Answer:
[tex]\frac{3}{4} < \frac{33}{40}[/tex]
Explanation:
[tex]\frac{3}{4}[/tex] (< = >) [tex]\frac{33}{40}[/tex]
To figure this out, you want both fractions to have the same denominator. So, you would find the GCF (Greatest Common Factor).
The GCF for 4 and 40 would be 40 because 4 * 10 = 40 and 40 * 1 = 40.
To make the whole fraction have the denominator 40, you have to multiply the numerator and the denominator by 10.
[tex]\frac{3}{4} = \frac{30}{40}[/tex]
So,
[tex]\frac{30}{40} < \frac{33}{40}[/tex]
or
[tex]\frac{3}{4} < \frac{33}{40}[/tex]
Erin is a dog groomer. She charges a $6.00 base fee plus an extra $0.50 per pound. If x represents the weight of the dog in pounds, which equation models her income for each dog groomed?
Income = 0.5 x + 6
Income = 5 x + 6
Income = 6 x + 0.5
Income = 6 x + 5
Answer:
the first equation
Step-by-step explanation:
The 6 is the same amount no matter the weight of the dog. .5x represents 50 for each pound.
If a dog weight 20 pounds, it would cost 6 + .5(20)
If a dog weight 30 points it would cost 6 + .5(30) and so on.
Which statement correctly compares the function shown on this graph with
the function y = 3x - 6?
7
6
6
4
1
5432/1 1 2 3 4 5
A. The function shown on the graph has a smaller rate of change, but
a higher starting point.
B. The function shown on the graph has the same rate of change, but
a higher starting point.
C. The function shown on the graph has the same rate of change, but
a lower starting point.
D. The function shown on the graph has a smaller rate of change and
a lower starting point.
The graphed function's rate of change is the same, however
a lesser base line.
What is meant by mathematical expression?A mathematical expression shows the value of something by combining numbers, variables, and operators. A mathematical statement known as an equation involves setting two expressions equal to one another.
Mathematical operations like addition, subtraction, multiplication, and division can be used to mix integers and numbers to create a numerical expression.
In the mathematics curriculum and in mathematics in general, algebraic expressions are crucial. Students must be proficient in computations and the manipulation of algebraic expressions in order to advance and do well in mathematics. They must also be able to understand and write expressions.
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A hula hoop has a circumference of 110 centimeters.What is the diameter of the hula hoop
A bread company makes two types of wheat bread, light whole wheat and regular
whole wheat. A loaf of light whole wheat bread requires 2 cups of flour and 1
egg. A loaf of regular whole wheat bread requires 3 cups of flour and 2 eggs. The
bakery has 90 cups of flour and 80 eggs on hand. The profit on the light bread is
$1 per loaf and on the regular bread is $1.50 per loaf. In order to maximize
profits, how many of each loaf should the bakery make?
By the equations, he should make 70 whole wheat bread that would earn a profit of $105 that is maximum he can earn with the given amount of flour and egg.
What is system of equation?simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution. A group of two or more equations that share the same variables is known as a system of equations. A set of values for a variable that simultaneously satisfy each equation is the solution to a system of equations. When there are multiple unknowns and there is sufficient data to set up equations in those unknowns, systems of equations are used to solve applications. In general, we need sufficient information to construct equations in the n unknowns.
Here,
Let x be light whole wheat and y be the regular whole wheat.
given,
A loaf of light whole wheat bread requires 2 cups of flour and 1 egg.
A loaf of regular whole wheat bread requires 3 cups of flour and 2 eggs.
The bakery has 90 cups of flour and 80 eggs on hand.
So the system of equation will be,
2x+3y=90
x+2y=80
multiply the second equation by 2,
2x+4y=160
2x+3y=90
subtract the equations,
y=70
by this,
x=-60
So by this he should make 70 whole wheat bread that will make him earn a profit of,
=70*1.5
=$105
According to the calculations, he should produce 70 loaves of whole wheat bread for a profit of $105; this is the most he can make with the supplied quantities of flour and egg.
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Q6. A gas station offers two promotional reusable fountain drink cups over the
summer. The Silver Cup costs $10 and can be refilled all summer for $0.25
each refill. The Gold Cup costs $25 and comes with unlimited refills all summer.
Which inequality can be solved to find x, the number of refills needed to make
the Gold Cup a better value than the Silver Cup?
Answer:
10 + 0.25x < 25Less than 60 refills makes the Gold Cup a better valueStep-by-step explanation:
Let the number of refills be x.
Then the Silver Cup will cost:
10 + 0.25xThe cost of the Gold Cup is $25.
If we need the Gold Cup a better value, then required inequality is:
10 + 0.25x < 25Solve it for x:
0.25x < 25 - 100.25x < 15x < 15/0.25x < 60Answer:
Inequality = 10 + 0.25x < 25
The value of x = x < 60
Step-by-step explanation:
Now we have to,
→ find inequality used to solve for x.
Then the inequality will be,
→ $10 + 0.25x < $25
→ 10 + 0.25x < 25
Required value of x will be,
→ 10 + 0.25x < 25
→ 0.25x < 25 - 10
→ x < 15/0.25
→ [ x < 60 ]
Hence, the value of x < 60.
each roll of black ribbon has 3 2/3ths yards of ribbon if amanda has 4 1/2th rolls of black robbin how many yards does amanda have
Amanda have roll of black ribbon [tex]= 3_3^2th[/tex]
If Amanda has rolls of black ribbon [tex]= 4_2^1th[/tex]
total rolls of black ribbon amanda have [tex]= 3_3^2th+4_2^1th[/tex][tex]= 8_6^1 th[/tex]
What is Fraction?
A fraction is a piece of the entire. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction. A correct fraction has a numerator that is lower than its denominator.
What is mixed fraction?
A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.
Consider the expression;
[tex]= 3_3^2th+4_2^1th[/tex]
Rewriting our equation with parts separated
[tex]= 3+\frac{2}{3}+4+\frac{1}{2}[/tex]
Solving the whole number parts
3 + 4 = 7
Find the LCD of 2/3 and 1/2 and rewrite to solve with the equivalent fractions.
LCD = 6
[tex]\frac{4}{6}+\frac{3}{6} = \frac{7}{6}[/tex]
Combining the whole and fractional parts
[tex]7+1+\frac{1}{6} = 8_6^1[/tex]
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How to do x+5x-7(2+x)=7?
Answer:
x=-21
Step-by-step explanation:
x+5x-7(2+x)=7 so 6x-14-7x=7
-x=21 so x=-21
18.9x{2x2.7}-4.6} - to the second power
The equivalent value to the expression 18.9 x [(2 x 2.7) - 4.6] - 2² is given by the following option:
C. 11.12.
How to obtain the equivalent value to the expression?The equivalent value to an expression is given by the solution to the expression.
The expression in this problem is given as follows:
18.9 x [(2 x 2.7) - 4.6] - 2²
The brackets take precedence, hence the first operation to be solved is of:
(2 x 2.7) - 4.6
The parenthesis take precedence relative to the subtraction, hence:
(2 x 2.7) - 4.6 = 5.4 - 4.6 = 0.8.
Then the expression is given by:
18.9 x [(2 x 2.7) - 4.6] - 2² = 18.9 x 0.8 - 2².
The square takes precedence, hence:
18.9 x 0.8 - 4.
Then the multiplication takes precedence, which means that the equivalent result is of:
18.9 x 0.8 - 4 = 15.12 - 4 = 11.12.
Given by option C.
Missing InformationThe problem is given by the image shown at the end of the answer.
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Does the equation A=2w represent a proportional relationship?
Answer:
yes
Step-by-step explanation:
as A increases w increases
The figure below was made with a scale of 1 unit = 3 ft.
Draw the figure with a new scale of 1 unit = 6 ft.
You can place your figure anywhere on the grid on the right
The second side will therefore be 12 feet long if one side is 6 feet long. We just need to calculate two sides because each comparable side is equal.
Define scaling.A linear transformation known as uniform scaling in affine geometry enlarges or reduces objects in all directions by the same scale factor. The final product of uniform scaling resembles the initial. Normal practize allows for a scale factor of 1, which allows for the classification of congruent shapes as similar.
Given,
The process for scaling a rectangle is as follows:
Let's say one of the sides is two units long, and you count the number of units on that side.
1 unit = 6 feet.
12 feet = 2 units
We only need to double the rectangle's size to rescale. The second side will therefore be 12 feet long if one side is 6 feet long. You just need to calculate two sides because each comparable side is equal.
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what is result of evaluating the following expression? (45 / 6) % 5 group of answer choices 2.5 3 7 2
The result of the given expression is 2.5.
We are given a mathematical expression. Let the expression be denoted by the variable "E". The expression is given below.
E = (45 / 6) % 5
We need to simplify the expression and find its value. First of all, we will solve the brackets.
E = (7.5) % 5
Now we will solve the modulus operator. The modulus operator "%" gives us the remainder after the division of the two numbers. After dividing one number by another, the modulo operation yields the remainder, or signed remainder, of the division.
E = 2.5
Hence, the value of the expression is 2.5.
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2 step equations
3y+4=22
Answer:
3y+4=22
3y+4-4=22-4
3y=18
(3y)/3=18/3
y=6
Step-by-step explanation:
pls mark brainliest
the sum of three numbers is 2020. the first is four times the sum of the other two. the second is seven times the third. what is the product of all three?
28 is the product of all three numbers .
What are the algebraic expressions ?An algebraic expression is the idea of using letters or alphabets to represent numbers without specifying the actual values. In Algebra Basics, we learned how to use letters such as x, y, and z to represent unknown values. These characters are called variables here. An algebraic expression can be a combination of variables and constants. The multiplied value before the variable is the coefficient.
Calculation3rd = x
2 nd = 7x
1 st = 4(x + 7x ) = 32x.
x + 7x + 32x = 20
x = 1/2.
we are looking for product = x*7x*32x = 1/2 * 7 * 1/2 * 32*1/2 = 1/2 * 1/2 * 1/2 * 32 * 7 = 28.
28 is the product of all three numbers
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Complete the frequency distribution table.
Score: 6, 9, 7, 8, 5, 9, 8, 7, 8, 7, 6, 9, 5, 8, 7, 6, 10, 10
According to the given frequency distribution table the values are as follows:
Frequency of 6 is 3
Frequency of 7 is 4
Frequency of 8 is 4
Frequency of 9 is 3
Frequency of 10 is 2
What is statistics?Statistics is the field concerned with collecting, organizing, analyzing, interpreting and presenting data to draw conclusions by analyzing it.
In Mathematics, statistics is the branch which is concerned with collecting, analyzing, interpreting, and presenting large amounts of numerical or quantitative data.
What does frequency mean in Statistics?It is the number of times a data or figure occurs in a set of given or collected data.
Which frequency distribution does the table have?In order to make the provided data more meaningful and understandable, it can be organized using a frequency distribution table. There are two or three columns in a frequency distribution table. All of the results are represented as individual values or as class intervals in the first column.
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Which of the following statements explains how you should round 213.709?
A.
Since the digit in the hundreds place is less than 5, keep the digit in the hundredths place. Then drop the digits on the right.
B.
Since the digit in the hundredths place is less than 5, keep the digit in the tenths place. Then drop the digit in the hundredths and thousandths places.
C.
Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.
D.
Since the digit in the hundredths place is less than 5, leave the digit in the hundredths place and drop all the numbers on the right.
Option C is correct. Since the digit in the thousands place is 5 or greater than 5.
Given that in option C:
Since the digit in the thousandth place is greater than or equal to 5, increase the digit in the hundredth place by 1. Then drop the digit in the thousandth place.
Also, 213.709 is given in the question in which we have to round off these digits.
The digit which is just after the decimal is called tenths and just after that is hundredths and just after that is called thousandths.
Seeing the value in option C is correct as it tells the value of thousandths is greater than or equal to 5 is correct as 9 is in thousandths place and is greater than 5.
Increasing the value in the hundredth which is zero to one and dropping the digit in the thousandth place is correct as it makes the value 213.71.
All the other options don't satisfy the round of the value 213.709.
Hence, 213.71 can be rounded as per the statement written in option C.
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Can anyone help me This is for math
The value of x is 1.94 units approximately.
Since the triangle is equilateral and each side is [tex]\sqrt{10}[/tex].
we know that, in equilateral triangle base is bisected by the perpendicular drawn from the opposite vertex.
So here for one small triangle by Pythagoras theorem,
[tex]x^2+(\frac{\sqrt{10}}{2})^2=(\sqrt{10})^2\\x^2+\frac{10}{4}=10\\x^2=10-\frac{10}{4}=\frac{30}{4}=\frac{15}{2}\\x=\frac{\sqrt{15}}{2}\approx1.94[/tex]
Hence the value of x is 1.94 units approximately.
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An airplane
30,000 feet above the
ground begins descending at a rate of
2,000 feet per minute. Write an
equation to model the situation. Find
the altitude of the plane after 5
minutes.
An equation to model the situation: h = 30000 - 2000t
the altitude of the plane after 5 minutes is 20000 feet
In this question, an airplane 30,000 feet above the ground.
It begins descending at a rate of 2,000 feet per minute.
We need to write an equation to model the situation. Also, we need to find
the altitude of the plane after 5 minutes.
Let h be the altitude of plane after t hours.
So, we get an equation,
h = 30000 - 2000t
For t = 5 minutes,
h = 30000 - 2000(5)
h = 30000 - 10000
h = 20000 feet
Therefore, an equation to model the situation: h = 30000 - 2000t
the altitude of the plane after 5 minutes is 20000 feet
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please help thank you
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The values of the function are 1/9, 1/3, 1, 3 and 9.
What is a function?A function is defined as a relation between a set of inputs having one output each.
Given a function, f(x) = [tex]3^{x}[/tex]
When x = -2
y = [tex]3^{-2}[/tex] = 1/3² = 1/9
When x = -1
y = [tex]3^{-1}[/tex]
y = 1/3
When x = 0
y = [tex]3^{0}[/tex]
y = 1
When x = 1
y = 3
When x = 2
y = 3² = 9
Hence, The values of the function are 1/9, 1/3, 1, 3 and 9.
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You can choose a prize of either a $25,000 car or one penny on
the first day, triple that (3 cents) on the second day, and so on for a month. On what
day would you receive more than the value of the car?
If you can choose a prize of either a $25,000 car or one penny on the first day. The number of days you receive more than the value of the car is 15 days.
How to find the number of days?Let x represent the number of days
Convert $25,000 to cents by multiplying it by 100
$25,000 × 100 = 2,500,000 cents
Hence:
3^x-1 > 2,500,000
(x-1) log3/log 3 > log 2500000/log 3
x-1 > 13.409
x = 13.409+1
x =14.409
x = 15 days (Approximately)
Therefore the number of days is 15.
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Which reason should you use to prove the following triangles are congruent?
A. SAS
B. AAS
C. Not enough information (Not Congruent)
D. ASA
E. HL
Answer:
A A S
Step-by-step explanation:
Angle - Angle- side: they have two consecutive equal angles and a non-included side that is equal
Can u help me with this problem?
Answer:
No because the determinant of A is 0 .
Step-by-step explanation:
A starts the a -85 so n32 -24 = A- because 540i.7 is a so 0 so a is 0
Primo car rental agency charges $25 per day plus $0.30 per mile. Ultimo car rental agency charges $30 per day plus $0.95 per mile. Find the daily mileage for which the Ultimo charge is three times the Primo charge.
The mileage is
Answer:
[tex]28\frac{4}{7}[/tex] miles
Step-by-step explanation:
mileage = m
Primo: cost = 0.3m + 20
Ultimo: cost = 0.95m + 30
Ultimo = twice Primo
0.95m + 30 = 0.6m + 40
subtract 0.60m and 30 from each side and simplify to get
0.35m = 10
divide by 0.35 into both sides to get
m = [tex]28\frac{4}{7}[/tex]
therefore, the daily mileage would be [tex]28\frac{4}{7}[/tex] miles
Two angles in triangle PQR are congruent, ∠P and ∠Q; ∠R measures 26.35°. What is the measure of ∠P?
127.3°
153.65°
26.35°
76.825°
50 POINTS
The measure of angle P as well as angle Q is 76.825. Hence, option D is correct.
What is an angle?When two lines converge at a point, they produce an angle. The word "angle" refers to the length of the "gap" between these two rays. The symbol is used to denote it.
Radians, a unit of roundness or rotation, and degrees are the 2 most common units used to measure angles. In daily life, angles are present.
As per the given data from the question,
Angle P and Q are congruent and,
Angle, ∠R = 26.35°
Suppose ∠P = a
The sum of all the three angles of a triangle is 180°.
x + x + 26.35° = 180°
2x = 180° - 26.35°
x = 76.825°.
Therefore, ∠P will be equal to 76.825°.
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A square has an area of 36 squares centimetres what is the perimeter of the square
Answer:
24 centimeters
Step-by-step explanation:
we find a side by finding the square root of the area
Square root of 36 is 6
Now we find the perimeter by multiplying 6 by 4
6x4=24
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Fatima has a total of $12 to spend to make some fruit smoothies. She will use mango and strawberries. Strawberries cost $4 per pound and mango costs $2 per pound. Let x = the number of pounds of strawberries and y = the number of pounds of mango.
A) Write a linear equation in standard form that could model how many cups of fruit she can buy: __x+__=__
B) What is the greatest number of pounds of strawberries can she buy if she doesn't buy any mango? ____ pounds
C) What is the greatest number of pounds of mangoes can she buy if she doesn't buy any strawberries? ____ pounds
D) If Fatima buys 2.5 pounds of strawberries, how many pounds of mangoes can she buy? ____ pounds
Help fill in the spaces.
Answer:
B 2020 on edge
Step-by-step explanation:
A sign company is building a sign with the dimensions shown. What is the area, in square feet, of the sign.
A.) 65ft^2
B.) 60ft^2
C.) 130ft^2
The area of the triangle will be 60ft².
What is are of triangle?
The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.
Now using the Pythagoras theorem we can find out the length of the other wall
b²+p²=h²
So here h=13ft and b=5ft
p²= h²-b²
= 13²-5²
=169-25
p = √144 = 12ft
So the area of the trinagle is = 1/2*b*p
1/2(10*12)= 60ft²
Hence the area of the triangle will be 60ft².
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Hello, please help me answer asap! :) i really need it!!..
Answer: -2.00
Step-by-step explanation:
The parent function for linear functions is y=mx +b.
First, find the slope using the slope formula (y2-y1)/(x2-x1)
(30-10)/(8-3) = 20/5 = 4
Now, plug in known values to solve for "b", which is the y-intercept:
10 = 4(3) + b
10 = 12 + b
10 - 12 = b
-2 = b
A family wants to build a pen for their new puppy. They
want the area of the pen to be more than 225 square feet.
If the width of the pen is 25 feet, what is the set of possi-
ble lengths for the pen?
The value of length of pen should always be greater than 5 feet.
Rectangle:
Rectangle is a special kind of parallelogram in which opposite sides are equal and adjacent sides are perpendicular to each other.It contains of length and breadth,The area of rectangle is given by,
Area = length x breadth
Now as per question,
A family wants to build a pen for their new puppy.
They want's the area of the pen to be more than 225 square feet.
width of the pen is = 25 feet
let,
The length of the pen is [tex]x[/tex] feet.
Area of pen = length * width
= [tex]x[/tex] * 25
= 25x
According to the question,
Area of pen > 225 square feet
25x > 225
x >225/25
x > 5 feet
Thus,
The value of length should always be greater than 5 feet.
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2x + 7 < -11 or -3x - 2 < 13
The value of x is in the range (-∝,-9)∪(-5,∝)
Given inequalities :
2x + 7 < -11 or -3x -2 < 13
⇒ 2x < -11 -7 or -3x < 13+2
⇒ 2x < -18 or -3x < 15
⇒ x < -9 or -x < 5
⇒ x < -9 or x > -5
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