Answer:
1/3 ÷ 5 = 1/3 x 1/5 (the reciprocal of 5) or 1/15 cup to make a single dinner roll
Step-by-step explanation:
Candidate A and Candidate B are running for mayor. A poll was taken to determine which candidate would likely win the election. The poll is accurate within ±5%. Write an absolute value equation to find the maximum and minimum percentage of voters who will vote for Candidate A if 38% of the voters in the poll voted for Candidate A. Let A represent the percent of voters who will vote for Candidate A.
Answer:
[tex]|A-38|=5[/tex]
33% or 43%
Step-by-step explanation:
Given that poll is accurate within [tex]\pm5[/tex].
38% voters have voted for candidate A.
[tex]A[/tex] is the percent of voters who will vote for candidate A.
So, value of A can be 38+5=43%
OR
38-5 = 33%
We will write an absolute function for the above situation.
But, first of all, let us have a look at the definition of Absolute value function.
[tex]|y|=\left \{ {-{y}\ if\ y<0 \atop {y}\ if\ y>0} \right.[/tex]
The the value of function gives us a negative sign when the value inside the modulus function is negative.
[tex]A-38[/tex] will be negative when [tex]A < 38[/tex] and
[tex]A-38[/tex] will be positive when [tex]A>38[/tex].
This difference is given as [tex]\pm5[/tex].
Therefore, the absolute value function can be written as:
[tex]|A-38|=5[/tex]
Case 1: [tex]A < 38[/tex]
As per definition of modulus function, it will open with a negative sign.
[tex]-A+38=5\Rightarrow A = 33[/tex]
Case 2: [tex]A>38[/tex]
As per definition of modulus function, it will open with a positive sign.
[tex]A-38=5\Rightarrow A = 43[/tex]
Therefore the answer is 33% or 43%
find an equation of the line through (4,6) and parallel to y=3x+7
Answer: y = 3x - 6
Step-by-step explanation: A line that is parallel to another line must have the same slope, so you already have y = 3x + b. To find b, use the point that they give. b is the y-intercept, so just subtract 3(x) from the y coordinate of the point, where x is the x-coordinate of the given point.
Simplify the following expression.
(5^3)^5
Answer:
5 ^15
Step-by-step explanation:
(5 ^3)^5 =5 ^(3×5)=5 ^15
The rule used is (a^b)^c = a^(b*c)
If you raise some exponential expression to another exponent, then you multiply the exponents. You keep the base the same.
In this case, a = 5, b = 3, c = 5.
Using a calculator,
5^15 = 30,517,578,125
But it's likely your teacher will want you to keep the answer in exponential form since it's easier to work with.
Joe earned $130 one week and $125.50 the next week. After depositing these amounts in his account, he had a total of $335.
How much was already in his account before he deposited the $130 and $125.50?
Answer:
79.50
Step-by-step explanation:
suma 130 mas 125.50 y el resultado de esta se los restas a el total.
HELP! Please include the steps you took as I don't fully understand how to do this!
[tex]22x-17=12x+8[/tex]
15!!! POINTS!!! PLS ANSWER THIS IM HAVING WAY TOO MUCH TROUBLE WITH IT. I’m in 10th grade and this is compound interest. PLS HELP ME IXLS SO FRUSTRATING!!! If you don’t know PLS don’t comment I’ve been doing this for over 2 hours pls
Answer:
well im in 7th sorry i cant help
Step-by-step explanation:
Answer:
6 years
Step-by-step explanation:
if we want to know how much i will get with interest
simple interest amount = principal amount × (rate / m) × n
plus the initial quantity
where m is 12 months per year
and n is the number of months
[tex]4451=2887(\frac{0.09}{12months/year})(n)+2887\\\\4451=2887[\frac{0.09}{12}(n)+1]\\\\(\frac{0.09}{12}\cdot n)+1=\frac{4451}{2887}\\\\\frac{0.09}{12}\cdot n=1.54-1\\\\n(0.09)=12(0.54)\\\\n=\frac{12(0.54)}{0.09}\\\\n=72.23\longleftarrow months[/tex]
so we need to convert it to years
[tex]72.23=12(6)+0.019[/tex]
6 years and 0 months
I apologize if there is some mistake in my answer
PLEASE HELPPPPPJohn and Kathy are shopping for their first home. Between the two of them, they feel they can afford a $1400 monthly house payment. The bank has already preapproved them for a 30-year loan with 5.4% interest. What is the maximum house price John and Kathy can afford?
Answer: $249,300
Step-by-step explanation:
The exact formula would be if I think this is right
PV = PMT(1-(1+r)^-n)/r with r & n adjusted for periodicity
= 1400(1-(1+.054/12)^-360)/(.054/12)
= $249,318.47
which you can round off to, say, $249,300 <------
note:
counterchechecked with a financial calculator
Answer:
239,600
Step-by-step explanation:
Which equation represents the graph shown?
A. y+7=-3(x-4)
B. y+1=-3(x+2)
C. y-4=3(x+7)
D. y-2=3(x-1)
Answer: A
Graph cut the horizontal and vertical axis at 2 points A(0;5) and B(1.66666;0)
you calc x=0 in the answer and have y
you can choose A or B. Next, you calc y=0 into A,B. If x=1.6666666, your answer is A
Sorry about my bad english
THANKS FOR EVERYBODY HELPING ME I WILL GIVE FREE ROBUX
Answer:
6 times
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
add me on discord fun54658#0871
Yall pray for me I'm doing a huge math test
Answer:
An animal shelter has $2500 in its reserve fund. The shelter charges $40 per animal placement and would like to have at least $4000 in its reserve fund. Write an inequality to represent this situation.
Step-by-step explanation:
plz answer
Answer:
OK
Step-by-step explanation:
What type of math geometry? Algebra?
Idk how to do this soooo helppp
Answer:
basically u do the formulas and plug them in.
Step-by-step explanation:
Round this number to the nearest HUNDREDS place
1 point
5,230
Answer:
5,200
Step-by-step explanation:
Answer:
5,000
Step-by-step explanation: Think back to your elementary days: how did you learn to round numbers? Chances are, your teacher taught the class how to round up or down from the number 5. In other words, if the last number is below five, you might round it down, and if it’s above, it gets rounded up.
In fact, there are a whole plethora of rounding rhymes that can easily be found on the internet. Complete a quick Google search, and you might find something like, “5 and above, give it a shove! 4 and below, let it go!”. While these sayings might seem like a great solution to help kids quickly learn to solve problems, how do children know what place value they are rounding to?
kids with scores
Before the current Common Core or individual state standards were established, mathematics was often taught by encouraging students to memorize facts and learn tricks to complete problems. Rounding is no exception, as many educators have encouraged kids to use rhymes like those described above. Needless to say, it doesn’t teach a child the underlying concept itself.
Below we’ll explore exactly why teaching math tricks don’t work, even if it helps students to arrive at a correct answer. Then, keep reading to discover 7 of the best ways to teach rounding numbers.
Why Getting Answers Correct is Not Enough
As mentioned above, teaching kids tricks or “hacks” to complete math problems can sometimes be helpful, it doesn’t help your child understand the mathematical concept behind the skill. For kids, teaching them to think about the number 5 and round up or down can help them arrive at the right answer, but they aren’t thinking about place value when they use the trick. So, if children are completing a rounding activity, they don’t know if they should round to the nearest ten or hundred. In fact, they might not know why they’re rounding up or down at all!
would you rather drive a car at the rate of 40 kilometers per hour or drive a car at a rate of 15 meters per second, and why? which one is correct
Answer: 15 meters per second
Step-by-step explanation: Kilometers are 1,000 times larger than meters
A function f(x) is graphed.
What is the slope of the function?
ma
What is the y-intercept of the function?
b.
Which equatich represents the graph of the function?
Answer:
slope:1/2
y intercept:-1/2
equation of the line: y=1/2x-1/2
Step-by-step explanation:
choose two points from the line( I chose (3,1) and (-1,-1)) and then using y1-y2/x1-x2, do 1 - -1/3 - -1 which is 2/4 simplified to 1/2. the slope is 1/2.
now to find the y intercept, you just have to plug in the numbers from one of the sets of points you chose and your slope using y = mx +b(I will be using the point (-1,-1)). equational look like this: -1=1/2•-1+b
since b is the y intercept, solve for b and you get b= -1/2.
so nowsince you know the slope and the y intercept you just plug it in to the equation
y = mx + b and you get y=1/2x-1/2.
During a sale at the mal, all items were marked down 40% off of the original price. Lily purchased a purse that was originall $220.00. What is the price of the purse after the discount?
Answer:
$132
Step-by-step explanation:
40% off means it is actually 60% of the regular price.
Thus, you will multiply the original (220) by .6 (this means 60 percent)
and you will get 220*.6=132
Answer:
132
Step-by-step explanation:
First, find 40% of 220, which is 88 (220 * 0.4). Since everything was marked down, 40% was taken off the original price. So, 220 - 88 = 132
I need help asap pleaseeeee
Answer:
y=x-3
Step-by-step explanation:
thats the answer
what is addition property
Answer:
When we add two or more whole numbers, their sum is the same regardless of the order of the addends. The sum of both 2 + 4 and 4 + 2 is 6. That means, we can add whole numbers in any order. When three or more numbers are added, the sum is the same regardless of the grouping of the addends.
Step-by-step explanation:
there
There are four mathematical properties which involve addition. The properties are the commutative, associative, identity and distributive properties.
Commutative Property: When two numbers are added, the sum is the same regardless of the order of the addends.
For example 4 + 2 = 2 + 4
To remember the commutative property, it might be helpful to think about the word commute which means to switch places between home and work (or home and school). In the example above, you can see the 4 and the 2 commuting or switching places.
Associative Property: When three or more numbers are added, the sum is the same regardless of the grouping of the addends.
For example (2 + 3) + 4 = 2 + (3 + 4)
To remember the associative property, it might be helpful to think about the word associate, which as a verb means to interact with a group (maybe you associate with a certain group of friends!). The parentheses are grouping operators, that is, they form groups of numbers and operations. You can see in the example above, the 3 can associate with either the 2 or the 4, but the value of each side is still a total of 9.
Identity Property: The sum of any number and zero is the original number.
For example 5 + 0 = 5.
To remember the identity property, it might be helpful to think of it as a question and answer: What number can I add so that the value is not changed? Zero. In the example above, the 5 gets to keep its identity because adding zero does not change its value.
Distributive Property: The sum of two numbers times a third number is equal to the sum of each addend times the third number.
For example 4 * (6 + 3) = 4*6 + 4*3
The distributive property is the only property that combines multiplication and addition. That makes it very important!
There were 60 children at the birthday. If 1/4 of them were boys how many were
boys?
Answer:
15
Step-by-step explanation:
60 x 1/4 = 60/4 = 15
please help, i need it done soon
Answer:
Point C i think is: (33/8, 0)
Step-by-step explanation:
I hope this helps -w-
|5x|>-4
Solve the following inequality
Answer:
all numbers
Step-by-step explanation:
|5x|>-4
Absolute values are greater than or equal to zero
This says that our absolute value is greater than a negative number
This is always true so x can be any number, so it has infinite solutions
x is all real numbers
Which of the following lines is parallel to x = 4? (2 points)
A.3y = 9
B.y = 4
C.X = 2
D.x=y
Answer:
x = 2
Step-by-step explanation:
x = 4 is the equation of a vertical line parallel to the y- axis
A line parallel to it must also be a vertical line with equation
x = c ( c is a constant )
The only equation of this form is
x = 2 ← parallel to x = 4
10. The ratio of the number of male employees to the number of female employees in Westlake high school is 6:5. There are 40 females in the school. How many total employees are in Westlake high school?
Answer:
45
Step-by-step explanation:
Male = 6 Male = ?
Female = 5 Female = 40
^
? = 6x5 because 5x5 = 40
A rectangular box is 8 inches long, 10 inches wide and 6 inches tall. What is the approximate length of its longest diagonal? 10 inches 14.1 inches 4.9 inches 24 inches
Answer:
d = 10 inches
Step-by-step explanation:
It is given that,
The length, breadth and the height of a rectangular box is 8 inches×10 inches ×6 inches
We need to find the length of its longest diagonal.
In a rectangle, 6 inches will act as perpendicular and 8 inches will be base. The diagonal can be calculated using Pythagoras theorem as follows :
[tex]d=\sqrt{8^2+6^2} \\\\=\sqrt{64+36}\\\\=10\ \text{inches}[/tex]
So, the length of its diagonal is 10 inches.
Select the correct answer.
What is the sqare root of 75 in simplest form?
Answer:
75 = 25 x 3.
Step-by-step explanation:
this is the answer the picture above
Plz help :( I don’t understand
PLEASE MARK AS BRAINLIST
Answer:
1. 2x-20+2x-15=13
4x-35=13
4x=13+35
4x=48
x=12
2. x-4+9=2x-4
2x-x= -4+9+4
x=9
3. IJK=41+130=171
4. KJD=88-50=38
f(x)= 3x^2-7 over
4x^2-3
-find f(2)
Answer:
5/13
Step-by-step explanation:
f(x) = [tex]\frac{3x^{2}-7 }{4x^{2}-3 }[/tex]
Substitute x for 2.
[tex]\frac{3(2)^2-7}{4(2)^2-3}[/tex]
Solve
[tex]\frac{3(4)-7}{4(4)-3}[/tex]
[tex]\frac{12-7}{16-3}[/tex]
f(2)= [tex]\frac{5}{13}[/tex]
The value of f(2) is 5/29.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
f(x) = 3x² -7/ 4x² - 3
Now, find the value of the function at x= 2
So, f(2)= 3(2)² -7/ 4(2)² - 3
f(2) = 3 x 4 -7 / 4 x 8 - 3
f(2) = 5/29
Hence, the value of f(2) is 5/29.
Learn more about function here:
https://brainly.com/question/5245372
#SPJ2
Miguel completed the division problem below. What is Miguel's error? A.He included a 5 in the quotient, which does not belong. B.He multiplied the divisor by 10 and the dividend by 100. C.He subtracted 208 from 234 incorrectly. D.He multiplied the divisor by 100 and the dividend by 10.
The image of the division problem is missing, so i have attached it.
Answer:
D: He multiplied the divisor by 100 and the dividend by 10.
Step-by-step explanation:
From the image, we can see from the initial values, they are trying to divide 0.52 by 754.
In Mathematics, it means that 0.52 is the divisor while 754 is the dividend.
Now, the next step sees 0.52 changed to 52 while 754 changes to 7540.
Now, 0.52 to 52 means 0.52 was multiplied by 100.
This means that 754 should also be multiplied by 100 to give 75400 in order to retain the original answer that would have been gotten if we had divided 0.52 by 754.
Yet they used 7540.
Thus,the error is that he multiplied the divisor by 100 while he multiplied the dividend by 10.
Answer :
D - He multiplied the divisor by 100 and the dividend by 10.
plz help I will mark you brainlist plz
Answer:
this is hard is this algabra
What’s the unit rate of 2 1/3 miles in 2 hours
Answer:
7/6 miles
Step-by-step explanation:
As, Distance for 1 hour = x
For 2 hours = 2 1/3
For 2 hours = 2(x)
So, 2(x)= 2 1/3
2(x)= 7/3
So, x = 7/3 ÷ 2
So x= 7/3 x 1/2
Therefore, x = 7/6
Final answer= 7/6 miles per hour
Please answer correctly !!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!
Answer:
Not too sure because I don't know how it works for your site but drag the B dot to the A dot and drag that A dot to the C dot so their all going through the lines while being connected.
(sorry if its incorrect had a hard time reading the picture)