Answer:
x = -17
Step-by-step explanation:
y - y1 = m(x - x1)
y - 3 = 1/5(x - (-2))
y - 3 = 1/5(x + 2)
y - 3 = 1/5x + 0.4
y = 1/5x + 0.4 + 3
y = 1/5x + 3.4
Now we plug in y as 0 to find x
y = 1/5x + 3.4
(0) = 1/5x + 3.4
-3.4 = 1/5x + 3.4 - 3.4
-3.4 = 1/5x times 5
-3.4 times 5 = x
-17 = x
Answer:
x = -17 (Verified Answer) ✅Step-by-step explanation:
If we know the slope, we can solve for an unknown coordinate. First, let's review how to calculate slope.
Slope = Rise/Run (Change in y/Change in x)
In this case, we know the slope, so we will write out the slope formula. We will use the substitution method to solve this.
m = rise/run
rise = y2- y1 substituting ----> 3 - 0 = 3
run = x2 - x1 substituting ----> -2 - x = run
Now, we can return to the slope formula, as we now have enough information to solve.
1/5 = 3/R
To solve, we simply need to find the equivalent fraction of 1/5. We will use a proportion.
1R = 5 x 3
R = 15
Now that we know R, we can substitute it into the equation for run.
So, we now have:
15 = -2 - x
Subtracting -2 from both sides, gives us x = -17.
Finally, we must check our answer to make sure we are getting the correct slope when we calculate.
m = (3 - 0)/(-2 - -17)
m = 3/15 OR 1/5
Since. this matches the original slope we were given, we can be sure the answer is correct.
A company manufactures fuel tanks for cars. The total weekly cost (in dollars) of producing x fuel tanks is given by ... C(x) = 10000 +90x - 0.08x2 Find the exact cost of producing the 501st item.
Answer:
cost of producing the 501st item = $9.92
Step-by-step explanation:
The function representing the cost is given by;
C(x) = 10000 + 90x - 0.08x²
To get the cost of producing the 501st item, we have to first find the cost of producing 500 items and then do the same for 501 items then subtract the values gotten.
Thus;
C(500) = 10000 + 90(500) - 0.08(500)²
C(500) = 10000 + 45000 - 20000
C(500) = $35000
Similarly;
C(501) = 10000 + 90(501) - 0.08(501)²
C(501) = 10000 + 45090 - 20080.08
C(501) = $35009.92
cost of producing the 501st item = C(501) - C(500) = 35009.92 - 35000 = $9.92
Cara's new car holds 13.5 gallons of gas. If gas costs $2.98 per gallon, how much would it
cost her to fill the gas tank from empty?
Submit
O
Lenovo
Answer:
$40.23
Step-by-step explanation:
Answer:
40.23
Step-by-step explanation:
easy just do 13.5*2.98
Evaluate the expression.
1.2 exponent 2
answer choices =
1.44
14.4
1.728
1.5
Answer:
1.44
Step-by-step explanation:
Answer:
the answer is 1.44
Step-by-step explanation:
Because the exponent of a number says how many times to use the number in a multiplication. In 1.2 exponent 2 the "2" says to use 1.2 twice in a multiplication, so 1.2'2 = 1.2 × 1.2 = 1.44 In words: 1.2'2 could be called "1.2 to the power 2" or "1.2 to the second power.
Your welcome
Helpoooooooooooooooooooo
Answer:
1. x >/= -1
2. x < 4
3. x </= -1
4. x >/= -2
5. x < -3
6. x </= 7
Step-by-step explanation:
How many numbers can be squared to get a value of 0?
Answer:
1
Step-by-step explanation:
0^2 equals 0 but 1 and -1 the numbers closest equal 1 so only one number can be squared to get 0
6 friends all use $2 off coupons to buy themselves movie tickets. They spend a total of $42 Write the equation
Answer:
(C / n) + 2
Step-by-step explanation:
Amount spent (C) = 42
Number of friends (n) = 6
Coupon on ticket = $2
Original price of ticket will be :
Cost per coupon ticket = (Total amount spent / number of friends)
(Total amount spent / number of friends) + coupon on ticket
= (C / n) + 2
= (42 /6) + 2
= 7 + 2
= 9
What proportion results in the equation 9m=10n?
Answer:
the 2 nd one 9/m=10/n
Step-by-step explanation:
I NEED HELP WITH THIS PICTURE IS PROVIDED
A birdbath is filled to the top. On Day 1, the volume of water in the bowl decreases by 7/8 cup. On Day 2, the volume in the bowl decreases by 3/4 cup. What number represents the total change in the volume of water in the bowl after two days? Write your answer as a mixed number.
Answer:
-1 5/8
Step-by-step explanation:
Let the total amount in the bowl be x;
If on Day 1, the volume of water in the bowl decreases by 7/8 cup, the remaining water will be;
x - 7/8
If on day 2, the volume in the bowl decreases by 3/4 cup, the remaining volume of water after the second day will be;
= x - 7/8 - 3/4
= x - (7-2(3))/8
= x - (7+6)/8
= x - 13/8
This shows that the total change after the two days is -13/8
As a mixed fraction;
-13/8 = -1 5/8
a window washer clean 38 windows in 2 hours at this rate how many windows did he clean in 7 hours?
Answer:
133 windows
Step-by-step explanation:
Clayton opens a savings account with 11 dollars he got from his grandmother
Answer:
The answer is "$3640.58"
Step-by-step explanation:
This question is incomplete, that's why we add another question in the attached file. Please find it.
P = [tex]\$ \ 1300[/tex] and effective per year is = interest rate per year = 7.2
Total [tex]\$ \ 1300[/tex] due after 8 years is P+PRT:
[tex]\to 1300(1+0.072 \times 8)\\\\\to 1300(1+ 0.576)\\\\\to 1300(1.576)\\\\\to \$ \ 2048.8[/tex]
[tex]\to Total \ X = \$ \ (7000-2048.8) \\\\[/tex]
[tex]= \$ \ 4951.2 \\\\= X(1 +0.072 \times 5)\\\\=1.36 X \\\\[/tex]
The number of dollars is X [tex]= \frac{4951.2}{1.36} = \$ \ 3640.58[/tex]
there are 18 people at the party. some are boys and some are girls. the number of boys is the same as the number of girls
Answer:
9 boys 9 girls
Step-by-step explanation:
18 = 2x
9
2.5 divided by 1.5 round to nearest tenth
Answer:
1.7
Step-by-step explanation:
2.5÷1.5
5/3
1.66666
1.7
The divisions of 2.5 divided by 1.5 gives to 5/3 or 1.6667.
What is Division?One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.
Given:
2.5 divided by 1.5
So, 2.5 / 1.5
= 25 x 10 / 15 x 10
= 25/15
= 5 x 5 / 5 x 3
= 5/3
Hence, the divisions results to 5/3 or 1.6667
Learn more about Division here:
https://brainly.com/question/21416852
#SPJ2
Please help it would help a lot
Answer:
1/2
Step-by-step explanation:
Answer:
y÷x 1÷2=1/2 This is the answer.
FInd the circumference of a circle with a diameter of 6 yd. Use the value 3.14 for x and do not round your answers
Answer:
C ≈ 18.85yd
Step-by-step explanation:
find the value of x and the measure of MNW
Answer:
VALUE OF X:
3x-13+61 = 90
3x+48 = 90
3x = 42
x = 14
MEASURE OF <MNQ:
3x-13
= 3(14)-13
= 42-13
= 29
Pam drivers 14,735 miles in one year. The next year she drivers 13,869 miles. How many miles did she Drive in all?
Answer:28604 in total
Step-by-step explanation:
just copy and paste hope this helps
Answer:
28604 miles
Step-by-step explanation:
Just add the two numbers to get the total number of miles:
14735
+ 13869=
28604
7x – X – 1=4-7x + 21
Answer:
X=2
Step-by-step explanation:
A Fahrenheit thermometer shows that the temperature is 13 degrees below zero. Enter the integer that represents the temperature in degrees Fahrenheit
Answer:
-13??? weird question... do you mean celcius themometer?
Step-by-step explanation:
Answer:
The integer that represents 13 degrees below 0 is -13°F.
Step-by-step explanation:
This is because the phrase "13 degrees below 0" is obviously not an integer meaning that the corresponding integer to this phrase would be -13.
P.S.
This question was asked by somebody else and I answered already so I am not copying the answer!
Hope this helps! :)
PEOPLE SHOW ANSWERS PLEASE AND WILL GIVE BRAINLIEST 8. The ratio of cats to dogs at a pet show
is 1:3.
a) What percent of the pets at the
show are cats?
Answer:
33.33%
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
so we add 1 and 3 together becuase since there are equal parts, we need to add to get the whole. so since the ration is 1:3, there are 1/4x cats thereate the show
18% of the cars in the parking lot are blue.If there are 150 cars in the parking lot,how many cars are blue
Answer:
Step-by-step explanation:
14
there is a ratio of 7 boys to every 4 girls. If there are 64
s, how many boys are in the school?
Answer:
112
the answer is 112 :)))))
Factorise fully the following 2x+8
The sum of three consecutive odd integers is 153. Find the three odd integers.
First integer =
Second integer =
Third integer =
PLEASE HELPPPP!!
Answer:
49, 51, 53
Step-by-step explanation:
Let the first odd integer be n.
Then the consecutive odd integer will be (n+2).
This will be followed by (n+4).
We know that the sum of these three is 153. In other words:
[tex]n+(n+2)+(n+4)=153[/tex]
Solve for n. Combine like terms:
[tex]3n+6=153[/tex]
Subtract 6 from both sides:
[tex]3n=147[/tex]
Divide both sides by 3:
[tex]n=49[/tex]
Therefore, our first odd number is 49.
So, our consecutive numbers must be 51 and 53.
Hence, our sequence is:
49, 51, 53
Notes:
If we get an even number for n or a non-integer value, then there are no three consecutive odd integers that sum to 153.
Answer:
49, 51, 53
Step-by-step explanation:
All odd numbers:
49 + 51 = 100
100 + 53 = 153
1. An integer is 3 less than 5 times another. If the product of the two integers is 36, then find the integers.
Answer:
3 and 12
Step-by-step explanation:
3*5=15 and 15-3=12. The product of 3 and 12 is 36.
The integers are 3 and 12.
What is Algebra?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
let the one integer be x.
Another integer = 5x - 3
According to question,
x *(5x-3 ) =36
5x ² -3 x =36
5x² -3 x - 36 = 0
5x² -15 x +12 x - 36 =0
5x( x-3) + 12 ( x -3) =0
(5x +12)( x- 3)=0
x= -12/5 or 3
So, the integers are 3 and 12.
Learn more about this concept here:
https://brainly.com/question/17023448
#SPJ2
X^2 + 10x = 0
How do I solve for a completed square ?
Answer:
12x=0
Step-by-step explanation:
x=0 because it is
Answer:
x = 0 x = -10
Step-by-step explanation:
First, use the AC method to figure out, what times what equals 0 and what adds up to equal 10, which would be 0 and 10.
Secondly, you would factor it out and be with
(x + 0)(x +10)=0
Third, you would set each one equal to 0
x + 10 = 0 x + 0 = 0
Solve from there to get your two x's
x = 0 and x = -10
Evaluate this expression.
112.212 - (- 3.25)
Answer:
115.462
Step-by-step explanation:
Answer: 115.462
Step-by-step explanation:
To start, the first thing we can observe is two negative signs, which we know turns into a positive sign.
Therefore, we now have:
112.212 + 3.25
115.462
Hope this helps!
write 6.085 in word form
Factorise fully 2x+8
Answer:
2(x+4)
Step-by-step explanation:
To factor you have to divide both terms by the greatest common factor, which in this case is 2. Using distribution you can check your answer.
Answer: 2(x + 4)
Explanation: If you're asked to factor a polynomial,
the first thing you want to look for is the greatest common factor
for the terms that are involved.
The greatest common factor of 2x and 8 is 2.
So a 2 can factor out.
Inside the parenthses, we have each term divided by
the 2 that factored out of the polynomial.
So we have 2(x + 4).
A total of $5000 is invested: part at 5% and the remainder at 15%. How much is invested at each rate if the annual interest is $720?
Answer:
At 5% , $300 was invested
At 15%, $4,700 was invested
Step-by-step explanation:
Let the amount invested at 5% be $x and the amount invested at 15% be $y
x + y = 5000 ••••••(i)
Let’s work with the interest;
5% of x + 15% of y = 720
0.05x + 0.15y = 720 •••••(ii)
From i;
x = 5000-y
Insert this into ii
0.05(5000-y) + 0.15y = 720
= 250 - 0.05y + 0.15y = 720
250 + 0.1y = 720
0.1y = 720-250
0.1y = 470
y = 470/0.1
y = $4700
x = 5000-y
x = 5000-4700 = $300