How do you create and solve equations in one variable given a real–world situation?
Step-by-step explanation:
1) first eliminate constant(number without variable) you eliminate constant by doing the inverse operation(if constant is being added, then subtract)(if constant is being subtracted, then add it)
ex: if x+9=32
subtract 9 from both sides to get rid of it
x=23
2) if there is another constant but this constant is being multiplied/divided then do the opposite operation to remove it
you could multiply by 3 on both sides:
x+9=69
x=60
Answer:
1) first eliminate constant(number without variable) you eliminate constant by doing the inverse operation(if constant is being added, then subtract)(if constant is being subtracted, then add it)
ex: if x+9=32
subtract 9 from both sides to get rid of it
x=23
2) if there is another constant but this constant is being multiplied/divided then do the opposite operation to remove it
you could multiply by 3 on both sides:
x+9=69
x=60
Hope this helps!
Step-by-step explanation:
Temperature Change In the United States, temperature is measured on the Fahrenheit temperature scale. On this scale, water boils at 212 degrees and freezes at 32 degrees. To denote a temperature of 32 degrees on the Fahrenheit scale, we write:
32 degrees F, which is read "32 degrees Fahrenheit"
At 10:00 in the morning in White Bear Lake, Minnesota, John notices the temperature outside is 12 degrees below zero Fahrenheit.
A. Write the temperature as a negative number Ans: ———-
degrees Fahrenheit.
B. B.) An hour later it has warmed up by 8 degrees. What is the temperature at 11:00 that morning? Ans: _____degrees Fahrenheit.
Answer: B
Step-by-step explanation:
Perform the arithmetic operation
(5/3)^0*2^-1
Answer:
0.5
Step-by-step explanation:
Answer:
0.5
Step-by-step explanation:
pam read 5 pages in her book on Thursday. She read 30 pageson friday .How manytimes more pages did she read on ready than Thursday
Answer:
6 more times
Step-by-step explanation:
5 x 6 = 30
X + 14 = 56 What would I do to both sides to answer this equation? O Multiply both sides by 14 © Subtract both sides by 14 Subtract both sides by 14 Add both sides by 14
To solve for X in this equation, you would subtract both sides by 14 because our goal is to get X on its own. If we write it out, we see that
X + 14 - 14 = 56 - 14
X=42
Because we have a positive 14, a negative 14 will average out to be 0, but what you do to one side, you must do to the other.
If you have any more questions, feel free to ask!
I need the work Plz help!
Answer:
Yes
Step-by-step explanation:
In the first equation, sub in (-3x/2) for y:
3x+4y=12
3x+4(-3x/2)=12
3x-(12x/2)=12
3x-6x=12
-3x=12
x=-4
y=-3x/2
y=-3(-4)/2
y=12/2
y=6
Since x=-4 and y=6, (-4,6) is a solution.
Each sundae counts as three , find the mean of the data in the pictograph below. Plsss :)
Answer:
12
Step-by-step explanation:
add the numbers to get the total then divide the total by the amount of columns/numbers.
12 + 12 + 18 + 6 = 48
48 / 4 = 12
Answer:
12 + 12 + 18 + 6 = 48
48/4 = 12
What is the quotient and the remainder of 26÷7
Answer:
26/7 is 3 remander 7 or 3.71
Step-by-step explanation:
Answer:
Quotient = 3, Remainder = 5.
Step-by-step explanation:
Refer to the attached picture.
Help Please 15 points!!!
please help me asap!!
this is pay back again yessir
LAST QUESTION!!! HELP MATH EXPERTSSS
Answer:
Y=4
Step-by-step explanation:
8*0+4=4
Work out the percentage change to 2 decimal places when £78.98 is increased to £100
Answer:
Percentage change = 26.61 %
Step-by-step explanation:
Given
Initial value = £78.98Final value = £100To determin
Percentage change = ?
Using the formula
Percentage change = (Final value - Initial value) / | Initial Vaue | × 100%
= (100 - 78.98) / 78.98 × 100%
= [21.02/78.98] × 100%
= 0.266143 × 100%
= 26.6143 %
Rounding off to 2 decimal places
= 26.61 %
Therefore,
Percentage change = 26.61 %
Composition of functions help!
Answer:
9+9/x
Step-by-step explanation:
f(g(x))= 9/x/x+1
=9/x ×(x+1)
=9x+9/x
=9+9/x
Answer:
Step-by-step explanation:
[tex](fog)(x)=f[g(x)]=\frac{9}{(\frac{x}{x+1} )} =9(\frac{x+1}{x})=9(1+\frac{1}{x})[/tex]
*
3) What is 40ab in expanded form?
Answer:
[tex]40*a*b[/tex]
Step-by-step explanation:
40ab is 40 multiplied by a multiplied by b
A lawn seed mixture contains three types of seed: bluegrass, rye, and Bermuda. The costs per pound of the three types of seed are 12 cents, 14 cents, and 3 cents, respectively. In each batch there must be at least 25% bluegrass seed, and the amount of Bermuda must be no more than 2/3 the amount of rye. To fill current orders, the company must make at least 6000 pounds of the mixture. How much of each kind of seed should be used to minimize cost
Answer:
612 dollars
Step-by-step explanation:
From the given information:
Amount of the total mixture = 6000 pounds
Also, for each batch, there needs to be at least 25% bluegrass seed.
It implies that:
In 6000 pounds, there are (25×6000)/100 = 1500 pounds of bluegrass seed.
The remaining amount of (6000 - 1500 = 4500)pounds will be for rye and Bermuda.
Suppose the amount of rye seeds = x pounds
while that of Bermuda is (4500 - x) pounds
Then, since the amount of Bermuda contains no more than 2/3 of that of rye.
The equation can be written as:
[tex]( 4500 - x) = \dfrac{2x}{3}[/tex]
13500 - 3x = 2x
13500 = 5x
[tex]x = \dfrac{13500}{5}[/tex]
x = 2700
Now, the amount of rye seed = 2700 pounds
while that of Bermuda seed = 4500 - 2700 = 1800 pounds
However, For Bluegrass, we are told that the cost of 1 pound is 12 cents.
So, the cost of 1500 bluegrass seeds = 12 × 1500 = 18000 cents
For rye seed; cost of 1 pound = 14 cents
the cost of 2700 rye seeds = 14 × 2700 = 37800 cents
For Bermuda seed; cost of 1 pound = 3 cents
the cost of 1800 rye seeds = 3 × 1800 = 5400 cents
The total amount = (18000 + 37800 + 5400) = 61200 cents
Recall that:
100 cents = 1 dollars
61200 cents = x dollars
x = 61200 cents/100 cents
x = 612 dollars
Thus, the minimum cost is 612 dollars.
Subtract. Write your answer in simplest form.
6 3/4 - 2 3/20
Answer:
(6-2) (3/4-3/20)
4 ((3×20-3×4)/80)
4 48/80
4 3/5
A right triangle has side lengths 7, 24, and 25 as shown below.
Use these lengths to find cos B, tan B, and sin B.
I need helpppp
Answer:
I hope it helpss!!!!!!! :)
Agatha borrowed $4,500 from the bank. 4 years later, Agatha owes the bank $5,040. What was the percentage rate of simple interest in the loan?
Answer:
12%
Step-by-step explanation:
If we subtract both numbers we get 540.
[tex]\frac{540}{4500} = \frac{x}{100} \\[/tex]
540 x 100 = 54,000
54,000 / 4,500 = 12%
What is the 7.05 % of 1,051,50
Answer: 74130.75
Step-by-step explanation: plz mark brainliest
Mrs. Lazo bought 91/8 m of curtain cloth. She used 3 5/6 m to make a
curtain for their bedroom. How many meters of cloth were not used?
The volume of a cone is 108 pi cubic inches. Its height is 4 inches. What is the radius of the cone? Round the answer to the nearest tenth if necessary.
5.2 in.
9 in.
34.7 in.
81 in.
Answer:
Step-by-step explanation:
V = 108π in³
h = 4 in
r = √(3V/(πh)) = 9 in
Answer:
B
Step-by-step explanation:
If you have 108 pi and then you divided it to find the radius and all that stuffy stuff you will end up getting 9 and if you dont want to do it that way just substitute each one of the answer chooses as the radius until the volume gets you 108 pi cubic inches.
please help me thank you in advance!
Answer:
x = √6/2
Step-by-step explanation:
Side a = 1.73205 --> √3
Side b = 1.22474 --> √6/2
Side c = 1.22474 --> √6/2
A number is no less than 13. On a number line
Answer:
greater than or equal to 13 line with closed dot going to the right
Step-by-step explanation:
13●·------> but put the closed dot on the 13
What is 7 and three tenths minus 5 and seven tenths
Answer:
1.6
Step-by-step explanation:
7 and three tenths = 7 + 3/10 = 7.3
5 and seven tenths = 5 + 7/10 = 5.7
7.3-5.7 = 1.6 or can be written as 1 and six tenths, or 1 and three fifths.
whats the value of (-6)(2)+(-8÷4)
Answer:
-14
Step-by-step explanation:
(-6)(2) = -12
(-8÷4) = -2
-12 + -2 = -14
Therefore, (-6)(2)+(-8÷4) = -14
A car traveling 118 miles uses 4 gallons of gas. At this rate, how many miles can it travel using 13 gallons of gas
Answer:
12 miles per gallon
Step-by-step explanation:
I hope this helps
Step-by-step explanation:
118 miles = 4 gallons 118 ÷ 4 miles = 1 gallon29.5 miles = 1 gallonso, therefore( 29.5 × 13 )miles = 13 gallons383.5 miles = 13 gallonsMARK ME BRAINLISTFOLLOW MEIN triangle ABC point D is the centroid and BD=4 Find BE
Answer:
2
Step-by-step explanation:
What is so special about the centroid? It is the distinct point that each of the three medians intersect. Therefore, from this definition we can figure out through some geometric proof (I'm not going to go into this) the following:
If you draw the medians, you will notice that they intersect at exactly one point. That is the centroid. You will also notice that the centroid splits the median into 2 parts: top and bottom. The proof suggests that the top part is 2 times the bottom part.
In this case, the centroid is D and the top point is B. Therefore, we can figure out that BD, the top part, must be 2 times the bottom part, which is BE. Thus, we determine that BE is 2 because 4/2 = 2.
I would encourage you to draw it out so you can understand. Unfortunately, typing may not work all the time
Find the sum: (x + 3) + (4x - 1)
5x - 4
5x + 2
x - 4
9x
please answer fast i need help soon
Answer:
the answer is 5x + 2. I hoped that worked
2) What is 4 x a x 5 x b in simplest form?
Answer:
20ab
Step-by-step explanation:
Pls help I’ll brainlest ASAP
Step-by-step explanation:
Given
-30 = - 0.4 k
30 = 0.4k
k = 30 / 0.4
k = 75
hope it helps :)
Answer:
Simplifying
-38 = -0.4k
Solving
-38 = -0.4k
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '0.4k' to each side of the equation.
-38 + 0.4k = -0.4k + 0.4k
Combine like terms: -0.4k + 0.4k = 0.0
-38 + 0.4k = 0.0
Add '38' to each side of the equation.
-38 + 38 + 0.4k = 0.0 + 38
Combine like terms: -38 + 38 = 0
0 + 0.4k = 0.0 + 38
0.4k = 0.0 + 38
Combine like terms: 0.0 + 38 = 38
0.4k = 38
Divide each side by '0.4'.
k = 95
Simplifying
k = 95