A variable can be used to represent an unknown amount. Then you write an equation using the variable and based on the information you are given, and you solve the equation to find the unknown amount.
Here is an example.
Mary has money in a bank account. She received $20 for her birthday. She deposited the $20 in her account. After the deposit, she was told the account had a balance of $85. How much money did she have in the account before depositing the $20?
We don't know the amount she had before depositing the $20, so we will call that amount x. x is a letter used as a variable to represent an unknown amount.
She had x dollars in her account before depositing the $20.
After she deposited the $20, she now has x plus 20, or x + 20.
We are told her account now has $85, so x + 20 must equal 85.
That allows us to write an equation which we can then solve to find the amount of money she had in the account before depositing the $20.
x + 20 = 85
Subtract 20 from both sides.
x + 20 - 20 = 85 - 20
x + 0 = 65
x = 65
Since the variable x represents the amount of money in the account before depositing the $20 birthday money, we can now answer the question.
Mary had $65.
you can use varibales in real life problems by using them to describe the constants
pam's orchard Delicious Apples $10 entry fee first 10 pounds $1.50 per pound Each additional pound $0.75
If Chis goes to Pam's Orchard how many pounds of apples will he get? Explain how you figured it out.
find the total cost of five pop up hampers at 11.99 each and three nonstick mini doughnut pans at 10.99 each
Hi jbax,
But the answer would be
92.92
Please mark me as brainliest
if you want caculations please let me know
if spongbob has 34 ponds of secret formula how mean krabby patties can he make if it takes 1 1/2 to make on 30 pts
If I understand the question, then he would be able to make 22 2/3 patties if each patty requires 1 1/2 pound of secret formula and he only has 34 pounds.
7t=x,for t .what is the formula
The formula for t would be x/7.
In order to find this, we simply follow the order of operations to solve for t.
7t = x ----> Divide both sides by 7
t = x/7
To solve the equation 7t = x for t, divide both sides of the equation by 7. This will give you the formula t = x/7.
Explanation:The provided equation in the question is 7t = x. If you're looking to solve for t, we want to isolate t on one side of the equation. In order to do this we have to remove the 7 multiplied by t. To do this, we can divide both sides of the equation by 7. This leads us to the formula t = x/7. Thus removing any variable or value attached to t, we can make t the subject and derive its value
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Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game: 90x − 20 What does the factor x of the first term of the expression represent?
Choose the number below that represents the digit in the hundreds place of the number 1098. A)8 b)0 c)1 d)9
The number in the hundreds place is 0
Answer:
B) 0
Step-by-step explanation:
The number that represents the digit in the hundreds place of the number 1098 is 0. Since we know that a hundred (100) has two zeros, this means we will count 2 values starting from the back of the given number (1098). The value before the last number counted will represent the digits in the hundred place. The two values counted from the back are 8 and 9. The value preceding 9 is 0, thereby making 0 to represent the digit in the hundred place.
Can you help me please now
26 divided by 2 is 13
13 divided by 2 is 6.5
6.5 + 6.5 = 13
What is the answer for this question
B
the surface area (SA ) is made up of 2 rectangles 2 by 6, 2 rectangles 2 by 5 and 2 rectangles 6 by 5
SA = 2( 2 × 6 ) + 2(2 × 5 ) + 2(6 × 5 )
= 24 + 20 + 60 = 104 m²
100 POINTS BRAINLIEST QUESTION ATTACHED!!
660 feet
given distance varies directly with time (t) then
d = kt ( k is the constant of variation )
find k using the condition d = 264 when t = 0.5
k = [tex]\frac{d}{t}[/tex] = [tex]\frac{264}{0.5}[/tex] = 528
thus d = 528t
when t = 1.25
d = 528 × 1.25 = 660 feet
Answer:
660 feet
Step-by-step explanation:
given distance varies directly with time then
d = kt
find k using the condition d = 264 when t = 0.5
k = = = 528
thus d = 528t
when t = 1.25
d = 528 × 1.25 = 660 feet
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Given:
A, B are rt 's
AC = BD
Prove:
MC = MD
Which of the following statements is the reason for line 2 in the proof?
Right angles are equal.
Vertical angles are equal.
Definition of bisects.
The answer is Vertical angles are equal.
Answer:
Vertical angles are equal
Step-by-step explanation:
just did this assignment :)
750% of it is 450 HELP
A two person relay race consists of eight times around a football field. Juan runs four and one-sixth times around and Antonio runs three and two-thirds times around the field. What are the distances they ran as improper fractions?
A. Juan: 11/3 ; Antonio:25/6
B. Juan: 3 2/3 ; Antonio:4 1/6
C. Juan: 4 1/6 ; Antonio: 3 2/3
D. Juan: 25/6 ; Antonio: 11/3
Answer:
Option D is correct.
Step-by-step explanation:
Given:
Distance Juan runs around a football field = [tex]4\frac{1}{6}\:times[/tex]
Distance Antonio runs around a football field = [tex]3\frac{2}{3}\:times[/tex]
We need to find the distance they run in improper fraction.
We are given Distance in Mixed fraction. So we convert the distance in improper fraction.
Distance Juan runs around a football field = [tex]4\frac{1}{6}=\frac{4\times6+1}{6}=\frac{25}{6}[/tex]
Distance Antonio runs around a football field = [tex]3\frac{2}{3}=\frac{3\times3+2}{3}=\frac{11}{3}[/tex]
Therefore, Option D is correct.
HELPPPP What is the range of g
The range is how long the graph extends vertically. So, the lowest value is -9 (since the graph extends down until -9) and the highest value is 9 (since the graph extends up until 9). The lowest value goes in the first box and the highest value goes in the second box. The range is:
-9 ≤ g(t ) ≤9
Two hikers stopped for a snack. They shared 2/3 of a pound of trail mix. If the hikers shared the trail mix equally, how much trail mix did each hiker get?
Answer:
1/3
Step-by-step explanation:
i took thee quiz and please make me branilest
Step-by-step explanation:
How many solutions does this system of equations have? -x+2y=6 -x+2y=0 A. none B. exactly one C. exactly two D. infinitely many
i think the answer is going to be d
The system of equations has no solutions because the equations represent the same line and lines are parallel. Therefore, option a is the correct answer.
Let's analyze the system of equations:
−x+2y=6
−x+2y=0
Both equations have the same coefficients for x and y, which means they represent parallel lines.
However, they also have different constants on the right-hand side (6 and 0).
The system of equations is inconsistent because parallel lines with different y-intercepts do not intersect.
Therefore, there are no solutions.
The correct answer is: A. None
13x = 234
HELPPPPPPPPP
Answer,
X = 18
Hope this helps :-)
13x=234
divide 13 on both sides
x=18
A baseball team played 75 games and lost 20% of them. How many games did the team lose?
15
20
55
60
I am pretty sure it would be 15, because 75 x .20 = 15. Have a great day!
The answer would be 15. 15 times 5 is 75. And 5 times 20 would get 100% or 75. I hope this helps.
What is the mode of the data set below? 0, 1, 1, 0, 2, 3, 2, 1, 0, 4, 1, 1 A. 0 B. 1 C.2 D. 3
your answer would be 2
A recipe that serves four calls for 2 1/4 cups of butter. How many cups of butter are needed to serve ten?
5 5/8 cups, 8 people 4 1/2 cups, 2 people 1 1/8 cups, 4 1/2 = 4 4/8
4 4/8 + 1 1/8= 5 5/8
Bradley works as a traveling salesman and leases a car for his business. The leasing company has a base rate for the first 15,000 miles per year, but has an additional charge of $500 + $0.25/mile for each mile over the 15,000. Bradley has already driven 4300 miles in the first three months. If he drives a similar amount for the rest of the year, how much will he have to pay extra? Show all work and explain your answer.
Answer:
$1050.00
Step-by-step explanation:
The leasing company has a base rate for the first 15,000 miles, but has an additional charge of $500+0.25/mile for each mile over the 15,000 miles.
Bradley has already driven 4,300 miles in first three months.
And he drives a similar amount for the rest of the year. So we can calculate on an average how much distance does he cover each month:
So he has driven 4,300 miles in three months, on an average the distance he drives a month, is:
[tex]\frac{4300}{3}=1433.33 [/tex] miles
So over 12 months he drove:
[tex]1433.33\times 12=17200[/tex] miles
Now, for first 15,000 miles he needs to pay some base rate. Now we will calculate how much extra has he driven beyond 15,000 miles.
So he has driven:
[tex]17200-15000=2200[/tex]
He has driven 2,200 miles extra beyond first 15,000 miles.
So the additional amount he needs to pay is:
[tex]\$500+\$(0.25\times 2200)=\$500+\$550=\$1050.00[/tex]
Therefore, the additional amount that is in addition to the base rate that he needs to pay is $1050.00.
Answer: Bradley has to pay $1050 extra to the leasing company.
Step-by-step explanation:
Distance traveled by Bradley's car in 3 months i.e.1/4 of year =4300 miles
Distance traveled by Bradley's car in 1 year(12 months) =4 times he drove for 1/4 of year=4×4300=17200 miles
Now,Extra distance covered by car=17200-15000=2200 miles
As there is a additional charge of $500 + $0.25/mile for each mile over the 15,000.
Thus, he has to pay extra amount=$500+$0.25 times extra distance=$500+$(0.25×2200)=$500+$550=$1050
∴ Bradley has to pay $1050 extra to the leasing company.
How many baseballs would fit into a box that has the dimensions (3*5)*2
3*5= 15
15*2= 30
30 baseballs
To find out how many baseballs fit in a box with given dimensions, calculate the volume of the box and the volume of the baseball. Divide the total volume of the box by the volume of a baseball for a basic estimation, but remember this doesn't account for packing efficiency or spaces between balls.
Explanation:The question asks how many baseballs would fit into a box with dimensions 3x5x2 cubic units. To solve this, one should first calculate the volume of the box and then divide it by the volume of a baseball.
First, the volume of the box is calculated by multiplying the dimensions: 3*5*2 = 30 cubic units.
For an idealized spherical baseball, the diameter is about 3 inches, giving it a radius of 1.5 inches. The volume of a sphere is given by the formula (4/3)πr³. Using this formula and converting the inches to the same units as the box dimensions, we calculate the volume of a baseball.
Then, we divide the total volume of the box by the volume of a single baseball to determine how many baseballs can fit into the box. However, this is a simplistic estimation as it neglects factors such as the packing efficiency or the potential spaces between the balls.
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Which addition property is being illustrated below? (Type commutative or associative)
(6 + 7) + 1 = 6 + (7 + 1)
The associative property
The equation (6 + 7) + 1 = 6 + (7 + 1) demonstrates the associative property of addition, indicating that grouping does not affect the sum of numbers being added.
The addition property being illustrated by the equation (6 + 7) + 1 = 6 + (7 + 1) is the associative property of addition. This property states that when three or more numbers are added, the grouping of the numbers does not change the sum.
In other words, no matter how you group the numbers (which ones you add first), the total is always the same. The equation given shows that whether you add 6 and 7 first, and then add 1, or you add 7 and 1 first, and then add it to 6, the result is the same.
Teresa has 3 pairs of dress shoes and 4 pairs of sneakers. Which describes a ratio of 7 : 3? A Total pairs to dress pairs B Pairs of sneakers to dress pairs C Dress pairs to pairs of sneakers D Total pairs to pairs of sneakers
A. Total pairs to dress pairs
The ratio of 7 : 3 accurately describes the relationship between Teresa's total pairs of shoes, which is 7 (3 dress + 4 sneakers), to her dress pairs. Thus, option A, 'Total pairs to dress pairs,' is the correct answer as it simplifies to 7:3.
The student is asking about ratios. Teresa has 3 pairs of dress shoes and 4 pairs of sneakers, which makes a total of 7 pairs of shoes. The ratio 7 : 3 could describe several different relationships between these numbers. However, we must find a ratio that could simplify to 7 : 3 based on the information given. Here are the options with their simplified ratios:
Total pairs to dress pairs: 7/3, which simplifies to 7 : 3.Pairs of sneakers to dress pairs: 4/3, which does not simplify to 7 : 3.Dress pairs to pairs of sneakers: 3/4, which does not simplify to 7 : 3.Total pairs to pairs of sneakers: 7/4, which does not simplify to 7 : 3.The correct answer is A. Total pairs to dress pairs, as this is the only option where the ratio correctly simplifies to 7:3, representing 7 total pairs of shoes to 3 pairs of dress shoes.
Which expression is equivalent?
−9(−2x − 3)
A) 18x + 27
B) 18x − 27
C) −18x + 27
D) −18x − 27
Distribute the -9 into the values in the parentheses.
[tex]-9(-2x-3)[/tex]
[tex]-9*-2x=18x[/tex]
[tex]-9*-3=27[/tex]
Therefore, the equation then becomes: [tex]18x+27[/tex].
The answer is the first choice, or A.
what is the absolute value of -37?
Answer:
the answer is positive 37
Step-by-step explanation:
Any negative number inside the absolute value brackets will always equal a positive number. ((((((((((((((((((((((((((((((:
Answer:
the answer is 37
Step-by-step explanation:
the absolute value of a negative number is the same number as a positive
Write the point slope form of the equation of the line using the given info. (-3,-4), slope = 2
y + 4 = 2(x + 3)
the equation of a line in ' point-slope form ' is
y - b = m(x - a )
where m is the slope and (a, b) a point on the line
here m = 2 and (a, b) = ( - 3, - 4)
y + 4 = 2( x + 3 ) ← in point-slope form
what algorithm (rule) will produce the correct result for the sum "a+b" where a and b each represent any rational number.
Answer:
To find the sum of a + b where a and b are rational number.
1. when a and b are natural numbers
just add them . for example a =3, b=8
then ,a + b = 11
2. When a and b are whole numbers,
simply add them . for example a= 0, b=8
a+ b = 0 + 8= 8
3. When a and b are integers
for example, a =-1 b=8,
a+ b= -1+ 8 =7,
a=-2, b= -8
a+ b= -2-8=-10
a= -6 , b=2
a+ b= -6 + 2= -4
a= 8, b= -2
a+ b= 8 +(-2) =6
I have written this because Rational number = [Integers{Whole number(Natural number)}]
now when a= Any fraction=[tex]\frac{p}{q}[/tex] and b = Any fraction=[tex]\frac{u}{v}[/tex]
now ,
[tex]\frac{p}{q} + \frac{u}{v}[/tex]
Find L.C.M of q and v
= if q and v are Co-prime , just multiply them to find their L.C.M.
For example 14,9. LCM=14×9=126
Otherwise, Find factors of q and v . Then take out common factors first and then multiply the remaining with with common factors.For example
q=12 and v=18
12 =2×2×3
18=2×3×3
common factor =2,3
non common=2,3
L.C.M= 2×2×3×3=36
Suppose LCM of q and v = r
then ,[tex]\frac{p}{q} + \frac{u}{v}[/tex]
=[tex]\frac{{\frac{r}{q}}\times p+{\frac{r}{v}\times u}}{r}\\[/tex]
= [tex]{{\frac{r}{q}}\times p+{\frac{r}{v}\times u}} = k[/tex]
then ,
a + b=[tex]\frac{k}{r}[/tex]
Scott has 10 1/2 yd of fabric to make banners for the community fair. He needs 1 3/4 yd for each banner. How many banners can Scott make?
A 5
B 5 1/2
C 6
D 12 1/2
Answer:
I did the test and got 100 the awnser to this qwestion is 6 hope you get 100. Good luck
Step-by-step explanation:
Plz someone help five stars Brainliest and thanks!”³
Part (A)
The blue car travel 38.5 miles on 1.25 gallons of gasoline
∴ The unit rate of the blue car = 38.5 ÷ 1.25 = 30.8 miles per gallon
==========================================
Part (B):
The red car travel [tex]23 \frac{1}{5}[/tex] miles on [tex]\frac{4}{5}[/tex] gallons of gasoline.
[tex]23 \frac{1}{5}[/tex] = 23.2 and [tex]\frac{4}{5}[/tex] = 0.8
∴ The unit rate of the red car = 23.2 ÷ 0.8 = 29 miles per gallon
==========================================
Part (C):
Which car could travel the greater distance on 1 gallon of gasoline?
The answer: by reviewing part (A) and part (B)
So, the blue car can travel the greater distance on 1 gallon of gasoline.
(50 Points) Can someone explain this math problem to me?
So, (7.14 x 10^10) + (3.21 x 10^10) equals 1.035 x 10^11. What I'm stuck on, is how does 10^10 end up being 10^11?
Given problem is:
[tex](7.14\times10^{10})+(3.21\times10^{10})[/tex]
step by step solution:
we will add similar elements.
[tex]10^{10}(7.14+3.21)[/tex]
=[tex]10^{10} (10.35)[/tex]
Now converting [tex]10^{10}[/tex] in decimal form we get 10000000000 (10 zeroes)
Now multiplying 10.35 with 10000000000 we get 103500000000 (8 zeroes)
or we can change it to exponential form like [tex]1.035\times10^{11}[/tex]
11 because when you count from the extreme right end '0' and come counting to the left side, you skip 11 numbers till you reach the first number '1'. And when you put a decimal after 1st number, so the last '0' is at the 11th place, that is why it is [tex]10^{11}[/tex] .