Answers
Answer:
The value of x of the solution to the system of equations
x = -8Hence, option (C) is true.
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}x=2y-4\\ 7x+5y=-66\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}x-2y=-4\\ 7x+5y=-66\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}x-2y=-4\mathrm{\:by\:}7\:\mathrm{:}\:\quad \:7x-14y=-28[/tex]
[tex]\begin{bmatrix}7x-14y=-28\\ 7x+5y=-66\end{bmatrix}[/tex]
subtracting 7x-14y=-28 from 7x+5y=-66
[tex]7x+5y=-66[/tex]
[tex]-[/tex]
[tex]\underline{7x-14y=-28}[/tex]
[tex]19y=-38[/tex]
so the equations become
[tex]\begin{bmatrix}7x-14y=-28\\ 19y=-38\end{bmatrix}[/tex]
solve 19y = -38
[tex]19y=-38[/tex]
Divide both sides by 19
[tex]\frac{19y}{19}=\frac{-38}{19}[/tex]
[tex]y=-2[/tex]
[tex]\mathrm{For\:}7x-14y=-28\mathrm{\:plug\:in\:}y=-2[/tex]
[tex]7x-14\left(-2\right)=-28[/tex]
[tex]7x+28=-28[/tex]
[tex]7x=-56[/tex]
Divide both sides by 7
[tex]\frac{7x}{7}=\frac{-56}{7}[/tex]
[tex]x=-8[/tex]
Therefore, the value of x of the solution to the system of equations
x = -8Hence, option (C) is true.
Related Questions
A and B can do a piece of work in 12 days; B and C can do it in 15 days while C and A can finish it in 20 days. In how many days will A, B and C finish it, working together? In how many days will each of them finish it working alone?
Answers
Answer:
It takes A 30 days to finish the work aloneIt takes B 20 days to finish the work aloneIt takes C 60 days to finish the work aloneWorking together, it takes them 10 days to finish the workStep-by-step explanation:
Given;
[tex]\frac{1}{A} + \frac{1}{B} =\frac{1}{12} \\\\\frac{1}{B} + \frac{1}{C} = \frac{1}{15}\\\\\frac{1}{A} + \frac{1}{C} = \frac{1}{20}\\\\[/tex]
From given equations above;
[tex]\frac{1}{A} +\frac{1}{B} = \frac{1}{12}\\\\But, \frac{1}{B} =\frac{1}{15} -\frac{1}{C}\\\\ \frac{1}{A} +\frac{1}{15} -\frac{1}{C}= \frac{1}{12}\\\\Also, \frac{1}{C} = \frac{1}{20} -\frac{1}{A} \\\\ \frac{1}{A} +\frac{1}{15} -(\frac{1}{20} -\frac{1}{A})= \frac{1}{12}\\\\ \frac{1}{A} +\frac{1}{15} -\frac{1}{20} +\frac{1}{A}= \frac{1}{12}\\\\ \frac{1}{A} +\frac{1}{A} = \frac{1}{12} +\frac{1}{20}-\frac{1}{15}\\\\\frac{2}{A} = \frac{300+ 180-240}{3600} \\\\\frac{2}{A} =\frac{240}{3600}\\\\[/tex]
[tex]\frac{2}{A} = \frac{1}{15} \\\\A = 30 \ days[/tex]
solve for B;
[tex]\frac{1}{A} + \frac{1}{B} = \frac{1}{12}\\\\ \frac{1}{B} = \frac{1}{12} - \frac{1}{A} \\\\ \frac{1}{B} = \frac{1}{12} - \frac{1}{30}\\\\ \frac{1}{B} =\frac{5-2}{60} \\\\ \frac{1}{B} =\frac{3}{60}\\\\B = 20 \ days[/tex]
Solve for C;
[tex]\frac{1}{C} =\frac{1}{20} -\frac{1}{A}\\\\ \frac{1}{C} = \frac{1}{20} -\frac{1}{30}\\\\ \frac{1}{C} =\frac{3-2}{60} \\\\ \frac{1}{C} =\frac{1}{60}\\\\C = 60 \ days[/tex]
When they work together;
[tex]\frac{1}{A} +\frac{1}{B} +\frac{1}{C} =\frac{1}{y} \\\\\frac{1}{30} +\frac{1}{20} +\frac{1}{60} = \frac{1}{y}\\\\\frac{2+ 3+ 1}{60} =\frac{1}{y}\\\\\frac{6}{60} =\frac{1}{y}\\\\y = 10\ days[/tex]
Part B
Choose the inequality that compares the numbers
Choose
Choose
0.25
Answers
I'm sorry but this question is very confusing but I believe you want me to choose 0.25?
<3 Enjoy,
Dea
A 2-column table with 5 rows. The first column, number of snapdragons, x, has the entries 11, 12, 13, 14. The second column, number of daisies, y, has the entries 34, 33, 32, 31.
Hans is planting a garden with snapdragons and daisies. The table shows some possible combinations of the two plants. If Hans plants 29 daisies, how many snapdragons will he plant?
Answers
9514 1404 393
Answer:
16
Step-by-step explanation:
The values in each row of the table have a total of 45. If Hans plants 29 daisies, he likely will plant ...
45 -29 = 16 . . . snapdragons
__
One can also find the answer by extending the table 2 more rows. Each x entry increases by 1 as each y entry decreases by 1. Then the number of snapdragons listed in the second added row will be 14+2 = 16.
Answer:
x=45-y and 16
Step-by-step explanation:
What is the x- intercept of the line that represents y=-4x+12
Answers
Answer:
3,0
for steps
Step-by-step explanation:
math
way
What can you do if your struggling in Volume in Math?
Answers
Answer:
Study Harder
Step-by-step explanation:
If a circle has a diameter of 30 meters, which expression gives its area in
square meters?
A. 30•n
B. 30^2•n
C. 15^2•n
D. 15•n
Answers
Answer:
C. 15²π
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Diameter: d = 2rArea of a Circle: A = πr²Step-by-step explanation:
Step 1: Define
d = 30 m
Step 2: Find Area
Substitute [D]: 30 m = 2rIsolate r: 15 m = rRewrite: r = 15 mSubstitute [AC]: A = π(15 m)²Rearrange: A = 15²πpleasee help me :( look the picture pleasee thank you
Answers
Answer:
$34.98
Step-by-step explanation:
$5.30 x 6 3/5 = $34.98
Write the following quadratic equation in equivalent factored form by filling in the blanks. x^2+3x-40 (x - __ )(x + __ )
Answers
Answer:
(x-5)(x+8)
Step-by-step explanation:
Which of the following events is impossible?
Spinning a number that is neither odd nor even.
Spinning an odd number.
Spinning a number greater than 1.
Spinning a number less than 1.
Answers
Answer: number 4
Step-by-step explanation:
Answer:
Spinning a number that is neither odd nor even.
Step-by-step explanation:
Every number is either odd or even
1. 3(x+15)=57
2. 2(x-9)=26
3. 4(x-12)=-32
[tex]solve \: for \: x[/tex]
Answers
Step-by-step explanation:
1)3(x+15)=57
3x+45=57
3x=57-45
3x=12
x=12/3.
x=4
2)2(x-9)=26
2x-18=26
2x=26+18
2x=44
x=44/2
x=22
3)4(x-12)=-32
4x-48=-32
4x=-32+48
4x=+16(greater number sign)
x=16/4
x=4
What is the value of x?
(57-5)
Your answer:
x = 15
x = 13
x = 60
ox=37
pls helpppppo
Answers
Answer:
x = 13
Step-by-step explanation:
All triangles equal 180 degrees
Since this is an equilateral triangle, all angles have the same measurement
180 degrees divided by 3 angles = 60 degrees per angle
Make an equation based on the info given:
60 = 5x - 5
Solve:
*add 5 to both sides*
65 = 5x
*divide both sides by 5*
13 = x
Slope= -3/5. Y-intercept = -1
Answers
Answer:
y=-3/5x-1
Step-by-step explanation:
y=-3/5x-1
slope intercept form
angle a= 6x-5 degrees angle b=4x+45 degrees
Answers
Answer:
180
Step-by-step explanation:
Answer: the correct answer is 125°
Step-by-step explanation: i just had to get it wrong so i could get it right
Which of the following is not one of the five elements of hip-hop culture?
A. DJ-ing
B. Disco dancing <<
C. Graffiti art
D. MC-ing
answer : B
I hope this helped !
Answers
Divide 350rs in 3:4 ratio
plzzz fast
Answers
150 : 200
Explanation:
3 + 4 = 7
350 / 7 = 50
50 x 3 = 150
50 x 4 = 200
4a I do not understand the process
Answers
Answer:
9/40
Step-by-step explanation:
He needs 5/8, he already has 2/5, so still needed is 5/8-2/5.
To add or subtract fractions, the denominators must be equal.
Simplest approach is to multiply them. 8 times 5 is 40, so 40 is the new denominator we need for both fractions.
So first we convert 5/8 to 25/40.
Then we convert 2/5 to 16/40.
Now we can subtract them:
25/40 - 16/40 = 9/40.
9/40 cannot be simplified so this is the final answer.
There are some basic rules you need to know to work with fractions. If above work is too fast, comment below for deeper explanation.
All you need to do is subtract 5/8 - 2/5 and to do that, you would need a common denominator. So just,
5 2
— —
8 5
Multiply the two bottoms to get 40 and do the same thing with the top that you did with the bottom so....
5 x 5 = 25
— —
8 x 5 = 40
2 x 8 = 16
— —
5 x 8 = 40
Subtract 25 - 16 = 9 and keep the denominator the same so 9/40 is your answer.
5. Write an equivalent expression for (2x + 4)(x-5)
Answers
[tex]2x^{2} -10x +4x -20[/tex]
I'm not sure if you need to simplify
22. Evaluate the expression 1x2 + 2x +1 when
x = -5.
Answers
On a bicycle trail, the city is painting arrows like the one shown below: Upper pointing arrow with height of 15 and length of 13. Rectangular base of arrow has length of 11 and height of 12. All units are in centimeters. Calculate the area of the arrow by decomposing it into rectangles and triangles.
Answers
Answer:
229.5[tex]cm^{2}[/tex]
Step-by-step explanation:
In order to calculate the area of the arrow we need to calculate the area of the body of the arrow, and then the head of the arrow. The body of the arrow is a rectangle meaning that the area (Ar) can be calculated by multiplying the length by the height like so...
Ar = l * h
Ar = 11cm * 12cm
Ar = 132 [tex]cm^{2}[/tex]
Now we need to find the area of the head of the arrow, which is a triangle and therefore we can use the formula for the area of a triangle (At) which is height times base divided by 2...
At = [tex]\frac{h * b}{2}[/tex]
At = [tex]\frac{15cm * 13cm}{2}[/tex]
At = [tex]\frac{195cm^{2} }{2}[/tex]
At = 97.5[tex]cm^{2}[/tex]
Now we simply add both areas together to calculate the total area of the arrow...
132[tex]cm^{2}[/tex] + 97.5[tex]cm^{2}[/tex] = 229.5[tex]cm^{2}[/tex]
168 plese give me brainlyest
Question 2
8 pts
You buy a bike for $200 and a skateboard for $30. What is the total cost if the tax rate is
8.25%? Round your answer to the nearest hundredth.
I
Answers
Answer:
$248.98
Step-by-step explanation:
200 + 30 = 230.
8.25% of 230 is 18.975, rounded to $18.98.
230 + 18.98 = 248.98.
HELP!!!!!!!!!!!!!!! Together, two clerks can count a certain number of coins in 7.5 minutes. If one clerk, working alone, takes 8 minutes longer than the other needs to do the same job working alone, how long does each clerk need to count the coins when alone?
Answers
Answer:2 minutes each
Step-by-step explanation:
A jar contains 5 blue, 3 red. and 7 white balls. What is the approximate probability of drawing a blue or red ball on the first draw?
A. 33%
B. 80%
C. 53%
D. 67%
Answers
Answer:
C
Step-by-step explanation:
Question 1: The slope of the line that goes through (5,12) and (10,9) is?
Question 2: The y-intercept of the line that goes through (5,12)and (10,9) is?
Answers
someone answer please:)
I think its saying to find out what a means
Answers
5. What is the length of the unknown leg?
Answers
Answer: a = 8
Step-by-step explanation:
a² + b² = c²
a² + 6² = 10²
a² + 36 = 100
a² = 100 - 36
a² = 64
a = √64
a = 8
4. What is the value of -24 + 6?
Answers
Answer:-18
Step-by-step explanation:
Answer:
-18
Step-by-step explanation:
Please give brainliest!
What are the correct answers?
Answers
Jesse plays basketball for his high school team. In his last 12 twelve games he scored the following points: 18, 22, 19, 15, 24, 22, 18, 15, 10, 14, 18, 10. Barbara plays basketball for her high school team. In her last 10 games she scored the following points: 15, 12, 12, 16, 18, 22, 16, 20, 20, 14. Determine which player had the largest range of points scored? What is the difference is the range of points between the two players?
In the form of a paragraph, explain in complete sentences the steps necessary to compute the range of the points, which team player had the largest range of points and include the final answer in your explanation. Complete your work in the space provided.
Answers
Step-by-step explanation:
Jesse's range: 14
Barbara's range: 10
Range is determined by using the largest number and the smallest number in a set of integers and subtracting them. Jesse's highest number was 24, and his lowest would be 10. 24-10=14.
Barbara's highest score was 22, while her lowest was 12. 22-12=10.
subtracting Jesse's range from Barbara's range would equal 2.
(please don't cook me if this is incorrect but i'm 97% sure i'm right)
Answer:
Jesse has the largest range. To find the range you have to take the greatest value and the lowest value to find the range. Jesse's largest value is 24 points while his lowest is 10 points making his range 14 points. Barbara's highest value is 22 points while her lowest is 12 points making her range 10 points.
Step-by-step explanation:
24-10=14 Jesse
22-12=10 Barbara
PLEASE HELP!!!!!!!!!
Identify the type for each triangle.
(Please do not answer if you do not know so the right people get the points)
Answers
Answer:
1. isosceles
2. obtuse
3. isosceles
4. right triangle
5. right isosceles triangle
6. obtuse isosceles triangle
PLEASE HELP ME FIND X!!!!!!!!!! 50 POINTS
Answers
Answer:
96 this should help it it does. you are welcome if it does not do not get mad at me
Step-by-step explanation:
i just did it