For the given question, Increase in 46 by 13% equals 51.98
What is meant by percentage?
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. The percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.
By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage. The percentage calculation formula is (value/total value)100%.
For the given question,
13% of 46 equals
⇒ 13 / 100 × 46
⇒ 5.98
Now Increasing 13% of 46 =
⇒ 46 + 5.98
⇒ 51.98
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Estimate 93+ 31 by first rounding each number to the nearest ten.
Answer:
To estimate 93+31 by first rounding number to the nearest ten.
Solving 93+31, we get
[tex]93+31=124[/tex]Explanation:
Simply put, when you have a number and you want to round to the nearest tens, this means that you will need to find which 10 they are nearest to. For example, if you think about the number 53, you can easily say that it is near 50 than it is near 60. So the rounded number of 53 nearest to ten is 50.
Here, the number is 124
Rounding the number to the nearest ten.
[tex]124\approx120[/tex]Answer is: 120.
(Please help. Will be marked brainliest) Make an x -> y table from the points on the graph at left. Then write a rule for the table.
Answer: The rule (based on the table below) is y=2x-5
The table would be as follows:
X Y
(-2 , -9)
(-1 , -7)
(0 , -5)
(1 , -3)
(2 , -1)
(3 , 1)
(4 , 3)
(5 , 5)
(6 , 7)
Therefore, the rule for this table & graph is y=2x-5
Step-by-step explanation: The solution is in the slope-intercept form y=mx+b
Brainliest is always appreciated!!
Find the surface area of the prism. 10 m Not drawn to scale b 600 m2 150 m2 280 m2 d 42 m2
Here, we have a rectangular prism.
Given:
Length, L = 10 m
Width, w = 6 m
Height, h = 5 m
Let's find the surface area of the rectangular prism.
To find the surface area of the rectangular prism, apply the formula below:
[tex]SA=2(wl+hl+hw)[/tex]Input values into the formula:
[tex]\begin{gathered} SA=2(6\ast10+5\ast10+5\ast6) \\ \\ SA=2(60+50+30) \\ \\ SA=2(140) \\ \\ SA=280 \\ \\ SA=280m^2 \end{gathered}[/tex]Therefore, the Surface Area of the rectangular prism is 280 square meters
ANSWER:
c. 280 m²
if g(x)=(x + 1), for what value of x will g(x)=3?A) 1B) 2C) 3D) 4
Given
[tex]g(x)=x+1[/tex]You need to calculate the value of x for g(x)=3, replace it in the equation as follows:
[tex]3=x+1[/tex]And calculate for x, to do so, you can pass the "+1" to the other side of the equal sign by performin the oposite operation "-1" to both sides:
[tex]\begin{gathered} 3-1=x+1-1 \\ 2=x \end{gathered}[/tex]For x=2 g(x)=3
Jim has a total of 77 red and Blue marbles. The number of blue marbles is five more than twice the number of red marbles.A. Write a pair of linear equations to represent the information. Be sure to state what the variables represent.B. Explain the substitution method of solving this pair of equations. Solve the equations to find the number of red marbles.
A.
Jim has a total of red and blue marbles.
Let "r" represent the number of red marbles and "b" represent the number of blue marbles, to determine the total number of marbles he has, you have to add both, so that:
[tex]r+b=77[/tex]You know that the number of blue marbles "b" is five more than twice the number of red marbles "r"
Twice the number of red marbles means that r is multiplied by 2, you can express it as "2r", and he has five more than twice the number of red marbles, then you have to add 5 to 2r. You can express the number of blue marbles as follows:
[tex]b=2r+5[/tex]B.
Using both equations you can calculate the values of b and r using the substitution method.
We know that b=2r+5, and that r+b=77, the substitution method allows us to replace the known value of b, which is "2r+5" into the equation "r+b=77", this way we will determine one equation with only one variable "r":
[tex]\begin{gathered} r+b=77\to\text{if b=2r+5} \\ r+(2r+5)=77 \end{gathered}[/tex]From this expression, you can determine the value of r, first erase the parentheses, and simplify the like terms:
[tex]\begin{gathered} r+2r+5=77 \\ 3r+5=77 \end{gathered}[/tex]Second, pass 5 to the other side of the expression by applying the opposite operation to both sides of the equal sign:
[tex]\begin{gathered} 3r+5-5=77-5 \\ 3r=72 \end{gathered}[/tex]Third, divide both sides by 3 to reach the value of r:
[tex]\begin{gathered} \frac{3r}{3}=\frac{72}{3} \\ r=24 \end{gathered}[/tex]He has 24 red marbles
29.95 per gallon * 12.25 gallons long division
First, we can multiply each number by 100 to eliminate the decimal part:
29.95 * 100 = 2995
12.25 * 100 = 1225
We can do it because 100/100 = 1 and the division is not altered.
Then, we have the following division:
1. Find a value that you can multiply by 1225 that is near or exactly 2995. After this, multiply the value by 1225 and subtract the result from 2995 (dividend).
Try with 2:
Then 2 x 1225 = 2450
_2____
1225 | 2995
- 2450
----------
545
Now the rest 545 is less than the divisor (1225). We can also see that we do not have more numbers besides the last digit of the dividend (2995). In this case, we can add a zero beside 545 to get the decimal part of the division.
We can also have to add a dot at the quotient.
That is:
_2.____
1225 | 2995
- 2450
----------
5450
We need, again, to find a number that multip
HELPPPPPPP PLEASEEE ILL GIVE BRAINLIEST
The statements about the given graph can be evaluated as follows:
Line b represents a proportional relationship: False.The constant of proportionality of y to x in line a is 1/2: False.The ratio of y-coordinate to x-coordinate of one of the points on line b is 25:8: True.Line a passes through the point (1, 5/4), so the constant of proportionality is 5/4: True.How to determine the true statements?Generally speaking, the graph of any proportional relationship is primarily modeled by a straight line and starts from the origin (0, 0) because they all have a constant of proportionality.
Mathematically, a proportional relationship can be modeled by the following equation:
y = kx
Where:
k is the constant of proportionality, rate of change, or slope.y is the numbers on the y-coordinate.x is the numbers on the x-coordinate.In this scenario, we can reasonably infer and logically deduce that line b doesn't represent a proportional relationship because its numerical value does not start from the origin (0, 0).
Additionally, the constant of proportionality of y to x in line a is never equal to 1/2 but 1.25 as shown below:
Constant of proportionality, k = y/x
Constant of proportionality = 5/4 = 10/8 = 15/12 = 20/16 = 1.25
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name the place value for each digit in the number 1,675,892
A rocket is launched straight up. What is its velocity at the top of its flight?
If a rocket is launched straight up, then the velocity at the top of its flight will be zero.
Given that the rocket is launched straight up.
We are required to find the velocity which will the be at the top of its flight.
Velocity is basically the directional speed of a object in motion as an indication of its rate of change in position as observed from a particular frame of reference and measured by a particular standard of time.
At the top of flight its velocity becomes zero but not the acceleration because it is under the effect of gravitational acceleration.
Hence if a rocket is launched straight up, then the velocity at the top of its flight will be zero.
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which of the following statements have the same result? explain each step in solving each one. 1. f(3) when f(x)=2x+32. f^-1(3) when f(x)=2x-9/33. 5y+13=4y+4(10 points)
Let's find the inverse function:
1. replace f(x) with y
[tex]y=\frac{2x-9}{3}[/tex]2. Replace every x with a y and every y with an x:
[tex]x=\frac{2y-9}{3}[/tex]3. solve for y:
[tex]y=\frac{3x+9}{2}[/tex]4. replace y with f^-1(x)
[tex]f^{-1}(x)=\frac{3x+9}{2}[/tex]Now:
[tex]f^{-1}(3)=\frac{3(3)+9}{2}=\frac{9+9}{2}=\frac{18}{2}=9[/tex]since the functions are equal for x = 3 we can conclude that they have the same result
[tex]f(3)=f^{-1}(3)[/tex]What is the solution to the equation 9k = 40.5?k = 4k = 5k = 4.25k = 4.5
Given:
9k = 40.5
We are to find the solution of the equation:
9k = 40.5
Let's make k subject of formula by dividing both sides by 9
9k/9 = 40.5/9
the 9 cancels out on the left hand side
k = 40.5/9
k = 4.5
Therefore, the solution to the equation 9k = 40.5 is 4.5
S
In the expression 5^2, the 2 represents the _________________.
A: product
B :sum
C: base
D: exponent
In the expression 5^2, the 2 represents the D. exponent.
What is exponent?Exponentiation is a mathematical process that involves the base b and the exponent or power n. An exponent is the result of multiplying a certain number or variable (such as x, y, or z) by itself.
The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself. For instance, the number 6⁴ is multiplied by itself four times,
In this case, 5² will be 5 × 5 = 25.
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On a coordinate plane, how are the locations of the points (-3, 7) and (-3,-7) related?
The two points / coordinates are (-3, 7) and (-3 , -7).
The relationship that exists between two points.
it is a reflection across x-axis.
Solution:Reflection over x-axis: A reflection or flip over the x-axis in which the x-axis is the line of reflection. The formula is: (x , y) → (x,−y) ( x , y ) → ( x , − y ) .Simply multiply the output variable by -1 to represent an equation on the x-axis: y = f(x) → y = −f(x) y = f ( x ) → y = − f ( x ).When a point is reflected across the y-axis, the y-coordinate remains unchanged, but the x-coordinate is assumed to be the additive inverse.Simply multiply the input variable by -1 to reflect an equation over the y-axis: y=f(x)→y=f(−x) y = f ( x ) → y = f ( − x ) .Given 2 coordinates, (-3, 7) and (-3,-7)
It is clear from the given points (-3, 7) and (-3, -7), that the x-coordinates are the same but the sign of the y-coordinates is opposite.If we reflect a figure across the x-axis, we change the sign of the y-coordinate while keeping the x-coordinates the same, i.e.,So the given points (-3, 7) and (-3,-7) has a relation that is it is reflection about x-axis.
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please help ill try to give brainiest
Answer:
4 cups of sugar require 14 cups of sugar
Step-by-step explanation:
Given 7/8 cup flour= 1/4 cup sugar
Required determine the cups of flour for 4 cups of sugar
Determine the cups of flour for 4 cups of sugar
First, we need to determine the unit rate for 1 cup of sugar.
This is done by multiplying both sides by 4
Next, we determine cup of flour for 4 cups of sugar.
This is done by multiplying both sides by 4
Hence;4 cups of sugar require 14 cups of sugar
I hope this helps! if it doesn't if you tell me what the options are I can try to help more.
An object falls from an airplane
that is flying at an altitude of
6400 ft. How many seconds later
will the object hit the ground? Use
the equation 16t2 = d, where d is
the distance in feet and f is the
time in seconds.
Answer:
t = 20 seconds
Step-by-step explanation:
The force of gravity upon an object results in that object accelerating at 16ft/s². By substituting 6400ft in the equation 16t² = d you get:
16t² = 6400
Next, isolate t by dividing both sides by 16
t² = 400
Now, solve for t by taking the square root of both sides
[tex]\sqrt{t^2} = \sqrt{400}[/tex]
t = 20
The Hoffmans are planning their next family night. They always have dinner out somewhere and then do something fun together. There are 2 adults and 7 children in the family. Each family member is allowed 4 meal suggestions, and each child is allowed 4 activity suggestions. Assuming no family members choose the same thing, how many different family night possibilities are there?
Explanation
Number of children = 7
Number of adults = 2
Meal Suggestion per family member=4
Activity Suggestion per child = 4
Total number of family member = (7 + 2) = 9
Therefore, total meal suggestion
[tex]9\times4\text{ =36}[/tex]Total activity suggestions
[tex]7\times4=28[/tex]Hence the number of different possibilities
[tex]36+28=64[/tex]Answer
[tex]64[/tex]Tommy wishes to retire at the age of 67 with $95,000 in savings. Determine the monthly payment into an IRA if the APR is 6.8% and he begins making payments at:Step 1: 25 years oldThe next part is finding the answer for 35 years old
Step 1
State the annuity formula
[tex]A=\frac{P[(1+\frac{r}{n})^{nt}-1]}{\frac{r}{n}}[/tex]where;
[tex]\begin{gathered} P=? \\ r=6.8\text{\%=}\frac{6.8}{100}=0.068 \\ n=12 \\ t=67-25=42 \\ A=\text{ \$95000} \end{gathered}[/tex]Step 2
Find the monthly payment from 25 years old
[tex]95000=\frac{P[(1+\frac{0.068}{12})^{42\times12}-1]}{\frac{0.068}{12}}[/tex][tex]\begin{gathered} \frac{0.068P\left[\left(1+\frac{0.068}{12}\right)^{42\times \:12}-1\right]}{\frac{0.068}{12}}=95000\times \:0.068 \\ 195.02614P=6460 \\ \frac{195.02614P}{195.02614}=\frac{6460}{195.02614} \\ P=33.1237639 \\ P\approx\text{ \$}33.12 \end{gathered}[/tex]Step 3
Find the monthly payment from 35 years old
[tex]\begin{gathered} 95000=\frac{P[(1+\frac{0.068}{12})^{32\times12}-1]}{\frac{0.068}{12}} \\ n=67-35=32 \\ \frac{P\left[\left(1+\frac{0.068}{12}\right)^{32\times \:12}-1\right]}{\frac{0.068}{12}}=95000 \\ \frac{0.068P\left[\left(1+\frac{0.068}{12}\right)^{32\times \:12}-1\right]}{\frac{0.068}{12}}=95000\times \:0.068 \\ 93.08447P=6460 \\ P=69.39933 \\ P=\text{\$69.40} \end{gathered}[/tex]Answer;
[tex]\text{ \$69.40}[/tex]The measure of the larger angle of an isosceles triangle is sixteen times the measure of each of the other two angles. Find the measure of the larger angle.
A solid has volume 2 cubic units and surface area 10 square units. The solid is dilated, and the image has volume 128 cubic units. What is the surface area of the new solid?
In this type of problem. You need to determine first the unit dimension..
The dimension of the volume is in cubic so the unit dimension will be the cube root the volume:
Let u = unit dimension
[tex]u=\sqrt[3]{V}[/tex]So we now have the unit dimension, dilating it with a scale factor of k will give as a new volume. Since it is a unit dimension, you need to take the cube of it so you will arrive with the new volume.
So the new volume will be :
[tex]V_{\text{new}}=(uk)^3[/tex]or just simply :
[tex]V_{\text{new}}=(k\sqrt[^{}3]{V})^3[/tex][tex]k=\frac{\sqrt[3]{V_{\text{new}}}}{\sqrt[3]{V}}=\sqrt[3]{\frac{V_{new}}{V}}[/tex]Solving for the scale factor k :
[tex]k=\sqrt[3]{\frac{128}{2}}=\sqrt[3]{64}=4[/tex]So now we have the scale factor of k = 4
Now for the Surface Area , the dimension of it is in square units, so the unit dimension will be the square root of the surface area :
It has almost the same formula for k, but the difference is only the cube root or the square root.
So we can state that the New surface area will be :
[tex]SA_{\text{new}}=(k\sqrt[]{SA})^2[/tex]Solving for the New surface area :
[tex]SA_{\text{new}}=(4\sqrt[]{10})^2=160[/tex]So the answer is 160 square units.
Find the zeros of each functions by factoring. F(x)=x^2+x–12
Answer
The zeros of the function exist at
x = -4 and x = 3
Explanation
We are told to find the zero of the function, that is, the roots of the function by factoring.
f(x) = x² + x - 12
At the points where the roots of the function are, it is the point where the graph of the function crosses the x-axis and f(x) = 0. So,
x² + x - 12 = 0
x² + 4x - 3x - 12 = 0
x (x + 4) - 3 (x + 4) = 0
(x + 4) (x - 3) = 0
x + 4 = 0 OR x - 3 = 0
x = -4 OR x = 3
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A box contains 52 Oz of oatmeal. I used 3 3/5 Oz for breakfast. What fraction of the cereal in the box did I use?
Multiplication equation:
Division equation:
9/130 part of cereal was used from the box of oatmeal.
Fraction of used cereal will be calculated using the formula -
Fraction = used amount of cereal/total amount of cereal
Converting used amount of cereal from mixed fraction to fraction
Used amount of cereal = (5×3 + 3)/5
Performing multiplication
Used amount of cereal = (15 + 3)/5
Performing addition
Used amount of cereal = 18/5
Calculating the fraction of cereal used
Fraction of cereal used = (18/5)/52
Fraction of cereal used = 18/(52×5)
Performing multiplication in denominator
Fraction of cereal used = 18/260
Simplifying the fraction
Fraction of cereal used = 9/130
Thus, the fraction of the cereal used is 9/130.
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Hey help me out pls I would love if you did
Firstly, we would find the fractional part of the circle and then express it as a percentage.
The circle has 4 sub-divisions and a part of it is shaded. Thus, the fractional part of the shaded area is:
[tex]\frac{1}{4}[/tex]Expressing this as percentage, we have:
[tex]\frac{1}{4}\times100=25\text{\%}[/tex]Hence, the percentage represented by the shaded area is 25%
If the average of 12, 7, 9, a, and b is 12, thenwhat is the average of a + b?
If the average of 12, 7, 9, a, and b is 12, then
what is the average of a + b?
we know that
the average is equal to
(12+7+9+a+b)/5=12
simplify
(28+a+b)/5=12
Multiply both sides by 5
28+a+b=60
isolate (a+b)
a+b=60-28
a+b=32average a+ba+b/2=32/2=16answer is 16The sum of two numbers is 12 4 times the smaller number is 1 less than 3 times the larger number
Answer: 5 and 7
Step-by-step explanation:
Let x be the smaller number and y be the larger number.
x + y = 12
4x = 3y - 1
I will solve for y by substituting for x from the first equation. (There are different ways to solve this, but for simplicity I am using the substitution method.)
x = 12 - y
4(12 - y) = 3y - 1
48 - 4y = 3y - 1
49 = 7y
y = 7
Now that I have found the larger number y, I will now plug it into the first equation and solve for x.
x + y = 12
x + 7 = 12
x = 5
Arthur found that for every 200 peasants only 10 had seen a Dane. If there were 150,000 peasants in the kingdom how many had never seen a Dane?
We can solve this problem by applying the rule of 3.
If 10 out of 200 peasants had seen a Dane, x out of 150,000 had seen a Dane.
We can calculate x as:
[tex]\begin{gathered} 200\text{ peasants}\longrightarrow10\text{ seen Dane} \\ 150,000\text{ peasants}\longrightarrow x=\frac{10}{200}\cdot150,000=0.05\cdot150,000=7,500 \end{gathered}[/tex]Out of 150,000, 7,500 had seen a Dane. Then 150,000-7,500=142,500 peasants had never seen a Dane.
Answer: 142,500 peasants had never seen a Dane.
Solve for x by "Factoring". You MUST show every level of work (like you saw in the lesson) in order to receive full credit.
x^2-x-42
=(x^2+6)+(-7x-42)
=x(x+6)-7(x+6)
=(x+6)(x-7)
keep going to solve for x
The factorization of the quadratic expression 25x² - 4 gives us (x + 6)(x - 7) where; x = -6 or 7
How to factorize a quadratic equation?We are given the quadratic equation as;
x² - x - 42
Now, this quadratic equation can be written as;
x² + 6x - 7x - 42
We can group this using algebra properties to get;
(x² + 6x) - (7x + 42)
Collecting like terms gives us;
x(x + 6) - 7(x + 6)
Thus, the factorization is;
(x + 6)(x - 7)
Thus, the values of x would be;
x + 6 = 0
x = -6
x - 7 = 0
x = 7
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zoom in8 Solve each of the following equations. Enter your final answer. All fractions must be simplified. Do not convertisersto decimals. Show your check stop for each be. 12 pts each)5 2.+13 - 336 6+y=1878910- 13 27ett
2n + 13 = 33
To solve this question, let's follow the steps below
step 1: subtract 13 from both sides
2n + 13 - 13 = 33 -13
2n = 20
step 2: divide both sides by 2
n = 20/2
n= 10
the unit price 50 oz at $4
Answer:
Each ounce cost .08
Step-by-step explanation:
4/50
I need help please!!!!!!!!!!!,,,,,,,,,,,,,,
Answer:
Step-by-step explanation:
all work is in the pics below
the check understanding question is there also
If an arithmetic sequence has terms a5 = 20 and a9 = 44, what is a15?
A.90
B.80
C.74
D.35
Based on the information given, it can be deduced that the value of the 15th term is B. 80.
In an arithmetic sequence., uₙ = a + (n-1)d
Given in the question,
[tex]a_{5}[/tex] = 20 , [tex]a_{9}[/tex] = 44
Using above formula
for [tex]a_{5}[/tex] => a + 4d = 20 ..... (i)
for [tex]a_{9}[/tex] => a + 8d = 44 ...... (ii)
Subtract (ii) from (i)
[tex]a + 8d = 44 \\- a - 4d = -20\\ -------\\ 0 + 4d = 24[/tex]
=> 4d = 24
=> d = 24/4
=> d = 6
Therefore, a will be:
a + 4d = 20 .......(i)
a + 4(6) = 20
a + 24 = 20
a = 20 - 24
a = -4
Therefore, the 15th term will be:
[tex]a_{15}[/tex] = a + (15 - 1)d
[tex]a_{15}[/tex] = a + 14d
[tex]a_{15}[/tex] = -4 + 14 x 6
[tex]a_{15}[/tex] = -4 + 14 x 6
[tex]a_{15}[/tex] = 14 x 6 - 4
[tex]a_{15}[/tex] = 80
The 15th term is 80.
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