Answer: I got the answer of -7/2
Step-by-step explanation:
8
x
+3=
1
x
+1
Multiply all terms by x and cancel:
8+3x=1+1x
3x+8=x+1(Simplify both sides of the equation)
3x+8−x=x+1−x(Subtract x from both sides)
2x+8=1
2x+8−8=1−8(Subtract 8 from both sides)
2x=−7
2x
2
=
−7
2
(Divide both sides by 2)
x=
−7
2
Check answers. (Plug them in to make sure they work.)
x=
−7 /2
(Works in original equation)
Answer: -7/2
Using multiplication, the equation has the solution is -7/2.
What is multiplication?
The multiplication is "the process of multiplying one number is to multiply to its certain number of times".
According to the question,
[tex]\frac{8}{x} + 3 = \frac{1}{x} +1[/tex]
[tex]\frac{(8+3x)}{x} = \frac{1+x}{x}[/tex]
8 + 3x = 1 + x [By cancel 'x' on both denominator]
8 - 1 = x - 3x
7 = -2x
x = - [tex]\frac{7}{2}[/tex]
Hence, using multiplication the equation has the solution is -7/2.
Learn more about multiplication here
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Zia is building a plastic model rocket that has the combined shape of a cone and a cylinder as shown. Additionally, the cylinder has a hemisphere hollowed out of its bottom. the plastic for the cone weights 1.4 grams per cubic centimeter and the plastic of the cylinder weighs only 0.8 grams per cubic centimeter. What is the volume of the plastic that remains?
Answer:
The answer would be A. 1 1/5
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
Hope this helps!
Verify that sin 2x = 2 cot x sin2 x is an identity
Answer:
see explanation
Step-by-step explanation:
Verifying that the left side equals the right side
left side = sin2x = 2sinxcosx
Consider the right side
2cotxsin²x
= 2 × [tex]\frac{cosx}{sinx}[/tex] × sin²x ← cancel sinx on numerator/ denominator
= 2cosxsinx = left side ⇒ verified
A dance school offers 5 types of classes: jazz, tap, hip-hop, ballet, and lyrical. It conducts 950 classes over the course of a
year. If it conducts the same number of each type of class, how many jazz classes are given?
19
190
475
945
Answer:190
Step-by-step explanation:
If there are 950 classes over a year and 5 classes then there are 190 classes per class because 950/5=190
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
Which of the following has contributed to flooding in India?
I. India receives an excessive amount of rainfall.
II. India's coastal regions experience many cyclones.
III. India's deforestation makes it harder for soil to absorb water.
CA
II and III
B. Tand III
OC. I and II
D. I, II, and Ill
Answer:
| and ||
Step-by-step explanation:
Answer:
The answer is I, II, and III
Step-by-step explanation:
It's exponential, quadratic or linear?
Answer:
B
Step-by-step explanation:
What is the experimental probability of rolling a number less than 3?
Answer:
The probability of rolling a number less than 3 (so, 1 or 2) is 2 out of 6, or 1/3. The odds are 4 to 2 against, or 2 to 1 against.
Step-by-step explanation:
If so, there are two numbers less than 3: 1 and 2. There are 6 total possible results, so the probability of rolling a number less than 3 is 26 or 13 or 0.3333
Select the solution for the system of linear equations y = x + 6 and y = -2x.
A.
(2,-4)
B.
(-2,4)
C.
(-2,-4)
D.
(2, 4)
Hello, I need help to figure out the arc measure of AH and GC. Could someone please give me the answer as well as the work ?
Thank you in advance!
Answer:
AH=AB and GC=CB
Step-by-step explanation:
I need the answer to these two questions 12 points !
HELP ME! XCCCC
The Stem-and-Leaf Graph shows the distance traveled by Rob's family, in
miles per day, to reach their holiday destination. What is the mean for this
data?
OA) 65 mi. per day
OB) 73 mi. per day
OC) 82 mi. per day
OD) 94 mi. per day
Answer:73
Step-by-step explanation:
The MEAN in math means you add all of the numbers together
60 plus 65 plus 73 plus 82 plus 85 = 365
then you divide how many numbers there are and there is 5 numbers so you divide.
365 divided by 5 equals 73
Answer:
73
Step-by-step explanation:
Consider the triangle shown. Triangle R P Q is shown. Angle Q R P is 40 degrees. Angle R P Q is 105 degrees. Angle P Q R is 35 degrees. Which shows the sides in order from longest to shortest? Line segment P Q, line segment R Q, line segment R P Line segment R Q, Line segment P Q, line segment P Q Line segment R Q, line segment R P, line segment P Q Line segment R P, line segment P Q, line segment R Q
Answer:
RQ, PQ and RP.
Step-by-step explanation:
Note: Options are not correct.
From the given information, in triangle RPQ
[tex]\angle QRP=40^\circ[/tex]
[tex]\angle RPQ=105^\circ[/tex]
[tex]\angle PQR=35^\circ[/tex]
In a triangle, greatest angle has longest opposite side and smallest angle has shortest opposite side
Now,
[tex]\angle RPQ>\angle QRP>\angle PQR[/tex]
[tex]RQ>QP>PR[/tex]
[tex]RQ>PQ>RP[/tex]
Therefore, the order from longest to shortest is RQ, PQ and RP.
Answer:
RQ, PQ and RP.
Step-by-step explanation:
Mimi earns a 15% commission on any sales she earns.
Based on the information, which equation below represents total commission, c, for any given sale, S.
A c = s(1.5)
B. c = s(0.15)
.
Cc=s-s(0.15)
D. c= 150
Answer:
Its B
Step-by-step explanation:
plsssssssssssssssssssssssssssssssssssssssssssssssssssss help me thx
Answer:
I dont understand what u want me to solve tho
Find the 44th term in the following
arithmetic sequence :
2, 3, 4, 5, ...
Answer:
45
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 3 - 2 = 1, thus
[tex]a_{44}[/tex] = 2 + (43 × 1) = 2 + 43 = 45
What I want you to do is think of yourself as a tourist who just landed in Nebraska. You've decided to take a road trip across the northwestern US (as presented in the states shown on the map) and you want to cross each state border exactly once. So for example, you want to make sure that you cross the border between SD-ND, SD-NE, SD-WY, SD-MT. You don't just want to visit South Dakota, but you want to cross all of the borders as well... but only once! You can visit each state as many times as you wish, but you can only cross each border once. Can you think of a way to cross ALL of the state borders in the map exactly once, while ending back where you started in Nebraska?
Answer: up, left, down, right
Step-by-step explanation:
because
If would be great if someone answered this I'm sorry if its blurry the set of numbers are (4,4) (5'5)
Answer:
I think its 3752 but i might be wrong not sure
Step-by-step explanation:
or its 15008
Find the least number which must be added to each of the following numbers to make them a perfect square. Also find the square root of the perfect square number so obtained: a) 5678
Answer:2
Step-by-step explanation:22*
Answer:
5 = 25 = 5
6 = 36 = 6
7 = NA
8 = 81 = 9
pls help will mark as brainliest
Answer:
1. Onesimus is the box 1
2. Gauls is box 8
3. Tarsus is box 3
4. Damascus is box 6
5. Ephesus is box 9
6. Colossae is box 12
7. Thessolonica is box 4
8. Ananias is box 2
9. Philippians is box 7
10. Tychicus is box 10
11. Phoebe is box 5
12. Epaphrase is box 11
Step-by-step explanation:
Hope this helps.
Any help someone....
(solve triangles using the law of sines)
Answer:
[tex]B=51[/tex]°
Step-by-step explanation:
Use the Law of Sines as follows:
[tex]\frac{sinC}{c} =\frac{sinB}{b}[/tex]
Insert the appropriate values:
[tex]\frac{sin100}{14} =\frac{sinB}{11}[/tex]
Isolate B. Multiply both sides by 11:
[tex]11*(\frac{sin100}{14} )=11*(\frac{sinB}{11})\\\\\frac{11*sin100}{14} =sinB\\\\sinB=\frac{11*sin100}{14}[/tex]
Use the inverse:
[tex]B=sin^{-1}(\frac{11*sin100}{14})[/tex]
Insert the equation into a calculator and round to the nearest degree:
[tex]B=50.7\\\\B=51[/tex]
Angle B is 51°.
:Done
Simplify each side of the equation.
6-4 = k-3k
Answer:
k = -1
Step-by-step explanation: 6-4 = k-3k
subtract: 2 = -2k
divide both sides by -2: k = -1
simplifying is easy! we simply add or subtract like terms on each side.
6-4=2
1-3=-2 and then add k which is the variable so -2k
The equation would be 2=-2k and then we can divide both sides by -2 to isolate the variable to get -1=k
1. Which money market account will earn the most interest?
(33 puntos)
$500 principal at 0.5% monthly for 10 years.
$200 principal at 1% monthly for 20 years.
$1,000 principal at 3% monthly for 2 years.
$100 principal at 8% monthly for 1 years.
1] A triangle with sides of 8, 15, and 16 is a right triangle.
A. True
B. False
2] In a right triangle, one leg is 10 cm and the hypotenuse is 26 cm. Find the
measure of the other leg.
Response: __________
3] In a right triangle, if a = 1 and b = √3, then what is c?
A. √10
B. 2
C. √2
D. 4
4) If the two legs of a right triangle are equal and the hypotenuse is √50, each
side is 5.
A. True
B. False
5) A triangle with side lengths 13,14, and 15 is a right triangle.
A. Agree
B. Disagree
6) Solve: |−3|=5
A. -2, 8
B. 8
C. 2
D. No solution
ANSWERS
1 B
2 24
3 B
4 A
5 B
6 D
HELP ASAP
table
———————————————
Radius (ft) Bushels of corn
500 2705
1000 10818
1500 24341
2000 43273
2500 67613
What type of function best models the given data set?
A. Constant
B. Exponential
C. Linear
D. Quadratic
Answer:
Linear would be fine as it doesn't decrease to under zero
and a curve graph would represent this data fine at 10818 turning point.
Step-by-step explanation:
Find the value of y that makes the equation 2y = 12 – 5x true when x = -2.
A. 1
B. 2
C. 11
D. 22
Answer:
C 11
Step-by-step explanation:
2y = 12 – 5x
Let x = -2
2y = 12 - 5(-2)
2y = 12 +10
2y = 22
Divide by 2
2y/2 = 22/2
y = 11
Answer:
C11 is the correct answer
Step-by-step explanation:
YOU WILL GET BRAINLIEST
Evaluate the expression. 9^4*9^−4
Answer:
1
Step-by-step explanation:
9^4 = 6561
9^-4 = 1/6561
6561/6561 = 1
Do 5,6 for 15 points
Answer:
5) 6 hours
6)
b) $40 + $5 per ticket is the better option
How many twelfths equal two fourths
Answer: 6
Step-by-step explanation: Let n represent the number of twelfths in 5/4. Expressed symbolically, this is n/12 = 2/4. The LCD is 12. Multiply numerator and denominator of 2/4 by 3, obtaining: n/12 = 6/12 then n = 6. There are 6 twelves in 2/4.
There are 6 twelfths equal two fourths.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
We have to find twelfths equal two fourths
Let x represent the number of twelfths in 5/4.
So, the mathematical expression is
x/12 = 2/4.
Now, simplifying the fraction
x/ 12= 1/2
Now, multiply both side by 12
12 x/12 = 12/2
x= 6
Hence, there are 6 twelfths .
Learn more about Algebra here:
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Find the simple interest earned to the nearest cent for the principal, interest rate, and time.
$500, 4%, 2 years
I = prt
A.
$50
C.
$48
B.
$62
D.
$40
Answer:
D. $40
Step-by-step explanation:
you just plug in the numbers given to each of the values
p=$500
r=4%
t=2
then multiply them together and you have your answer
btw when multiplying them 4% would be .04 instead
hope this helps!
Don't you dare answer this question.
Solve for x
|√-39|x122 = x
Answer:
I think x is 761.28 Sorry if its wrong tried my best :) :(
Step-by-step explanation:
