Answer:
The longer piece is 15 feet long and the shorter piece is 3 feet long.
Step-by-step explanation:
Create a system of equations where x is the length of the longer piece and y is the length of the shorter piece:
x + y = 18
x = 5y
Solve by substitution by substituting 5y as x into the first equation:
x + y = 18
5y + y = 18
Solve for y:
6y = 18
y = 3
So, the shorter piece is 3 feet long. Since the longer piece is 5 times longer, find its length by multiplying this by 5:
3(5)
= 15
So, the longer piece is 15 feet long.
The longer piece is 15 feet long and the shorter piece is 3 feet long.
Determine whether the following statement is always, sometimes, or never true.
If two pairs of corresponding sides of two right triangles are congruent, then the triangles are
congruent.
Answer:
this statement is true because then the triangles will be congruent by rhs axiom
Find the measurement of angle b.
Answer:
b = 55
Step-by-step explanation:
The two angles add to 90 degrees
b+35 = 90
Subtract 35 from each side
b +35-35 = 90-35
b = 55
Answer:
90-35=55
Answer is D
Step-by-step explanation:
As evident, the line is bisecting the right angle. One side of the bisection is given as 35. Thus by deduction:
90-35=b
90-35=55
55=b
write the first ten prime numbers in the line. delete 6 digits to get the largest possible number
9514 1404 393
Answer:
7317192329
Step-by-step explanation:
The first 10 primes are ...
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
The number of interest will keep getting larger as long as the first (or next needed) digit keeps getting larger. That is, we want to delete any digit that is not greater than the one previous. Following this rule until we have deleted 6 digits, we find the largest number to be ...
7317192329
_____
The digits deleted are those in bold in the list of primes.
Answer:
7317192329Step-by-step explanation:
hope it helps
Helpppp quiccckkkkkm
Answer:
a) G
b) C
Step-by-step explanation:
Triangle A is congruent to triangle G
Triangle D is congruent to Triangle C
what is the integer of-2
Answer:
-2
Step-by-step explanation:
The integer of - 2 is - 2 only as integers can be positive and negative whole numbers
The Pythagorean Theorem (image below)
Suppose that for a typical FedEx package delivery, the cost of the shipment is a function of the weight of the package measured in ounces. You want to try to predict the cost of a typical shipment given package dimensions. If 10 packages in a city are sampled and the regression output is given below, what can we conclude about the slope of weight
Answer:
The answer is "Option 5"
Step-by-step explanation:
Please find the complete question in the attached file.
Throughout the above output the regression equation is:
Delivery cost [tex]=0.469\times weight +9.617[/tex]
Let V1=(1,2,-5)^T v2=((2,5,6)^T and b=(7,4,-3)^T cn be expressed as a linear combination of V1 and V2?
I assume the question is whether the vector b is a linear combination of v₁ and v₂. If it is, then that means there are scalars c₁ and c₂ such that
b = c₁ v₁ + c₂ v₂ ==> (7, 4, -3) = c₁ (1, 2, -5) + c₂ (2, 5, 6)
This gives the system of equations,
c₁ + 2c₂ = 7
2c₁ + 5c₂ = 4
-5c₁ + 6c₂ = -3
which has no solution, since
-2 (c₁ + 2c₂) + (2c₁ + 5c₂) = -2(7) + 4 ==> c₂ = -10
but substituting this into any two equations in the system gives contradictory results. For instance,
c₁ + 2c₂ = c₁ - 20 = 7 ==> c₁ = 27
2c₁ + 5c₂ = 2c₁ - 50 = 4 ==> c₁ = 27
-5c₁ + 6c₂ = -5c₁ - 60 = -3 ==> c₁ = -57/5
This means that b is not a linear combination of v₁ and v₂.
\Suppose that a person has an average heart rate of 88.6 beats/min. (Express your answers to problems in this section to the correct number of significant figures and proper units.) (a) How many beats does he or she have in 5.0 y
Answer:
He or she has 232,840,800 beats in five minutes.
Step-by-step explanation:
This question is solved by proportions.
In this question:
A year has 365 days.
Each day has 24 hours.
Each hour has 60 minutes.
Minutes in five years:
5*365*24*60 = 2,628,000 minutes.
How many beats in five minutes?
88.6 beats/min, 2,628,000 minutes. So the number of bears is:
88.6*2628000 = 232,840,800
He or she has 232,840,800 beats in five minutes.
is 2(9x) and 18x
Equivalent?
Explain why
If tickets for a concert cost $9 each, how many tickets can you buy if you have $135?
Write an equation and solve by guess-and-check.
9
c. 9x = 135; 15 tickets
135, 15 tickets
a
X
b. 9 + x = 135; 15 tickets
d. 9 - x = 135: 15 tickets
Answer:
15
Step-by-step explanation:
135 divided by 9 = 15
In 1992, the moose population in a park was measured to be 4600. By 1998, the population was measured again to be 4240. If the population continues to change linearly
1.Find a formula for the moose population, P , in terms of t, the years since 1990.
2.What does your model predict the moose population to be in 2009?
Answer:
P(t) = - 60t + 4720
3580
Step-by-step explanation:
Given :
m = (y2 - y1)/(x2 - x1)
m = (4250 - 4600) / (8 - 2)
m = - 360 / 6
m = - 60
Using the point slope relation :
y - y1 = m(x - x1)
y - 4600 = - 60(x - 2)
y - 4600 = - 60x + 120
y - 4600 + 4600 = - 60x + 120 + 4600
y = - 60x + 4720
P(t) = - 60t + 4720
To predict population in 2009 :
2009 - 1990 = 19 years
Put t = 19
P(19) = - 60(19) + 4720
P(19) = - 1140 + 4720
P(19) = 3580
Cooper buys a one-gallon bottle of juice for $12.80. What is the unit rate of the cost of the juice per fluid ounce? 1 gallon 4 quarts 1 quart 2 pints 1 pint = 2 cups 8 fluid ounces 1 cup Before you try that problem, answer the question below. How many fluid ounces of juice did Cooper buy?
how many fluid ounces of juice did he buy ???
Answer: There are 128 fluid ounces in a gallon
Step-by-step explanation:
There are 128 fluid ounces in a gallon
Find the balance of the account earning interest compound annually.
$7000 at 4% for 2 years
9514 1404 393
Answer:
$7571.20
Step-by-step explanation:
Each year, the balance is multiplied by 1+4% = 1.04. After 2 years, the balance is ...
$7000 × 1.04 × 1.04 = $7571.20
_____
Additional comment
The repeated multiplication is usually indicated with an exponent:
$7000×1.04²
My car payment is 312.67. My water bill is 12percent of the car payment. How much is the water bill
Answer:
275.15
Step-by-step explanation:
312.67 * 12% = 37.52
312.67 - 37.52 = $275.15
Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.
How many foreign stamps does Malik have?
Answer:
answer in picture
c, b, d
Step-by-step explanation:
sample of one hundred seventy-eight students were surveyed one week prior to the election for student body president
egarding their choice of three candidates. The table below shows the results of the survey.
A
B
С
Candidates
Votes
67
57
54
Use the information above. There are 1571 students in the school. According to the survey, about how many votes can
candidate A expect to recieve?
Answer:
592 Votes
Step-by-step explanation:
According to the Question,
Given That, a sample of 178 students was surveyed one week prior to the election for student body president Regarding their choice of three candidates.The table below shows the results of the survey.A B С
Candidates Votes 67 57 54
And, There are 1571 students in the school.
So, The Total votes can candidate 'A' expect to Receive is⇒(1571/178)×67
⇒591.33 ≈ 592 Votes(Approximately)
what digit could be in the ten millions place of a number that is greater than 70,000,000 but less than 100,000,000
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiiii bro
Terri wants to know the value of n in the equation 7.638xn=763.8 what value for n makes the equation true?
Answer: 100
Step-by-step explanation:
Since we are given the equation 7.638 × n = 763.8 and told that Terri wants to know the value of n in the equation that will make it true. To do this goes thus:
7.638 × n = 763.8
7.638n = 763.8
Divide both side by 7.638
7.638n/7.638 = 763.8/7.638
n = 100
Therefore, n = 100 will make the equation true.
Solve the problem. Use the Central Limit Theorem.The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 109.0 inches, and a standard deviation of 12 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches
Answer:
0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.
Step-by-step explanation:
To solve this question, we use the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 109.0 inches, and a standard deviation of 12 inches.
This means that [tex]\mu = 109, \sigma = 12[/tex]
Sample of 25.
This means that [tex]n = 25, s = \frac{12}{\sqrt{25}} = 2.4[/tex]
What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches?
This is the p-value of Z when X = 112. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{112 - 109}{2.4}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a p-value of 0.8944.
0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.
jada makes sparkiling juice by mixing 2 cups of sparkiling water with every 3 cups of aplle juice.
how much sparkiling water does jada need if she uses 15 cups of apple juice?
solve the answer with a full explanation
Answer:
10 cups
Step-by-step explanation:
we can set up a proportion of cups of water over cups of apple juice
2/3 = w/15
if you cross-multiply you will get:
3w = 30
w = 30/3
w = 10
The mass of a dime is about 0.002268 kg. Which is the best estimate of the mass?
A 2 x 10-3
B 2 x 10-2
C 2 x 102
D 2 x 103
Answer:
A.
[tex] = > \: 2 \times {10}^{ - 3} [/tex]
Which calculation correctly uses prime factorization to write V48 in simplest form?
A. 48 = V2 -2 -2 -2 - 3 = 2V12
B. 48 = 14 - 12 = 2/12
C. 48 = V2 -2 -2 -2 - 3 = 4V3
D. V48 = 16 - 3 = 4V3
Answer:
C
[tex] \sqrt{48} = \sqrt{2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{16 \times 3} \\ = 4 \sqrt{3} [/tex]
The prime factorization to write [tex]\sqrt{48}[/tex] in the simplest form as
48 = V2 -2 -2 -2 - 3 = 4V3
What is Prime Factorization in Math?Prime factorization of any number indicates to express that number as a product of prime numbers. A prime number exists as a number that has precisely two factors, 1 and the number itself.
We require to express 48 as the product of its prime factors as 48.
= 2 [tex]\times[/tex] 3 [tex]\times[/tex] 2 [tex]\times[/tex] 2 [tex]\times[/tex] 2.
Therefore, [tex]$\sqrt{48}=\sqrt{ (2 \times 2 \times 2 \times 2 \times 2)}[/tex]
[tex]$=4 \sqrt{3}$[/tex]
[tex]$4 \sqrt{3}$[/tex] exists in the lowest radical form.
Therefore, the correct answer is option C. 48 = V2 -2 -2 -2 - 3 = 4V3.
To learn more about Prime Factorization
https://brainly.com/question/24612438
#SPJ2
I need some help on this math question. Please explain how you found the answer too!
Answer:
A
Step-by-step explanation:
The table represents a proportional function which has a rate of proportionality equal to 5
In fact
5:1 = 5
15 : 3 = 5
25 : 5 = 5
35 : 7 = 5
If we make 90 : 18, the result is 5, so this dates can be part of the table
Curtis threw 15 darts at a dartboard.40% of his darts hit the bulls eye. How many darts did not hit the bulls eye?
Answer:
9 did not hit the bulls eye
Step-by-step explanation:
If 40% did hit the bulls eye, 100-40 = 60% did not hit the bulls eye
15 * 60%
15 *.6
9
9 did not hit the bulls eye
Answer:
Therefore, 9 darts did not hit the bull's-eye.
Step-by-step explanation:
Equivalent ratio states that the two ratios are express the same relationship between numbers
As per the given statement: Curtis threw 15 darts at a dashboard.
40% of his darts hit the bull's eye
then;
60 % of his darts did not hit the bull's eyes.
By definition of equivalent ratio;
x/15= 600/100
Multiply both sides by 15 we have;
x= 60/100 *15= 60*15/100= 900/100= 9 Darts
Perform the operation and, if possible, simplify
21/20 - 4/15
Answer:
47/60
Step-by-step explanation:
Find the LCM and multiply to get there.
LCM is 60
63/60-16/60
47/60
Write about a time when you had an unexpected expense. How did you deal with the unexpected expense? What are some unexpected expenses you might face in the next five years?
Answer:
Some unexpected expenses I have had were Pet Emergencies with my dog
or Major Auto Repairs if my car gets in an accident or home repairs if my child writes on the wall or breaks a whole in it. I dealt with them by selling stuff that I dont use to pay it off. Some expenses I might face in the next 5 years would be Medical emergencies for my family just incase anything were to happen to them
If 8 x - 4 = 6 - 3 x then x =
Answer:
4th option is correct
Step-by-step explanation:
[tex]8 x - 4 = 6 - 3 x[/tex]
[tex]8x−4+3x=6[/tex]
[tex]11x−4=6[/tex]
[tex]11x=6+4[/tex]
[tex]11x=10[/tex]
[tex]x = \frac{10}{11} [/tex]Hope it is helpful...Answer:
option 4 ,
x=10/11
is the answer of your question
explanation is attached below .
hope it is helpful to you
Marsha deposited $10,000 into a savings account 5 years ago. The simple interest rate is 3%.
much money did Marsha earn in interest
Answer:
She earned 1500 in interest
Step-by-step explanation:
10,000 × 0.03 × 5 = 1500
Your welcome :)
|-2 + 5 | - |3 - 12| - 13=
Answer:
-19
3 - 9 - 13 = -19
Step-by-step explanation:
