alex wants to buy the same number of stamps and envelopes dancer sold in packs of 14 and envelopes are sold and packs of 10 what is the lease number of each he could buy to have the same number of stamps and envelopes
Final answer:
To have the same number of stamps and envelopes, Alex would have to find the Least Common Multiple of 14 and 10, which is 70. Therefore, he should buy 5 packs of each.
Explanation:
Alex wants to buy the same number of stamps and envelopes, but they come in different pack sizes: stamps in packs of 14 and envelopes in packs of 10.
To find the least number of each he could buy to have the same number of each, we need to find the Least Common Multiple (LCM) of 14 and 10. The LCM of 14 and 10 is 70.
So, Alex would need to buy 5 packs of envelopes (since 70 divided by 10 equals 7) and 5 packs of stamps (since 70 divided by 14 equals 5) to have the same number of stamps and envelopes, which is 70 of each.
In mom's car, the number of miles driven is proportinal to the number of gallons of gas used.
Increasing W-4 allowances will ________ the net pay in your paycheck and ______ your total tax burden.
he average distance between Jupiter and the sun is 7.8 × 108 kilometers, and the average distance between the sun and Neptune is 4.51 × 109 kilometers. What is the approximate difference between these average distances?
Final answer:
The approximate difference between the average distances from the Sun to Jupiter and from the Sun to Neptune is approximately [tex]-3.71 * 10^9 km.[/tex]
Explanation:
The approximate difference between the average distances from the Sun to Jupiter and from the Sun to Neptune can be found by subtracting the average distance to Neptune from the average distance to Jupiter.
Average distance to Jupiter: 7.8 × 108 km
Average distance to Neptune: 4.51 × 109 km
Subtract the average distance to Neptune from the average distance to Jupiter:
[tex]= 7.8 * 10^8 km - 4.51 * 10^9 km[/tex]
= [tex]-3.71 * 10^9[/tex]
The approximate difference between the average distances is [tex]-3.71 * 10^9 km.[/tex]
A salesperson earns 17% commission on her total sales. If she sold $1530 last week, how much did she earn in commission ?
Triangle CAT is translated using the rule (x,y)→(x−3, y+4) to create triangle C'A'T'. If a line segment is drawn from point C to point C' and from point A to point A', which statement would best describe the line segments drawn?
The answer is: Parallel and congruent.
The sides of a triangle measure 64 mm, 3 CM, and 7 CM. What is the total leangth of the two longer sides?
The mechanic does 4 oil changes in 2 hours. How many oil changes can the mechanic do in 8 hours?
Answer:it will be 2
Step-by-step explanation:because you multiply it23457
A Factory processes 1,560 ounces of olive oil per hour. the oil is packaged into 24-ounces bottles. how many bottles does the factory fill in one hour
A package states that there are 60 calories in 12 crackers and 75 calories in 15 crackers. Since the relationship is proportional, how many calories are there in 180 crackers?
x | y
12 60
15 75
A. 36 calories
B. 108 calories
C. 720 calories
D. 900 calories
60/12 = 5
75/15 = 5
there are 5 calories per cracker
180 * 5 = 900 calories in 180 crackers
Answer is D
Barb had $112 in her savings account. Then deposited the same amount of money into her savings account in the next 4 months. Now she has $333 in her savings account. How much money,m, did Barb deposit each month?
WILL GIVE BRAINLESS
factor the polynomial
Answer:
D
Step-by-step explanation:
This is factor by grouping. In factor by grouping, write a quadratic trinomil as 4 terms and group by parenthesis. Then factor by GCF in each pair. If the two parenthesis match, the factoring has worked and the factors will be the GCFs as one and the parenthesis as one other.
The factors here are the GCFs [tex]2x^2[/tex] and -3 as [tex](2x^2-3)[/tex] and the parenthesis (x-5).
The price of a calculator has decreased from $200 to $150. What is the percent of decrease?
HELP ASAP 20 An online media service offers video and music downloads. Each download of a song costs $1. Each download of a video costs 6 times as much as the song download. You have a credit of $60. How many songs can you purchase after buying 7 videos?
The radius of a circle can be found by dividing the circumference of the circle by 6.28. What is the radius of a circle that has a circumference of 17.27 feet?
Answer:
23.55 feet
Step-by-step explanation:
write an equation of the line given its slope,m=3,and it's y-intercept b=10
A spherical balloon with radius r inches has volume defined by the function below. find a function that represents the amount of air required to inflate the balloon from a radius of r inches to a radius of r + 3 inches. (give the answer in terms of π and r.) v(r) = 4/3 pi r^3
A high school basketball team scores 85 points in a playoff game. The team leaders are Greg and Tremaine who scored a total of 38 points. If Tremaine scored 8 more points than Greg, how many points did Greg and Tremaine score individually?
Answer:
Total Points scored by team leaders are Greg and Tremaine=38 points
Let Points scored by Greg =x points
Then , Points scored by Tremaine =(x+8) points
So, writing the condition in equality form
x +x+8=38
2 x =38-8
2 x=30
Dividing both sides by ,2
x=15
Points scored by Greg =15 points
Then , Points scored by Tremaine =(15+8)=23 points
What is the factored form of 6x2 + 11x – 10? (2x + )( x – )
Answer:
[tex]6x^2+11x-10=(2x+5)(3x-2)[/tex]
Step-by-step explanation:
we are given
[tex]6x^2+11x-10[/tex]
We can factor it
[tex]6x^2+11x-10=6x^2+15x-4x-10[/tex]
we can use grouping method
[tex]6x^2+11x-10=(6x^2+15x)-(4x+10)[/tex]
now, we can take out common terms
[tex]6x^2+11x-10=3x(2x+5)-2(2x+5)[/tex]
we can take 2x+5 from both terms
[tex]6x^2+11x-10=(2x+5)(3x-2)[/tex]
so, we get factor terms as
[tex]6x^2+11x-10=(2x+5)(3x-2)[/tex]
The factored form of 6x² + 11x - 10 is: (2x + 5)(3x - 2)
Factorization of Algebraic ExpressionsGiven the algebraic expression, 6x² + 11x - 10, it can be factorized as shown in the steps below:
6x² + 11x - 10
6x² + 15x - 4x - 10
(6x² + 15x) - (4x - 10)
3x(2x + 5) - 2(2x + 5)
6x² + 11x - 10 = (2x + 5)(3x - 2)
Therefore, the factored form of 6x² + 11x - 10 is: (2x + 5)(3x - 2).
Learn more about factorization on:
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The exterior angles of a triangle measure x + 3, 2x + 1, and 3x - 4. Find the measure of each exterior angle.
A) 18°, 31°, and 41°
B) 23°, 41°, and 56°
C) 33°, 61°, and 86°
D) 63°, 121°, and 176°
Answer:
THE GOOD DAYS
Step-by-step explanation:
On st. Patrick's day, 3/5 of the students in Ms. pikes band class are wearing green . If there are 60 students in her class , how many of them are wearing green?
Name the property the equation illustrates.
8.2 + (–8.2) = 0
Answer:
The name of the property the equation illustrates is the Inverse Property of Addition.
Step-by-step explanation:
The Inverse Property of Addition says that if you add a number to the negative version of itself, the numbers will cancel out and the result will be 0. In other words, if you add 8.2 + (–8.2), the answer will always be 0.
What expression is equivalent to 3y - 21? A. 3(y - 21) , B. 3(3y - 21) , C. 3(3y - 7) , D. 3(y - 7) . Need help quickly! Thanks <3
PLEASE HELP WILL GIVE BRAINLIEST
Find the measure of SMK
A) 36°
B) 48°
C) 56°
D) 66°
The required measure of ∠SMK is 66° for the given figure.
What are supplementary angles?The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.
The figure is given in the question, as shown.
According to the given figure, we have
In triangle ΔAMS,
∠ASM + ∠SAM + ∠AMS = 180° (sum of the interior angle)
36° + 30° + ∠AMS = 180°
∠AMS = 180° - 66°
∠AMS = 114°
∠SMK + ∠AMS = 180° (Supplementary angles)
∠SMK + 114° = 180°
∠SMK = 180° - 114°
∠SMK = 66°
Thus, the measure of ∠SMK is 66°.
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Find the points of intersection of the line x = 3 + 2t, y = 7 + 8t, z = −2 + t, that is, l(t) = (3 + 2t, 7 + 8t, −2 + t), with the coordinate planes.
Which operation is NOT closed for polynomials ?
The operation that is not closed for polynomial is [tex]\boxed{{\text{Dividing binomials}}}.[/tex] Option (B) is correct.
Further explanation:
Given:
The given options are as follows,
(A). Adding binomials
(B). Dividing binomials
(C). Subtracting binomials
(D). Multiplying binomials
Explanation:
Consider the two polynomials [tex]x + 1[/tex] and [tex]2x + 4.[/tex]
Add the two polynomials [tex]x + 1[/tex] and [tex]2x + 4.[/tex]
[tex]\begin{aligned}{\text{Add}} &= x + 1 + 2x + 4\\&= 3x + 5\\\end{aligned}[/tex]
The result after adding is a polynomial. Therefore, adding binomials is a closed for polynomials.
After dividing the two polynomials [tex]x + 1[/tex] and [tex]2x + 4[/tex] the result is a rational expression.
Therefore, dividing binomials operation is not closed for polynomials.
Subtract the two polynomials [tex]x + 1[/tex] and [tex]2x + 4.[/tex]
[tex]\begin{aligned}{\text{Subtract}}&= 2x + 4 - \left( {x + 1}\right)\\&=x + 3\\\end{aligned}[/tex]
The result after subtracting is a polynomial. Therefore, subtracting binomials is a closed for polynomials.
Multiplying the two polynomials [tex]x + 1[/tex] and [tex]2x + 4.[/tex]
[tex]\begin{aligned}{\text{Multiplying}}&= \left( {2x + 4} \right)\times \left( {x + 1} \right)\\&= 2{x^2} + 2x + 4x + 4\\&= 2{x^2} + 6x + 4\\\end{aligned}[/tex]
The result after subtracting is a polynomial. Therefore, multiplying binomials is a closed for polynomials.
The operation that is not closed for polynomial is [tex]\boxed{{\text{Dividing binomials}}}.[/tex] Option (B) is correct.
Option (A) is not correct as the adding binomials operation is closed for polynomials.
Option (B) is correct as the dividing binomials operation is not closed for polynomials.
Option (C) is not correct as the adding binomials operation is closed for polynomials.
Option (D) is not correct as the adding binomials operation is closed for polynomials.
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Polynomials
Keywords: polynomials, function, dividing, subtracting, adding, multiplying, binomials, closed for binomials.
Maxine bought items costing $5.25, $18.99, $2.99, and $17.50. She used a coupon worth $5.50. If Maxine had $60.00 before she went into the store, how much did she have when she left?
What value of n makes the equation true?
0.7n+0.8n=2.1
n=3.60
n=3.15
n=1.40
n=0.60
callie spent 3/4 hour on a science report and 1/3 hour on a social studies report. What fraction of an hour longer did she spend on the science report ?
(5y - 1) + (-2y + 4)
5y-1 + -2y+4
combine like terms
5y-2y = 3y
-1+4=3
so you have 3y+3