Answer:
The solution of the given system is given as L = -12, d =16.5
Step-by-step explanation:
7 L+ 5.5 d = 6.75
L + d = 4.5
From (2), we get:
L + d = 4.5
⇒ d = 4.5 - L
Substitute the above value of d is the above first equation:
7 L+ 5.5 d = 6.75 ⇒ 7 L+ 5.5 (4.5 - L) = 6.75
⇒ 7 L + 24.75 - 5.5 L = 6.75
or, 1.5 L = 6.75 - 24.75 = -18
or, L = -18/1.5 = 12
or, L = -12
Now, d = 4.5 - L = 4.5 - (-12) = 16.5
or, d = 16.5
Hence, the solution of the given system is given as L = -12, d =16.5
What is a benefit of getting an Associate Degree?
Answer:
you can qualify for more jobs and make more money
Step-by-step explanation:
Final answer:
One benefit of getting an Associate Degree is gaining specialized knowledge and skills, which can increase job prospects. Additionally, it can be a stepping stone towards earning a higher degree, leading to more opportunities. Lastly, earning an Associate Degree can provide personal fulfillment and a sense of accomplishment.
Explanation:
One benefit of getting an Associate Degree is that it provides students with the opportunity to gain specialized knowledge and skills in a specific field. This can make them more competitive in the job market and increase their chances of finding employment. For example, someone with an Associate Degree in Business Administration may have a better understanding of business operations and management principles, which can be valuable in entry-level positions or when starting their own business.
Another benefit is that an Associate Degree can serve as a stepping stone towards earning a higher degree. Many universities and colleges accept transfer credits from associate degree programs, allowing students to continue their education and earn a bachelor's degree or beyond. This can open up more career opportunities and potentially lead to higher salaries.
Lastly, getting an Associate Degree can also provide personal fulfillment and a sense of accomplishment. It shows that you have successfully completed a program of study and have attained a certain level of expertise in a subject area. This can boost self-confidence and motivate you to pursue further education or career goals.
Which expressions are equivalent to 76(3 + c)?
Answer:
76c + 228
Step-by-step explanation:
Use the distributive property
76 × 3 = 228
76 × c = 76c
76c + 228
Answer:
76c + 228
Step-by-step explanation:
there are 12 girls and 18 boys in a class what is th largest number of groups they can be split into and have the same number of boys and girls on each team?
15 groups
Step-by-step explanation:
boys can be split in 9 groups of 2 and the girls can be split in 6 groups of 2
adding this 9+6=15
Make w the subject of the formula y-aw=2w-1
Answer:
w = (y+1)/(2+a)
Step-by-step explanation:
y-aw=2w-1
y+1 = 2w+aw (collecting the like terms)
y+1 = w(2+a)
w(2+a) =y+1
w = (y+1)/(2+a)
Please help!!!!!!!!!!!!
Answer:
t = 0.77
Step-by-step explanation:
f(t) = 11 × (1.5^t)
f(t) = 15
11 × (1.5^t) = 15
1.5^t = 1.364 (3d.p)
log1.5(1.364) = t
t = 0.77 (2d.p)
what is 28.204 rounded to the nearest whole
Answer:
28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
-3(x-3y) I dont know hot to solve the question
- 3(x - 3y) = - 3x + 9y
You're welcome.
Answer: get the app mathaway or math photo it will help u so so much
Step-by-step explanation:
2. ** You have $10 to spend on lunch today and want both a drink and a salad. The drinks cost $1.25 each
and the salad costs $0.20 per ounce.
a
Write an equation that models this situation.
$0.20x + $1.25 = $10
Where x = ounces of salad
A copy machine makes 32 copies per minute. How long does it take to make 136 copies?
I minutes ] seconds
if you sleep 8 hours of each day what fraction of the day do you not sleep
Answer:
16/24 which can then be simplified to 2/3
Answer:
8/24 = 1/3
Step-by-step explanation:
Find the values of x and y that make these triangles congruent by HL.
x = -3 y - 4
x = -4 y-3
x = -6. y-5
x = -5, y = 6
Answer:
[tex]x=5, y=6[/tex]
Step-by-step explanation:
we know that
If triangles ABC and AED are congruent, then its corresponding sides are congruent
so
BC=ED
AC=AD
substitute the given values
[tex]x=y-1[/tex] ----> equation A
[tex]3x-2=2y+1[/tex] ----> equation B
solve the system by substitution
substitute equation A in equation B
[tex]3(y-1)-2=2y+1[/tex]
solve for y
[tex]3y-3-2=2y+1[/tex]
[tex]3y-2y=1+5[/tex]
[tex]y=6[/tex]
Find the value of x
[tex]x=y-1[/tex] ----> [tex]x=6-1=5[/tex]
therefore
[tex]x=5, y=6[/tex]
47 hundredths as a fraction and as a decimal number
Answer:
47/100 and 0.47
Step-by-step explanation:
A fraction is a number over 100
A decimal is a number with a decimal point that conside with a fraction
Stephen invests $2,000 in a savings account paying 6% annual interest. Find the balance after 5 years if the interest is compounded quarterly.
Final answer:
The balance in the savings account after 5 years, with quarterly compounded interest, will be $2,699.80.
Explanation:
To find the balance after 5 years when the interest is compounded quarterly, we can use the formula for compound interest:
[tex]A = P(1 + r/n)^(nt)[/tex]
Where:
- A is the final amount
- P is the principal amount (initial investment)
- r is the annual interest rate (in decimal form)
- n is the number of times the interest is compounded per year
- t is the number of years
Plugging in the given values:
[tex]A = $2,000(1 + 0.06/4)^(4*5)[/tex]
[tex]A = $2,000(1.015)^20[/tex]
A = $2,000 * 1.3499
A ≈ $2,699.80
After 5 years, the balance in the savings account will be approximately $2,699.80.
Which of the following best describes the graph below?
Answer:
The correct answer is D.
23,478 round to the nearest ten thousands
Answer:
20,000
Step-by-step explanation:
because its closer to 20,000 than 30,000
Richard and Teo have a combined age of 37. Richard is 4 years older than twice Teo's age. How old are Richard and Teo?
Answer:
Teo is 11 years old and Richard is 26 years old.
Step-by-step explanation:
Let R be the age of Richard and T be the age of Teo.
First set up the equations:
The combined age of Teo and Richard is 37:
R+T=37
Richard is four years old than twice Teo's age:
R=2T+4
Then, solve the equations:
Substitute (2) to (1) and solve for T:
(2T+4)+T=37
3T=11
T=11
Solve for R using (2):
R=2(11)+4
R=22+4
R=26
plz help me I will mark you brainlest plz give me explaination
Answer:
3.3
bc jamal is standing on a platform 1.5 meters high but the trout is under by 4.8
so
4.8-1.5=3.3
Step-by-step explanation:
Answer:
3.3 meters below surface
Step-by-step explanation:
Jamal dude and the distance between surface of water is 1.5 meters
----------------------------------------------------------/ <- the surface of water
\
I
trout / below jamal by 4.8
equation is 1.5- 4.8 so its - 3.3 or 3.3 meters below surface
DOES ANYONE KNOW HOW TO DO THIS??????????? NEED HELP QUICK!!!!!!!!
Answer:
1. Figure 4
2. Figure 3
3. Figure 2
Step-by-step explanation:
Sorry I cant explain it.
(2) 345
Maria drove 715 miles in 13 hours.
At the same rate, how many miles would she drive in 5 hours?
miles
x
s
?
Answer:
275 miles in 5 hours
55 miles in one hour
Check
to check if im right
275×2 would be how many miles she drove in 10 hours rght ? 275×2=550
550 miles in 10 hours
we know one hour is 55 miles & 5 hours is 275 & 10 hours is 550
10 hours plus 3 hours = 13 hours right ?
55 ×3 = 165
550 +165=715
715 miles in 13 hours
Step-by-step explanation:
715÷13 to get how many miles she drove in one hour .
=55 miles in 1 hour .
then multiply 55 ×5 to get how many miles she drove in 5 hours
55×5=275
275 miles in 5 hours
Order the numbers from
least to greatest.-7/5 -1 5/11
-1.45
-1 91/200
Answer:
-1 91/200, -1.45, -7/5, -1 5/11
Step-by-step explanation:
Lowest Common Denominator:
LCD = 2200
Equivalent Fractions with the LCD
-7/5 = -3080/2200 (-7/5)
-15/11 = -3000/2200 (-1 5/11)
-145/100 = -3190/2200 (-1.45)
-291/200 = -3201/2200 (-1 91/200)
Becky just measured herself and found out she is 65 inches tall. The last time she measured, she was 52 inches tall. What percent taller is Becky now?
Answer:
25%
Step-by-step explanation:
52 - 65 = 13 in growth.
13 = 25 % of 52.
So, Becky is now 25% taller.
what is 50% in fractions
Answer: It is 50/100
Answer:
50/100 or 1/2
Five math questions
Answer:
1. 6
2. 36
3. 12
4. 30
5. 20
help!!!!!!!!!!!!!!!
Answer:
First Option.
Step-by-step explanation:
I recommend using the app Photomath for these types of math problems. It gives a detailed explanation as to how you should solve them.
A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of n=1100 registered voters and found that 570 would vote for the Republican candidate. Let p represent the proportion of registered voters in the state who would vote for the Republican candidate. We test H0:p=.50 Ha:p>.50 (a) What is the z-statistic for this test? (b) What is the P-value of the test?
Part A
p = 0.5 is the hypothesized population proportion
x = 570 is the number of successes
n = 1100 is the sample size
phat = x/n = 570/1100 = 0.518182 is the approximate sample proportion
SE = standard error
SE = sqrt(p*(1-p)/n)
SE = sqrt(0.5*(1-0.5)/1100)
SE = 0.015076 which is approximate
----
We have enough to compute the z test statistic
z = (phat - p)/(SE)
z = (0.518182 - 0.5)/(0.015076)
z = 1.206023
z = 1.21
Answer: The z-statistic is approximately 1.21==============================
Part B
Compute the probability of getting a z score larger than 1.21
P(Z > 1.21) = 1 - P(Z < 1.21)
P(Z > 1.21) = 1 - 0.8869 .... see note below
P(Z > 1.21) = 0.1131
note: the value 0.8869 comes from the table that I've attached as an image below. I have marked in red the proper row and column used to look up the value. The z table is commonly found in statistics textbooks toward the back sections. There are also many free online z tables you can search out as well. I used a z table found online. Alternatively, you can use your TI83 or TI84 calculator to compute the area under the normal curve. You would use the normalCDF function.
Answer: The P-value is approximately 0.1131The z-statistic for testing whether the proportion of voters favoring the Republican candidate is greater than 0.50 is approximately 1.36. The P-value associated with this z-statistic is roughly 0.0869, indicating the probability of observing such sample results if the true proportion was indeed 0.50.
A newspaper conducted a statewide survey regarding the 1998 race for state senator, sampling n=1100 registered voters, with 570 favoring the Republican candidate. We are testing the hypotheses H₀: p = .50 against Ha: p > .50, where p represents the proportion of registered voters in the state who would vote for the Republican candidate. The steps for calculating the z-statistic and the P-value are outlined.
Calculation of the z-statistic:
To calculate the z-statistic for this test, we use the formula z = (p' - p₀) / √(p0(1 - p₀) / n), where p' = 570/1100 = 0.518 is the sample proportion, and p₀ = 0.50 is the null hypothesis proportion. Plugging in the numbers, we get:
z = (0.518 - 0.50) / √(0.50(1 - 0.50) / 1100) ≈ 1.36.
Calculation of the P-value:
The P-value is the probability that, assuming H0 is true, we would observe a sample proportion as extreme as or more extreme than the one observed. For a z-statistic of 1.36 in a right-tail test, the P-value can be found using a Z-table or software, resulting in:
P-value ≈ 0.0869.
To conclude, based on the calculated P-value, the decision on whether or not to reject the null hypothesis would depend on the level of significance (α) chosen for the test.
Buttons are sold in packets and in boxes.
There are 6 buttons in a packet.
There are 15 buttons in a box.
Nomusa buys packets of buttons and boxes of buttons.
She buys a total of buttons.
Write a formula for in terms of and .
Answer:
Let the number of packets be x and the number of boxes be y.
Then, the formula is 6x + 15y
Step-by-step explanation:
The formula for the total number of buttons Nomusa buys, represented by t, in terms of the number of packets, p, and boxes, b, she buys is: t = 6p + 15b.
Explanation:In this mathematical context, let's suppose that Nomusa buys p packets and b boxes of buttons. The total number of buttons can be represented by the letter t. Since there are 6 buttons in a packet and 15 buttons in a box, the total number of buttons Nomusa buys will be the sum of all buttons in the packets and boxes she buys. Thus, the formula in terms of p (packets) and b (boxes) will be: t = 6p + 15b.
Learn more about Mathematical Formula here:https://brainly.com/question/34283155
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help with math again *10 pts* asap
Answer:
[tex]a_n=2n+5[/tex]
Step-by-step explanation:
we have the sequence
[tex]7,9,11,...[/tex]
we know that
In an Arithmetic Sequence the difference between one term and the next is a constant and this term is called a common difference
Let
[tex]a_1=7\\a_2=9\\a_3=11[/tex]
we know that
[tex]a_2-a_1=9-7=2[/tex] ----> [tex]a_2=a_1+2[/tex]
[tex]a_3-a_2=11-9=2[/tex] ----> [tex]a_3=a_2+2[/tex]
The common difference is 2
This is an arithmetic sequence
The general formula for an arithmetic sequence is
[tex]a_n=a_1+d(n-1)[/tex]
where
d is the common difference
n is the number of terms
substitute the given values
[tex]a_n=7+2(n-1)[/tex]
[tex]a_n=7+2n-2[/tex]
[tex]a_n=2n+5[/tex]
How do you do a two step inequality?
Step-by-step explanation: It takes two steps to solve an equation or inequality that has more than one operation:
Simplify using the inverse of addition or subtraction.
Simplify further by using the inverse of multiplication or division.
I looked this up on Google JUST to be sure. I truly hope this helped! Your fellow Brainly user, GalaxyGamingKitty May I have Brainliest please?
passes through (1, -3), slope = -1
Answer:
The needed line equation is : x + y + 2 = 0
Step-by-step explanation:
The slope m of the given line equation = -1
The points through which the line passes is (1,-3).
Now,as we know:
The POINT SLOPE form of the equation with point (x0,y0) is given as:
y - y0 = m (x-x0)
So, the equation if line q=with m = -1 and (x0,y0) = (1,-3) is given as
y - (-3) = -1( x - 1)
or, y + 3 = 1 -x
or, x + y + 2 = 0
Hence, the needed line equation is : x + y + 2 = 0
You and three friends spend $35 on tickets at the movies.Write and solve the equation to find the price p of one ticket.
Final answer:
The price of one movie ticket, represented as p, can be found by dividing the total cost of $35 by the number of friends, which is 4. The equation is 4p = 35, and solving for p gives $8.75 per ticket.
Explanation:
To calculate the price of one movie ticket when you and three friends spend a total of $35 on tickets, you would set up an equation where p represents the price of one ticket. The equation will be:
4p = 35
To solve for p, you would divide both sides of the equation by 4:
p = 35 / 4
p = $8.75
Therefore, the price of one movie ticket is $8.75. The calculated value of p is $8.75, indicating that each movie ticket costs $8.75. This method allows for the precise determination of individual ticket prices based on the total amount spent by the group, facilitating accurate financial planning for movie outings.