You and your friend are selling magazine subscriptions. You sell 8 fewer magazine subscriptions than your friend. Together you sell 42 magazine subscriptions. a. Write a system of linear equations that represent the situation.
b. How many magazine subscriptions did you sell?
c. How many magazine subscriptions did your friend sell.
Answers
Answer:
b. you sold 17
c. your friend sold 25
Step-by-step explanation:
you=y your friend=x
y=x-8
42=x +y
42=x+(x-8)
42=x+x-8
42=2x-8
50=2x
25=x
Use x to solve for y...
y=25-8
y=17
Related Questions
An industrial arts teacher wants to cut a board that is 8.52 meters long into 4 equal pieces. How long will each piece be
Answers
Answer:
2.13m
Step-by-step explanation:
8.52 divided by 4 is 2.13 and you have to add the m for meters
I A bar of gold is 10 cm long,5 cm wide, and 7 cm high. What is it's volume?
Answers
Assuming the bar of gold has a rectangular form, its volume would be the product between all three dimensions.
\(A=10\operatorname{cm}\cdot5\operatorname{cm}\cdot7\operatorname{cm}=350\operatorname{cm}^3\)Therefore, the volume is 350 cubic centimeters.
Explained- Density of a substance refers to the mass of the substance per unit volume.
If sin 0º = 0, then csc 0°=
(check image)
Answers
Answer:
Step-by-step explanation:
sin(0) = 0/2
sin(30) = 1/2
sin(45) = \(\sqrt{2}\)/2
sin(60) = \(\sqrt{3}\)/2
sin(90) = \(\sqrt{4}\)/2
cos(90) = 0/2
cos(60) = 1/2
cos(45) = \(\sqrt{2}\)/2
cos(30) = \(\sqrt{3}\)/2
cos(0) = \(\sqrt{4}\)/2
notice that sin and cos repeat, but in reverse
the answer for your questions is in there.
State whether the following statement is true or false, and explain why. If the statement is false, state the true change.
If the price of avocados increases by 30% for four consecutive months, then the price of avocados increased by 120% over the four-month period.
Choose the correct answer below and fill in the answer box to complete your choice.
The statement is true because 4×30%=120%4×30%=120%.
The statement is false because each year there is a different reference value.
What percentage did the avocados increase by?
functions
equation editor
% (round to a tenth of a percent)
Answers
The statement is true because 4 × 30%=120
How to solve if the statement is trueIn the first month, the price of the avocado is said to have been raised by 30 percent.
While already raised by 30 percent, another 30 percent raise would make the increase to be 60 percent.
While is at 60 percent, the third month the raise would be = 90 percent because 30 * 3 = 90
Then at 90 percent if there is another raise of 30 percent, the increase would grow to be 120 percent.
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f(x)=(x-1)(x-2)(x-3)(x-4)(x-3)(x-2)(x-2)/[(x-2)(x-4)(x-2)]
Answers
Answer:
Step-by-step explanation:
(x-2)(x-2)(x-4)
Jennifer has watched 42 minutes of a movie, which is 20% of the movie. What is the total length in minutes of the movie?
Answers
Answer:
210
Step-by-step explanation:
20% is equal to 1/5
5*42 = 210
The movie is 210 minutes.
Answer: 210
5 x 42 = 210
What is the inverse of f(x)=9x-3
Answers
Answer:
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x9+13 f - 1 ( x ) = x 9 + 1 3 is the inverse of f(x)=9x−3 f ( x ) = 9 x - 3
Answer:
y = x + 3/9
Step-by-step explanation:
Change f(x) y = 9x-3Solve for y +3 +3
x+3 = 9y = y=x+3/9
HELP!!! I am having trouble understanding how to do these problems. Can someone please help explain how to complete these problems. Thank you so much!
1. Find the measure of <6.
2. Find the measure of <4.
Answers
Answer:
1=180 2=90
Step-by-step explanation:
1=∠1 and ∠2 are supplementary, so m∠2 = 180° - x°. ∠2 and ∠6 are corresponding angles. So, m∠6 = 180° - x°.
2=Their measures are equal, so m∠4 = 90 . When two lines intersect to form one right angle, they form four right angles.
Answer:
∠4 = 55°
∠6 = 35°
Step-by-step explanation:
Finding the unknown angles:In ΔABC,
35 + 90 + ∠4 = 180° {Sum of all angles of triangle}
125 +∠4 = 180
∠4 = 180 - 125
∠4 = 55°
Linear pair: If in two adjacent angles, the non-common arms form a straight line, then the two angles are called linear pair and they add up to 180.
∠7 + ∠8 = 180° {linear pair}
90 + ∠7 = 180°
∠7 = 180 - 90
∠7 = 90°
In ΔACD,
∠6 + ∠4+ ∠7 = 180 {Sum of all angles of triangle}
∠6 + 55 + 90 = 180
∠6 + 145 = 180
∠6 = 180 - 145
∠6 = 35°
what’s the distance between (2,8) and (-6,-2)
Answers
Answer:
Root
Step-by-step explanation:
Answer:
The distance between (2,8) and (-6,-2)
is √100+64
Step-by-step explanation:
There were 44 dogs and cats at the pet store if 75% were cats how many cats were at the pets store?
Answers
Answer:
33.
Step-by-step explanation:
75% x
100 44
x = (44 * 75 ) / 100 = 33.
1. find measure of A.
2. find measure of B.
3. find measure of C
4. find measure of D
pls give picture and explanation
Answers
Answer:
Measure of angle A = 120°
Measure of angle B = 98°
Measure of angle C = 104°
Measure of angle D = 140°
Step-by-step explanation:
Find measure angle A :-Since the two straight lines are parallel
, then A + 12X =180° (alternate angles)
, then A = 180° - 12X
Since the two straight lines are parallel
, then measure angle A = measure angle (25X-5)°
(opposite angles)
, then 180° - 12X = 25X - 5° (solve it like a normal equation)
, then 180° + 5° = 25X + 12X
, then 185° = 37X
, then X = 185° ÷ 37
= 5
, then measure of angle A = 180° - ( 12 x 5 )
= 180° - 60°
, then measure angle A = 120°
Find measure angle B :-Since the two straight lines are parallel
, then measure angle B = measure angle 14X (corresponding angles)
, then 15X - 7 = 14X
, then 15X - 14X = 7
, then X = 7
Since X =7
, then measure angle B = (15 x 7) - 7
= 105° - 7
, then measure angle B = 98°
Find measure angle C :-Since the two straight lines are parallel
, then measure angle C = 8X
(opposite angles)
, then 5X + 39 = 8X
, 39 = 8X - 5X
, 39 = 3X
, then X = 39 ÷ 3
, X = 13
Since X = 13
, then measure angle C = (5 x 13) +39
= 65 + 39
, then measure angle C = 104°
Find measure angle D :-Since straight that angle D lies on = 180°
, then sum of measure of and D and 4X =
180°
, then (12X + 20) + 4X = 180°
, then 16X + 20 = 180°
, then 16X = 160° (resulting from 180° - 20°)
, then X = 10
Since X = 10
, then 12 x 10 + 20 = 120 + 20
,the measure angle D = 140°
The Bluejay Apartments is a new development and is in the process of structuring its lease agreements. The company would like to set the damage deposits high enough that tenants will keep the apartments in good condition. The company is actually more concerned about damage than about tenants not paying their rent.
a) Discuss the tax effects of the following alternatives:
i. $1,000 damage deposit with no rent prepayment�
ii. $500 damage deposit and $500 rent for the final month of the lease
iii. $1,000 rent for the final two months of the lease and no damage deposit
b) Which option do you recommend
Answers
Answer:
The Bluejay Apartments
1. Tax Effects of the following Alternatives:
i. $1,000 damage deposit with no rent prepayment
No tax will be paid by The Bluejay Apartments until the deposit will no longer be refunded.
ii. $500 damage deposit and $500 rent for the final month of the lease
Tax will be paid on the rental income of $500 and on the $500 if it will no longer be refunded. If it is taken as part of the rent income for a month, then tax will be paid on a total income of $1,000.
iii. $1,000 rent for the final two months of the lease and no damage deposit
Tax will be paid on the rent income of $1,000.
b) From a tax point of view, option i is recommended.
Step-by-step explanation:
According to the IRS, a security or damage deposit is not taxable when it is received by the landlord. It becomes taxable income when the landlord is no longer obligated to return it to the tenant. The reason a damage deposit is not taxed is that it is recorded as an asset and not an expense or income.
Number 4 on 5.5 6th grade
Answers
Answer:
Sayyy "Gold Diggerrrrrrr"Step-by-step explanation:
Girl: "what I am not a freakin gold diggerrr I just like moneyyy"
Girl: "what I am not a freakin gold diggerrr I just like moneyyy" Hooman: Say "ChEeZe"
Girl: "what I am not a freakin gold diggerrr I just like moneyyy" Hooman: Say "ChEeZe" Girl: dances on lambo showing too much..
Girl: "what I am not a freakin gold diggerrr I just like moneyyy" Hooman: Say "ChEeZe" Girl: dances on lambo showing too much.. Hooman: Good Good You're a perfect picture of a gold digger.
Girl: "what I am not a freakin gold diggerrr I just like moneyyy" Hooman: Say "ChEeZe" Girl: dances on lambo showing too much.. Hooman: Good Good You're a perfect picture of a gold digger. Girl: "my outfit matches your carr"
Girl: "what I am not a freakin gold diggerrr I just like moneyyy" Hooman: Say "ChEeZe" Girl: dances on lambo showing too much.. Hooman: Good Good You're a perfect picture of a gold digger. Girl: "my outfit matches your carr"Hooman: it does
Girl: "what I am not a freakin gold diggerrr I just like moneyyy" Hooman: Say "ChEeZe" Girl: dances on lambo showing too much.. Hooman: Good Good You're a perfect picture of a gold digger. Girl: "my outfit matches your carr"Hooman: it doesHooman: too bad you're a gold digger and digging to much for gold.
write 321x64 in long muliplication
Answers
3 2 1
× 6 4
————————————-
+ 1 2 8 4
+ 1 9 2 6 0
————————————-
= 2 0 5 4 4
Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have
side lengths 1 cm?
Add the lengths of the horizontal and vertical segments, and then subtract 5 because the diagonal side is 4 units
wide and 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then subtract 3 because the diagonal side is 4 units
wide but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 3 because the diagonal side is 4 units wide
but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide
and 2 units tall.
Answers
The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;
Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
What is an estimate of an amount?An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.
Please find attached a diagram of the possible figure created with MS Word
The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;
Base length = 5 units
Height = 4 units
The figure has a diagonal side which is 4 units wide and 2 units tall.
The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5
The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
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11. Find the missing dimension of the rhombus.
(Hint: Use the formula A = bh.) (Lesson 1)
Answers
Answer: The missing dimension of the rhombus in the given figure is Height of rhombus h h=A/b=90/15= 6cm. so missing dimension is h=6cm
What is Dimension ?
In general, dimension refers to the measurement or size of an object, space, or quantity along a particular axis or direction. In mathematics, dimension refers to the number of coordinates needed to specify a point in a space.
What is Rhombus ?
A rhombus is a type of quadrilateral (a four-sided polygon) in which all four sides are of equal length. It is a special case of a parallelogram in which the opposite sides are parallel to each other, and its opposite angles are equal.
In the given question,
area of rhombus is A=b*h so it can be rewritten as h=A/b by substituting values given in question we get h= 6cm
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Two common names for streets are Fourth Street and Main Street, with 14,593 streets bearing one of these names.There are 443 more streets named Fourth Street than Main Street. How many streets bear each name?
Answers
Let
x ----> number of streets that bear Fourth Street
y ----> number of streets that bear Main Street
we know that
x+y =14,593 --------> x=14,593-y -----> equation 1
and
x=y+443 ------> equation 2
Solve the system of equations
Equate both equations
14,593-y=y+443
solve for y
2y=14,593-443
2y=14,150
y=7,075
Find out the value of x
x=y+443 ---------> x=7,075+443=7,518
therefore
Fourth Street: 7,518 streetsMain Street: 7,075 streetsSuppose that the mean score for the mathematics test cited in Problem 7 is 610. What is the probability that a random sample of 225 students will have a mean score of more than 625
Answers
Reference from question 7 :
Standard deviation (σ) = 120
Standard Error = 8
Answer:
0.0304
Step-by-step explanation:
Sample size (n) = 225
Sample mean = 625
Population mean = 610
Using the relation :
Z = (sample mean - population mean) / σ/√n
Z = (625 - 610) / (120/√225)
Z = 15 / (120/15)
Z = 15 / 8
Z = 1.875
P(mean score of more than 625)
P(Z > 1.875) = 1 - p(Z < 1.875)
p(Z < 1.875) = 0.9696
P(Z > 1.875) = 1 - p(Z < 1.875) = 1 - 0.9696 = 0.0304
Sergey is solving 5x2 + 20x – 7 = 0. Which steps could he use to solve the quadratic equation by completing the square? Select three options. 5(x2 + 4x + 4) = –7 + 20 x + 2 = Plus or minus StartRoot StartFraction 27 Over 5 EndFraction EndRoot 5(x2 + 4x) = 7 5(x2 + 4x + 4) = 7 + 20 5(x2 + 4x) = –7
Answers
The steps Sergey could use to solve the quadratic equation by completing the square is 5(x2 + 4x) = –7
How to use the completing the square method?We should know that in completing the square method both sides of the equation are made perfect squares.
The given equation is 5x²+20x-7=0
Solving this equation by completing the square method we have
5(x²+4x+4)=-7
This means that (x+2)=±√27/5
Simplifying further we have
5(x²+4x)=7
Then expanding to make ²HS a perfect square we have
5(x²+4x+4)=7+20
This means that 5(x²+4x)=-7
Therefore the step he could use is 5(x²+4x)=-7\
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How many factors in the number 21 and is the number 21 a Prime or Composite?
Answers
Answer:
The prime factors of number 21 are: 3, 7 Determined equcation for number 21 factorization is: 3 * 7 Prime Factors Of 20 Prime Factors Of 22
Step-by-step explanation:
Answer:
it is a prime because the component is 20 because of the surrounding of the lower numbers
Step-by-step explanation:
you have two skip count till 21 and gets a beginner amount of numbers
R
A card is drawn from the pack of 52 cards. This experiment is repeated
10 times. The probability distribution is given below. Find the expected
value.
X
P(X)
1
1/10
2
3/10
.3
4/10
4
2/10
Qu
5.4
6.5
O 2.7
15
Answers
Answer: 2.7
Step-by-step explanation:
(1)(1/10)+(2)(3/10)+(3)(4/10)+(4)(2/10)=2.7
Ruby has 20 oranges. If she eats 3/5 of them, how many does she have left.
Answers
Answer:
She has 12 oranges left
Step-by-step explanation:
convert 3/5 to a decimal
3÷5=0.6
then multiply that by 20
0.6*20=12
Remember to do the opposite operation of what you see in the equation.
4x=16
Answers
x=16/4=4 is the answer if u need any explanation please comment
hope it helps
Answer:
x=4
Step-by-step explanation:
4x = 16
Divide each side by 4:
x=4
If PR=40, what are PQ and QR?
Answers
Answer:
B
Step-by-step explanation:
I did it in my head but pretty much just add the 5x-2 and x+ 12 then set it equal to 40. u get x = 5. plug x back in and you get 23 and 17
Answer:
The answer is B
Step-by-step explanation:
5x - 2 + x + 12 = 40
6x + 10 = 40
6x = 30
x = 5
5(5) - 2
25 - 2
PQ = 23
(5) + 12
QR = 17
Carlos invests $4540 at a rate of r% per year compound interest.
At the end of 10 years he has earned $1328.54 in interest.
Calculate the value of r.
Answers
Answer:
Initial balance$1000
interest rate 8%
Term 20yrs
Step-by-step explanation:
The final balance is $4,926.8.The total compound interest is $3,926.8.
The value of r is 2 %.
What is simple & compound interest?Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.
Given:
Principal(P)= $4540
Rate = ?
Time=10 years
CI=$1328.54
We have to find the value of r.
According to given question we have
By the use of compound interest we have
\(CI=p((1+\frac{r}{100} )^{10} -1)\\\\1328.54 =4540 ((1+\frac{r}{100} )^{10} -1)\\\\\0.292= ((1+\frac{r}{100} )^{10} -1)\\\)
After simplifying we get,
r=2 %
Therefore, the value of r is 2 %.
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can someone help me
1.3x-338
Answers
Answer:
Equivalent expressions are expressions which are equal. This means they simplify to the same expression. Simplify the two expressions -1.3x - (-8.9x) = 7.6x and -1.3 + (-8.9X) = -10.2x.
Then simplify each option to determine if it is equal -1.3x - (-8.9x), -1.3 + (-8.9X) or neither:
−1.3x−8.9x = -10.2x. This is equivalent to -1.3 + (-8.9X) .
8.9x+(−1.3x) = 7.6x This is equivalent to -1.3x - (-8.9x) .
−8.9x+(−1.3x) = -10.2x This is equivalent to -1.3 + (-8.9X) .
8.9x−(−1.3x) = 10.2x Neither
−1.3x+8.9x = 7.6x This is equivalent to -1.3x - (-8.9x) .
−8.9x+1.3x = -7.6x Neither
Step-by-step explanation:
Awnser queation
1.
2.
3.
Answers
Answer: 1 is 1/2 2 is .50% or .5 3 is 36
Step-by-step explanation:
Choose the inequality that represents the following graph.
A x<-5
B x≤-5
C x>-5
D x≥-5
Answers
Answer:
x > -5, so the correct answer is C.
Solve the equation and keep it in exponent-based form.
Answers
Answer:
Step-by-step explanation:
Anything raised to zero = 1
\(a^{0} = 1\\\\a^{m}*a^{n} =a^{m+n}\\\\\dfrac{a^{m}}{a^{n}}=a^{m- n}\\\)
In exponent multiplication, if base are same, just add the powers.
In exponent division, if bases are same, subtract the powers.
\((a^{m})^{n} =a^{m*n}\)
\((3^{-2}* 4^{-5}*5^{0})^{-3} * \left(\dfrac{4^{-4}}{3^{3}} \right)^{3}*3^{3} \\\\\\= (3^{-2}* 4^{-5}*1)^{-3} * \left(\dfrac{4^{-4}}{3^{3}} \right)^{3}*3^{3}\\\\\\= 3^{-2*(-3)} *4^{-5*(-3)} * \dfrac{4^{-4*3}}{3^{3*3}}*3^{3}\\\\\\=3^{6}*4^{15}*\dfrac{4^{-12}}{3^{9}}*3^{3}\\\\\\= 3^{6+3-9}* 4^{15+(-12)}\\\\=3^{0}*4^{3}\\\\=1*4^{3}\\\\=4^{3}\)
let a be an mn matrix. determine whether the statement below is true or false. justify the answer. the nullity of a is the number of columns of a that are not pivot columns.
Answers
The given statement that the nullity of a is the number of columns of a that are not pivot columns is true.
what is know as nullity of a matrix?
A matrix's nullity is the dimension of A's null space, also known as the kernel of A. Null space (A) = 0 if A is an invertible matrix. The rank of a matrix is the number of non-zero eigenvalues of the matrix, and the number of zero eigenvalues determines the nullity of the matrix.Given that:
The nullity of A = \([a_{ij} ]_{m * n}\) is the number of A that are not pivot columns.
The given statement is true.
Since the rank of A is equal to the no . of . columns which have pivot and nullity of A is equal to the no .of . columns which does not have pivot positions.
We know that ,
Rank A + nullity A = No . of . columns of A
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