Answer: total sales $1260
Step-by-step explanation:
GIVEN
Base salary: $360
Additional salary: 1/6 of total sale
Total salary: $570
-------------------------------------------------------
Let x= the total sales
360+(1/6)x=570
Subtract 360 on both sides
(1/6)x=210
Divide 1/6 on both sides
x=210 ÷ (1/6)
Turn division of fraction into multiplying its reciprocal
x=210 × 6
Simplify
x=1260
Hope this helps!! :)
Please let me know if you have any question
Which of the following choices will evaluate the expression a2 + b when a = 2 and b = 3?
A. 7
B. 10
C. 25
D. None of these choices are correct.
Work Shown:
Replace every 'a' with 2, and replace every b with 3
a^2+b = 2^2 + 3 = 4 + 3 = 7
Find the limit. Please show all workings.
Answer:
[tex]\displaystyle \lim_{\Delta x \to 0} \frac{(x+\Delta x)^2-2(x+\Delta x)+1-(x^2-2x+1)}{\Delta x}=2x-2[/tex]
Step-by-step explanation:
We want to find the limit:
[tex]\displaystyle \lim_{\Delta x \to 0} \frac{(x+\Delta x)^2-2(x+\Delta x)+1-(x^2-2x+1)}{\Delta x}[/tex]
We can expand the numerator:
[tex]=\displaystyle \lim_{\Delta x \to 0} \frac{(x^2+2x\Delta x+\Delta x^2)+(-2x-2\Delta x)+1+(-x^2+2x-1)}{\Delta x}[/tex]
Simplify. Combine like terms:
[tex]\displaystyle \lim_{\Delta x\to 0} \frac{(x^2-x^2)+(-2x+2x)+(1-1)+(2x\Delta x+\Delta x^2-2\Delta x)}{y}[/tex]
The first three terms will cancel:
[tex]\displaystyle \lim_{\Delta x\to 0} \frac{2x\Delta x+\Delta x^2-2\Delta x}{\Delta x}[/tex]
Factor:
[tex]\displaystyle \lim_{\Delta x \to 0} \frac{\Delta x(2x+\Delta x-2)}{\Delta x}[/tex]
Cancel:
[tex]\displaystyle \lim_{\Delta x\to 0}2x+\Delta x-2[/tex]
Now, we can use direct substitution:
[tex]\displaystyle \begin{aligned} &\Rightarrow 2x+(0)-2\\ &=2x-2\end{aligned}[/tex]
Therefore:
[tex]\displaystyle \lim_{\Delta x \to 0} \frac{(x+\Delta x)^2-2(x+\Delta x)+1-(x^2-2x+1)}{\Delta x}=2x-2[/tex]
Answer:
2x-2
Step-by-step explanation:
let d = delta x
lim as d goes to 0 ( ( x+d)^2 - 2(x+d) +1 - ( x^2 -2x+1))/d
Expand the term in side the parentheses
( ( x+d)^2 - 2(x+d) +1 - ( x^2 -2x+1))
x^2 +2dx +d^2 -2x-2d+1 - x^2 +2x -1
Combine like terms
2dx +d^2 -2d
Replace
lim as d goes to 0 ( 2dx +d^2 -2d)/d
Factor out a d
lim as d goes to 0 d( 2x +d -2)/d
Cancel the d in the numerator and denominator
lim as d goes to 0 ( 2x +d -2)
Take the limit of each term as d goes to zero
2x +0-2
2x-2
Use h(x) = x2 +4 to find x when h(x) = 29.
Answer:
In this question the value of x is given 29 so put it in the equation to get answer
[tex]h(x) = {x}^{2} + 4[/tex]
put the value of x = 29 in the above equation
[tex]h(x) = {29}^{2} + 4[/tex]
so after solving this equation we get our answer
[tex]h(x)= 841 + 4[/tex]
[tex]h(x) = 845[/tex]
Hope it helps u mate
if u like leave a thank
Answer:
the variable x=12.5
Step-by-step explanation:
so first you will insert 29 to the equation
29= x2+4
now you subtract 4 from 29
29-4= 25
since you are multiplying you have to do the opposite operation which would be division so now divide 25 by 2
25/2
now insert your answer
h(12.5)=(12.5)2+4
h would be considered 2.32
If 9 is p present of 17 then p is a number between
Answer:
40% and 60%
╰(*°▽°*)╯
Step-by-step explanation:
60% of 17 is 10.2 making 40% and 60% the closest choice to 9
So, the answer would be 40% and 60%
╰(*°▽°*)╯
Answer: p lies between 50% and 55%
Step-by-step explanation: if 9 is p percent of 17, then p is a number between what numbers
9 is p percent of 17
Lets make the equation for the given statement
9 = p percent times 17
p percent is p /100
Lets solve for p
multiply both sides by 100
Divide both sides by 17
p= 52.9
Hence we say that p lies between 50% and 55%
|−12| = 12 True or False please help!!!!!
Answer:
yes
Step-by-step explanation:
|-12| = |12| they always equal to 12
Answer:
true
Step-by-step explanation:
when you put the 2 lines on the left and right side of a (negative) number, it instantly becomes a positive
what does n equal? 2=-9n+22-n
Answer:
n =2
Step-by-step explanation:
2=-9n+22-n
2 = -10n +22
-20 = -10n
n = 2
Step-by-step explanation:
Grouping like terms
9n+n=22-2
10n=20
Dividing through by 10
n=2
Find the volume of a box with a length of 5 cm, a width
of 5 cm, and a height of 10 cm.
Answer:
250 cm³
Step-by-step explanation:
The volume of a box will always be the value of multiplying its 3 dimensions. Since the dimensions of this box are 5, 5, and 10, the volume is:
[tex]5\cdot5\cdot10=250[/tex] cm³.
Hope this helped!
Answer:
250 cm^3
Step-by-step explanation:5x5x10
Choose all of the statements that correctly define the geometric term. 1)Two rays joined at the same end point form an angle.2) Intersecting lines that form right angles are parallel lines 3) A continuous section of the circumference of a circle is a circular arc. 4)Lines that never intersect or cross each other perpendicular. 5)A circle is the locus of all points a fixed distance from a given center point.
Answer:
67
Step-by-step explanation:
Answer:
Statements 1, 3, and 5
1) Two rays joined at the same end point form an angle.
3) A continuous section of the circumference of a circle is a circular arc.
5) A circle is the locus of all points a fixed distance from a given center point.
Step-by-step explanation:
Statement 2 is false because it says that intersecting lines that form right angles are parallel lines. Actually, intersecting lines that form right angles are perpendicular lines.
Statement 4 is false because it says that lines that never intersect of cross each other are perpendicular. Actually, lines that never intersect or cross each other are parallel.
What is the cost in dollars for the nails to build a fence 125 meters long if it requires 30 nails per meter? Assume that 40 nails are sold per box at a cost of $0.75 per box.
Answer: $70.50
Step-by-step explanation:
30npm x 125m = 3750 nails total
3750/40 = 93.75, meaning you will need 94 boxes to complete the fence
94x0.75= $70.50
The cost in dollars for the nails to build a fence 125 meters long will be $70.31.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
A fence is 125 meters long if it requires 30 nails per meter. Then the total number of the nail will be
⇒ 125 x 30
⇒ 3750 nails
Assume that 40 nails are sold per box. Then the total number of boxes of nail will be
⇒ 3750 / 40
⇒ 93.75 boxes
The cost of $0.75 per box. Then the total cost of nails will be
⇒ 93.75 x $0.75
⇒ $70.31
Then the cost in dollars for the nails to build a fence 125 meters long will be $70.31.
More about the Algebra link is given below.
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i don’t understand this at all please help
Answer:
You need 10 of those numbers to be whole numbers, decimals, or fractions (THESE ARE RATIONAL)
You need the other 10 of those numbers to radicals, or numbers similar to pi (THESE ARE IRRATIONAL)
Step-by-step explanation:
Use the key features of the polynomial f(x) = 6x^4 + 4x^3 - 5x^2 -2x + 1 to describe its end behavior. A. The left side continues up, and the right side continues up. B. The left side continues down, and the right side continues down. C. The left side continues up, and the right side continues down. D. The left side continues down, and the right side continues up.
Answer:
A. The left side continues up, and the right side continues up.
Step-by-step explanation:
f(x) = 6x^4 + 4x^3 - 5x^2 -2x + 1
The highest power will describe the end behavior
f(x) = 6x^4
Let x = -∞
f(-∞) = 6 * (-∞)^4 = 6* ∞ = ∞
As x goes to -∞ f(x) goes to ∞
Let x = ∞
f(∞) = 6 * (∞)^4 = 6* ∞ = ∞
As x goes to ∞ f(x) goes to ∞
On your first day of work you get 1 dollar on your second day you get 4 dollars on your third day you get 9 dollars on your fourth day you get 16 dollars.It continues for 30 days an then you receive a completion bonus of 500,000
Answer:
Step-by-step explanation:
How do you find a function for this story?
On your first day of work, you get $1. On your second day of work, you get $4. On your third day of work, you get $9. On your fourth day of work, you get $16. It continues this way for 30 days and then once you’ve completed the 30 days you receive a completion bonus of $500000.
No. of days Amount earned
1 1
2 4
3 9
4 16
. .
. .
. .
30 500,000
To find a function to the story
Let
No. of days = d
Amount earned = A
When,
d=1, A=1
d=2, A=4
d=3, A=9
d=4, A=16
It can be seen that amount earned is a square of the number of days
Therefore,
The function for the story is:
A=d^2
When d=30
A=30^2
=30*30
=900
Adding the total earnings for 30 days=$500,000
That is
1+4+9+16+25+36+49+64+81+100+121+144+169+196+225+256+289+324+361+400+441+484+529+576+625+676+729+784+841+900=500000
Ramona works in a clothing store where she earns a base salary of $140 per day plus 14% of her daily sales. She sold $600 in clothing on Saturday and $1200 in clothing on Sunday. How much did she earn over the two days?
Answer: $ 532
Step-by-step explanation:
Given: Ramona works in a clothing store where she earns a base salary of $140 per day plus 14% of her daily sales.
She sold $600 in clothing on Saturday and $1200 in clothing on Sunday.
To find : Earning in two days.
Total sales she did in 2 days = $600+$1200 = $1800
Then, her total earning for 2 days = 2 x( Base salary)+ 14% of (Total sales)
= 2 x ($140) + (0.14) ($1800)
= $(280+252)
= $ 532
Hence, she earned $ 532 over the 2 days.
Answer:
$532
Step-by-step explanation:
Ramona worked for two days. So she would have already earned $280.
And she also earns 14% of $600 from the first day, and 14% of 1200.
14/100 * 600/1 = 8400/100 = $84
14/100 * 1200/1 = 16800/100 = $168
$280 + $84 + 168 = $532
Altogether, Ramona earned $532 in the total of two days! Wow that's more money then I get per month lol.
Hope this helps :D
- Anna
please help I will mark you BRANLEST
please help me on this geometry!!!
Answer:
Solution : 29
Step-by-step explanation:
As this is an equilateral triangle all sides present are congruent.
3x + 8 = 5x - 6 = 2x + 15
3x + 8 = 5x - 6
- 2x = - 14,
x = 7
And hence one side length will be say 3(7) + 8 = 21 + 8 = 29 units. We can double check this solution by substituting x for other side lengths. Remember that all the side length have an equal measure.
5(7) - 6 = 35 - 6 = 29 ✓
2(7) + 15 = 14 + 15 = 29 ✓
n + m - a = d, solve for m
Answer:
Hey there!
n+m-a=d
m+n=d+a
m=-n+d+a
m=a+d-n
Hope this helps :)
Which is the mode for the data set?
-1, 0, 3, 4, 3, 1
-0.5
0.3
2
-1
Answer:
3Step-by-step explanation:
-1 appears once
0 appears once
3 appears twice
4 appears once
1 appears once
Answer: -1
Step-by-step explanation: -1
occurs the most.
please tell me the answers.......
Answer:
answer of question 28 is 8/13(D)
of the 60 questions, I got 80% right...How many questions did I get right?
6a+40=2a can someone help me with this work sheet?
Answer:
a = -10
Step-by-step explanation:
6a+40=2a
Subtract 6a from each side
6a-6a+40=2a-6a
40 = -4a
Divide each side by -4
40/-4 = -4a/-4
-10 = a
Apply
10. Fouster's Farms has 53 fruit trees on their land. Myrna's Farms has five
times as many fruit trees as Fouster's. A commercial farm has 500 fruit
trees. Which farm has the most fruit trees?
Answer:
myrna farm has 265 and the commercial farm 500
Step-by-step explanation:
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The farm that has the most fruit trees are commercial farm.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that Foster's Farms has 53 fruit trees on their land. Myrna's Farms has five times as many fruit trees as Foster's. Therefore, the number of trees on Myrna's farm is,
Number of trees on Myran's farm = 5 × Number of trees on Foster's farm
= 5 × 53
= 265 trees
Since the number of trees on Myran's farm and Foster's farm is 265 trees and 53 trees, respectively, while the number of trees on the commercial farm has 500 fruit trees.
Hence, The farm that has the most fruit trees are commercial farm.
Learn more about Multiplication here:
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What fraction shows this division problem? 7 ÷ 9 Fractions may be typed as improper fractions What fraction shows this division problem? 7 ÷ 9 Fractions may be typed as improper fractions
Answer:
The fraction is [tex]\frac{7}{9}[/tex].
Step-by-step explanation:
The division problem provided is:
7 ÷ 9
The fraction representing the division problem is:
[tex]7\div 9=\frac{7}{9}[/tex]
As the denominator is greater than the numerator the fraction cannot be converted into a mixed fraction.
Thus, the fraction is [tex]\frac{7}{9}[/tex].
Answer:
7/9
Step-by-step explanation:
The division problem is as follows:
7 ÷ 9
The fraction that represents the difficulty of division is:
7 ÷ 9=7/9
The fraction cannot be converted to a mixed fraction since the denominator is bigger than the numerator.
As a result, the fraction is 7/9.
Traveling at 65 miles per hour how many minutes rounded to the nearest whole number does it take to drive 126 miles from San Diego to Malibu
65 miles per hour / 60 minutes per hour = 1.083 miles per minute.
126 miles/ 1.083 miles per minute = 116.03 minutes
Rounded to nearest whole number = 116 minutes.
Answer:
116 minutes
Step-by-step explanation:
speed = distance/time
speed * time = distance
time = distance/speed
time = 126 miles / 65 mph
time = 126/65 hours
time = 126/65 hours * (60 minutes)/(1 hour) = 116 minutes
The test statistic for goodness of fit has a chi-square distribution with k - 1 degrees of freedom provided that the expected frequencies for all categories are
Answer:
The expected frequencies for all categories are at least 5.
Step-by-step explanation:
The chi-square goodness of fit test is useful when we have one categorical variable from a population. The test is used to determine whether the data collected are consistent with a hypothesized distribution.
The conditions required to use the chi-square goodness of fit test are:
The sample collected should be a simple random sampleCategorical variable can only be testedThe expected frequencies for all categories or levels are at least 5.The degrees of freedom of this test is:
d = k - 1
Here,
k = number of categories.
Thus, the expected frequencies for all categories are at least 5.
Before her shopping spree, Lemon owned 11 shirts. Then she bought some more and now she owns 33 of them. What is the ratio of shirts before the purchase to the total number of shirts after the purchase
Answer:
So the ratio of shirts before the purchase to the total number of shirts after the purchase is 1:3
Step-by-step explanation:
In this question we have to find the ratio of before and after so It will be written like this
Before : After
11: 33
Dividing both sides with 11
11/11:33/11
1: 3
So the ratio of shirts before the purchase to the total number of shirts after the purchase is 1:3
Which means that if we have total of 4 shirts then the number of shirts before the purchase were 1 and after the purchase were 4 meaning there are 3 new shirts in place for every single old shirt.
What does change and what does NOT change during a translation? *
Answer:
During a translation the location of a figure changes, but the orientation, area, and lengths between it's points do not.
Answer:
the size and the shape
Step-by-step explanation:
the volume of this cube is 8 cubic inches. what is the surface area of this cube
Answer:
Step-by-step explanation:
find the height, width, and length.
multiply them
V=lwh
or
V=Bh
B=lw
what is the answer to -19+66
Answer: Adding a negative is the same as subtracting, so we will subtract 19 from 66.
66 - 19 = 47
The answer to -19 + 66 is equal to 47.
A recipe calls for 2 cups of sugar, 2 eggs, 3 cups of flour, and 5 cups of milk. What is the ratio of sugar to flour?
Answer:
2 cups of sugar:3 cups of flour
Step-by-step explanation:
Because there are 2 cups of sugar and 3 cups of flour used, you can represent this with a ratio - 2 cups sugar:3 cups flour.
Because 2:3 cannot be reduced (it is in its simplest form), this is the final answer.
I need help answering this question
Answer:
55
Step-by-step explanation:
JL = JK + KL
84 = 3x+5 + 6x+7
Combine like terms
84 = 9x +12
Subtract 12 from each side
84-12 = 9x+12-12
72 = 9x
Divide by 9
72/9 = 9x/9
8 =x
We want KL
KL = 6x+7
6*8 +7
48+7
55