Answer:
The expression is: [tex]-30n + 70 = -80[/tex]
Step-by-step explanation:
Given
[tex]n = 5[/tex]
Multiply both sides by 3
[tex]3 * n = 5 * 3[/tex]
[tex]3n = 15[/tex]
Subtract both sides by 7
[tex]3n - 7 = 15 - 7[/tex]
[tex]3n - 7 = 8[/tex]
Multiply both sides by -10
[tex]-10(3n - 7) = -10*8[/tex]
[tex]-30n + 70 = -80[/tex]
To verify: Substitute 5 for n
[tex]-30 * 5 + 70 = -80[/tex]
[tex]-150 + 70 = -80[/tex]
[tex]-80 =-80[/tex] ---- Verified
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Pls help need answers fast
Answer:
1. 11-y=-9
2. 41+w=26
3. r÷6=-4
4. 18(p)=54 or 18×p=54
5. Yes V= -52
6. Yes Z= -3
7. No would equal 43
8. No T would equal positive 6.
9. B
10. C
11. D
12. A
2x2 + 8x - 7 = 0
How to solve
x =(8-√120)/4=2-1/2√ 30 = -0.739
Step-by-step explanation: calculator
Answer:
2 x 2 +8x -7= 0
4+8x-7=0
-3+8x=0
8x=0+3
8x/8=3/8
x=3/8
x=0.375
Step-by-step explanation:
1.Multiply 2x2 to get 4
2.Calculate the difference between 4-7
3.Move the constant to the right side
4.Divide both sides of the equation by 8
A circular light fixture has a radius of 20 centimeters.what is the circumference of the light fixture
Answer:
[tex]\boxed {\boxed {\sf 40 \pi \ cm, 125.6 \ cm, or \ 125.6637061 \ cm}}[/tex]
Step-by-step explanation:
Circumference can be found by multiplying the diameter of the circle by pi.
[tex]c= \pi d[/tex]
We are given the radius, which is 20 centimeters. We need the diameter, which is twice the radius.
[tex]d= 2r[/tex]
[tex]d= 2(20 \ cm)[/tex]
[tex]d= 40 \ cm[/tex]
Substitute the diameter into the formula. There are many ways to calculate circumference, so I included a few options.
1. In Terms of Pi
If we solve in terms of pi, we leave π in the answer.
[tex]c=\pi ( 40 \ cm)[/tex]
[tex]c= 40 \pi \ cm[/tex]
2. Using 3.14 as Pi
[tex]c=\pi ( 40 \ cm)[/tex]
Substitute 3.14 in for pi.
[tex]c= (3.14)(40 \ cm)[/tex]
[tex]c=125.6 \ cm[/tex]
3. Using 3.14159 as PI
[tex]c=\pi ( 40 \ cm)[/tex]
Use the pi button on a calculator.
[tex]c= 125.6637061 \ cm[/tex]
The circumference of the light fixture is 40π, 125.6 cm, or 125.6637061 cm
13 less than the product of a number and 6 is 5
Answer: Excuse me, what do you mean "and 6 is 5?"
Step-by-step explanation:
Solve to find X. 3 ≥ -3x
Answer:
-1 ≤ x
Step-by-step explanation:
You just need to divide -3 on both sides.
-1 ≤ x
Note that since you are dividing by a negative number, the sign flips.
-1 ≤ x
Step-by-step explanation:
First start with the equation:
3 ≥ -3x
divide by -3 to get x positive and singular:
-1 ≥ x
and since we divided by a negative we need to flip the sign:
-1 ≤ x would be your answer
hope this helped :)
In a pet store, the small fishbowl holds up to 23
gallons of water. The large fishbowl holds up to 2
times as much water as the small fishbowl.
Eloise draws this model to represent the number of
gallons of water the large fishbowl will hold.
How many gallons of water does the large fishbowl
hold?
Enter your answer as a mixed number in simplost
form by filling in the boxos.
aal
Answer: the large fishbowl hold up to 46 gallons of water
Step-by-step explanation:
Answer: the large fishbowl hold up to 46 gallons of water
How do you further solve this?
Answer:
x = ±√89-30 cos(55) (everything is under the radical)
and then plug the radical into a calculator and you get two answers:
x1= -9.39873
x2=9.39873
Step-by-step explanation:
i hope this helped :)
Look at pic and pls halp
Solve the equation by graphing. - x2 = 8x + 20
Answer: No real solutions.
Step-by-step explanation: −x2=8x+20
Step 1: Subtract8x+20 from both sides.
−x2−(8x+20)=8x+20−(8x+20)
−x2−8x−20=0
For this equation: a=-1, b=-8, c=-20
−1x2+−8x+−20=0
Step 2: Use quadratic formula with a=-1, b=-8, c=-20
Wich quadrilaterals always have consecutive angles that are supplementary
Answer:
PARALLELOGRAMS (rectangles, squares, and rhombi): 1) Opposite sides of a parallelogram are congruent. 2) Opposite angles of a parallelogram are congruent. 3) Consecutive angles in a parallelogram are supplementary.
Step-by-step explanation:
The quadrilaterals which have supplementary consecutive angles are called; Parallelogram.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
The quadrilaterals which have supplementary consecutive angles are called Parallelogram.
A parallelogram is a kind of quadrilateral which has two parallel sides on each opposite sides which are equal and the opposite angles in a parallelogram are also equal.
The consecutive angles of a parallelogram are supplementary refers that the sum of the consecutive angles in a parallelogram is equal to 180 degrees. The total sum of all the angles in a parallelogram is 360 degrees as it is a quadrilateral.
Learn more about parallelogram;
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Calculate the correlation coefficient, r, for the data below.
This question is incomplete, the complete question is;
Calculate the correlation coefficient, r, for the data below.
X = -10 -8 -1 -4 -6 -7 -5 -3 -2 -9
Y = -15 -13 4 -4 -7 -11 -6 -2 1 -13
Answer: the correlation coefficient, r, for the data is 0.9896
Step-by-step explanation:
Given the data in the question;
correlation coefficient r = ?
we know that, C_Coeff is;
r = [ (Zn(∑xy) - (∑x)(∑y) ] / [ √[( n∑x² - (∑x)²) ( n∑y² - (∑y)²)] ]
so ;
X Y X² Y² XY
-10 -15 100 225 150
-8 -13 64 169 104
-1 4 1 16 -4
-4 -4 16 16 16
-6 -7 36 49 42
-7 -11 49 121 77
-5 -6 25 36 30
-3 -2 9 4 6
-2 1 4 1 -2
-9 -13 81 169 117
∑ -55 -66 385 806 536
now we substitute our values into the formula
r = [ (10×536 - (-55)(-66) ] / [ √[( 10×385 - (-55)²) ( 10×806 - (-66)²)] ]
r = 1730 / √( 825 × 3704 )
r = 1730 / √3055800
r = 1730 / 1748.0846
r = 0.9896
Therefore the correlation coefficient, r, for the data is 0.9896
What is the total area of the shaded region? Type just the answer in the blank.
Answer:
240cm
Step-by-step explanation:
6cm*14cm= 84cm
6*6=36
84+36=120*2=240
Answer:
7cm x 8cm
Step-by-step explanation:
The 14cm x 12cm box (top 'box 1') intersects with the 14cm x 12cm box (bottom 'box 2').
Half the values of each side are subtracted from one another, so
horizontal length: 14/2 = 7cm
vertical length: 12/2 = 6cm
Box 2 horizontal length (total) = 14cm devided by half the length of box 1 (7cm)
14 - 7 = 7cm
Box 2 vertical length (total) = 12cm devided by half the length of box 1 (6cm)
12 - 6 = 6cm
The total area is calculated by multiplying the horizontal and vertical lengths
7x6 = 42
the answer is 42
Can someone help me out with this problem?
Answer:
[tex] \frac{1}{2} \: cup \: for \: each \: dumpling \\ 10 \: cups \: for \: \frac{ \frac{10}{1} }{ \frac{1}{2} } = 20 \: dumplings[/tex]
20 dumplings can be made by Luke.Megan had some money in her wallet. Her mom gave her $38.25 to go shopping. Now Megan has fifty dollars. How much money did Megan have in her wallet before her mom gave her money?
Answer:
$11.75
Step-by-step explanation:
50-38.25=11.75
Answer:
She had $11.75 in the beginning
Step-by-step explanation:
Subtract
50-38.25
you should get 11.75
hope this helps
take care
5,1,0,4,0 what is the range?
Answer:
range: 4
Step-by-Step Explanation:
In a certain state, a survey of 600 workers showed that 35% belonged to a union. Find the 95% confidence interval of true proportion of workers who belong to a union.
Answer:
The 95% confidence interval of true proportion of workers who belong to a union.
(0.29657 , 0.40343)
Step-by-step explanation:
Explanation:-
Given sample size 'n' = 600
Given sample proportion p = 35% or 0.35
The 95% confidence interval of true proportion of workers who belong to a union.
[tex](p^{-} -Z_{0.05} \sqrt{\frac{pq}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{pq}{n} } )[/tex]
[tex](0.35 -1.96\sqrt{\frac{0.35 X0.65}{600} } , 0.35 + 1.96\sqrt{\frac{0.35 X 0.65}{600} } )[/tex]
( 0.35 - 1.96 (0.02726) , 0.35 + 1.96 (0.02726)
(0.35 - 0.05343 , 0.35 + 0.05343)
(0.29657 , 0.40343)
Final answer:-
The 95% confidence interval of true proportion of workers who belong to a union.
(0.29657 , 0.40343)
After you have opened a checking account and made a deposit, you may write
checks. A check directs the bank to deduct money from your checking account to
make a payment. Your account must contain as much money as the amount of the
check you are writing to avoid overdrawing your account.
Write each amount in words as it would appear on a check.
Answer:
kentrell top Guadlin 4kt
A right triangle has a base of 6m and a height of 8m. The slant (hypotenuse) is 10m. What is the DIFFERENCE Between the area of this triangle and the perimeter of this triangle?
Answer:
Step-by-step explanation:
Perimeter=a+b+c=6+8+10=24 m
Area=1/2*a*b=1/2*6*8=24 m^2
5c + d = c+ 4d find the ratio c:d
Answer:3c + 18d brainless pls
Step-by-step explanation:First, eliminate the parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:
3
(
5
c
+
4
d
)
+
6
(
d
−
2
c
)
⇒
(
3
⋅
5
c
)
+
(
3
⋅
4
d
)
+
(
6
⋅
d
)
−
(
6
⋅
2
c
)
⇒
15
c
+
12
d
+
6
d
−
12
c
Next, group like terms:
15
c
−
12
c
+
12
d
+
6
d
Now, combine like terms:
(
15
−
12
)
c
+
(
12
+
6
)
d
3
c
+
18
d,
Given:
[tex]\to 5c + d = c+ 4d[/tex]
To find:
c:d=?
Solution:
\to 5c + d = c+ 4d
simulating the identical terms:
[tex]\to 5c -c = 4d-d\\\\\to 4c = 3d\\\\\to \frac{c}{d} = \frac{3}{4}\\\\\therefore\\\to c:d= 3:4[/tex]
so, the ratio is 3:4
Learn more about the ratio:
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As an estimation we are told 5 miles is 8 km.
Convert 19.2 miles to km.
Answer:
about 30 km. If it wasn't estimated, it would be 30.8994048 km.
Answer:
12
Step-by-step explanation:
Ted has a part-time job.
He is paid £7.90 per hour.
Last week he worked for 15/2 hours.
Work out Ted's total pay for last week.
Answer:
The answer is 122.45
Step-by-step explanation:
So basically we know that he worked 15 and 1/2 hours
He gets paid £7.90 for every hour he works
7.90 × 15 = 118.5
Then you do half of £7.90 which is £3.95 because he worked 1/2 hours half of 60 minutes is 30 minutes that why you half £7.90.
You add 118.5 + 3.95 = £122.45
and that your answer
A rectangular water tank is 80 m long, 50 m wide and 60 m height. If the
depth of water in the tank is 45 m, find the volume of water required to
completely fill the tank?*
A)240,000cm3
B)60,000cm3
C)180,000cm3
D)120,000cm3
Answer: 2
Step-by-step explanation:
80 x 50 x 60 is volume of tank
240000
Water is already filled to 45 so volume up to that is
80x 50 x 45 = 180000
Subtract to find the difference needed to fill tank
240000 - 180000 = 60000
The volume of water to completely fill the tank is A) 240,000cm³.
What is volume?Volume is defined as the amount of three-dimensional space occupied by some close object.
We know the volume of a cuboid is (Height×Width×Length).
Given a rectangular water tank is 80m long, 50m wide and 60m in height and the depth of the water is 45m.
To obtain the volume of water we have to take 45m as the height or we can think of the height of the tank is 60m but water can only be filled up to 45m.
∴ The volume of the water is (80×50×45) m³.
= 180,000 m³.
Learn more about volume here :
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How many fewer 14 starfish are there than 16 jellyfish and 4 sharks
Answer:
6 fewer starfish
Step-by-step explanation:
16+4=20
20-14=6
6 fewer starfish are there.
3000-{ ( 3848 : 74 + 23 x 12 ) x 8 } - ( 125 x 14 : 10 ) =
Answer:
2739
Step-by-step explanation:
3000-(52+276:8)-(1750:10)
3000-(52+34)-175
3000-86-175=2739
Which of the following graphs represent a function? Please help me I will make you brainiest
Answer
-10 – (-2) =
Answer:
8
Step-by-step explanation:
- (-2) is the same as + 2
-10 + 2 = -8
Answer:
-8
Step-by-step explanation:
Since there are two minus sign with the two, make it into plus. There fore the equation is -10+2= -8!
please help if u can! :))))
Answer: 0.8
Step-by-step explanation:
The formula to find area of a parallelogram is A = bh. This means that area = base x height. You can manipulate this formula to what height equals instead of the area. To do that, you can divide b on both sides. This would make the equation h = A/b.
Now that you know how to find what height equals, first find the base of the parallelogram. To find b, multiply 6 x 5. 6 x 5 = 30. This means that your base is 30.
Take the information given to you in the problem about the area. The area is given to you. We know that the area is 24 squared units. Remember what the equation to find height is. It's h = A/b. Substitute the variables for your numbers. h = 24/30.
24/30 = 0.8.
This means that your height is 0.8. This would be 8/10 in fraction form, but you can simplify it further to 4/5.
Hope it helps. Good luck!
you will have amazing luck if you help me out trust
Answer:
x=29
Step-by-step explanation:
5x+30=175 because they are congruent
5x=145
x=29
All the factors of 7 are also factors of 14. True or False?
Answer:
true
Step-by-step explanation: