Answer:
x = 5
Step-by-step explanation:
3x + 6 = 21
3x = 21 - 6
3x/3 = 15/3
x = 5
4. Is there a variable factor common to 24a and 6?
Answer:
There is no variable factor common to 24a and 6
Step-by-step explanation:
First number = 24a
Other number = 6
Pime factorisation of 24a = 2×2×3×2×a
Pime factorisation of 6= 3×2
Common factors = 6
Hence, there is no variable factor common to 24a and 6, Other common factor is 6.
Hector invests $10,000 at age 21. He hopes the investments will be worth $150,000 when he turns 50. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Write your answer as a percentage rounded to one decimal place.
Answer:
9.33%
Step-by-step explanation:
Step one:
given
Principal= $10,000
Final amount = $150,000
time = 50-21= 29 years
Required
The rate
Step two:
to solve for the rate we can apply the formula for rate as
r = ln(A/P) /t
r= ln(150000/10000)/29
r= ln(15)/29
r=2.7080502011/29
r=0.0933
r= 0.0933*100
r= 9.33%
If Clare earns $75 the next week from delivering newspapers and deposits it in her account, what will her account balance be then? her account balance is $-50 to start out with
Answer:
25
Step-by-step explanation:
because 75 - 50 = 25
The Clare account balance after the deposit of $75 will be $25.
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects.
In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.
As per the given,
The account balance initial = -$50
The amount of deposition = $75
Total amount = -$50 + $75
⇒ $25
Hence"The Clare account balance after the deposit of $75 will be $25".
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PLSS HELP!! NEED ASAP!!! MARKING BRAINLIEST!!! PLS EXPLAIN!!! At the produce store you can buy 4 bags of bananas for $22.52. How much would it cost if you were to buy 2 bags?
Step-by-step explanation:
4 bags of bananas for $22.52
=> 2 bags of bananas for $22.52 * 2/4 = $11.26.
Hence it would cost $11.26.
Square LAMP has vertices L(-2, -3), A(4, -1), M(2,5), and P(-4, 3). What is the
perimeter of the square?
Answer:
The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units
Step-by-step explanation:
The rule of the distance between two points (x1, y1) and (x2, y2) is
d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]
∵ LAMP is a square
∵ The sides of the square are equal in lengths
∴ LA = AM = MP = PL
Let us find the length of one side of it
∵ L = (-2, -3) and A = (4, -1)
∴ x1 = -2 and y1 = -3
∴ x2 = 4 and y2 = -1
→ Substitute them in the rule of the distance above to find LA
∵ LA = [tex]\sqrt{(4 - -2)^{2}+(-1--3)^{2}}[/tex]
∴ LA = [tex]\sqrt{(4+2)^{2}+(-1+3)^{2}}[/tex]
∴ LA = [tex]\sqrt{(6)^{2}+(2)^{2}}[/tex]
∴ LA = [tex]\sqrt{36+4}[/tex] = [tex]\sqrt{40}[/tex]
→ Simplify the root
∴ LA = 2[tex]\sqrt{10}[/tex] units
∵ The perimeter of the square = 4 × side
∴ The perimeter of the square = 4 × 2[tex]\sqrt{10}[/tex]
∴ The perimeter of the square = 8[tex]\sqrt{10}[/tex]
∴ The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units
The radio station in North Pole, AK plays Christmas songs all day and night from Thanksgiving through Christmas. They play 12 per hour for 15 hours a day, and 8 songs per hour for the rest of the day. They like to have a mix of traditional and modern songs with a relationship of 9 traditional songs to every 5 modern songs. How many traditional songs and how many modern songs will they play in one day?
Answer:
Traditional = 162
Modern = 90
Step-by-step explanation:
Given that:
12 songs per hour for 15 hours
8 songs per hour for the rest of the day ; (24 - 15) = 9 hours ;
That is ; 8 songs per hour for 9 hours
Total number of songs played per day :
(12 * 15) + (8 * 9) = 252 songs
If songs are mixed using the ratio 9:5 (traditional : modern)
Traditional songs :
(9 * 252) / (9 + 5) = 162
Modern songs :
(5 * 252) / (9 + 5) = 90
A large random sample of adults aged 40 to 50 living in San Francisco, California, was polled about how likely they are to purchase an electric vehicle sometime in the next year. To which population can the results of the poll safely be generalized
Answer:
Adults living in San Francisco, California
Step-by-step explanation:
The population is the large group from which the sample is selected or chosen. In the question given the sample is drawn from the adult population of San Francisco who are aged 40 to 50 to find out whether they can buy
an electric vehicle sometime in the next year.
The population it can be generalized to is adults living in San Francisco, California.
A population is defined as the group of all the individual members or objects having some common interest or characteristics.
The individual members are called the sampling units or simply units.
Answer:
adults only who live in San Francisco
I just want the answer. Plis help me
What is the value of the expression
3/5 (x-8) - y
When x=15 and y=1/10
A 11/10
B 21/10
C 31/10
D 41/10
Answer:
D 41/10
Step-by-step explanation:
substitute the values given into the equation. Calculate.
Answer:
D: 41/10
Step-by-step explanation:
What is the GCF of 105x,30x and 75x?
I
Answer:
15x
Step-by-step explanation:
PLS HELP ASAP I DONT HAVE TIME IT ALSO DETECT IF ITS RIGHT OR WRONG!!
Answeefefeefefeefefe
lanation:
anwer it on ur, own nah im just kidding bruh i gatchu
i think it would be 24.3 because the shadow is being cast farther than the tree to you would want to divide the shadow of the mailbox by the actual height of the mailbox then times that by tree
January 19 national popcorn day. A bag of popcorn has the average of 450 kennels if 4%% of the kernels dont pop how manu pieces of popcorn will the bag make
Answer:
The bag will make 432 pieces of popcorn.
Step-by-step explanation:
From the information given, you know that the bag has an average of 450 kernels and that 4% don't pop. So, with this information you can find the pieces of popcorn that the bag will made by calculating 4% of the average number of kernels in a bag and subtracting the result from that amount:
450*4%=18
450-18=432
According to this, the answer is that the bag will make 432 pieces of popcorn.
3.2 geometry worksheet
Answer:
Step-by-step explanation:
5)
21x + 4 = 22x - 2
6 = x
6)
x + 72 + x + 132 = 180
2x + 204 = 180
2x = -24
x = -12
7)
22x + 2 = 90
22x = 88
x = 4
8)
12x + 10 = 13x + 3
7 = x
9)
17x = 16x + 5
x = 5
17(5) = 85°
10)
20x = 21x - 6
-x = -6
x = 6
20(6) = 120º
hope this helps <3
QUESTION
Find the equation of the line parallel to 7x - 9y - 12 that goes through the point (-4,5). Write your answer in slope-intercept form.
Answer:
y=7/9x + 8
Step-by-step explanation:
i just used desmos to find it
expand and simplify 5(2x+1)-2(3x-6)
Answer:
4x + 17
Step-by-step explanation:
10x+5-2(3x-6)
10x + 5-6x+12
What best describes the expression 6 over y? (1 point)
A. 6 times some number
B. 6 divided by some number
C. 6 minus some number
D. 6 more than some number
Brainliest goes to the first answer, thank you!
Construct a triangle ABC, right angled at B and the sides BC = 4cm and AC = 5cm. Measure side AB.
Answer:
3
Step-by-step explanation:
My you pls answer this questions
Step-by-step explanation:
hlejsjsisjdjsisjsjsjsjsjsisjsnsjssjjsjsjs as
On Saturday, many tickets fir a hockey game were sold. Children and adult were in the ratio of 4:7. There are 88 tickets in total. How many adult tickets were sold?
Answer:
56 adult tickets were sold
Step-by-step explanation:
Ratio of ticket sold to Children and adult is in the ratio 4 : 7
Total ratio = 4 +7 = 11
Ratio of adult = 7
Total ticket sold = 88
Number of adult tickets sold = Ratio of adult/Total ratio * Total ticket sold
Number of adult tickets sold = 7/11 * 88
Number of adult tickets sold = 7 * 8
Number of adult tickets sold = 56 tickets
Hence 56 adult tickets were sold
help!! i'll give brainliest
Answer:
Im pretty sure D
Step-by-step explanation:
PLSSS HELPP, I WILL MARK BRAINLIEST IF YOU ANSWER BEFORE 5
A concert had 6,000 audience members in attendance on the first night and the same on the second night. On the first night, the concert exceeded expected attendance by 20%, while the second night was below the expected attendance by 20%. What was the difference in percent of concert attendees and expected attendees for both nights combined?
Answer:
4%
Step-by-step explanation:
I added a screenshot of work, hopefully this helps you!
The difference in the percentage of concert attendees and expected attendees for both nights combined is 4%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
Given that,
Number of audience attendants on the first and second night = 6,000
Let's say the excepted number of the audience on the first night was x then,
20% higher than x ⇒
1.2x = 6000
x = 5000
Error = 6000 - 5000 = 1000
Let's say the excepted number of the audience on the second night was x then,
20% lower than x ⇒
0.8x = 6000
x = 7500
Error = 7500 - 6000 = 1500
Combined expectation = 5000 + 7500 = 12500
Percentage = (1500 - 1000)/12500
Percentage = 0.04 → 4%
Hence "The difference in the percentage of concert attendees and expected attendees for both nights combined is 4%".
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I need helpppp....:(
Answer:
D
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
For a pentagon with n = 5 , then
sum = 180° × 3 = 540° , thus
x = 540° ÷ 5 = 108
For an octagon with n = 8, then
sum = 180° × 6 = 1080° , thus
y = 1080° ÷ 8 = 135
Thus
x + y = 108 + 135 = 243 → D
free paints and brianliest
Marry christmas guys
Answer:
Yo
Merry Christmas and have a great day onwards
and thank you ❤
Answer:
thanks a lot friend!!!
Step-by-step explanation:
.......
35 = 2b + 5b pls help
Step-by-step explanation:
2b+5b=7b
35=7b
35/7=5
b=5
Answer:
b=5
Step-by-step explanation:
2b+5b=35
7b=35
b=35/7
b=5
What does a graph look like when y=-2+5?
find the values of x in [0,360) which satisfy 2cot^2x=-3cscx
Answer:
The values of x is -30 degrees and undefined
None of these values fall within the given range
Thus, no value within the given range is the solution to the equation
Step-by-step explanation:
Here, we want to find the value of x that works for the equation in the selected range
2cot^2x = -3csc x
Mathematically, from trigonometry;
cot^2x = csc^2x - 1
Substitute this above
2(csc^2x - 1)= -3csc x
let csc x = b
2(b^2-1) = -3b
2b^2 - 2 + 3b = 0
2b^2 + 3b - 2 = 0
2b^2 + 4b - b - 2 = 0
2b(b+ 2) - 1( b + 2) = 0
(2b-1)(b + 2) = 0
2b = 1
b = -2
b = 1/2 = 0.5
or b = -2
Recall;
csc x = b
x = csc^-1 b
x = csc^-1 0.5
x = undefined
Secondly;
b = -2
x = csc^-1 (-2)
x = -30 degrees
As we can see , between the points
0 ≤ x < 360
None of our answers fall in these range
Natasha is growing a plant for a science project. On monday she measured the plant and found it was 2 1/8 inches tall. On Wedensday she measured the plant and found it was 3 2/8 inches tall. Natasha told her teacher that her plant is 5 3/8 inches from monday to Wednesday
Answer:
Step-by-step explanation:
she is correct?
2 1/8+3 2/8= 5 3/8
Do you guys know this one if so comment the down the answers that all apply in the can't tysm!
Answer:
7 to the fourth power, 7*7*7*7 , and 7^4
Step-by-step explanation:
Answer:
7 x 7 x 7 x 7
7 to the fourth power
7^4
Step-by-step explanation:
Hello! Can someone please help me with this 1 questions! thank you so much! (i’ll give brainlist)
Answer:
x = 10 mm is the answer
pls mark me as the brainliest
help guys yes if same amount then no if not same amount
Answer:
1a. yes
2a. yes
3a. yes
4a. yes
5a. yes
6a. yes
7a. yes
sorry, i'm not sure about any of these.
1c. yes