Let the two numbers be 3x and 4x
sum =3x + 4x = 7x
7x = 133
x= 19
the numbers are :
3(19) = 57
4(19) = 76
Answer:
57 and 76
Step-by-step explanation:
Given the ratios are 3 : 4 = 3x : 4x, then
3x + 4x = 133
7x = 133 ( divide both sides by 7 )
x = 19
The numbers are
3 × 19 = 57 and 4 × 19 = 76
Jason and Shawn both begin riding their bikes from different points away from the ranger station. They both ride their bikes in the direction away from the station along the same trail.
Jason starts biking 1 mile away from the station. Jason rides at a constant speed of 20 miles per hour.
Shawn starts biking 2 miles away from the station. Shawn rides at the same constant speed as Jason.
Let y represent the total miles away from the station.
At how many hours, x, will it take Shawn to catch up with Jason?
Based on the information provided, complete each expression below and determine the number of solutions.
Answer:
No Solution
Step-by-step explanation:
Jason starts riding a bike 1 mile from the station.
Shawn starts biking 2 miles from the station.
For Jason to reach Shawn, he needs to go at a higher speed. However we know that they are going at the same constant speed. Then they will never meet.
To prove it we propose the following system of equations. Where x is the hours and y is the distance in miles.
For Jason we have:
[tex]y = 20x + 1[/tex]
For Shawn
[tex]y = 20x + 2[/tex].
We want to know when Jason and Shawn are at the same distance.
Then we write the following eqution and clear x:
[tex]20x + 1 = 20x + 2\\20x -20x + 1 = 2\\1 = 2[/tex]
Equality is not satisfied. Therefore, it has no solution.
I mean Jason and Shawn will never be the same distance
Erik spends $680 for cable television service. The cable company offers a deal that promises Erik 3 free months of cable if he signs a contract with them for $40 per month.
complete the equation below to find th number of months that Erik will have cable television service with his deal. use m to represent the number of months.
Answer:
20
Step-by-step explanation:
what is log10(2.2)= x
Answer:
Step-by-step explanation:
plug in to the calculator
Convert 40 ounces into pounds round your answer to the nearest tenth
Answer:
2.5 pounds
Step-by-step Explanation:
Since there are 16 ounces in a pound you do 40÷16, which would get you 2.49999.... But since you have to round to the nearest 10th, you would round to 2.5 pounds.
The quantity 40 ounces is equal to the quantity 2.5 pounds. Therefore, the correct answer is option A.
The given quantity is 40 ounces.
Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
We know that, there are 16 ounces in one pound.
Here, number of ounces = 40/16
= 20/8
= 10/4
= 5/2
= 2.5 pounds
Therefore, the correct answer is option A.
To learn more about the metric conversion visit:
brainly.com/question/21244256.
#SPJ6
The best command denominator for 3/4 + 5/6
Answer:
12
Step-by-step explanation:
10................/......
Answer:
-1 + √3 or -(1 - 2√3)Step-by-step explanation:
(1 + √3) (2 - √3) = 2 - √3 + 2√3 - 3 = 2 - 3 - √3 + 2√3 = -1 + √3 or -(1 - 2√3)
For this case we must simplify the following expression:
[tex](1+ \sqrt {3}) (2- \sqrt {3})[/tex]
We apply distributive property:
[tex]2- \sqrt {3} +2 \sqrt {3} - \sqrt {3} * \sqrt {3} =[/tex]
We take into account that different signs are subtracted and the sign of the major is placed:
[tex]2+ \sqrt {3} - (\sqrt {3}) ^ 2 =\\2+ \sqrt {3} -3 =[/tex]
We take into account that different signs are subtracted and the sign of the major is placed:
[tex]-1+ \sqrt {3}[/tex]
Answer:
[tex]-1+ \sqrt {3}[/tex]
a rectangle with a perimeter of 32 inches has whole-number side lengths. what is the difference between the greatest and the least areas of the rectangle?
Answer:
49
Step-by-step explanation:
Let x represent the length and y represent the width of the given rectangle. The perimeter of the rectangle will be:
Perimeter = 2(x + y)
32 = 2(x + y)
16= x + y
This means, the sum of length and width of the rectangle can be 16. Since only whole number side lengths are allowed, following are the possibilities:
Side Lengths: 15, 1 Area = 15Side Lengths: 14, 2 Area = 28Side Lengths: 13, 3 Area = 39Side Lengths: 12, 4 Area = 48Side Lengths: 11, 5 Area = 55Side Lengths: 10, 6 Area = 60Side Lengths: 9, 7 Area = 63Side Lengths: 8, 8 Area = 64Hence the largest possible value of Area is 64 and the least possible value is 15. The difference is 64 - 15 = 49
Anybody got an easy question for me to answer in any subject?
Answer: Reshma is making a necklace using green beads and purple beads in a ratio represented on the following double number line. Fill in the missing values on the diagram.
If Reshma uses 20 green beads, how many purple beads will she use?
I have no idea what to do on this someone plzzzzz help :)
Answer:
Step-by-step explanation:
Term: 3x,10
Coefficients:3
Constant: 10
You roll a 6-Sided fair die What is the P that you get a number less then 4
Answer:
The answer is 66.6%
Step-by-step explanation:
All you have to do to solve this question is 6÷4
Answer:
66.6
Step-by-step explanation:
please help me can anyone solve this what is x^2+5x-7?
Answer:
x = (-5+-sqrt(53))/2
Step-by-step explanation:
Apply the quadratic formula to this equation with a = 1, b = 5, and c = -7.
Plug it in then simplify.
Quadratic formula is x = (-b+-sqrt(b^2-4ac))/2a
may somebody help me please.
Answer:
X= -8. (-8,8)
Step-by-step explanation:
If -4x-y=24 and y = 8 then it is -4x-8=24. +8 on both sides. -4x=32. divide -4 on both sides and you get that x = -8 because 32 divided by -4 is -8.
if im right sub to my you tube channel:
Josiah Rowell
and can i get brainliest
Answer:
(-8,8)
Step-by-step explanation:
-4x-y = 24
We know that y =8
Substitute that into the equation
-4x-8 = 24
Add 8 to each side
-4x-8+8 = 24+8
-4x = 32
Divide by -4
-4x/-4 = 32/-4
x = -8
2. Delia and Beto left for school at the same time.
Delia lives 3/4 mile from school and walks at a pace of
16 minutes per mile. Beto lives 3 1/2 miles from school
and bikes at a pace of 3 minutes per mile. Who will get to
school first?
Answer:
Beto will get to the school first.
Step-by-step explanation:
We are given that Delia lives 3/4 mile from school and walks at a pace of
16 minutes per mile.
So Delia takes [tex] \frac{3}{4} \times 16 = [/tex] 12 minutes to reach school.
While Beto lives 3 1/2 miles from school and bikes at a pace of 3 minutes per mile.
So Beto takes [tex] \frac{7}{2} \times 3 = [/tex] 10.5 minutes to reach school.
Therefore, Beto will get to the school first.
PLLLLLL HELP!!!!!!!!!!!!!!!!!
Answer:
D
Step-by-step explanation:
We can use the "vertical line test" to determine whether a given graph represents a function or not.
If your vertical line intersects the graph in more than one place, the graph does NOT represent a function. Thus, D does not represent a function, as a line drawn vertically thru this graph intersects the graph multiple times.
Graph A: Note that if you draw a vertical line thru x = -2, your line will intersect the BLACK dot (-1 3/4, 0) and the EMPTY circle (-1 3/4, 3 1/4). This is OK; this graph represents a function.
A supersonic jet was flying at a constant velocity starting 8,400 kilometers west of U.S. airspace. It
flew one-third of the way to U.S. airspace in 2 hours. What was the jet's velocity?
Write your answer as a whole number.
Answer:
1,400 km/hr
Step-by-step explanation:
One third of the distance 8,400 km is 2,800 km.
The unit rate (speed) of the jet is therefore
2,800 km
--------------- = 1,400 km/hr
2 hr
-0.06 as a mixed number is what
Answer:
-3/50
Step-by-step explanation:
-0.06 = -6/100
-6/100 = -3/50
there are 28 other students in Tiana's class,not including her self. her teacher is going to randomly choose one student's name for a prize how many outcomes are possible.
I’m not sure what you mean but I will say that the probability of Tiana getting chosen is 1/29z
how do i graph y = 2x - 1
Answer:
Step-by-step explanation:
Make a table that has (x) on the left and (y) on the right. There should be a slash between them. After that, you should place the numbers (1,2,3,4,5...) on the x column or on the left. Then times the x in y = 2x - 1 with the numbers on the left and that would give the numbers on the right. Once you are done with that, then pair the numbers from the left to the right. Then simply graph it.
But always remember, left is (x) and right is (y)
The perimeter of a square is 36 inches. Find the length of a diagonal. Round your answer to the nearest tenth.
Answer:
12.7
Step-by-step explanation:
The diagonal formula is x*sqrt(2) with x being one side length.
To find the side length divide the perimeter by 4.
That gives us 9.
Then, all you have to do is multiply that by the square root of 2 and then round.
To find the diagonal of a square with a perimeter of 36 inches, calculate the side length as 9 inches and apply the Pythagorean theorem, resulting in a diagonal length of approximately 12.7 inches.
Explanation:The perimeter of a square is given as 36 inches, so to find the length of one side, we divide the perimeter by 4, since a square has four equal sides. Therefore, each side of the square is 36 inches ÷ 4 = 9 inches. To determine the length of the diagonal, we can apply the Pythagorean theorem in the square. The square's diagonal splits it into two right triangles, each with legs equal to the side of the square. If we denote the length of the diagonal as d and one side as s, the formula d² = s² + s² applies.
With both sides being 9 inches, this becomes d² = 9² + 9², leading to d² = 81 + 81 = 162. Taking the square root to find d, we get d = √162, which is approximately 12.7 inches when rounded to the nearest tenth.
While at the zoo, you saw 20 monkeys in an exhibit. Then some of the monkeys go and hide while the zoo keeper moves 5 monkeys to another area for feeding. Now you only see 8 monkeys. How many monkeys are hiding?
It would be 7.
Because 20-5-15 then 15-8=7
Please help, I'm currently confused on telling whether an absolute value equation has a solution or doesn't. For example, -5|x + 1| = 10 has no solution, and if you actually did it, the x would be -3, and 1. Meanwhile 2|x − 6| + 14 = 38 has a solution of x = −6, x = 18 and it has a solution??? I'm so confused.
11. Solve 5(2x – 3) = x – 15 + 9x for x.
Answer:
[tex]\boxed{\bold{True \ For \ All \ x}}[/tex]
Explanation:
[ Step One ] Group Like Terms
[tex]\bold{5\left(2x-3\right)=x+9x-15}[/tex]
[ Step Two ] Combine Similar Elements: [tex]\bold{x+9x=10x}[/tex]
[tex]\bold{5\left(2x-3\right)=10x-15}[/tex]
[ Step Three ] Expand [tex]\bold{5\left(2x-3\right): \ 10x-15}[/tex]
[tex]\bold{10x-15=10x-15}[/tex]
[ Step Four ] Add 15 To Both Sides
[tex]\bold{10x-15+15=10x-15+15}[/tex]
[ Step Five ] Simplify
[tex]\bold{10x=10x}[/tex]
[ Step Six ] Subtract 10x From Both Sides
[tex]\bold{10x-10x=10x-10x}[/tex]
[ Step Seven ] Simplify
[tex]\bold{0=0}[/tex]
[ [tex]\boxed{\bold{Final \ Answer}}[/tex] ]
➤ [tex]\bold{Both \ Sides \ Are \ Equal, \ True \ For \ All \ x}[/tex]
[tex]\boxed{\bold{Mordancy}}[/tex]
To solve the equation, distribute the 5 into the parentheses, combine like terms, and simplify to find that the solution for x is 0.
To solve the equation 5(2x \\- 3) = x \\- 15 + 9x for x, we start by distributing the 5 into the parentheses on the left side:
5(2x) - 5(3) = x - 15 + 9x
which simplifies to:
10x - 15 = x - 15 + 9x
Combine like terms by subtracting x from both sides:
10x - x - 15 = 9x - x - 15
Leaving us with:
9x - 15 = 8x - 15
Next, we can cancel the -15 on both sides, since they are equal and opposing, which simplifies the equation to:
9x = 8x
Subtract 8x from both sides to isolate x:
9x - 8x = 0
And we find that:
x = 0
What is the least common multiple of 10, 20, and 14?
Answer:
140
Step-by-step explanation:
The multiples of 10 are : 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, ...
The multiples of 20 are : 20, 40, 60, 80, 100, 120, 140, ....
The multiples of 14 are : 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, .....
The least common multiple of 10, 20 and 14 is 140
Which of the following combined with the equation −9x + 3y = 12 creates a system of linear equations with no solution?
Answer:
Step-by-step explanation:
You can't get an exact answer to this because there are no choices.
Add 9x to both sides.
3y = 9x + 12 Divide by 3
3y/3 = 9x/3 + 12/3 Combine
y = 3x + 4
Now to get anything at all that is parallel to this and providing no answer because there is no intersection of the two lines, just change the 4 to something else. Here's one example
y = 3x + 8
As long as the number in front of the x's is the same, they are parallel with no point in common.
A isosceles triangle
B equilateral triangle
C right triangle
D scalene triangle
Answer:
um thats a Isosceles triangle s A is correct
Step-by-step explanation:
this is because it has a pair of congruent sides and a pair of congruent angles.
can i get brainiest
Answer:
A
Step-by-step explanation:
A triangle with 2 sides equal is an isosceles triangle
Can someone help me please? Thanks
Answer:
The volume of juice is 38.4 pi in^3
Step-by-step explanation:
First we need to find the volume of the cylinder
V = pi r^2 h
We need the radius
r = d/2 = 8/2 =4
V = pi * 4^2 *12
V = pi *16*12
V = 192 pi in^3
Remember we need the exact volume so we cannot approximate pi
Now it is 20% full of juice
Multiply the volume by 20 percent
192 pi * 20%
192 pi * .20
38.4 pi
The volume of juice is 38.4 pi in^3
find the height of a right rectangular prism with surface area 286 m^2, length 10 m, and width 8 m.
I need this ASAP
Answer: The height of the right rectangular prism is 3.5 meters.
Step-by-step explanation:
To find the height of the right rectangular prism, you need to use the formula of the surface area of a rectangular prism, where [tex]l[/tex] is the lenght, [tex]w[/tex] is the width and the height is [tex]h[/tex]:
[tex]SA=2wh+2lw+2lh[/tex]
Substitute [tex]SA=286[/tex], [tex]l=10[/tex] and [tex]w=8[/tex] into the formula and solve for the height of the right rectangular prism:
[tex]SA=2wh+2lw+2lh\\\\286=2(8)h+2(10)(8)+2(10)h\\\\286=16h+160+20h\\\\286=160+36h\\\\286-160=36h\\\\126=36h\\\\\frac{126}{36}=h\\\\h=3.5\ m[/tex]
Final answer:
Using the surface area formula for a right rectangular prism, the height is calculated to be 3.5 meters after setting up the equation with given surface area, length, and width.
Explanation:
To find the height of a right rectangular prism with a given surface area, length, and width, we can use the surface area formula for a prism: SA = 2lw + 2lh + 2wh, where SA is the surface area, l is the length, w is the width, and h is the height.
Given that the surface area is 286 m2, the length is 10 m, and the width is 8 m, we can set up the equation 286 = 2(10)(8) + 2(10)h + 2(8)h.
Simplify this to 286 = 160 + 20h + 16h, which further simplifies to 286 = 160 + 36h. Subtracting 160 from both sides, we get 126 = 36h. Dividing both sides by 36 gives us h = 3.5 m.
Therefore, the height of the prism is 3.5 meters.
If 70 is increased by 30%, what is the new amount?
Answer:
91
Step-by-step explanation:
70 * .30 = 21
21 + 70 = 91
On a piece of paper use a protractor to construct a triangle with angle measures of 40 and 60 what is the measure of the third angle?
Answer:
80°
Step-by-step explanation:
The angles of a triangle must add up to 180°.
40° + 60° + missing angle = 180°
100° + missing angle = 180°
subtract 100° from both sides
missing angle = 80°
What is the sum of the first 5 prime numbers
Final answer:
The sum of the first 5 prime numbers, which are 2, 3, 5, 7, and 11, is 28.
Explanation:
The sum of the first 5 prime numbers can be calculated by identifying those numbers and adding them together. The first 5 prime numbers are 2, 3, 5, 7, and 11. When we add these numbers, the sum is calculated as follows:
2 (the first prime number)
3 (the second prime number)
5 (the third prime number)
7 (the fourth prime number)
11 (the fifth prime number)
So, the sum would be 2 + 3 + 5 + 7 + 11 = 28.