Answer:
D) 32
Step-by-step explanation:
-5(s-30)=-10
s-30=-10/-5
s-30=2
s=2+30
s=32
A pumpkin patch charges a $5 entrance fee and $0.60 per pound for pumpkins. Which of the following represents the cost C, In dollars, for one person to enter the pumpkin patch and pick x pounds of pumpkin?
Answer:C=5+0.6x
Step-by-step explanation:
The equation that represents the total cost will be C = 0.60x + 5.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A pumpkin patch charges a $5 entrance fee and $0.60 per pound for pumpkins.
Let x be the number of pounds of pumpkin and C be the total cost in dollars.
Then the equation that represents the total cost will be
C = 0.60x + 5
The equation that represents the total cost will be C = 0.60x + 5.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ6
Construct a 90% confidence interval for μ1-μ2 with the sample statistics for mean calorie content of two bakeries' specialty pies and confidence interval construction formula below. Assume the populations are approximately normal with equal variances.
Answer:
The 90% confidence interval for the difference in mean (μ₁ - μ₂) for the two bakeries is; (49) < μ₁ - μ₂ < (289)
Step-by-step explanation:
The given data are;
Bakery A
[tex]\overline x_1[/tex] = 1,880 cal
s₁ = 148 cal
n₁ = 10
Bakery B
[tex]\overline x_2[/tex] = 1,711 cal
s₂ = 192 cal
n₂ = 10
[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) - t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}< \mu _{1}-\mu _{2}< \left (\bar{x}_1-\bar{x}_{2} \right ) + t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}[/tex]
df = n₁ + n₂ - 2
∴ df = 10 + 18 - 2 = 26
From the t-table, we have, for two tails, [tex]t_c[/tex] = 1.706
[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]
[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( 10-1 \right )\cdot 148^{2} +\left ( 18-1 \right )\cdot 192^{2}}{10+18-2}}= 178.004321469[/tex]
[tex]\hat \sigma[/tex] ≈ 178
Therefore, we get;
[tex]\left (1,880-1,711 \right ) - 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}< \mu _{1}-\mu _{2}< \left (1,880-1,711 \right ) + 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}[/tex]
Which gives;
[tex]169 - \dfrac{75917\cdot \sqrt{35} }{3,750} < \mu _{1}-\mu _{2}< 169 + \dfrac{75917\cdot \sqrt{35} }{3,750}[/tex]
Therefore, by rounding to the nearest integer, we have;
The 90% C.I. ≈ 49 < μ₁ - μ₂ < 289
write the equation of the line in slope intercept form that passes through the points (4,6) and (10,0)
Answer:
y = -x + 10
Step-by-step explanation:
Find the slope:
0 - 6 / 10 - 4 = -6/6 = -1.
Put it in point-slope form:
y - 0 = -1(x - 10)
rearrange:
y = -x + 10
Find the value of x. Round to the nearest tenth. 9 4 x = [?]
Answer:
26.4° (nearest tenth)
Step-by-step explanation:
[tex]\boxed{sinθ = \frac{opp}{hyp} }[/tex]
[tex]sinx = \frac{4}{9} [/tex]
Taking the inverse of sine on both sides:
[tex]x = sin^{ - 1} ( \frac{4}{9} )[/tex]
x= 26.4° (nearest tenth)
are the triangles below similar? yes or no?
Answer:
Yes. They all have the same angle measurements making them similar.
Find the measure of angle m
180° - (60° + 84°) = 180° - 144° = 26°
6x + y = 17
-9x + 5y = -32
Answer:
x=3, y=-1. (3, -1).
Step-by-step explanation:
6x+y=17
-9x+5y=-32
-----------------
-5(6x+y)=-5(17)
-9x+5y=-32
--------------------
-30x-5y=-85
-9x+5y=-32
-------------------
-39x=-117
39x=117
x=3
6(3)+y=17
18+y=17
y=17-18
y=-1
Johnny and his father go fishing at 5:00 AM. After motoring 6 km upstream, Johnny writes a letter to his friend, puts the letter in a bottle, and drops it into the river. The bottle floats in the current and reaches at 7:40 AM the point where Johnny and his father began their trip. If the speed of the boat in still water is 9 km/h, what is the speed of the river current?
Answer:9/2 km per hour
Step-by-step explanation:
equation,
6/9-x + 6/x=8/3
Upstream is flowing of the boat in the opposite direction of the stream. The speed of the river current is 4.5 km per hour.
Given-Johnny and his father go fishing at 5:00 AM.
Total traveled by the Johnny and his father in upstream is 6 km.
The speed of the boat is 9 km/h.
What is upstream?
Upstream is flowing of the boat in the opposite direction of the stream.
Let x be the speed of the river current.
Time taken by the Johnny and his father to travel 6 km in upstream is ,
[tex]=\dfrac{6}{9-x}[/tex]
The time taken by the bottle to floats in the current river is,
[tex]=\dfrac{6}{x}[/tex]
As Johnny and his father start from 5:00 AM and the bottle reached to the point where Johnny and his father began their trip at 7:40 AM. Thus the total time is,
[tex]=7:40-5:00[/tex]
[tex]=2:40[/tex]
In hours,
[tex]=2\dfrac{40}{60}[/tex]
[tex]=\dfrac{8}{3}[/tex]
As the total time is equal to the sum of the Time taken by the Johnny and his father to travel 6 km in upstream and The time taken by the bottle to floats in the current river. Thus,
[tex]\dfrac{6}{9-x}+\dfrac{6}{x}=\dfrac{8}{3}[/tex]
[tex]\dfrac{6x+54-6x}{9x-x^2}= \dfrac{8}{3}[/tex]
[tex]\dfrac{27}{9x-x^2}= \dfrac{4}{3}[/tex]
[tex]x^2-9x+\dfrac{81}{4}=0[/tex]
On solving the above quadratic equation we get the positive value of the x is 4.5.
Thus the speed of the river current is 4.5 km per hour.
Learn more about the upstream here;
https://brainly.com/question/7567233
Pls if you can answer it :)
Solve the system of equations
-12x+9y=7
3x+4y=2
Show all workings please
Answer:
x = -2/15 & y = 3/5
Step-by-step explanation:
- 12x + 9y = 7 ...(1) ; 3x + 4y = 2 ...(2)
Multiply both sides of (2) by 4:
12x + 16y = 8
Add the new equation & (1):
12x + 16y = 8
-12x + 9y = 7
0 + 25y = 15 => y = 15/25 = 3/5
Thus, substitute the value of y in (2):
3x + 4y = 2 => 3x = 2 - 4(3/5) = (10-12)/5
=> 3x = -2/5
=> x = - 2/15
Answer:
[tex]x=-\frac{2}{15}=-0.133333333\\y = \frac{3}{5}= 0.6[/tex]
Step-by-step explanation:
−12x+9y=7
3x+4y=2
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
−12x+9y=7,3x+4y=2
To make −12x and 3x equal, multiply all terms on each side of the first equation by 3 and all terms on each side of the second by −12.
3(−12)x+3×9y=3×7,−12×3x−12×4y=−12×2
Simplify.
−36x+27y=21,−36x−48y=−24
Subtract −36x−48y=−24 from −36x+27y=21 by subtracting like terms on each side of the equal sign.
−36x+36x+27y+48y=21+24
Add −36x to 36x. Terms −36x and 36x cancel out, leaving an equation with only one variable that can be solved.
27y+48y=21+24
Add 27y to 48y.
75y=21+24
Add 21 to 24.
75y=45
Divide both sides by 75.
y=3/5
Substitute 3/5 for y in 3x+4y=2. Because the resulting equation contains only one variable, you can solve for x directly.
3x+4×(3/5)=2
Multiply 4 times 3/5
3x+12/5=2
Subtract 12/5 from both sides of the equation.
3x=-2/5
Divide both sides by 3.
x=-2/15
The system is now solved.
x=−2/15 ,y=3/5
Write the y-intercept of the graph of -6x + y = 8.
Answer:
0,8
Step-by-step explanation:
Pls help me ASAP the plot is on the top I need help with question 16. In class 1 now many students scored 75 or higher. There are 28 students in class one
Answer:
hey
Step-by-step explanation:
Solve for x.
Simplify your answer as much possible
A model car has a length of 10cm. The scale of the model is 1:40. Find the real length of the car
Answer: 400 cm
Step-by-step explanation:
create a ratio
1 is to 40 as 10 is to x
1/40 = 10/x
multiply both sides by 40 and divide by x
x = 400
this is due in 15 minutes pls help me lol thx
Answer:
ITS A
Step-by-step explanation:
PLZ GIVE BRAINLEIST
in how many ways can a supermarket chain select 3 out of 12 possible sites for construction of a new supermarket?
Answer:
its 220
Step-by-step explanation:
There are 220 ways supermarket chains can select 3 out of 12 possible sites for the construction of a new supermarket.
What are permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
Supermarket chains select 3 out of 12 possible sites for the construction of a new supermarket.
As we know,
[tex]\rm C(n, r) =\dfrac{n!}{( r! (n - r)! )}[/tex]
n = 12
r = 3
[tex]\rm C(12, 3) =\dfrac{12!}{( 3! (12 - 3)! )}[/tex]
C(12, 3) = 220
Thus, there are 220 ways supermarket chains can select 3 out of 12 possible sites for the construction of a new supermarket.
Learn more about permutation and combination here:
https://brainly.com/question/2295036
#SPJ2
Find the area of the composite shape shown below:
5 in
4 in
2 in
3 in
12 in2
20 in2
22 in2
16 in 2
Answer:
16 inches squared
Step-by-step explanation:
We can split the figure into two rectangles. Rectangle 1 will have an area of 2*3=6. Rectangle 2 will have an area of 2*5=10
10+6=16
HOPE THIS HELPS!!!!!!!!8. A rectangular prism measures 5 cm by
9.5 cm by 17.2 cm. What is the volume of the
prism?
10.
pyra
руга
the P
A. 31.7 cm3
B. 272.3cm
C. 296.9 cm3
D. 817 cm3
A. 4
B. 5
C. 1
D. 1
Evaluate k = 13 helllp noww
Answer:
-13
Step-by-step explanation:
Please I need this quick !!!
Answer:
81
Step-by-step explanation:
First we go with exponents, 2x2=4 and 5x2=25. Now we go with what's inside the parentheses so, 4 (Originally 2x2) plus 4 plus 6, which equals 14. Now we multiply 4 and 14, which equals 56. Then we add 56 and 25 which equals 81.
Virginia is sending a package to a friend. She is going to put a dot of glue on each corner. How many dots of glue will Virginia need? The shape of the box is a rectangle and it is a 3D shape
express the product in the simplest form
7/4 x 12
i will mark u brainly and give u more points
Answer:
21
Step-by-step explanation:
Set it up as 7/4 x 12/1. Multiply the numerators and denominators. That equals 84/4 which simplifies to 21.
Is Kee
Keelin wants to find the value of t in the equation
}(150 – 30) = 50. Her work is shown below.
Solve: ž (15t – 30) = 50
Choosed
Step 1: 5t -
10 = 50
The equa
Step 2: 5t = 60
Step 3: t = 12
To determ
To find the
Choose
Can someone please help!!!!
DO NOT ANSWER IF YOU DON'T KNOW IT PLEASE!!!
i need help with this. its dividing polynomials
Answer:
I don't know how to solve it
Answer:
x^2 + 3x + 9 + 7/x-3
A box with a base that had an area of 144 square inches. The box measured 9 inches high. What is the volume of the box?
Answer:
1152 in^3
Step-by-step explanation:
Given data
Area of the box= 144 in^2
Height = 9 in
Volume=??
We know that
volume= Area* Height
substitute
volume= 144*8
volume= 1152 in^3
Hence the volume will be 1152 in^3
Three horses equally share 16 and 1/5 pounds of hay. How many pounds of hay does each horse receive? answer asap plssss
Answer:
They each receive 5.40 pounds of hay
Step-by-step explanation:
16 1/5 ÷3 = 5.40 I checked it by multiplying 5.40×3 and I got the same answer so it should be correct!
help I’m doing a test.... what is 3(2x-9) =
Answer:
6x - 27
Step-by-step explanation:
3 x 2x - 3 x 9 =
6x - 27
Hope that helps!
Answer:
6x - 27
Step-by-step explanation:
What is the range of y = –3sin(x) – 2?
Answer:
thase is the answer and good luck
50 POINTS!! Use rules of transformations to answer each of the items below. Be sure to answer in complete sentences, and when necessary, include your calculations.
Create your own set of coordinates for and graph it on a coordinate plane. Label each of the triangle's vertices.
Write a scenario involving the dilation of onto its image. In the scenario, include the scale factor between the similar triangles and the coordinates for the image. Graph the image on the same coordinate plane as its pre-image.
Use the distance formula or Pythagorean Theorem to prove mathematically that is similar to its image. Include all necessary calculations.
Answer:dvd
Step-by-step explanation:ube
Answer:
hmmm
Step-by-step explanation: