Answer:
Step-by-step explanation:
Let v be her average speed from her parents house
Let t₁ be the time traveled to parents house
Let t₂ be the time traveled from parents house
t₁ + t₂ = 19
t₁ = 19 - t₂
as the distance does not change, we can equate two velocity•time statements
vt₂ = (v + 25)t₁
vt₂ = (v + 25)(19 - t₂)
vt₂ = 19v - vt₂ + 475 - 25t₂
2vt₂ = 19v + 475 - 25t₂
vt₂ = 570 and t₂ = 570/v
2(570) = 19v + 475 - 25(570/v)
1140 = 19v + 475 - 14,250/v
665 = 19v - 14,250/v
665v = 19v² - 14250
0 = 19v² - 665v - 14250
0 = v² - 35v - 750
quadratic formula
v = (35 ±√(35² - 4(1)(-750))) / 2
v = (35 ± 65) / 2
v = - 15 mph which we ignore as she did not spend hours driving backwards
or
v = 50 mph is average speed from parents house
v + 25 = 75 mph is average speed to parents house.
the trip to took 570/75 = 7.6 hrs
the trip from took 570/50 = 11.4 hrs. total of 19 hrs.
Engineering An overpass intersects two
lanes of a highway. What must the value of x
be to ensure the two lanes are parallel?
Answer:
they are already paralell
Step-by-step explanation:
ok
Evaluate 5 - (4 + 2)^2. Show the steps
Answer:
-31
Step-by-step explanation:
1. Simplify 4+2 to 6
5-6^2
2.Simplify 6^2 to 36
5-36
3.Simplify
-31
Hope this helps :)
5 - (4+2)^2
add what is inside of the parentheses
4 + 2 = 6
then do the exponent, which would be 6 times itself
5 - 6^2
6(6)
then subtract 36 from 5, which gives the answer of -31.
5 - 36 = -31
the answer is -31, hope this helps!
Find the value of a that satisfies the following
P(Z>a)=0.9207
Answer:
-1.409
Step-by-step explanation:
I’m assuming this a z-score for stats. You would just go into your calculator, in my case a Casio. Then, you’d press on the stats module, click F5 (DIST), F1 (NORM), F3 (InvN). You would change the data to variable, then put in tail right, area .9207, SD 1, mean of 0. Then hit execute and you’ll get the answer of -1.4097958. Round it if needed.
Last month, when Joe took his puppy to the veterinarian, the puppy weighed 6.7 pounds. This month, the puppy weighed 10.05 pounds. What is the percentage increase of the weight of the puppy?
Answer:
50%
Step-by-step explanation:
PLEASE HELP ME WITH THESE ASAP
i'll give brainlist
Answer:
5/288
Step-by-step explanation:
Find the length of the shorter leg of a right triangle if the longer leg is 11 feet more than the shorter leg and the hypotenuse is 11 feet less than twice the shorter leg.
Step-by-step explanation:
of a right triangle if the longer leg is 11 feet more than the shorter leg and the hypotenuse is 11 feet less than twice the shorter leg.
100 Points. Help solve.
Answer:
Step-by-step explanation:
[tex]\frac{8}{x} =cos 60\\\frac{8}{x} =\frac{1}{2} \\x=8 \times2=16\\\frac{y}{x} =sin60\\\frac{y}{16} =\frac{1}{\sqrt{2}} \\y=\frac{16}{\sqrt{2}} \\y=\frac{16}{\sqrt{2}} \times\frac{\sqrt{2}}{\sqrt{2}} \\y=\frac{16\sqrt{2}}{2} =8\sqrt{2}[/tex]
Answer:
the second option/x = 4, y = 8√3
Step-by-step explanation:
out of the tree options, the second one makes sense
The ratio of boys to girls in math is 9 to 12. Write this ratio to girls in simplest form as a fraction.
Answer:
3/4
Step-by-step explanation:
you can make it into a fraction just putting it like this 9/12
well 12 - 9 = 3
so we divide by it
9÷3 = 3
12÷3 = 4
lastly you put these as a fraction
3/4
I hope this helps :)
Evaluate 8r-rs when r=6 and s=5 ?
Use the associative property to simplify the expression 50 + 20 + 37
Answer:
(50+20) +37=70+37=107
Write a compound inequality for the graph shown below
Use x for your variable
PLEASE HELP ITS MATH THANK YOUUUU
Answer: 7:1
Step-by-step explanation:
The answer is 7:1 because when referring to ratios the answer has to correspond to a group of items to something else. In this case, we are comparing 7 inches to a yard.
State the domain and range and determine if the relation is a function
Answer:
DOMAIN = {3, 4, 5, 6, 7}, RANGE = {2, 1, 9, 12}, the relation is a function.
Step-by-step explanation:
The domain of the relation is the set of points in A which have a tail connected to it. That is {3, 4, 5, 6, 7}.
The range of the relation is the set of points in B which have a tip connected to it. That is {2, 1, 9, 12}.
Since each element of the domain of the relation is associated with exactly one element of the range, the relation is a function.
add 3 3/5 + 6 3/10 tyyyyy
[tex] = 9 \frac{9}{10} \\ \\ in \: \: alternate \: \: forms \\ \\ \frac{99}{10} \: \: \: and \: \: 9.9 \\ \\ hope \: it \: \: helps[/tex]
see the attachment!Which of the following is equivalent to 6.32 X 10^-3
Answer:
c is it
Step-by-step explanation:
Rawr hope it helps
Mikel creates the table below to help her determine 40% of 70.
40% of 70
20%
20%
20%
20%
20%
0.2
0.2
0.2
0.2
0.2
14
14
14
14
14
She writes the expression (0.2) (14). Which change in Mikel’s expression will lead her to the correct answer?
The 14 in the expression could be changed to 28.
The 0.2 in the expression could be changed to 0.4.
The 14 in the expression could be changed to 70.
The 0.2 in the expression could be changed to 2.
Answer:
D i did the test
Step-by-step explanation:
Answer:
D: she need change 0.2 to 2
Step-by-step explanation:
70 divide 20% = 14
40% divide 20% = 2
What is the one thing?
Answer:
.. what ? can you be more specific & show a pic or sum ?
Need help with number 5 and number 6
Answer:
5 d) 9 1/3
6 d) 2
Step-by-step explanation:
Proportions:
5
7 ⇒ 4
BY ⇒3
BY = 7*4/3
BY = 28/3
28/3 = 27/3 + 1/3 = 9 1/3
BY = 9 1/3
6
12 ⇒ 3
8 ⇒ SX
SX = 3*8/12
SX = 2
Georg invests $5000 for 14 years at a rate of 2% per year compound interest.
Calculate the interest he receives.
Answer:
[tex]\frac{1}{50}[/tex] or 0.02
Step-by-step explanation:
2% x 1 to give the answer
or
reduce it to faction like
[tex]\frac{2}{100}[/tex] = [tex]\frac{1}{50}[/tex]How can you represent a rate with 100 as the whole?
Since, 100 is a positive integer and is a counting number. Hence, it is considered to be a whole number.
HELPP! I will give brainliest
A credit card company offers an annual 2% cash-back rebate on all gasoline
purchases. If a family spent $5,650 on gasoline purchases over the course of a year,
what was the family's rebate (in dollars) at the end of the year?|
$4,350 x 0.02 = $87
$360 - $87 = $273
Interest $270 no rebate
so $273 - $270 = $3
The family's rebate at the end of the year is $113.
What is a rebate?A rebate is a form of buying discount and is an amount paid by way of reduction, return, or refund that is paid retrospectively. It is a type of sales promotion that marketers use primarily as incentives or supplements to product sales.
Given that, a credit card company offers an annual 2% cash-back rebate on all gasoline purchases.
A family spent $5,650 on gasoline purchases over the course of a year.
Now, rebate =2% of 5650
= 2/100 ×5650
= 0.02×5650
= $113
Therefore, the family's rebate at the end of the year is $113.
Learn more about the rebate here:
https://brainly.com/question/15516502.
#SPJ2
Please help with question got stuck
Answer:
y=4x
Step-by-step explanation:
A fair 20-sided die is tossed. What is the probability that the numbers 15 or 4 or 18 are tossed?
The probability of 1 number showing up out of 20 is 1/20
The probability of 3 different numbers showing up would be 3/20
Answer: 3/20
[tex]77 \times 5 \: equal \: what \\ [/tex]
what is the answer
Answer:
385 is the result of multiply 77 by 5
Simplify 5b4×4b3 what is the answer for it
Answer:
[tex]{ \rm{ {5b}^{4} \times {4b}^{3} }}[/tex]
• from laws of indices:
[tex] \hookrightarrow \: { \boxed{ \rm{ {rx}^{n} + {px}^{m} = (r \times p) {x}^{(n + m)} }}} \\ [/tex]
• substitute:
[tex]{ \rm{ {5b}^{4} \times {4b}^{3} = (5 \times 4) {b}^{(4 + 3)} }} \\ \\ = { \boxed{ \boxed{ \rm{ \: 20 {b}^{7} \: \: }}}}[/tex]
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean = 87 and standard deviation = 25. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.)
(a) x is more than 60
(b) x is less than 110
(c) x is between 60 and 110
(d) x is greater than 125 (borderline diabetes starts at 125)
Using the normal distribution, it is found that:
a) 0.8599 = 85.99% probability that x is more than 60.
b) 0.1788 = 17.88% probability that x is less than 110.
c) 0.6811 = 68.11% probability that x is between 60 and 110.
d) 0.0643 = 6.43% probability that x is greater than 125.
In a normal distribution 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]
It 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, which is the percentile of X.In this problem:
The mean is of 87, thus [tex]\mu = 87[/tex].The standard deviation is of 25, thus [tex]\sigma = 25[/tex].Item a:
This probability is 1 subtracted by the p-value of Z when X = 60, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60 - 87}{25}[/tex]
[tex]Z = -1.08[/tex]
[tex]Z = -1.08[/tex] has a p-value of 0.1401.
1 - 0.1401 = 0.8599
0.8599 = 85.99% probability that x is more than 60.
Item b:
This probability is the p-value of Z when X = 110, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{110 - 87}{25}[/tex]
[tex]Z = 0.92[/tex]
[tex]Z = 0.92[/tex] has a p-value of 0.8212.
1 - 0.8212 = 0.1788.
0.1788 = 17.88% probability that x is less than 110.
Item c:
This probability is the p-value of Z when X = 110 subtracted by the p-value of Z when X = 60.
From the previous two items, 0.8212 - 0.1401 = 0.6811.
0.6811 = 68.11% probability that x is between 60 and 110.
Item d:
This probability is 1 subtracted by the p-value of Z when X = 125, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{125 - 87}{25}[/tex]
[tex]Z = 1.52[/tex]
[tex]Z = 1.52[/tex] has a p-value of 0.9357.
1 - 0.9357 = 0.0643.
0.0643 = 6.43% probability that x is greater than 125.
A similar problem is given at https://brainly.com/question/24863330
12. Una notaría cobra $3500 por elaborar un título de propiedad y $2000 por el acta constitu-
tiva de una empresa. En un mes realizó un total de 22 operaciones, entre títulos y actas que
representaron un ingreso total de $53000. ¿Cuántos títulos y actas se elaboraron?
Usando un sistema de ecuaciones, hay que se elaboraron 6 títulos y 16 actas.
Para el sistema, hay que:
x es el número de títulos elaborados.y es el número de actas elaboradas.Total de 22 operaciones, o sea:
[tex]x + y = 22[/tex]
$3500 por elaborar un título de propiedad y $2000 por el acta constitutiva de una empresa. Ingreso total de $53000, o sea:
[tex]3500x + 2000y = 53000[/tex]
De el primer ecuación:
[tex]y = 22 - x[/tex]
Reemplazando en la segunda:
[tex]3500x + 2000y = 53000[/tex]
[tex]3500x + 2000(22 - x) = 53000[/tex]
[tex]1500x = 9000[/tex]
[tex]x = \frac{9000}{1500}[/tex]
[tex]x = 6[/tex]
[tex]y = 22 - x = 22 - 6 = 16[/tex]
Se elaboraron 6 títulos y 16 actas.
Un problema similar es dado en https://brainly.com/question/24646137
PLS HELppppppppppppppp
Answer: B
Step-by-step explanation:
Oki so I know this becaue I study to much and because if there was an answer saying this : y=6x+3 it would be wrong because it is adding to the constant
So y=6x is proportinal because it is allways constant. I forgot this was an example sorry.
Answer:
B. since x can equal anything, but nine is in front therefore, it can be what you want, so it is B.
A machine produces electrical components. 99.7% of the components have lengths between 1.176 cm and 1.224 cm. Assuming this data is normally distributed, what are the mean and standard deviation?