Answer:
Step-by-step explanation:
Recall that distance = (rate)(time). Here the rate is 30 mph and the time 3.5 hr. The distance traveled is proportional to the time passing by. The graph of the distance function is a straight line with slope equal to the "rate" named above:
d(x) = (30 mph)x
Since x (elapsed time) can't be negative in this situation, we write the domain as 0 ≤ x ≤ 3.5 hr.
a+1, 2a-1 ,a+7 and 3a+4 are in ascending order. if the median is 27. find the value of a.
Answer:
a = 16
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order.
If there is no exact middle then the median is the average of the 2 values either side of the middle
a + 1 , 2a - 1 , a + 7 , 3a + 4
↑ middle
Then
[tex]\frac{2a-1+a+7}{2}[/tex] = 27 ( multiply both sides by 2 to clear the fraction )
3a + 6 = 54 ( subtract 6 from both sides )
3a = 48 ( divide both sides by 3 )
a = 16
The ratio of boys to girls in a group is 2:1. If there are 26 more boys than girls, work out how
many boys are there?
Answer: 52 boys
==================================================
Explanation:
g = number of girls
g+26 = number of boys because there are 26 more compared to girls
The ratio of boys to girls is 2:1, meaning g+26 is twice as large compared to g
number of boys = 2*(number of girls)
g+26 = 2g
26 = 2g-g
26 = g
g = 26
There are 26 girls and g+26 = 26+26 = 52 boys. Note how 52 is double that of 26.
will give brainliest no files will report.
suppose that prices of a certain model of new homes are normally distributed with a mean of 150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid between 150,000 and 154,200, if the standard deviation is 1,400. a.) 49.85% b.) 47.5% c.) 34% d.) 99.7%
49.85% of buyers paid between 150,000 and 154,200
The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are are within three standard deviation from the mean.
Given that mean (μ) = 150000, standard deviation σ = 1400
68% are within one standard deviation = μ ± σ = 150000 ± 1400 = (148600, 151400)
95% are within two standard deviation = μ ± 2σ = 150000 ± 2 * 1400 = (147200, 152800)
99.7% are within three standard deviation = μ ± 3σ = 150000 ± 3 * 1400 = (145800, 154200)
The buyers who paid between 150,000 and 154,200 = 99.7%/2 = 49.85%
Hence 49.85% of buyers paid between 150,000 and 154,200
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Those are the right answer
Answer:
100 yes there are trust me
7x-12y=180 7x=84
i need someone to explain step by step
Answer:
x=12,y=-8
Step-by-step explanation:
7x=84
x=84/7=12
12y=7x-180=7*12-180=84-180=-96
y=-96/12=-8
The solution of 7x-12y=180 is x = 12 and y =-8.
What is an equation?An equation is made up of two algebraic expressions with the same value and the sign "=" in between.
Given, the equation;
7x-12y=180 {equation 1}
And 7x = 84
x = 84/7
x = 12
Substitute the value of x to the equation 1,
7(12) - 12y = 180
12y = 84 - 180
y = -96/12
y = -8
Therefore, x = 12 and y = -8 is the solution.
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Gina Wilson all things algebra unit 4 homework 3 questions 12-15
Step-by-step explanation:
the essential thing to remember here (and please, burn this into your brain for life) : the sum of all angles in a triangle is always (really always) 180 degrees.
therefore, in 12 and 13 we only need to add all 3 angles, and their sum must be 180.
from there we get really all 4 answers.
the next thing to consider is when a triangle had two equal angles, then it is an isoceles triangle (the 2 sides leading away from these 2 angles are equally long). that gives us the answers for 14 and 15.
12.
3x + 18 + 7x - 58 + 2x - 8 = 180
12x - 48 = 180
12x = 228
x = 19
angle A = 3x+18 = 3×19 + 18 = 57+18 = 75 degrees
angle B = 7x-58 = 7×19 - 58 = 133-58 = 75 degrees
angle C = 2x-8 = 2×19 - 8 = 38 - 8 = 30 degrees
13.
8x - 17 + 19x + 4 + 5x + 1 = 180
32x - 12 = 180
32x = 192
x = 6
angle Q = 8x-17 = 8×6 - 17 = 48-17 = 31 degrees
angle R = 19x+4 = 19×6 + 4 = 114+4 = 118 degrees
angle S = 5x+1 = 5×6 + 1 = 30+1 = 31 degrees
14.
KL = 9x - 14
LM = 7x - 37
KM = 3x + 23
angle K = angle L
so, the sides LM and KM must be equally long. that gives us
7x - 37 = 3x + 23
4x = 60
x = 15
KL = 9x-14 = 9×15 - 14 = 135-14 = 121
LM = 7x-37 = 7×15 - 37 = 105-37 = 68
KM = 3x+23 = 3×15 + 23 = 45+23 = 68
15.
XY = 13x - 21
YZ = 8x - 6
XZ = x + 4
angle X = angle Z
so, the sides XY and ZY (or YZ) must be equally long. that gives us
13x - 21 = 8x - 6
5x = 15
x = 3
XY = 13x-21 = 13×3 - 21 = 39-21 = 18
YZ = 8x-6 = 8×3 - 6 = 24-6 = 18
XZ = x + 4 = 3+4 = 7
Given that 2x/5=3y/8, find the ratio of X:y
Answer:
[tex]\frac{2}{5} :\frac{3}{8}[/tex]
Step-by-step explanation:
First of all, answer both sides separately.
Find the value of x and simplify.
Find the value of y and simplify.
It is just like removing the variables.
A toy store had 876 games. It sold 25 of these games. How many games are at the store now?
Answer:
it now has 851 games left
Step-by-step explanation:
Lucy deposits $200 into an account that pays simple interest at a rate of 3% per year. How much Interest will she be paid in the first 3 years?
Answer:
$16.48
Step-by-step explanation:
Split this up into the four years.
For the first year, multiply 200 x .02 to get 4
Add 4 onto your total. ($204.00)
For the second year multiply 204 x .02 to get 4.08
Add 4.08 onto your total. ($208.08)
For the third year multiply 208.08 x .02 to get 4.1616 but round to 4.16
Add 4.16 onto your total ($212.24)
For the fourth year multiply 212.24 x .02 to get 4.2448 but round to 4.24
Add 4.24 onto your total (216.48)
Now subtract 200 from your total
216.48-200 = 16.48
She will be payed $16.48 in interest.
PLEASE PLEASE HELP!!!!!
The graph below shows the time it takes Michael to solve 30 multiplication
flash cards over 7 attempts. Starting with Attempt 1, how many additional
attempts did it take to improve by 60 seconds?
Answer:
A
Step-by-step explanation:
find the degree of the following polynomial and determine whether it is a monomial, trinomial, or none of these.
2x+1
None, it is a binomial because it has 2 terms. The degree is 1.
Hope this helps friend~ ^^
4. Given the following equation, find the following: 3x – 2y = 12
A. x-intercept
B. y-intercept
C. Slope
Answer:
[tex] \sqrt[6]{729} [/tex]
If x+4 Is a Factor Of The Polynomial x³-x²-14x+24 ,Then Find Other Factors.
Answer:
(x - 3) and (x - 2)
Step-by-step explanation:
Using the method of long division to divide the polynomial by x + 4
x² - 5x + 6
-------------------------------
x + 4 | x³ - x² - 14x + 24
x³ + 4x²
---------------------------
- 5x² - 14x + 24
- 5x² - 20x
-------------------------------
6x + 24
6x + 24
--------------------------------
0 0
The quotient is x² - 5x + 6 = (x - 2)(x - 3)
x³ - x² - 14x + 24 = (x - 2)(x - 3)(x + 4) ← in factored form
|
Emily spends $28 on food. This amount of 4/9 of her allowance, what is Emily’s allowance?
please help with explanation !
Answer:
$63
Step-by-step explanation:
so we want to find 9/9 of her allowance, which is 100%
we could use a proportion:
let 'a' = full allowance
[tex]\frac{28}{1}[/tex] ÷ [tex]\frac{4}{9}[/tex] = [tex]\frac{a}{1}[/tex] ÷ [tex]\frac{9}{9}[/tex]
when we divide fractions we multiply by the reciprocal to get:
28 x 9/4 = a
a = 252/4
a = 63
Accessing logarithmic Matrix..Terminal sequence pairs = 1 0 - 83 - 32 5 - 128
Answer:
7
Step-by-step explanation:
As a puppy, Cricket weighed 3 3/4 pounds. At her 1-year check-up with the vet, Cricket weighed 12.5 pounds. How much weight did Cricket gain between the time she was a puppy and her 1-year check-up? Enter your answer as a decimal or simplified mixed number in the box.
Answer:
8.75lb
Step-by-step explanation:
pls mark brainliest :)
750[tex]\geq[/tex](12+x)(24+x)
Answer:
Step-by-step explanation:
One-half of the sum of a number and 12 is less than 27. What is the number? Write as an inequality.
Answer:
Call the number we need to find a.
Inequality: (12 + a) ÷ 2 < 27
<=> 12 + a < 54
<=> a < 54 - 12
<=> a < 42
Given: AB is perpendicular to BD. Find m<1
See picture for full problem. Please and thank you!
Step-by-step explanation:
angle 5 = supplementary to 89 = 180-89 = 91°
the sum of all angles in a triangle is always 180°.
so,
angle 3 = 180 - 51 - 91 = 38°
angle 2 = complementary to 38 = 90-38 = 52°
therefore,
angle 1 = 180 - 38 - 52 = 90°
Need help i attached images below i will give brainly to who ever answers first
Answer:
1. 23
2. 32
3. 9
4. -2
Step-by-step explanation:
Answer:
Step-by-step explanation:
-14x + 21y - 4.9 = 7*(-2x) + 7*3y + 7*(-0.7)
= 7*( -2x +3y - 0.7)
-2x + 3(-5x + 1) = -2x - 15x + 3
= -17x + 3
-3x + 5(-8x - 1) = -3x - 40x - 5
= -43x - 5
-4x + 5(-5x - 1) = -4x - 25x - 5
= -29x - 5
Which TWO systems of linear equations are solved correctly?
The detailed answer is in the images I have attached.
Hope it helps you...
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En el salón de Esteban hay 28 alumna y solo han regresado a clases presenciales 45% de sus compañeros ¿cuantos alumnos faltan por regresar?
15 students are yet to return for the face to face classes
Given the following parameters
Total number of students in Esteban's classroom = 28 students
If 45% of classmates have returned to face-to-face classes, the total number of classmates that have returned to face-to-face classes is 0.45 * 28 = 12.6
People that are yet to return = 28 - 12.6
People that are yet to return = 15.4
This shows that about 15 students are yet to return for the face to face classes
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please explain this got a final tomorrow
Answer:
9/9=(1/2x+2)/x_2x_2=1/2x+21/2x=4x=8Jayden drank 2 glasses of water in the morning and 1/2 of a glass in the afternoon. How much water did Jayden drink in all?
Answer:
2.5 glasses of water
Step-by-step explanation:
Answer:
he drank 2 and a half glasses of water
Step-by-step explanation:
all u have to do is add up 2 and 1/2 to see how much he drank in all
Help snsnsnansnsnsnsns
Answer:
answer is 420-69
Step-by-step explanation:
because those numbers are great
Jon performs the following calculation. (1) (2. 0) (3. 00) (4. 000). Which value from his calculation most strongly affects the number of significant figures in the answer? 1 2. 0 3. 00 4. 0.
Answer:
(a) 1
Step-by-step explanation:
The number of significant digits in the answer will be the minimum of the numbers of significant digits in the factors. Here, the value with only 1 significant digit is (1).
1 most affects the number of significant digits in the answer
x+y=3
2x-y=0
substituition method
Answer:
(1, 2 )
Step-by-step explanation:
x + y = 3 (subtract x from both sides )
y = 3 - x → (1)
2x - y = 0 → (2)
Substitute y = 3 - x into (2)
2x - (3 - x) = 0
2x - 3 + x = 0
3x - 3 = 0 ( add 3 to both sides )
3x = 3 ( divide both sides by 3 )
x = 1
Substitute x = 1 into (1)
y = 3 - 1 = 2
solution is (1, 2 )
PLEASEEE HELP ME WITH THIS!!!
Answer:
m∠H = 10°
Step-by-step explanation:
ΔFGH is an isosceles triangle. I made a diagram, so m∠F ≅ m∠H by B.A.T(base angle theorem). This is because an isosceles triangle have to congruent sides and angles.
Diagram is attached:
-Chetan K
I beg you please help me with this
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.