The answer is 22 1/2
Please simplify the following distributive property expression:
-11(9b-8)
[tex]-11(9b-8)=(-11)(9b)+(-11)(-8)=-99b+88[/tex]
is feet a type of surface area
It would have to be feet squared, it couldn't just be feet.
Can someone plz help me find the GCF if number 9 plz
what is the anwser to x-6y=-30
Steps for solving for x.
Step 1. Add 6y to both sides
x = -30 + 6y
Step 2. Regroup terms
x = 6y - 30
Steps for solving for y.
Step 1. Subtract x from both sides
-6y = -30 - x
Step 2. Divide both sides by -6
y = -30 - x/6
1.) Use a property to write an equivalent expression for 12*(100-5). Which property did you use?
2.) Stephen is combing all of the juice shown to make fruit punch. Does the expression (64+28+76)÷6 show how you could calculate the number of 3/4 cup servings? Explain. (The amount of juice is in the parentheses)
1. 12*100 - 12*5
You would use the distributive property to get this equation (it is equivalent to the original one)
2. Um... There's no actual story for this problem; sorry I can't solve this problem
Answer:
1. 12*100 - 12*5
You would use the distributive property to get this equation (it is equivalent to the original one)
2. Um... There's no actual story for this problem; sorry I can't solve this problem
Step-by-step explanation:
Edison has a sales job and receives $45,448 as his annual pay plus commission his company pays him commission of 15% on this total sales if he makes sales of $25000 in the first 3 months how much will he be paid for those 3 months
Answer:
Edison will be paid $15,112 for the first three months.
Step-by-step explanation:
We know that Edison receives an annual fixed pay of $45,448. Therefore, his fixed pay for each month will be [tex]\frac{45448}{12}=\$3787.33[/tex]
Therefore, his fixed pay for the 3 months will be [tex]3787.33*3=\$11362[/tex].
Now let us compute the commission that Edison received. For that we will compute the 15% of the total sales for those 3 months. Total sales for the 3 months is $25000. Therefore, his commission would be [tex]0.15*25000=\$3750[/tex]
Therefore, total pay that Edison received during first 3 months would be:
[tex]11362+3750=\$15,112[/tex]
Edison will be paid $48,862 for the first 3 months.
To calculate Edison's total payment for the first 3 months, we need to consider both his annual pay and the commission he earns from his sales.
First, let's calculate the commission Edison earns from his sales. He makes sales of $250,000 in the first 3 months, and the commission rate is 15% of the total sales. The commission can be calculated as:
[tex]\[ \text{Commission} = \text{Total Sales} \times \text{Commission Rate} \] \[ \text{Commission} = \$250,000 \times 0.15 \] \[ \text{Commission} = \$37,500 \][/tex]
Next, we need to calculate Edison's base salary for 3 months. Since his annual pay is $45,448, we divide this by 4 to get the quarterly pay (as there are 4 quarters in a year):
[tex]\[ \text{Quarterly Pay} = \frac{\text{Annual Pay}}{4} \] \[ \text{Quarterly Pay} = \frac{\$45,448}{4} \] \[ \text{Quarterly Pay} = \$11,362 \][/tex]
Now, we add the quarterly pay to the commission to find the total payment for the first 3 months:
[tex]\[ \text{Total Payment for 3 Months} = \text{Quarterly Pay} + \text{Commission} \] \[ \text{Total Payment for 3 Months} = \$11,362 + \$37,500 \] \[ \text{Total Payment for 3 Months} = \$48,862 \][/tex]
There are 12 inches in a foot. Which expressions describe how many inches are in 4 feet? Check all that apply.
Answer:A,C,D
Step-by-step explanation:
Took test
Let p: x < −3 Let q: x > 3 What is represented by p ∨ q? x < −3 and x > 3 x > 3 or x < −3 If x < −3, then x > 3 x < −3 if and only if x > 3
[tex]\vee=or\\\\therefore\\\\p:x < -3\ ; q:x > 3\\\\p\vee q\to x < -3\ or\ x > 3[/tex]
[tex]\wedge=and\\\\\Rightarrow=if\ ...,\ then\ ...\\\\\Leftrightarrow=if\ and\ only\ if[/tex]
Answer:
the one with or just got it right
Step-by-step explanation:
please answer quickly thanks :) good morning btw
1. 1/9
2. 0
3. -9
4. -1
Reasoning: To get the opposite of a number just add a negative sign or take it away. This can be done to all numbers other than 0
help now I don't know !!!
Additive inverse: the additive inverse of a number a is the number that when added to a yields zero.It's also known as the opposite sign change and negation. For a real number it reverses its sign: the opposite to a positive number is negative and the opposite to a negative number is positive
Integer:Any number that is positive negative or nuetral, intergers cannot have decimals or fractions
Negative number: A number that is below zero. For example, -1 or -2 2/3
Positive number: A number that is above 0. For example, 1 or 2 2/3. You can also write a positive number with a + sign infront of it. For example, +1 or +2
good luck
which construction is illustrated above?
a) a parallel line to a given line from a point not on the line
b) an angle congruent to a given angle
c) the bisector of an angle
d) a perpendicular to a given line from a point on the line
Pretty sure it is A - a parallel line to a given line from a point not on the line
I'm working on the same test :)
Answer:
The construction is a parallel line to a given line from a point not on the line.
Step-by-step explanation:
For a given figure,
To construct a parallel line
Step 1 : Draw transversal line through any point not on line which is given.
Step 2: Using construction copy an angle, construct same angle formed by transversal line and given line.
Step 3: This is the last step in which when the copy of an angle completed draw a line parallel to the line.
please help.......if Frans fudge recipe calls for 2 1/2 cups of sugar and she increases it by 2/5 of a cup, how much sugar does she use?
Fran's fudge recipe, originally calling for [tex]2\frac{1}{2}[/tex] cups of sugar, would require [tex]2\frac{9}{10}[/tex] cups after she increases the sugar by 2/5 of a cup. The process involves converting mixed numbers to improper fractions, finding a common denominator, and then adding the fractions together.
If Fran's fudge recipe calls for [tex]2\frac{1}{2}[/tex] cups of sugar and she increases it by 2/5 of a cup, we first need to find the common denominator to combine these two fractions. To do this, we express [tex]2\frac{1}{2}[/tex] cups as an improper fraction, which is 5/2 cups (since [tex]2\frac{1}{2}[/tex] = 5/2). Then, we add 2/5 of a cup to it.
Steps:
Convert 2 1/2 cups to an improper fraction: [tex]2\frac{1}{2}[/tex] = 5/2.
Add 2/5 cup to 5/2 cups: To add these, we need a common denominator, which is 10. So, we convert 5/2 to 25/10 and 2/5 to 4/10.
Add the two fractions: (25/10) + (4/10) = (29/10).
Convert 29/10 back to a mixed number: 29/10 = [tex]2\frac{9}{10}[/tex].
Therefore, Fran uses [tex]2\frac{9}{10}[/tex] cups of sugar in her fudge recipe after the increase.
Y apples at $0.35 each
The formula C = 0.35y efficiently calculates the total cost of y apples at $0.35 each. It demonstrates a straightforward linear relationship between cost and quantity.
To find the total cost (C) of y apples priced at $0.35 each, you can use the equation C = 0.35y. This formula multiplies the cost per apple ($0.35) by the number of apples (y) to give you the total cost. For instance, if you want to buy 10 apples (y = 10), the calculation would be C = 0.35 * 10, which equals $3.50.
This equation works because it represents a simple linear relationship between the cost and the quantity of apples. Each apple adds $0.35 to the total cost. Therefore, by multiplying the cost per apple by the number of apples, you get the overall cost.
Remember, this formula assumes a constant price per apple. If the price were to change, the equation would need to be adjusted accordingly. This calculation is useful for budgeting and understanding the cost implications of buying a specific quantity of apples at a given price.
Complete question:
What is the answer to y apples at $0.35 each
To learn more about linear relationship
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Perform the indicated operation.
x3 • x2
I believe it would be x5 considering you must add exponents when you multiply.
Answer:
[tex]x^3\cdot x^2=x^5[/tex]
Step-by-step explanation:
The rule to multiply two powers with the same base consists in adding the exponents. The general form would be:
[tex]x^a\cdot x^b=x^{a+b}[/tex]
For verifying the previous rule, let's say that x=2, a=2 and b=3. The equation would be:
[tex]2^2\cdot 2^3=2^{5}[/tex]
[tex](4)\cdot (8)=2^{5}[/tex]
[tex]32=32[/tex]
We have obtained the result multiplying individually and applying the rule.
Now, for the [tex]x^3\cdot x^2[/tex] exercise, the result would be obtained by adding 3 and 2. It would be:
[tex]x^3\cdot x^2=x^{3+2}=x^5[/tex]
The solution is [tex]x^5[/tex]
What is the answer
Hello!
To find the answer to this question we first need to find the weekly average.
If we divide 4,320 by 9, we are given an average of $480 per week.
Since we are given the information that Robin works 50 weeks during the year, we can multiply that value by 50 which equal to $24,000.
Hope this helps.
A student notices in the table below that as the x-value increases by 5, the y-value decreases by 2. Because there is a pattern, the student has determined that, x is proportional to y.
Do you agree with the student’s claim? Why or why not?
___________
X
5x1=5
5x2=10
5x3=15
5x4=20
5x5=25
Y
20-2=18
18-2=16
16-2=14
14-2=12
X Is by 5 and Y is subtracting by 2
I need help remembering the steps to 56=
2(x+2)
Dwight spent $250 to rent a jet ski for 6 hours. The rental company charges a base rate of $150 for the first two 2 hours, and then an hourly rate for each additional hour, h. The equation 4h + 150 = 250 models Dwight's cost of renting the jet ski. How much does each additional hour of rental cost?
Answer:
25$
Step-by-step explanation:
4h+ 150= 250
subtract the 150 from 250 to get 100
4h =100
then divide 100 by 4
h=25
Answer:
25$
Step-by-step explanation:
$25 for each additional rental hour.
4h + 150 = 250
4h = 100
h = 25
whats the equivalent of this equation? help please
[tex]9^{\frac{1}{8} }[/tex]x
note that [tex]\sqrt[4]{9}[/tex] = [tex]9^{\frac{1}{4} }[/tex]
and all raised to the power [tex]\frac{1}{2}[/tex] x
multiply [tex]\frac{1}{4}[/tex] × [tex]\frac{1}{2}[/tex] x = [tex]\frac{1}{8}[/tex] x
change 1.34 repeating into a fraction
[tex]x=1.\overline{34}\\\\x=1.343434...\qquad|\cdot100\\\\100x=134.343434...\\\\100x-x=134.343434...-1.343434...\\\\99x=133\qquad|:99\\\\x=\dfrac{133}{99}[/tex]
Which activity did artists do during the enlightenment?
Answer:
They place more emphasis on science.
Step-by-step explanation:
The enlightenment emerged in 18th-century, which brought ideas that were deeply influenced by reason, empiricism and classics. It restructured the old Greek and Roman ideas to make new inventions, and was changing ideas due to reasoning. It was the idea behind the invention of sculpting, a new way of passing ideas or information to people more than through paintings.
Enlightenment initially started with assembling of ordinary materials by a process termed sculptural construction, did not mean exactly the same thing to everybody.
During the enlightenment, artists placed more emphasis on science.
Artists during the Enlightenment shifted from Rococo to Neoclassicism and used their works to convey political messages.
Artists during the Enlightenment played a crucial role in spreading Enlightenment concepts and inspiring rational thinking. The dominant artistic style shifted from Rococo to Neoclassicism, focusing on clarity, logic, and order. Artists like Jacques-Louis David depicted themes of democracy and political statements in their works.
half of a number decreased by four
Can someone explain this math problem to me?
So, (7.14 x 10^10) + (3.21 x 10^10) equals 1.035 x 10^11, but what I'm stuck on, is how does 10^10 end up being 10^11?
Given problem is:
[tex](7.14\times10^{10})+(3.21\times10^{10})[/tex]
step by step solution:
we will add similar elements.
[tex]10^{10}(7.14+3.21)[/tex]
= [tex]10^{10} (10.35)[/tex]
Now converting [tex]10^{10}[/tex] in decimal form we get 10000000000 (10 zeroes)
Now multiplying 10.35 with 10000000000 we get 103500000000 (8 zeroes)
or we can change it to exponential form like [tex]1.035\times10^{11}[/tex]
11 because when you count from the extreme right end '0' and come counting to the left side, you skip 11 numbers till you reach the first number '1'. And when you put a decimal after 1st number, so the last '0' is at the 11th place, that is why it is [tex]10^{11}[/tex] .
they are 12 rows of tiles and 30 in each row how many titles does Maria use
What is the value of p in the equation 1/4 (8-4p)+2p=12
A polygon has an interior sum of 3060 degrees how many sides must the polygon have?
Solve each inequality.
1. [tex] \frac{1-7n}{5} [/tex] > 10
First multiply 5 on both sides to get rid of the five on the bottom.
[tex]\frac{1-7n}{5*5}[/tex][tex]>10*5[/tex]
[tex]1-7n>50[/tex]
Subtract 1 from both sides of the inequality.
[tex]1-1-7n>50-1[/tex]
[tex]-7n>49[/tex]
Divide -7 on both sides, and flip the inequality sign since we are dividing by a negative.
[tex]\frac{-7n}{7}[/tex][tex]>\frac{49}{-7}[/tex]
[tex]n<-7[/tex]
The solution to the inequality is n<-7.
[tex]Solution, \frac{1-7n}{5}>10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-7\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-7\right)\end{bmatrix}[/tex]
[tex]Steps:[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}5, \frac{5\left(1-7n\right)}{5}>10\cdot \:5[/tex]
[tex]\mathrm{Simplify}, 1-7n>50[/tex]
[tex]\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}, 1-7n-1>50-1[/tex]
[tex]\mathrm{Simplify}, -7n>49[/tex]
[tex]Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right), \left(-7n\right)\left(-1\right)<49\left(-1\right)[/tex]
[tex]\mathrm{Simplify}, 7n<-49[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}7, \frac{7n}{7}<\frac{-49}{7}[/tex]
[tex]\mathrm{Simplify}, n<-7[/tex]
The correct answer is n<-7
Hope This Helps!!!
A random sample produced the pie chart below. The chart gives percentages of students that under reported, accurately reported, and over reported their heights. If there are 2,500 students at the school, how many of them can you reasonably expect report their height accurately?
A. 500
B. 200
C. 50
D. 20
Answer:
The correct option is A.
Step-by-step explanation:
Total number of students at the school is 2,500.
In the given pi chart Pink, Yellow and Sky Blue color represent the percentage of students that under reported, accurately reported, and over reported their heights respectively.
From the graph we can conclude that the yellow portion is approximately one fifth of whole circle. It means the number of students that accurately reported their height is one fifth of total number of students.
[tex]2500\times \frac{1}{5}=500[/tex]
Therefore the number of students that accurately reported their height is 500. Option A is correct.
Answer:
Option A) 500
Step-by-step explanation:
We are given the following information:
Total number of students = 2500
From pie chart:
[tex]\text{Under Reported }= \displaystyle\frac{1}{5}\times 100\% = 20\%\\\text{Accurately Reported }= \displaystyle\frac{1}{5}\times 100\% = 20\%\\\text{Over Reported }= \displaystyle\frac{3}{5}\times 100\% = 60\%[/tex]
We have to find the number of students whose height were accurately reported =
[tex]\text{Number of students whose height were accurately reported }= \\\text{Number of students}\times \text{Percentage of students whose height were accurately reported}\\= 2500\times 20\%\\\\= 2500\times \displaystyle\frac{20}{100} = 2500\times \frac{20}{100} = 500[/tex]
500 students report their height accurately.
The slope of a line is 0. What do you know about the line?
Your answer (C, the line is vertical) is correct
Your line would have to be horizontal. A vertical line yields an undefined slope.
Slope is rise over run. For a horizontal line you would have 0 rise and X amount of run or 0/x. 0 divided by anything = 0
For a vertical line, you would have the opposite, X rise and 0 run or x/0. You cannot divide by 0. It is impossible.
Therefore, your answer is the second option.
A first number plus twice a second number is 1. Twice the first number plus the second totals 14. Find the numbers
Let's consider the first number to be [tex]f[/tex] and the second number to be [tex]s[/tex]. Based on the information in the problem, we can create the following equations:
[tex]f + 2s = 1[/tex]
[tex]2f + s = 14[/tex]
Now, we can solve the equations through systems of equations. One way of doing this is by multiplying one of the equations so that there is a term in both equations which can be removed by addition or subtraction. In our case, we can multiply the entire first equation by 2 to get:
[tex]2f + 4s = 2/tex]
[tex]2f + s = 14[/tex]
Now, subtract [tex]2f[/tex] from both equations to get:
[tex]3s = -12[/tex]
[tex]s = -4[/tex]
Now that we have found [tex]s[/tex], "plug" it back into an equation to find [tex]f[/tex]:
[tex]f + 2(-4) = 1[/tex]
[tex]f - 8 = 1[/tex]
[tex]f = 9[/tex]
Our answers are s = -4 and f = 9.
Hey there!!
Let's take the first number as ' x '
Let's take the second number as ' y '
First number + twice the second number is 1
x + 2y = 1 ------------ ( 1 )
Twice the second number + second number is 14.
2x + y = 14 ----------- ( 2 )
Now let's get them all together...
...................................................................................................................................................................
x + 2y = 1 --- ( 1 )
2x + y = 14 --- ( 2 )
Now, let's multiply the first equation with 2 ...
...................................................................................................................................................................
2x + 4y = 2 --- ( 1 )
2x + y = 14 --- ( 2 )
Now, let's subtract the second equation from the second...
...................................................................................................................................................................
2x + 4y = 2 --- ( 1 )
- ( 2x + y ) = - ( 14 )
...................................................................................................................................................................
2x + 4y = 2 --- ( 1 )
-2x - y = -14 --- ( 2 )
...................................................................................................................................................................
3y = -12
Divide by 3 on both sides...
y = -4
The second number is -4.
We have the first equation x + 2y = 1
We got the y value, now substitute the value of y to get the value of x
...................................................................................................................................................................
x + 2y = 1
x + 2 ( -4 ) = 1
x - 8 = 1
Add 8 on both sides
x = 9
Hence, the second number is 9.
...................................................................................................................................................................
Hope my answer helps!!