Answer: 3b-18=9(b-18)
3b-18=9b-162
6b=144
b=24
3b=72
Brandon is 24, Michael is 72.
Step-by-step explanation:
CAN SOMEONE PLS HELP!!!
Answer:
[tex] 2ab^2 -d^3 + c [/tex]
Step-by-step explanation:
Given the expression [tex] 2ab^2 - (d^3 - c) [/tex], all you need to do to evaluate the expression is to open the bracket.
Use the negative sign to multiply all the terms within the bracket alongside the sign they carry.
Thus,
[tex] 2ab^2 - (d^3 - c) = 2ab^2 -d^3 + c [/tex] (negative sign multiplied by negative sign equal positive sign)
We cannot evaluate [tex] 2ab^2 -d^3 + c [/tex] further. The me three terms are different from one another. There are no like terms.
What is the measure of the complement?
Answer:
64°
Step-by-step explanation:
If two angles add up to give 90°, that are said to be complementary. One is a complement of the other.
Therefore, given that the measure of an angle, angle A = 26°, the measure of the complement of angle A = 90 - 26 = 64°.
The measure of the complement of angle A, is 64°.
How many pennies could you have if: When you break the pennies into groups of 2, you have 1 penny left over, AND when you break the pennies into groups of 3, you have 1 penny left over, AND when you break the pennies into groups of 5, you have 1 penny left over, AND when you break the pennies into groups of 7, you have NO pennies left over?
Answer:
91
Step-by-step explanation:
"When you break the pennies into groups of 2, you have 1 penny left over"
You have an odd number of pennies.
"when you break the pennies into groups of 3, you have 1 penny left over"
The number of pennies is one more than a multiple of 3.
"when you break the pennies into groups of 5, you have 1 penny left over"
A number that is divisible by 5 ends in 0 or 5. You have one more penny than that, so the number will end in 1 or 6. We already know the number is odd, so it cannot end in 6. The number of pennies must end in 1.
"when you break the pennies into groups of 7, you have NO pennies left over"
The number is a multiple of 7.
We need a multiple of 7 that ends in 1.
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, ...
You could have 91.
The instructions for mixing a rose fertilizer call for 3/8 cup of potash and 1 3/4 cups of nitrogen. What is the ratio of nitrogen to potash?
Answer:
7/4 : 3/8
Step-by-step explanation:
nitrogen =1 3/4 =7/4
potash= 3/8
including a 8% sales tax an inn charges $140.40 per night find the inns nightly cost before tax is added
Answer:
129.168
Step-by-step explanation:
multiply- 140.40*0.08=11.232
subtract- 140.40-11.232= 129.168
y is directly proportional with x. Write an equation that shows the relationship if x=2 and y=6. A. y=3x B. 6y=2x C. y=13x D. 3y=x
Answer:
Hey there!
The relationship can be y=3x.
Let me know if this helps :)
Help! Please! Geometry Question 9.
Answer:
see below
Step-by-step explanation:
|AB| = | 2 - 5.25| = 3.25
The lines starts at 2 not at 1
Need helpppppppppp! Show work plz
Answer:
9/169
Step-by-step explanation:
JQK of 4 suits = 12 cards
12/52x12/52=
3/13x3/13=
9/169
1. How many percent of 50 is 10? 2. 20 Is 60% of what number?
Answer:
1. 20%
2. [tex]33.\overline{33}[/tex]
Step-by-step explanation:
We can use percentage proportions to find out these answers.
For number one, 10 is what percent of 50, we already know our two values so we can make the equation:
[tex]\frac{10}{50} = \frac{x}{100}[/tex]
Using the cross products property, we know that x is [tex](100\cdot10)\div50[/tex] which is 20.
So 10 is 20% of 50.
For number two, we know a different pair of two numbers now: we know the percent of x, and the percent it is, so the equation can become:
[tex]\frac{20}{x} = \frac{60}{100}[/tex]
Again, cross products property tells us that x is [tex](100\cdot20)\div60[/tex], which is [tex]33.\overline{33}[/tex].
Hope this helped!
Money received by an employee after deductions is called
Answer:
disposal earnings I think
Step-by-step explanation:
it is the legal deduction of money by the government I think
Suzanne read 87 pages of her book in 3 hours. At this rate, how many pages can Suzanne read in 5 hours?
Answer:
145
Step-by-step explanation:
Rate (no. of pages per hour)
= 87 ÷ 3
= 29
5 hours
= no. of pages per hour × 5
= 29 × 5
= 145
hope it helps :))
Help me please thank you
===========================================
Explanation:
The angles 4x and 3x+10 are corresponding angles. They are on the same side of the transversal cut (above the transversal) and to the right of each parallel line.
If the corresponding angles are congruent, then line A is parallel to line B.
4x = 3x+10
4x-3x = 10
x = 10
A group of friends are going to see a movie the admission cost eight dollars per person the table below represents the number of friends on the total cost which set of ordered pairs can be written from the table
Answer:(2,16),(3,24),(4,32),(5,40)
Step-by-step explanation:
Timothy stated that the sum of 0.9 + (-9/10) was 18/20.
What mistake(s) did Timothy make?
What is the sum of 0.9 + (-9/10)?
Answer:
18/10
Step-by-step explanation:
The linear function g(x) = -4.5x + 144 represents the amount of money,
g(x), Sara has on her lunch card, where x represents the number of days
since the beginning of each month. Which represents the amount of
money on Sara's lunch card at the beginning of each month?
Answer:
Sara has $144 at the beginning of the month.
Step-by-step explanation:
At the beginning of the month, x = 0 because no days have passed since the beginning of the month. When x = 0, g(0) = -4.5(0) + 144 = 144, therefore, we know that Sara has $144 on her card at the beginning of the month.
If Q is inversely proportional to P and Q =0.25 when
P = 2,
(i) express Q in terms of P,
(ii) find the value of Q when P = 5,
(iii) calculate the value of P when Q = 0.2.
Step-by-step explanation:
i)Q is inversely proportional to P is written as
[tex]Q \: \: \alpha \: \frac{k}{P} [/tex]
where k is the constant of proportionality
we must first calculate the relationship between them
So we have
when Q = 0.25
P = 2
Substitute the values into the above equation
That's
[tex]0.25 = \frac{k}{2} [/tex]
Cross multiply
We have
k = 0.25 × 2 = 0.5
So the formula for the variation is
[tex]Q = \frac{0.5}{P} [/tex]
ii)when P = 5
We have
[tex]Q = \frac{0.5}{5} [/tex]
We have the answer as
Q =0.1iii)When Q = 0.2
We have
[tex]0.2 = \frac{0.5}{P} [/tex]
Cross multiply
That's
0.2P = 0.5
Divide both sides by 0.2
We have the answer as
P = 2.5Hope this helps you
(-1 2/3) the power of 2 =
[tex]2\frac{7}9}[/tex]
Step-by-step explanation:[tex](-1\frac{2}{3})^{2}=(-\frac{5}{3})^{2}=\frac{-5^{2}}{3^{2}}=\frac{25}{9}=2\frac{7}9}[/tex]
b = 1/2 a - 3c rearrange to make a the subject
Answer:
[tex]\huge \boxed{a = 2b + 6c}[/tex]
Step-by-step explanation:
b = 1/2a - 3c
Add 3c to both sides of the equation.
b + 3c = 1/2a - 3c + 3c
b + 3c = 1/2a
Switch sides.
1/2a = b + 3c
Multiply both sides of the equation by 2.
2(1/2a) = 2(b + 3c)
a = 2b + 6c
Step-by-step explanation:
[tex]b = \frac{1}{2} a- 3c[/tex]
Multiply both sides ✖ of the equation by 2
[tex]2b = a - 6c[/tex]
Move the variable to the left-hand side and change its sign
[tex] - a + 2b = - 6c[/tex]
MOVE THE VARIABLE TO THE RIGHT-HAND SIDE AND CHANGE ITS SIGN
[tex] - a = - 6c - 2b[/tex]
Change the sign on both sides of the equation
[tex]a = 6c + 2b[/tex]
Therefore the answer is
[tex]a = 6c + 2b[/tex]
Find the 4th term in the sequence with the following definition
Answer:
-37
Step-by-step explanation:
[tex]a_{1}=-2\\a_{n}=2a_{n-1}-3\\a_{2}=2a_{1}-3=2(-2)-3=-4-3=-7\\a_{3}=2a_{2}-3=2(-7)-3=-14-3=-17\\a_{4}=2a_{3}-3=2(-17)-3=-34-3=-37[/tex]
solve the simultaneous equation 2p - 3q = 4, 3p + 2q = 9.
b. if 223= 87 find x
Answer:
Step-by-step explanation:
Given the simultaneous equation 2p - 3q = 4 and 3p + 2q = 9, to get the value of p and q we will use elimination method.
2p - 3q = 4 ...................... 1 * 3
3p + 2q = 9 ..................... 2 * 2
Multiplying equation 1 by 3 and 3 by 2:
6p - 9q = 12
6p + 4q = 18
Subtracting both equation
-9q-4q = 12-18
-13q = -6
q = -6/-13
q = 6/13
Substituting q = 6/13 into equation 2
2p - 3(6/13) = 4
2p - 18/13 = 4
2p = 4+18/13
2p = (52+18)/13
2p = 70/13
p = 70/26
p = 35/13
Hence p = 35/13 and q = 6/13
b) If if 223ₓ = 87 find x
Using the number base system and converting 223ₓ to base 2 will give us;
223ₓ = 2*x² + 2*x¹ + 3*x⁰
223ₓ = 2x²+2x+3
Substituting back into the equation, 2x²+2x+3 = 87
2x²+2x+3-87 = 0
2x²+2x-84 = 0
x²+x-42 = 0
On factorizing:
(x²+6x)-(7x-42) = 0
x(x+6)-7(x+6) = 0
(x+6)(x-7) = 0
x+6 = 0 and x-7 = 0
x = -6 and 7
Hence the value of x is 7 (neglecting the negative value)
What is the range of the function f(x) = -4|x + 1| − 5?
Answer:
f(x) ≤ -5
Step-by-step explanation:
Answer: hoping the other guy was right lol
Step-by-step explanation:
Ben can type 25 words in half a minute. At this rate, how many words can he type in 5 minutes?
A student found the unit rate and solved the problem. The student’s work is shown below. Has the student answered the question completely?
StartFraction 25 words over One-half minute EndFraction = StartFraction 50 words over 1 minute EndFraction
No, the student should have divided the unit rate by 5.
No, the student should have multiplied the unit rate by 10.
No, the student should have multiplied the unit rate by 5.
Yes, the student found how many words he can type in 5 minutes.
Answer:
CCCC!!!!!
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Confidence Interval: What is the 95% confidence interval to estimate the population mean?
Answer: The 95% confidence interval to estimate the population mean describes a range of values that a person can be 95% sure that it contains the population mean.
Step-by-step explanation:
A 95% confidence interval for population mean ([tex]\mu[/tex]) is an interval on which a person can be 95% confident that the true population mean lies in it.
i.e. The probability that it contains the true population mean is 95%.
i.e. P( Sample mean- margin of error < [tex]\mu[/tex] < Sample mean + margin of error) = 0.95.
Name the image of C after a rotation of 180° about the origin.
Answer:
C'(-5, 2)
Step-by-step explanation:
Rule to be followed for a point rotated 180° about the origin,
(x, y) → (-x, -y)
From the figure attached,
When ABCD is rotated 180° about the origin, the new points of the image will be
A(2, 0) → A'(-2, 0)
B(4, 0) → B'(-4, 0)
C(5, -2) → C'(-5, 2)
D(1, -2) → D'(-1, 2)
Therefore, image of C will be C'(-5, 2).
In 2001, there were 68,490,000 households in the
United States subscribing to cable television ser-
vices. Round this number to the nearest million.
(Source: Nielsen Media Research-NTI)
Answer:
68,000,000
Step-by-step explanation:
Look at the hundred thousands place. If it's a 5 or higher you round up and if it's lower you round down. Since there is 4 in the hundred thousands place you round down. Everything to the right turns into a zero.
NEED HELP PLZ!! Use the definition, identities, and properties of imaginary numbers to simplify each of the following expressions. Match each item with its correct simplest form. 1. (i 3)5 2. -i 6 · i 3 · i -5 3. -(i 4) (i 0) (i 7) 4. (i 5 · i -2 · i 8)0 Choices: 1 -1 i -i
Answer:
-i, -1, i, 1
I think the previous answer is arranged in the order of correct answers, if that make sense. For example, next to -i, you would put 1.
Also, are you a member of Calvert? Because this layout looks familiar.
The required expressions with their correct simplest form, follow as:
1. (i³)⁵ = - i
2. - i⁶·i³·i⁵ = - 1
3. - (i)⁴·i⁰·i⁷ = 1
4. (i⁵·i²·i⁸)⁰= 1
What is a complex number?A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib,
where a, and b are real numbers and i is an imaginary number.
The expressions are given in the question, as follows:
1. (i³)⁵
= (i)¹⁵
= (i²)⁷ × i
As we know that i² = -1, where i is an imaginary number.
= (-1)⁷ × i
= (-1 ) × i
= - i
Similarly, further expressions are solved below.
2. - i⁶·i³·i⁵
= i⁶·i³·i⁵
= (i)¹⁴
= (i²)⁷
= (-1)⁷
= (-1)
= - 1
3. - (i)⁴·i⁰·i⁷
= - (i)¹¹
= - (i²)⁵ × i
= - (-1)⁵ × i
= - (-1 ) × i
= - (- i)
= 1
4. (i⁵·i²·i⁸)⁰
= ((i)¹⁵)⁰
= 1
Thus, the required expressions with their correct simplest form in the above solution part.
Learn more about the complex numbers here:
brainly.com/question/19007885
#SPJ5
Solve for x. x/r-8 +1/8=x+1/8-r
Answer: x=16
Step-by-step explanation:
fling
Find the slope of the line passing through the points (1,5) and (4,-2).
a. y=sin(x²+3x-1), differentiate y
b. x³+sinx, find third derivative
c. y={x+(1÷x)}², differentiate y
d. y=(5x–2)-², differentiate y
A.
[tex]y=\sin(x^2+3x-1)[/tex]
[tex]\implies y'=\cos(x^2+3x-1)(x^2+3x-1)'=(2x+3)\cos(x^2+3x-1)[/tex]
B.
[tex]y=x^3+\sin x[/tex]
[tex]\implies y'=3x^2+\cos x[/tex]
[tex]\implies y''=6x-\sin x[/tex]
[tex]\implies y'''=6-\cos x[/tex]
C.
[tex]y=\left(x+\dfrac1x\right)^2[/tex]
[tex]\implies y'=2\left(x+\dfrac1x\right)\left(x+\dfrac1x\right)'=2\left(x+\dfrac1x\right)\left(1-\dfrac1{x^2}\right)=2\left(x-\dfrac1{x^3}\right)[/tex]
D.
[tex]y=(5x-2)^{-2}[/tex]
[tex]\implies y'=-2(5x-2)^{-3}(5x-2)'=-10(5x-2)^{-3}=\dfrac{10}{(2-5x)^3}[/tex]
Perform 3ax (2x - ax + 5)
Answer:
Step-by-step explanation:
Multiply the monomial by each and every term of the polynomial
= (3ax) (2x) - (3ax) (ax) + (3ax) (5)
= 6ax^2 - 3a^2x^2 + 15ax