The skirt = s
The sweater is twice as much so 2s
The total sum has to equal or be less than $75
Inequality = s + 2s <=75
Simplify to 3s <= 75
Most the skirt can cost: solve for s:
3s <= 75
Divide both sides by 3
S <= 25
The most the skirt can cost is $25
Answer:
Inequality: s ≤ 25
Max skirt cost: $25
Step-by-step explanation:
s = skirt cost
x = sweater cost
Since the sweater costs twice as much as the skirt, an equation will look like this:
x = 2s
Since her budget is $75, that means she can spend $75 or less but not more, so another equation will look like this:
x + s ≤ 75
Plug 2s into the bottom equation
2s + s ≤ 75
Add up the terms
3s ≤ 75
Divide both sides by 3, the coefficient, to isolate s, the variable.
3s/3 ≤ 75/3
s ≤ 25
That means she can spend $25 or less on a skirt.
pls help !
hopefully you can read the whole thing :))
Answer:
answer is A
Step-by-step explanation:
option A is the answer
What is the value of x when y equals 66?
y=0.985897x+0.194185
Answer:
x = 66.74715005725
Step-by-step explanation:
First you bring over the added variable. 0.194185, and subtract it from 66. Then you divide your difference by 0.985897. This gives you 66.74715005725
Mrs. Funke has #40. At the market,she buys a dozen fillets of fish at 99k per dozen ,3stacks of vegetables at #1.25 each, 27 oranges at 7k each and 4.6kg of meat at #3.20 per kilogram
Funke has #18.65 LEFT, which was obtained by Subtracting her initial amount from amount spent.
SPENDING:
Total amount = #40
fish fillet = 99k /dozen
vegetable = 3 at #1.25 each
oranges = 27 at 7k each
meat = 4.6kg at #3.20 per kg
To obtain the amount Funke has left, we subtract the total amount of items she purchased from the total amount she has :
Total cost of :
Fish fillet, 1kg = 99K = #0.99
Vegetable, 3kg = 3 * 1.25 = #3.75
Oranges, 27 = 27 * 7 = #1.89
Meat, 4.6 = 4.6 * 3.20 = #14.72
TOTAL AMOUNT SPENT = (0.99 + 3.75 + 1.89 + 14.72) = #21.35
AMOUNT SHE HAS LEFT :
(INITIAL AMOUNT - TOTAL AMOUNT SPENT)
= #40 - #21.35
= #18. 65
Therefore, the amount Funke has left after making the above purchases is #18.65
Learn more about subtraction word problem :
https://brainly.com/question/16479511
a principal of $1500 is invested at 5.5 interest compounded annually. how much will the investment be worth after 7 years
Answer:
Step-by-step explanation:
1500(1.055)^7= 2182.02
I am smaller than 7 and I have two decimal places. I am 7 when rounded to the nearest whole number. The digit in the tenths places is an even number. The digit in the hundredths places is greatest 1 -digit odd number. None of my digits are repeated. What number am I ?
Answer:
6.89
Step-by-step explanation:
Well, the number is smaller than 7 so it's 6 or less.
It's 7 when rounded up so it's got to be 6.__
The digit after 6 has to be even and has to be larger than 5 so it's either 6 or 8
The hundredths place digit is the greatest 1-digit odd number which is 9.
6.69 or 6.89 but since none of the digits can be repeated, it's 6.89
Answer:
555
Step-by-step explanation:
hope it may be help you
Q4.B/ Evaluate the integral
Answer:
answer 6
Step-by-step explanation:
It has been a long time that i have done that!
[tex]\int\limits^3_2 {\int\limits^2_0 {(4-y^2)} \, dy} \, dx \\\\\\=\int\limits^3_0 {(4-y^2)} \, dy*(2-0)\\\\=2*[4y-\dfrac{y^3}{3} ]^3_0\\\\=2*(12-9)\\\\=6\\[/tex]
The area of triangle ABC is _____. A 60 B65 C130 D150
The answer choices are supplementary, complimentary, and right. Help pls
Answer:
Supplementary
Step-by-step explanation:
When two positive angles form a linear pair, meaning a straight line, they are supplementary.
A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be cx dollars per year, while her rent will be 4c x 1 dollars per year, where c is a constant taking various situational factors into account. How far should she live from work to minimize her combined expenses for rent and transportation
Answer:
Combined cost C(x) = cx + 4c/(x+1)
minimum C(x) ==> C '(x) = 0
==> c - 4c/(x+1)2 = 0
==> 4c/(x+1)2 = c
==> (x+1)2 = 4
==> x +1 = 2
==> x = 1 mile
Hence she should live 1 mile from work to minimise comined costs.
Step-by-step explanation:
Can someone please help !
In functions; transformations are used to move lines, points, curves or shapes across the graph (i.e. up, down, right or left). After the transformation of [tex]f(x) = \log\ x[/tex], the resulting function is [tex]g(x) = 2\log\ (-x + 4) - 6[/tex]
Given that:
[tex]f(x) = \log\ x[/tex]
When translated 4 units left, the rule of translation is:
[tex](x,y) \to (x + 4,y)[/tex]
So, we have:
[tex]f'(x) = \log\ (x + 4)[/tex]
When translated 3 units down, the rule of translation is:
[tex](x,y) \to (x,y-3)[/tex]
So, we have:
[tex]f"(x) = \log\ (x + 4) - 3[/tex]
When reflected about the y-axis, the rule of reflection is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]f'"(x) = \log\ (-x + 4) - 3\\[/tex]
Lastly, when it is vertically stretched by 2; the rule is:
[tex](x,y) \to (x,2y)[/tex]
So, we have:
[tex]g(x) = 2[\log\ (-x + 4) - 3][/tex]
Open bracket
[tex]g(x) = 2\log\ (-x + 4) - 6[/tex]
See attachment for the graph of function f(x) and the new function g(x)
Read more about function transformations at:
https://brainly.com/question/24369847
From a cuboidal cardboard box of dimensions 80cm×40cm×15cm,6 circles of radius 7 cm were cut from the front face.Find the surface area of remaining box.
Answer:
9076 cm²
Hope my answer helped you
PLSSS HELP HERES IMAGEEE
[tex]\text{(H, A and S), (Y, D and T) and (H, D and S)}[/tex]
I need help comparing fractions
Answer:
6/9 and 10/15
Step-by-step explanation:
they're both 2/3
Activity Convert these mililitres to litres. a. 1436 ml
1436 ml
= 1.436 l
( divide by 1000)
Answer:
1,436L ,......................
If 2 variables have a negative correlation, then the slope of the line of best fit will be ______.
Help plz last question
Answer:
224π in^2
Step-by-step explanation:
Just plug in the values,
Surface area=2πr(h+r) [Factoring]
r=7in
h=9in
2πr(h+r)=2π*7(9+7)=14π(16)=224π in^2
Please Help Me!!!! Will Give Points Out (WORTH 20 POINTS)
Answer: CHoose
option c
Which statement is most likely to be true for this distribution?
:
:
OOO
Doo
Ooo
oooo
OOOO
HE
O A. The mean is less than the median.
B. The mean is the same as the median.
C. The mean is greater than the median.
Step-by-step explanation:
. The mean is less than the median.
The statement that is most likely correct for the negatively skewed data distribution given is: B. The mean is less than the median.
What is a Negatively Skewed Data Distribution?A negatively skewed data distribution has the tail to the left of the number line, and therefore its median is usually greater than its mean.
Negative skewed: Mean < Median < Mode
No skewed: Mean = Median = Mode
Positive skewed: Mean > Median > Mode
The dot plot shows a data distribution that is negatively skewed. Therefore, the statement that is most likely to be true is: B. The mean is less than the median.
Learn more about a negatively skewed data distribution on:
brainly.com/question/20378699
#SPJ2
Solve for x
X=In sqrt e
Step-by-step explanation:
e = 2.7182818 so you can just plug that in to your calculator and solve like normal
Look at photo and answer.
Answer:
h.
[tex] \frac{9 {x}^{10}(y. {x}^{3}) {}^{2} }{y.x(3 {x}^{3}) {}^{3} } \\ \\ = \frac{9 {x}^{10}(y {}^{2} )( {x}^{6} ) }{3y. {x}^{10} } \\ \\ = \frac{ {3}^{2} {x}^{16} {y}^{2} }{3y {x}^{10} } \\ \\ = 3y {x}^{6} [/tex]
j.
[tex] \frac{(3x. {y}^{7} ) {}^{2}. {x}^{5} }{3 {x}^{7} {y}^{4} } \\ \\ = \frac{3 {x}^{2} . {y}^{14} . {x}^{5} }{3 {x}^{7} {y}^{4} } \\ \\ = \frac{ {3x}^{7} {y}^{14} }{3 {x}^{7} {y}^{4} } \\ \\ = {y}^{10} [/tex]
Mike has 18 goldfish and 24 silver fish in his aquarium what is the ratio of silverfish to total fish in the aquarium aquarium
Answer:
4:7
Step-by-step explanation:
18+24=total number of fish=42
silver fish amount= 24
therefore, ratio is 24:42=12:21=4:7
1. 3m into cmcube fi. 15m into liter please urgent
Answer:
3m=300cm.
15cubi(m)=15,000liter
Step-by-step explanation:
[1m=100cm]
[1cubic(m)=1000liters]
Find the value of x.
A. 6
B. 3
C. 5
D. 2
[tex]\\ \sf\longmapsto \dfrac{AK}{DK}=\dfrac{CK}{BK}[/tex]
[tex]\\ \sf\longmapsto \dfrac{14}{12}=\dfrac{4x+1}{3x+3}[/tex]
[tex]\\ \sf\longmapsto \dfrac{7}{6}=\dfrac{4x+1}{3x+3}[/tex]
[tex]\\ \sf\longmapsto 7(3x+3)=6(4x+1)[/tex]
[tex]\\ \sf\longmapsto 21x+21=24x+6[/tex]
[tex]\\ \sf\longmapsto 24x-21x=21-6[/tex]
[tex]\\ \sf\longmapsto 3x=15[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{15}{3}[/tex]
[tex]\\ \sf\longmapsto x=5[/tex]
The sum of two numbers is is 49 and the difference between these two numbers is 9 what are these two numbers please show the workout
Step-by-step explanation:
x=29
y=20
that's the answer
Simplify, write without exponents.
[tex]2*4^{2} *(128\frac{1}{4})[/tex]
[tex]_\sqrt[_]{_}[/tex]
a.) 8
b.) 20
c.) 2
d.) 64
e.) 4
f.) 16
it is helpful to you
HELP meeee plllzzzz !!!!!!!!!!!!!!!
Answer:
-3
the blue dot on the no line represent -3
Find the area of the shape below
Answer:
The shape could be divided into a rectangle and a trapezoid.
b= 9-(5+2)
b= 2
Area= [tex](3.5\times 9)+1/2(b_1+b_2)h[/tex]
[tex]= [31.5+1/2(9+2)(2)] \:units^{2}[/tex]
[tex]=42.5\ units^{2}[/tex]
OAmalOHopeO
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 16
and BC = 8, what is the length of DC? (Note: the figure is not drawn to scale.)
Answer:
4
Step-by-step explanation:
BC²=AC × DC
or, 8²=16×DC
or, DC = 64/16
or, DC = 4
In a health club, research shows that on average, patrons spend an average of 46.2 minutes
on the treadmill, with a standard deviation of 4.8 minutes. It is assumed that this is a normally
distributed variable. Find the probability that randomly selected individual would spent
between 30 and 40 minutes on the treadmill.
As the problem states, the variable has a normal distribution, and thus, concepts of this distribution are used to solve this question.
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In a health club, research shows that on average, patrons spend an average of 46.2 minutes on the treadmill, with a standard deviation of 4.8 minutes.
This means that [tex]\mu = 46.2, \sigma = 4.8[/tex]
Find the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.
This is the p-value of Z when X = 40 subtracted by the p-value of Z when X = 30.
X = 40
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{40 - 46.2}{4.8}[/tex]
[tex]Z = -1.29[/tex]
[tex]Z = -1.29[/tex] has a p-value of 0.0985
X = 30
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30 - 46.2}{4.8}[/tex]
[tex]Z = -3.38[/tex]
[tex]Z = -3.38[/tex] has a p-value of 0.0004.
0.0985 - 0.0004 = 0.0981
Thus, 0.0981 = 9.81% probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.
For another example of the normal distribution, you can check https://brainly.com/question/15181104.
A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 70 and a standard deviation of 10.How many different samples of size 5 can be taken from a finite population of size 10?
252 different samples can be taken.
-------------------------
The order in which the people are chosen is not important, which means that the combinations formula is used to solve this question.
-------------------------
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
-------------------------
In this question, samples of 5 from a set of 10, so:
[tex]C_{10,5} = \frac{10!}{5!5!} = 252[/tex]
252 different samples can be taken.
A similar question is given at https://brainly.com/question/24278448
