Answer:
[tex]x=-\dfrac{251}{79}[/tex]
Step-by-step explanation:
[tex]-79(x+3)=14[/tex]
To isolate x, we must perform inverse operations on both sides of the equal sign to cancel values out.
First, divide both sides by -79 to get rid of it on the left side of the equation:
[tex]\dfrac{-79(x+3)}{-79}=\dfrac{14}{-79}[/tex]
[tex]x+3=-\dfrac{14}{79}[/tex]
Now, subtract 3 from both sides to isolate x:
[tex]x+3-3=-\dfrac{14}{79}-3[/tex]
[tex]x=-\dfrac{14}{79}-3[/tex]
[tex]x=-\dfrac{251}{79}[/tex]
Hey there!
-79(x + 3) = 14
DISTRIBUTE -79 WITHIN the PARENTHESES
-79(x) - 79(3) = 14
-79x - 273 = 14
ADD 273 to BOTH SIDES
-79x - 273 + 273 = 14 + 273
CANCEL out: -273 + 273 because it gives you 0
KEEP: 14 + 273 because it help solve for the x-value
NEW EQUATION: -79x = 14 + 273
SIMPLIFY IT!
-79x = 251
DIVIDE -79 to BOTH SIDES
-79x/-79 = 251/-79
CANCEL out: -79/-79 because it give you 1
KEEP: 251/-79 because it give you the x-value
NEW EQUATION: x = 251/-79
SIMPLIFY IT!
x = - 3 14/76 or x = - 251/79
Therefore, your answer is:
x = - 3 14/76 or x = - 251/79
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Can you please answer this ASAP A and B
Answer:
A.
a. Perpendicular
b. Intersecting
c. Parallel
B.
Complementary Angles: add up to 90 Degree = Angle GSN and angle NSA Supplementary Angles: Add up to 180 Degree = Angle LSG and angle GSALinear Pair: Adjacent Angle that add up to 180 = Angle LSG and angle GSAC.
*Needs To Be drawn
Step-by-step explanation:
Hope This Helps!!!
If the frequency of p = 0. 8, what is the frequency of the heterozygous genotype? 0. 16 0. 32 1. 6 3. 2.
Answer:
pls give me points
Which is the best option?
PLEASE HELPP ** attachmeents provided
Answer:
the answer is A
Step-by-step explanation:
hope it helps ♡
Solve for x. (hint- The answer is negative!)
Answer:
-4
Step-by-step explanation:
1st Step:
Set up our equation, so we get x + 69 + 25 + 90 = 180
Remember: All sides of a triangle add to 180.
2nd Step:
Now that we've got our equation: x + 184 = 180. Subtracting 184 from 180 gives us -4, which is our answer.
Key Points To Remember:
- The angles of a triangle always add up to 180.
- The little square at the bottom of the triangle means the angle is 90.
anyone know how to do this ????
Ok so you need to look at the coordinate points of the shape and it'll be like this (x,y). 5 units left means you need to subtract 5 from all the x values and 1 unit up means you need to add 1 unit to all the y values. Once you do that, you'll have a new set of coordinate points that you need to graph.
Consider parallelogram ABCD with diagonal BD. What values of x and y prove that the parallelogram is a square if CD=20, AD=8x−4, and ∠CBD=4y−3?
a. X = 2, y = 12
b. X = 2, y = 23. 5
c. X = 3, y = 12
d. X = 3, y = 23. 5
Answer: C
Step-by-step explanation:
For the parallelogram to be a square, all sides must have equal measure and all angles must be right.
This means that CD=AD -> 20=8x-4 -> 24=8x -> x=3
And 4y-3=45 -> 4y=48 -> y=12
Marissa recently started working part time for a store that pays her $10. 80 per hour. She is expected to work a total of 19 hours per week. She will have the following deductions made from her gross pay for the week: Social Security (6. 2%) Medicare (1. 2%) State Income Tax (2. 5%) Federal Income Tax (12%) How much will her net paycheck be for the week?.
If Marissa get $10. 80 per hour. and She work a total of 19 hours per week. and if She will have the following deductions made from her gross pay for the week: Social Security (6. 2%) Medicare (1. 2%) State Income Tax (2. 5%) Federal Income Tax (12%) then her net pay-check be for the week is $160.26
What is percentage ?
Percentage is a number or ratio expressed as a fraction of 100.
Given that per hour salary is $10.80
and she works 19 hours a week
so per week salary =[tex]19\times10.80=205.2\\[/tex]
Now she have following deduction
Social Security (6.2%)
Medicare (1. 2%)
State Income Tax (2. 5%)
Federal Income Tax (12%)
So total deduction = 6.2+1.2+2.5+12=21.9%
Remaining after deduction =100-21.9=78.1%
So her net pay-check for the week can be calculated as
[tex]\frac{78.1}{100} \times205.2\\\\\\=160.26[/tex]
If Marissa get $10. 80 per hour. and She work a total of 19 hours per week. and if She will have the following deductions made from her gross pay for the week: Social Security (6. 2%) Medicare (1. 2%) State Income Tax (2. 5%) Federal Income Tax (12%) then her net pay-check be for the week is $160.26
To learn more about Percentage visit : https://brainly.com/question/24304697
Find the value of x.
.....
Step-by-step explanation:
hope you like answer
Find the area of each circle to the nearest tenth. use 3.14
Answer:
530in^2
Step-by-step explanation:
Given the m∠5 = 45°, find the measure of ∠8.
Two lines intersect each other forming angles 5, 6, 7, and 8 labeled clockwise. The measure of angle 5 is 45 degrees.
Question 1 options:
35°
45°
135°
145°
Comment after u have seen my answer
You want to buy a house for $243,500. You can get a loan for 90% of value. You will also have to pay 2. 75 points on the loan. How much will you have to deliver to closing to cover both the down payment and the loan points?
You will have to deliver $30,376.63 to closing to cover both the down payment and the loan points.
Amount determinationGiven that you want to buy a house for $243,500, and you can get a loan for 90% of value, and you will also have to pay 2.75 points on the loan, to determine how much will you have to deliver to closing to cover both the down payment and the loan points, the following calculation must be made:
243,500 x 0.9 x 0.0275 + 243,500 x 0.1 = X6,026.63 + 24,350 = X30,376.63 = XTherefore, you will have to deliver $30,376.63 to closing to cover both the down payment and the loan points.
Learn more about amount calculation in https://brainly.com/question/27108313
What is the least number of full cylindrical containers needed to completely fill the fish tank?
(look at picture)
Answer:
31 cylinders
Step-by-step explanation:
Hello!
Step 1Let's first find how much water is held by the cylinder. To find this, we must find the volume (amount of space it takes up) of the cylinder
[tex]V = \pi r^ * h\\\\V = \pi (6/2)^2*8\\\\V = \pi* 3^2*8\\\\V = \pi* 9*8\\\\V = 72\pi[/tex]
Step 2Now let's find the volume of the rectangular prism.
[tex]V = 24*24*12\\\\\\V = 6912[/tex]
Step 3Now, let's divide the Volume of the fish tank by the cylinder:
[tex]6912 / 72\pi\\\\\\\text{Approx } 30.58\\ = \text{Approx 31 cylinders}[/tex]
Because we can't use half full cylinder, we round up to the nearest whole number: 31
Answer:
31 cylinder containers are needed to completely fill the fish tank.
Step-by-step explanation:
The stuffs required to solve this question:
Volume of cylinder = πr²hVolume of rectangular prism = lbhWhere r is radius, h is height, l is length and b is breadth. So, now just use these formulae and solve the question.
A cylinder container is given whose height is 8 inches and diameter is 6 inches. We are aware about the fact that radius is half of diameter. So, the radius of the cylindrical container is 3 inches.
Volume of cylindrical container = π × (3)² × (8)
Volume = 72π or 226 (approx.)
Similarly, a rectangular prism is provided whose length, breadth and height is 24, 24 and 12 inches respectively.
Volume of rectangular prism = 24 × 24 × 12
Volume = 6912
'n' is the number of cylindrical containers required to fill the fish tank. So,
→ n = Volume of rectangular prism/Volume of cylindrical container
→ n = 6912/226 = 30.58
→ n = 31 (approx.)
pls help asap tysm 3
Answer:
I'm pretty sure the answer is 0.45. I got this by dividing 1.35 by 3 which gave me 0.45. And to check it, I multiplied 0.45 by 3, snice the formula for area is multiplying.
A car and a motorcycle left a gas station at the same time. They each travelled
in the same direction for one and one-quarter hours. At that time, the car had
travelled 20 km farther than the motorcycle. If the average speed of the car was
80 km/h, determine the average speed of the motorcycle.
Using proportions, it is found that the average speed of the motorcycle is of 64 km/h.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, in one and one-quarter hours, that is, [tex]\frac{1} + \frac{1}{4} = 1.25[/tex] hours, the car traveled 20 km farther, hence the number of km/h by which the car is faster is given by:
f = 20/1.25 = 16 km/h.
The car's velocity was of 80 km/h, hence the average speed of the motorcycle is given by:
m = 80 km/h - 16 km/h = 64 km/h.
More can be learned about proportions at https://brainly.com/question/24372153
urgent helppppppppppppppppppppppppppppppppppp
Answer:
48m
Step-by-step explanation:
The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the sides. x is in this case the length while y is the width.
bar chart the table shows information about items sold in a school library Items sold pencil rubber ruler
Answer:
Not enough Info
Step-by-step explanation:
Can you provide an image of the bar chart?
Factor completely 3x2 − x 5. Prime (3x 1)(x − 5) (3x − 1)(x 5) (x 1)(3x − 5).
Factorization is writing the expression in terms of multiplication of its factors. The given expression is prime(option A), thus, no factors.
What are prime polynomials?Those polynomials with integer coefficients that cannot be factored further, with factors of lower degree and integer coefficients are called prime polynomial.
(it is necessary that no factors exists having their coefficients are still integers and they're of lower degree)
How to find the solution to a standard quadratic equation?Suppose the given quadratic equation is
[tex]ax^2 + bx + c = 0[/tex]
Then its solutions are given as
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Finding the roots of [tex]3x^2 - x + 5 =0[/tex], we get:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} = \dfrac{1 \pm \sqrt{(-1)^2 - 4\times 5 \times 3}}{2 \times 3} = \dfrac{1 \pm \sqrt{1-60}}{6}[/tex]
Its square root is not real(if not using complex numbers, then its solution doesn't exist, making the roots non-real, and thus, polynomial not being able to get factorized. )
Learn more about prime polynomials here:
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16, -3.2, 0.64, …; 7th term
Answer:
.001024
Step-by-step explanation:
16÷-5= -3.2
we keep dividing the numbers by -5
7th term is 0.001024
4) For a long-distance race, it took 2.25 hours for the first runner to cross the finish line. It took 3 times as long for the last runner to cross the finish line. How long did it take the last runner to cross the finish line? A) 5.25 hours B) 3 hours C) 2.25 hours D) 6.75 hours
Answer:
c
Step-by-step explanation:
I'm not sure but ya that's the whole answer
Answer:
D) 6.75
Step-by-step explanation:
I multiplied 2.25 by 3 to get 6.75.
Have a good day!
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What is the sum of the interior angles of the polygon pictured below?
Answer:
200
Step-by-step explanation:
i got it right just took it
Given
What is the rational exponent form of this expression?
Answer:
4th option is correct :) trust me
4/5 to 3/5 percent of decrease
Each of the 6 cats in a pet store was weighed. Here are their weights (in pounds): 15,8,14,16,14,9. Find the mean and median weights of these cats. If necessary, round your answers to the nearest tenth.
Step-by-step explanation:
for mean w. you have to add up all the values (cat weights) and divide them by the number of cats
and for median w. you need to compare the values from the smallest to the largest and cross out the numbers from the ends. Since there are 6 cats here (odd number) you will have 2 values left. Add them up and divide them by 2 (since there are 2)
WILL GIVE BRAINLIEST!!!!
a cylinder has a volume of 157 cubic cm.
find the radius of the cylinder if the height is 2cm. show work
Answer:
4.99873244
Step-by-step explanation:
157/2=78.5
78.5/pi=24.98732607
square root the answer above and you get the radius which is 4.99873244
Which of the following angle measures represents an acute angle?
15
163
90
180
Answer:
15
Step-by-step explanation:
acute is an angle smaller than 90 degrees
[tex] \huge{ \rm{Question:}}[/tex]
Which of the following angle measures represents an acute angle?
15
163
90
180
[tex] \huge{ \rm{Answer:}}[/tex]
15Step-by-step explanation:
acute angles measures less than 90 degrees
HOPE THIS HELPS^^
What is 9/16 x 2/3 (show ur work thanks)
Answer:
Hey there!!
[tex] \displaystyle{ \frac{9}{16} \times \frac{2}{3} }[/tex]
[tex]\displaystyle{ \frac{ \cancel9 {}^{3} }{ \cancel{16 {}^{8} }} \times \frac{ \cancel2}{ \cancel3} }[/tex]
[tex]\displaystyle{ \frac{3}{8} }[/tex]
solve this question ???
Answer:
n>0.543126
Step-by-step explanation:
solve; (6 2/5+1 4/5)+3 1/5 give a whole number and fraction answer
Answer:
11.4 and 11 2/5
Step-by-step explanation:
hope this helps if it does, can i have brainliest?
Answer:
11 as a whole number or 11.4 and 11 2/5 as a fraction
A chord of length 4.2cm is 2.8cm from the center of a circle. Calculate the length of the radius of the circle.
Answer:
3.5 cm
Step-by-step explanation:
Radius of circle = √(Distance from chord)² + (Half chord length)²
= √(2.8)² + (2.1)²
= √7.84 + 4.41
= √12.25
= 3.5 cm