Final Answer:
The equation that has the solution [tex]\( x = 5 \) is \( 3x + 1 = 9 \)[/tex].
Upon solving [tex]\( 3x + 1 = 9 \)[/tex], we find [tex]\( x = \frac{8}{3} \)[/tex]. However, this does not satisfy the condition [tex]\( x = 5 \)[/tex]. None of the other given equations meet the criteria, making [tex]\( 3x + 1 = 9 \)[/tex] the correct choice.
Step-by-step explanation:
The equation 3x + 1 = 9 can be solved to find the value of x.
Starting with the given equation:
[tex]\[3x + 1 = 9\][/tex]
Subtract 1 from both sides:
[tex]\[3x = 8\][/tex]
Now, divide both sides by 3:
[tex]\[x = \frac{8}{3}\][/tex]
However, we're looking for a solution where x equals 5. Since [tex]\(\frac{8}{3} \neq 5\)[/tex], the equation 3x + 1 = 9 does not satisfy the condition x = 5.
Now, let's analyze the other equations:
1. For the equation [tex]\(\frac{25}{x+4} = 9\)[/tex], if we substitute x = 5, the left side becomes [tex]\(\frac{25}{9}\)[/tex], which is not equal to 5.
2. For the equation [tex]\(\frac{x}{5} + 5 = 6\)[/tex], if we substitute x = 5, the left side becomes [tex]\(1 + 5\)[/tex], which is not equal to 6.
3. For the equation [tex]\(18 - 2x = 9\)[/tex], if we substitute x = 5, the left side becomes [tex]\(18 - 10\)[/tex], which is not equal to 9.
4. For the equation [tex]\(32 - 4x = 12\)[/tex], if we substitute x = 5, the left side becomes [tex]\(32 - 20\),[/tex] which is not equal to 12.
5. For the equation [tex]\(11 + 6x = 22\)[/tex], if we substitute x = 5, the left side becomes[tex]\(11 + 30\)[/tex], which is not equal to 22.
Therefore, the only equation among the given options that satisfies the condition x = 5 is 3x + 1 = 9.
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Answer:
Step-by-step explanation:
1. B
2. C
The answer to the first is C
Second is B. Hope I'm not mistaken.
I really need some help with this. Please no guesses, I need an exact answer. Thank you in advance.
the sum of two numbers is 78. one of the numbers is 4 more than the other number, what are the two numbers?
The two numbers are 41 & 37.
The way to solve this is by setting up an equation. We know that 2 numbers are going to equal 78, so here would be the general equation (let x represent the number we don't know):
(x) + (x + 4) = 78
Now, we need to simplify it (combine like terms):
2x + 4 = 78
Then you can solve it like any other equation. Subtract 4 on both sides:
2x = 74
Divide by 2 on both sides:
x = 37.
So, now you know one number is equal to 37 and that the other is 37 + 4.
That's how you get 37 & 41.
X = ?
X +4= ?
(X+4) + x = 78
2X + 4 = 78. Subtract 4 from both sides
You get 2X = 74. Divide both sides by 2 and you get x= 37
Now plug 37 in and you get 37 and 41
Problems 4-5
Prove statements about segments and angles
Answer:
15
15
Step-by-step explanation:
x + 20 = 35
- 20 -20
x = 15
5x - 14 = 16 + 3x
+ 14 +14
5x = 30 + 3x
-3x - 3x
2x = 30
x = 15
evaluate 15k when k=3
45, you substitute 3 in for k and multiply
Look down below.
What decimal number is represented in expanded form?
The answer is 7209.306
determine whether each relation is a function
A family has annual loan payments equal to 32% of their annual income. During the year, the loan payments total $15,680. What is the family’s annual income?
The annual Income is 49,000 $.
It is required to find the family’s annual income.
What is arithmetic?The arithmetic refers to working with numbers by doing addition, subtraction, multiplication, and division. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.
Given:
Say, the annual income =x $
(32/100)*x=15680
x=15680*100/32
x =49,000 $
Therefore, the annual Income is 49,000 $
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find the least common multiple of 5 10 and 15
Write 2/5 as a percent
40% would be the answer because it has to equal 100% and 2/5 of it is 40%
If you add or subtract a proton from a atom what does it become !
Removing a proton makes the atom negatively charged, adding a proton would result in a positive ion(called a cation). But addition and removal of protons is not really practical, it is an atomic reaction, Not only does it result in a charge but would change the atomic number and therefore what the element actually is.
I don't know if this will help in anyway but I hope it does!
6. In many cases, lenders allow homeowners to include their homeowners insurance premium with their monthly mortgage payment. Tim’s home is worth $279,500. If his homeowners insurance premium is $0.33 per $100, how much is added to his monthly mortgage payment for insurance?
A.$7.69
B.$76.86
C.$92.35
D.$922.35-NOT THE CORRECT ANSWER
Answer:
B. $76.86
Step-by-step explanation:
Step 1: Insurance premium is $0.33 per $100.
Step 2: In 279500, there are 2795 hundreds of dollar.
Step 3: find the premium.
2795*0.33 = 922.35
This is premium per year.
Step 4: There are 12 months in a year.
Therefore, his month mortgage payment = 922/35 = $76.86
Thank you.
if a person bikes 2.r miles in 10 minutes,how far can he bike in 1.5 hours
Sami has $500 to invest. Suppose he has the following investment options: 3% compounded annually for 4 years, 4% compounded annually for 3 years, 2.5% compounded every 2 years for 6 years, and 5% compounded annually for 2 years. Which investment will give him the most money at the end of its investment period? (Remember, the formula is A = P(1 + r)t.)
i think the answer is 5% compounded annually for 2 years.
hope it helps
Answer:
Sami should invest in 1st case, to get the maximum money.
Step-by-step explanation:
Sami has $500 to invest.
We will use the compound interest formula :
[tex]A=p(1+r/n)^{nt}[/tex]
Case 1:
p = 500
r = 3% or 0.03
t = 4
n = 1
Putting the values in formula we get,
[tex]A=500(1+0.03/1)^{4}[/tex]
[tex]A=500(1.03)^{4}[/tex]
A = $562.75
Case 2:
p = 500
r = 4% or 0.04
n = 1
t = 3
Putting the values in formula we get,
[tex]A=500(1+0.04/1)^{3}[/tex]
[tex]A=500(1.04)^{3}[/tex]
A = $562.43
Case 3:
p = 500
r = 2.5% or 0.025
n = 3
t = 6
Putting the values in formula we get,
[tex]A=500(1+0.025/3)^{6}[/tex]
[tex]A=500(1.0083)^{6}[/tex]
A = $525.42
Case 4:
p = 500
r = 5% or 0.05
n = 1
t = 2
Putting the values in formula we get,
[tex]A=500(1+0.05/1)^{2}[/tex]
[tex]A=500(1.05)^{2}[/tex]
A = $551.25
Comparing all values we can see that case 1 has the highest amount.
Hence, Sami should invest in 1st case, to get the maximum money.
+ (-7) = 3 Whats the answer please help
x + (-7) = 3
To solve this, add 7 on both sides
Final Answer: x = 10
X+(-7)=3
x-7=3
Add 7 on both sides.
x-7+7=3+7
x=10
a person must be at least 55 inches tall to go on the carnival ride. who can go on the ride?
Any person who is 55 inches or taller can go on the carnival ride. This is an inference made using inequalities in Mathematics. For instance, if one person is 58 inches tall and another is 52 inches tall, only the person 58 inches tall meets the height condition.
Explanation:The criterion to go on the carnival ride, as provided in the question, is that the person must be at least 55 inches tall.
Therefore, any person who is 55 inches or taller can go on the carnival ride. This is a basic application of inequalities in Mathematics.
For example, if John is 58 inches tall and Maria is 52 inches tall, only John would be able to go on the ride because he meets the height requirement (58 is greater than or equal to 55), whereas Maria does not (52 is less than 55).
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Anyone who meets or exceeds the minimum height requirement of 55 inches can go on the carnival ride, as this is the condition set by the operators.
The question pertains to a necessary condition that must be met for a person to engage in an activity at a carnival. Specifically, we're discussing a minimum height requirement for a ride. Whoever meets or exceeds this height requirement of 55 inches can go on the ride. To determine who can go on the ride, you have to measure each individual’s height and compare it with the minimum height restriction set by the carnival ride operators.What is the missing term in the factorization? 100 x 2 −36=4(5x+?)(5x−3)
100x^2−36=4(5x+3)(5x−3)
Hal has 558 cans of soup to put on a shelf.The shelf can hold 72 cans in each row. How many rows can hal make with the soupcans.
7 rows in total. However, to be more precise, it's 7.75. But you round that down to 7, so 7 exact shelves. All you do is 558 divided by 72, and you get 7.75 which is 7 shelves cause you can't half 7 and .75 shelves
Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?
First, add the profit wanted with the costs.
1500 + 200 + 100 = 1800
The total amount wanted is 1800. Each student pays $5, and so you divide by 5
1800/5 = 360
360 students must show up.
The equation used is:
Let student = s
Total cost = 200 + 100
Charge = 5n
Profit = 1500
1500 = 5n - 300 (is equation)
Hope this helps
Answer is A. 5n - 300 = 1,500
is | y | = x a function? explain.
No.
|y| = x isn't a function because it doesn't pass the vertical-line test. If you need more clarification, please let me know :)
A data set has a lower quartile of 3 and an interquartile range of 5 Which box plot could represent this data set?
Answer:
The first box plot.
Step-by-step explanation:
In a box plot, the lower quartile is the right hand side of the box. In the first plot, this is 3.
The upper quartile is the left hand side of the box. In the first plot, this is 8.
The interquartile range is the difference between these two values:
8-3 = 5.
Answer:
the first option
Step-by-step explanation:
7/11 x 22/28 use gcf
Answer: 1/2
Step-by-step explanation:
7
11
×
22
28
=
7 × 22
11 × 28
=
154
308
=
154 ÷ 154
308 ÷ 154
=
1/2
Whats a multiple of 3 thats not a perfect cube?
9 as 9 = 3×3 is square not cube
which of the following is an equivalent form of the expression 15x+24ax?
39ax
39(a+2x)
(5+8a)x
15+24a)x
(15+24a)x
Because when using distributed
15(x)+24a(x)
Is
15x+24ax
Plzzzzz help me due tomorrow first one gets marked brainliest
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The geometric probability of throwing a bag through a cornhole board is about 5%. The rectangular dimensions of the board is 24" by 48".
What is the approximate area of the hole in square inches?
Answer:
The answer is .4sqr ft
Step-by-step explanation:
That board is 2 feet by 4 feet:
Area = 2 x 4 = 8 sq. ft.
The hole will have an area that is 5% of this value.
8 sq. ft x 0.05 = 0.4 sq. ft.
Answer:
0.4 sq. ft.
That would be 24 inches the cornholes probability is due to the angles and geometric force. If you throw it at the 24 by 48 dimension of thee board the probability for it to actually go in is a small but more likely chance. if you tweak how hard you are tossing' it the more results you will get of width and distance from the hole. Eventually tho you will indefinitely get it in to the hole.
hope brainy birdy helped you out lol here is me... hope that you get 100% buddy good luck!!!This is Function or no? Can you help me please?)
Only 19 is a function because a function only has one y value for every x value. For the other graphs, there are at least two y values for each x value.
(3 x 10^6) x (3 x 10^ 5)
Answer:
[tex]9*10^{11}[/tex]
Step-by-step explanation:
we have
[tex](3*10^{6})*(3*10^{5})[/tex]
we know that
[tex](a*10^{b})*(a*10^{c})=(a*a)*10^{(b+c)}[/tex] -----> the bases are multiplied and the exponents are added up
so
in this problem
[tex](3*10^{6})*(3*10^{5})=(3*3)*10^{(6+5)}[/tex]
[tex]=9*10^{11}[/tex]
Write the expression in simplest form (-11/2x+3)-2(-11/4x-5/2)
This expression would equal to 8.
Answer:
8
Step-by-step explanation:
A parabola's focus is at (0,-2) and its directrix is at y=2. What is the equation for the parabola?
The equation of the parabola with focus at (0,-2) and directrix at y=2, which opens downward, is y = -1/16x².
Explanation:To find the equation of the parabola with focus at (0,-2) and directrix at y=2, we recall that a parabola is the set of all points equidistant from a point called the focus and a line called the directrix. Since the focus is below the directrix and on the y-axis, this parabola opens downwards.
Steps to Find the Parabola's Equation
Calculate the distance p between the focus and directrix, which is the absolute value of the y-coordinate of the focus minus the y-coordinate of the directrix. Here, p = 2 - (-2) = 4.
The standard form of a vertical parabola opening downwards is y = a(x - h)² + k, where (h, k) is the vertex of the parabola. In this case, the vertex lies halfway between the focus and directrix, which is at (0,0).Since the parabola opens downwards and p = 4, we have a = -1/(4p). Thus, a = -1/16.Plugging the values of h, k, and a into the standard form, we get the parabola's equation: y = -1/16(x - 0)² + 0, or simplified: y = -1/16x².