Box A contained 40 paperclips. Box B contained 23 paperclips. After Sally took an equal number of paperclips from each box, Box A then contained twice as many paperclips as Box B. How many paperclips did Sally take from each box?
Answer:
Step-by-step explanation:
Number of clips in box A = 40
Number of clips in box B = 23
If Sally took out 6 clips from each box
Remaining clips in box A = 40 - 6 = 34 which is twice of 17
Remaining clips in box B = 23 - 6 = 17
Answer:
Sally took 6 paperclips from each box
Step-by-step explanation:
Paper clips in Box A = 40
Paper clips in Box B = 23
Let the equal number paperclips removed from each box = x
Number of clips in box A after taking 'x' clips = 40 -x
Number of clips in box B after taking 'x' clips = 23 -x
40 - x = 2*(23 -x)
40 - x = 2*23 - 2*x
40 -x = 46 - 2x {Add 2x to both sides}
40 - x + 2x = 46 {Combine like terms}
40 + x = 46 {Subtract 40 form both sides }
x = 46 - 40
x = 6
Sally took 6 paperclips from each box
how long will it take with 0.5kW power rating to do 1500J of work?
3 seconds
3 microseconds
3 minutes
0.3 seconds
The average daily maximum temperature for Shane’s hometown can be modeled by the function f(x)=12.2cos(πx6)+54.9, where f(x) is the temperature in °F and x is the month.
x = 0 corresponds to January.
What is the average daily maximum temperature in March?
Round to the nearest tenth of a degree if needed.
Answer:
The average daily maximum temperature in March is of 61 degrees.
Step-by-step explanation:
The average daily maximum temperature in his hometown in x months after January is given by:
[tex]f(x) = 12.2\cos{(\frac{\pi x}{6})} + 54.9[/tex]
What is the average daily maximum temperature in March?
March is 3 - 1 = 2 months after January, so this is f(2).
[tex]f(2) = 12.2\cos{(\frac{\pi*2}{6})} + 54.9 = 61[/tex]
The average daily maximum temperature in March is of 61 degrees.
Lola is putting a border on the quilt she is making. The quilt is shaped like a rectangle. The width of the quilt is 48 inches and its length is twice its width. How much border does Lola need?
Group of answer choices
Answer:
288in
Step-by-step explanation:
48 times 2 is 96
96 plus 96 plus 48 plus 48 for all sides of the rectangle = the perimeter or border
Is the following relation a function? *
{(-3, 2), (1, 8), (-1, 5), (3, 11)}
Yes
No
Why or why not?
Answer:
No.
Step-by-step explanation:
Well at first glance it might seem so but there are two points particularly that can tell you that these points cannot be within a function.
The points (3,2) and (3,-2) will yield an undefined slope (a straight vertical line). There is no possibility that the other points can be in this line (as their y - values are different) and there is no possibilty that this is a function at all according to the vertical line test (the test is that if you draw a vertical line that there shouldn't be more than one point on it).
PLEASE ANSWER THE QUESTION IN THE PICTURE BELOW
Answer:
35 cm^3
Step-by-step explanation:
the area is 35 hoped that helped
Does (1, 10) make the inequality y > 2x + 7 true?
yes
no
Answer:
Yes.
10 > 9
Step-by-step explanation:
This inequality is true because 10 is greater than 9.
y > 2x + 7
10 > 2(1) + 7
10 > 2 +7
10 > 9
helpppppppppppppppppp
Answer:
38º
Step-by-step explanation:
the angles that are across from each other like
the 38º and <6<2 and <4<3 and <5<1 and <7are equal.
So, <6 = 38º (This is also because of the Vertical Angle Theorem / VAT)
SUPER EASY QUESTION WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!!!
what is 11683.94 rounded to the nearest tenth.
Answer: It's 11683.9
Step-by-step explanation:
My sister got stuck on these can you tell me the answers?
What is y if x=6 eqaution=y=4x+5
a ski resort charges $45 for an All day lived pass and $40 per day for renting boots and a snowboard. At a store, you can buy boots and a snowboard for $360. How many times must you go snowboarding at the ski resort for the cost of buying your own boots and snowboard to be less than renting them?
The average commute to work (one way) is 25 minutes according to the 2005 American Community Survey. If we assume that commuting times are normally distributed and that the standard deviation is 6.1 minutes, calculate the probability that a randomly selected commuter spends for the following cases.
1. More than 31 minutes commuting one way.
2. Less than 8 minutes commuting one way.
Answer:
1. 0.1635
2. 0.0026
Step-by-step explanation:
The computation of the probability in the following cases are as follows:
1.
Given that
Mean = 25 minutes
ANd, the standard deviation is 6.1 minutes
So here the z score would be
= (31 - 25) ÷(6.1)
= 0.98
Now the probability is
= P(Z>0.98)
= 0.1635
2. the z score would be
= (8 - 25) ÷(6.1)
= -2.79
Now the probability is
= P(Z<-2.79)
= 0.0026
Can I have some help I don't really understand this question.
Answer:
40 square units
Step-by-step explanation:
This is a rhombus, so you multiply the two diagonals and divide by 2.
8x10÷2=40
The area of a square mural is 144x2 - 72x + 9. What is the length of one side
of the mural?
Answer:
-0.25 units
Step-by-step explanation:
144x^2 - 72x + 9 = 0
common factor: 9
16x^2 - 8x + 1 = 0
(4x + 1)^2 = 0
4x +1 = 0
4x = -1
x = -0.25 units
A random sample of elementary school children in New York state is to be selected to estimate the proportion p who have received a medical examination during the past year. An interval estimate of the proportion p with a margin of error of 0.06 0.06 and 99% 99 % confidence is required.
Answer:
The minimum sample size required is 461.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
An interval estimate of the proportion p with a margin of error of 0.06. What is the minimum sample size required?
The minimum sample size required is n, which is found when M = 0.06.
We don't have an estimate for the true proportion, which means that we use [tex]\pi = 0.5[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.06 = 2.575\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.06\sqrt{n} = 2.575*0.5[/tex]
[tex]\sqrt{n} = \frac{2.575*0.5}{0.06}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*0.5}{0.06})^2[/tex]
[tex]n = 460.5[/tex]
Rounding up
The minimum sample size required is 461.
can someone please help me , i’ll give you brainliest
Answer:
Option D vertical angles is your answer ☺️☺️
Answer:
Vertical angles
Step-by-step explanation:
∠WTU and ∠STZ are opposite each other; hence they are vertical angles.
Help quickly pleaseee
Answer:
I'm corona positive and isolated feeling depressed just logged in to talk someone but people ignoring me thanks for this behaviour got disappointed bye everyone logging out had a great time
In triangle FGH shown below, what is the measure of < F degrees?
Record your answer and fill in the bubbles on your answer document. Be sure to use
the correct place value.
Answer:
∠F = 19.5°
Step-by-step explanation:
The sum of all of the angles in a triangle is 180°
∠F + ∠H + ∠G = 180°
∠F + 127° + 33.5° = 180°
∠F + 160.5° = 180°
-160.5° -160.5°
∠F = 19.5°
Anyone know the answer
Answer:
20 and 60
Step-by-step explanation:
If x=25, angle one is 20 degrees, and angel two is 60 degrees.
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
A scale of 3
Step-by-step explanation:
dd2d2de2f3f
Select all of the given trigonometric equations that are true statements. sin(180°) = cos(0°) cos(74°) = sin(16°) sin(20°) = cos(70°) sin(A°) = cos(90° - A°) sin(A°) = cos(180° - A°) cos(140°) = sin(40°)
Answer:
Cos 74°= Sin 16°
Sin 20°= Cos 70°
Sin A°=Cos (90°- A°)
Step-by-step explanation:
This is because the three pairs are complementary i.e they add up to 90° and in trigonometric ratios, complementary ratios are equal.
Solve the equation x^{2}-15x+52=0x
2
−15x+52=0 to the nearest tenth.
9514 1404 393
Answer:
x = {5.4, 9.6}
Step-by-step explanation:
Adding and subtracting the square of half the x-coefficient can help you complete the square.
(x^2 -15x +7.5^2) +52 -7.5^2 = 0
(x -7.5)^2 = 4.25 . . . . . . add the opposite of the constant; write as a square
x = 7.5 ±√4.25 . . . . . . . square root, add 7.5
x ∈ {5.4, 9.6}
whoever gets this correct first gets brainlest
Answer:
36°
Step-by-step explanation:
From the question,
The sum of the exterior angle of a polygon = 360
From the diagram. the polygon is Decagon
Note: A Decagon is a polygon with 10 sides.
number of sides = 10 .
The exterior angle of a regular polygon = sum of the exterior angle/number of sides.
Exterior angle = 360/10
Exterior angle = 36°
Hence the measure the single extrior angle = 36°
Question is attached. Thanks
Answer:
The third oneStep-by-step explanation:
In the diagram below, what is the approximate length of the mirror arc AB?
Answer:
D) 15.7 cm
Step-by-step explanation:
radius = 10 cm
diameter = 10 x 2 = 20 cm
circumference = 20 x 3.14 = 62.8 cm
(90°/360°)(62.8) = 15.7 cm
what is the domainof f(x)=4^x
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Domain of given function is set of real numbers
Help on this question don’t understand it well
Answer:
135
Step-by-step explanation:
Well you don ‘t have to worry about the first part since its just the equation with the unknown number while the second part has it already substituted in.
Solve the equation normally, follow orders of operations.
6(5)^2-15
5^2=25
25*6=150
150-15=135
If 10 miles≈16 km, about how many miles would be equal to 92 km? Show how you decided.
Answer:
57.5 miles
Step-by-step explanation:
10 mi : 16 km
x mi : 92 km
(10)(92) = (16)(x)
920 = 16x
57.5 = x
2x+8>4 translate the inequality into written language
Answer:
The sum of two variables and 8 is greater than 4.