Answer:
(a) 8
(b) 4
(c)5
Step-by-step explanation:
We are given multiple parts and we need to provide the correct answer among the given options, also we need to prove that rest of the answers are wrong.
(a). X + 12 = 20 ( 12,8,20,0)
X= 20 -12
X= 8, so only 8 is the correct answer and rest are wrong.
Proof: lets take other given options into consideration
X= 12
X+12 =12+ 24 which is wrong because X+12 is already given as 20.
similarly,
X=20
X+12 = 20+12 = 36, which is wrong because X+12 is already given as 20.
X= 0
X+12 = 0+12 = 12, which is wrong because X+12 is already given as 20.
(b). P - 4 = 0 (4,-4,8,0)
P-4 = 0
P= 4, So only 4 will give the correct answer and not the other options.
P= -4 = -4 -4 = -8, which is wrong because P-4 is is already given as 0.
similarly,
P = 8 = 8-4 = 4, which is wrong because P-4 is is already given as 0.
P = 0, 0-4 = -4 , which is wrong because P-4 is is already given as 0.
(c). 2y - 3 = 7 (0,3,5,7)
2y = 7 + 3
2y = 10
y = 5, only 5 will satisfy this given equation and rest will be wrong,
y = 0
2y-3 = 7
2(0) - 3 = 7
-3 = 7 which is not correct as LHS and RHS must be same.
similarly,
y = 3
2y-3=7
2(3) - 3 =7
6-3 = 7
3=7 which is again wrong.
y = 7
2(7) -3 =7
14-3 = 7
11=7, which is wrong.
Therefore the given options for the correct answers is verified and the wrong answers are given as the proof.
Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller number is 50
Answer: Smaller number = 6
Larger number = 20
Step-by-step explanation:
Let the smaller number be x.
Let the larger number be y.
Three times a larger number is 30 more than 5 times a smaller number. This will be:
3 × y = (5 × x) + 30
3y = 5x + 30 ...... i
The sum of the larger number and 5 times the smaller number is 50. This will be:
y + 5x = 50 ...... ii
From equation ii
y + 5x = 50.
y = 50 - 5x ...... iii
Put the value of y = 50 - 5x into equation i
3y = 5x + 30
3(50 - 5x) = 5x + 30
150 - 15x = 5x + 30
150 - 30 = 5x + 15x
120 = 20x
x = 120/20
x = 6
The smaller number is 6
Note that y + 5x = 50
y + 5(6) = 50
y + 30 = 50
y = 50 - 30
y = 20
The bigger number is 20
Solve the equation. Check your solutions.
|4b+4|=|2b+8|
Answer:
b = 2 or b = -2Explanation:
|4b + 4| = |2b + 8|
Solve absolute value
|4b + 4| = |2b + 8|
Either 4b + 4 = 2b + 8 or 4b + 4 = −(2b + 8)
4b + 4 = 2b + 8 (Possibility 1)
4b + 4 − 2b = 2b + 8 − 2b (Subtract 2b from both sides)
2b + 4 = 8
2b + 4 − 4 = 8 − 4 (Subtract 4 from both sides)
2b = 4
2b / 2 = 4 / 2 (Divide both sides by 2)
b = 2
4b + 4 = −(2b + 8) (Possibility 2)
4b + 4 = −2b − 8 (Simplify both sides of the equation)
4b + 4 + 2b = −2b − 8 + 2b (Add 2b to both sides)
6b + 4 = −8
6b + 4 − 4 = −8 − 4 (Subtract 4 from both sides)
6b = −12
6b / 6 = -12 / 6 (Divide both sides by 6)
b = -2
b = 2 or b = -2in the diagram shown, which angle pairs form complementary angle
Answer: angle DBE & angle ABD and angle EBF & angle FBC
Step-by-step explanation:
complimentary angles add up to 90 degrees, so just find the pairs of angles that add up to 90 degrees.
Evan is going to an amusement park. The price of admission into the park is $40, and
once he is inside the park, he will have to pay $2 for every ride he rides on. How
much money would Evan have to pay in total if he goes on 15 rides? How much would
he have to pay if he goes on r rides?
Answer:
70
40+2r
Step-by-step explanation:
x= number of rides
40+2x
plug in 15 for x
40+2(15)
70
for hte other part just replace x with r
40+2r
Angie's rotation maps triangle XYZ to triangle X'Y'Z'. X(3,6) maps to X'(-3, 6) Y(1, -2) maps to Y'(-1, 2) Z(-1,-5) maps to Z (1,5) Which describes the rotation? 180° rotation O 270° clockwise rotation 90° counterclockwise rotation 90° clockwise rotation
Answer:a
Step-by-step explanation:
A
Triangle XYZ is rotated 180° clockwise to form triangle X'Y'Z'.
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation
If a point A(x, y) is rotated 180° rotation, the new point is at A'(-x, -y).
Triangle XYZ is rotated 180° clockwise to form triangle X'Y'Z'.
Find out more on Transformation at: brainly.com/question/1462871
Todoroki's training practice starts at 9:45 A.M and ends at 12:35 P.M. How long is Todoroki's training practice?
Answer:
2 hours and 9 minutes
Step-by-step explanation:
7c - 4
algebraic expression
Answer:
4 taken away from 7 times a number
Step-by-step explanation:
4 taken away (-4) from 7 times (7x) a number (c)
7c - 4
Answer:
It's the 3rd one. Four taken away from the product of seven and a number
Step-by-step explanation:
since it's 7c this shows that we are multiplying them together and then taking away 4.
A family of 2 adults and 3 children went on holiday to Miami.
The family visited a theme park.
They paid a total of 322 dollars to go in.
The exchange rate was £1 = 1.84 dollars.
Change 322 dollars to pounds (£).
Answer:
£175
Step-by-step explanation:
Given the exchange rate was £1 = 1.84 dollars.
We are to change 322 dollars to pounds (£).
£1 = 1.84 dollars.
x = 322 dollars
Cross multiply
1.84 * x = 322
1.84x = 322
x = 322/1.84
x = 175
Hence 322 dollars in pounds will be £175
What does 43/12 is equivalent too?
Hi there!
Fractions can be equivalent to a lot other fractions...
Explanation:
43/12x2 would be 86/24 so that would be equivalent.
Let do another one..
43/12 when doing this, you can decide to divide or not but this is in the simplest form already so we can just multiply 43 and 12 with anything we want so let do... 5.
So 43 multiply by 5 would be..215 and 12x5 would be 60. So another equivalent fractions that’s the same as 43/12 or we can say 86/24 is 215/60.
I also added how I got the equivalent fractions just in case you don’t understand still...
Helppp! 20 points!
Find m
m
Answer:
M∠ABC=58°
Step-by-step explanation:
The sum of Angle ∠ABD and Angle ∠DBC
37°+21°=58°
Factor completely. x^2−11x+24
Answer:
(x-3)*(x-8)
Step-by-step explanation:
x^2-11x+24=(x-3)*(x-8)
True or false this number is written in scientific notation?
.2486 x 10^12
Answer:
It Is TrueIt is true because scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.
Determine whether Joe is shorter or taller than the height of the tepee
Answer:
shorter
Step-by-step explanation:
Evaluate 3√343 + 3/4 3√-8
Answer:
5 1/2 is the answer, hope this helps
A mountain climber climbed down a cliff 10 metres at a time. He did this 5 times in one
day. What was the overall change in his elevation?
-50m
150m
-150m
50m
Answer:
-50 m
Step-by-step explanation:
its negative elevation because he is going down
If an orange is 14cm in diameter.if 3/7 of it is juice,what volume of juice can you get from 5 such oranges.
(Pie=22/7)
Answer:
3079.5 cm^3
Step-by-step explanation:
We need to find the volume of the orange using the volume of a sphere formula V= 4/3 (π)(r^3). So we plug in the numbers V= 4/3 (22/7) (7^3) and solve. Simple simply the exponent and multiply everything. V= 4/3 (22/7) (343)= 1437 cm^3. Then we take 3/7 from the volume to focus on the juice. 1437(3/7) = 615.9 cm^3. Then multiply by five to find the volume of juice from 5 oranges. 615.9(5)= 3079.5 cm^3
Help please :>
Convert 108 km/hr into m/s
Answer:
hello :) the answer is 30 m/s
Answer:
30m/s
Step-by-step explanation:
Convert km to m:
108 —> 108000
Convert hr to s
1 —> 3600
Now put them back into their place in the fraction: 108000/3600
Simply the fraction: 30m/s
-6, 12 ,-24 ,48 what would be the next term in this sequence (help ASAP please )
Tom has ⅞ cup of olive oil. He uses ½ cup to make salad dressing and ¼ cup to make tomato sauce. How much olive oil does Tom have left?
Answer:
1/8 cup left
Step-by-step explanation:
Starts with 7/8
Uses 1/2 which equals 4/8
Then uses another 1/4 which equals 2/8
4/8+2/8 is 6/8 so he uses 6/8 of olive oil
He has 7/8 and uses 6/8 so 7/8-6/8 quals 1/8
Another chance for brainliest if it correct ! Please help
Answer:
Step-by-step explanation:vdcdcdcdcdc
Bobinvested$6500intoamutualfund with 3.5% monthly interest rate. What is the balance in the account after one month?
Answer:
$6727.50
Step-by-step explanation:
35/1000*6500
= 35*6.5
=227.50
6500+217.50
6727.50
Find the area of each regular polygon. Round to the nearest tenth.
A= _ In2 ?
Answer:
Area of the square = 225.0 in²
Step-by-step explanation:
Given polygon is a regular polygon that means given quadrilateral has all sides equal in measure.
And a quadrilateral with all sides equal is known to be a square.
Therefore, area of a square = (Side)²
= (15)²
= 225
≈ 225.0 in²
Jack spends 15% of his pocket money on sweets and 35% on magazines.He saves the rest.Work out how much he spends and saves each week
Answer fasttt plsssssss
Answer:
25ax25b= 625
What is the slope? ASAP!!!
Answer:
2/1 I think but i don't know
Identify the correct explanation for why the triangles are similar. Then find OP and MN.
Options:
A. ∠M≅∠N. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Alt. Int. ∠s Thm. Therefore, △LOP∼△LMNby AA∼. OP=8 and MN=4.
B. ∠L≅∠L by the Reflex Prop. of ≅. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Corr. ∠s Post. Therefore, △LOP∼△LMNby AA∼. OP=2 and MN=6.
C. ∠L≅∠L by the Reflex Prop. of ≅. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Corr. ∠s Post. Therefore, △LOP∼△LMNby AA∼. OP=4 and MN=8.
D. ∠M≅∠N. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Alt. Int. ∠s Thm. Therefore, △LOP∼△LMNby AA∼. OP=2 and MN=6.
Answer:
The correct explanation is option B;
B. ∠L ≅ ∠L By Reflexive Prop. ≅.
Since [tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex], ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6
Step-by-step explanation:
The given parameters are;
[tex]\overline {LP}[/tex] = 5
[tex]\overline {NP}[/tex] = 10
[tex]\overline {LN}[/tex] = [tex]\overline {LP}[/tex] + [tex]\overline {NP}[/tex] = 15
[tex]\overline {OP}[/tex] = x - 3
[tex]\overline {MN}[/tex] = x + 1
A two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
∠L ≅ ∠L [tex]{}[/tex] By Reflexive property of congruency
[tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex] [tex]{}[/tex] Given
∠LOP ≅ ∠LMN [tex]{}[/tex] By the Corresponding angles Postulate
Therefore
ΔLOP ~ ΔLMN [tex]{}[/tex] By AA similarity Postulate
Where we have that ΔLOP and ΔLMN, we get;
[tex]\overline {OP}[/tex]/[tex]\overline {MN}[/tex] = [tex]\overline {LP}[/tex]/[tex]\overline {LN}[/tex] = 5/15 = 1/3
∴ (x - 3)/(x + 1) = 1/3
3·(x - 3) = 1·(x + 1)
3·x - 9 = x + 1
3·x - x = 1 + 9 = 10
2·x = 10
x = 10/2 = 5
x = 5
[tex]\overline {OP}[/tex] = (x - 3) = 5 - 3 = 2
[tex]\overline {OP}[/tex] = 2
[tex]\overline {MN}[/tex] = x + 1 = 5 + 1 = 6
[tex]\overline {MN}[/tex] = 6
Therefore, the correct option is ∠L ≅ ∠L By Reflexive Prop. ≅.
Since [tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex], ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6.
Rashid owned n sheep. Eifion had exactly 4 times as many sheep as Rashid. Rashid buys 17 extra sheep. Eifion sells 8 of his sheep. Eifion still has more sheep than Rashid. Form an inequality, in terms of . Solve the inequality to find the least value of
4n - 8 > n + 17
n > 8.33
This means n is greater than 8.33.
We can have 9, 10, 11, 12, 13, ,,, and so on.
The least value is 9.
The least value of the number of sheep is 9.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
Rashid:
Number of sheep owned = n
Bought 17 sheep = n + 17
Eifion:
Number of sheep owned = 4n
Sells 8 sheep = 4n - 8
Eifion still has more sheep than Rashid.
This means,
4n - 8 > n + 17 ______(1)
Solving for n in (1).
4n - 8 > n + 17
Subtract n on both sides.
4n - 8 - n > n + 17 - n
3n - 8 > 17
Add 8 on both sides.
3n - 8 + 8 > 17 + 8
3n > 25
Divide 3 on both sides,
n > 25/3
n > 8.33
This means n is greater than 8.33.
We can have 9, 10, 11, 12, 13, ,,, and so on.
The least value is 9.
Thus,
The least value of the number of sheep is 9.
Learn more about inequalities here:
https://brainly.com/question/20383699
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The solution to a system of linear equations could be...
Answer:
a b e f h
Step-by-step explanation:
The heights of 6 shrubs are 3. 4. 2.
8. 4. and 2 feet. Which value
represents an outlier?
A: 2. B:3. C:4. D:8
Answer:
I think its C.4
Step-by-step explanation:
One card is selected from a deck of cards. Find the probability of selecting a black card or a king.
Answer:
30/52
Step-by-step explanation: