Anna and Sam each want to run for president of their school's student body council. In order
to do so, they must collect a certain number of signatures and get a nomination. So far, Anna
has 20 signatures, and Sam has 25. Anna is collecting signatures at an average rate of 6 per
day, whereas Sam is averaging 5 signatures every day. Assuming that their rate of collection
stays the same, eventually the two will have collected the same number of signatures. How
long will that take?
Time
elapsed
Write a system of equations, graph them, and type the solution.
Answers
Answer:
6x+20=5x+25
5 days
Step-by-step explanation:
Let x = the days that they have the same amount of signatures
We know Anna has 20 currently and gets 6 per day, so we can use y=mx+b to describe her linear relationship.
We also know that Sam has 25 and gets 5 per day, so we can again use y=mx+b to describe his linear relationship.
Since both equations equal the variable y, we can say they equal each other and set up 6x+20=5x+25.
Then you subtract 20 from both sides and subtract 5x, so you are left with x =5, or 5 days until they have the same amount of signatures
Hope this made sense :D
Related Questions
solve similar triangles (advanced)
Answers
Answer: 18/7
This approximates to 2.5714
=====================================================
Explanation:
The two triangles are similar. We can use the AA (angle angle) theorem to prove this claim.
Because [tex]\triangle ABC \sim \triangle ADE[/tex], this means:
side AB corresponds to side AD. The letters from AB are the first two letters of ABC while AD are the first two letters from ADE.side BC corresponds to DE. We have BC as the last two letters of ABC and DE the last two letters of ADEAs those bullet points above mention, the order of ABC and ADE matters to allow us to pair up the corresponding angles and corresponding sides.
From that, we can form the proportion below to solve for x
AB/AD = BC/DE
3/(3+4) = x/6
3/7 = x/6
3*6 = 7*x
18 = 7x
7x = 18
x = 18/7
You could convert this to the approximate decimal form 18/7 = 2.5714, but I think it's better to keep it as a fraction.
A pilot flew a plane from an altitude of 16,400 feet to an altitude of 15,600 feet what was the change in altitude
Answers
Answer: 800 feet.
Step-by-step explanation: 16,400-15,600=800 this is an easier way the find the drop in altitude.
can someone help me with this asap, please and thank you (pic attached) *math*
Answers
Step-by-step explanation:
the "x-2" makes it shift by 2 to the right (functional values are created at x that "should have happened" at 2 x units before, so the whole graph moves to the right).
the 0.4 factor compresses it by the factor 0.4
the "-" at the beginning just "flips" (reflects) it to the other side of the x-axis.
Estimate and solve 2,352 ÷ 4 =
Answers
Answer
588 is the exact answer. Which is about 590 or 600.
Step-by-step explanation:
Can you help me with this please.
Answers
Answer:
c, i believe!!
Step-by-step explanation:
have a good day! <33
Answer:
t = 6n
Step-by-step explanation:
6 divided by 1 = 6
solve for z. -z+7=6 and thank you
Answers
Answer:
z = 1
Step-by-step explanation:
-z+7 = 6
so
7-6 = z
1 = z
good luck
Answer:
[tex]\huge\boxed{\sf z = 1}[/tex]
Step-by-step explanation:
-z + 7 = 6
Subtract 7 to both sides
-z = 6 - 7
-z = -1
Divide both sides by -1
z = 1
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807.
A pie company made 57 apple pies and 38 cherry pies each day for 14 days. How many apples pies does the company make in all?
How many cherry pies does the company make in all show your work ?
Answers
Answer:
798 Apple Pies 57x14
532 Cherry Pies 38x14
Step-by-step explanation:
150% of 45 less than 100, greater than 100 but less than 150. Or greater than 150?
Answers
Answer:
150% of 45 less than 100, greater than 100 but less than 150. Or greater than 150?
Answer:
Less than 100? YES
Step-by-step explanation:
150% of 45 less than 100, greater than 100 but less than 150, or greater than 150?
"150% of 45 "
150% (45)
1.5*(45) = 67.5
Less than 100? YES
Greater than 100 but less than 150 NO
Greater than 150? NO
0.66 pts
Sandy bought a pair of shoes on sale for 40% off the original price and an additional 25% off the discount price. If the shoes originally cost $60, what was the final cost, without tax, that Sandy paid for the shoes?
Answers
Answer:
The price is $27.00
Step-by-step explanation:
First you find 40% of 60 which is 24.
Next you subtract 24 from 60 (60-24) which equals 36.
Then you find 25% of the discounted price (36) which is 9.
Finally you subtract 9 from 36 (36-9) which is 27.
Conclusion:
So therefore the answer is $27.00.
I don't care if I get brainlyist just glad I could help :)
Combine like terms.
6p+ 15 + 10p - 9
A. 16p+ 6
B. 16p+ 24
Ос. бр +6
O D. 16p - 6
Answers
Answer:
i think A. 16p+6 is answer
Which expression is equal to the expression below ( 6.9)5
Answers
Answer:
270 or 34.5
Step-by-step explanation:
1. (6.9)= 54
54x5= 270
2. 6.9x5= 24.5
Hopes This Helps :)
HELP ASAP will give brainliest for answer
Answers
Answer:
This is the answer
x=π/10
a farm is sold for $457000, which gives a profit of 19%. Find the profit
Answers
Answer:
The profit is 86830
Step-by-step explanation:
To calculate percentage, just multiply the original number by the percent as a decimal. 457000x0.19=86830
Answer:
Profit: $73000
Step-by-step explanation:
Profit = Selling price (SP) - Cost price (CP)
First you need to find the CP
CP = (SP*100)/(100+Percentage profit)
SP= $457000
Percentage profit = 19%
CP= (457000*100)/(100+19)
CP= 45700000/119
CP= $384,033.6134
Profit = 457000-384,033.6134
Profit = $72966.3866
Profit rounded to the nearest 1,000 or the Thousands Place = $73,000
Hope this helps. Please give me the brainliest?
2(2c+12)=68
Using the opposite steps, inverse operations, solve for the value of the variable
Answers
[tex]\huge\boxed{Good\:evening!:)}[/tex]
2(2c+12)=68
4c+24=68
4c=68-24
4c=44
Divide both sides by 4:
c=11
[tex]\huge\boxed{Hence,\:the\:answer\:is\:11.:)}[/tex]
[tex]\huge\underline{Hope\:it\:helps!}[/tex]
[tex]\huge\sf{Good\:luck.}[/tex]
[tex]\boxed{DreamyTeenager\:here\:to\:help}[/tex]
Here is a balanced Hanger. Each triangle weighs 2.5 pounds, each circle weighs 3 pounds, and x represents the weight of each square. Select all equations that represent the hanger
Answers
Answer:
c if am wrong please correct me
Sherrod and Kamar are planning to drive at most 900 miles road trip. Sherrod drives at 60 miles per hour, and Kamar at 50 miles per hour. Let x represent the distance Sherrod drives and y represent the distance Kamar drives.
a. Write an inequality that represents the miles that Sherrod and Kamar drive.
b. GIve 2 possible combinations of miles that Sherrod and Kamar can drive that satisfy the inequality.
Answers
The inequality gives the total expected journey from the road trip, such that the time during which Sherrod and Kamar drives is known.
a. The inequality that represents the miles that Sherrod and Kamar drives is; x + y ≤ 900b. Two possible combination of x and y are; (600, 300) and (300, 600)Reasons:
a. The distance distance Sherrod and Kamar plan to drive ≤ 900 miles
Sherrod's speed = 60 mph
Kamar's speed = 50 mph
The distance Sherrod drives = x
The distance Kamar drives = y
a. The miles driven by Sherrod and Kamar is given by the inequality;
x + y ≤ 900b. Two possible combinations are;
First possible combination;
Sherrod drives for 10 hours, which gives;
Distance Sherrod drives = 60 mph × 10 hour = 600 miles
Kamar drives for 900 miles - 600 miles = 300 miles
Which gives;
Sherrod drives for 600 miles and Kamar drives for 300 miles
First combination; (600, 300)Second possible combination;
The second possible combination is Sherrod drives for 300 miles and Kamar drives for 600 miles
Second combination; (300, 600)Learn more about inequalities here:
https://brainly.com/question/22976364
A new health drink has 180% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 20 mg. How many milligrams of the vitamin are in the drink?
Answers
Multiply the percentage by the allowable amount:
180% = 1.80
20 x 1.80 = 36
Answer: 36 mg
PLS ANSWER QUICK I HSVE EXAMS COMING UP VERY SOON у
42) Which equation best represents the line of best fit for this
scatter plot?
A. y = 4x - 4
B.y= 4x-2
C. y = x-4
D. y=x-2
-5-4-3-
Answers
If we drew a line of best fit, the gradient would be roughly equal to 1, and the y intercept would be at around -4
Solve the system of equations using substitution?
Y=3x+1
Y+2=4x
Answers
nasa pick po yong answers
#CARRYONLEARNING
love y'all
someone help me with this still im stock on it plz
Answers
Answer:
a>4 or a < 8
Step-by-step explanation:
We can start with the inequality on the left
-a + 2(4+3a) > 28
expand using the distributive property
-a + 8 + 6a > 28
5a + 8 > 28
subtract 8 from both sides to isolate the variable and its coefficient
5a > 20
divide both sides by 5 to isolate a
a > 4
moving on to the inequality on the right
2a - (3a+4) > -12
treat the minus sign as a -1
2a + (-1)(3a+4) > - 12
expand
2a - 3a - 4 > - 12
-a - 4 > -12
add 4 to both sides to isolate a and its coefficient
-a > - 8
multiply both sides by -1 but change the sign because we are multiplying by a negative number
a < 8
What is the equation of the line that passes through the point (-5,1)(−5,1) and has a slope of -\frac{1}{5}−5
Answers
Answer:
Step-by-step explanation:
I will interpret "-\frac{1}{5}−5" as -(1/5).
We'll look for an equation by starting with the slope intercept format of:
y = mx + b,
where m is the slope and b is the y-intercept (the value of y when x=0).
We are given the slope of -(1/5), I think.
The equation becomes y = -(1/5)x + b
We want to find a value of b that will force the line to go through point (-5,1). Do this by putting this point into the equation we have thus far:
y = -(1/5)x + b
1 = -(1/5)*(-5) + b [point (-5,1)]
1 = 1 + b
b = 0
The equation becomes y = -(1/5)x + 0, or y = -(1/5)x
See the attachment.
3 1/8 - b = 1 3/4
how do I figure out what b is?
Answers
Mixed form: b= 1 3/8
Did not want to do the real math. Explanations are worth more than answer
Evaluate the expression when B = -4 and C = 6
C-8B
Answers
(6) -8(-4)
-8*-4 = 32
6+32 = 38
Remember PEMDAA
HELPPPP The volume for the above figure is
A. 7297 cm3
B. 817 cm2
C. 486 cm3
D. none
of the above
Answers
In \triangle KLM,△KLM, \overline{KL}\cong \overline{MK} KL ≅ MK and \text{m}\angle M = 43^{\circ}.m∠M=43 ∘ . Find \text{m}\angle L.m∠L.
Answers
Based on the definition of an isosceles triangle, the measure of angle L is: 43°
Recall:
An isosceles triangle has two side lengths that are equal in size, and also the angles opposite the equal sides are congruent.Given that KL ≅ MK in △KLM, it means △KLM is an isosceles triangle.
If m∠M = 43°, therefore, m∠M = m∠L (equal angles directly opposite KL and MK).
This implies that: m∠L = 43°
In summary, based on the definition of an isosceles triangle, the measure of angle L is: 43°
Learn more about isosceles triangle on:
https://brainly.com/question/11884412
Suppose that n is a positive number and Log10 n = q. Which expression always equals the value of Log10 n^2?
Answers
2q
Answer:
solution given:
[tex]log_{10} n=q[/tex]
now
[tex] Log_{10 }n^2=?[/tex]
by using property of logarithms
[tex]log_{a} n^p=p log_{a}n [/tex]
now
[tex] Log_{10 }n^2=2 Log_{10 }n[/tex]
=2q
since [tex]log_{10} n=q[/tex]
Step-by-step explanation:
Mrs. Jerry wants her twenty-five students to each have forty-eight buttons to make a craft project. Mrs. Jerry finds buttons in bags at a store. There are fifteen buttons in each bag. How many bags of buttons does Mrs. Jerry need to buy so she has exactly enough buttons for her twenty-five students? Show all your mathematical thinking.
Answers
Answer:
25X48=1200 buttons in all
1200 divided by 15 = 80
She needs to buy 80 bags which totals 1200 buttons
Step-by-step explanation:
Divide 1200 and 15
Answer: 80
Ben’s father is paying for a $20 meal he has a 50% off coupon for the meal after the discount a 7% sales tax is applied what does Ben’s father pay for the meal after the discount
Answers
50%= $10
Making $10 the new 100%
$10/100=0.1
0.1=1%
0.1x7=0.7
Meal after discount = $10.70
I think this is right? I hope it helped :)
Math help please
Thanks
A lot
Answers
Answer:
2 hours: 3968 [I don't understand the $ sign in the answer box]
At midnight: 12137
Step-by-step explanation:
The bacteria are increasing by 15% every hour. So for every hour we will have what we started with, plus 15% more.
The "15% more" can be represented mathematically with (1 + 0.15) or 1.15. Let's call this the "growth factor" and assign it the variable b. b is (1 + percent increase).
Since this per hour, in 1 hour we'll have (3000)*(1.15) = 3450
At the end of the second hour we're increased by 15% again:
(3450)*(1.15) = 3968.
Each additional hour add another (1.15) factor, If we assign a to be the starting population, this can be represented by:
P = a(1.15)^t for this sample that increase 15% per hour. t is time, in hours.
If a represents the growth factor, and P is the total population, the general expression is
P = ab^t
Using this for a = 3000 and b = 1.15, we can find the total population at midnight after starting at 2PM. That is a 10 hour period, so t = 10
P = (3000)*(1.15)^10
P = 12137
45 + 30 = 100 - w
Answer correctly luvs
Answers
Answer:
the answer is 25
Step-by-step explanation:
45+30=100-w
then your going to subtract 45 on both sides. So 100-45 is 55.
so now your equation looks like this
30 = 55 - w
subtract 55 on both sides so you will have -25 = -w. Then your going to divide -w on both sides and you will have positive 25
i hope thus helps