[tex]\huge\text{Hey there!}[/tex]
[tex]\textsf{4(x - 6) + 10 = 6}[/tex]
[tex]\textsf{Distribute}[/tex]
[tex]\textsf{4(x) + 4(-6) + 10 = 6}[/tex]
[tex]\textsf{4x - 24 + 10 = 6}[/tex]
[tex]\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\textsf{(4x) + (-24 + 10) = 6}[/tex]
[tex]\textsf{-24 + 10 = -14}[/tex]
[tex]\textsf{4x - 14 = 6}[/tex]
[tex]\textsf{ADD 14 from BOTH SIDES}[/tex]
[tex]\textsf{4x - 14 + 14 = 6 + 14}[/tex]
[tex]\textsf{CANCEL out: -14 + 14 because that gives you 0}[/tex]
[tex]\textsf{KEEP: 6 + 14 because that helps us solve for x}[/tex]
[tex]\underline{\textsf{6 + 14 = 20}}[/tex]
[tex]\textsf{New equation: 4x = 20}[/tex]
[tex]\textsf{DIVIDE 4 from BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{4x}{4}=\dfrac{20}{4}}[/tex]
[tex]\textsf{CANCEL out}[/tex]: [tex]\mathsf{\dfrac{4}{4}}[/tex] [tex]\textsf{because that gives you 1}[/tex]
[tex]\textsf{KEEP}[/tex]: [tex]\mathsf{\dfrac{20}{4}}[/tex] [tex]\textsf{because that solves and gives you x}[/tex]
[tex]\mathsf{TEMPORARY\ EQUATION: x = \dfrac{20}{4}}[/tex]
[tex]\mathsf{\dfrac{20}{5}=5}\\\\\\\mathsf{20\div4 = 5}\\\\\\\textsf{\bf x = 5}\large\checkmark[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \underline{\bf x = 5}}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
How many ounces in 5 gallons?
O A. 128 ounces
O B. 320 ounces
O C. 640 ounces
O D. 1280 ounces
please hhelp I'll be posting a lot of questions ;-;
Need help!!!! PLZ I don't know
Answer:
Step-by-step explanation:
First factor the polynomials and reduce the fractions.
x^2-4x+3=0 write it in standard form.
solve by completing the square.
solve by quadratic formula
Answer:
x
=
2
±
√
7
Explanation:
there are no whole numbers which multiply to - 3
and sum to - 4
we can solve using the method of
completing the square
the coefficient of the
x
2
term is 1
∙
add subtract
(
1
2
coefficient of the x-term
) 2 to x2 − 4 x ⇒ x 2 +2(− 2 ) x + 4 − 4 − 3 = 0 ⇒ ( x − 2 )2 − 7 =0 ⇒ ( x − 2 ) 2 = 7
take the square root of both sides
⇒ x − 2 = ± √ 7 ←
note plus or minus
⇒ x = 2 ± √ 7←
exact solutions
Step-by-step explanation:
x²-4x+3=0
x²-4x=-3
take half of -4 square it and add it to both side
x²-4x+(-2)²=4-3
(x-2)²=1
x-2=±1
x=2±1
x=1,3
Can someone help me? The first person to get it correct gets brainliest.
The total cost of making a daily taco special for a restaurant is represented by the function C(t) = 2.5t +1, where t is the number of tacos made. How does the total cost change for every taco special the food truck makes?
Answer:
Es el conch pura thes con
What is the slope of a trend line that passes through the points (1, 3) and (10, 25)?
O -15/2
O -1/2
O 22/9
O 24/7
The points (-1,r) and (11, -1) lie on a line with slope 3/4
Find the missing coordinate r.
Answer:
The value of the missing coordinate 'r' is -10
Step-by-step explanation:
The two points have the following given parameters;
The point coordinates = (4, -17) and (8, r)
The line on which the two points rests has a slope of, m = 3/4
To find the value of 'r', we use the slope formula as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Plugging in the values gives;
[tex]m = \dfrac{3}{4} = \dfrac{-1-r}{11-(-1)} =\dfrac{-1-r}{11 + 1} = \dfrac{-1 - r}{12}[/tex]
[tex]\dfrac{3}{4} =\dfrac{-1 - r}{12}[/tex]
∴ 3 × 12 = 4 × (-1 - r)
36 = -4 - 4·r
36 + 4 = -4·r
r = 40/(-4) = -10
r = -10
Can someone help me ASAP? Right answer gets brainliest!
Answer:
multiply the area of that triangle by 2
Step-by-step explanation:
What is the value of the expression 20 ÷ 4 + (6 x 2) − 2?
15
17
22
28
The sum of the first n terms of a sequence is given by Sn = 3m+1 - 6
3.1.
Determine the sum of the first 12 terms.
Answer:
i need points sry i needa ask a question
Step-by-step explanation:
2 The length of this rectangle is x cm.
a The width of the rectangle is 2 cm less than the length.
Write down an expression for the width of the rectangle, in centimetres.
b The perimeter of the rectangle is 84 cm. Write down an equation to show this.
c Solve the equation.
d Find the area of the rectangle.
Answer:
a. The width of the rectangle is x-2cm
b. length is 21.5 cm and breadth is 19.5cm
c. area is 419.25 cm sq.
Step-by-step explanation:
Let the length be x and the breadth be x-2
perimeter = 84 = 2(l+b) = 2×(x+x-2)
2×(2x-2)=84
4x-2 = 84
4x = 86
x= 86/4
x= 21.5
length is 21.5 and breadth is 21.5-2 = 19.5
area = l×b
= 21.5 ×19.5
= 419.25cmsq.
hope it helps
) The diagram shows a quadrant of a circle . If the curved edge is 15 cm long, what is the length of a straight edge?
Answer:
9.55 cm
Step-by-step explanation:
A quadrant of a circle is 1/4 of a circle.
Since the curved edge is 15 cm, a full circle would be 60 inches.
60/Pi = diameter
diameter = 60/3.14 = 19.11 cm
diameter/2 = radius
radius = 19.22/2 = 9.55 cm which is the length of a straight edge.
Write a system of linear equations for the problem below(you do not have to solve it) Twenty-six students attended the community service event. The number of girls was 4 fewer than twice the number of boys. How many boys attended the community service event?
Answer:
Number of boys who attended the community service event = 10
Step-by-step explanation:
Let [tex]x[/tex] denotes number of girls and [tex]y[/tex] denotes number of boys.
Twenty-six students attended the community service event.
So,
[tex]x+y=26[/tex]
The number of girls was 4 fewer than twice the number of boys.
[tex]x=2y-4[/tex]
Put [tex]x=2y-4[/tex] in [tex]x+y=26[/tex]
[tex]2y-4+y=26\\3y=26+4\\3y=30\\y=10[/tex]
So,
Number of boys who attended the community service event = 10
Find the value of x and y.
Answer:
x= 73
y= 13
Step-by-step explanation:
The sum of the angles opposite the exterior angle = the exterior angle so
x= 141-68
x= 73
The angle sum of a triangle= 180.
180-68-73= 39
since there are 3 "y"s we need to divide 39 by 3
39/3= 13
PLZZZ HURRYY. i will thank you. Q- Explain the transformations that map the polygon A to polygon B.
question in photo—————————-
Answer:
there is two solutions to that problem. you can find x is equal to two numbers.
find the area of the regular polygon with the given apothem a and side length s. a=28. s=18.2 round to the nearest decimal place as needed
The formula for finding the area of any regular polygon if you know the length of one side and the apothem: A = (n × s × a)2 A = ( n × s × a ) 2 , where n is the number of sides, s is the length of one side, and a is the apothem.
someone please help me
Answer:
can't see the question ⁉️
There are 15 counters. One-third of the counters are yellow. How many
counters are yellow? *
Answer:
3
Step-by-step explanation:
15*1/5= 3
Sorry for asking again.
The options are cut out so it says
2
3
4
5
Answer:
2
Step-by-step explanation:
For A and B, count to the y axis (vertical line)
Elia rode her bicycle from her house to the beach at a constant speed of 18 1818 kilometers per hour, and then rode from the beach to the park at a constant speed of 15 1515 kilometers per hour. The total duration of the rides was 1 11 hour and the distances she rode in each direction are equal. Let b bb be the number of hours it took Elia to ride from her house to the beach, and p pp the number of hours it took her to ride from the beach to the park.
Answer: hello your question is not well written but it seems you are asking for the Total distance covered during the rides hence i will give you a general solution
Total distance travelled during rides = 16.36 km
Total duration of rides = 1 hour
Step-by-step explanation:
Given that :
b = number of hours from house to beach
p = number of hours from beach to park
since the total duration of the rides = 1 hour
hence: b + p = 1 ------ ( 1 )
Also ; speed from house to beach = 18 km/hr
speed from beach to park = 15 km/hr
Given that distance covered in both directions are equal and distance = s * t
Hence distance covered : 18b = 15p ------ ( 2 )
determine the total distance travelled
b + p = 1 ------ ( 1 )
18b = 15 p ----- ( 2 )
from equation 1 : b = 1 - p
18 ( 1 - p ) = 15p
18 = 15p + 18p
p = 18 / 33 = 6/11
back to equation 1
b + 6/11 = 1
hence b = 1 - 6/11 = 5/11
Distance covered in one direction
18 ( 5/11 ) = 15 ( 6/11 )
90 / 11 = 90 /11
hence Total distance covered = ( 90 / 11 ) * 2 = 16.36 km
The scores on a mathematics exam have a mean of 70 and a stadard deviation of 7. Find the x-value that corresponds to the z-score -1.45.
Answer:
59.85
Step-by-step explanation:
The scores on a mathematics exam have a mean of 70 and a stadard deviation of 7. Find the x-value that corresponds to the z-score -1.45.
We solve the above question using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 70
σ is the population standard deviation = 7
z = -1.45
Hence:
-1.45 = x - 70/7
Cross Multiply
-1.45 × 7 = x - 70
-10.15 = x - 70
x = -10.15 + 70
x = 59.85
Marty has a driveway that is 200 feet long. The tires on her car have a diameter of 18 inches. What is the fewest number of tire rotations a tire will make tot travel the entire distance of the driveway?
The the fewest number of tire rotations is 42 to travel the entire distance of the driveway.
It is given that the driveway that is 200 feet long and the tire diameter is 18 inches.
It is required to find the fewest number of tire rotations a tire will make to travel the entire distance of the driveway.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
Driveway length = 200 feet
Diameter of the tire = 10 inches
For converting it to feet divide by 12.
Now the diameter of tire = 18/12 = 1.5 feet
Radius of the tire = 0.75 feet
We know the perimeter of the circle:
[tex]\rm P = 2\pi r[/tex]
P = 2(π)(0.75)
P = 4.71 feet ( π =3.14 and P = 0.75)
[tex]\rm number \ of \ tire \ rotations = \frac{Driveway \ length}{Perimeter \ of tire}[/tex]
[tex]= \frac{200}{4.71}[/tex]
Number of tire rotation = 42.462 ≈ 42
Thus, the the fewest number of tire rotations is 42 to travel the entire distance of the driveway.
Learn more about circle here:
brainly.com/question/11833983
A truck can carry a 3.5 ton load. How many packs of roof shingles weighing 80 lb each can it carry?
Answer:
25
Step-by-step explanation:
it can carry 25 packs of shingles because
1 ton = 2000 ponds
and 80 can go into 2000 25 times
hope this helps!
(2x-5y)^2
Find the square using identity
Class 8
Answer:
=4x^2−20xy+25y^2
Step-by-step explanation:
(2x−5y)^2
=(2x+−5y)(2x+−5y)
=(2x)(2x)+(2x)(−5y)+(−5y)(2x)+(−5y)(−5y)
=4x^2−10xy−10xy+25y^2
=4x^2−20xy+25y^2
Hope it helped!
Answer:
(2x)^2- 2*(2x)*(5y)+(5y)^2= 4x^2-20xy+25y^2
Step-by-step explanation:
Identity- (a-b)^2= a^2-2ab+b^2
Answer this question to get marked as brainliest!!!
Answer:
∠ R = 120°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 angles from 180 , that is
subtract 60 from 180
∠ R = 180° - 60° = 120°
If the cost of petrol is R10,05 per litre, calculate how far the
car will be able to travel if R150,00 worth of petrol is filled in the car.
Answer:
I dont know lol...........
∠3 and ∠6 are _______ angles
Alternate interior angles are congruent. so ∠3 = ∠6 -------> by alternate interior angles.
________________
Hope this makes sense!
-Lexi
Please simplify the expression to standard form:
−1/2(8x −4) + (−5 + 3x)
Help!!
Find the volume. Around to the nearest Hundredth.
1326cm
1026.04mi
1526.82mi
6104.16mi
Answer:
V=1526.82 mi³
Step-by-step explanation:
The formula for the volume of a right circular cone is V=πr²(h/3).
The radius is half of the diameter of 18, so it is 9 mi.
The height is 18 mi.
Plug in your numbers into the formula.
V=π9²(18/3)
V=π81(6)
V=π486
V=1526.82 mi³