Complete question :
From points A and B, the distance between which is 1020 mi, two trains left simultaneously towards each other. The speed of one train was 10 mph greater than the speed of the other one. In 5 hours the trains had not met yet and were 170 mi apart. Find the speed of the trains.
Answer:
Train A = 80 miles per hour
Train B = 90 miles per hour
Step-by-step explanation:
Given that :
Distance between A and B = 1020
Let the speed of A = x
Speed of B = x + 10
Since they both left simultaneously;
Distance traveled after 5 hours will be :
Distance = speed * time
A = x * 5 = 5x
B = (x + 10) * 5 = 5x + 50
After the distance traveled by each of A and B, they are still 170 miles apart
Hence, distance covered after 5 hours ;
Total miles - miles left
1020 - 170 = 850 miles
Hence,
5x + 5x + 50 = 850
10x = 850 - 50
10x = 800
x = 80
Train A = 80 miles per hour
Train B = 80 + 10 = 90 miles per hour
Question 2 of 10
A cell membrane is very specific about what it allows across. How does this
help the cell?
A. It helps the cell absorb as many different molecules as possible.
B. The cell works better when it contains fewer proteins.
C. It is better for the cell if most molecules are prevented from
entering
D. Transport proteins allow only enzymes to pass through the
membrane.
SUBMIT
PREVIOUS
Answer:
I beleive the answer is C
Step-by-step explanation:
Correct me if im wrong, but im pretty sure c is the most logical answer, next to D
Identify the independent variable (domain).
5x+2y= 150
Answer:
The independent variable is x
Step-by-step explanation:
In the equation y = m x + b
m is the rate of change ⇒ constantb is the initial value ⇒ constantx is the domain ⇒ inputy is the range ⇒ outputx is the independent variable because it does not depend on any value
y is the dependent variable because it depends on the value of x
Let us solve the question
∵ 5x + 2y = 150
→ Put it in the form above by subtracting 5x from both sides
∵ 5x - 5x + 2y = 150 - 5x
∴ 2y = 150 - 5x
→ Divide each term by 2 to make the coefficient of y equal 1
∴ y = 75 - 2.5x
∴ y = -2.5x + 75
→ Compare is by the form above
∴ m = -2.5 and b = 75
∴ x is the independent variable (domain)
∴ y is the dependent variable (range)
Asher reads 2 books a week. Kyla reads 7 books a month. Sawyer reads 90 book a year. Who
reads more books?
Answer:
Asher
Step-by-step explanation:
Answer:
Asher reads more books
Step-by-step explanation:
Asher reads 2 books a week wich is about 102 books a year (because there about 52 weeks in a year)
kyla reads 7 books a month wich is 84 books a years
Sawyer reads 90 books a year
a number b divided by -3 is greater than or equal to 6
b ≤ −18 or (−∞, −18)
What is 8.89 × 1010 in standard notation?
Answer:
8978.9
Step-by-step explanation:
MULTIPLY THE THE GIVEN AND
8.89 × 1010 = 8978.9
THEN THE RESULT WOUD BE THE STANDARD NOTATION.
: What is the image after (3,7) is reflected over the x-axis?
Brainly
Got the question wrong cause the other answer here is the correct answer directly from Delta Math.
(-7, -3)
Enjoy and Happy Holidays!
Brainiest to the first CORRECT answer
Step-by-step explanation:
(9.16 * -30)= -27.48
(5.5 x 160)° 880
A student finished 45 homework problems in class.If the ratio of problems she finished to problems she still had left was 9:4 how many homework problems did she have total
Answer:
so in total, I believe that it would be.......65?
Step-by-step explanation:
well 45/9=5 and so you would have to multiply 4x5 and get 20
HELP THIS IS IMPORTANT!!!! The table shows the outputs, y, for different inputs, X: Input (x) 6 12 15 25 Output (y) 14 15 15 16 Part A: Do the data in this table represent a function? Justify your answer. (3 points) I Part B: Compare the data in the table with the relation f(x) = 7x – 15. Which relation has a greater value when x = 67 (2 points) Part C: Using the relation in Part B. what is the value of x if f(x) = 67 (5 points) (10 points)
Answer:
A) sure there is one value of y for every value of x
B) in table y = 8
in function
y = 5(11) - 21 = 55-21 = 34
C) 99 = 5 x - 21
5 x = 120
x = 24
If the sum of the greatest and smallest of 4 consecutive even integers equals 30, what is the sum of all four integers?
Answer:
The sum of all four integers is 60.
Step-by-step explanation:
Let the integers be x, x + 2, x + 4, and x + 6.
x + x + 6 = 30
2x = 24
x = 12
So x + x + 2 + x + 4 + x + 6 = 4x + 12 = 60
Answer:
________________________
After school, Maya and Naomi headed to the beach, 6 miles away. Maya decided to bike while Naomi took a bus. The graph below shows their journeys, indicating the time and distance traveled. What was the difference, in miles per hour, between Naomi's and Maya's average speeds?
Answer:
20
Step-by-step explanation:
hello just grinding
PLEASE ANSWER FAST !!!!!!!!!!!!!!
A line passes through (3, 7) and (6, 9). Which equation best represents the line?
y = 3 over 2x + 5
y = 2 over 3x + 5
y = 3x + 2
y = 2 over 3x + 2
Answer:
B. [tex]y = \frac{2}{3} x + 5[/tex]
Step-by-step explanation:
Let's use the slope equation first. The slope equation is as follows:
[tex]\frac{y2-y1}{x2-x1} = slope[/tex]
This is what is given in the equation:
Point (3,7)Point (6,9)Let's label each component of the equation using these points:
y2 = 9
y1 = 7
x2 = 6
x1 = 3
Now, plug these into the equation
[tex]\frac{9-7}{6-3} = \frac{2}{3}[/tex]
We can now eliminate A and C of the answer choices.
Now let's find the y intercept
Right now we have the following equation
[tex]y = \frac{2}{3} x+ (y intercept)[/tex]
In order to find the y intercept we need to plug in one of the given points into the equation. Let's use point (3,7).
The equation should look like this now:
[tex]7 = \frac{2}{3}(3) + (yintercept)[/tex]
Now lets solve for the y-intercept
[tex]7 = \frac{2}{3}(3) + (yintercept)\\7 = \frac{6}{3} + (yintercept)\\7 = 2 + (yintercept) \\5 = yintercept[/tex]
Now that we found the y-intercept is 5 we have our full equation!
[tex]y = \frac{2}{3} x + 5[/tex]
Hope this helps!!
- Kay
What is the first step in evaluating the expression shown below?
(12.9-3.1) 6.2-2 + 43
Answer:
Subtract 3.1 from 12.9
Hope it helped
I need help please
Help me with this one
Answer:
SSS
Step-by-step explanation:
We can see that 2 sides are equal already, and because they share a side, that side is also equal. So, side side side.
Deion divided 1/2 of a liter of plant fertilizer evenly among some smaller bottles. He put 1/8 of a liter into each bottle. How many smaller bottles did Deion fill?
Answer:
4 bottles
Step-by-step explanation:
Given
[tex]Fertilizer = \frac{1}{2}L[/tex]
[tex]Bottles = \frac{1}{8}L[/tex]
Required
Determine the number of bottles
Represent the number of bottles with N
This implies that N bottles of [tex]\frac{1}{8}L[/tex] fit into [tex]\frac{1}{2}L[/tex] of fertilizer. The relationship between them is:
[tex]Fertilizer = Bottles * N[/tex]
[tex]\frac{1}{2}L = \frac{1}{8}L* N[/tex]
[tex]\frac{1}{2} = \frac{1}{8}* N[/tex]
Multiply through by 8
[tex]8 * \frac{1}{2} = 8 * \frac{1}{8}* N[/tex]
[tex]4 = 1* N[/tex]
[tex]4 = N[/tex]
[tex]N = 4[/tex]
Hence, there are N = 4
Given: ΔDFE is isosceles with base FE; FB ≅ EC. Prove: ΔDFB ≅ ΔDEC Triangle D F E is shown. 2 lines drawn down from point D to points C and B on the base of the triangle to form 3 triangles. Complete the missing parts of the paragraph proof. We know that triangle DFE is isosceles with base FE and that segment FB is congruent to segment EC because . Segment DF is congruent to segment by the definition of isosceles triangle. Since these segments are congruent, the base angles, angles , are congruent by the isosceles triangle theorem. Therefore, triangles are congruent by SAS.
answer picture answer picture
Answer:
1. it is given
2. DE
3. DFE and DEF
4. DFB and DEC
What is the slope of the line in the graph?
Answer:
My answer would be y=2x+1
Step-by-step explanation:
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene's car had 6.4 gallons in the 14-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.90 per gallon. How much did Irene spend on gas?
Answer:
$24.96
Step-by-step explanation:
Total number of gallons irede had in his tank = 6.4gallons
Price per gallon is $3.90
To get the cost of 6.4gallons;
If 1 gallon = $3.90
6.4gallons = $x
Cross multiply
1 * x = 3.90 * 6.4
x = 24.96
Hence Irene spent $24.96 on gas
Duke ate 1.2 kilograms of dog food each day for a total of 8.4 kilograms while his owners were out of town during the month of January. He ate 0.9 kilograms of dog food each day for a total of 7.2 kilograms while his owners were out of town during the month of February. He ate 1.8 kilograms of dog food each day for a total of 10.8 kilograms while his owners were out of town during the month of March. He ate 1.5 kilograms of dog food each day for a total of 13.5 kilograms while his owners were out of town during the month of April. During which month were his owners gone for the shortest period of time?
A.
January
B.
April
C.
February
D.
March
3. FIHG is a rhombus. Find the value of x.
1
H
ZFIR = 3x + 40
R
ZFGR = x^2
F
G
Answer:
where is the rhombus
Step-by-step explanation:
What is the solution to this system of linear equations?
y − x = 6
y + x = −10
A. (−2, −8)
B. (−8, −2)
C. (6, −10)
D. (−10, 6)
Thank you if you can help me!
El 10% de los huevos de un supermercado están rotos, haya la probabilidad de que un cliente que compra media docena de huevos encuentre como mucho un huevo roto
Answer:
La probabilidad de encontrar como mucho un huevo roto es 0,8857.
Step-by-step explanation:
Podemos calcular la probabilidad de econtrar un huevo roto usando la ecuación de distribución binomial:
[tex] P (x) = \left(\begin{array}{c}n&x\end{array}\right)p^{x}(1 - p)^{n-x} [/tex]
En donde:
p: es la probablidad de encontrar huevos rotos = 10% = 0,1
x: es el número de éxitos
n: es el número de ensayos = 6 (media docena de huevos)
Ahora, como nos piden la probabilidad de enontrar como mucho un huevo roto, esto quiere decir que debemos encontar la suma de la probablidad de encontar un huevo roto con la probabilidad de encontrar ninguno roto:
[tex] P = P(0) + P(1) [/tex]
[tex] P = \left(\begin{array}{c}6&0\end{array}\right)0,1^{0}(1 - 0,1)^{6-0} + \left(\begin{array}{c}6&1\end{array}\right)0,1^{1}(1 - 0,1)^{6-1} = 0,5314 + 0,3543 = 0,8857 [/tex]
Entonces, la probabilidad de encontrar como mucho un huevo roto es 0,8857.
Espero que te sea de utilidad!
In a survey of 1,300 people who owned a certain type of car, 260 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
[tex] \frac{satisfied \: peaple}{total \: peaple} \times 100\%[/tex]
[tex] \frac{260}{1300} \times 100\% \\ = 19.23076923\%[/tex]
3g - 5 = 17
Help plz
Answer:
g = 7 1/3
Step-by-step explanation:
Add 5 to both sides so it cancels out. 3g = 22Divide both sides by 3. g = 7.333...7.333... and 7 1/3 are equivalent, so just put either one.
3. During a particular year, 42 graduating boys chose to attend a 4-year college,
while 58 boys attended a 2-year college; 84 girls chose a 4-year college, and 16
attended a 2-year college. What conclusion can be drawn about how gender and
choice of college are related?
Answer:
girls are more likely to choose a 4-year college, while boys are more likely to choose a 2-year college
Step-by-step explanation:
hope this helps :]
A triangle is sitting on a horizontal line. The bottom left interior angle of the triangle is (9 + k) degrees. The exterior angle to the bottom left interior angle is (5 k minus 3) degrees.
What is the value of k?
Answer:
The person above meh
Step-by-step explanation:
Answer:
b. 29
Step-by-step explanation:
Danica is saving money to buy a used car in six months. She needs to save $1500 for a down payment in order to be able to finance the rest. She gets paid $180 per week at her part-time job. How much money will she need to save out of every weekly paycheck to reach her savings goal of $1500 in six months? Show the calculations:
Answer:
$62.5Step-by-step explanation:
Step one:
Given data
Danica's goal is to save $1500
her pay is $180 weekly.
the duration is 6months
in a month we have 4 weeks
in 6months there are 6*4= 24 weeks
Step two:
In 24 weeks Danica's earnings will be 24*180= $4320
nevertheless, she only needs $1500 for the 24 weeks to make the down payment
So per week, she will need to save 1500/24= $62.5
I really need help with this
Answer:
a. x=11°
b. ABC=106°, BCA=33° and BAC=41°
c. Sorry but I can't see the lines l and m
Step-by-step explanation:
a. the question stated that the sum of the measures of the angles in the triangle is 180°
so therefore equate all the values in the triangle to 180°
(9x+7)+ 3(x) + (3x+8)=180°
15x+ 15=180
15x=180-15
15x=165
Divide both sides by 15
therefore x=11
b. ABC=(9x+7)
where there is x put the x value you solved for there which is 11
therefore ABC=(9×11+7)= 106°
Do the same for BCA and BAC
Please help it’s due in an hour! It’s algebra.
Answer:
You might wanna double check some of these because i might've forgot to flip some of the < and > signs but I'm pretty sure its correct
1) y = x < -18 and y = x < 18
2) y = -3 < x < 3
3) x = 1 < y < 6 (it just gets simplified)
4) x = -3 > y > -18
5) y = -2 > x and y = x < 3.5
6) y = 8.5 > x > 5.5
7) y = -5.75 < x < -3.5
8) y = 1 > x > 2.25
9) -17 < x < -5
Step-by-step explanation: