The pickup truck travels 19[tex]\frac{2}{7}[/tex] Miles in gallon.
What is Unit rate?A unit rate means a rate for one of something.
Given that a pickup truck travels 45 miles on 2[tex]\frac{1}{3}[/tex] gallons of gas,
Since there are 45 miles in 7/3 gallons
So, 45*3/7 in one gallon = 19[tex]\frac{2}{7}[/tex] Miles in one gallon
Hence, The pickup truck travels 19[tex]\frac{2}{7}[/tex] Miles in gallon.
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Select the correct answer.
What is the solution to this system of equations?
3x + y= 17
x + 2y = 49
ОА.
It has no solution.
B.
It has infinite solutions.
O C.
It has a single solution: x= 15, y= 17.
OD
It has a single solution: x = -3, y= 26.
Answer:
OD. x=-3, y=26
Step-by-step explanation:
hope it helps
The nth term of a different sequence is 10n^2+5 work out the 5th term of this sequence
Answer:
255
Step-by-step explanation:
10n^2+5
where n=5
10×5²+5
10×25+5
250+5
255
The 5th term of Sequence is 255.
What is Sequence?A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).
Given:
10n² +5
Now for 5th term put n= 5 we get
10n² +5
= 10(5)² +5
= 10 x 25 + 5
= 250+ 5
= 255
hence, the 5th term is 255.
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4. Celia is making biscuits. Her recipe calls for 1/3 cup of flour, but
she only has a 1/2 cup measure. About how full should she fill the
measuring cup?
Answer:
I think it is 5/6
Step-by-step explanation:
She should do 5/6 of the way because 1/3x1/2=5/6
Answer:
16.5% full
Step-by-step explanation:
1/2 in decimal is 0.5
1/3 in decimal is 0.33
0.5x0.33=0.165
0.165 as a percentage is 16.5%
The table shows a relationship between x-and y- values which statement describes the pattern created by the values ?
Answer:
3rd one
Step-by-step explanation:
The correct pattern created by the values is,
⇒ Each value of y is determined by adding 4 to each x - values, so the pattern is additive.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
The table shows a relationship between x-and y- values.
Now, We have;
x = 2, 4, 6, 8
y = 6, 8, 10, 12
⇒ 2 + 4 = 6
⇒ 4 + 4 = 8
⇒ 6 + 4 = 10
⇒ 8 + 4 = 12
Clearly, Each value of y is determined by adding 4 to each x - values.
Hence, The pattern is additive.
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cordenadas cartesianas
Answer:
what
Step-by-step explanation:
i need help i will mark brainliest!! look at the pictures
Answer:
yes
Step-by-step explanation:
the picture is not clear
the area of rectangle is x^2-3x+2. Find a possible length and width of the rectangle.
Answer:
x - 2 and x - 1 can be possible length and width of the rectangle.
Step-by-step explanation:
Area = x² - 3x + 2
◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇
To find possible length and width we can factorize the above expression.
◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇
x² - 3x + 2 ( 2 = -1 × -2 )
x² - x - 2x + 2 ( 3 = -1 + -2 )
x(x - 1) + -2(x - 1)
(x - 2) (x - 1)
◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇
x - 2 and x - 1 can be possible length and width of the rectangle.
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A bus can travel 150 miles in 4 hours, what is the constant of proportionality per hour?
Answer:
37.5 miles per hour
Step-by-step explanation:
the domain, range, and x-intercept of a one-to-one function are shown.
Question 6 (1 point)
Erica is collecting cans for a school fundraiser. She collects 5 the first day, 10 the
second day, and 15 the third day. If the pattern continues, how many cans will she
collect on the tenth day?
50 cans
15 cans
100 cans
065 cans
Pls help, I only have ten min
how do i do this ? what does the y = 1 have to do with the reflection
because you have to flip the thing
if angle 1 is 57 degrees then whats angle 6
Answer:
So, m∠6 = 180° - x°.
Step-by-step explanation:
The answer is 180 degrees
PLEASE HURRY!! Will give brainly
Find the slope and y intercept for y = 3x - 2.
Unit 2 lesson 5 practice problem 3 in math workbook
You get 15 points if you answer this.
Answer:
what do you need help with???
The amount of money that Jacob earns based on the number of hours he works is shown in the table. Find the constant of proportionality.
Answer:
Y=7.5x
Step-by-step explanation:
8-5=3 and 60-37.5 is 22.5 divide 22.5 by 3 and you get 7.5 which is the rate that he earns an hour
Choose Yes or No to tell if the number 103 will make each equation true. 6.01 × □ = 601 No 0.305 × □ = 305 No 0.54 × □ = 540 No 0.097 × □ = 970 Yes
Answer:
Kindly check explanation
Step-by-step explanation:
Given the equations :
6.01 × □ = 601 No 0.305 × □ = 305 No 0.54 × □ = 540 No 0.097 × □ = 970 Yes
Will the number 103 will make each true?
601 / 6.01= 100 (No, not true)
305 / 0.305 = 1000 (No, not true)
540 / 0.54 = 100 (No, not true)
970 / 0.097 = 10000 (No, not true)
Hence, multiplying each of the equation above by 103 will not make any of the equations true.
A person with a mental age of 21 and a chronological age of 20 has an IQ of 105. What is the chronological age of a person with a mental age of 35 and an IQ of
Answer:
The answer is "25 years".
Step-by-step explanation:
In the question the value of IQ is missing that is = 140
Given value:
IQ= 140
MA=35
CA=?
Formula for calculating the chronological age:
[tex]\to CA = (\frac{MA}{IQ})\times 100[/tex]
[tex]= (\frac{35}{140})\times 100\\\\ = \frac{35}{14}\times 10\\\\=2.5 \times 10\\\\= 25[/tex]
Clear Mark for Review Jamal's lawn is shaped like a square with an area of 224.9 ft. Which measurement is closest to the side length of his lawn in feet?
Answer: 15 feets
Step-by-step explanation:
Given that :
Area of square shaped lawn = 224.9 ft²
Measurement closest to side length of the lawn :
Since the length is square shaped ;
Area of square formula = a²; where a = side length of the square
Area = a²
224.9 ft² = a²
Take the square root of both sides
√224.9ft² = √a²
14.996666 ft = a
a = 14.996666 ft
a = 15 ft
Hence, the side length of the lawn is closest to 15 feets
For a segment of a radio show a disc jockey can play 8 records. If there are 10 records to select from, in how many ways can the program for thid segment be arragned
Answer:
45 ways
Step-by-step explanation:
Combination method is appropriate for this question since it deals with arrangement.
i.e [tex]^{n}C_{r}[/tex] = [tex]\frac{n!}{(n - r)!r!}[/tex]
Since 8 records are to be selected from 10 available records. Then, the number of ways for the arrangement of the records can be determined as;
Let n = 10 and r = 8
[tex]^{10}C_{8} }[/tex] = [tex]\frac{10!}{(10 - 8)!8!}[/tex]
= [tex]\frac{10!}{2!8!}[/tex]
= [tex]\frac{10*9*8*7*6*5*4*3*2!}{2!8*7*6*5*4*3*2!}[/tex]
= [tex]\frac{10*9}{2}[/tex]
= 45
Therefore, the number of ways by which the records can be arranged is 45.
A line passes through (0, 2) and has a slope of 13 .
What is the equation of the line in slope-intercept form?
y=13x+2
y=13x−2
y=−13x+2
I don't know.
Answer:
y=1/3x+2
Step-by-step explanation:
Assuming that all of the '13' 's are suppost to be 1/3, it is y=1/3x+2
The equation of the line in slope intercept form is
[tex]y= \frac{1}{3} x+2[/tex]
Given :
A line passes through (0, 2) and has a slope of 1/3
The equation of a line in slope intercept form is y=mx+b
where m is the slope and b is the y intercept
From the given information , we know that slope [tex]m=\frac{1}{3}[/tex]
The line passes through (0,2) that is our y intercept b
b= 2
Replace slope [tex]m= \frac{1}{3}[/tex] and b=2 in slope intercept form y=mx+b
[tex]y= \frac{1}{3} x+2[/tex]
The equation of the line in slope intercept form is
[tex]y= \frac{1}{3} x+2[/tex]
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Two factors of –48 have a difference of 19. The factor with a greater absolute value is positive.
What is the sum of the factors?
–19
–13
13
16
Answer with no step-by-step explanation:
13
hint there are 12 inches in a foot. your family recently had a family pressure taken your aunt asked you to take a picture of the portrait using your phone and send it to her if the original size of the portrait is 3 ft by 3 ft and the scale factor is 118 what would the size of the portrait be on ylour phone
Answer:
1,416
Step-by-step explanation:
multiply 12 by 116
Someone please help me
Answer:
a
Step-by-step explanation:
The points (-1, r) and (2, 1) lie on a line with slope 2. Find the missing coordinate r
Please help!!!
Answer:
r = -5
Step-by-step explanation:
Slope = (y2 - y1)/(x2 - x1)
(-1, r)
(2, 1)
r - 1/-1 - 2 = r - 1/-3
Slope = 2
-3 x 2 = -6
-6 -(-1) = -5
-5 - 1 = -6
-6/-3 = 2
So:
r = -5
Hope this helps!
9514 1404 393
Answer:
r = -5
Step-by-step explanation:
The x-coordinate of the partially-defined point is 3 units less than the x-coordinate of the given point. The slope of 2 tells you the y-coordinate of the partial point (r) will be 2·3 = 6 units less than the y-coordinate of the given point. That is ...
r = 1 - 2·3
r = -5
__
You are given the slope of the line and a point on it, so you can write the point-slope equation of the line:
y -y1 = m(x -x1) . . . . . . . line with slope m through point (x1, y1).
For the given point and slope, this is ...
y -1 = 2(x -2)
For an x-value of -1, the corresponding y-value will be ...
r = 2(-1-2) +1 = -6 +1
r = -5
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
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
if triangle ABC=triangle DEC, and angle b=3x and angle e=6x-39, what is x
The value of x in the expression is 13.
What is a Triangle?A polygon which has three sides and three vertices is called as triangle.
The sum of all the angles of the triangle is 180°.
Given:
The triangle ABC = triangle DEC,
and angle b=3x and angle e=6x-39.
To find the value of x:
We know,
b = e
So, substituting the values,
3x = 6x - 39
3x = 39
x = 13.
Therefore, the value of x is 13.
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It rained all day on Mother's Day and the temperature dropped fourteen and seven tenth degrees. The next day the rain stopped and the temperature rose ten and nine tenths degrees. If the temperature at the beginning of Mother's Day was sixty five and eight tenths degrees, what was the temperature at the end of the day after Mother's Day?
Answer: The temperature was 1 8/10º at the end of the day after Mother's Day
Step-by-step explanation:
5 8/10º-14 7/10º=-9 1/10º at the end of Mother’s Day
-9 1/10º+10 9/10º=1 8/10º at the end of the next day after Mother’s Day
A new cookbook is becoming popular. The local bookstore ordered 4 copies in October, 6
copies in November, 9 copies in December, and 13 copies in January. If this pattern
continues, how many copies will the bookstore order in February?
Answer:
18 book copies
Step-by-step explanation:
As you can see, there is a pattern where you add the next number after x. To find where to start, let's subtract the numbers we were given:
6 - 4 = 2
9 - 6 = 3
13 -9 = 4
So our next number is to add 5 to 13: 5 + 13 = 18, so in February the bookstore will order 18 books.
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