Answer:
92
Step-by-step explanation:
1) 92-2=90
2) 90/3=30
(I hope this helps!)
When she started her job at Camille's Café, Kelly began adding money to her savings account each week. The amount of money in her account grew over time.
This situation can be modeled as a linear relationship.
The correct ans to the given graph is :
Kelly added $20 into saving each week.
How would you define a graph ?
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.
How is a line graphed?
Draw a horizontal axis and a vertical axis first before drawing a line graph. Because age is independent, it should be plotted on the horizontal axis. Plotting should be done using height on the vertical axis. Plot a point for each pair of values using the data that has been provided.
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what are the rule in long division
we have that
steps
Divide the tens column dividend by the divisor
Multiply the divisor by the quotient in the tens place column
Subtract the product from the divisor
Bring down the dividend in the ones column and repeat
therefore
divide, multiply, subtract, bring down and repeat or find the remainder
What is the slope of this line
The slope of the line that is shown in the diagram above is calculated as: 2.
What is the Slope of a Line?To find the slope of a line, m, use the formula given below:
Slope (m) = rise of the line/run of the line = change in y / change in x.Change in y = (y2 - y1)Change in x = (x2 - x1)Using two points on the given line, (0, 1) and (-1, -1), find the slope of the line:
Let,
(0, 1) = (x1, y1)
(-1, -1) = (x2, y2)
Slope (m) = change in y / change in x = (-1 - 1) / (-1 - 0)
Slope (m) = -2/-1
Slope (m) = 2
Therefore, the line that is shown in the diagram above has a slope that is determined as: 2.
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8
For what value of n is \n-1/+1 equal to 0?
A)
0
B)
1
C)
2
D) There is no such value of n.
Answer:
o is the correct answer of this question
Talisa says that she has 34 colored pencils in her art box. her friend jaime has 58 colored pencils in her box. about how many more colored pencils does jaime have than talisa ? use rounding to help you decide.
The colored pencils does jaime have more than talisa is 24
what is arithmetic operator?An arithmetic operator is a mathematical function that takes two operands and performs a calculation on them.
They are used in common arithmetic and most computer languages contain a set of such operators that can be used within equations to perform a number of types of sequential calculation. Basic arithmetic operators include:
:-Addition (+)
:-Subtraction (-)
:-Multiplication (×)
:-Division (÷)
so;
A.T.Q:-
The colored pencils does talisa have are 34
The colored pencils does jaime have are 58
∴ by using arithmetic operator Subtraction (-) , we conclude that how more colored pencils does jaime have than talisa
∵ jaime's colored pencils - talisa's colored pencils
⇒ 58- 34
⇒24
hence; jaime have 24 pencils more than talisa
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A floor 6.5m by 5m has a carpet 6m by 4.8m placed on it. What is the area of the carpet? What is the area of the uncovered part of the floor.
Length of floor = 5 m and breadth of floor = 4 m
Area of floor = length x breadth
= 5 m x 4 m = 20 m.sq
Now, Side of square carpet = 3 m
Area of square carpet = side x side = 3 x 3 = 9 m.sq
Area of floor that is not carpeted = 20 m – 9 m = 11 m.sq
Zoe has 4 cups of nuts. She uses 2/3
cup of nuts to make one brownie. How many brownies can be made with 4 cups of nuts?
Zoe consumes four cups of nuts. For one brownie, she uses two thirds of a cup of nuts. She can make 6 brownie's with 4 cups of nuts.
Given that,
Zoe consumes four cups of nuts. For one brownie, she uses two thirds of a cup of nuts.
We have to find four cups of nuts may be used to make how many brownies.
We have 4 cups of nuts.
With 2/3 cup of nuts she made a brownie.
Take brownie as x
1x=2/3
x=2/3
Then,
We can write as
2/3x=4
x=4/(2/3)
x=(4×3)/2
x=12/2
x=6
Therefore, She can make 6 brownie's with 4 cups of nuts.
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Amy has 672 shells. She is decorating picture frames with 16 shells each. How many frames is she able to decorate? (2 points)
46
42
44
48
Answer: 42
Step-by-step explanation: 672/16 is 42
- (-10+7y)+6y=9 Solve for Y.
After solving for y we get the answer as 1.
Given, the expression is -(-10+7y)+6y=9
first open the brackets by multiplying it with '-' sign.
-(-10+7y)+6y=9
⇒ 10-7y+6y = 9
subtract the variable y.
⇒ 10 -y = 9
arrange the constants to one side.
⇒ -y = 9 -10
subtract the constants.
⇒ -y = -1
cancel the '-' sign.
⇒ y = 1
Hence the value of y is 1.
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In some states, school
accounts for 49% or
180 days of a calendar year.
What percent do holidays
account for?
the percentage do holidays account for will be 50.7%
What are mathematics operations?
A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.
• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.
Given:
school accounts for holidays for a calendar year = 180 days or 49%
Now, the remaining days will be holidays that is :
365 - 180 = 185 days
Therefore, the percentage do holidays account for will be :
185/365 = 50.7%
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Determine the length of the line between C(-5, 6) and D(-2, 1)
Using the distance formula, the length of the line between the two given points is: 5.8 units.
How to Find the Length of a Line Between Two Points Using the Distance Formula?To find the length of the line between two endpoints, the distance formula that is used is:
d = [tex]\sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex].
Given the points:
C(-5, 6) = (x1, y1)
D(-2, 1) = (x2, y2)
Plug in the values
CD = √[(−2−(−5))² + (1−6)²]
CD = √[(3)² + (−5)²]
CD = √(9 + 25)
CD = √34
CD ≈ 5.8 units
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find the greatist common factor of 18 and 35
1
3
18
7
Answer:
GCF = 1
Step-by-step explanation:
factors of 18 = 1, 2, 3, 6, 9, 18
factors of 35 = 1, 5, 7, 35
the common factor to both is 1 only
then the GCF of 18 and 35 is 1
graph the segment find it'smidpoint then graph the midpointX(7,5) Y(-3,-5)
The midpoint, that is the middle point of any given line segment can be calculated if the endpoints have been made available.
The endpoints for the line segment is,
(7, 5) and (-3, -5) for points X and Y respectively.
The middle point can be found at this position;
(x1 + x2) / 2 and (y1 + y2) / 2
The points are shown as
(7, 5) = (x1, y1)
(-3, -5) = x2, y2)
Therefore we now have,
Midpoint = (7 + [-3])/2 and (5 + [-5])/2
Midpoint = (7-3)/2 and (0)/2
Midpoint = 4/2 and 0/2
Midpoint = (2, 0)
Find an equation for the perpendicular bisector of the line segment whose endpoints are (−9,−3) and (7,5).
The equation for the perpendicular bisector of the line segment will be;
⇒ y = -2x - 1
What is Equation of line?
The equation of line with slope m and y intercept at point b is given as;
y = mx + b
Given that;
The endpoints of the line segments are (−9,−3) and (7, 5).
Now,
Let the equation of line be;
y = mx + b
We can substitute values of two points for the value of m and b;
We get;
- 3 = - 9m + b ... (i)
5 = 7m + b ... (ii)
Solve both equation for m and b as;
Subtract (i) from (ii) we get;
8 = 16m
m = 1/2
And, 5 = 7 x 1/2 + b
b = 5 - 7/2
b = 3/2
So, The equation of line with two points is;
y = 1/2 x + 3/2
Since, Two lines which are perpendicular to each other have slope that are inverse to each other.
Hence, Slope of the perpendicular line is;
m₁ = - (2)
m₁ = -2
Hence, The equation of line will be;
y = -2x + b'
Where, b' is new y - intercept for perpendicular line.
Since, Perpendicular line bisect the first line, so we can find the midpoint of the line segment as;
Midpoint = (- 9 + 7 / 2 , - 3 + 5/2)
Midpoint = (-1, 1)
So, Midpoint of the line segment lie on the perpendicular line so we can substitute the value of midpoint to get the b' as;
y = - 2x + b'
1 = - 2 × -1 + b'
1 = 2 + b'
b'= 1 - 2
b' = -1
Thus, The equation of line for the perpendicular bisector of the line segment whose endpoints are (−9,−3) and (7,5) will be;
⇒ y = -2x - 1
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An arts academy requires there to be 5 teachers for every 80 students and for every 36 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 108 students ?
1. The number of students that the art academy has per teacher is 16.
2. The number of students that the art academy has per tutor is 9.
3. With 108 students, the art academy requires 12 tutors, given the student-to-tutor ratio of 9:1.
How are the numbers determined?In this situation, we can use the mathematical operation of division to state the ratio of students to either teachers or tutors.
The parts of the division operation include the dividend, the divisor, and the quotient, which is the result of applying the divisor to the dividend.
The number of teachers for 80 students = 5
1. The number of students per teacher = 16 students (80/5)
The number of tutors for 36 students = 4
2. The number of students per tutor = 9 students (36/4)
3. If the students are 108, the number of tutors = 12 tutors (108/9)
Thus, after determining the quotients, we can relate the number of students to teachers and tutors using ratios.
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Question Completion:An arts academy requires there to be 5 teachers for every 80 students and 4 tutors for every 36 students.
What kind of work does Panchito’s family do in the story The Circuit
A circuit in electronics is a complete circular channel via which electricity flows. A current source, conductors, and a load make up a straightforward circuit. In a broad sense, the word "circuit" can refer to any permanent path through which electricity, data, or a signal can pass.
Explain about the work done by the Panchito's family in the story of Circuit?Plucking crops as they move from field to field. Throughout California, Panchito and his family travelled to collect strawberries, cotton, grapes, and lettuce. a visitor who intends to settle permanently in a nation. From Mexico, Panchito and his family immigrated.
Young migrant labourer Panchito and his family make their living by working the seasonal agricultural harvesting circuit. The appearance of cardboard boxes, which contain all of the family's belongings, marks each move on the circuit. Panchito has the chance to go to school as the circuit takes the family to Fresno.
The members of Francisco's family gather various crops in each town they reside in as they migrate throughout the central coast of California.
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THE WILSONS ARE HAVING 14 CHILDREN AT A B-DAY PARTY. THEY HAVE HIRED RICKY TO BE A CLOWN AND ENTERTAIN THE CHILDREN FROM 2:30 TO 5:30. THEY WILL PAY HIM $4.25 FOR EACH CHILD. RICKY’S EXPENSES FOR BALLOONS & FACE PAINT ARE $10.89. HOW MUCH PROFIT (INCOME MINUS EXPENSES) WILL RICKY MAKE? SHOW YOUR WORK IN THE SOLUTION BOX AND CIRCLE YOUR FINAL ANSWER. PLACE IN THE BASKET WHEN FINISHED.
Answer:
Total Profit = $48.61
Step-by-step explanation:
Given:
Number of children = 14Pay per child = $4.25⇒ Total Income = Number of children × pay per child
⇒ Total Income = 14 × $4.25
⇒ Total Income = $59.50
Given:
Ricky's Expenses = $10.89⇒ Total Profit = Total Income less Total Expenses
⇒ Total Profit = $59.50 - $10.89
⇒ Total Profit = $48.61
The value of a photocopier t years after purchase is given by
V (t) = 9650 - 860t euros.
a) Find V(4): $
b) Find t when V (t) = 5780:
c) Find the original price of the photocopier. $
years
V(4) of the photocopier is $6,210
The value of t when V (t) = 5780 is 4.5 years
The original price of the photocopier is $9,650
What does V(4)?
V(4) means that the requirement in this case is to determine value of the photocopier after 4 years since t means the number of years since the photocopier was initially acquired, in other words, in order to determine the value of the photocopier after 4 years we simply substitute 4 for t in the value equation given as shown below:
V (t) = 9650 - 860t
t=4
V(4)=9650 - 860(4)
V(4)=9650-3440
V(4)=$6,210
When V(t)=5780,we can determine t by making t the subject of the formula
V (t) = 9650-860t
5780=9650-860t
860t=9650-5780
860t=3870
t=3870/860
t=4.5
The original price can be computed on the basis that the photocopier was bought when t=0, I mean in year zero, hence, attributing zero to t , we can determine the original price
V (t) = 9650-860(0)
V(0)=$9,650
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plss i have 5 mins to have this submitted
The exact volume of the sphere that has a radius of 7 inches, in terms of π , is: 1,372/3 π cubic inches.
What is a Sphere?A sphere is round in shape and can be described as a three dimensional solid shape that has a center that is equidistant from any point on its surface.
What is the Volume of a Sphere?Given that a sphere has a radius that is represented as r, the formula to find the volume of the sphere is:
Volume of sphere = (4/3) × π × r³
Given the parameters:
Radius of the sphere = 7 inches
Plug in the value
Volume of the sphere = (4/3) × π × (7³)
Volume of the sphere = (4/3) × π × 343
Volume of the sphere = 1,372/3 × π
Volume of the sphere = 1,372/3 π cubic inches.
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trey and his four friends equally share a 12 ounce jar of apple sauce. how much applesauce, in ounces, does each person receive?
A. 5/12
B. 2 2/5
C. 17
D. 60
Answer:
trey and his friends can share 2.4 oz of applesauce in a 12 oz jar
Step-by-step explanation:
12÷5=2.4
If trey and his four friends equally share a 12 ounce jar of apple sauce. The [tex]2\frac{2}{5}[/tex] applesauce, in ounces, does each person receive
What is Division?A division is a process of splitting a specific amount into equal parts.
Given,
trey and his four friends equally share a 12 ounce jar of apple sauce
We need to find how many ounces does each of them receives.
The number of persons including with trey are five.
We need to divide 12 ounce jar of apple sauce among five.
We just need to divide 12 by 5.
12/5
In mixed fraction we can write as [tex]2\frac{2}{5}[/tex]
Hence [tex]2\frac{2}{5}[/tex] ounces of apple juice , does each person receive.
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p) John wants to measure the height of a tree. He walks exactly 100 feet from the base of the tree and looks up. The angle from the ground to the top of the tree is 33°. How tall is the tree? (2 dp
The height of the tree which John wants to measure is equal to 64.94 feet.
What is trigonometry ?
Trigonometry is the branch of mathematics which examines the relationship between triangle sides and angles as well as the relevant functions of any angle.
It is given that John wants to measure the height of a tree. He walks 100 feet from the base of the tree and looks up. Say , point B is the base of triangle and C is the point up to which he has walk then , BC will be length of base.
i.e.,
Length of base (B) = 100 feet.
It is given that angle from ground to top of tree (say θ) is 33°
We know that tangent (tan θ) is ratio of height to the base of object. So,
tan θ = [tex]\frac{H}{B}[/tex]
tan 33° = [tex]\frac{H}{100}[/tex]
So , the height of tree will be :
H = 100 × tan 33°
H = 100 × 0.6494
H = 64.94 feet
Therefore , the height of the tree which John wants to measure is equal to 64.94 feet.
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Alan takes a taxi at the rate of $3 per mile. The taxi company charges an additional pickup fee of $5. How many miles, d, did Alan travel if the total fare was $29? Write the equation that represents the situation. 3 ✓d +5 = 29 ✓ Solve for the number of miles Alan traveled. They traveled miles.
Answer:
Alan travelled 8 miles in total
with the cut of money for pickup which is 5$and 3$ for every mile
as 3×8=24
and remaing 5 for picup
Step-by-step explanation:
hope this helps
The equation that represents the situation is, 3d +5 = n and if the fare is $29 then Alan traveled 8 miles.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
Alan takes a taxi at the rate of $3 per mile.
The taxi company charges an additional pickup fee of $5.
So,
the equation that represents the situation is,
3d +5 = n
To solve for the number of miles Alan traveled:
The fare was $29
3d +5 = 29
3d = 24
d = 8
Therefore, he traveled 8 miles.
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4x+4y=15 determine the missing coordination in the ordered pair (?,0) so that it will satisfy the missing equation
Answer:
3.75
Explanation:
Given the equation 4x+4y = 15, we are to find the x coordinate of equation
To do this we will find the x intercept of the equation.
when y = 0
4x+4y = 15
4x + 4(0) = 15
4x = 15
x = 15/4
x = 3.75
Hence the x coordinate of the equation is 3.75
need some help with this problem as well.
The following set indicate the score obtained by a sample of 20 respondents on a life satisfaction scale. 1 1 1 2 2 3 1 2 2 3 3 2 2 2 2 1 1 3 1 1 6 8 9 6 1 0 4 0 3 3 3 0 5 8 7 8 6 5 6 8 calculate mean and media calculate the variance calculate the variance ss, variance and standard deviation for the following population of n=8 scores scores : 0,0, 5, 0, 3, 0, 0, 4
Hence, the Standard deviation, sigma is 2, and Variance =4.
What is the sample size?
The number of subjects involved in a sample size is referred to as the sample size in market research. A set of people chosen from the general community who are thought to be a representative sample size for that particular study is referred to as the sample size.The square root of both the variance can be used to determine the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. The variance between each data point in relation to the mean is determined as the square root of variance.Given a sample of size 20.
N=20
(i) Mean= sum of terms/no. of terms
=456/20
Mean = 22.8
(ii) Median = Sum of middle numbers/2
20 and 21 are the middle numbers
= 20+21/2
Median =20.5
(iii) Variance=(xi-mean)^2/N-1
787.2/19
variance=41.431
(iv) Sum of squares=xi-xbar-Xi)^2
=32
(v) variance and standard deviation(population)
sigma^2=(xi-mu)^2/N
=32/8
sigma=2
Hence, the Standard deviation, sigma is 2, and Variance =4.
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due now!!!!!!!!!!!!!!!!!!
The Curtis family drove 145 miles on 5 gallons of gasoline. At this rate, how many miles would you expect the Curtis family to travel on 8 gallons of gasoline?
Answer:232 miles
Step-by-step explanation:
knowing that they travel 145 miles every 5 gallons I’d we divided 145 by 5 we get how many miles they would travel with 1 gallon which is 29 after that we are trying to find how many miles can we run with 8 gallons so we do 29 times 8 to get our answer of 232
write the equation of a line that passes through the point (4,-1/4) and has a slope of 0
Answer:
y = -1/4
Step-by-step explanation:
If the slope is o, that means that it is a horizontal line. The line passes though the point (4, -1/4) The horizontal line will have y as -1/4, no matter what x is.
Answer:
[tex]\sf y =\dfrac{-1}{4}[/tex]
Step-by-step explanation:
Equation of the line with slope 0 is y = c.
where c is the y-co-ordinate.
The line with slope 0 is a horizontal line that is parallel to x-axis.
[tex]\sf y =\dfrac{-1}{4}[/tex]
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|
Addition or subtraction with 10 or 100
What number is 10 less than 73?
00
X is confusing
MATHEMATICALLY 10 LESS THAN 73 MEANS:
WHAT IS THE DIFFERENCE BETWEEN 10 AND 73
[tex]73 - 10 \\ = 63[/tex]
ATTACHED IS THE SOLUTION
