Answer:
Step-by-step explanation:
Let's pretend this was just whole numbers. So used 2 gallons and had 3 left. Hopefully it's clear you'd have started with 5. It's basically an algebra equation. If we say x is the starting amount then
x-2 = 3
x = 5. Let me know if that doesn't make sense. Now though we can plug in the actual values.
x - 2 1/4 = 3 5/6
x = 2 1/4 + 3 5/6
x = 5 1/4 + 5/6
Now, to add fractions you need to change the denominator. You need to know you can change fractions by multiplying the numerator and denominator by a number. so 1/2 can be 2/4 because 1*2 = 2 and 2*2 = 4. So on you can make it 3/6, 4/8 and on and on and on. This is what we want to use.
We have 1/4 and 5/6. Well, you could try increasing both one by one until you get the same denominator, but a way to do it in one step is to multiply one by the other's denominator. so 1/4 = (1*6)/(4*6) = 6/24 and similarly 5/6 = (5*4)/(6*4) = 20/24. So now we are adding 6/24 + 20/24 = 26/24 or 1 2/24 = 1 1/12. ANyway, now you are adding
5 1/4 + 5/6 = 5 + 1 1/12 = 6 1/12. There is a different way to add fractions, but it's a little more involved and this way always works so that's what I use.
Answer: [tex]6\frac{1}{12}\ gallons[/tex]
Step-by-step explanation:
We can make the conversion from mixed numbers to improper fractions:
Multiply the whole number part by the denominator of the fraction.Add the numerator of the fraction and the product obtained (This sum will be the new numerator).The denominator is the same.Then:
[tex]2\frac{1}{4}=\frac{(2*4)+1}{4}=\frac{9}{4}\\\\3\frac{5}{6}=\frac{(6*3)+5}{6}=\frac{23}{6}[/tex]
We need to add the fractions in order to calculate the amount of paint Darren bought. Since the denominators are differente, we must find the Least Common Denominator (LCD):
[tex]4=2*2=2^2\\\\6=2*3\\\\\\LCD=2^2*3=12[/tex]
Then:
[tex]\frac{9}{4}+\frac{23}{6}=\frac{27+46}{12}=\frac{73}{12}\ gallons[/tex]
To convert this improper fraction to a mixed number:
When you divide 73 by 12 you get a quotient of 6. This will be the whole number.The remainder obtained is 1. This will be the numerator of the fraction. The denominator does not change.Then:
[tex]\frac{73}{12}\ gallons=6\frac{1}{12}\ gallons[/tex]
Use the properties of exponents to complete the equivalent expression.
Answer:
15
Step-by-step explanation:
We can multiply powers with the same base
x^4⋅x^2=(x⋅x⋅x⋅x)⋅(x⋅x)=x^6
Properties of exponents are rules used to simplify mathematical expressions involving exponents. Examples are Power of a Power which means adding exponents when multiplying two expressions with the same base, and Quotient of Powers which is subtracting exponents when dividing two expressions with the same base.
Explanation:The question is about the properties of exponents. In mathematics, the properties of exponents refer to the rules that guide how expressions involving exponents are handled. For example, when you multiply two expressions with the same base, you add the exponents (also known as the Power of a Power property). So, an exponent like x^3 * x^2 simplifies to x^(3+2) = x^5.
Another example is the quotient of powers property, where you subtract the exponents when dividing two expressions with the same base. So, an expression like x^5 / x^3 simplifies to x^(5-3) = x^2.
These are just a couple of the basic properties of exponents. Other properties include the power of a product, the power of a quotient, zero exponent, and negative exponent. Each of these properties follows specific rules to simplify the expression involving exponents.
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what is the value of x?
AC= 32
Your bank account balance is −$20.85. You deposit $15.50. What is your new balance?
Your new balance=$-5.35
Answer:
[tex]-5.35[/tex] [tex]dollars[/tex]
Step-by-step explanation:
Currently, your bank account balance is [tex]-20.85[/tex] [tex]dollars[/tex]
You then [tex]deposited^{1}[/tex] [tex]15.50[/tex] [tex]dollars[/tex]
This means:
That you added $15.50 into your bank account balance, so:
-$20.85 + $15.50
==> -5.35
FOOTNOTE:
Deposited - put or set down
Given the function f(x)=x2+2x+1, find:
f( 2a−3/5 )
Answer:
[tex]f(2a-\frac{3}{5})=4a^2+\frac{8a}{5}+\frac{4}{25}[/tex]
Step-by-step explanation:
we have
[tex]f(x)=x^{2} +2x+1[/tex]
Find [tex]f(2a-\frac{3}{5})[/tex]
That means -----> substitute the value of [tex]x=(2a-\frac{3}{5})[/tex] in the function and evaluate
[tex]f(2a-\frac{3}{5})=(2a-\frac{3}{5})^{2} +2(2a-\frac{3}{5})+1[/tex]
[tex]f(2a-\frac{3}{5})=(4a^2-\frac{12a}{5}+\frac{9}{25})+(4a-\frac{6}{5})+1[/tex]
[tex]f(2a-\frac{3}{5})=4a^2+\frac{8a}{5}-\frac{21}{25}+1[/tex]
[tex]f(2a-\frac{3}{5})=4a^2+\frac{8a}{5}+\frac{4}{25}[/tex]
The price of an item has been reduced by 60%. The original price was $55. What is the price of the item now?
Answer:
Step-by-step explanation:
55*.60=$33
SO, 55-33=22THE ITEM IS $22 NOW
A rectangle is
7 times as long as it is wide. The perimeter is
48 feet. Find the dimensions.
Answer:
21 by 3
Step-by-step explanation:
3x7=21
21+21=42
3+3=6
42+6=48
Write 10 x 10 x 10 x 10 x 10 x 10 with an exponent. Explain how you decided what exponent to write
10x10x10x10x10x10=1000000
[tex] {10}^{6} [/tex]
means 10x10x10x10x10x10
as it's basically saying 10 is multiplied by itself 6 times which gives you 1000000
The expression 10 × 10 × 10 × 10 × 10 × 10 can be written with an exponent as [tex]10^{6}[/tex]
What is an exponent?In Mathematics and Geometry, an exponent can be represented or modeled by this mathematical expression;
[tex]b^n[/tex]
Where:
the variables b and n are numbers (numerical values), letters, or an algebraic expression.n is known as a superscript or power.Based on the information provided above, we can logically deduce the following expression;
10 × 10 × 10 × 10 × 10 × 10
[tex]10^{1+1+1+1+1+1}=10^{6}[/tex]
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Enter the terms and coeffidents -80+8p-2z
Step-by-step explanation:
Look at the picture
-80 + 8p - 2z
Terms: -80, 8p, -2z
Coefficients: -80, 8, -2
through a point not in a plane are an infinite number of lines parallel to the plane always sometimes never
Answer:
sometimes
Step-by-step explanation:
i think sometimes
Answer:
ALWAYS!!
Step-by-step explanation:
What is the base of the triangle when the area is 120ft and the height is 8ft
The base is 30.
Hopefully I got this correct, not 100%
Answer: 30 ft
Step-by-step explanation:
Area of a triangle= (bh)/2
* multiply both sides by 2
2A=bh
*divide by h
(2A)/h=b
*substitute values
(2x120)/8=b
240/8=30
What is the solution of the following system?
-2x-y=1
-4x-2y=-1
A. infinitely many solutions
B. no solutions
C. (3,8)
D.(-3,-8)
B
when we multiply the equation and subtract equatio 2 from equation 1 the result is 0=-4 and 0=2
Answer: The correct option is
(B) no solution.
Step-by-step explanation: We are given to find the solution of the following system of equations :
[tex]-2x-y=1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\-4x-2y=-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
From equation (i), we have
[tex]-2x-y=1\\\\\Rightarrow y=-2x-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]
Substituting the value of y from equation (iii) in equation (ii), we get
[tex]-4x-2(-2x-1)=-1\\\\\Rightarrow -4x+4x+2=-1\\\\\Rightarrow 2=-1,[/tex]
which can never be possible.
Thus, the given system of equations have no solution.
Option (B) is CORRECT.
What is 5.9 rounded to
Answer:
6
Step-by-step explanation:
A school district purchased 615 new laptops for their mobile labs. Each computer cost $409. What is the total cost for all of the laptops?
Answer: $251,535 is the total cost for all the laptops.
Step-by-step explanation:
615×409= 251,535
Answer:
[tex]total\ cost=\$251,535[/tex]
Step-by-step explanation:
For this exercise it is important to analize the information provided in the exercise.
According to the exercise, the of cost each computer is:
[tex]cost=\$409[/tex]
You know that the school district purchased 615 new laptops for their mobile labs; therefore, in order to calculate the total cost for all the laptops purchased, you must multiply the cost of one laptop ($409) by 615.
Therefore, you get that the total cost is the following:
[tex]total\ cost=(\$409)(615)\\\\total\ cost=\$251,535[/tex]
What time is 5 1/4 hours after 7:00 p.m.
Answer:
9 or 10
Step-by-step explanation:
because you add the hours
Evaluate the variable expression for x = 5, and enter your answer in the box
below.
7•(x-8)-3
Answer:
-18
Step-by-step explanation:
I used order of operations. first. you want to go the thing in parentheses. then I times it by 7 and minuses it by 3
The evaluation of the given mathematical expression 7•(x-8)-3 for x = 5 results in -24.
Explanation:To evaluate the variable expression 7•(x-8)-3 for x = 5, we substitute the value of x into the expression.
This becomes 7•(5-8)-3, which simplifies to 7•(-3)-3, or -21-3. Therefore, the evaluation of the given expression for x = 5 is -24.
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Charmaine will run less than 26 miles this week. So far, she has run 18 miles. What are the possible numbers of additional miles she will run? Use t for the number of additional miles she will run. Write your answer as an inequality solved for t
Answer:
18+t<26
t={1,2,3,4,5,6,7}
Step-by-step explanation:
18+t<26
alright, so you know that she will run less than 26. That means she cannot run 26 or 27 or any more miles than that.
She can run 19, 20, 21, 22, 23, 24, or 25 miles in total from her starting point which is 18.
She already ran 18 miles. If she ran one more it would be 19, if she ran 2 more it could be 20. But she CAN NOT pass 25 miles. (it is not less than OR equal to)
so let me put it like this:
18+1<26 yes because 18+1=19 which is less than 26
18+2<26 yes because 18+2=20 which is less than 26
18+3<26 yes because 18+3=21 which is less than 26
18+4<26 yes because 18+4=22 which is less than 26
18+5<26 yes because 18+5=23 which is less than 26
18+6<26 yes because 18+6=24 which is less than 26
18+7<26 yes because 18+7=25 which is less than 26
18+8<26 NOOO because 18+8=26 which is NOT less than 26 (it's equal, not less than)
I really hoped this help please ask me more ill be happy to help. Also if u understood can I get the brainliest?
What is lcm of 5 , 6 and 7
Answer:
210
Step-by-step explanation:
Since the three numbers have no factors in common, you can get the LCM by multiplying all three numbers.
(Picture Included) Can someone help me on 5?
Answer:
43
Step-by-step explanation:
Which is bigger 0.999 or 1.0?
Answer:1.0
Step-by-step explanation: 0.999 repeating is not a whole number like 1.0
Answer:
1.0
Step-by-step explanation:
Look at where the numbers are placed, in regards to the decimal point.
If a number is 1 place before a decimal point (For example 5.0) it is in the ones place.
If a number is 1 place after a decimal point (For example 0.1) It is in the tenths place.
Any numbers that are to the right the decimal are smaller than numbers to the left!
7.
A holiday meal cost $12.50 a person plus a delivery fee of $30.
Which equation represents the amount a holiday meal
costs(y), including delivery, for x people?
Answer:
12.50x+30
Step-by-step explanation:
Answer:
[tex]y = 12.5x + 30[/tex]
Step-by-step explanation:
We are given the following information in the question:
Cost of a holiday meal = $12.50
Delivery fee = $30
Cost(y) represents the amount a holiday meal including delivery for x people.
[tex]cost = (\text{Cost of meal}\times x) + \text{Delivery chareges}[/tex]
Putting all the values,
[tex]y = 12.50\times x + 30\\y = 12.5x + 30[/tex]
The above equation gives the total amount of holiday meal for x people including the delivery charges.
The sides of a triangle are a + 3 ¼, 2a, and 7 ½ - a. If a = 4 1/8, what is the length of each of the three sides? Also, find the perimeter of the triangle showing steps for your work.
Answer: Side one is 7 3/8
Side two is 8 2/8
Side three is 3 3/8
Perimeter is 19
Step-by-step explanation:
The first side is a+3 1/4
the second side is 2a
The third side is 7 1/2-a
Plug 4 1/8 in for a
First side 4 1/8+3 1/4
Find the common denomnator which is 8
4 1/8+3 2/8
7 3/8
First side is 7 3/8
Second side 2(4 1/8)=4 1/8 +4 1/8= 8 2/8
Third side is 7 1/2-4 1/8
Find the common denominator which is 8
7 4/8-4 1/8= 3 3/8
Third side is 3 3/8
The perimeter is adding all the three sides together
7 3/8+8 2/8+ 3 3/8=18 8/8
Reduce 18 8/8=18 +1=19
Answer:
Perimeter = 19 units
Step-by-step explanation:
Given a = 4 1/8
[tex]Side1 = a + 3\frac{1}{4}\\Side2 = 2a\\Side3 = 7\frac{1}{2}-a[/tex]
The next step is substituting the a value in the expressions:
[tex]Side1 = 4\frac{1}{8}+ 3\frac{1}{4}\\Side2 = 2*(4\frac{1}{8})\\Side3 = 7\frac{1}{2}-4\frac{1}{8}[/tex]
Then, fractions with different denominators must be converted to the same denominator. Also, the multiplication of a whole number by a mixed number can be done by using distributive law:
[tex]Side1 = 4\frac{1}{8}+ 3\frac{2}{8}\\Side2 = 8\frac{2}{8}\\Side3 = 7\frac{4}{8}-4\frac{1}{8}[/tex]
[tex]Side1 = 7\frac{3}{8}\\Side2 = 8\frac{1}{4}\\Side3 = 3\frac{3}{8}[/tex]
Now, the perimeter is the sum of all the sides. Therefore, the perimeter is:
[tex]Perimeter = 7\frac{3}{8} + 8\frac{1}{4} + 3\frac{3}{8}[/tex]
Which is 19 units.
If f(x) = 3x2 + 1 find f(6).
109
5/3
325
Answer:
The answer is 109.
Do you use the Monarch school program?? Looks just like mine!
Your bank offers the Bradys a 30-year mortgage with a rate of 5%. At that rate, the monthly payments for principal and interest on the loan will be $5.37 for every $1,000 financed.
Answer:
Your answer would be 30a - year
Hope this helped. Please mark brainliest if this helped.
Monthly payment is the principal and interest payment for each year for $1000 financed. he payment of the mortgage is $4639.75
Given information-The period for which the mortgage offered is 30 years.
The rate for which the mortgage offered is 5 percent.
The interest on the loan is $5.37 for every $1000 financed.
Monthly paymentMonthly payment is the principal and interest payment for each year for $1000 financed.
He has to pay for 30 years. As there is 12 month in one year. Therefore the total months in 30 years,
[tex]n=30\times12\\ n=360[/tex]
Thus the value of n is 360.
The formula for the principal amount can be given as,
[tex]P=a\times\dfrac{r}{n} [/tex]
Put the values
[tex]5.37=a\times \dfrac{0.41667}{360} \\ [/tex]
Solving it for the a
[tex]a=4639.75[/tex]
Thus the payment of the mortgage is $4639.75.
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Which mixed number is equvilent to thevimproper fraction 23/6
Which of the following represents the additive identity?
1. ab = ab
2. a x 1 = a
3. a+b = b+a
4. a + 0 = a
Answer:
4. a + 0 = a
Step-by-step explanation:
The zero means that it is the additive property.
Answer:
a + b = a
Step-by-step explanation:
Additive identity- the number 0; when added to any number, the value of the number does not change.
An article fills 5/8 of a magazine page. A
related photo takes up 1/4 of the article. How
much of the page is taken up by the photo?
Answer:
35
Step-by-step explanation:
bundles tundra dismay chard bff dusk m u
Based on the given information, the photo takes up 5/32 of the page.
How much of the page is taken up by the photo?To find out how much of the page is taken up by the photo, multiply the fraction representing the article's portion of the page (5/8) by the fraction representing the photo's portion of the article (1/4).
First, calculate the fraction representing the photo's portion of the page:
(5/8) * (1/4) = 5/32
Therefore, the photo takes up 5/32 of the page.
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Definiton of numerator?
The numerator is the number above a fraction bar. It indicates how many parts of the whole.
Answer: the part of a fraction that represents how many equal parts are being counted
Step-by-step explanation:
For example
1/6 the one is a numerator
Anna has the following averages in his math class.
REPORT
CARD
Homework Avg: 95
Quiz Avg: 90
Test Avg: 87
Final Exam: ?
If the teacher weights homework at 20%, Quizzes at 20%
Tests at 40% , and the final exam at 20%, what is the
minimum grade Anna can make on the final so that she
scores a 90 in the class?
a. 86
b. 91
C.
d
94
98
Answer:
b) 91
Step-by-step explanation:
Step 1: Multiple marks by its weights
Homework average: 95 x 20% = 19
Quiz average: 90 x 20% = 18
Test average: 87 x 40% = 34.8
Final exam: y x 20% = 0.2y
Step 2: Add all weighted averages and find y
19+18+34.8+0.2y = 90
71.8 + 0.2y = 90
y = 18.2/0.2
y = 91
Therefore, Anna needs to score minimum 91 in the final exam so that she can score a 90 in class.
Option b is correct.
!!
the graph of y= -4×+7 is
Answer:
Step-by-step explanation:
The graph of y= -4×+7 is a straight line with slope -4 and y-intercept 7. Please do not use × to represent the independent variable; use x instead. × represents multiplication.
To graph this function, first plot the y-intercept, b, which is (0, 7).
Next, starting with your pencil point at (0, 7), move the point 1 unit to the right and plot another point (which will be (1, 7) ). Now move your pencil point 4 units down and plot your third point, which will be (1, 3).
Finally, draw a straight line thru the first and third points, that is, thru (0, 7) and (1, 3). Notice how this line has the slope -4 and the y-intercept (0, 7).
Helppp it’s due today!!
Answer: 15 + c = 64
Step-by-step explanation:
we need to do 15 + 64
C represents her age, which would be 49, if you needed to know
Therefore the equation is 15 + c