Step-by-step explanation:
Need to FinD :We have to find the numbers.[tex] \red {\frak{Given}} \begin{cases} & \sf{Two\ consecutive\ natural\ numbers.} \\ & \sf{The\ sum\ of\ the\ numbers\ is\ {\pmb{\sf{475}}}.} \end{cases}[/tex]
We know that,
The sum of the two consecutive natural numbers is 475 and we're asked to find out the numbers. So, let the two consecutive natural numbers be x and x + 1.Therefore,
[tex] \sf \dashrightarrow {x\ +\ x\ +\ 1\ =\ 475} \\ \\ \\ \sf \dashrightarrow {2x\ +\ 1\ =\ 475} \\ \\ \\ \sf \dashrightarrow {2x\ =\ 475\ -\ 1} \\ \\ \\ \sf \dashrightarrow {2x\ =\ 474} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{474}}{\cancel{2}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 237.}}}}_{\sf \blue {\tiny{First\ number}}}} [/tex]
∴ Hence, the first number is 237. Now, let us find out the second number.
[tex]\rule{200}{3}[/tex]
Second NumbeR :
x + 1237 + 1238∴ Hence, the second number is 238.
The two consecutive numbers whose sum is 475 are 237 and 238.
Let assume the two consecutive natural numbers as x and x+1.
According to the given information,
the sum of the two consecutive numbers is 475.
So, the equation can be set up as:
x + (x+1) = 475
Combining like terms, we get:
2x + 1 = 475
Subtracting 1 from both sides, we have:
2x + 1 - 1 = 475 - 1
2x = 474
Dividing both sides by 2, we find:
x = 237
Thus, the two consecutive numbers are 237 and 238.
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How do you solve |x-4| is less than or equal to 2?
Answer:
|x - 4| ≤ 2
-2 ≤ x - 4 ≤ 2
2 ≤ x ≤ 6
The value of the 6 in 5426.37 is 1/10 of the value of the 6 in which number
A. 4643.92
B. 6129.83
C. 2371.67
D. 1565.44
Answer:
D
Step-by-step explanation:
the value of 6 in 5426.37 is 6 which is 1/10 of 60 so the answer is 1565.44
a television with a 5:4 screen shows an image with a ratio of 20:12 which creates a letter boxed image. What percent of the screen area is occupied
Answer: [tex]75\%[/tex]
Step-by-step explanation:
You know that the ratio of the television's screen is [tex]5:4[/tex] . This ratio can be also written as the following fraction:
[tex]\frac{5}{4}[/tex]
The television shows an image with a ratio of [tex]20:12[/tex] which can be also written as a fraction:
[tex]\frac{20}{12}[/tex]
Set up the following proportion and solve for "x":
[tex]\frac{20}{x}=\frac{5}{4}\\\\x=\frac{4*20}{5}\\\\x=16[/tex]
Now, in order to find the percent of the screen area occupied make the following division:
[tex]\% occupied=\frac{12}{16}*100=75\%[/tex]
HELP ASAP PLZ !! Is triangle MNP a dilation of triangle JKL? Explain why or why not.
To confirm if triangle MNP is a dilation of triangle JKL, one must examine the ratios of the corresponding sides. In a dilation, a figure's size changes but its shape and the angles between its sides remain the same, and the lengths of the sides remain proportional. Without the specific measurements, it's not possible to definitively say if MNP is indeed a dilation of JKL.
Explanation:To determine if triangle MNP is a dilation of triangle JKL, we need to examine the ratios of the corresponding sides. Dilation in mathematics is a transformation that alters the size of a figure without changing its shape or the angles between its sides. In a dilation, the lengths of the sides are proportional.
For example, if triangle MNP has sides that are twice as long as the corresponding sides of triangle JKL, then MNP is a dilation of JKL by a factor of 2.
If the sides of triangle MNP do not maintain the same proportionality with triangle JKL, then triangle MNP is not a dilation of triangle JKL. Therefore, without concrete values or further details, it's difficult to definitively answer whether MNP is a dilation of JKL.
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Circle Q is shown. Secant L N and tangent P N intersect at point N outside of the circle. Secant L N intersects the circle at point M. Arc M P is y, arc L P is x, and arc M L is z.
Which equation is correct regarding the measure of ∠MNP?
m∠MNP = One-half(x – y)
m∠MNP = One-half(x + y)
m∠MNP = One-half(z + y)
m∠MNP = One-half(z – y)
Answer: FIRST OPTION.
Step-by-step explanation:
By definition, the "Angle formed by a Tangent and a Secant" is:
[tex]Angle\ formed\ by\ Tangent\ and\ Secant=\frac{1}{2}({Difference\ of\ Intercepted\ Arcs)[/tex]
In this case you can identify in the figure that the Intercepted Arcs are:
[tex]LP=x[/tex] and [tex]PM=y[/tex]
And the Angle formed by the tangent and the secant is:
[tex]\angle MNP[/tex]
Therefore, the following equation can be used to calculate the measure of the angle ∠MNP:
[tex]m\angle MNP=\frac{1}{2}(LP-PM)\\\\m\angle MNP=\frac{1}{2}(x-y)[/tex]
This matches with the First option.
Answer:
A.
Step-by-step explanation:
Ellie colors 20% of the total shapes on her paper. She colors 10 shapes. Enter the number of shapes on Ellie's paper.
Answer:
50 shapes
Step-by-step explanation:
If 20% is 10 shapes, then 30% would be 15, 40% would be 20, and so forth. when you get to 100%, the answer would be 50 shapes because the numbers of shapes is half the percentage. For example, 5% is 2.5 shapes, 10% is 5 shapes, 60% is 30 shapes.
CAN EXPLAIN FURTHER
would appreciate brainliest, but I am content with just giving you an answer :)
Classify each number below as an integer or not.
Answer:
1. yes
2. no
3. yes
4. no
5. yes
Step-by-step explanation:
The method i use is if the number is not a fraction than it is an integer. besides 6 for some reason.
Here is the catch if the fraction can be simplified into a whole number than it is an integer.
what's the slope intercept for (-4,-7) and (-6,9)
Answer:
[tex]y = -8x - 39[/tex]
Step-by-step explanation:
First, find the rate of change [slope]:
-y₁ + y₂\-x₁ + x₂ = m
[tex] \frac{7 + 9}{4 - 6} = -\frac{16}{2} = -8[/tex]
Then use the Point-Slope Formula since we are given points. Now, according to this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs. It does not matter which one you choose:
y - y₁ = m(x - x₁)
y - 9 = -8(x + 6)
y - 9 = -8x - 48
+ 9 + 9
______________
y = -8x - 39
__________________________________________________________
y + 7 = -8(x + 4)
y + 7 = -8x - 32
- 7 - 7
______________
y = -8x - 39
** You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.
I am joyous to assist you anytime.
Please help
Use p(x)=x^2+4x+9. Find a polynomial r(x) such that p(x)+r(x)=2x^2-6x+14.
Find a polynomial s(x) such that p(x)+s(x)=2x^2+14
Find a polynomial t(x) such that p(x) + t(x) has degree 2 and p(x) * t(x) has degree 3.
Can you draw two triangles each having two 45° angles and one. 90° angle that are not similar justify her answer
No, you cannot draw two triangles each having two 45° angles and one 90° angle that are not similar. All 45-45-90 triangles are similar by definition because they have the same shape, i.e., their angles are the same (two 45° angles and one 90° angle). These similar figures can differ in size, but not in shape.
Explanation:No, it is not possible to draw two triangles each having two 45° angles and one 90° angle that are not similar. Let's break this down.
All triangles that have two 45° angles and one 90° angle are called 45-45-90 triangles. In a 45-45-90 triangle, the angles are always the same, so they are always similar by the definition of similar figures. Similar figures have the same shape, but not necessarily the same size. Their corresponding angles are congruent (the same) and their corresponding sides are in proportion.
Since all 45-45-90 triangles have the same angles - two 45° angles and one 90° angle - they are all similar to each other, regardless of their size. The size of the triangle does not matter, because the definition of similar figures is based on the shape, not the size. Hence, it is impossible to draw two 45-45-90 triangles that are not similar.
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Verbal expression for 3n-2
Answer:
three times a number n reduced by two.
What is the relationship between the independent and dependent variable?
Answer: Direct proportion because as the time goes up the distance goes up
is 3 power of 2 a rational,integer whole number or real
Answer:
All four sets of numbers
Step-by-step explanation:
3 to the power of 2 is 9. real numbers are all numbers, whole numbers are the counting numbers plus zero, integers are whole numbers with their opposites ( 3 and -3), rational numbers are any numbers that can be written as a fraction, or is a decimal with an end or a repeated pattern to it.
A driveway is in the shape of a rectangle 3.0 meters wide by 5.0 meters long. What is its perimeter?
Answer: I believe the answer is 18 meters
Step-by-step explanation:
Answer:
The perimeter would be 16.
Step-by-step explanation:
3.0+3.0=6
5.0+5.0=10
10+6=16
A reasonable estimate for 597 x 52 is
Answer: 30,000
Step-by-step explanation: Round 597 to nearest hundred and 52 to nearest ten.
Final answer:
To estimate 597 x 52, round 597 to 600 and 52 to 50, then multiply to get 600 x 50 = 30,000. Therefore, a reasonable estimate is 30,000.
Explanation:
The student has asked for a reasonable estimate for 597 x 52. To provide an estimate, we can round numbers to simplify the multiplication. In this case, we can round 597 to 600 and 52 to 50. Now, let's multiply these rounded numbers.
First, multiply 6 by 50, which equals 300.Then, since we rounded up to the hundreds, we recall that 600 is 10 times greater than 60, so we must multiply 300 by 10, which equals 3000.Therefore, a reasonable estimate for 597 x 52 is 30,000.
Darelene has 3/4 lb. of almonds. She needs to share it equally among 6 freinds. How many will each freind be given ( please show step by step explanation)
Answer:
1/8 lb. of almonds for each of her 6 friends
Step-by-step explanation:
So i'm doing this in school too. This is how I would do it.
She has 3/4 lb. of almonds, and she needs to split it with 6 friends.
So what you would do is do 3/4 ÷ 6/1
To divide one fraction by another, invert (turn upside-down) the second fraction, then multiply. Cancelling by a common factor of 3 gives 1 /8.
I hope this helps!
Which number line best represents the solution set for the inequality 3(8-4x)<6(x-5)
What is 7ab(2a+4b-6)
Answer:
[tex]14a^{2}b[/tex] + [tex]28ab^{2}[/tex] - 42ab
Step-by-step explanation:
The expression 7ab(2a+4b-6) simplifies as 14a^2b + 28ab^2 - 42ab by distributing 7ab to each number within the parentheses.
Explanation:This question involves distribution which is a property in Mathematics. To simplify the expression
7ab(2a+4b-6), you need to distribute or multiply 7ab with each number within the parentheses. When we do this step-by-step:
7ab times 2a = 14a2b7ab times 4b = 28ab27ab times -6 = -42abSo, the expression 7ab(2a+4b-6) simplifies as 14a2b + 28ab2 - 42ab.
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last question of my homework pls <3
Answer:
J(2, 5 )
Step-by-step explanation:
Using the section formula
[tex]x_{J}[/tex] = [tex]\frac{1(-2)+2(4)}{2+1}[/tex] = [tex]\frac{-2+8}{3}[/tex] = [tex]\frac{6}{3}[/tex] = 2
[tex]y_{J}[/tex] = [tex]\frac{1(1)+2(7)}{2+1}[/tex] = [tex]\frac{1+14}{3}[/tex] = [tex]\frac{15}{3}[/tex] = 5
Thus J = (2, 5 )
For h(x) = x - 5, find the value of x for which h(x) = -7.
Answer:
x=2
Step-by-step explanation:
2x+1=5
2x+1−1=5−1
2x+0=4
2x=4
2x2=42
2
x2
=2
x=2
To find the value of 'x' for h(x) = -7 in the function h(x) = x - 5, you would solve the equation for 'x' which results in x = -2.
Explanation:To find the value of 'x' when h(x) = -7 for the function h(x) = x - 5, you have to solve the equation for 'x'. This involves setting the function equal to -7, and then solving for x. Here are the steps:
Set up the equation: h(x) = -7 => x - 5 = -7 Add 5 to both sides of the equation to isolate the variable 'x': x = -7 + 5 Solve the equation: x = -2
So, the value of x for which h(x) = -7 in the function h(x) = x - 5 is -2.
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Is 4x-3=2x+13 a true statement?
Answer:
It is ture.
4x-3=2x+13
2x-3=13
2x=16
x=8
5k - 7 > 5k + 8
guys I really need help!!
Answer:
Step-by-step explanation:
What is the solution to this equation?
7x – 3(х – 6) = 30
A.x= 12
B.х = 6
C. х = 3
D. x= 9û
Answer:
x = 3
Step-by-step explanation:
[tex]7x-3(x+6)=30[/tex]
Isolate the variable by dividing each side by factors that don't contain the variable.
6(k-5)<-6, solve for k
Answer:
k > 4
Step-by-step explanation:
Answer:
k< 4
Step-by-step explanation:
6(k-5)<-6
divid by : 6 (k-5)<-1
add : 5 k<-1+5
k< 4
is 0.9 repeating a rational or irrational number
Answer:
rational
Step-by-step explanation:
it is rational
a rational number is that which is non-terminating (a number which cannot be terminated) and repeating . So 0.99999…. aquires both repeating and non-terminating property . Hence it is a rational number .
Please answer with a detailed explanation. Thank you!
Answer:
This answer is 8
Step-by-step explanation:
It actually is very simple. For this question you do not even need the g(x) equation to continue, so put it aside for now. F(x) means that whatever number that will take the place of x will be used in this equation. If f(x)=3x-1, then f(3)=3(3)-1
This happens because the 3 in f(3 tells you to substitute x for 3 in the equation. ) So just plug in 3 for x and solve to get the answer 8.
Answer:
This answer is 8
Step-by-step explanation:
This box holds 4 crates of eggs each holds 6 dozen eggs how many eggs are in a eggs are in the box when it is full.
Each crate holds 6 dozen eggs.
1 dozen = 12 eggs.
Multiply 12 by 6 to get the total number of eggs per crate:
6 x 12 = 72 eggs per crate.
The box holds 4 crates, multiply the number of each in a crate by the number of crates:
72 eggs x 4 crates = 288 total eggs.
if 3 pizzas serve 12 people, how many pizzas are needed for a pizza party with 68 people
Answer:
17
Step-by-step explanation:
if 3 pizzas serve 12 people then 17 pizzas can serve 68 people.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, 3 pizzas serve 12 people.
Assuming y = kx.
12 = 3k.
k = 4.
Now,
68 = 4x.
x = 17
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Malik stops at the grocery store to buy a bag of diapers and 2 cans of formula. He spends a total of $37. The next week he stops and buys 2 bags of diapers and 5 cans of formula for a total of $87. How much does a bag of diapers cost? How much is one can of formula?
Answer:
The cost of one bag of diapers is $11 and the cost of one can of formula is $13
Step-by-step explanation:
Let
x -----> the cost of one bag of diapers
y ----> the cost of one can of formula
we know that
[tex]x+2y=37[/tex] -----> equation A
[tex]2x+5y=87[/tex] ----> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both graphs
The solution is the point (11,13)
see the attached figure
therefore
The cost of one bag of diapers is $11 and the cost of one can of formula is $13
Final answer:
The cost of one bag of diapers is $11, and the cost of one can of formula is $13, as determined by solving a system of two linear equations that describe Malik's purchases.
Explanation:
The student is presented with a system of linear equations based on the purchases made by Malik at different times. The purchases involve a bag of diapers and cans of formula, with the total amounts spent being provided. This information can be turned into a system of equations to solve for the price of one bag of diapers and the price of one can of formula.
Let D represent the cost of one bag of diapers and F represent the cost of one can of formula. From the given information, we can construct the following equations:
D + 2F = $37 (Equation 1: One bag of diapers and two cans of formula cost $37)
2D + 5F = $87 (Equation 2: Two bags of diapers and five cans of formula cost $87)
Now, let's solve this system of equations using the method of substitution or elimination. For simplicity, let's use the elimination method:
Multiply Equation 1 by 2, so it can be arranged to eliminate D:
2D + 4F = $74
Subtract Equation 1 modified from Equation 2:
(2D + 5F) - (2D + 4F) = $87 - $74,
which simplifies to F = $13.
Now plug the value of F back into Equation 1:
D + 2($13) = $37,
D + $26 = $37,
therefore D = $37 - $26,
D = $11.
Therefore, the cost of a bag of diapers is $11, and the cost of one can of formula is $13.
You are on a hockey team your time on the ice is 12 minutes per game per season is 20 games how many minutes do you play during the season