Step-by-step explanation:
the numbers : x, y
x + y = 65
x = y + 5
we use the second equation in the first equation :
y + 5 + y = 65
2y + 5 = 65
2y = 60
y = 30
x = y + 5 = 30 + 5 = 35
7.) Solve the system of equations
below.
-2x + 3y = 9 2/3x + 2y = 0
Answer:
So lets isolate y
we have
-2x+3y=9
2/3x +2y=0
Im gonna do the first equation
so -2x + 3y = 9
Add 2x on both sides
3y= 9+ 2x
Now divide by 3 to isolate y
y= 3+ 2/3x
Now we can subsitute y into any eqaution (I’m gonna do the second one) to solve.
2/3x+ 2(3+ 2/3x)= 0
Solve:
2/3x+ 6 + 4/3x = 0
6/3x +6= 0
2x+6=0
2x= -4
x= -2
Now we can subsitute this for any equation.
so I’m gonna do the first equation
-2(-2)+3y=9
4+3y=9
3y= 5
y= 5/3
y= 1 2/3
Final answer:
x=-2
y= 1 2/3
evaluate the expression when a=4 and b=-3.
-a+7b
Answer:
-4+7x-3=-21+-4=-25
Step-by-step explanation:
1 1/16 divided by 1 1/16
Answer:
1
Step-by-step explanation:
Somebody help me with these worksheets pls
(Please answer properly)
This is an interesting problem.
But first, let us define what are the three possible cases :
A system of linear equations : a system of equation is when you have two equations with the same unknown variables, that you need to solve both together. Example : "x+y = - 7 AND x + y = - 4" are two equations that form a system of equation.
Plus they are linear, a linear equation is simply an equation of the form : y = ax + b where a and b are real numbers.
Here for example x + y = - 7 is a linear equation. Because y = 1 × x - 7
where a = 1 and b = - 7.
Consistent Dependent : A system of equation is consistent Dependant when it has an infinite number of solutions.
When this is the case, the graphs of the lines in the system are the same, meaning the equations in the system represent the same line.Consistent Independent : A system of equation is consistent Dependant when it has exactly one solution.
When this is the case, the graphs of the lines in the system cross at exactly one point.Inconsistent : A system of equation is Inconsistent if it haas no solutions.
When this is the case, the graphs of the lines in the system do not intersect, meaning they are parallel.Now, with those definitions above, we can work on our problem :
1. x + y = - 7 and x + y = - 4
Look at the picture attached the lines are parallel to each other so here the answer is Inconsistent
2. Same line : consistent dependent
3. Parallel Lines : Inconsistent
4. Lines cross at exactly one point :Consistent Independent
5. Lines cross at exactly one point : Consistent Independent.
You can see the graph of each systems in the pictures attached below.
Good luck, you will succeed :)
solve pls brainliest
Answer:
1. 9
2. 5
Step-by-step explanation:
Answer:
A would be 9 and I am not sure about B.
Step-by-step explanation:
when a number is in | | these lines then they will always come out positive.
Select all ratios equivalent to 5:3.
13:9
9:15
20:12
Answer:
20:12
brainlest if it helped
Step-by-step explanation:
Answer:
20:12
Step-by-step explanation:
if you multiply 5:3 by 4, they'll end up with 20:12.
Determine the total of each rectangle.Each number inside the rectangle represent the area of the smaller rectangle while each number along the side represents the length of the position on the side
Answer:
Hmmm, maybe this?
Step-by-step explanation:
indicate which property is illustrated below. 10 x + 11 x=(-10 + 11) x
Answer:
distributive property
Step-by-step explanation:
I ASSUME that you meant to lead the equation with a negative sign.
- 10x + 11x = (-10 + 11)x
In order to join a dance class at Dancing’s Lily’s Academy, you must pay a $335 annual fee plus $13.75 for each class you attend. You plan to spend $500 dollars on your dance classes. Write and solve an equation for how many dance classes you will take.
Answer:
12
Step-by-step explanation:
335 + 13.75x = 500
Subtract 335 from each side
13.75x = 165
Divide each side by 13.75
x = 12
You can attend 12 dance classes with $500.
9514 1404 393
Answer:
12 classes
Step-by-step explanation:
The total cost for c classes will be ...
335 + 13.75c = 500
13.75c = 165 . . . . . . . . . .subtract 335
c = 12 . . . . . . . . . . . divide by 13.75
You will take 12 classes.
A partnership begins its first year with the following capital balances:
Alexander, Capital . . . . . . . . . . . . . . . . . . . . . . . . $ 90,000
Bertrand, Capital . . . . . . . . . . . . . . . . . . . . . . . . . 100,000
Coloma, Capital . . . . . . . . . . . . . . . . . . . . . . . . . . 160,000
The articles of partnership stipulate that profits and losses be assigned in the following manner:
∙ Each partner is allocated an interest equal to 5 percent of the beginning capital balance.
∙ Bertrand is allocated compensation of $45,000 per year.
∙ Any remaining profits and losses are allocated on a 3:3:4 basis, respectively.
∙ Each partner is allowed to withdraw up to $25,000 cash per year.
Assuming that the net income is $115,000 and that each partner withdraws the maximum amount
allowed, what is the balance in Coloma’s capital account at the end of the year?
a. $143,000
b. $135,000
c. $168,000
d. $164,000
Based on the information given the balance in Coloma’s capital account at the end of the year is: d. $164,000.
First step is to calculate the interest on capital for each partner
Alexander=$90,000×5%=$4,500
Bertrand=$100,000×5%=$5,000
Coloma=$160,000×5%=$8,000
Second step is to calculate Coloma capital and drawing
Coloma capital =$160,000 + (5% x $160,000)
Coloma capital=$160,000+ $8,000
Coloma capital=$168,000
Coloma drawing=$168,000-$25,000
Coloma drawing=$143,000
Third step is to calculate Coloma share of profit
Share of profit=$115,000-$45,000-$4,500-$5,000-$8,000
Share of profit=$52,500
Coloma profit=4/(3+3+4)×$52,500
Coloma profit=4/10×$52,500
Coloma profit=4/(3+3+4)×$52,500
Coloma profit=$21,000
Fourth step is to calculate balance in Coloma’s capital account
Coloma’s capital account balance=$143,000+$21,000
Coloma’s capital account balance=$164,000
Inconclusion the balance in Coloma’s capital account at the end of the year is: d. $164,000.
Learn more here:https://brainly.com/question/21270829
A bullet train can travel at 170 miles per hour. Will a graph representing distance in miles compared to time in hours show a proportional relationship? Explain
Answer:
yes
Step-by-step explanation:
the relationship between the hours and miles traveled is a direct relationship therefor would be able to be graphed as a linear function.
5. Mohan and Sohan have the same storybook. Mohan has read 2/5 of the book and Sohan has read 2/7 of the book. Who has read more pages? 6. Sonali and Priya are classmates Sonali completed her homework in a of an hour and Priya in of an hour 3/4 . Who was faster?
#5
Mohan read =2/5Sohan read=2/7Compare
[tex]\\ \sf\longmapsto \dfrac{2}{5}>\dfrac{2}{7}[/tex]
Mohan read more pages.#6
Sonali completed in=1/2Priya completed in=3/4[tex]\\ \sf\longmapsto \dfrac{1}{2}=\dfrac{2}{4}[/tex]
Compare
[tex]\\ \sf\longmapsto \dfrac{2}{4}<\dfrac{3}{4}[/tex]
Sonali was faster
Function or not a function?
Answer: Not Function
Step-by-step explanation:
The pattern is not consistent.
) 11. Last week, Raj camned $58. He spent $12 and saved the rest Nlichael earned 583 and Saved $20. Who saved the greater percent of his earnings
2yx= 4 is it a linear function?
Answer:
No, it is not a linear function, rather a rational function
Step-by-step explanation:
Because the term on the left-hand side contains both x and y, then neither variable varies directly with the other, hence, it's a rational function:
2yx=4
yx=2
y=2/x
What is the leading coefficient of the polynomial f (x) defined below? f (x) = 9x^3 - 7x
well, first off let's check which term has the highest degree, hmmm in this case it has to be the x³, so that's the leading term and its coefficient is 9.
1. 6 km = ___ m
2. 8m = _____ km
3. 1dL = _____ mL
4. 30 kg = ____ g
5. 34 mg = ____ g.
!!!!!!!
Answer:
[tex]1)6000m \\ \\ 2)0.008km \\ \\\ 3)100ml \\ \ \\ 4)30000g \\ \\ 5)0.034g[/tex]
MARK ME AS A BRAINLIST PLZ
A Chevrolet Sonic Hatchback costs $14,845.00. With a 15% down payment, you can have an amortized loan for 6 years at a rate of 4.5%.
A) What will the monthly payment be?
B) How much will the car cost, in total?
C) How much money will be paid in interest?
Using simple interest, it is found that:
a) The monthly payment will be of $222.57.
b) In total, the car will cost $18,251.9275.
c) $16,025.1775 will be paid in interest.
The amount of money accrued after t years, using simple interest, with an initial value of P and a decimal rate of r is given by:
[tex]A(t) = P(1 + rt)[/tex]
In this problem:
Total cost of $14,845.00, with a down payment of 15%, hence the initial value that will accrue interest is [tex]P = 0.85(14845) = 12618.25[/tex].Loan for 6 years, hence [tex]t = 6[/tex]Rate of 4.5%, hence [tex]r = 0.045[/tex].Item a:
The amount of money accrued will be of:
[tex]A(6) = 12618.25[1 + 0.045(6)] = 16025.1775 [/tex]
Payment over 6 x 12 = 72 months, hence, the monthly payment will be of:
[tex]m = \frac{16025.1775}{72} = 222.57[/tex]
The monthly payment will be of $222.57.
Item b:
The total cost is composed by:
Down payment of 15%, out of the amount of $14,845.00.Interest of $16,025.1775.Hence:
[tex]T = 0.15(14845) + 16025.1775 = 18251.9275[tex]
In total, the car will cost $18,251.9275.
Item c:
As found in item a, $16,025.1775 will be paid in interest.
A similar problem is given at https://brainly.com/question/13176347
Multiple-Choice Questions
U
T
1.
?
50°
120°
V
R
Find the measure of the indicated angle in the
drawing above.
(A) 190°
(B) 60°
(C) 70°
(D) 120°
(E) 140°
Answer:
Mention the drawing if you want an answer !!! How are we supposed to answer this question without the drawing the question is referring to ?????
will mark as brain list plzzz help no links
Answer:
Step-by-step explanation:
the answer is 10
a health status survey in a few villages revelaed that the normal serum protein value of children in that locality is 7.0g/100ml. A group of 16 children, who received high protein food for a period of 6months had serum protein values shown below.Can we consider that the mean serum protein level of these who were fed on high protein is different from that of general population
We can consider that the mean serum protein level of the group of children who received high protein food is different from that of the general population with a normal serum protein value of 7.0g/100ml.
To determine whether the mean serum protein level of the group of 16 children who received high protein food is different from that of the general population with a normal serum protein value of 7.0g/100ml, we can perform a hypothesis test.
Let's denote:
μ1 = Mean serum protein level of the general population (assumed to be 7.0g/100ml)
μ2 = Mean serum protein level of the group fed on high protein food
The null hypothesis (H0) would be that there is no difference between the mean serum protein levels of the two groups:
H₀: μ₁ = μ₂
The alternative hypothesis (Ha) would be that there is a difference between the means:
Hₐ: μ₁ ≠ μ₂
Next, we calculate the sample mean and standard deviation of the group that received high protein food from the given serum protein values.
Assuming the serum protein values (in g/100ml) for the 16 children are as follows:
8.2, 7.6, 7.8, 7.4, 8.0, 7.9, 7.7, 7.5, 7.2, 7.3, 8.1, 7.6, 8.3, 8.0, 7.8, 7.9
Sample mean (x') = (sum of values) / (number of values) = (121.8) / (16) ≈ 7.613 g/100ml
Sample standard deviation (s) ≈ 0.352 g/100ml
Next, we perform a two-sample t-test (assuming equal variances) to compare the means of the two groups. We use the formula:
t = (x'₁ - x'₂) / √[(s₁² / n₁) + (s₂² / n₂)]
where x'₁ and x'₂ are the sample means of the two groups, s₁ and s₂ are the sample standard deviations, and n₁ and n₂ are the sample sizes.
Substituting the values, we get:
t ≈ (7.613 - 7.0) / √[(0.352² / 16) + (0.0² / 16)] ≈ 3.584
Now, we need to find the critical t-value at a given significance level (commonly set at 0.05) and degrees of freedom (df = n1 + n2 - 2). Since we have 16 + 16 - 2 = 30 degrees of freedom, the critical t-value (two-tailed test) is approximately 2.042.
Since the calculated t-value (3.584) is greater than the critical t-value (2.042), we reject the null hypothesis (H0). This means that there is a significant difference between the mean serum protein levels of the two groups.
In conclusion, based on the given data and the hypothesis test, we can consider that the mean serum protein level of the group of children who received high protein food is different from that of the general population with a normal serum protein value of 7.0g/100ml.
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Addition and subtraction of fractions! find the missing number of 5/6= -/12
{6x+5y=4
{6x-7y=-20
solve by elimination
Answer:
x = -1, y = 2
Step-by-step explanation:
6x + 5y = 4
6x - 7y = -20
We already have a similar leading coefficient (6 for X), so we just subtract equation 1 from equation 2 to get:
12y = 24
Now solve normally:
y = 2
Then substitute into the first equation (or second, it doesn't matter)
6x + 10 = 4
6x = -6
x = -1
What would the answer be
Answer:
B.
Step-by-step explanation:
process of elimination. the red dot is not a 1/4 of the number of lines, so it cant be 12.25, 13.625 is impossible because it has a value less than 13, and 12.625 is impossible as well because it has a value less than 12.5 therefore 12.375 is the best answer, and the only correct answer
Please take a look at the picture
Step-by-step explanation:
option c is correct answer
Answer:
A) -11/-4
Step-by-step explanation:
-11/-2=11/4
Rewrite the fraction.
-(-11/4)
=11/4
Hope this helps :)
Please take a look at the picture
Answer:B
Step-by-step explanation:
A: cannot be because it’s the same but the -m is not equal .
B: is the same as ,and B: because 2 (minus number) = right number .
C:Is nOne oF the AboVe
Sorry if explanation is not clear but yes it’s is 99% B ;)
But I do think it is wrong…
Hope you have a. Great day!
:)
Select the equation which represents the equation solved for y.
−20x+5y=35
y=4x+7
y=−4x+7
y=−4x−7
y=4x−7
An ice cream factory makes 300 quartz of ice cream in 10hr how many quartz can be made in 12 hours
Answer:
360
Step-by-step explanation:
Answer:
360 quarts
Step-by-step explanation:
300/10=30
30*12=360
Write the logarithmic expression as a single logarithm log4(32) – log4 (4)
A. Log8(4) B. Log8(1/8). C. Log4(28). D. Log4(8)
Pre college need help
Answer:
C
Step-by-step explanation: