Answer:
x=-2 OR x=-10 i.e.
Solution Set = {-2,-10}
Step-by-step explanation:
The equation described in words is typed and solved below:
[tex]3+4|\frac{x}{2}+3|=11 \\4|\frac{x}{2}+3|=11-3\\4|\frac{x}{2}+3|=8\\|\frac{x}{2}+3|=\frac{8}{4} \\|\frac{x}{2}+3|=2\\\frac{x}{2}+3=2 OR \frac{x}{2}+3=-2\\\frac{x}{2}=2-3 OR \frac{x}{2}=-2-3\\\frac{x}{2}=-1 OR \frac{x}{2}=-5\\x=-2ORx=-10\\[/tex]
Answer:
it is -10
Step-by-step explanation:
Describe a Whats a real-life example that you can represent by -1200
Answer:
Step-by-step explanation:
well you could say a person lost a $1200 bet on anything and go from their.
Or someone payed a bill for his Car payment of $1200
Write an expression for the difference of 6 and k.
Answer:
6-k
Step-by-step explanation:
Difference means subtraction.
Add 8 to h, then add 5 to the result
Answer:
(h+8)+5
Step-by-step explanation:
First, you need to add 8 to h, which is h+8 and then you need to add 5 to the result, which means you need to put parentheses around h+8 because you need to do that first. then your answer becomes (h+8)+5.
After adding 8 to h and then 5 to the result, the final value will be h + 13.
To perform the specified operations, you first need to add 8 to the value of h and then add 5 to the result. This can be expressed as a mathematical expression:
Result = (h + 8) + 5
Start with the value of h.
Add 8 to it, which gives you (h + 8).
Now, take the result from step 2 and add 5 to it, yielding the final result.
This process essentially means you're increasing the original value of h by 8, and then further increasing the updated value by 5. The final result will be h + 8 + 5, or simply h + 13.
So, the answer is that you will end up with a value equal to h + 13 after performing these operations.
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a+12/3=8 what is the answer to this math problem
Answer:
4
Step-by-step explanation:
a + 12/3 = 8
a + 4 = 8
a = 8 - 4
a = 4
Answer:
a=4
Step-by-step explanation:
a+12/3=8
a+4=8
a=8-4
a=4
Write 6,219 in expanded form.
Answer:
6.219*10^3
Step-by-step explanation:
The point (-2,5) satisfies the inequality y + 2x2 -7.
Answer:
false?
Step-by-step explanation:
do u mean equals? and the x is x not multiply?
The volume, V, of gas varies inversely with the pressure, P, on it. If the volume is 320 cm^3 under pressure of 40 kg/cm^2, what pressure has to be applied to have a volume of 200 cm^3?
Fill in the blank:
Answer: _________ kg/cm^2
The pressure [tex]64kg/cm^{2}[/tex] has to be applied to have a volume of [tex]200cm^{3}[/tex]
Explanation:
According to Boyle's law, for a fixed amount of gas, the volume and pressure are inversely proportional.
[tex]P_{1} \cdot V_{1}=P_{2} \cdot V_{2}[/tex]
Substituting the values, we get,
[tex]40 \times 320=P_{2} \times 200[/tex]
Dividing both sides by 200,
[tex]\frac{40 \times 320}{200}=P_{2}[/tex]
Simplifying the terms, we get,
[tex]\begin{aligned}\frac{12800}{200} &=P_{2} \\64 &=P_{2}\end{aligned}[/tex]
Thus, the pressure [tex]64kg/cm^{2}[/tex] has to be applied to have a volume of [tex]200cm^{3}[/tex]
Please Help me im confused. 20 points
Answer:
B
Step-by-step explanation:
∠ FDG = ∠ CDB = 50° ( vertical angles are congruent ), thus
∠EDG = 90° - ∠ FDG = 90° - 50° = 40° → B
The blue dot is at what value on the number line!?
Answer:
0
Step-by-step explanation:
It is counting by -2
What is 2 times one fourth
Answer:
0.5
Step-by-step explanation:
2 times 1/4 equals 0.5 or 1/2.
we can solve this equation by turning 2 into 2/1.
2/1 x 1/4 equals 1/2 or 0.5
21+x=26 what is the answer I need it done step by step
Answer: x=5
Step-by-step explanation:
21+x=26 (you need to isolate x)
-21 -21 (inverse operation to isolate x)
(subtract 21 from 26)
x=5
Answer: x = 5
Step-by-step explanation: In this problem, we want to get x by itself on one side of the equation. Since we have 21 + x, in order to get x by itself, we must subtract 21 from the left side of the equation and when we subtract 21 from the left side of the equation, we must also subtract 21 from the right side of the equation in order to keep our equation balanced.
So on the left, +25 and -25 cancel eachother out and on the right, 26 - 21 simplifies to 5 so x = 5. To check our answer, we plug 5 back in for x in the original equation and we get 21 + (5) = 26 or 26 = 26 which is a true statement so we know our answer is correct.
Martha invested a principal amount of $15,000 into a savings account that earns simple interest at a rate of 4.5% per year. How much money will she earn in interest over 6 years?
A.
$4,050
B.
$1,500
C.
$3,845
D.
4,500
Option A
The simple interest earned over 6 years is $ 4050
Solution:
Martha invested a principal amount of $15,000 into a savings account that earns simple interest at a rate of 4.5% per year
The formula for simple interest is given as:
[tex]Simple\ Interest = \frac{p \times n \times r}{100}[/tex]
Where, "p" is the principal and "n" is the number of years and "r" is the rate of interest
From given,
p = 15000
r = 4.5 %
n = 6 years
Substituting the values we get,
[tex]Simple\ Interest = \frac{15000 \times 4.5 \times 6}{100}\\\\Simple\ Interest = 150 \times 4.5 \times 6\\\\Simple\ Interest = 4050[/tex]
Thus simple interest earned over 6 years is $ 4050
Final answer:
Martha will earn $4,050 in simple interest over 6 years on her $15,000 savings account at a 4.5% annual rate. This is calculated using the simple interest formula, Interest = Principal × Rate × Time.
Explanation:
To calculate the simple interest that Martha will earn over a period of 6 years, we will use the formula for simple interest: Interest = Principal × Rate × Time. Here, the principal amount is $15,000, the annual interest rate is 4.5% (which is 0.045 in decimal form), and the time is 6 years.
Let's plug these values into the formula:
Interest = $15,000 × 0.045 × 6
Interest = $15,000 × 0.27
Interest = $4,050
Therefore, the total amount of interest Martha will earn over 6 years is $4,050, which matches option A.
The drama club is selling tickets to a play for each ticket they sell the school receives x dollars and the drama club receives the remaining amount the drama club sells 96 tickets for a total of (96x + 672) how much money does the drama club receive for each ticket that they sell
The drama club receives $7 for each ticket that they sell.
Step-by-step explanation:
Given,
Amount received by school = x dollars
Amount received by school for 96 tickets = 96x
Amount received by drama club = remaining amount after school
Total amount of 96 tickets = 96x+672
Here,
96x is the share of school
672 is the share of drama club for 96 tickets.
Therefore;
96 tickets = dollars
1 ticket = [tex]\frac{672}{96}[/tex]
1 ticket = 7 dollars
The drama club receives $7 for each ticket that they sell.
Keywords: division, addition
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Another one! This is so annoying! thank u all who are actually helping me
Answer:
10cm
Step-by-step explanation:
find the diameter of the circumference of 5cm:
d= c÷3.14
=5cm÷3.14
=1.6cm
Double 1.6cm:
1.6×2= 3.2
Find the new cicumference:
c= 3.14×d
= 3.14×3.2
= 10cm
If 1once of toppings costs. .50 how much would 11onces be
Answer:
If one ounce of toppings cost $0.50, then you would need to take $0.50*11
.5*11= 5.5
11 ounces would be $5.50
hope this helps ;)
Solve the problem.
Suppose that an open box is to be made from a square sheet of cardboard by cutting
out 2-inch squares from each corner as shown and then folding along the dotted lines.
If thebox is to have a volume of 128 cubic inches, find the original dimensions of the
sheet of cardboard.
xin.
x in.
-x
in.
- X in.
O
1) 8/2 in. by 81/2 in.
nit 1 Assignment....zip
^
Answer:
Step-by-step explanation:
Final answer:
The original dimensions of the cardboard sheet are 12 inches by 12 inches, which is calculated by setting up an equation using the provided volume of the open-top box and the size of the squares cut from each corner.
Explanation:
Solving for the Original Dimensions of the Cardboard Sheet
To solve this problem, we need to find the original dimensions of the square sheet of cardboard that will create an open-top box with a volume of 128 cubic inches after 2-inch squares are cut from each corner and the sides are folded up. Since the volume of the box (V) is given by the formula V = length x width x height, we first denote the original side length of the cardboard as x inches. After cutting out 2-inch squares from each corner, we will fold up the sides, which means the new length and width of the box will be (x - 4) inches (since we lose 2 inches on each side). The height of the box will be 2 inches, which is the size of the square cut out from each corner. Therefore, the volume of the box can be expressed as 2(x - 4)^2.
To find the value of x, we solve the equation 2(x - 4)^2 = 128. Simplifying, we get (x - 4)^2 = 64. Taking the square root of both sides, we have x - 4 = 8. Adding 4 to both sides gives us x = 12. So, the original dimension of the cardboard is 12 inches by 12 inches.
8^2+(12 divde 3 time 2)subtract by 7
please answer it might be easy i will mark brainlylist
Answer:
65
Step-by-step explanation:
Part one is always the ones 'in these: ( )'. 12/3=4 4*2=8. So now it is 8^2+8-7. 8^2 is 8*8=64. 64+8-7=64+1=65
Start by working inside the parentheses which are these things ( )
The things inside the ( ) is "12 divided by 3 times 2"
Division comes first so 12 divided by 3 = 4.
4 times 2 = 8
So now we have 8^2 + 8 - 7
In PEMDAS, Exponents come before addition and subtraction, so 8^2 is 64.
64 + 8 = 72
Lastly is subtraction
72 - 7 = 65
65 is your answer.
Can someone help? Maria, a color specialist, mixes 2 parts of white and 13 parts of red to develop a particular shade. If she creates 150 liters of the shade, what volume of white color did she use? a. 20 L c. 75 L b. 22 L d. 130 L
The volume of white color used by Maria is 20 liter
Solution:
Maria, a color specialist, mixes 2 parts of white and 13 parts of red to develop a particular shade
She creates 150 liters of the shade
Given ratio is:
2 parts of white and 13 parts of red
white : red = 2 : 13
Let the white mixed be 2x
Let the red mixed be 13x
Total shade = 150 liters
Therefore,
2x + 13x = 150
15x = 150
x = 10
Therefore, volume of white color used = 2x = 2(10) = 20
Thus, volume of white color used by Maria is 20 liter
Sergio has 10 leftover cookies and that he wants to share equally with four students from his class. How many cookies will each other four students get?
Answer:
2
Step-by-step explanation:
There is 5 people since there are 4 students then you. So you would do 10 divided by 5 which is 2.
Find the unit rate. Three medium apples have about 285 calories.
Answer:A “unit rate” is the average rate for a single unit. This is found by dividing the total amount of an item by the number of units in the group. In this case we have the ratio of (3285) Applescalories .
Step-by-step explanation:
LN is tangent to circle O at point M and QM is a diameter. Determine the measure of the following angles.
Answer:
Step-by-step explanation:
Alright, lets get started.
QM is the diameter given.
NL is the tangent given.
The tangent makes 90 degree angle with diameter.
hence the angle QML will be : 90° ............... Answer
Similarly, QMN will also be 90°
The angle PMQ is given as 27°
Hence the angle PMN will be = [tex]90-27[/tex]
Hence the angle PMN will be = [tex]63[/tex]° ..................... Answer
Hope it will help :)
What is an equation for the line with a slope of 1/3x that goes through the points (3,5)
Answer:
Therefore , Equation of Line Passing through A with slope 1/3 is
[tex]x-3y=-12[/tex]
Step-by-step explanation:
Given:
Let,
point A( x₁ , y₁) ≡ ( 3 , 5)
[tex]Slope = m =\dfrac{1}{3}[/tex]
To Find:
Equation of Line Passing through A with slope 1/3 =?
Solution:
Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,
i.e Equation in point - slope form
[tex](y-y_{1})=m(x-x_{1})[/tex]
Now on substituting the slope and point A( x₁ , y₁) ≡ ( 3 , 5) we get
[tex](y-5)=\dfrac{1}{3}(x-3)\\\\3y-15=x-3\\x-3y=-15+3=-12[/tex]
Therefore , Equation of Line Passing through A with slope 1/3 is
[tex]x-3y=-12[/tex]
ordan has 168 inches of string. He cuts the string into 6 equal pieces. He cuts another 8 inches from each piece.
How long is each piece of string?
Each piece is 20 inches long.
Step-by-step explanation:
The length pieces of the ribbon can be obtained by dividing the total length of ribbon by total number of pieces
Given
String length = 168 inches
Number of pieces = 6
So the length of each piece will be:
[tex]Length\ of\ each\ piece = \frac{Length\ of\ string}{Number\ of\ pieces}\\= \frac{168}{6}\\= 28\ inches[/tex]
Cutting 8 inches from each piece means that the length will be reduced 8 inches
[tex]Length\ after\ cutting\ 8\ inches = \ length\ of\ each\ piece - 8\\= 28-8\\=20\ inches[/tex]
Hence,
Each piece is 20 inches long.
Keywords: Division, length
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Answer:
20
Step-by-step explanation:
i have no idea
Factor the expression using the GCF.
16x+56y
Answer:
8(2x+7y)
Step-by-step explanation:
1. The circle graph represents a family's monthly budget. If the total monthly budget is $5,000, how much
does the family spend on items other than food and housing?
A.$1,000
B.$1,500
C.$3,500
D.$2,500
Answer: D. 2500
Step-by-step explanation:
If total expense is $5000 and the spend 20% on food
30% on housing
Which make is 50% on both hosing and food leaving 50% on other expenses
Which makes half of the total budget
50/100* $5000 =$2500
Answer:
D
Step-by-step explanation:
word problem for 456 divided by 6
Answer:
76
Step-by-step explanation:
456 divided by 6 equals 76. Hope that helps.
Answer
Emma made 456 cookies and she wanted to divid them to 6 friends. how manny cookies will each friend get?
Step-by-step explanation:
4. Write an equation represented by this tape diagram using these operations.
a. addition
b. subtraction
c. multiplication
d. division
Please answer a-d pleaseeee I need help :(
5. The average of 4, -8, 6, 14, -3 is
What is the denominator of zero
Answer:Any number
Step-by-step explanation:
When you make a photocopy of an image,is the photocopy a dilation?
Answer:
no bro
Step-by-step explanation:
because copy has same shape
Final answer:
A photocopy is not a dilation; dilations change size while maintaining shape, while photocopies replicate the original image at the same scale.
Explanation:
When you make a photocopy of an image, it is not considered a dilation. A dilation involves resizing an image while maintaining its shape, whereas a photocopy reproduces the original image at the same scale.
A dilation in physics refers to a transformation that changes the size of an object, typically without altering its shape. Examples of dilations can be seen in various optical processes such as lens systems and camera projections.
Photocopying is a replication process that duplicates an image onto another surface with the same proportions and characteristics as the original, making it distinct from a dilation.