An identical equation is a literal equation that is true for every value of the variable, e.g., the equation (x+1)2=x2+2x+1. A conditional equation (usually referred to simply as an equation) is a literal equation that is not true for all values of the variable, e.g., only the value 2 for x makes true the equation x+3=5.
Hey coffee merchant want to make 6 pounds of a blend of coffee costing five dollars per pound. The blender is made it and using a six dollar per pound grade at coffee and a three dollar per pound grade of coffee. how many pounds of each of these grades should be used?
uhhhhh, your question seems a bit unclear. could you make it a bit more readable?
During a heavy rainstorm, a city in Florida received
12 1/4 inches of rain in 25 1/2 hours. What is the approximate
rainfall rate in inches per hour?
A about 2 inches per hour
B about 1/4 inch per hour
C about 1 inch per hour
D about 1/2 inch per hour
Answer: D. About [tex]\frac{1}{2}[/tex] inches per hour.
Step-by-step explanation:
1. The city received [tex]12^{\frac{1}{4}}[/tex] inches of rain in [tex]25^{\frac{1}{2}}[/tex] hours.
2. Let's write the mixed number as decimal numbers:
[tex]12^{\frac{1}{4}}in=12.25in[/tex]
[tex]25^{\frac{1}{2}}h=25.5h[/tex]
3. To find the approximate rainfall rate in inches per hour, you must divide 12.25 inches by 25.5 hours, as following:
[tex]\frac{12.25in}{25.5h}=0.48\frac{in}{h}[/tex]
4. If you round the result to the nearest tenth, you obtain:
[tex]0.5\frac{in}{h}=\frac{1}{2}\frac{in}{h}[/tex]
5. Therefore, the answer is the option D.
The approximate rainfall rate is closest to 0.5 inches per hour therefore the correct answer is Option D.
To determine the approximate rainfall rate in inches per hour, we need to divide the total amount of rainfall by the duration over which it fell.
Total rainfall: [tex]12 \frac{1}{4}[/tex] inches (which is equal to 12.25 inches)Duration: 25 [tex]\frac{1}{2}[/tex] hours (which is equal to 25.5 hours)Using the formula for intensity:
Intensity (inches per hour) = Depth (inches) / Duration (hours)Intensity = 12.25 inches / 25.5 hours ≈ 0.48 inches per hourThe approximate rainfall rate is closest to 0.5 inches per hour, so the correct answer is Option D: about 1/2 inch per hour.
The inequality x _> -5
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The elevation of the basement floor in a building is -14 ft. The elevation of the roof is 36 feet. What is the distance from the basement floor to the roof? A) -50 ft Eliminate B) -24 ft C) 24 ft D) 50 ft
The answer would be D) 50, because you would have to add 14+36 which equals 50
Pls help, pls just only tell me how to solve
To find f(2), look and see where the line crosses the Y axis, when The line is on X 2.
The line is on Y = -2, so the answer would be -2.
Simplify the expression
[tex]3x\sqrt[3]{648x^4y^8}\\\\=3x\sqrt[3]{216\cdot3x^{3+1}y^{3+3+2}\\\\=3x\sqrt[3]{216}\cdot3x^3x^2y^3y^2y^2}\qquad|\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\3x\sqrt[3]{216}\cdot\sqrt[3]{x^3}\cdot\sqrt[3]{y^3}\cdot\sqrt[3]{y^3}\cdot\sqrt[3]3xy^2}\quuad|\text{use}\ \sqrt[3]{a^3}=a\\\\=3x(6)(x)(y)(y)\sqrt[3]{3xy^2}\\\\=18x^2y^2\sqrt[3]{3xy^2}\to\boxed{B.}[/tex]
on Saturday nikki and tyler walked to the local farmers market nikki bout 8 apples for $6 dollars and tyler brought 3 fewer apples than nikki how much did tyler spend on apples
On Saturday Nikki and Tyler walked to the local farmers market Nikki bought 8 apples for $6 dollars and Tyler brought 3 fewer apples than Nikki. How much did Tyler spend on apples?
Tyler brought 8 apples - 3 apples = 5 apples.
To calculate the price of 5 apples we have to establish a proportion :
If 8 apples cost $6
Then 5 apples will cost $X
X = 5apples * $6/8apples = $3.75
Answer : Tyler spent on apples $3.75
Hope this helps!
[tex]\textit{\textbf{Spymore}}[/tex]
Thirty is five minus the product of five and a number.find the number
5x-5=30
Add 5 to both of the sides
5x=35
Divide 5 to both of the sides
X=7
Longfield is at an elevation of -144 1/2 feet. Smallville is 4 times farther below sea level than Longfield.
What is the Smallville’s elevation, in feet? The elevation of Smallville is _____feet.
Show me the work please.
The elevation of Smallville is calculated by multiplying the elevation of Longfield by 4. Longfield's elevation is -144 1/2 feet, which is equivalent to -289/2 as an improper fraction. Multiplying this by 4 gives the elevation of Smallville as -578 feet.
Explanation:To find Smallville's elevation, we first take the elevation of Longfield, which is -144 1/2 feet below sea level. Since Smallville is 4 times farther below sea level than Longfield, we have to multiply the elevation of Longfield by 4.
First, convert -144 1/2 to an improper fraction: -144 1/2 = -289/2.
Now, multiply by 4:
(-289/2) × 4 = -289 × 2 = -578 feet
So the elevation of Smallville is -578 feet below sea level.
select whether the equation has a solution or not, square root x-2- square root 2x= square root x+2 (a. roots b. no roots)
The equation is [tex]\sqrt{x-2 \\ \\[/tex] -[tex]\sqrt{2x}[/tex] = [tex]\sqrt{x +2}[/tex]
Solution
Step 1:
Take square on both sides, we get
3x - 2[tex]\sqrt{x-2}[/tex][tex]\sqrt2{x}[/tex] -2 = x +2
Step 2:
Subtract 3x - 2 from both sides, we get
-2[tex]\sqrt{x-2} \sqrt{2x} = -2x + 4[/tex]
Step 3:
Again, square on both sides in order to get rid of the square root from the above equation, we get
[tex]8x^{2}-16x = 4x^{2} -16x +16[/tex]
Now we have to simplify it,
[tex]4x^{2} -16 = 0[/tex]
Step 4:
Now we have to solve this quadratic equation, in order to get the solution.
We get x = 2 and x = -2, When we verifying solution in the original given equation, the solution does not satisfy the equation.
Reason: We get negative number in the square root.
Therefore, it has no Roots.
Answer: b) No roots
Sam thinks of a number n. He multiplies his number by 7 and then he adds 3 to the result. His final answer is 45. Write down an equation for this information
Solve the equation and find the number n.
N x 7 +3 = 45
N = 6 Hope this helps.
Hi GueenSilia,
Answer: (n x 7) + 3
45 - 3 = 42
42 / 7 = n
n x 7 + 3 = 45
----------------------------
42 / 7 = 6
6 x 7 = 42
42 + 3 = 45
n = 6
Jasmine went to the store and bought a pair of shoes for $44 and seven pairs of pants. He spent $96 in total. How much did each t shirt cost? I will give you 100 points
First, subtract 44 from the 96. You get 52. Then, divide 52 by 7 to figure out what each shirt costs. The answer is 52/7, or $7.43. She spent 7 dollars and 43 cents on each shirt.
Find the area of the large rectangle by finding the area of the two small rectangles and adding them.
The total area is 21 (15+6=21)
Answer:
Area of the given figure is 21 square units
Step-by-step explanation:
Area of the rectangle formula is length times width
Area of the top rectangle
Length = 5 and width = 3
So area of top rectangle =5 times 3 is 15 square units
Area of bottom rectangle
length =2 and width =3
So area of bottom rectangle is 2 times 3 is 6 square units
Total area =[tex]15+6= 21[/tex] square units
Functions can be defined using graphs, tables, and ordered pairs. Define the domain and range of a function.
The domain is the output and the range is the input.
The domain is any x-value used and the range is all numbers.
The domain is all numbers and the range is any x-value used.
The domain is the input and the range is the output.
Bobby is earning money for a new radio. He is paid $4.00 for each car he washes and $1.00 for each bag of leaves he rakes. If he washes 7 cars and fills 10 bags of leaves, how much money will he earn?
He washes 7 cars and gets $4.00 for each one :
So it's the number of cars times the money he gets for each one - 7 times 4 = 28
He fills 10 bags of leaves and gets $1.00 for each bag:
So it's the number of bags times the money he gets for each one - 10 times 1 = 10
Than you add the money from the cars to the money of bags : $10 + $28 =
$38 total
Answer: $38.00
why; live
What is the equation of the verticl line through (5,2)?
Final answer:
The equation of a vertical line passing through the point (5,2) is x = 5. This type of line has an undefined slope and is defined by its x-coordinate, not dependent on the y-coordinate.
Explanation:
The equation of a vertical line that passes through the point (5,2) can be determined by understanding that a vertical line has an undefined slope and does not depend on the y-coordinate for its location on a coordinate plane. Instead, a vertical line's location is solely determined by its x-coordinate. Therefore, the equation of a vertical line that passes through (5,2) will have the same x-coordinate for all its points. This means that the equation for the vertical line through (5,2) is simply x = 5.
This equation is different from the conventional y = mx + b, which defines a straight line with a slope m and y-intercept b. In the case of a vertical line, the slope is undefined, and therefore, the standard linear equation cannot be applied. Instead, the equation is independent of y and is expressed only in terms of the constant x-value of the vertical line.
It takes 19 minutes to get from Yermin’s house to the beach. If she has traveled for 5 minutes already, how many more minutes will it be until she reaches the beach?
it will be 14 more minuted because she has completed 5/19 minutes it takes to reach the beach.. we can get this answer by taking the total number of minuted to get to the beach (19) and subtract the number of minutes she has already walked (5)..... our answer is that she has 14 minutes left till she reaches the beach.
Answer
It is Going To Take 14 Minutes
A medium can of tomato juice costs $0.92 and contains 46 ounces of tomato juice. A large can of tomato juice costs $3.60 and contains 144 ounces of tomato juice. Which can of tomato juice the lower unit price? How much lower?
Answer:
The medium-sized can is the cheaper by the oz, and is $0.005 per oz. cheaper.
Step-by-step explanation:
Medium can: $0.92/(46 oz) = $0.020/oz
Large can: $3.60 / (144 oz) = $0.025/oz
Surprisingly, the medium can price per oz. is lower than that of the large can. The difference is $0.005 per oz.
The medium can of tomato juice has the lower unit price at $0.02 per ounce, which is $0.005 lower per ounce than the large can's unit price of $0.025 per ounce.
To determine which can of tomato juice has the lower unit price, we need to calculate the cost per ounce for each can. For the medium can, we divide the cost by the number of ounces:
Medium can unit price = $0.92 / 46 ounces = $0.02 per ounce
For the large can, we perform a similar calculation:
Large can unit price = $3.60 / 144 ounces = $0.025 per ounce
The medium can has a lower unit price of $0.02 per ounce compared to the large can's unit price of $0.025 per ounce. The difference in unit price is $0.025 - $0.02 = $0.005, or half a cent per ounce.
Analyze the following pattern: 1, 2, 5, 10, 17, what is the 8th term of the pattern
To find the 8th term of the pattern 1, 2, 5, 10, 17, analyze the differences between consecutive terms and find the common difference. Add that common difference to the 7th term to find the 8th term.
Explanation:To analyze the pattern, we can observe that the difference between consecutive terms is increasing by 1 each time. Let's find the common difference:
2 - 1 = 15 - 2 = 310 - 5 = 517 - 10 = 7From these differences, we can see that the common difference is increasing by 2 each time. So the difference between the 7th term and the 6th term would be 7 + 2 = 9. Using this pattern, we can find the 8th term:
17 + 9 = 26If 5/6 gallon of paint covers 1/4 of the house, then how much paint is needed for the entire house?
25/6 hope this helps
What interest rate per annum is a fund paying its clients if the third to the last payment of a depositor became Php 1,040.40 from an initial savings payment of Php 1,000.00?
Answer: The rate of interest per annum is 1.3%.
Step-by-step explanation:
Given Principal P= $1000
time period n=3
Amount A=$1040,40
To find rate of interest per annum r
We know that
[tex]A=P(1+\frac{r}{100} )^3\\\Rightarrow\ 1040=1000(1+\frac{r}{100})^3\\\Rightarrow\ 1.040=(1+\frac{r}{100})^3\\\text{taking log on both sides}\\log(1.040)=3log(1+\frac{r}{100})\\\Rightarrow0.039=3log(1+\frac{r}{100})\\\Rightarrow0.013=log(1+\frac{r}{100})\\\\\Rightarrow\ e^{0.013}=(1+\frac{r}{100})\\\Rightarrow\ 1.013=(1+\frac{r}{100})\\\Rightarrow\ \frac{r}{100}=1.013-1=0.013\\[/tex]
⇒ r = 1.3%.
Solve the equation for y
[tex] \frac{2}{5}x + y = 3[/tex]
multiply both sides of the equation by 3.
2x+3y=9
move variable to the right side and change its sign
2x=9-3y
divide both sides of the equation by 2
x=9/2-3/2y
What is 64 ounces in 8 cups as a unit rate
you have to divide 64 and 8
then you get the answer: 8 ounces per cup
Write 337,060 in expanded form using exponents
1. expand using place value.
337,060 = 300,000 + 30,000 + 7,000 + 000 + 60 + 0
Next, we will use exponents:
300,000 = 3 * 10^5
30,000 = 3 * 10^4
7,000 = 7 * 10^3
000 = 0 * 10^2
60 = 6 * 10
0 = 0 * 10^0
then after combing these exponents, we can write the number as:
337,060 = 3 * 10^5 + 3 * 10^4 + 7 * 10^3 + 0 * 10^2 + 6 * 10 + 0 * 10^0
Finally, removing the meaningless zeroes, we would end up with:
337,060 = 3 * 10^5 + 3 * 10^4 + 7 * 10^3 + 6 * 10
What is equation of the following line ?
Answer:
B is your best Bet
Step-by-step explanation:
for this problem, you would have to do B because thats the best bet compared to the other answers
Which logarithm equation is equivalent to the exponential equation below?
3^c=27
Answer:
log(bsae(3))27=c
Step-by-step explanation:
a p e x
The logarithm equation is equivalent to the exponential equation is c = log₃27
What is logarithm?A logarithm is the power to which a number must be raised in order to get some other number.
Given that, exponential equation, [tex]3^{c}[/tex]=27
By the exponential form of logarithm:
[tex]x^{a} =m[/tex] then logarithm form is a = logₓ m
Therefore,
[tex]3^{c}[/tex]=27
Taking logarithm both sides,
[tex]3^{c}[/tex]=27
c = log₃27
Hence, the logarithm equation is equivalent to the exponential equation is c = log₃27
Learn more about logarithm, click;
https://brainly.com/question/30085872
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Help me pls before the teacher notices
9) [tex]3 + 5n = 1 + 8n + 2[/tex] | subtract 5 on both sides, and solve 8n and -5n
[tex]3 = 1 + 3n + 2[/tex] | combine like terms, add 2 and 1
[tex]3 = 3n + 3[/tex] | subtract 3 on both sides, and solve 3 and -3
[tex]0 = 3n[/tex] | divide by 3n
[tex]0 = n[/tex] | final answer
10) [tex]5x + 12 = 4x + 6[/tex] | subtract 4x on both sides, solve -4x and 5x
[tex]x + 12 = 6[/tex] | subtract 12 on both sides, solve -12 and 6
[tex]x = -6[/tex] | final answer
11) [tex]-8x - 4 = 7 (-2 - 4x) + 4x[/tex] | distribute 7 into the parentheses
[tex]-8x - 4 = -14 - 28x + 4x[/tex] | combine like terms
[tex]-8x - 4 = -14 - 24x[/tex] | add 8x on both sides, and solve 8x and -24x
[tex]-4 = -14 - 16x[/tex] | add -14 on both sides, and solve 14 and -4
[tex]10 = -16x[/tex] | divide by -16 on both sides, and solve
[tex]-0.625 = x[/tex] | final answer
12) [tex]16 - 2n = - 8 + 4 (n - 3)[/tex] | distribute 4 into the parentheses
[tex]16 - 2n = -8 + 4n - 12[/tex] | combine like terms
[tex]16 - 2n = 4n - 4[/tex] | add 2n on both sides, and solve 2n and 4n
[tex]16 = 6n - 4[/tex] | add 4 on both sides, and solve 4 and 16
[tex]20 = 6n[/tex] | divide by 6 on both sides, and solve
[tex]3.33333 = n[/tex] | final answer (repeated)
13) [tex]-6 (3 - 6r) = -18 + 4r[/tex] | distribute -6 into the parentheses
[tex]-18 + 36r = -18 + 4r[/tex] | subtract 4r on both sides, solve 36r and -4r
[tex]-18 + 32r = -18[/tex] | add -18 on both sides, solve -18 and 18
[tex]32r = 0[/tex] | divide by 32 on both sides, and solve.
[tex]r = 0[/tex] | final answer
14) [tex]4 (3b - 1) = 9 - b[/tex] | distribute 4 into the parentheses
[tex]12b - 4 = 9 - b[/tex] | add -b on both sides, solbe 12 and b
[tex]13b - 4 = 9[/tex] | add -4 on both sides, solve 9 and 4
[tex]13b = 13[/tex] | divide 13 on both sides, solve
[tex]b = 1[/tex] | final answer
15) [tex]-6x + 7 (1 - x) = -4 (x - 4)[/tex] | distribute 7 into parentheses
[tex]-6x + 7 - x = -4 (x - 4)[/tex] | distribute -4 into the parentheses
[tex]-6x + 7 - x = -4x + 16[/tex] | combine like terms
[tex]-5x + 7 = -4x + 16[/tex] | add -4x on both sides, solve -5x and 4x
[tex]-x + 7 = 16[/tex] | subtract 7 on both sides, solve 16 and -7
[tex]-x = 9[/tex] | divide by -1 on both sides, solve
[tex]x = -9[/tex] | final answer
16) [tex]5 - (8v + 5) = -4 (1 + 3v)[/tex] | distribute the - and -4 into the parentheses
[tex]5 - 8v - 5 = -4 - 12v[/tex] | combine like terms
[tex]10 + 8v = -4 - 12v[/tex] | add 12v on both sides, solve 12v and 8v
[tex]10 + 20v = -4[/tex] | subtract 10 on both sides, solve -4 and -10
[tex]20v = - 14[/tex] | divide 20 on both sides, and solve
[tex]v = -0.7[/tex] | final answer
17) [tex]-8 (4 + 4n) = 8 (n + 6)[/tex] | distribute -8 and 8 into the parentheses
[tex]-32 - 32n = 8n + 48[/tex] | add -32n to both sides, solve 32n and 8n
[tex]-32 = 40n + 48[/tex] | subtract 48 on both sides, solve -32 and -48
[tex]-80 = 40n[/tex] | divide -80 on both sides, and solve
[tex]-2 = n[/tex] | final answer
UNDER CONSTRUCTION (I WILL EDIT WHILE YOU RECIEVE THE ANSWERS)
How to Get Answer for Number 9:
3+5n = 1+8n+2
5n+3=(8n)+(1+2)(Combine Like Terms)
5n+3=8n+3
Step 2: Subtract 8n from both sides.
5n+3−8n= 8n+3−8n
−3n+3=3
−3n+3−3=3−3
−3n=0
Answer: n = 0
[tex]\frac{-3n}{-3} =\frac{0}{-3}[/tex]
10.
5x + 12 − 4x = 4x + 6 − 4x
x + 12 = 6
x + 12 − 12 = 6 − 12
Answer: x = −6
11. Answer is also x = 0
(More answers will come as edited)
4x-10+14+7x-10x+2
I just want to make sure I got it right
Combine like terms:
4x, 7x, -10x
-10, 14, 2
4x + 7x - 10x = x
-10 + 14 + 2 = 6
6 + x should be the correct answer.
Determine if the sentence is true. Select all that apply.
2+5=19 - 12
4^5 + 1^5 = 2-1-1
5-4-3-2-1 = 30 - 34 -1
2(x+ 8)=2x - 8
2(x+5) -4x= 3(x-2)-5x+16
1st and 5th are true.
What is the value of "k" in the function f(x) = 112 - kx if f(-3) = 121