Answer:
$35,000
Step-by-step explanation:
Given data
Fixed salary= $2,500
Commission= 10%
Sandy wants to earn $6,000 this month
Let the total earning be y and the sales be x
Therefore the expression for Sandy's earning is given as
y=2500+0.1x---------------1
when y= $6,000
substitute in 1 and solve for x
6000=2500+0.1x
6000-2500=0.1x
3500=0.1x
x= 3500/0.1
x= $35,000
Hence the amount of sales will be $35,000
6 members each swam 1,685 meters during the season; how many total kilometers did the 6 members swim during the season
Answer:
10.110 km
Step-by-step explanation:
1000 meter = 1 kilometre
Since we are to provide the answer in kilometres, we have to convert the meters to kilometres
1685 m = 1685/1000 = 1.685km
Total kilometres swan by the 6 members = 1.685km x 6 = 10.110 km
Method 2
1.685km + 1.685km + 1.685km + 1.685km + 1.685km + 1.685km = 10.110km
please answer thanks xoxo will mark brainliest
Answer:
22) 20000000
23) 0.034
24) 0.0000000015
25) 59000000000
26) 0.0048
27) 625000
Step-by-step explanation:
Factor the expression using the GCF. 24-9
plzz help this is due today!!
Answer:
x=45
Step-by-step explanation:
First, this figure takes place half of the circle. So we are dealing with a semi circle.
Angle C is inscribed angle in the semi circle. A semi circle measure 180 degrees. Since Angle C is inscribed, It measures 90 degrees.
This theorem proves this
If an angle is inscribed in a semicircle, it will be half the measure of a semicircle (180 degrees), therefore measuring 90 degrees.
Solve for x
[tex]2x = 90[/tex]
[tex]x = 45[/tex]
4. Find the coordinates in the table after a translation 3 units right and 4 units down followed by a reflection over the x-axis. (show the notation for each transformation)
Aliza reads 9 pages of a book in 1/3 hour. It takes her the same length of time to read each page. How many pages does Aliza read in an hour?
Answer:
27 pages in 1 hour
Step-by-step explanation:
9*3 = 27
Jonathan has $3,500. He deposited part of the money in his savings account and part in his checking account. If the amount he deposited into his savings account is $800 more than twice the amount he deposited into his checking account, how much did he deposit into his checking account?
Answer:
$900
Step-by-step explanation:
the steps are above
How many equal sections divide a directed line segment if it is to be partitioned with a 2:7 ratio? 2, the least number given in the ratio
2, the least number given in the ratio
14, the least common multiple of the numbers given in the ratio
9, the sum of the numbers given in the ratio
5, the difference of the numbers given in the ratio
7, the greatest number given in the ratio
9514 1404 393
Answer:
9, the sum of the numbers given in the ratio
Step-by-step explanation:
The reduced ratio 2 : 7 means that two parts correspond to one length and 7 parts correspond to the other length. That is, there are a total of 2+7 = 9 parts in the full length of the segment.
It is convenient to think of the line segment as being divided into 9 equal parts.
_____
Additional comments
It is often helpful to consider the total number of "ratio units" in a given ratio. For example, in this problem, the shorter segment is 2/9 of the whole, and the longer one is 7/9 of the whole.
It can also be useful to consider what a "ratio unit" represents. If the whole segment is 27 inches long, then each of the 9 ratio units will represent 3 inches, for example. This means the division 2:7 is 2(3 in):7(3 in) = 6 in : 21 in.
50 points and Ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)
2 pages with work
Answer:
1) (x + 12)²+(y+6)²= 28
comparing above equation with(x-h)²+(y-k)²=r²
we get
r=√28
h=-12
k=-6
;.centre=(-12,-6)
radius =√28 units
2) x²+(y+7)²=15
comparing above equation with(x-h)²+(y-k)²=r²
we get
r=√15
h=0
k=-7
;.centre=(0,-7)
radius=√15 units
3) (x + 4)²+(y - 1)² = 4
comparing above equation with(x-h)²+(y-k)²=r²
we get
r=√4=2units
h=-4
k=1
;.centre=(-4,1)
radius=√2units
4) (x+3)²+(y-1)²= 8
comparing above equation with(x-h)²+(y-k)²=r²
we get
r=√8=2√2units
h=-3
k=1
;.centre=(-3,1)
radius=2√2units
Solve (s−9)(s−1)=0. how do I solve this equation
Answer:
Step-by-step explanation:
Can someone help me solve this and put the things in order i dont know what to do-
Hi, I believe this should be correct. The way the boxes are phrased is very misleading.
pls help with the very last question
Answer:
A for the first one, B for the second one, and i think B for the third.
Step-by-step explanation:
Tell which method you used plz 4x^2-15=66
Answer:
x = ±4.5
Step-by-step explanation:
4x² - 15 = 66
Add 15 to both sides.
4x² = 81
Divide both sides by 4.
x² = 20.25
Take the square root of both sides.
x = ±4.5
Hope this helps!
5E. Given ▲ABC with vertices A(2, -1), B(5, 6), and C(-1, 4) as shown. Find the number of square units in the area of ▲ABC in the simplest form.
Answer:
Area = 18 square units
Step-by-step explanation:
Given
[tex]A =(2,-1)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]B =(5,6)[/tex] --- [tex](x_2,y_2)[/tex]
[tex]C = (-1,4)[/tex] --- [tex](x_3,y_3)[/tex]
Required
The area of the triangle
This is calculated as:
[tex]Area = \frac{1}{2}|x_1(y_2 - y_3) + x_2(y_3 - y_1) +x_3(y_1 - y_2)|[/tex]
[tex]Area = \frac{1}{2} * |2(6 - 4) + 5(4 - -1) -1(-1 -6)|[/tex]
[tex]Area = \frac{1}{2} * |2*2 + 5*5 -1*-7|[/tex]
[tex]Area = \frac{1}{2} * |36|[/tex]
[tex]Area = \frac{1}{2} * 36[/tex]
Area = 18 square units
Any help?? I’ve tried this for a hour and couldn’t figure anything out
Answer:
3. PR=51
4. FE=28
Step-by-step explanation:
3. since the two triangles are similar, set up a proportion:
x+8/3x-9=24/28
*cross multiply*:
28(x+8)=24(3x-9)
28x+224=72x-216
44x=440
x=20
to find PR:
PR=3x-9
PR=3(20)-9
PR=51
4. same here:
39/4x+2=42/5x-2
39(5x-2)=42(4x+2)
195x-78=168x+84
27x=162
x=6
to find FE:
FE=5x-2
FE=5(6)-2
FE=28
Find the measure of angle C.
B (110°
30°
A
Explanation is in the file
tinyurl.com/wpazsebu
The equations of four lines are given. Identify which lines are parallel.
Line 1: y=−6x+8
Line 2: x+1/2y=−1
Line 3: y=−2x+6
Line 4: y−5=−1/6(x−2)
what is the Coefficient in
3x + 7
Answer:
The coefficient is 3.
Step-by-step explanation:
The coefficient is always the number next to the unknown or in this case, x
Please answer I’ll make brainliest
Question:
In triangle FGH, the measure of angle H = 90°, HG = 48, FH = 55, and GF = 73. What ratio represents the tangent of angle G?
___________________________________________________
Solution:
The triangle FGH should look like that in the attachment.
Tangent of angle G = opposite side/adjacent side
= FH/HG
= 55/48
Find the missing side length for x.
Answer:
x = 6
Step-by-step explanation:
4/12 = x/18
72 = 12x
x = 6
If the given figure was folded into a
square pyramid, determine its lateral surface area.
A. 150cm2
B. 1,470cm2
C. 840cm2
D. 616cm2
E. 420cm2
Answer:
the answer is c.840
Step-by-step explanation:
you multiply 15 4 times and multiply it with 14 that would give us 840
if the GCF is factored out of both terms in the expression 24x + 36y, what is the equivalent expression?
I’m just confused about factoring out the GCF
Sophie is buying 3 outfits (shirt and shorts) to wear to volleyball practice. The shirts are $10.00 each, and the total cost is $64.50.
How much did each pair of shorts cost?
Enter your answer as a decimal, like this: 42.53
Answer:
$11.5
Step-by-step explanation:
Subtract 30 from 64.50 to get rid of the cost of shirts. (3 shirts costing 10 dollars) to get 34.50. DIvide 34.50 by 3 for the number of shorts. Your final answer is 11.5
.
Find the y-intercept of y - x = 7.
Account A: $300 monthly deposits, interest rate is 4.2%. Account B: $250 monthly deposits, interest rate is 5.1%. Which account will have a greater value at the end of 15 years?
a. Account A will be greater than Account B.
b. Account B will be greater because the interest rate is higher.
c. They will be worth about the same.
d. Not enough information.
Answer:
A
Step-by-step explanation:
We have to determine the future value of the annuity to determine which account has a greater value
Future value = Amount x annuity factor
annuity factor = Annuity factor = {[(1+r)^n] - 1} / r
Account A = 300 x[ (1.042)^15 - 1 ] / 0.042 = $6097.14
Account B = 250 x[ (1.051)^15 - 1 ] / 0.051 = $5435,42
Account A will be greater
Solve the system of equations by multiplying first. Enter the solution as an ordered pair.
x + 3y = -13
4x + 4y = -12
The solution is
Given:
The system of equations is:
[tex]x+3y=-13[/tex]
[tex]4x+4y=-12[/tex]
To find:
The solution for the given system of equations.
Solution:
We have,
[tex]x+3y=-13[/tex] ..(i)
[tex]4x+4y=-12[/tex] ...(ii)
Multiply equation (i) by 4, to make common coefficient of x.
[tex]4x+12y=-52[/tex] ..(iii)
Subtract (ii) from (iii).
[tex]4x+12y-4x-4y=-52-(-12)[/tex]
[tex]8y=-40[/tex]
[tex]y=\dfrac{-40}{8}[/tex]
[tex]y=-5[/tex]
Putting [tex]y=-5[/tex] in (i), we get
[tex]x+3(-5)=-13[/tex]
[tex]x-15=-13[/tex]
[tex]x=-13+15[/tex]
[tex]x=2[/tex]
Therefore, the solution of the given system of equations is [tex]x=2,y=-5[/tex].
The wait time for your local pizzeria to deliver food is normally distributed with µ = 40 minutes and σ = 3.5. What is the probability the next pizza delivery will take over 47 minutes? 2.15% 13.6% 2.28% 4.56%
Answer:
2.28%
Step-by-step explanation:
Given that:
µ = 40 minutes ; σ = 3.5.
x = > 47 minutes
Obtain the standardized score, Z
Zscore = (x - μ) / σ
P(x > 47) = (47 - 40) / 3.5
P(x > 47) = 7 / 3.5
P(x > 47) = 2
P(z > 2) = 0.02275
Hence, Probability that next pizza delivery takes over 47 minutes is 0.02275 = 2.275% = 2.28%
Final Answer is: 2.28%
I got it right when I did it! :)
Ginny paid $4.16 for a sandwich. She paid$0.95 for a piece of fruit. What is the total amount Ginny paid for the sandwich and fruit?
Answer:
$5.11
Step-by-step explanation:
4.16 + 0.95 = 5.11
someone please help.
A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of cartons is periodically selected and weighed to determine whether underfilling or overfilling is occurring. If the sample data lead to a conclusion of underfilling or overfilling (in other words, if they lead to a conclusion that the mean weight is different from 32 ounces), the production line will be shut down and adjusted to obtain proper filling. What conclusion is appropriate when H0 cannot be rejected
Answer:
There is no significant evidence to conclude that the mean weight of laundry detergent is being underfilled or overfilled.
Step-by-step explanation:
The null hypothesis ; H0 : μ = 32
The alternative hypothesis : H1 : μ ≠ 32
The null hypothesis is the initial truth statement, therefore, when the Null hypothesis cannot be rejected, the conclusion goes thus :
There is no significant evidence to conclude that there is difference in the mean weight of laundry detergent. Hence, detergent is neither being underfilled or overfilled.