all roses are same.Price of 7 tulips and 9 roses is $25.90 Price of 4 tulips and 8 roses is $19.80To find:Cost of buying 5 tulips and 6 roses.
Naming the prices:Let price of one tulip be $xLet price of one rose be $yForming system of equations:By given data, we have:
7 tulip + 9 roses costs $25.90
or
[tex]7x + 9y = 25.9[/tex]
And
4 tulips + 8 roses costs $19.8
or
[tex]4x + 8y = 19.8[/tex]
Thus, we have two equations.
Using method of substitution:From equation first, we have:
[tex]7x + 9y = 25.9\\\\ x = \dfrac{25.9-9y}{7} [/tex]
Substituting this value in second equation, we get:
[tex]4(\dfrac{25.9 - 9y}{7}) + 8y = 19.8\\\\ 103.6 - 36y + 56y = 138.6\\ 20y = 138.6 - 103.6\\\\ y = \dfrac{35}{20} = 1.75\\ [/tex]
Thus, we have:
[tex]x = \dfrac{25.9-9y}{7} \\ \\ x = \dfrac{25.9 - 15.75}{7} = 1.45[/tex]
Thus, the price of a tulip = x = $1.45
and the price of a rose = y = $1.75
Now, calculating price of 5 tulips and 6 roses:
[tex]\: \rm Total \: Cost = 5x + 6y = 5 \times 1.45 + 6 \times 1.75 = \$17.75[/tex]
Thus, the cost to a customer who buys 5 tulips and 6 roses would be $17.75
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The carnival fundraiser at Central High School raised $400 on Thursday. On Friday, 280% of that amount was raised. How much money did the carnival raise on Friday? Which statements are correct? Check all that apply. The answer will be less than $400 because 100 is less than 280. The answer will be greater than $400 because 280 is greater than 100. (100)(4) = 400, so (280)(4) = the amount of money the carnival raised on Friday. 400 + 280 = the amount of money the carnival raised on Friday. The carnival raised $680 on Friday. The carnival raised $1,120 on Friday.
Multiply the amount raised by 280%
Rewrite 280% as a decimal by moving the decimal point 2 places to the left
280%. = 2.80
400 x 2.80 = $1120.00
Answers are:
The answer will be greater than $400 because 280 is greater than 100.
(100)(4) = 400, so (280)(4) = the amount of money the carnival raised on Friday.
The carnival raised $1,120 on Friday.
Answer:
B,C,F
Step-by-step explanation:
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Which expression is equivalent to 7 − x?
Answer:
Step-by-step explanation:
I need pic
The equivalent expression is y = [tex]e^{x log 7}[/tex].
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
[tex]7^x[/tex]
Let y = [tex]7^x[/tex]
Now,
Taking logs on both sides.
log y = log [tex]7^x[/tex]
log y = x log 7
Taking exponent on both sides.
[tex]e^{logy}[/tex] = [tex]e^{x log 7}[/tex]
y = [tex]e^{x log 7}[/tex]
Thus,
The equivalent expression is y = [tex]e^{x log 7}[/tex].
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The complete question is given below:
Which numbers are rational? Select all that apply
A. 3.14
B. Square root of 50
C. 2.33333
D. Square root of 144
Answer:
A. 3.14
C. 2.33333
D. Square root of 144
Step-by-step explanation:
A. 3.14 true
B. Square root of 50 false because 50 is not a perfect square
C. 2.33333 true
D. Square root of 144 true because √144 = 12
a cell phone plan charges $39.90 a month, plus $0.05 per text message Which expression can be solved to find how many text messages ,x, can be sent while still keeping the monthly bill under $50
X=20
Step-by-step explanation:
39.90-50= 10.1
10.1÷0.05=202
X=202 texts
Check work 0.05×202=10.1 + 39.90=50