Answer:
5,90
Step-by-step explanation:
got it correct :)
The second solution for the system of equations is (5, 90).
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Linear equations may include one or more variables.
Given the system of equations,
y - 10 = 11x + x² and
y - 12x = 30
Consider second equation.
y - 12x = 30
⇒ y = 30 + 12x
Substitute y = 30 + 12x in the equation y - 10 = 11x + x², we get,
(30 + 12x) - 10 = 11x + x²
12x + 20 = 11x + x²
12x - 11x - x² + 20 = 0
-x² + x + 20 = 0
x² - x - 20 = 0
Discriminant = [tex]\sqrt{(-1)^{2} -(4*1*-20)}[/tex] = √(1 + 80) = √81 = ±9
x = (1 + 9)/2 and x = (1 - 9) / 2
x = 5 and x = -4
The solution x = -4 and y = -18 is given.
Other solution is,
x = 5
y = 30 + 12x = 30 + 60 = 90
Hence the second solution is (5, 90).
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give one pair of supplementary angles and one pair of vertical angles showing in the figure below
Answer:
vertical angle can be 2 and 3. anything opposite from eachother. supplementry angles equal to 180 degrees. like 2 and 4
Step-by-step explanation:
your favorite cookie use 2 1/2 cups of flour per batch you use 7 cups how many batches did you make
Number of cups used for making one batch of cookie :-
[tex] = 2 \frac{1}{2} \: cups[/tex]
Number of cups of flour I use = 7
number of batches of cookie I make :-
[tex] = 7 \div 2\frac{1}{2}[/tex]
[tex] = \frac{7}{1} \div \frac{(2 \times 2 + 1)}{2} [/tex]
[tex] = \frac{7}{1} \div \frac{5}{2} [/tex]
[tex] = \frac{7}{1} \times \frac{2}{5} [/tex]
[tex] = \frac{14}{5} [/tex]
[tex] = 2\frac{4}{5} \: batches[/tex]
Therefore , I have made :-
[tex]2 \frac{4}{5} \: batches \: of \: cookies[/tex]
What is the equation of a line that passes through the point(0, 3) and has a slope of 2
Answer:
the equation of a line that passes through the point(0,3) answer is 1.5
Step-by-step explanation:
What percent of 150 is 12?
Answer:
8%
Step-by-step explanation:
Solve 5a/7=25 the solution for a is
Answer:
35 is the answer
*multiply both sides by 7. This leaves you with 5a=175. Then divide both side by 5. Leaving you with a=35
Answer:
[tex]a=35[/tex]
Step-by-step explanation:
Given the following question:
[tex]\frac{5a}{7} =25[/tex]
To find the answer we need to isolate variable in order to find the value of a we are going to have to use inverse of operations to isolate the variable.
[tex]\frac{5a}{7} =25[/tex]
[tex]7\times0=0[/tex]
[tex]25\times7=175[/tex]
[tex]5a=175[/tex]
[tex]\frac{5a}{5} =a[/tex]
[tex]175\div5=35[/tex]
[tex]a=35[/tex]
Your answer is "a = 35."
Hope this helps.
Maya is comparing the prices of 3 brands of canned vegetables.
Brand A is a 16-ounce can and costs $0.89. Brand B is a 32-ounce
can and costs $1.75. Brand C is sold as three 16-ounce cans and
costs $2.65. Which brand is the cheapest per ounce?
A. Brand A
C. Brand C
B. Brand B
D. You need more information.
Brand C is the cheapest per ounce among Brand A and Brand B. So option B is the correct answer
Brand A is a 16-ounce can and costs $0.89
Brand B is a 32-ounce can and costs $1.75.
Brand C is sold as three 16-ounce cans and costs $2.65.
What is an equation?If two expressions are connected with equal sign is called equation.
16a=0.89
32b=1.75
3(16c)=2.65
a=0.055
b=0.0546
c=0.0552
Therefore brand B is the cheapest per ounce
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1 3/2 ÷ 5/2 equals what exactly
In how many ways can 18 hikers be organized into 2 or more groups for trail clearing if all groups have the same number of hikers?
Answer:
4 ways
Step-by-step explanation:
9+9=18
6+6+6=18
3+3+3+3+3+3=18
2+2+2+2+2+2+2+2+2=18
The graph f(x)=x^2 was transformed to create the graph g(x)=−(3x)^2.
Which statement describes this transformation?
a reflection over the x-axis and a horizontal compression
a reflection over the y-axis and a horizontal compression
a reflection over the y-axis and a vertical compression
a reflection over the x-axis and a vertical compression
Answer:
the first one.
Step-by-step explanation:
the "-" sign simply turns everything upside-down. what was originally above the x-axis is now below it, and what was below the x-axis is now above it. hence : a reflection over the x-axis.
and 3x compared to x simply makes us race "faster" along the x-axis. we get now at x the functional value we would have gotten at 3x with the original function. so, the function graph appears compressed in the left-right (horizontal) direction compared to the original graph.
Need the value of a and the value of b
Working together, it takes two different sized hoses 35 minutes to fill a small swimming pool. If it takes 55 minutes for the larger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on it's own?
Answer:
[tex]96.25[/tex] minutes.
Step-by-step explanation:
The question states that it takes the larger hose [tex]55[/tex] minutes to fill the entire pool on its own. Assume that the larger hose fills the pool at a constant rate. What fraction of the pool would this hose fill in each minute?
The larger hose fills [tex]\displaystyle \frac{1}{55}[/tex] of the pool in each minute. That is: [tex]\displaystyle \frac{1\; \text{pool}}{55\; \rm \text{minutes}} = \frac{1}{55}\; \text{pool} \cdot \text{minute}^{-1}[/tex].
Similarly, assume that the smaller hose is also filling the pool at a constant rate. The question states that it takes [tex]35[/tex] minutes for the two hoses to fill the pool when working together. Therefore, when working together, the two hoses would fill [tex]\displaystyle \frac{1}{35}[/tex] of the pool in each minute. That is: [tex]\displaystyle \frac{1\; \text{pool}}{35\; \rm \text{minutes}} = \frac{1}{35}\; \text{pool} \cdot \text{minute}^{-1}[/tex]
The difference between these two fractions should represent the fraction of the pool that the smaller hose fills in each minute:
The smaller hose fills [tex]\displaystyle \left( \frac{1}{35} - \frac{1}{55} \right)[/tex] of the pool in one minute. That's [tex]\displaystyle \left( \frac{1}{35} - \frac{1}{55} \right)\; \text{pool} \cdot \text{minute}^{-1}[/tex].
At [tex]\displaystyle \left( \frac{1}{35} - \frac{1}{55} \right)\; \text{pool} \cdot \text{minute}^{-1}[/tex], filling the entire pool would take
[tex]\displaystyle \frac{1\; \text{pool}}{\displaystyle \left( \frac{1}{35} - \frac{1}{55} \right)\; \text{pool} \cdot \text{minute}^{-1}} = \frac{1}{\displaystyle \frac{1}{35} - \frac{1}{55}}\; \text{minute} = 96.25\; \text{minute}[/tex].
Hence, it would take [tex]96.25[/tex] minutes for the smaller hose to fill the entire pool on its own.
What fraction of the Y10 students are girls? Give your answer in its simplest form.
Answer:
117/234 Whch is Y10 Girls/ All Y10 Students.
to prepare for a party, Mark buys a small bunch of balloons for $6 and gift bags that cost $5.15 each. he spends a total of $72.95 on the balloons and a gift bag for each person he invited to his party- what is the number of person he invited?
Answer:
p=13
Step-by-step explanation:
let p = people
72.95=5.15p+6
-6
56.95=5.15
/5.15
p=13
Answer:
Equation:5.14x+6=72.95
Answer:13 people
Step-by-step explanation:
5.15x+6=72.95
-6 on both sides
5.15x=72.95
divide by 5.15 on both sides
x=13 people
a mass of 37 and a kinetic energy of 925 make a graph to show details
Answer:
25
Step-by-step explanation:
Power-to-weight ratio is a calculation commonly applied to engines and mobile power sources to enable the comparison of one unit or design to another.
a teacher wants to paint a wall wit a door in a classroim. the entire wall is a 12 ft by 10 ft rectangle, and the foor is a 3ft by 8ft rectangle
Answer:
The answer is 144 square feet.
Step-by-step explanation:
if you are trying to find the sum of the room, then you multiply 10 and 12 which equals 120 then you multiply 8 and 3 and that equals 24, then you add your two answers (120+24) and that equals 144 square feet.
24. Who spent the least amount of time on
homework?
IM BEGGING YOU GUYS ANSWER ASAP TIMED ASSIGNMENT
Answer:
i would say jon
Step-by-step explanation:
because he has the highest POSITIVE number but i need more info to be certain
..............................
Answer: Your Mother
Step-by-step explanation:
Just kidding.
Grandmother. The trick is that the mother of the daughter of the mother is still the mother, so fatima's mom's mom is the grandmother.
pls help me with this question
Answer:
55.2° ...............................
Which Box-and-Whisker Plot below correctly illustrates the data shown below? {30, 22, 22, 27, 28, 23, 24, 25, 26, 23} A. B. C. D.
The box-and-whisker plot that illustrates the given data set is shown in the image below (see attachment).
What is a Box-and-Whisker Plot?A box-and-whisker plot consists of the following values of a data set: min, max, lower quartile, median, and upper quartile..
Given the data set, 30, 22, 22, 27, 28, 23, 24, 25, 26, 23, the five-number summary for the box-and-whisker plot would be:
Minimum: 22 Quartile Q1: 22.75 Median: 24.5 Quartile Q3: 27.25 Maximum: 30Therefore, the box-and-whisker plot that illustrates the given data set is shown in the image below (see attachment).
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Answer:
the answer is d look at this picture for proofs
Which number belongs to the solution set of the equation below?
X-18 = 17
Answer:
a. 35
Step-by-step explanation:
x - 18 = 17
x = 35
4/5 + 3 1/10 ASAP plsssss
Answer:
3 9/10
Step-by-step explanation: change 4/5 to 8/10 and then add. pls give brainiest thanks :D
If 106 people attend a concert and tickets for adults cost four dollars what ticket for a children cost $3.75 and total receipt for the concert was $414 how much of each went to the concert
Answer:
A = 66 adults, C = 40 children
Step-by-step explanation:
We can set up a system of equations to find how many adults and how many children attended the concert, with A representing the adults and C representing the children:
[tex]A + C = 106\\4A+3.75C=414[/tex]
We can use the elimination method and multiply everything in the first equation by -4
[tex]-4(A+C=106)\\-4A-4C=-424\\4A+3.75C=414[/tex]
Once we add the values together, we're left with:
[tex]-0.25C = -10[/tex], where solving for C gives us C = 40
We can plug C into the first equation to find A: [tex]A+40=106[/tex], where solving for A gives us A = 66
Help me light get brainless ( math )
A circle, when using degrees, have 360 degrees. 1/360 of a circle can be calculated by multiplying the two numbers.
[tex]\frac{1}{360}*360=1[/tex]
Therefore, the answer for the question is
1/360 of a circle measure 1 degree
I've got a question I think I've got right. Want to be sure tho
Explanation:
Theoretically, we expect "6" to show up once every 6 rolls assuming we have a fair die. So about 1/6 = 0.17 = 17% of the time.
The table on the other hand shows "6" showing up 14 times out of 100 to get an experimental probability of 14/100 = 0.14 = 14% which is 3 percentage points less than the theoretical estimate.
Answer:
Yes, you've got it correct.
Step-by-step explanation:
What is the volume of Josephine's gardening shed, in cubic feet?
Answer:
23 ft³
Step-by-step explanation:
Hope it helps.
[tex] \\ \\ [/tex]
Determine whether or not the function is continuous for the given values of X.
f(x) = x^2-25/x-7 :x=0, x=7,x= -5
Is the function continuous at x=0?
a. Yes, the point is defined, limit f(x) exists, and limit f(x) 0. (Simplify your answer.)
x →c x →0
b. No, the function is not continuous at x=0 .
Answer:
A. Yes, the point is defined, limit f(x) exists, and limit f(x) 0.
Step-by-step explanation:
Let be [tex]f(x) = \frac{x^{2}-25}{x-7}[/tex], a rational function is continuous at a value of [tex]x[/tex] if and only if denominator is different from zero. In particullar, [tex]x-7 \neq 0[/tex].
Then, we find that function is continuous for every value of [tex]x[/tex] except [tex]x = 7[/tex]. Thus, the function is continuous at [tex]x = 0[/tex], which is evaluated below:
[tex]f(x) = \frac{(x+5)\cdot (x-5)}{x-7}[/tex]
[tex]f(0) = \frac{(0+5)\cdot (0-5)}{0-7}[/tex]
[tex]f(0) = \frac{(5)\cdot (-5)}{-7}[/tex]
[tex]f(0) = \frac{-25}{-7}[/tex]
[tex]f(0) = \frac{25}{7}[/tex]
Thus, correct answer is A.
standard deviation of 18, 24, 17, 21, 24, 16, 29, 18
[tex]\frac{7\sqrt{23}}{8}\approx 4.196352583[/tex]
What is the value of this expression when c= -4 and d= 10?
11 (3+2²)
Solve the following equation for b.
2 = Q + f/b
Answer:
b=[tex]\frac{f}{2-Q}[/tex]
Step-by-step explanation:
Simplify the radical - 160