There are a couple steps while finding the scale factor so stick with me. First, the main point is to find the similar figure. You need to find the corresponding side. Now, you write the ratio of the side you got. Begin with the small one, you will get a number below one. If you start with a greater number you will get a greater than the number one.
how to simplify |x + 120| when x < -120
Start with definition of absolute value, |x|.
It says,
|x| = x, for any x >= 0 and
|x| = -x, for any x < 0
Now, instead of x, we have the expression x+120 inside the absolute value brackets:
|x+120|
Play the same game as above - what is the absolute value here?
|x+120| = x+120 for (x+120)>=0 and
|x+120| = -(x+120) for (x+120)<0
Now, recognize that the last condition (x+120)<0 is the same as writing x<-120. That is the condition in the question. Therefore the absolute value |x+120| will equal the second expression (for that condition), namely -(x+120), or -x-120.
To simplify |x + 120| when x is less than -120, you change the sign of the expression inside the absolute value to get the simplified form as -x - 120.
To simplify |x + 120| when x < -120, we need to consider the definition of absolute value. The absolute value of a number is the non-negative value of that number without regard to its sign. Since x is less than -120, x + 120 is a negative number, and to find its absolute value, we change the sign to positive.
Therefore, the simplification of |x + 120| when x < -120 is simply -(x + 120), which equals -x - 120.
What is the surface area of the regular pyramid given below?
Answer: the answer is 189 units^2
Step-by-step explanation: Apex
The surface area of the given regular pyramid is 140 units^2, calculated using the formula Surface Area = B + 1/2Pl, where B is the base area, P is the perimeter of the base, and l is the slant height.
The surface area of a regular pyramid is calculated by adding the area of the base to the total area of the triangular faces.
The formula to calculate this is: Surface Area = B + 1/2Pl, where B is the base area, P is the perimeter of the base, and l is the slant height.
Given the dimensions, 10cm is base and 7cm as a slant height, we can calculate that the base area (B) is 100 cm2 and the perimeter (P) is 40 cm.
Plugging these values into the surface area formula, we find that the surface area is 140 cm2 (100 cm2 for the base and 140 cm2 for the triangular faces).
Therefore, the correct answer is B. 140 units2.
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Lynne has $8.00 to spend on apples and oranges. Apples cost $0.65 each, and oranges cost $0.75 each. If there is no tax on this purchase and she buys 5 apples, what is the maximum number of whole oranges she can buy?
Answer:
6, she can buy 6 oranges.
After purchasing 5 apples, Lynne has $4.75 left. Since oranges cost $0.75 each, she can afford to buy a maximum of 6 whole oranges.
Explanation:The subject of this question is a real-world application of the basic mathematics principle of subtraction and division.
Lynne starts with $8.00 and spends $0.65 per apple for 5 apples, which totals to $3.25. We subtract that sum from the starting amount. $8.00 - $3.25 = $4.75 remains. This remaining money is what Lynne can use to buy oranges, which cost $0.75 each.
To find out the maximum whole number of oranges she can buy, we divide the remaining money by the cost of each orange: $4.75 / $0.75 ≈ 6.33.
Since Lynne can't buy a fraction of an orange, we round down to the nearest whole number. So, Lynne can buy a maximum of 6 oranges.
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school art teacher needs 200 sticks of clay. An art shop donates 9 small boxes of clay and 6 large boxes of clay. How many more sticks will the art teacher need? Now the art teacher is going yo buy the reminder he needs in large boxes. 1 box cost $14. dollars. What is the total cost of these boxes?
Answer:
the art teacher still needs 68 sticks of clay
Step-by-step explanation:
9*10=90
6*7=42
90+42=132
200-132=68 please can you answer my newest question im so stuck
The teacher needs 74 more sticks of clay which can be bought in 7 large boxes. The total cost for these boxes is $98.
Let's solve this step by step:
Step 1: Calculate the total number of clay sticks provided by the donated boxes.
Assuming each small box contains 6 sticks of clay and each large box contains 12 sticks of clay (these are reasonable assumptions for this problem).The art shop donates 9 small boxes and 6 large boxes.Total from small boxes: 9 boxes * 6 sticks = 54 sticksTotal from large boxes: 6 boxes * 12 sticks = 72 sticksTotal donated sticks: 54 + 72 = 126 sticksStep 2: Calculate the number of additional sticks needed.
Total sticks needed: 200 sticksAlready donated: 126 sticksAdditional sticks needed: 200 - 126 = 74 sticksStep 3: Calculate the number of large boxes needed to obtain the additional 74 sticks.
Each large box contains 12 sticks.Number of large boxes required: 74 sticks / 12 sticks per box = 6.1667Since the teacher needs whole boxes, round up to the next whole number: 7 large boxesStep 4: Calculate the total cost of the boxes.
Cost per large box: $14Total cost: 7 boxes * $14 = $98Therefore, the total cost for the additional 7 large boxes of clay is $98.
Write this ratio as fraction in simplest form 20 ounces to 2 pounds
Answer:
Step-by-step explanation:
Final answer:
To convert the ratio of 20 ounces to 2 pounds into the simplest form, multiply 2 pounds by the conversion factor of 16 to equal 32 ounces. The fraction 20/32 is then simplified to 5/8, which is the simplest form of the ratio.
Explanation:
To convert the ratio of 20 ounces to 2 pounds into a fraction in simplest form, you must first know the unit equivalence between pounds and ounces, which is 1 pound = 16 ounces. Since we are converting pounds to ounces, we multiply the number of pounds by 16. Therefore, 2 pounds is equivalent to 2 x 16 = 32 ounces. Now, we have a ratio of 20 ounces to 32 ounces, which can be expressed as a fraction 20/32. To simplify, both numbers can be divided by the greatest common divisor (GCD) of 4, resulting in 5/8. Thus, the ratio of 20 ounces to 2 pounds in the simplest form is 5/8.
are the two terms on each tile like terms? sort the tiles into the appropriate categories.
Answer:
all of them are like terms except for "5x and 5" and "3ad and 2bd"
Step-by-step explanation:
like terms in math mean the same variables
Answer:
Like terms: -7y^2 and y^2 | 0.5kt and -10ktm | 6 and 9
Unlike terms: 5x and 5 | 3ad and 2bd | -4p and p^2
Skttep-by-step explanation:
Just did it
use formula A=P(1+RT) to calculate the maturity value of the simple interest loan round to two decimal places.
P=$15000 R= 8.6% T = 4 MONTHS
SO WHAT I DID WAS CHANGE 8.6% TO .086 AND 4 DIVIDED BY 12 IS .33
PLUGGED IT IN AND I GOR 15429.57 AND MY ANSER IS WRONG
Answer:
$20,160
Step-by-step explanation:
They don't have a year to pay it back. They have four months so you just use that as time.
Write the equation
A = 15,000 x (1 + 0.086 x 4)
( ) first.
0.086 x 4 = 0.344
rewrite.
A = 15,000 x (1 + 0.344)
( ) again.
1 + 0.344 = 1.344
rewrite
15,000 x 1.344 = 20,160
Hope this helped! Please mark as brainliest! thanks!
The student made a calculation error in converting 4 months into a year fraction. It should be 0.333..., not 0.33. With the correct conversion, the maturity value can be accurately calculated using the formula A=P(1+RT).
Explanation:
From the details that you've given, the student used the formula A=P(1+RT) correctly, where A is the maturity value of the loan, P stands for the principal amount, R for the rate of interest, and T for time.
In this question, P = $15000, R = 8.6%, and T = 4 months. The student correctly changed 8.6% to 0.086 (since percentage must be converted to decimal form by dividing by 100 in calculations) and also accurately converted 4 months into 0.33 (since the term of the loan is expressed in terms of a year).
However, the correct conversion of 4 months into year should be 4/12 = 0.333.... (since 1 year is equal to 12 months), not 0.33. So T = 0.333...
Let's plug in these values:
A = 15000(1+0.086*0.333...)
This will give you the accurate maturity value.
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For what value is both p^r true and q false
The disjunction p ∨ q is false when both p and q are false and is true otherwise. Upgrade to ... (The truth value of the hypothesis does not matter then.) Converse.
Solve the equation by completing the square:
8x^2 +16x=42
x = -7/2 and 3/2
//Hope this helps
Carlotta needs 12 1/4 yards of ribbon for a project. She has 5 1/4 yards of ribbon on one spool and 2 1/2 yards on another spool. How much more ribbon does she need?
Answer:
11 1/2 yards more. 5+2 is 7. 1/2 + 1/4 = 3/4. 12 1/4 - 73/4 = 11 1/2
Step-by-step explanation:
Mr. Stanton bought 2.6 yards of fabric for $8.84. What was the cost per yard?
It’s 3.4, but that’s what I think it is
What is 99.75 rounded off to the nearest whole number
Answer:
100
Step-by-step explanation:
.75 will make 99 closer to 100
The rounded-off 99.75 to the nearest whole number will be 100.
How do round any digit?To round up or down of tens place then we need to look at the unit place if it is less than 5 then we need to round down and if it is greater than 5 then we need to round up of tens digit.
In order to round to a hundred, we need to look at the tens digit if it is less than 5 then we round down and if it is 5 or greater than 5 then we will round up.
The whole number is the nondecimal number for example 2,5,7.
Given the number 99.75
The whole number around 99.75 are 99 and 100
Now,
100 - 99.75 = 0.25 and 99.75 - 99 = 0.75
Since 0.25 < 0.75
100 will be nearer to 99.75 so it will be the correct answer.
Hence "The rounded-off 99.75 to the nearest whole number will be 100".
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The number of freshmen entering college in a certain year is 621. What type of data is 621?
Continuous data
Categorical data
Discrete data
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
The number of freshmen entering college in a certain year = 621
It is considered as discrete data.
Since we know the definition of Discrete which refers to all types of data which take only numerical values.
It is based on counts.
According to question, we have given the exact number of freshmen instead of any range or interval.
Hence, Third option is correct.
Answer: The answer you the question is C. Discrete data I hope this helps :)
A long distance phone company charges $1.01 for the first 25 minutes of a call, and then 99 cents for each additional minute. A call costs $9.56. How long did it last?
Your answer is 303 minutes in $9.56
In ABC, what is the measure of angle B? I think it’s 46.
Answer:
i think it is 46
Step-by-step explanation:
triangle ABC has verticles A(0,6), B(-8, -2), and C(8,-2). A dilation with a scale factor of 1/2
and center at the origin is applied to this triangle. what are the coordinates of B' in the dilated image?
An office supply store carriers a all-in-one printer with a regular price of $240. The printer is on sale at 15% off. In addition, the store is offering a $20 mail-in rebate. How much will it cost a customer to purchase this printer, including 5% sales tax on the in-store purchase price?
Answer:
Price of the printer is = $193.20
Step-by-step explanation:
Office supply store purchased an all in one printer wit a regular price = $240
After 15% off price of the printer = $240 - 15% of $240
= [tex]240-\frac{15\times 240}{100}[/tex]
= 240 - 36
= $204
The store is offering $20 mail in rebate so the price of printer after rebate
= $204 - $20
= $184
Now price of the printer including sales tax = 184 + 5% of 184
= 184 + [tex]\frac{5\times 184}{100}[/tex]
= 184 + 9.20
= $193.20
Answer:
284.20
Step-by-step explanation:
THIS IS THE ANSWER I HAD THE SAME QUASTION!!!!!
Solve the equation above 2x+18=7x-30
Answer:
9.6
Step-by-step explanation:
✯Hello✯
↪ so first we need to 'kill' the smaller x. This can be done by taking 2x from 7x
↪ That leaves us with 18= 5x-30. Add 30 on both sides and we get 48=5x
↪ we divide by 5 on both sides
↪ that gives us 9.6
HOPE THIS HELPS
❤Gianna❤
To solve the equation 2x+18=7x-30, subtract 2x from both sides, add 30 to both sides, and divide both sides by 5 to find x = 9.
Explanation:To solve the equation 2x+18=7x-30, we need to isolate the variable x on one side of the equation. First, we can start by simplifying both sides of the equation. Subtracting 2x from both sides gives us 18 = 5x - 30. Next, we can add 30 to both sides to get rid of the -30 on the right side. This gives us 48 = 5x. Finally, divide both sides by 5 to solve for x. The final solution is x = 9.
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what is 5 17/18 simplified
Answer:
It is already simplified
Step-by-step explanation:
5 17/18 is already in it's simplest form. Glad to help
HELP IM TIMED
The triangles are isosceles and ABC:JKL what is the length of JL
Circle o has a circumference of 36 Pi centimeters what is the length of the radius r
Answer:
r = 18 cm
Step-by-step explanation:
Hello
The formula for circumference is 2*Pi*r
So you have the valur for that formula:
2*Pi*r = 36Pi
r = 36/2
r = 18 cm
Bes regards
what is the area of this ?????
Answer:600
Step-by-step explanation: all u have to do is 30* 15+5= 600 just like L*W
Answer:
75
Step-by-step explanation:
how i got my answer because if you add all of the number 10+15+15+30+5 your answer will simply be 75 hope for the best and hope for brainlist
The employer pays an amount to the Social Security Administration equal to the tax paid by the employee. is this true or false
Answer:
False
Step-by-step explanation:
The employer pays an amount to the Social Security Administration that equals the amount paid by the employee to the Social security Administration.Workers pay 6.2% of the earnings up to the cap where as the employers pay a matching amount to result to a combined contribution of 12.3% of earnings.
Which expression is equivalent to (x+1)^2-g/x+4?
Answer:
[tex]\frac{x^2+2x+1-g}{x+4}[/tex]
Step-by-step explanation:
We are given the following expression and we are to evaluate it and find the expression equivalent to it:
[tex] \frac { ( x + 1 ) ^ 2 - g } { x + 4 } [/tex]
We know that [tex](a+b)^2=a^2+2ab+b^2[/tex] so we will expand the term [tex] ( x + 1 ) ^ 2 [/tex] according to this to get:
[tex](x+1)^2=x^2+2x+1[/tex]
Therefore, we get the expression:
[tex] \frac { x ^ 2 + 2 x + 1 - g } { x + 4 } [/tex]
Answer:
x-2
Step-by-step explanation:
edge 2022
(Please help) The histogram shows the times and the amount of people who finished a local marathon. Which choice below is NOT true?
Answer:
As age increases. the number of marathon participants always increases.
Why:
After 35-39, the amount of participants per age group decreases.
The incorrect option among the options is
As age increases the umber of marathon participants always increases
What is a histogram?A histogram is a graphical representation of the distribution of a dataset. It is a type of bar chart that displays the frequency or relative frequency of different categories or ranges of a continuous variable.
Histograms provide a visual summary of the underlying probability distribution of a set of continuous or discrete data.
Th option is incorrect because the number of marathon participants started dropping from age 44
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Factor completely: x2 + 10x + 24 (Which is the right answer?)
Prime
(x + 12)(x + 2)
(x + 3)(x + 8)
(x + 6)(x + 4)
Answer:
(x + 6)(x + 4)Step-by-step explanation:
[tex]x^2+10x+24=x^2+6x+4x+24=x(x+6)+4(x+6)=(x+6)(x+4)[/tex]
the quotient of 100 and the sum of b and 24
To find the quotient of 100 and the sum of b and 24, divide 100 by the sum of b and 24.
Explanation:The quotient of 100 and the sum of b and 24 can be found by dividing 100 by the sum of b and 24. This can be expressed as:
Quotient = 100 / (b + 24)
For example, if b is 5, the sum of b and 24 is 29. So, the quotient of 100 and 29 would be approximately 3.4483.
9 + 4 (x + 2) - 3x What is the term that best describes 3 in this expression?
B. Coefficient is your awnser
For this case we have that by definition, a coefficient is a factor linked to a monomial.
Example:
[tex]-5x ^ 3[/tex]
- : It's the sign
5: It is the coefficient
x: It is the variable
3: It is the degree
Then, according to the given expression, we can conclude that the number 3 that accompanies the variable "x" is defined as a coefficient.
Answer:
Option B
Which choice shows the students listed in order from who has the least amount of money to who has the greatest amount of money
Step-by-step explanation:
Should be Emily, Morgan, Kali, Rosa
What is the measure of an inscribed angle that intercepts an arc whose measure is 70 degrees
35
70
140
None of the above
35 is the answer for this question hope it helps