Answer:
x=1 and y=4/5
Step-by-step explanation:
Given system of equations
3x+5y=7
5x+10y=13
Multiply first equation by 2
2(3x+5y)=2(7)
6x+10y=14
Eliminate y-variable to get "x"
6x+10y=14
- 5x+10y=13
x = 1
Substitute x=1 into either equation and find "y"
3x+5y=7
3(1)+5y=7
3+5y=7
5y=4
y=4/5
Therefore, x=1 and y=4/5
2. Leon decides that the hummingbirds like a sugar solution that has a concentration of 105 g/L. If Leon makes 4 L of this solution, how many grams of sugar should he use?
Answer:not understanding how he steps
Step-by-step explanation:
Write a word description of the set. {−5, −4, −3, −2, −1}
The 3rd term of an arithmetic sequence is -1 and the 7th term is -13. find the explicit formula for this sequence. What is a22?
Answer: Hopefully the math terms won't confuse anyone.
So in the series, a_3 = -1 and a_7 = -13. Since it's an arithmetic sequence, all the terms in the series can be represented as:
a_n = a_0 + n * k
where n is the nth number. K is a constant you add to reach the next term, and a_0 is the starting constant.
a_7 = a_0 + 7 * k
a_3 = a_0 + 3 * k
solving this system gives you that
k = - 3 and a_0 = 8
Hence:
a_22 = 8 + 22 * -3 = -58
Step-by-step explanation:
I need help with this
Answer:
-26
Step-by-step explanation:
Use the given formula to find the next terms.
c(1) = 6 . . . . . . given
c(2) = c(1) -16 = 6 -16 = -10
c(3) = c(2) -16 = -10 -16 = -26
The third term in the sequence is -26.
Complete the proof thaf HI = GJ
What completes reason #6 of the proof
ASA
SAS
SSS
AAS
CPCTC
What completes reason #7 of the proof
ASA
SAS
SSS
AAS
CPCTC
Answer:
ASA, CPCTC
Step-by-step explanation:
#6 is ASA because it proved that 2 angles and 1 side between them are congruent.
#7 is CPCTC because it proved the triangles are congruent, so corresponding parts are also congruent.
$4750 invested at 10% p.a compounded semiannually for 10 years, calculate the interest
Answer:It is given that principal , P = 1000 Rs. = 210 Rs. hence, compound interest = 210 Rs.
Step-by-step explanation:
Mark says he has 4/10 of a dollar. Matt says he has 40/100 of a dollar. Matt says he has more money than Mark. Is he correct? Why?
Group of answer choices
A.Matt is not correct because they have the same amount of money.
B.Matt is not correct because Mark has more money.
C.Matt is correct because 40 is greater than 4.
D.Mark is correct because 100 is greater than 10.
Answer:
A
Step-by-step explanation:
If you simplify 40/100, you should get 4/10, which is still the same amount that Mark has.
You simplify by finding the greatest common factor between 40 and 100. In this case, it is 10. So you divide 40 by 10 and 100 by 10 to simplify.
I need help asap .....
Answer:
1/4^2 (A)
Step-by-step explanation:
hope this helped :D
What is the greatest common factor of 30 and 27?
Answer:
3
Step-by-step explanation:
well my alexa said so and shes always right so dont worry lol
Answer: 3
Step-by-step explanation:
30: 1, 2, 3, 5, 6, 10, 15, 30
27: 1, 3, 9, 27
The GCF is 3
hope this helps!
Match the following items. Determine the functions if θ is a first-quadrant angle, and sin = √10/5. So basically, find cosine, tangent, co-secant, secant, and cotangent please!!
Will give brainliest to the person who answers first as long as its a real answer.
Answer:
cosine=rootunder15/5
tangent=whole root under(2/3)
cosecant=5/rootunder10
secant=5/root under15
contangent=whole root under(3/2)
Step-by-step explanation:
Using the formulae of pythagoras and reciprocal for the given angles.
Please HELP ! It’s worth a lot of points and I don’t understand
• Admissions to a zoo cost $12 for adults and $8 for children. A group of 34 people attending the zoo paid a
total of $312 in admission fees.
(a) Write and solve a system of equations that model the problem. Show all your work
(b) How many adults went to the zoo?
(C) How many children went to the zoo?
Hi mate!
Please check my attached image for the answer with explanation.
Hope it helps...
3 Bennett exercises by lifting weights. He can lift 200 pounds
3 times without resting between lifts. Which equation shows
a correct way to find the total number of ounces, n, he can lift
without resting?
Bennet can lift 600 pounds without resting.
EquationAn equation is an expression that shows the relationship between two or more numbers and variables.
Let n represent the total number of ounces he can lift without resting, hence:
n = 200 pounds * 3
n = 600 pounds
Bennet can lift 600 pounds without resting.
Find out more on Equation at: https://brainly.com/question/2972832
Factor the polynomial 12c9 28c7. Find the GCF of 12c9 and 28c7. 4c7 Write each term as a product, where one factor is the GCF. 4c7(3c2) 4c7(7) Use the distributive property. What is the resulting expression? 4(3c9 7c7) 4c7(3c2 7) 4c7(3c9 7c7) 4c7(12c9 28c7).
Factors of a polynomial together constitute the polynomial by multiplication. The factored form of [tex]12c^9 + 28c^7[/tex] is [tex]= 4c^7(3c^2 + 7)[/tex]
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
Remember that many times, when using letters or symbols, we hide multiplication and write two things which are multiplied, close to each other. As in [tex]2 \times x = 2x[/tex]
The given polynomial is [tex]12c^9 + 28c^7[/tex]
To factor it, we can use the fact that 12 and 28 are both having 4 as common factor since:
[tex]12 = 4 \times 3 \\28 = 4 \times 7[/tex]
Thus, the given polynomial is factored as:
[tex]12c^9 + 28c^7 = 4 \times 3 \times c^7 \times c^2 + 4 \times 7 \times c^7 = 4c^7(3c^2 + 7)[/tex]
Thus,
The factored form of [tex]12c^9 + 28c^7[/tex] is [tex]= 4c^7(3c^2 + 7)[/tex]
Learn more about factors of a polynomial here:
https://brainly.com/question/16078564
Answer:
Factors of a polynomial together constitute the polynomial by multiplication. The factored form of is
What is distributive property of multiplication over addition?
Suppose a, b and c are three numbers. Then we have:
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
Remember that many times, when using letters or symbols, we hide multiplication and write two things which are multiplied, close to each other. As in
The given polynomial is
To factor it, we can use the fact that 12 and 28 are both having 4 as common factor since:
Thus, the given polynomial is factored as:
Thus,
The factored form of is
Learn more about factors of a polynomial here:
brainly.com/question/16078564
Step-by-step explanation:
Directions: Simplify each term by factoring.
1. 3rs
2. 12xy
3. 5x2
4. 36x2
5. 25x2
6. 30x2
7. 5x3
8. 24y3
9. 9xy
10. 12x4
Answer:
3. 10x
4. 72x
5. 50x
6. 60x
7. 15x
8. 72y
10. 48x
Step-by-step explanation:
1, 2, and 9 couldn't be factored any further, so they stay the same.
6x-2+17=8x+1
please help solve for x
Answer:
7
Step-by-step explanation:
6x - 2 + 17 = 8x + 1
6x + 15 = 8x + 1
2x = 14
x = 7
Step-by-step explanation:
Question:-6x-2+17=8x+1
Answer:- 6x-2+17-8x-1=0
-2x+14=0
-2x=-14
x= -14/-2
x= 7
hope this helps you
have a good day :)
What is the equation to
calculate the slope?
Answer:
= A
Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
Given f(x) = 3x^2 + kx-1, and the remainder when f(x) is divided by x + 4 is 27, then what is the value of k?
Answer:
k=10
do long or synthetic division. the quotient = 3x + 22 with remainder 81
with long division first divide x into 3x^2 to get 3x. Then
3x times (x-4) = 3x^2-12x
subtract that from 3x^2+kx to get (k-12)x bring down the -7 to get
(k-12)x -7
you want a remainder of 81, so you want -4 times a constant to = -88 (-7-(-88)=81
4 x 22 =88. 22 is the constant
22=12+k
k=10
Step-by-step explanation:
lmk if i helped!
Very urgent please help!!
the biggest negative number should be last and the biggest whole number should be last
What is the image of (8,7) after a reflection over the line y
x?
Is 700% of 3 less than 10, greater than 10 but less than 100, or greater than 100?
Answer:
greater than 10 but less than 100
Step-by-step explanation:
700% of 3 is 21, since 100% of 3 is 3, you multiple it 7 times for 700% which gets you 21
Given m||n, find the value of x.
Will give Brainliest!
Answer:
X = 8 because the two given angles are alternate interior, meaning they are equal. Knowing that, you set up the equation 6x-2=46 and solve algebraically for 8.
I HOPE THIS HELPS YOU, AND I HOPE ITS CORRECT, STAY SAFE :3
I need help. hehe.
Please and thankyou :DDD
Nova's hair grew 2 1/2 inches in 12 weeks. How long will her hair be in 1 week?
Answer:
Hair can grow about 1/10th of an inch.
pls help I'm stuck on these questions and i need to turn this in tomorrow
Answer:
Step-by-step explanation:
11) 4x+2=5x-10 => 4x-5x=-10-2 => -x=-12 => x=12
12)25x=24x+4 => x=4
13)20x=21x-5 => -x=-5 => x=5
14)20x+10x=180 => 30x =180 =>x=6
To understand it better,you may check the picture down below.
Find the value of x.
110°
50°
5xº
A. 12
B. 8
OO
C. 10
D. 36
Answer:
A) 12
Step-by-step explanation:
110-50=60
60/5 = 12
Hope this helps!!
There are 15 students in a class. 9 of them play basketball, and 11 of them play soccer. How many students in the class play both soccer and basketball
We will see that the number of students that play both sports is given by the inequality:
5 ≤ x ≤ 9
How to find the number of students that play both sports?
We do know that in the class, there are 15 students.
Such that:
9 of them play basketball.11 of them play soccer.If you add these numbers, you get:
9 + 11 = 20
This gives more than the number of students that we have, to get the minimum number of students that play both sports we subtract the number of students:
20 - 15 = 5
5 students play both sports, but this is the minimum number.
There is also the case where out of the 11 students that play soccer, there are 9 that play basketball (so 9 students play both sports) and 4 students don't play any sport.
So the number of students that play both sports is given by the inequality:
5 ≤ x ≤ 9
If you want to learn more about inequalities, you can read:
https://brainly.com/question/11234618
What is the maximum area of a rectangle with a perimeter of 320 feet?
Answer:
For a rectangle of given perimeter, here 320 feet, the rectangle with the greatest are is the square. This square shall be 80 x 80. Maximum at (80, 6400)
Step-by-step explanation:
What are all the real square roots of 16?
Answer:
4.000
that's the answer I think
Example 1:
Find the value of "t" that satisfies the equation. 5t -100.50 = 140.50 Using inverse operations,
show all your steps.
pls help with this
Answer:
Step-by-step explanation:
Practice using the work formula. A bathtub that holds 42 gallons of water is filling at a rate of 4 gallons per minute. How long will it take to fill the tub? Enter your answers into the boxes. Enter the time t as a decimal. W = rt =
gal = gal/min. t ga • gal/min = t min = 1
Answer: The percentage of the tub after 6 minutes is 30 %
Step-by-step explanation: The calculation can be done as follows
1 minutes= 4 gallons
6 minutes= 4×6
= 24 minutes
If the bathtub can hold 80 gallons of water then the percentage of the tub after 6 minutes can be calculated as follows
= 24/80
= 0.3 × 100
= 30 %
Hence the percentage of the tub will be filled after 6 minutes is 30 %
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