Answer:
7x+1
Step-by-step explanation:
Question 7(Multiple Choice Worth 5 points)
(01.02 MC)
If (92)P=98, what is the value of p?
02
03
04
06
I’m back!! I feel so embarrassed that I can’t answer it. Look- my brain died in a fire. plez help lol
Answer:
30
Step-by-step explanation:
Since 5 and 6 are coprime, the least common multiple is their product, which is 30.
Answer: 30
Step-by-step explanation:
The least common multiple of two numbers, or LCM, is the smallest multiple that can divide evenly into both numbers. We can easily find the LCM by finding the primes that multiply into both numbers.
[tex]5=5\\ 6=2*3[/tex]
If there were any in common between the factorization of both numbers, we would only need to count it once. Since there weren't any, the smallest multiple of both numbers would be their product, 30.
Hence, the LCM of 5 and 6 is 30.
All digits in a dropdown number are different, and one of its digits is the average of all its digits. It has at least two digits. For example, 5021 is a dropdown number, but neither 4389 nor 6033 is a dropdown number.
Questions:
1. Find the smallest dropdown number.
2. What are the smallest and largest 4-digit dropdown numbers?
3. How many 3-digit dropdown numbers are there?
4. Is it possible for a pair of consecutive numbers to both be dropdown numbers? If not, explain why not. If it is possible, find the smallest such pair.
1. Start the search among 2-digit numbers. A dropdown number (DDN) with 2 digits is a number [tex]ab[/tex] such that
[tex]\dfrac{a+b}2 = a \implies a + b = 2a \implies b = a[/tex]
or
[tex]\dfrac{a+b}2 = b \implies a+b = 2b \implies a=b[/tex]
but both of these solutions violate the requirement that the digits are distinct, so there are no 2-digit DDNs.
A 3-digit DDN [tex]abc[/tex] is such that
[tex]\dfrac{a+b+c}3 = a \implies a+b+c = 3a \implies b+c = 2a[/tex]
or [tex]a+c=2b[/tex] if the average is [tex]b[/tex], or [tex]a+b=2c[/tex] if the average is [tex]c[/tex]. The smallest possible value for [tex]a[/tex] is 1 since we require 3 digits. Then [tex]b+c=2[/tex], and we can pick [tex]b=0[/tex] and [tex]c=2[/tex] to get the smallest DDN, 102.
2. In a 4-digit DDN [tex]abcd[/tex], we have
[tex]\dfrac{a+b+c+d}4 = a \implies a + b + c + d = 4a \implies b+c+d=3a[/tex]
or [tex]a+c+d=3b[/tex] or [tex]a+b+d=3c[/tex] or [tex]a+b+c=3d[/tex].
We're free to fix [tex]a=1[/tex] and [tex]b=0[/tex] to try to get the smallest DDN. This leaves us with [tex]c+d=3[/tex] or [tex]c+d=-1[/tex] or [tex]1+d=3c[/tex] or [tex]c=3d[/tex].
The first two cases are impossible - the only choices for [tex]c,d[/tex] such that [tex]c+d=3[/tex] are 1 and 2, and the sum of two positive integers must be positive. The smallest possible value of [tex]c[/tex] is 2; this leaves us with [tex]1+d=6[/tex] or [tex]2=3d[/tex], but the latter case is impossible because 3 does not divide 2. So [tex]d=5[/tex], and the smallest 4-digit DDN is 1025.
To find the largest DDN, start with the largest possible values for [tex]a[/tex] and [tex]b[/tex]. Let [tex]a=9[/tex] and [tex]b=8[/tex]. Then [tex]c+d=19[/tex] or [tex]c+d=15[/tex] or [tex]17+d=3c[/tex] or [tex]17+c=3d[/tex]. At most, we can have [tex]c+d=13[/tex] with 7 and 6, so the first two cases are impossible. If we maximize [tex]c=7[/tex], then either [tex]17+d=21\implies d=4[/tex] or [tex]24=3d\implies d=8[/tex] (which we don't want). So the largest 3-digit DDN is 9874.
3. I don't have an analytical solution to this, but using brute force (program) the total count is 112.
4. It is possible; consider 1249 and 1250, with digital averages
[tex]\dfrac{1+2+4+9}4=4 \text{ and } \dfrac{1+2+5+0}4=2[/tex]
which happens to be the smallest pair. (Also found with brute force.)
Can anybody give me an easy way to use prime factorization plssss
Answer: Step 1: Divide the given number by the smallest prime number. ...
Step 2: Again, divide the quotient by the smallest prime number.
Step 3: Repeat the process, until the quotient becomes 1.
Step 4: Finally, multiply all the prime factors.
Step-by-step explanation:
HELPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!! in assigned photo is the question! doesnt need to be descriptive i just need the answer please, im so behind
Answer: 11
Step-by-step explanation:
Since the smaller triangle is half of the larger triangle
5.5×2=11
Answer:
The correct answer is 11.
Step-by-step explanation:
HELP PLEASE!!!! I NEED IT ASAP!!!!!!
Answer:
x=19
Step-by-step explanation:
●Alternate angles are equal
therefore, angle WYZ= angle YWX
2x= angle YWX
●Angles within a triangle sum up to 180 degrees
=3x-5+2x+90=180
▪︎group like terms
=3x+2x+90-5=180
=5x+85=180
▪︎send all x terms to one side of the equation
=5x=180-85
=5x=95
▪︎divide both side by the coefficient of x ; 5
=x=19
VERY IMPORTANT: Mr.Rodriguez bought a jacket at $69.50, a tie at $15.50 and a raincoat at $75.35. If he received a discount of 12 1/2% on each of these items then what was his bill?
Answer:
12 1/2% DISCOUNT:
Step-by-step explanation:
Jacket: $60.81
Tie: $13.56
Raincoat: $65.93
So the average teacher salary is 61,463 per year.
The teachers in the first/second year only get 39.8%. How much money do the teachers get that are in their 1st or 2nd year?
Answer: Should be around $23,000
Step-by-step explanation:
39.8% of 61463
Mason needs a taxi ride to get from work to the gym it costs him $27.30 plus the 20% tip that he leaves. How much was Mason’s taxi ride?
how many ten digit numbers have at least two equal digits
Answer:
A ten digit number without any equal digits is a permutation of 0,1,2,3,4,5,6,7,8,9.
Assuming the first digit cannot be zero, there are 9×9! such permutations.
In total there are 9×109 ten digit numbers so you can easily calculate the probability.
Answer this. Show your work. Worth 15 points. Under 1 day. URGENT.
Answer:C
Step-by-step explanation:
volume is widht x length x depth so it is 5 x 3 x 2 = 30
Answer: C:30
Step-by-step explanation:
ur welcome
ASAP:
On a electricity bill of $14.80, mrs.miller pays only $38.76 because she pays a certain date. what percent discount is mrs.miller allowed?
Answer:
I assumed that you made a mostake and meant:
On a electricity bill of $38.76, mrs.miller pays only $14.80 because she pays a certain date. what percent discount is mrs.miller allowed?
62% approx
Step-by-step explanation:
$38.76 - $14.80 = $23.96
23.96/38.76 = 61.8%
Mrs. Miller is allowed a discount of approximately 5% on her electricity bill.
To calculate the percent discount that Mrs. Miller is allowed on her electricity bill, we can use the following formula:
Percent discount = (Discount amount / Original amount) * 100
In this case, the original amount of the bill is $40.80, and Mrs. Miller pays only $38.76, which means she receives a discount of $40.80 - $38.76 = $2.04.
Now, let's calculate the percent discount:
Percent discount = ($2.04 / $40.80) * 100 ≈ 5%
The discount is given as a percentage of the original bill amount and represents the amount saved by Mrs. Miller due to paying on a certain date or any other special offer provided by the electricity company. By paying $38.76 instead of $40.80, she saves $2.04, which is 5% of the original bill.
To learn more about discount click on,
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Please solve these integers problems
1. What is the distance between -5 and 8 on the number line?
2. Write an integer for each situation,
a.13 feet below sea level
b. A gain of 5 yards
3. In the morning, the temperature was -10 degree Celsius. By the afternoon, it had risen to -2 degree Celsius. What was the change in temperature from the morning to the afternoon
Answer:
1. 13
2a. -13
2b. 5
3. 8
Step-by-step explanation:
-5 to 8 is 13
-13 feet below cuz Below of number line
Please help! Really easy!!
___ - 2.86 = 3.57
2.5 x ____=0.625
___/5.5=0.55
I NEED SOMEONE WHO ACTUALLY KNOWS WHAT THEY’RE DOING TO ANSWER THIS QUESTION.—-
Michelle has a recipe that calls for 2 1/2 cups of vegetable oil. She wants to use 2/3 of that amount of oil and use applesauce to replace the rest. How much vegetable oil will she use?
Answer:
10/6
Step-by-step explanation:
r refer to the above attachment
Answer:
This is a multiplication problem.
2 1/2 * 2/3 = 5/2 * 2/3 = 10/6 or 5/3
She will use 10/6 or 1 2/3 cups of vegetable oil (or applesauce)
Hope this helps, let me know if it's wrong!
Step-by-step explanation:
Find the surface area of the polyhedron below. The area of each base is 65
cm2.
A. 130 cm2
B. 370 cm2
C. 130 cm2
D. 490 cm2
Answer:
Step-by-step explanation:
ok so there is 2 130cm2 is that a typo or are they messing with us because i got an answer that is not here it is 290cm2
how many four digit natural numbers can be formed using the digits 1,2,3,4 if repitition is not allowed
We can measure temperature in two different common units: degrees Celsius and degrees Fahrenheit.
The variable F represents the temperature in degrees Fahrenheit that is equivalent to CCC, the temperature in degrees Celsius.
F=32+1.8CF=32+1.8CF, equals, 32, plus, 1, point, 8, C
What is the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase of 10 degrees Celsius?
Answer:
Step-by-step explanation:
Thank you for asking this question. Here is your answer:
1/2 The increase in temperature by 10
10°C
Times the unit rate of the conversion function.
2/2 F
is given in slope-intercept form, so the slope of the graph is 1.8
This means the unit rate is 1.8°F / 1°C
Therefore, for 10°C
The increase in Fahrenheit is
10⋅1.8
= 18°F
If there is any confusion please leave a comment below.
PLEASE WORTH 40 POINTS PLEASEEE HELP I HAVE TO HAVE TO SUMIT IN AN HOUR!!!!!!!!!!!!!!!!
A group of 17 students participated in a quiz competition. Their scores are shown below:
Score 0–4 5–9 10–14 15–19 20–24
Number of students 4 5 2 3 3
Part A: Would a dot plot, a histogram, or a box plot best represent the data shown above. Explain your answer. (4 points)
Part B: Provide a step-by-step description of how you would create the graph named in Part A. (6 points)
Answer:
Part A: Histogram :)
Part B: Described below! :)
Step-by-step explanation:
Part A:
A histogram is the best choice because it can show the numbers for multiple categories in a quick and easy manner :)
Part B:
The x axis will have the categories of quiz scores! The y axis will show how many students got that score.
We then put the categories from smallest to largest along the x axis. We will also put the numbers that go with the categories above the category!
Done! you have made your histogram!
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
Step-by-step explanation:
Part A:A histogram is the best choice because it can show the numbers for multiple categories in a quick and easy manner :)Part B:The x axis will have the categories of quiz scores! The y axis will show how many students got that score. We then put the categories from smallest to largest along the x axis. We will also put the numbers that go with the categories above the category!Done! you have made your histogram!
What is scale factor of the dilation?
Can scale factors be rationals numbers?
Please explain in the most detailed way you can.
Scientific notation, 8th grade math KA- correct answers only thx
Answer:
3.84 * 10^{-2}
Step-by-step explanation:
You can convert the first one into 0.041 as it is multiplied by [tex]10^{-2[/tex]. The second one can be converted into 0.0026 as it is multiplied by [tex]10^{-3[/tex].
[tex]0.041-0.0026=0.0384[/tex]. In scientific notation, this is [tex]3.84 * 10^{-2}[/tex].
Question 7(Multiple Choice Worth 5 points)
(01.02 MC)
If (92)P=98, what is the value of p?
02
03
04
06
Answer:
4, Third option
Step-by-step explanation:
When you get 9^8 the answer is 43046721. So when raising a power to a power, the products should equal 8. Using simple math, we can determine that 4x2=8. To check our work you can calculate (9^2)^4, which equals 43046721. Now we can now for sure that this answer is correct. Hope this helps!
A camera usually sells for $68. Because it was slightly damaged, it sold for $59.90, what was the rate of the discount to the NEAREST PERCENT?
Answer:
12%
Step-by-step explanation:
$68 - 59.9 = $8.1
$8.1/$68 = 0.11911764705
0.11911764705 x 100 = 11.911764705
11.911764705 is rounded up to 12
12%
A batch of cookies is 24 cookies. It cost Courtney 134 dollars and 40 cents to make 10 batches of cookies.
How much does it cost Courtney to make 1 batch of cookies? Round to tenths places if necessary.
How much does it cost her to make 1 cookie? Round to the tenth place if necessary.
Answer:
13 dollars and 44 cents, 56 cents.
Step-by-step explanation:
134 dollars are 40 cents = 134.4 dollars.
10b = 134.4
b = 13.44
13 dollars and 44 cents
There are 24 cookies to a batch
24c = 13.44
c = 0.56.
so each cookie costs 56 cents
Answer:
13.44 to make 1 batch. 0.56 to make 1 cookie.
Step-by-step explanation:
If it cost 134.40 to make 10 batches, then you would divide that by 10 for how much it cost for 1 batch.
Then, 1 batch of 24 costs 13.44, you would divide it by 24 for the cost of 1 cookie.
100 POINTS+BRAINLIEST -8TH GRADE MATH- 4 LITTLE MULTIPLE CHOICE QUESTIONS
**3 of them are simplifying algebraic expressions- please explain how and some rules to remember when doing so.
**the last 1 is determining whether 2 lines are parallel, perpendicular, or neither. Please define each term and show how to find out.
THANKS SO MUCH!!!
Answer:
3x+y=6 is parallel
y=-3x-2
4x 2
----------- - ----------- 2/x+5
x^2-25 x-5
5 3
------ + ------- 8x+19/x^2+5x+6
x+3 x+2
Step-by-step explanation:
WRONG ANSWERS WILL BE REPORTED- PLS GIVE EXPLANATION WTIH ANSWER
8TH GRADE MATH
Answer:
9.5×10¹
Step-by-step explanation:
You want the quotient of 2.85×10⁶ and 30,000 written in scientific notation.
DivisionIt is convenient to adjust the exponents of the operands so the coefficient of the quotient has a value between 1 and 10.
[tex]\dfrac{2.85\times10^6}{30,\!000}=\dfrac{2.85\times10^6}{0.3\times10^5}=9.5\times10^{6-5}=\boxed{9.5\times10^1}[/tex]
__
Additional comment
Your calculator can format the quotient in scientific notation for you.
<95141404393>
Claire tried to evaluate an expression step by step.
Find Claires mistake
THIS IS An 8TH GRADE MATH PROBLEM PLS SOLVE ASAP FOR 10 POINTS
I WILL REPORT INCORRECT ASNWERS :))
Answer:
step 1
Step-by-step explanation:
khan academy
Answer:
Claire incorrectly completed step 1 in which the second power of 10 was stated but it should have been the third.
Step-by-step explanation:
What is the surface area of a right circular cylindrical oil can, if the radius of its base is 4 inches and its height is 11 inches?
Answer:
1105.8 in³
Step-by-step explanation:
The surface area is the circumference of the base times the height:
A = 2πrh, which, in this problem, works out to:
A = 2π(4 in)²(11 in) ≈ 1105.8 in³
Answer:
The answer will be 1105.8 in³sq inches.
Step-by-step explanation:
You multiply 4x11 which is the diameter of 44. The the radius with it will be 22. To get the surface, you multiply it= 1105.8 in³
Please mark me brainliest!
I REALLY REALLY NEED HELP!!!!!! THIS IS DUE IN 5 MIN!!!
Answer:
b
Step-by-step explanation:
We have proven that ΔACO ≅ ΔBDO using the SAS (Side-angle-side) theorem
Congruent trianglesFrom the question, we are to prove that ΔACO ≅ ΔBDO
From one of the congruent triangles theorem, we have that
If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
This is the SAS (Side-angle-side) theorem.
From the given information,
AB and CD intersect at point O
Thus, AO = BO
Also,
∠ACO ≅ ∠BDO
In the diagram, we can as well observe that CO ≅ DO
Thus, we can conclude that AC ≅ BD
Since sides AC, CO and the included angle ACO are congruent to sides BD, DO and the included angle BDO, we can conclude that ΔACO ≅ ΔBDO using the SAS theorem.
Hence, we have proven that ΔACO ≅ ΔBDO
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PLS HELP 15 POINTS + BRAINLIEST
Examine this system of equations. What integer should the first equation be multiplied by so that when the two equations are added together, the x term is eliminated?
StartFraction 1 Over 18 EndFraction + four-fifths y = 10
Negative five-sixths x minus three-fourths y = 3
Answer:
5/6
Step-by-step explanation:
Three-fourths x + StartFraction 1 Over 7 EndFraction y = 6
StartFraction 1 Over 8 EndFraction x minus three-fifths y = 16
is 5/6