Answers
Answer:1)x =-30
2)x=-30
Step-by-step explanation: 1: 2(3x+5)=5(x-4) ( remove the parenthesis)
then 6x+-5x=-20x-10 (collect the like trems calulate) so (-20 and -20 on each side) the x=-20-10.
2: 6x+10=5x-20 (move the like trems) so move the variable to the left hand side and change its sign like this 6x+10-5x=-20
6x-5x=-20-10
x=-20-10 which it ='s x=-30
follow my TT at yvngxmiia
Solving Stepwise:
2(3x+5) = 5(x-4) [ Given ]2(3x)+2(5) = 5(x) -5(4) ---------------6x + 10 = 5x - 20 [ Distributive property ]6x + 10 - 5x = 5x -20 -5x ---------------x + 10 = -20 [ subtraction property of equality ]x + 10 -10 = -20 -10 -------------x = -30 [ subtraction property of equality ]Additional Explanation
Distributive property:
a(b+c) = a(b) + a(c)symmetric property of equality:
both sides can be interchanged, x = y, then y = xsubtraction property of equality:
when same number subtracted from both sides, a - c = b - cclosure property:
addition, subtraction and multiplication of integers, a + b = cdivision property of equality:
when both sides divided by same number, a/c = b/cRelated Questions
15 over r - 1 when r= 5
Answers
15 / 4 = 3.75
CAN SOMEBODY SOLVE THE EQUATION
Answers
25.2 - 5.7 = 19.5
They will spend 19.5 billion dollars
Find the missing side.
Answers
It's 3ft
Step-by-step explanation:
Volume = lxwxh
252 = 7 x 12 x?
= 84 x?
÷84
3. =?
3x12x7=252
Hope this helps!
The length of a rectangle multilayered by 3 is equal to 4 times its width. The perimeter is 8 2/5 feet. Find the length and the width.
Answers
W=1 4/5 feet
L= 2 2/5 feet
Have a great day
The required length of the rectangle is 12/5 feet and the width is 9/5 feet.
What is the equation model?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let's denote the length of the rectangle as L and the width as W.
From the problem statement, we know that:
3L = 4W (equation 1)
We also know that the perimeter P is given by:
P = 2L + 2W = 8 2/5 feet
Multiplying both sides by 5 to get rid of the fraction, we get:
10L + 10W = 42
Dividing by 2, we get:
5L + 5W = 21 (equation 2)
Now we can use equations 1 and 2 to solve for L and W.
First, we can substitute equation 1 into equation 2 to get an equation in terms of W:
5L + 15L/4 = 21
Multiplying both sides by 4, we get:
20L + 15L = 84
35L = 84
L = 84/35 = 12/5 feet
Now we can substitute the value of L into equation 1 to get the value of W:
3L = 4W
3(12/5) = 4W
W = 9/5 feet
Therefore, the length of the rectangle is 12/5 feet and the width is 9/5 feet.
Learn more about models here:
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A bag of marbles contains 7 blue marbles and 13 red marbles. What percent of the marbles are red?
A. 19%
B. 35%
C. 54%
D. 65%
Answers
Answer:
65%
Step-by-step explanation:
We need to divide to solve this :)
13/20 = 0.65
Now we multiply :)
0.65 x 100 = 65%
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
D. 65%
Step-by-step explanation:
the Number of red marbles is 13
The total number of marbles is 13 + 7 = 20
Then
the percentage of red marbles is :
[tex]\frac{13}{20} \times 100[/tex]
[tex]=\frac{13 \times 100}{20}=13 \times 5=65 \%[/tex]
need help with this question
Answers
Because to get that you should use the standard equation for the circle, (x-h)^2+(y-k)^2=r^2
Then, substitute the center (h,k) and radius r
Any doubts
Find the surface area of the Prism, will mark BRAINLIEST if correct
Answers
Answer:
2490
Step-by-step explanation:
Individually find the area of each side of the shape then add all values
Apply the distributive property to factor out the greatest common factor.
{25p + 50q} =
Answers
Answer:
25(p+25q)
Step-by-step explanation:
50 and 25 have 25 in common so you divide that out of the equation
the sum of two numbers is 76. if three times the small number is subtracted from the larger number, the result is 12. find the two numbers
Answers
Answer:
12, 60
Step-by-step explanation:
To solve this question, we can use a system of equations
1) x + y = 76
2) y - 3x = 12
Then, we can use the second equation to isolate y and substitute it into the second equation
y = 3x + 12
x + (3x + 12) = 76
4x + 12 = 76
4x = 64
x = 16, y = 60
Answer:
6
Step-by-step explanation:
based in
Vincent Van Gogh’s most popular painting, The Starry Night was created by Van Gogh at the asylum in Saint-Rémy, where he’d committed himself in 1889. Indeed, The Starry Night seems to reflect his turbulent state of mind at the time, as the night sky comes alive with swirls and orbs of frenetically applied brush marks springing from the yin and yang of his personal demons and awe of nature.
Every day, the Lee Pet Store uses 1/3 of a bag of dog food to feed the dogs. How many days
will 1 1/3 bags of dog food last?
Answers
1/3bag x ? days = 1 1/3 bags
1/3d = 1 1/3 or 4/3
divide each side by 1/3 or multiply each side by its inverse 3/1
1/3 * 3/1 d = 4/3 * 3/1
the 1’s and 3’s cancel each other out on the left and the 3’s cancel each other out on the right.
You are left with d = 4
The food will last 4 days.
A community college is planning to expand its library. Forty students were asked
how many times they visited the library during the previous semester. Their
responses are given below. Construct a frequency distribution, letting each class
have a width of 1.
2 4 5 68
24568
3 4 5 7 8
3 5 5 7 9
4 55 79
COLLE
02
1
22222
1
1 2
n
98666
10
10
U
E
D
C
1
L
5
Number of Visits
0
1.
(0,0)
Answers
Here is the constructed frequency distribution table:
Number of visits Number of students
0 - 1 5
2 - 3 9
4 - 5 11
6 - 7 5
8 - 9 8
10 - 11 2
What is a frequency distrubution?A frequency table is used to arrange a large amount of data using their frequency. The class width is the difference between the upper boundary and the lower boundary.
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Please help again,am very slow of mathematics,
please po!
Answers
Step-by-step explanation:
a) 7/10
b) 9/10
c) 4/10 = 2/5
d) 9/10
e) 2/10 = 1/5
I hope it helped you
A nonstop train travels between Pearl River and Hoboken. On its trip south, traveling at a constant speed, it makes it from Pearl River to Hoboken in 1 hour and 6 minutes. On its return trip north, the train increases its speed by 10 miles per hour, and takes 42 minutes to reach Pearl River from Hoboken.
What was the train's original speed (on its trip south) in miles per hour?
Answers
Based on the information provided about the return trip, the train's speed on its trip south was 6.36 miles per hour.
What is the distance between Pearl River and Hoboken?Distance = speed x timeDistance = 10 miles per hour x 0.7 hours (42 minutes)Distance = 7 milesWhat is the speed on the trip south?Speed = distance / timeSpeed= 7 miles / 1.1 (66 minutes)Speed= 6.36 miles per hourLearn more about speed in: https://brainly.com/question/6280317
1. Use the table to determine
whether 245 pounds,
260 pounds, or 263 pounds
is the most reasonable
estimate for how much more
the ostrich weighs than the flamingo. Explain
HELP
Answers
507/2 and 91/10 convert to like denominators.
2535/10 and 91/10.
Subtract the two weights.
You get 2444/10.
Swing decimal one position on 2444. to get 244.4 lbs.
245 pounds is the answer since it is closest to 244.4.
253 minus 9 is 244 if you ignore fractions. Do it this way since approximation matches the answer.
You can also eliminate the other answers since the difference will be less than the weight of the ostrich.
Please mark as the best!
John and Monica completed the same task on different lines in an assembly plant. When John had completed 7/9 of the task, Monica had only completed 5/9 of the task. How much more of the task has John completed than Monica?
Answers
Answer:
2/9ths
Step-by-step explanation:
7/9 - 5/9 = 2/9
Hope this helps <3
Suppose a normal distribution has 50% of its area falling to the left of x=30, and 25% of its area falling to the right of x=38. The mode of the distribution is located at x= _____
What best completes the sentence?
Enter your answer as a decimal rounded to the nearest tenth, like this: 42.5
Answers
Answer:
mode: x = 30
Step-by-step explanation:
The mode of a normal distribution is the same as its mean and median. All are located such that half the area is below that value, and half is above.
__
If 50% of the area is left of x=30, the mean, median, and mode are all at x=30.
Find x helpppppppppppp
Answers
[tex] |2x - 1| = | - x - 2| [/tex]
Thus ;
[tex]2x - 1 = - x - 2[/tex]
Add both sides x
[tex]2x + x - 1 = - x + x - 2[/tex]
[tex]3x - 1 = - 2[/tex]
Add both sides 1
[tex]3x - 1 + 1 = - 2 + 1[/tex]
[tex]3x = - 1[/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{ - 1}{3} \\ [/tex]
[tex]x = - \frac{1}{3} \\ [/tex]
Or[tex]2x - 1 = - ( - x - 2)[/tex]
[tex]2x - 1 = x + 2[/tex]
Subtract both sides x
[tex]2x - x - 1 = x - x + 2[/tex]
[tex]x - 1 = 2[/tex]
Add both sides 1
[tex]x - 1 + 1 = 2 + 1[/tex]
[tex]x = 3[/tex]
There u go ...
if h=5 what is 2 x (6-h
Answers
So 2 x (6-5)
Do everything in the brackets:
6 - 5 = 1
Then 2 x 1 = 2
Therefore the answer is 2
Answer:
Step-by-step explanation:
Equation : 2 × (6 - h)
Because h = 5, replace the variable h with 5.
2 × (6 - 5)
Solve the equation in the parentheses.
6 - 5 = 1
The equation is now 2 × 1, which is equal to 2.
So, 2 × (6 - h) is 2.
Hope this helped !
Need help asap! Having trouble !
Answers
In a trapezoid, the segment at the midpoint is the average of the other two bases.
In other words: YZ = (QR + TS) / 2
5x + 1 = ( (2x + 7) + 19 ) / 2
2(5x + 1) = 2x + 26
10x + 2 = 2x + 26
8x = 24
x = 3
YZ = 5x + 1
YZ = 5(3) + 1
YZ = 15 + 1
YZ = 16
Hope this helps!
If the circumstances of the circle below is 72, what is the length of AB (the minor arc)?
Answers
Answer:
12
Step-by-step explanation:
In the given circle circumference of the circle is = 72.
Since circumference of the circle = 2πr
[tex]2\pi r=72[/tex]
[tex]\frac{2*22}{7*r}=72[/tex]
[tex]r=\frac{72*7}{44}=\frac{504}{44}=\frac{252}{22}=\frac{126}{11}=11.45[/tex]
[tex]=\pi r \;theta /180=\frac{22}{7*11.45}*\frac{60}{180}[/tex]
[tex]11.99=12(About)[/tex]
Thus, Answer = 12
~lenvy~
ABC is circumscribed about H, with the points of tangency D,E, and F.
Answers
-3(p-4)=-2p+1 what is p
Answers
Answer: p=11
Step-by-step explanation:
-3(p-4) = -2p+1
-3p+12=-2p+1
+2p +2p
-p+12=1
-12 -12
(-1)-p=-11 (-1)
p = 11
Check answer:
-3(11-4)=-2(11)+1
-3(7)=(-22)+1
-21 = -21
10.If Zoe paints the outside faces of
her shed and tho roof. what is the
total surface area that she paints?
CA
A. 130 p2
B. 155 p2
C. 180 02
D. 205 pp
Answers
Step-by-step explanation:
Area of one side of the shed
5*4=20
she painted 4 sides so 20*4 =80
Triangle that is part of the pyramid as the roof of the shed has a side of 5. Using the Pythagorean theorem,
[tex]{5}^{2} - {2.5}^{2} =18.75[/tex]
we need to find the square root of 18.75 to find the height of the triangle which is
[tex] \sqrt{18.75} = 4.330127019[/tex]
that is the height
(base x height) /2 is the formula for a right triangle. there are 2 of these right triangles per side of the roof. so we need to multiply the numbers by 8
[tex]\frac{2.5 \times 4.330127019}{2} \times 8[/tex]
this number gives us 43.30127019
we can finally add that number to 80 to get the total surface area Zoe painted which is 123.3012702
Simplify the expression. Write the answer using scientific notation.
A)2.52 × 10–3
B)2.52 × 10–2
C)2.52 × 10–1
D)4.3 × 10–2
Answers
Answer:
B.
[tex]2.52 \times 10 ^{ - 2} [/tex]
Solve the system of equations by elimination. Show your work. i’ll give brainliest
Answers
Answer:
x = 5
y = 4
Step-by-step explanation:
multiply the second equation by -1 and add the first equation to eliminate "x"
[tex]4x+6y=44\\-4x-2y=-28[/tex]
_____________
[tex]4y=16[/tex]
[tex]y=16/4 =4[/tex]
Replace "y" in the first equation:
[tex]4x+6(4)=44[/tex]
[tex]4x+24=44[/tex]
[tex]4x=44-24[/tex]
[tex]x=20/4=5[/tex]
Hope this helps
Answer:
x = 5, y = 4.
Step-by-step explanation:
4x + 6y = 44 (A)
4x + 2y = 28 (B)
Subtract equations: (A) - (B).
0 + 4y = 16
y = 16/4
y = 4.
Now plug y = 4 into equation A:
4x + 6(4) = 44
4x = 44 - 24
4x = 20
x = 5.
Now check if these roots are correct by plugging them into equation B:
4x + 2y = 28
4(5) + 2(4) = 28 - check OK.
A rock is dropped from the top of a building and hits the ground at a velocity of
–72ft/sec. If the acceleration due to gravity is – 32ft /sec², what is the height of the
building?
Answers
Answer:
81 [ft].
Step-by-step explanation:
1) the basic formula is: h=gt²/2, where g - acceleration due to gravity, t - elapsed time;
2) if the final velocity is 72, g=32, then it is possible to calculate elapsed time:
[tex]t=\frac{V}{g}=\frac{72}{32}=\frac{9}{4} [sec].[/tex]
3) if g=32, t=9/4, then the required height is:
[tex]h=\frac{32*(\frac{9}{4} )^{2} }{2}=\frac{16*81}{16}=81[ft].[/tex]
The height of the building comes to be 81 feet.
Initial velocity u= 0 feet/sec
Final velocity v= 72 feet/sec
The acceleration due to gravity g =32ft /sec²
Height of the building h= suppose h
What is the equation of motion?The equation of a motion is:
[tex]v^{2} =u^{2} +2gh[/tex]
Where u and v are the initial and final velocities.
[tex]72^{2} =0+2*32*h\\144 = 64h\\h=81[/tex]
So, the height of the building = 81 feet.
Therefore, the height of the building comes to be 81 feet.
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A patient is ordered 2 2/3 ounces of oral medication per dose today. How many ounces of this oral medication should the patient receive per day?
Answers
Answer:
Varies - possibly not enough information
Step-by-step explanation:
How many doses per day?
Do you only need to know the amount of oz. for "today"?
Does this need to be expressed in decimal form?
If the patient is ordered to take 2- 2/3 oz. per day, you have your answer.
Decimal form: 2-2/3 = 8/3 = 2.667 oz.
simplify 2/5+2/5-7/15
Answers
Answer:
1/3
Step-by-step explanation:
2/5+2/5-7/15
=2+2/5 -7/15
=4/5-7/15
=4×3-7/15
=12-7/15
=5/15
=1/3 Ans.
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{2}{5} +\frac{2}{5} -\frac{7}{15}[/tex]
[tex]=\frac{4}{5} -\frac{7}{15}[/tex]
[tex]=\frac{(4)(15)-(5)(7)}{(5)(15)}=\frac{60-35}{75} =\frac{25}{75}[/tex]
Simplified:
[tex]=\frac{1}{3}[/tex]
Hope this helps
A map of utah has scale 1cm :30 mi the southern border is about 285 mi long how long is the border on the map
Answers
Answer:
9 1/2 inches
Step-by-step explanation:
The scale of a map is the ratio of map distance to represented distance. This can be used to write a proportion.
__
map distance/represented distance = 1 in/(30 mi) = x/(285 mi)
where x represents the map length of the southern border.
Multiplying by 285 mi, we have ...
x = (285 mi)(1 in)/(30 mi) = 9.5 in
The border is 9.5 inches on the map.
The diameter of a circle is 33 cm. Find its area to the nearest whole number.
Answers
Answer:
⇒855cm²
Step-by-step explanation:
→Solution,
Diameter(d)=33cm
Radius(r)=d/2=33cm/2=16.5cm
Now,
Area=πr²
Area=3.14×(16.5cm)²
Area=854.865cm²=855cm²
