Given:
The system of equations is
[tex]8x+9y=36[/tex]
[tex]3x+4y=16[/tex]
To find:
The solution of the given system of equations using the substituting method.
Solution:
We have,
[tex]8x+9y=36[/tex] ...(i)
[tex]3x+4y=16[/tex] ...(ii)
From (ii), we get
[tex]3x=16-4y[/tex]
[tex]x=\dfrac{16-4y}{3}[/tex] ...(iii)
Putting this value in (i), we get
[tex]8\left(\dfrac{16-4y}{3}\right)+9y=36[/tex]
Multiply both sides by 3.
[tex]8(16-4y)+27y=108[/tex]
[tex]128-32y+27y=108[/tex]
[tex]-5y=108-128[/tex]
[tex]y=\dfrac{-20}{-5}[/tex]
[tex]y=4[/tex]
Putting y=4 in (iii), we get
[tex]x=\dfrac{16-4(4)}{3}[/tex]
[tex]x=\dfrac{16-16}{3}[/tex]
[tex]x=\dfrac{0}{3}[/tex]
[tex]x=0[/tex]
Therefore, the solution of given system of equations is (0,0).
help with question 1
Answer:
si=Ptr/100
and di solution
need help please thanks
Answer:
6x-y = -18
Step-by-step explanation:
Leslie purchased a new bar of soap. Three days after she originally used
the soap, she was curious how much soap per day she was using. She
decide to weigh her soap and that the bar was 103 grams. Four day later
she re-measured the same bar of sop and record a weight of 80 grams.
Assuming that Leslie uses the same amount of soap daily (and that she
used soap daily), write an equation that shows that amount of soap
remaining after d days of use. *Hint: slope intercept form and you will
need the slope formula
Answer:
The equation is:
y= 103 --23d
Step-by-step explanation:
The initial amount was 103 grams.
After one day of use the remaining amount of soap was 80 grams.
So the amount of time he spent in one day was:
Each day Leslie spends 23 grams of soap.
if d represents the number of days elapsed then, the amount of soap "y" that Leslie spends after days is:
y= 103 --23d
Larry could ______ to make his budget work and afford the ticket.
Answer:
I need the answer choices
Step-by-step explanation:
Jordan signed a rental agreement for her new condo. Based on the contract, who is responsible for paying the gas, electric, and water bills? A. The owner B. The utility company C. Jordan D. Both the owner and Jordan
Answer:
Jordan
Step-by-step explanation:
SOLVE
[tex](2 x - 4) {?}^{2} [/tex]
Answer:
4x² - 16.
Step-by-step explanation:
(2x-4)² =?
(2x-4)² = (2x)² - (4)²
= 4x² - 16.
Answer:
x = 2
Step-by-step explanation:
To solve , equate to zero, that is
(2x - 4)² = 0, so
2x - 4 = 0 ( add 4 to both sides )
2x = 4 ( divide both sides by 2 )
x = 2
A light bulb consumes 11700 watt-hours in 3 days and 6 hours. How many watt hours does it consume per day?
Answer:
3600 watt-hours consumed per day.
Step-by-step explanation:
First we'll want to find how many hours are in 3 days and 6 hours.
3 x 24 = 72 + 6 = 78
78 hours is 3 days and 6 hours.
We then divide 11700 by 78 to find out how many watt-hours it will consume per hour.
11700 / 78 = 150
Now that we know how many watt-hours it will consume per hour, we can multiply it by 24 to find out how many it will consume in a day.
150 x 24 = 3600
pleeease help will give brainliest
Answer:
2x,5x
Step-by-step explanation:
thats right I am not smart
Answer:
(x,y) = ( -6,8)
Step-by-step explanation:
waiting for brainlist
Jerry is Reading at a rate of 2 pages every 4 minutes. which equation shows jerrys reading rate in pages per minute?
Answer:
1/2 a pager per minute
Step-by-step explanation:
2 pages every 4 mins
1 page every 2 mins
1/2 a page every 1 min
Hello, I need help don't answer the first 3
Answer:
5. all relations are a function
6. number 4 is not a function
7. 4 is not a function
8. all are functions
9.c
10. x-2=y
11. 2/3
Step-by-step explanation:
* HELP* A book sold 39,900 copies in its first month of release. Suppose this represents 8.2% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number
Answer:
Total copies sold= 486,585
Step-by-step explanation:
Giving the following information:
Number of copies sold in the first month= 39,900
% of copies sold in the first month= 8.2%
To calculate the total number of copies sold, we need to use the following formula:
Total copies sold= Number of copies sold in the first month/% of copies sold in the first month
Total copies sold= 39,900 / 0.082
Total copies sold= 486,585
if 10^3x=1/0.001,find the value of x
Answer:
x = 1
Step-by-step explanation:
Firstly, look at the left hand of the equation
1/0.001 = 1000 = 10^3
then
10^3x = 1000= 10^3
then
10^3x = 10^3
then
x= 1
Select all that apply.
Which representations show a direct variation?
y = - x
y = 2 x + 3
Input (x) 3 6 9 12 15
Output (y) 4 8 12 16 20
Answer:
Options 1 and 3 are direct variationStep-by-step explanation:
Direct variation is:
y = kxOptions:
1.
y = -x, k = -1, yes2.
y = 2x + 3, not a direct variation, no3.
Try the input/output to determine the direct variation:
4 = 3k k = 4/3Verify the other pairs:
x = 6, y = 6(4/3) = 8x = 9, y = 9(4/3) = 12x = 12, y = 12(4/3) = 16x = 15, y = 15(4/3) = 20This is also a direct variation
The ratio of boys to girls in Ella’s grade is 2:3. How many boys are in Ella’s grade?
Answer:
2
Step-by-step explanation:
If the ratio is 2:3 that means there are 2 boys and 3 girls because the sentence starts with BOYS to GIRLS meaning the number of girls come second
What is the x-intercept of the graph of y=3-5x?
a (3/5,0)
b (-5,0)
c (0,3)
d (0, 5/3)
please help! this is due soon! thanks! :)
Answer:
3/5,0
Step-by-step explanation:
y=3-5x
5x+y= 3
y. = 3/5x
I think so answer is 3/5,0
Yolanda makes $11.25 per hour at her part-time job. During one week, she worked 12 2/5 hours and also earned some tips. Her final pay for the week was $159.50. How much money did Yolanda earn in tips?
Answer:
She earned $20 in tips.
Step-by-step explanation:
First, you need to work out how much pay she'd get for 12 hours work:
12 x $11.25 = $135 for 12 hours work
Then, find out 2/5 of $11.25 to find out how much she would get for the 2/5 of an hour she worked:
2/5 of $11.25 = $4.50
Add both these sums together to get her total pay for hours worked:
$135 + $4.50 = $139.50
Subtract that sum from her total pay to find out how much money she earned in tips:
$159.50 - $139.50 = $20
HELP PLEASE!! I NEED ANSWER SOON!!!!!
Which of the following is true about the expression sqrt3*sqrt12?
A.It represents the product of two irrational numbers and is equivalent to a rational number.
B.It represents the product of two irrational numbers and is equivalent to an irrational number.
C.It represents the product of two rational numbers and is equivalent to a rational number.
D.It represents the product of two rational numbers and is equivalent to an irrational number.
Answer:
A. is correct
Step-by-step explanation:
sqrt3*sqrt12 can be rewritten as √3·√12, which can be extended to
√3·√3·√4.
Note that √4 = 2 and that (√3)^2 = 3,
so the final result is 2*3, or 6 (a rational number).
A. is correct: √3 and √12 are both irrational, but their product is rational.
Calculating Algebraic expressions and stuff. (See Attachment) Plz explain if you can.
Answer:
no it is not correct
Step-by-step explanation:
it's kind of hard to explain in words so I'm sorry about that
hope it helps
What is 4n-32? Factor your expression using the greatest common factor.
Answer:
4(n-8)
Step-by-step explanation:
take out 4 from 4n-32
so it's 4(n-8) coz 32÷4=8 so yeah
Use the graph to write a linear function that relates y to x.
y=
Answer:
y=4/3x+2
Step-by-step explanation:
How do you solve 5(3x+10) using the rainbow method?
can someone help to fine goths slope, y intercept and equation
Which of the following equation have no solutions?
A. -4x + 5 = -4x - 5.
B. 4x + 5 = -4x + 5
C. 5x + 5 = -4x - 5
D. -4x + 5 = -4x - 4
Answer:
A,
Step-by-step explanation:
Hey There. Your Answers Are A. And D.
Step-by-step explanation:
Please help with math it’s trigonometry and laws of sine I’m being timed
Step-by-step explanation:
x² = 50²+ 55² - 2 • 50 • 55 • cos61°
Parallelogram P Q S R is shown. The length of P Q is (2 x + 5) centimeters and the length of R S is (4 x + 1) centimeters. In parallelogram PQSR, what is PQ? 2 cm 5 cm 6 cm 9 cm
Answer:
9cm
Step-by-step explanation:
Opposite sides of a parallelogram are parallel (congruent). This shows that
PQ = RS
2x+5 = 4x+1
2x-4x = 1-5
-2x = -4
x = -4/-2
x = 2
Get PQ
PQ = 2x+5
PQ = 2(2)+5
PQ = 4+5
PQ = 9cm
Answer:
9cm
Step-by-step explanation:
I just took the review and I got a 100%
make t the subject of the formula. s= 8t +5
Answer:
So I am assuming that you are wanting what a single t is. Well, here you go.
t=(s-5)/8
Step-by-step explanation:
8t=s-5
t=(s-5)/8
Hope this helps! ;)
Please solve as soon as possible
Answer:
.75
Step-by-step explanation:
Because three divided by four is .75
Answer:
Question 22: 0.75 or 75%
Question 23: 5:2
Step-by-step explanation:
Question 22: 3 divided by 4 equals 0.75
Question 23:
2.5 = 2.5/1
2.5 × 10/10 equals 25/10
25/10 divided by 5 equals 5/2
5/2= 5:2
A car can drive 560 miles on 10 gallons of gas. How many gallons of gas does the car need to drive 1,260 miles?
Answer: You could drive 1120 miles with 40 gallons of gas. The car's gas mileage is 28 miles on a gallon of gas.
PLEASE HELP ME, JUST WITH THE SECOND ONE MATHH DECIMALSS QUICKKK PLSSS
hope it's helpful ❤❤❤
THANK YOU.
Answer:
4.35
Step-by-step explanation:
If the divisor have decimal places, multiply by 10, 100 ....
As denominator has one decimal place multiply denominator & numerator by 10
[tex]\frac{26.97*10}{6.2*10}= \frac{269.7}{62}[/tex]
= 4.35
What is the probability that a student who plays an instrument is in band
Answer:
20/25
Step-by-step explanation:
Here, we want to calculate the probability that a student who plays an instrument is in band
The number of students who play instruments are;
25
Amongst this,
20 are in a band
So the probability of having a student who plays instrument and is in a band will be;
20/25 = 4/5