Examples of the given theorem are [tex]\frac{2}{4} \ \& \ \frac{3}{6}[/tex] , [tex]\frac{4}{16} \ \& \ \frac{8}{32}[/tex] and so on .
Equivalent fractions can be defined as fractions that have different numerators and denominators but represent the same value. Two or more fractions are said to be equivalent if they simplify to the same fraction. Equivalent fractions are fractions that have the same value regardless of the numerator and denominator.For example, the equivalent fractions of 1/5 are 5/25, 6/30, and 4/20, which on simplification, result in the same fraction, that is, 1/5.According to the theorem .
if two ratios are equivalent, then their values are the same .
Let one ratio be [tex]\frac{2}{4}[/tex] and other be [tex]\frac{3}{6}[/tex] .
On simplifying and equating these ratios , we get
[tex]\frac{2}{4} =\frac{3}{6} \\\\\frac{1}{2} =\frac{1}{2}[/tex]
As the ration is same hence [tex]\frac{2}{4} \ \& \ \frac{3}{6}[/tex] are equivalent fractions .
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Sarah goes to the grocery store and buys
four packs of gum. Sales tax in
Connecticut is 6.35%. If g is the price of a
single pack of gum, write a function p(g)
to model the scenario.
Based on the fact that sales tax in Connecticut is 6.35%, the price of a single pack of gum can be shown by the function, p(g) = 4g + 0.254g
What is the function?The price of a single pack of gum is g and Sarah bought 4 packets.
The total cost of her purchase is:
= (4 x price of single pack) x ( 1 + Sales tax rate)
When expressed in terms of g, the function is:
= 4g x (1 + 6.35%)
p(g) = 4g + 0.254g
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(-6.8)(-0.06) Multiply
Answer:
0.408
Step-by-step explanation:
Convert -6.8 and -0.06 to 34/5 and 3/50(The math explains why)
[tex]0 - 68/10 \times 0 - 3/50\\0 - 34/5 \times (-3)/50\\= 51/125\\= 0.408[/tex]
Answer: 0.408
Step-by-step explanation:
vanna bought 4 CDs that were each the same price. Including sales tax, she paid a total of $57.20 Each CD had a tax of $0.80 What was the price of each CD before tax?
Answer:
multiply 57.20×4
Step-by-step explanation:
57.20×4once done you will get 228.20
6. Max earns television time by completing chores at home. For every 4 chores he completes, he earns 30 minutes of
television time. If Max wants to watch a movie that is 120 minutes long, how many chores does he need to complete
to earn enough television time? Show or explain your reasoning.
7. In science class, students create walking robots. Brian's robot can walk 12 feet in 4 minutes. Isabelle's robot can
walk 20 feet in 8 minutes.
Do the two robots walk at the same speed? If not, whose robot walks faster? Explain or show your reasoning
Answer:
Step-by-step explanation:
Im pretty sure u know this... but i'll do it anyway to get points.
6. 4 chores = 30 minutes of television time
He needs 120 minutes of television time
So he will need to multiply both sides by 4 to get the amount of chores he needs to do to watch the movie.
Therefore, he does 16 chores( 4 x 4 ) to earn enough television time.
7. Make the amount of minutes the same to see how the speed they walk at.
If we convert Isabelle's robot' s speed to feet in 4 minutes, we can just compare both robots normally.
20/2= 10 feet in 4 minutes(Isabelle's robot) < 12 feet in 4 minutes(Brian's robot)
Therefore, Brians robot walks faster.
a ball is thrown with an initial height of 4 feet with an initial velocity of 36 ft/s. h= 4 + 36t - 16t^2 find the values of t for which the rockets height is 25 meters
The value of t for which the rockets height is 25 meters is 40.7 seconds
How to calculate the time?From the information, the ball is thrown with an initial height of 4 feet with an initial velocity of 36 ft/s. h= 4 + 36t - 16t².
Therefore, the values of t for which the rockets height is 25 meters will be:
h= 4 + 36t - 16t².
where h = 25
25 = 4 + 36t - 16t².
Collect like terms
25 - 4 - 36t + 16t² = 0
16t² - 36t -21 = 0
Using almighty formula
t = 40.7 seconds.
Therefore, the value of t for which the rockets height is 25 meters is 40.7 seconds
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what is the gcf of 28+35 in distributive property
Answer:
Step-by-step explanation:
dude its just 28+35=61
Cheryl sees a shirt she wants to buy that cost $32.00.Sales tax is 8%. She used the expression 1.08p to calculate the total cost of the shirt with taxes using p as the price of the shirt before taxes.What its the final price Cheryl will pay for the shirt including taxes?
The final price Cheryl will pay for the shirt, using the mathematical expression that includes the sales tax, is $34.56.
What is a mathematical expression?A mathematical expression is a mathematical statement with two different numbers (known or unknown) and at least one mathematical operation.
The basic mathematical operations include addition, subtraction, division, and multiplication.
For, instance, the total cost of a T-shirt after factoring in the sales tax of 8% can be represented with this mathematical expression, T= 1.08p.
Data and Calculations:Cost of a shirt, p = $32
Sales tax = 8%
The mathematical expression of the total cost = 1.08p
The total cost = $34.56 ($32 x 1.08)
Thus, the final price Cheryl will pay for the shirt is $34.56.
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The width of a rectangle measures (2.4d - 7.6f) centimeters, and its length
measures (7.2d-4.9f) centimeters. Which expression represents the perimeter, in
centimeters, of the rectangle?
the expression that represents the perimeter of the rectangle is 19d-5.4f.
What is periemeter?Perimeter can be defined as the total distance around an object.
To calculate the expression representing perimeter of the rectangle, we use the formula below.
Formula:
P = 2(l+w).............. Equation 1Where:
P = Perimter of the rectanglel = Length of the rectanglew = width of the rectangleFrom the question,
Given:
l = (2.4d-7.6f) cmw = (7.2d-4.9d) cmSubstitute these values into equation 1
P = 2[(2.4d-7.6f)+(7.2d-4.9f)]P = (4.8d-15.2f)+(14.2d-9.8f)P = 19d-5.4fHence, the expression that represents the perimeter of the rectangle is 19d-5.4f.
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Why might Randy put a pile of books under his feet when he's sitting and typing for a long period of time?
Question 4 options:
to keep his chair from rolling away
to make sure the books he needs are nearby
to make sure he's at least 20 inches from his monitor
to keep his feet from dangling
(Please help, I'll brainliest as soon as I can! =D)
Answer:
the answer is to make sure he is at least twenty inches from his monitor.
Step-by-step explanation:
In the 2017 LPGA season, golfer Lexi Thompson had a driving accuracy of 68%. That is, her drives landed in the fairway on 68% of her tee shots. However, in the U. S. Open tournament, she hit the fairway on only 34 of her 56 attempts. Does this PERFORMANCE provide convincing evidence that Thompson's ABILITY to hit the fairway decreased in this tournament? The video below works this problem out. (a) Assuming that Thompson's Ability to hit the fairway during the season was 68%, state the appropriate null and alternative hypotheses. (b) Explain what it means if the null hypothesis is true. (c) Describe the evidence for the alternative hypothesis. (d) Provide two explanations for this evidence.
Using the z-distribution, it is found that:
a) The null hypothesis is [tex]H_0: p \geq 0.68[/tex] and the alternative hypothesis is [tex]H_1: p < 0.68[/tex].
b) A true null hypothesis would mean that there is not enough evidence that her ability has decreased.
c) There is not enough evidence for the alternative hypothesis.
d) This is because the test statistic is less than the critical value, and the p-value is greater than 0.05.
What are the hypothesis tested?At the null hypothesis, it is tested if there is not enough evidence that her ability has decreased, that is, the proportion is still of at least 68%, hence:
[tex]H_0: p \geq 0.68[/tex]
At the alternative hypothesis, it is tested if there is enough evidence that her ability has decreased, that is, the proportion is less than 68%, hence:
[tex]H_1: p < 0.68[/tex]
Hence:
A true null hypothesis would mean that there is not enough evidence that her ability has decreased.
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.For this problem, considering the situation described, the parameters are given as follows:
[tex]p = 0.68, n = 56, \overline{p} = \frac{34}{56} = 0.6071[/tex]
Hence the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.6071 - 0.68}{\sqrt{\frac{0.68(0.32)}{56}}}[/tex]
z = -1.17.
What is the critical value and what it the conclusion?Considering a left-tailed test, as we are testing if the proportion is less than a value, the critical value is given by:
z* = -1.645.
The test statistic is less than the critical value, meaning that the p-value is greater than the standard significance level of 0.05 and there is not enough evidence for the alternative hypothesis.
Hence:
c) There is not enough evidence for the alternative hypothesis.
d) This is because the test statistic is less than the critical value, and the p-value is greater than 0.05.
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Simplify each expression. Match the correct value with each expression. Values may be duplicated
2 + 32
18 – 17 + 1
24 ÷ 4 × 3
21 – 5 × 2
The values of the expression are 34, 2,18 and 11 respectively
Simplifying equations and expression using PEDMASThe meaning of the expression PEMDAS is as shown below;
P is the parenthesis
E is the expoenent
M is the multiplication
D is the division
A is the addition
S is the subtraction
Simplifying the given expression
2 + 32
18 – 17 + 1
24 ÷ 4 × 3
21 – 5 × 2
2 + 32 =2 + (30 + 2)
2 + 32 = 2 + 30 + 2
2 + 32 = 34
For the expression 18 - 17 + 1
18 - 17 + 1 = 1 + 1
18 - 17 + 1 = 2
For the expression 24 ÷ 4 × 3 (Division first then multiplication)
24 ÷ 4 × 3 = (24 ÷ 4) × 3
24 ÷ 4 × 3 = 6 × 3
24 ÷ 4 × 3 = 18
For the expression 21 – 5 × 2
21 – (5 × 2)= 21 - 10
21 – 5 × 2 = 11
Hence the values of the expression are 34, 2,18 and 11 respectively
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Write the equation of the line that passes through (5, −2) and is perpendicular to y equals 5 thirds times x minus 3 period y equals negative 3 fifths times x plus 1 y equals negative 3 fifths times x plus 19 fifths y equals 3 fifths times x minus 5 y equals 5 thirds times x minus 31 thirds
The equation of the line is: y = -3/5x + 1.
How to Write the Equation of a Line?The slope (m) of two lines that lie perpendicular to each other are negative reciprocals.
Given, y = 5/3x - 3, the slope (m) of the line is 5/3. The negative reciprocal of 5/3 is -3/5.
Thus, the line that is perpendicular to it will have a slope (m) of -3/5.
Substitute m = -3/5 and (a, b) = (5, -2) into y - b = m(x - a):
y - (-2) = -3/5(x - 5)
y + 2 = -3/5x + 3
y + 2 - 2 = -3/5x + 3 - 2
y = -3/5x + 1
Thus, the equation of the line is: y = -3/5x + 1.
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Answer: A a aa a a a a a
Step-by-step explanation:
Easy significant digits question
The number of significant figures in the number 6.4×10³ are two which is '6 and 4'.
Significant figures notation is the method of determining the numbers in any representation which are necessary and holds some specific value. All the numbers which do not hold any specific value or position are not considered as significant figures. There are certain rules to determine the significant figures. These rules are that all non-zero numbers are significant, zeroes between two non-zero number are considered significant, zeroes before non-zero number are not significant.
In the question the number 6.4×10³ has only two significant digits which is '6 and 4' and the number 10 and 4 will not be counted as significant digits.
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simplify 4 (7 - 3) + 11
A- 42
B- 14
C- 36
D- 27
Answer:
D-27
Step-by-step explanation:
4(7-3)+11
=28-12+11
=28+11-12
=28-1
=27
pls rate as brainliest
Answer:
D 27
Step-by-step explanation:
To simplify 4 (7 - 3) + 11 we have to know the order of operations PEMDAS that has the meaning Parenthesis Exponents Multiplication Division Addition Subtraction.
Apply PAMDAS to our problem 4 (7 - 3) + 11
1. Parenthesis →solve what is in parenthesis 7-3= 4
4 (7 - 3) + 11 =
4 · 4 +11
2. Multiplication and Division →solve the multiplication 4·4 =16
4 · 4 +11 =
16 +11
3. Addition and Subtraction →add 16+11 = 27
16 +11 =
27
Linear functions model situations that are continually increasing or continually decreasing. Quadratic functions model situations that increase and then decrease, or vice versa.
Polynomial functions can model situations that change directions multiple times. What is a situation in which a polynomial model might make sense, and why?
A situation that can be modeled by a polynomial function is: Velocity of a Formula 1 car during a lap.
When should polynomial functions should be used?Polynomial functions should be used to model situations that change directions multiple times, between increase and decrease.
One possible example is the velocity of the Formula 1 car during a lap, as follows:
Initially, the velocity increases during the start-finish straight.On the approximation to first turn, the velocity decreases as the car breaks.Coming out of the turn, the velocity increases again.At the next breaking point, the velocity decreases.This behavior keeps happening until the end of the lap.
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There is a bell at the top of the tower that is 50m high.The bell weight 180N. The has ___ energy
(Can u pls use GRESA?)
There is 9,000 Joule energy present in the bulb
Gravitational Potential Energy
The energy that an object store due to its height in a gravitational field is known as gravitational potential energy.
It can be calculated by using the equation below
U=m.g.h
Where:
m = mass of the object
h = height
g = acceleration due to gravity, or
Since the weight of an object of mass m can be calculated as:
W = m.g
The gravitational potential energy is:
U = W.h
The bell of weight W=180 N at the top of a tower is h=50 m high. Thus its energy is:
U = 180 N * 50 m
U = 9000 Joule
Hence, The bell has 9,000 Joule energy.
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(x-9)^2+(y+1)^2=15 but translated left 2, up 7
Answer:
if i got locked away , i will always remember , animals , flower , human
Step-by-step explanat
ion:
Answer:
Step-by-step explanation:
8.
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.
The measure of the central angle m∠UQR is 130 degrees.
How to find central angles?Central angle is the angle formed by two arms and having the vertex at the centre of a circle.
The diameter of a circle runs from the centre of a circle.
The diameter SU and RT intersect each other at point Q.
Therefore,
m∠UQT = m∠RQS (Vertically opposite angles)
m∠UQR = m∠TQS (Vertically opposite angles)
Hence,
m∠RQS = 50°
Therefore,
m∠UQR = 360 - 50 + 50 / 2
m∠UQR = 360 - 100 / 2
m∠UQR = 260 / 2
m∠UQR = 130°
Therefore, the measure of the central angle m∠UQR is 130 degrees.
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My answer is correct or no help me please
Answer:
Yes, you are correct.
We are told that he stops 5 times in total after walking equal distances per stop, meaning he split the total distance he had to walk into 5 parts.
The length of the distance between one stop to another would be equal to [tex]\frac{2250}{5}[/tex].
Suppose you would like to make pancakes according to the given recipe:
Blueberry Pancakes Recipe, makes 6 servings
2 cups flour
2 tablespoons baking powder
1 teaspoon salt
2 eggs
1 1/2 cups milk
1 1/4 cups blueberries
Convert the amount of each ingredient of the recipe to make 15 servings. Round any decimal answers to two places.
Hint: You may want to make use of the conversion factor 15/6.
Answer:
4 1/2 cups of flour
4 1/2 tablespoons baking powder
4 1/2 teaspoon salt
4 1/2 eggs
5 cups of milk
5 cups of blueberries
Step-by-step explanation:
2(x−2)+5x the simplified answer, need help rn, WILL BRAINLIEST
7x-4
Step-by-step explanation:
2x-4+5x
add
7x-4
Is the digit in hundreds place 1/10 the value of the digit in the thousands place 5568
The statement that the digit in hundreds place is 1/10 the value of the digit in the thousands place 5568 is correct.
What is place value?
Place value is defined as the value that is represented by a digit in a number based on of its position in the number.
It is known as the exact value of each digit in a number.
It is also known as the position of digits in a given number set.
Example;
The place value of 5 in 50 is tens
The place value of 2 in 200 is hundreds
The place value of 0 in 50 is unit
From the information given, we have;
5568
Place value of 5 in hundreds is 500Place value of 5 in thousands is 5000Now, let's take the ratio
= 500/ 5000
= 1/ 10
Thus, the statement that the digit in hundreds place is 1/10 the value of the digit in the thousands place 5568 is correct.
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Which is
the features of function g if g(x)=log(x+ 2)
For the function g(x) we have:
Domain: x > -2Range: set of all real numbers.y-intercept = 0.3Which are the features of the given function?There are multiple features we can find, in this case, the most important ones are:
Domain.
Y-intercept.
Range.
First let's find the domain.
We know that logarithmic functions can be only evaluated in arguments larger than zero, so:
x + 2 > 0
x > -2
The domain is the set of all real numbers larger than -2.
Now the range is trivial, for all logarithmic functions the range is the set of all real numbers.
Finally, for the y-intercept we need to evaluate in x = 0, so we get:
y-intercept = log(0 + 2) = log(2) = 0.3
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What is 4 times as much as 10.
The vertices of a rectangle are A(− 4, 2), B(3, 2), C(3, − 5), and D(− 4, − 5). If the rectangle is dilated by a scale factor of 3, what will be the coordinates of vertex C′?
By using a dilation around the origin, the coordinates of vertex C' are C'(x, y) = (9, - 15).
What are the coordinates of a vertex of a rectangle?
In this problem we find the four vertices of a rectangle and a scale factor and we are asked to determine the coordinates of the image of one of its vertices by using a dilation. Under the assumption of dilation about the origin, then the transformation rule is defined below:
C'(x, y) = 3 · C(x, y)
Where:
C(x, y) - Coordinates of the original point.C'(x, y) - Coordinates of the resulting point.If we know that C(x, y) = (3, - 5), then the coordinates of vertex C' are:
C'(x, y) = 3 · (3, - 5)
C'(x, y) = (9, - 15)
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HELP ME ANSWER THESE MATH QUESTIONS PLEASE! I WILL GIVE BRAINLYEST!!!
Answer:
Answer:
1. C and d.
A.13/ 5 miles north and 8 miles east
B.8?( The question makes 80% no sense)
3. 51? (Not sure on this once since 51 isn’t really a child).
4.up 5 back 1 up 5 back 1 (is the pattern)
I hope i got it right! <3
Shane completed his science project early, he will receive an extra 5% on top of his regular score. He will also receive 10 bonus points. He received a regular score of 80%. Find his score graphically for g(x)=x+0.05
Based on the fact that Shane gets an extra 5% of his regular score, solving for his mark graphically with the equation, g(x) = x + 0.05 will give us the attached graph.
What graph represents Shane's information?The equation for Shane's score is g(x) = x + 0.05.
When interpreted, this graph means that for every point on the x-axis, the corresponding y-value will be 5% more than the x-value.
A score of 74 on the x-axis would correspond with 79 on the y-axis for instance. This is what is shown in the attached graph which makes it the correct graph.
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please help me i need to figure out which one fast
Answer:
<1≅<3 <2≅<5 <3≅<6
Skylar's monthly bank statement showed the following deposits and withdrawals: $107.51, $102.07, -−$99.71, -−$17.66, $110.57 If Skylar's balance in the account was $80.83 at the beginning of the month, what was the account balance at the end of the month?
The account balance at the end of the month is $283.61
What distinguishes withdrawals from deposits?
The deposits into the bank would increase the balance, hence, they have positive sign whereas the withdrawals would decrease the balance since their sign is negative, in other words, we can determine the account balance at the end of the month by adding deposits to beginning balance and deducting all withdrawals
ending balance=beginning balance+ deposits-withdrawals
beginning balance=$80.83
total deposits=$107.51+$102.07+$110.57
total deposits=$320.15
total withdrawals=-$99.71-$17.66
total withdrawals=-$117.37
ending balance=$80.83+$320.15-$117.37
ending balance=$283.61
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Can somone help me with these fractions will give u brainliest :'(
Answer:
<
<
>
Step-by-step explanation:
Answer: >,<,>
Step-by-step explanation: