The expression 83 - 7.5 t represents the amount of water that is left in the tank after t hours as 7.5 l of water drains every hour from the large water tank.
We are given that:
7,5 l of water drains from the large water tank every hour.
Also, the water level in the large water tank initially was 83 l
We need to tell what does the expression 83 - 7.5 t represent.
It represents the amount of water that is left in the tank after t hours as 7.5 l of water drains every hour from the large water tank.
Therefore, the expression 83 - 7.5 t represents the amount of water that is left in the tank after t hours as 7.5 l of water drains every hour from the large water tank.
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How many 1 3/4-inch long machine bolt blanks can be cut from a 5-foot length of stock? allow 7/32 inch for waste on each blank.
The number of the 1(3/4) inch blocks will be 34 out of the 5 feet of stock.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that 1 3/4-inch long machine bolt blanks can be cut from a 5-foot length of the stock. The number of the blocks will be calculated as below:-
Number = 5 foot / ( 1(3/4)
Number = 60 / ( 7/4)
Number = 34.2
Therefore, the number of the 1(3/4) inch blocks will be 34.
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help the question is in the picture
Answer:64
Step-by-step explanation:33+116=149
180-149=31
31+33=64
the solution set of a linear system involving variables x1; : : : ; xn is a list of numbers.s1; : : : ; sn/that makes each equation in the system a true statement when the values s1; : : : ; sn are substituted for x1; : : : ; xn, respectively.
The given statement is False, because the description only applies to one solution. The solution set contains all conceivable solutions.
What is a linear number pattern?A linear number pattern is a succession of numbers with the same difference between each term. As an example, consider the numbers 1, 3, 5, 7, 9,... Every phrase differs by a factor of two. These are also known as linear numbers. Another example would be 7, 17, 27, 37,...
What is the nonlinear sequence formula?A formula can be found for linear sequences, that is, sequences in which the difference between succeeding terms is always the same. would have resulted in the formula un = 3n + 35. produces the formula un = 3n - 10, where c is either positive or negative.
To obtain the remaining phrases, you simply keep using the addition of 1 method.
Here are a few further illustrations of linear number patterns:
Beginning with three points and a two-point difference:
3, 5, 7, 9, … Starting with five and a three-point difference:
5, 8, 11, 14, …
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7th GRADE SCIENCE QUESTION PLEASE ANSWER AS FAST AS YOU CAN I NEED IT (it can be 1 day late is fine... Ok I'll give you today like this minute and you can answer it when it is posted about 1-2 days but if you can answer it now that will be great)!!!
Question #1: State the role of a nucleus in a cell.
Given m || n, find the value of x and y.
Rewrite the expressions using the distributive property:
3 (2x+7)
Answer:6x+21
Step-by-step explanation:
hope this helps
The cost of a ticket to the circus is $23.00 for children and $47.00 for adults. on a certain day, attendance at the circus was 500 and the total gate revenue was $18,700. how many children and how many adults bought tickets?
Answer:
200 children and 300 adults
Step-by-step explanation:
No. of children = c
No. of adults = a
EQUATION 1: a + c = 500
EQUATION 2 : 23c + 47a = 18700
a = 500 - c
23c + 47(500 - c) = 18700
23c + 23500 - 47c = 18700
-24c = 18700 - 23500
-24c = -4800
-4800/-24 = c
c = 200
a = 500 - 200
a = 300
Solve for y 11x+y= 18x
Answer: y = 7x
Step-by-step explanation:
11x + y = 18x
-11x -11x
y = 7x
Need help with this….
-(v+4)+5=4v+1-5v
Answer:
All real numbers
Step-by-step explanation:
We can first factor the negative onto the parentheses to get [tex]-v-4+5=4v+1-5v[/tex]. Now we can combine like terms, getting [tex]-v+1=-v+1[/tex] . Since both sides are equal, the answer is "all real numbers," which can be represented with this symbol: [tex]\mathbb{R}[/tex]. (an R but with an extra vertical line in front)
To make a sweater out of fabric, ruth needs 1 1/2 yards of fabric. if ruth bought 8 3/4 yards of fabric, how many sweaters can she make?
A 12 cm by 20 cm photograph is on display in an art gallery. The gallery curator wants to hang other photographs in the gallery that are the same size. To resize the photographs without distorting the image, the curator needs to find photographs that are proportional to the original one. The dimensions of several photographs are shown. Which photograph’s dimensions are proportional to the original photograph? Select all that apply.
Answer:
.
Step-by-step explanation:
(a) Make the subject of the formula t
2(a+t)=5t+7
When Isabel began her book-selling business, she stored her inventory in her garage. Now that her business has grown, she wants to rent warehouse space. Lisa owns a large warehouse nearby and can rent space to Isabel. The area of the warehouse is 8,100 square feet. Lisa is willing to rent Isabel as little as 100 square feet of the space or up to as much as the entire warehouse. Her only requirement is that all spaces must be square.
The total length of each row of bookshelves will be 45 of the length of the storage space.
Let x be the area of the space that Isabel rents and f(x) represent the total length of a row of bookshelves. How would you find the length of a row of bookshelves? (3 points)
Answer:
f(x) = 4 ÷ 5√x
The area is mentioned to be square, so its length will be the square root of x. 4-fifths of that same length are the length of 1 row of the bookshelves, therefore, this is your answer.
➲ Hope it helps!
Answer: 90 feet
Step-by-step explanation:
The function that expresses length f(x) feet, in terms of area x square feet can be written as:
f(x) = sqrt(x)
So, when x = 100 square feet, f(x) = 10 feet,
when x = 121 square feet, f(x) = 11 feet,
when x = 8100 square feet, f(x) = 90 feet
i did what i could do
Alex is buying a sweater that originally costs $35 and a pair of jeans that originally cost $28. If the sweater is marked down 30% and the jeans are marked down 15%, find the total cost, including 8% sales tax.
Answer: $67.28
Step-by-step explanation:
Students were surveyed about what summer camp they would be attending.
Camp Name Number of Students
Camp Arrowhead 130
Camp Kern 220
Camp Redwood 170
Of the students that stated they would be going to Camp Redwood, 20% did not go to camp. Of the students that stated they would be going to Camp Kern, 15% did not go to camp. How many more students went to Camp Kern than Camp Redwood?
If the students that stated they would be going to Camp Redwood, 20 percentage did not go to camp and the students that stated they would be going to Camp Kern, 15 percentage did not go to camp, then 51 more students went to camp kern than camp redwood
The total number of students in Camp redwood =170
Number of students who didn't attend the camp redwood = 170×(20/100)
=34 students
Number of students who went to camp redwood =170-34
=136 students
Total number of students in Kern camp = 220
Number of students who didn't attend the camp Kern=220×(15/100)
=33 students
Number of students who went to camp kern =220-33
=187 students
How many more students went camp Kern than Camp Redwood= 187-136
=51
Hence, 51 more students went to camp kern than camp redwood
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Sam gets $6.00 each week for allowance. he wants to purchase a toy that costs $24.00. he also wants to purchase a movie that costs $6.00. label your drawings with toy
Answer:
$36
Step-by-step explanation:
$6.00+$24.00+$6.00
Solve system of equations.
y=2 x+1
y=3 x
The system of equations involving y = 2x + 1 and y = 3x has the solution written as an ordered pair (1 , 3).
A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.
There are three methods that can be used to solve system of linear equations.
1. Elimination
2. Substitution
3. Graphing
Using substitution method, given two linear equations in x and y,
y = 2x + 1 (equation 1)
y = 3x (equation 2)
Since both equations are in the form of y in terms of x and some constant, substitute the second equation to the first equation.
y = 2x + 1 (equation 1)
3x = 2x + 1
Combining the all terms containing the variable x on one side and the constants on the other side of the equality, and solving for x.
3x - 2x = 1
x = 1
Substituting the value of x in the second equation,
y = 3x (equation 2)
y = 3(1)
y = 3
Writing it as an ordered pair, we got (1 , 3) as the solution of the system of equations involving y = 2x + 1 and y = 3x.
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y is directly proportional to x.
When y = 30, x = 6
a) Work out an equation connecting y and x.
b) Work out the value of y when x = 12.
Answer: Our required equation would be
Step-by-step explanation:
Since we have given that
y=30, when x = 6.
As there is direct proportion between x and y.
so, it becomes,
So, the equation connecting y and x would be
When we put the value of k, we get that
Hence, our required equation would be y=5x
Help me, please for my Maths Homework I don't understand I need answers
The resulting coordinate points after translation is (4, -4), (0, -2) and -6,-2)
Translating coordinates ofa triangleThe triangle is a shape that has three sides and angles. Given the coordinate points of the triangle given as:
A(-2, 3)
B (-2, 5)
C (-4, 5)
If the coordinate points is translated by the vector (2, -7), hence the resulting coordinate points will be:
A' = (2+2, 3-7) = (4, -4)
B' = (-2+2, 5-7) = (0, -2)
C' = (-4-2, 5-7) = (-6,-2)
Hence the resulting coordinate points after translation is (4, -4), (0, -2) and -6,-2)
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Matthew bought a scale model toy version of the
space ship in his favorite science fiction television
show. If the tov is constructed with the scale
1 inch
= 12 feet and the toy is 1 foot 4 Inches
long, how long is the ship in the television show?
A. 192 feet
B.168 feet
C.60 feet
D. 49 feet
Answer: A. 192 feet
Step-by-step explanation:
1 foot 4 inches=
1 foot+4 inches=
12 inches+4 inches=
16 inches
Hence,
16*12=
16*(10+2)=
(16)(10)+(16)(2)=
160+32
192 feet
3/4 ÷ 9 =
answer Issssssss
Answer: 0.08333333333
Step-by-step explanation:
is a criterion of causality that requires a change in a predictor variable (x) to be consistently associated with some change in the explanatory variable (y).
Correlation or co variation a criterion of causality that requires a change in a predictor variable (X) to be consistently associated with some change in the explanatory variable (Y) .
What is general deterrence?
In contrast to "specific" deterrence, which refers to the effects of legal punishment on those who actually receive them, "general" deterrence refers to the consequences of legal punishment on the broader population (possible offenders).
How do you explain correlation?
If two variables move in the same direction, they are said to have a positive correlation; if they move in opposing ways, they have a negative correlation. Correlation is a statistical word that describes the degree to which two variables move in coordination with one another.Learn more about Correlation
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The complete question is -
--------------- a criterion of causality that requires a change in a predictor variable (X) to be consistently associated with some change in the explanatory variable (Y) ?
Please answer number one and two.
[tex]\sqrt{40+9}[/tex]
[tex]\frac{\sqrt[3]{125+3} }{2}[/tex]
The simplified forms of the given expressions are
7[tex]2\sqrt[3]{2}[/tex]Evaluating an expressionFrom the question, we are to evaluate the given radical expressions
The given radical expressions are
[tex]\sqrt{40+9}[/tex]
and
[tex]\frac{\sqrt[3]{125+3} }{2}[/tex]
Evaluating [tex]\sqrt{40+9}[/tex]
[tex]\sqrt{40+9}[/tex]
= [tex]\sqrt{49}[/tex]
= 7
Evaluating [tex]\frac{\sqrt[3]{125+3} }{2}[/tex]
[tex]\frac{\sqrt[3]{125+3} }{2}[/tex]
= [tex]\frac{\sqrt[3]{128} }{2}[/tex]
= [tex]\frac{\sqrt[3]{64 \times 2} }{2}[/tex]
= [tex]\frac{\sqrt[3]{64 } \times \sqrt[3]{2} }{2}[/tex]
= [tex]\frac{4\times \sqrt[3]{2} }{2}[/tex]
= [tex]\frac{4 }{2} \times \sqrt[3]{2}[/tex]
= [tex]2\times \sqrt[3]{2}[/tex]
= [tex]2\sqrt[3]{2}[/tex]
Hence, the simplified forms of the given expressions are
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What is the slope of the line that passes through the points (7,-4)
and (11,-4)? Write your answer in simplest form.
Slope of line=0
Slope of line=[tex]\frac{y2-y1}{x2-x1}[/tex]
=[tex]\frac{-4+4}{11-7}[/tex] =[tex]\frac{0}{4}[/tex] =0
In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. The letter m is frequently used to represent slope; the reason for this usage is unclear, but it can be found in O'Brien's (1844) and Todhunter's (1888) formulations of the equation for a straight line as "y = mx + b" and "y = mx + c," respectively.
The ratio of the "vertical change" to the "horizontal change" between (any) two unique points on a line is used to compute the slope.A declining line has a negative "rise." The line might be useful, as determined by a road surveyor, or it might appear in a diagram that represents a road or a roof as a description or a design.
The slope's absolute value serves as a gauge for a line's steepness, incline, or grade. A steeper line is indicated by a slope with a higher absolute value. A line can be drawn in one of four directions: upward, downward, horizontal, or vertical.
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a youth chorus has 30 members. there are 14 boys in the chorus. what is the ratio of boys to girls in simplest form? 715 7 over 15 87 8 over 7 815 8 over 15 78
The ratio of boys to girls in Simplest form is [tex]\frac{7}{8}[/tex] or 7:8 .
Ratio is defined as the term that is used to compare two or more numbers.
It is denoted by a:b and ":" is read as "is to" .
For Example , In a mixture of 10liter there 9 liter of milk and 1 liter of water ,
So the ratio of milk to water in the mixture will be 9:1 or [tex]\frac{9}{1}[/tex].
In the given question
Total members = 30
Number of Boys =14
Number of Girls = 30-14=16
The ratio of boys to girls =[tex]\frac{14}{16} =\frac{7}{8}[/tex] or 7:8 .
Therefore , the ratio of boys to girls in simplest form is 7:8.
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Which expression has a value of 8?
. 21 - 3 × 5
. (28 ÷ 4) + (10 × 2)
. (16 ÷ 4) + 3 × 2
. 4 × 5 - 6 × 2
Answer:
Hi, it's D.
Step-by-step explanation:
[tex]4\times \:5\\= 20\\6\times \:2\\= 12\\20-12\\= 8[/tex]
what number can u multiply 8 by to get 120 how can you use this number to solve part of the problem
Answer: 15
Step-by-step explanation:
n=number
8*n=120
n=120/8
n=15
Bryar gathered 10 eggs from the chickens. When he got to the house, he discovered all of the eggs were broken. Write an expression to represent this situation.
The expression when Bryar gathered 10 eggs from the chickens is 10 - x = 0.
How to calculate the expression?Let the eggs that are broken be represented by x.
Therefore, from the information, Bryar gathered 10 eggs from the chickens. When he got to the house, he discovered all of the eggs were broken.
Therefore, the expression will be:
10 - x = 0
This illustrates that there are zero left.
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f(x)=7/3x -9 for f(-3)
An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable. If f(x)=7/3x -9 then f(-3) is -88/9.
What is Function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
Given function is
f(x)=7/3x -9
where x=-3.
Subtract x=-3 in the above function.
f(-3)=7/3(-3) - 9
f(-3)=7/-9 - 9
f(-3)=-7/9-9
f(-3)=(-7-81)/9
f(-3)=-88/9
Therefore f(-3) is -88/9.
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Tola is moving into a rental house. The owner wants Tola to pay a
security deposit of $443 as well as the first and last month's rent. Tola's
monthly rent is $910. What will be Tola's total move-in costs for the
rental house?
Answer:
go ask ur maths teacher duh it will be more easy