Using proportions, it is found that the total cost of gasoline and rental for the trip is of $253.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the total cost is composed by:
The rental fee of $99.The gasoline cost, of $3.85 per gallon, considering that 1200/30 = 40 gallons were used.Hence, the total cost is given by:
C = $3.85 x 40 + $99 = $253.
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Answer:
C = $3.85 x 40 + $99 = $253.
Step-by-step explanation:
I took the test
Suppose the sales tax in your town is 4%. What are the interpretations of this ratio?
Select all that apply.
DA. You will pay $40 in sales tax for every $1,000 purchase.
B. You will pay $4 in sales tax for every $10 purchase.
c. You will pay 40 cents in sales tax for every $1 purchase.
D. You will pay $4 in sales tax for every $1,000 purchase.
E. You will pay 4 cents in sales tax for every $1 purchase.
F. You will pay $40 in sales tax for every $100 purchase.
G. You will pay 4 cents in sales tax for every $10 purchase.
H. You will pay 40 cents in sales tax for every $10 purchase.
Answer:
A) {DA???} 0.04x1000=40. Yes
B) 0.4x10 is 4, NOT 0.04. No
C)0.4x1 is 0.4, NOT 0.04. No
D) No
E) Yes
F) No
G) Yes
H) No
Steven is 42 inches tall. On average he grows at a rate of 5.5% each year. How tall will
Steven be in 3 years?
Answer:
about 49.3 inches
Step-by-step explanation:
[tex]42 \times {1.055}^{3} = 49.318[/tex]
Use the graph of the rational function to complete the following statement.
Using the graph of the function, it is found that the lateral limits of the function are as follows:
As [tex]x \rightarrow 1^{+}[/tex], [tex]f(x) \rightarrow -\infty[/tex].As [tex]x \rightarrow 1^{-}[/tex], [tex]f(x) \rightarrow \infty[/tex].What are the lateral limits of the function at x = 1?For [tex]x \rightarrow 1^{+}[/tex], we look at the values slightly greater than 1, that is, to the right of x = 1, for which the function goes to negative infinity, hence [tex]f(x) \rightarrow -\infty[/tex].
For [tex]x \rightarrow 1^{-}[/tex], we look at the values slightly less than 1, that is, to the left of x = 1, for which the function goes to infinity, hence [tex]f(x) \rightarrow \infty[/tex].
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The management of a restaurant has been studying whether or not new customers return within a month. The collected data reveal that 60% of the new customers have returned. If 90 new customers dine at the restaurant this month, what is the probability that at least 60 will return next month? Use Normal approximation to Binomial distribution.
Using the normal approximation to the binomial, it is found that there is a 0.119 = 11.9% probability that at least 60 will return next month.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].In this problem, we have that:
60% of the new customers have returned, hence p = 0.6.90 new customers dine at the restaurant this month, hence n = 90.Thus, the mean and the standard error for the approximation are given as follows:
[tex]\mu = np = 90(0.6) = 54[/tex][tex]\sigma = \sqrt{np(1-p)} = \sqrt{90(0.6)(0.4)} = 4.6476[/tex]Using continuity correction, the probability that at least 60 will return next month is P(X > 60 - 0.5) = P(X > 59.5), which is 1 subtracted by the p-value of Z when X = 59.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{59.5 - 54}{4.6476}[/tex]
Z = 1.18
Z = 1.18 has a p-value of 0.881.
1 - 0.881 = 0.119.
0.119 = 11.9% probability that at least 60 will return next month.
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At Gumdrops Galore candy store, Gina and her sister each fill a bag with gumdrops. Gina's bag of black gumdrops weighs 1 4 of a pound. Gina pays for both her gumdrops and her sister's red gumdrops. In all, Gina buys 3 8 of a pound of gumdrops. She wants to know how much her sister's red gumdrops weigh. Use an equation to find the weight of her sister's red gumdrops.
Answer:
1/8 of a pound
Step-by-step explanation:
Gina's bag of gumdrops : 1/4 of a pound
Gina's + sister's bag of gumdrops : 3/8 of a pound
To find how much her sister's gumdrops weighed, you will have to subtract fractions.
Equation : 3/8 - 1/4 or 3/8 - 2/8
To subtract, you need to make sure the denominators are the same.
1 × 2
------- = 2/8
4 × 2
Now, you can subtract. Subtract the numerators.
3/8 - 2/8 = 1/8
So, Gina's sister's red gumdrops weigh 1/8 of a pound.
Hope this helped !
Gina's sister's red gumdrops weigh 1/8 of a pound.
How to determine the weight of Gina's sister's red gumdropsLet's use an equation to find the weight of Gina's sister's red gumdrops.
Let x be the weight of Gina's sister's red gumdrops in pounds.
According to the information given:
Gina's bag of black gumdrops weighs 1/4 pound.
Gina pays for both her gumdrops and her sister's red gumdrops, totaling 3/8 pound of gumdrops.
Weight of Gina's gumdrops (black gumdrops) + Weight of sister's gumdrops (red gumdrops) = Total weight of gumdrops purchased
1/4 + x = 3/8
Solve for x
x = 3/8 - 1/4
To subtract fractions, we need a common denominator, which is 8:
x = (3/8) - (2/8)
x = 1/8
Therefore, Gina's sister's red gumdrops weigh 1/8 of a pound.
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Find the distance between the two points.
(-3,2)
(0,0)
✓ [?]
Enter the number that
goes beneath the
radical symbol.
Answer:
√13
Step-by-step explanation:
Plug into Distance formula --> √(0-(-3))^2 + (0-2)^2
---> √13
angle 1- what degree
Answer:
22 degrees
Step-by-step explanation:
The two bottom sides have the same angle which is 79 and all the angles must add up to 180, so 79 plus 79 is 158 and 180 minus 158 is 22.
Hope this helps.
BTW it's my birthday
Answer:
25°
Step-by-step explanation:
Exterior angle property of triangle:
Exterior angle of a triangle equals the sum of oppositer interior angles.
∠1 + 79 = 104
Subtract 79 from both sides
∠1 = 104 - 79
∠1 = 25°
Pleasez help i have to complete this by the end of the 10 min
Answer:
Step-by-step explanation:
red shirt: 10%
green shirt: 20%
not choosing white 10%
not chosing black 20%
where orange shirt???
The numbers represented by points w, x and y on the number line are integers.
Under which of the following conditions could the expression, x > 2, be true? Select all that apply.
Answer:
Option A) when y=6 and w= 2, Option B) when y=4 and w=-1 are the TWO correct choices.
Step-by-step explanation:
Step-by-step explanation:
https://brainly.com/question/14500266
What’s the answer????
Answer:
the last one I think. number 4
Answer: The last one
Step-by-step explanation:
It's not required by law
You have to pay $2000 on your own
It can definitely be over $500
It's a yearly amount
What is 25.4 x 10 to the 4th power?
Answer:
254,000
Step-by-step explanation:
What is 25.4 x 10 to the 4th power?
Translate:
25.4 * 10⁴
25.4 * 10,000
When multiplying numbers by 10s, 100s, 1,000s, and so on, all you have to do is move the decimals left (for dividing) or right (for multiplying). The number of spaces you move the decimal is based on the number of zeros following the 1. For example, *100 means moving the decimal two times to the right, and /100 means moving the decimal two places to the left. No calculator is really needed.Here, we will be moving the decimal four times to the right:
25.4 * 10,000
254,000
Note: if you're not sure, you can always use a calculator to double check :)
Hope this helps!
if you will solve this math 50 point + brainlists=
5+6+6+83+15×53____84
Answer:
5+6+6+83+15×53=895
I hope it helps ty if yes pls make me brainliest take care
6 + 6 = 12
5+15 = 20
53x83= 4399
4399+32=4431
4431- 84 =4,347
please make me brainalist and keep smiling dude I hope you will be satisfied with my answer is updated
and you have asked me to help please tell me
Find the circumference of a circle whose area is equal to 64π^2
Answer:
14 6/7 is the circumference
Step-by-step explanation:
you first of all look for the radius using the formulae multiply both sides by the reciprocal of 22/7
7/22 ×22/7r=64×7/22=224/11{2 4/11)
2 4/11 is the radius
cir =2×22/7×2 4/11
2×22/7× 26/11=104/7
==== =14 6/7
all i can do but am not sure sorry
can someone help with this pls:)!!!!
Answer:
-8.5
Step-by-step explanation:
no step involved just trace 2 out from y-axis
Question Number 16 You are the head seamstress at a boutique that specializes in making prom dresses. You are supervising the construction of a new style of dress that will take 180 hours of work to complete. Twenty percent of this time is for beading. Thirty-five percent of this time is for adding ruffles. The remaining time is divided equally between embroidery and sewing. When pricing this style, hourly labor and material costs are $40 for beading, $35 for ruffles, $20 for embroidery, and $18 for sewing. The dress is then sold in the showroom for 25% more than the cost of labor and materials. How much will this dress sell for in the boutique?
This dress will be sold in the boutique for $6,716.25.
Price calculationGiven that a new style of dress will take 180 hours of work to complete, and twenty percent of this time is for beading, thirty-five percent of this time is for adding ruffles, and the remaining time is divided equally between embroidery and sewing, and when pricing this style, hourly labor and material costs are $40 for beading, $35 for ruffles, $20 for embroidery, and $18 for sewing, and the dress is then sold in the showroom for 25% more than the cost of labor and materials, To determine how much this dress will sell for in the boutique, the following calculation must be made:
(((180 x 0.25) x 40) + ((180 x 0.35) x 35) + ((180 x 0.20) x 20) + ((180 x 0.20) x 18)) x 1.25 = X((45 x 40) + (63 x 35) + (36 x 20) + (36 x 18)) x 1.25 = X(1800 + 2205 + 720 + 648) x 1.25 = X5373 x 1.25 = X6,716.25 = XTherefore, this dress will be sold in the boutique for $6,716.25.
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Answer:
This dress will be sold in the boutique for $6,716.25.
Step-by-step explanation:
un classeur contient des feuilles de couleurs différents les deux tiers des feuilles sont blanches le un sixieme des feuilles sont bleues et 12 feuilles restantes sont jaunes determiner le nombre des feuilles dans le classeur
Answer:
Step-by-step explanation:
bonjour :
soit x le nombre des feuilles dans le classeur
les deux tiers des feuilles sont blanches veut dire : (2/ 3)x
un sixieme des feuilles sont bleues veut dire : (1/6)x
on compose cette équation : (2/ 3)x + (1/6)x +12 = x
rsolvont cette équation : multiplions les deux membres par : 6
4x+x+72 =6x
4x-6x+x+72=6x-6x
-x+72=0
x=72
verification :(2/3)(72)+(1/6)(72)+12=144/3 +72/6 +12 =48+12+12=72
What is 9C7 ?
A. 66
B. 55
C. 45
D. 36
Answer:
D. 36
Step-by-step explanation:
The formula for a combination :
ⁿCₓ = n! / (n - x)! x!Here we have ⁹C₇.
⁹C₇ = 9! / (9 - 7)! 7! = 9! / 2! x 7!9 x 8 x 7! / 2! x 7!9 x 8 / 236There are 36 different ways to arrange ⁹C₇. Therefore, the correct answer is option D.
Given that, ⁹C₇.
The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.
⁹C₇ = 9!/7!(9-7)!
= 9×8×7!/7!×2!
= 9×8/2×1
= 9×4
= 36
Therefore, the correct answer is option D.
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giving out 93 points for this question!!! need this ASAP!!
Answer: D
Step-by-step explanation:
The function is continuous. There are no discontinuities, or sharp bends in the curve where the slope is undefined. It extends to negative infinity and goes on to positive infinity. A matter of fact, it looks like a graph of x^2 shifted by a few coordinates. The function therefore is constantly increasing from negative infinity to positive infinity. The function never decreases
The box-and-wishker plots bellow
Answer:
H: Plots 1 & 2
Step-by-step explanation:
Find the slope of the line passing through the points (7, -3) and (3, -7)
Answer
The slope is (2,4) and (1,2)
Step-by-step explanation:
Find the solution of the system of equations. x-3y= -13
2x+15y=16
Answer: [tex]x=-7, y=2[/tex]
Step-by-step explanation:
Multiplying the first equation by 2 gives [tex]2x-6y=-26[/tex]
Subtracting this from the second equation yields [tex]21y=42 \longrightarrow y=2[/tex]
Substituting this back into the first equation gives that [tex]x=-7[/tex]
[tex]\therefore x=-7, y=2[/tex]
A rectangle is 7 times longer than it is wide. It its perimeter is 144cm, what is it area?
Answer:
9
Step-by-step explanation:
→ Write an expression for the rectangles width
x
→ Write an expression for the rectangles length
7x
→ Now write an equation for the perimeter
x + 7x + x + 7x = 144
→ Simplify
16x = 144
→ Solve
x = 9
the point inside a circle that is the same distance from all the points on the circle
Answer:
the center
Step-by-step explanation:
The only point in the circle that is equidistant from the border is the center, and the lines that connect the center to the points on the circle is called the radius. All radii in a circle are congruent.
Help Me On This!!
I already know the answer but i need a short explanation.
Answer:
option BExplanation:
With every increase in side, there is an increase in dots
1 side = 1 dot2 side = 2 dot3 side = 3 dot4 side = 4 dot=============
Option B has 4 sides and 4 dots.
a picture on the walls jeremy's classroom has 4 right angles,4 sides of equal length,and 2 pairs of opposite sides that are parallel. what quadrilateral best describes the picture
Answer:
square
Step-by-step explanation:
A quadrilateral with four right angles will be a rectangle. A rectangle with sides of equal length is a square.
Jeremy's picture is a square.
anyone help pls??
Find the perimeter and the area of the regular polygon with the given apothem a and side length s.
Step-by-step explanation:
apothem : distance from the center of the object to the side(s).
area : 1/2 × perimeter × apothem
perimeter : 9 x side
perimeter = 9×15 in = 135 in
area = 1/2 × 135 × 20.6 = 1,390.5 in²
The perimeter and area of a nonagon with apothem of 20.6 inches and side of 15 inches are 135 inches and 1390.5 inches² respectively.
What is a nonagon?A nonagon is a polygon with 9 sides. The perimeter and area can be found as follows;
Perimeter = length of the whole sides
side length = 15 inches
P = 9 × 15
p = 135 inches
Area of a nonagon = 1 / 2 pa
where
a = apothemp = perimeterTherefore,
apothem = a = 20.6 inches
area of the nonagon = 1 / 2 × 135 × 20.6
area of the nonagon = 2781 / 2
area of the nonagon = 1390.5 inches²
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If sodium 24 has a half life of 15 hours if there are 800g of na-24 initially how long will it take for 750g of na-25 to decay so that only 50g remains
It would take about 60 hours to decay so that only 50g of the sodium remains
How to calculate half life?The half life is 15 hours and there are 800 g initially. Let N(t) represent the amount of sodium after t hours. Hence:
[tex]N(t)=800(\frac{1}{2} )^\frac{t}{15} \\\\For\ 50g\ to \ remain:\\\\50 = 800(\frac{1}{2} )^\frac{t}{15}\\\\t=60\ hours[/tex]
It would take about 60 hours to decay so that only 50g of the sodium remains
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Geometry N.6 Properties of parallelograms LLK If AB = 2v - 3 and AD = 6v - 55, find the value of v in parallelogram BCDE. E B А D с V
Answer:
v = 13
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, so AB ≅ AD. This relation gives rise to an equation we can solve for v.
2v -3 = 6v -55
52 = 4v . . . . . . . . . add 55-2v to both sides
13 = v . . . . . . . divide by 4
The value of v is 13 in this parallelogram.
help pleaseeee this harddd
Answer:
Step-by-step explanation:
Step-by-step explanation:
#1 1.6
#2 1:2
#3 $160.00
#4 1,800
#5 $360
#6 2
#7 250
I hope I helped you
I'm sorry for late
16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain. (2 points)
Answer:
yes
Step-by-step explanation:
A right triangle means that
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {6}^{2} + {8}^{2} = {10}^{2} [/tex]
, which means that it follows the rules of the formula, making it a right triangle.
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