Answer:
3 ; 5 ; 6 ; 40 ; 150 ; 15; 7.5 ; yes
Step-by-step explanation:
Given the questions:
1. Tara walks a 2 mile route through her neighborhood for daily exercise. It takes her 30 minutes. At this rate, how far can Tara walk in 45 minutes?
Speed = distance / time ; 2 / 0.5 = 4 mph
45 minutes = 0.75 hr
Distance = speed * time = 4 * 0.75 = 3 miles
2. An infant daycare requires 1 teacher for every 4 children. How many teachers are required for 20 children?
1 teacher = 4 children
x = 20 children
x = 20/4 = 5
5 teachers
3. To make purple frosting, you start with white frosting. Then you add 2 drops of red food coloring and 3 drops of blue food coloring. If 4 red drops come out with the first squeeze, how many blue drops should you add?
2 drops of red = 3 drops of blue
4 drops of red = x
x = 12 / 2 = 6 drops of blue
4. Arlen delivers 28 newspapers each morning. The route takes him 40 minutes. If his route increases to 35 newspapers, how long will it take him?
40 minutes
6. On a map, 1 inch represents 50 miles. You measure the distance on the map between two towns as 3 inches How many miles apart are the two towns?
1 inch = 50 miles
3 inch = d
d = 50 * 3 = 150 miles
6. Kelsey earns $5 walking her neighbors' dogs twice a week. At this rate, how much should Kelsey cam if she walks the dogs 6 days each week?
Twice a week = $5
6 times a week = (6/2) * 5 = $15
7. Jeff drove the first 200 miles of a trip in 3 hours. At this rate, how long will the 500 mile trip take, with no stops?
Rate = distance / time = 200 / 3 = 66.667mph
time = 500 /66.667 = 7.5 hours
8. Lisa types 6 pages in 36 minutes. Frank types 5 pages in 30 minutes. Do they type at the same rate?
Lisa's rate :
36 /6 = 6 minutes per page
Frank :
30 /5 = 6 minutes per page
A physicist examines 23 sedimentary samples for mercury concentration. The mean mercury concentration for the sample data is 0.036 cc/cubic meter with a standard deviation of 0.012. Determine the 80% confidence interval for the population mean mercury concentration. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
The 80% confidence interval is [tex]0.0328 < \mu < 0.0392[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 23
The sample mean is [tex]\= x = 0.036 \ cc/m^3[/tex]
The standard deviation is [tex]\sigma = 0.012[/tex]
From the question we are told the confidence level is 80% , hence the level of significance is
[tex]\alpha = (100 - 80 ) \%[/tex]
=> [tex]\alpha = 0.20[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.282[/tex]
Generally the margin of error is mathematically represented as
[tex]E = 1.282 * \frac{0.012 }{\sqrt{23} }[/tex]
=> [tex]E = 0.00321 [/tex]
Generally 80% confidence interval is mathematically represented as
[tex]0.036 -0.00321 < \mu < 0.036 + 0.00321[/tex]
=> [tex]0.0328 < \mu < 0.0392[/tex]
Elizabeth drove 2 fifths of a mile in 30 seconds. What is Elizabeth’s speed
Answer:
0.8 miles in a minute, which would be 40 miles a hour.
Step-by-step explanation:
2/5 = 0.4
0.4 times 2 = 0.8
30 seconds times 2 = 60 seconds or 1 minute
60 times 0.8 = 40
60 times 1 minute = 60 minutes or 1 hour
40 miles in an hour or known as 40 miles a hour.
Can somebody help me pls
the answer can vary between x=−1 or x=2 or x=−3 or x=3
explanation:
x4−x3−11x2+9x+18=0
Step 1: Factor left side of equation.
(x+1)(x−2)(x+3)(x−3)=0
Step 2: Set factors equal to 0.
x+1=0 or x−2=0 or x+3=0 or x−3=0
x=−1 or x=2 or x=−3 or x=3
Find the distance across the bridge
Answer:
32.5 ft
Step-by-step explanation:
Answer:160
Step-by-step explanation:
I think because it shows 160 feet all the way down as the 32 and 20 are only the height of the bridge
The regular price of a hooded jacket is $25.75. During a sale, the jacket was marked as 20% off. What was the approximate price of the jacket during the sale?
A.
$5.15
B.
$20.60
C.
$21.62
D.
$23.75
Answer:
5.15 hope this help!!!
Step-by-step explanation:
give this brainlieast so other people can know its not 20.60
How many different ways can 5 events be ordered?
Answer:120 ways
Note that your choice of 5 objects can take any order whatsoever, because your choice each time can be any of the remaining objects. So we say that there are 5 factorial = 5! = 5x4x3x2x1 = 120 ways to arrange five objects.
Step-by-step explanation: LET ME BE!
Dan, Richard and Nick share £70 in a ratio 1:3:1. How much money does each person get?
Dan:
£
Richard:
£
Nick:
£
Answer:
dan 14 Richard 42 nick 14
HELP PLS
analyze the diagram above and complete the instructions that follow.
Answer:
D
Step-by-step explanation:
answer is on the photo
A recipe for 45 biscuits uses
5
2
cups of flour. How many biscuits are made from each cup of flour?
Answer:
18
Step-by-step explanation:
Please give brainliest!
Answer:
18
Step-by-step explanation:
NEED HELP ASAP!!!!Instructions: Using the following image, solve for the trigonometry ratios of
Answer:
17
8/17
Step-by-step explanation:
x=[tex]\sqrt{8^{2} +15^{2} } =17[/tex]
sin∠D = [tex]\frac{8}{17}[/tex]
lucy trey and rubin have a total of $100 dollars in their wallets. trey has $5 more than lucy reuben has 3 times what. trey has how much do they have in their wallets
True or False. A triangle can be made with side lengths 4, 4 and 8.
Answer:
False
Step-by-step explanation:
what is 7/9 of 1 1/14
Answer:
1.5555556
1 5/9
14/9
Step-by-step explanation:
please help me and my sister! Were a bit stuck!
Ok...
what exactly do you need help with?
Answer:
help with what lol
Step-by-step explanation:
Juanita earns $36 for 3 hours of work. At that rate, how long would she have to work to earn $720?
Answer:
She has to work for 60hours in order to earn $720.
Step-by-step explanation:
Amount of money earned in 1hour=36÷3
=12$
Total time required=720÷12
=60hours
which of the following are trinomials?
PLS, I REALLY NEED THIS ANSWER.
Answer:
Option (A) and Option (B)
Step-by-step explanation:
Trinomial is a polynomial having three terms.
Option A
[tex]\frac{5}{7}y^3+5y^2+y[/tex]
Number of terms = 3
So it's a trinomial.
Option (B)
x⁴ + x² + 1
Number of terms = 3
It's a trinomial.
Option C
6x² + 0.5y²
Number of terms = 2
It's a binomial.
Option D
x² + 3
Number of terms = 2
It's a binomial.
Option E
x¹¹
Number of terms = 1
Monomial
Option F
8x
Monomial.
Therefore, Option (A) and Option (B) are the correct options.
The local amusement park is a popular field trip destination. This year the senior class at HighSchool A and the senior class at High School B both planned trips there. The senior class at HighSchool A rented and filled 6 vans and 7 buses with 292 students. High School B rented and filled2 vans and 14 buses with 494 students. Each van and each bus carried the same number of students. How many students can fit in a bus?
Answer:
How many students can fit in a bus? 34
Answer:
You can fit 34 students on a bus
Step-by-step explanation:
Hope this helps...
Given the linear function f(x) = 3x + b. If b is increased by 5, how would the line shift?
Answer:
the line would move up five units because b is the y intercept, and the y intercept determines the position of the line, not the look or slope of the line
Answer:
THE LINE WOULD MOVE UP 5 UNITS
Step-by-step explanation:
every 5th visitor to an animal shelter gets a free animal calendar every 8th visitor gets a free animal toy witch visitor each day will be the first one to get both the calendar and the animal toy
Answer:
The 40th visitor will recieve both
Step-by-step explanation:
5×8= 40
8×5= 40
Using partial quotients, which would be the best choice for the first number to subtract in the division problem 858 +26?
Answer:
780
Step-by-step explanation:
We want to use partial quotients in the division problem 858 ÷ 26.
In partial quotients method, what we do is to repeatedly subtract from the dividend easy multiples of the divisor.
In this case, the dividend is 858 and the divisor is 26.
Thus, the first easy multiple of the divisor we can use will be 30 because 30 × 26 = 780 yields the closest value to 858.
Therefore, the best choice for first number to subtract is 780
Answer: 780
Step-by-step explanation:
The best choice for the division problem will be 780.
5(g + 17) = (Simplify your answer.)
Answer:
5g+85 is the answer
Step-by-step explanation:
i hoped it helped
help me pls ill mark brainly
Answer:
First step: 8% as a decimal is 0.08 if you move the decimal of 8 twice to the left.
Second step: I think it would be 0.08 x 25.
Third step: 2. I'm pretty sure there are 2 people that wear glasses in his class because 0.08 times 25 is 2.
Fourth step: Friendly percent is 10%. It is always even.
Hope this helps!
Please helpppp me. Will give Brainlyist
What's the x that will make the fraction greater than or equal to 75%
Please show the thought process to get to x=16
1/5 = 20%
x-4/x >= 75% (x => 16. 12/16 = 75%)
Thanks,
Merry Christmas
9514 1404 393
Answer:
x ≥ 16 or x < 0
Step-by-step explanation:
You want ...
(x -4)/x ≥ 3/4
4(x -4) ≥ 3x . . . . . . multiply by 4x (requires x > 0)
4x -16 ≥ 3x
x ≥ 16 . . . . . . . . . . add 16-3x
__
For x < 0, multiplying by 4x gives ...
4(x -4) ≤ 3x
4x -16 ≤ 3x
x ≤ 16 . . . . . and x < 0
__
There are two sets of solutions:
x < 0 or x ≥ 16
4. Which of the following represents a function?
(8,3), (8,3), (-8, -3), (-8, -3)
0 (-5, 6), (-5, 6), (-5, -6), (-5, -6)
O (3,9), (-7, 1), (6, 12), (-3, -9)
O (5, 1), (5,2), (5, 3), (5, 4)
Which of the following are geometric sequences?
Check all that apply.
Answer:
c , I think :))))))))))))
Answer: C
Step by Step Explanation:
Can not give, sorry
5.401 \times 10^{-1} = {?}5.401×10 −1 =?
Answer:
2.005 x 10^2
Step-by-step explanation:
A meal that contains 4 grams of fat, 3 grams of protein, and 3 grams of carbohydrate will provide ______ calories.
Total calories in 4 grams of fat, 3 grams of protein and 3 grams of carbohydrate is 56
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: 4 grams of fat, 3 grams of protein and 3 grams of carbohydrate
Carbohydrates provide 4 calories per gram, protein provides 4 calories per gram, and fat provides 9 calories per gram.
Thus total calories from given diet is = 4×4+4×3+9×3
=16+12+27
=56
Hence, Total calories in 4 grams of fat, 3 grams of protein and 3 grams of carbohydrate is 56
Learn more about the unitary method here:
https://brainly.com/question/22056199
#SPJ2
Evaluate:5^-1 – 6^-1
with explanation please!!
Answer:
1/30
Step-by-step explanation:
5^-1 = 1/5
6^-1 = 1/6
1/5 - 1/6 = 1/30
Arthemeatic sequence
Answer:
14
Step-by-step explanation:
its going down by 11