Answer:
First term = a = 125
Step-by-step explanation:
Question: find the number of shoppers on the first day
This is a geometric progression question
The sum of the terms = 671
Sum of a geometric sequence,Sn = (ar^n - 1) / (r - 1)
Where,
n = number of term in the sequence.
a = first term in the sequence.
r = common ratio
r = 1 + 20%
= 1 + 20/100
= 1 + 0.2
= 1.2
n = 4 (first 4 days)
Sn = (ar^n - 1) / (r - 1)
Sn = 671 where n = 4
671 = {a × 1.2^(4) - 1} / 1.2 - 1
671 = {a × 2.0736 - 1} / 0.2
671 = (2.0736a - a) / 0.2
671 = 1.0736a / 0.2
671 = 5.368a
Divide both sides by 5.368
a = 671 / 5.368
a = 125
Use the meaning of cube roots to show how to find an exact solution to the equation Ya + 2 =
- 2 without using a graph.
Answer: Coordinate plane, x, negative 2 to 2 by 1, y, negative 10
Step-by-step explanation: don't know just trying to help
A student was working on the problem below: Mr. Braun has $85.00 to spend on pizzas and soda pop for a picnic. Pizzas cost $11.00 each and the drinks cost $0.90 each. Four times as many drinks as pizzas are needed. What is the maximum number of pizzas that Mr. Braun can buy? The student began by writing the let statement: Let x = # of pizzas Then the student wrote the inequality: \displaystyle 11.00(x)+0.90(4x)\ge85.0011.00(x)+0.90(4x)≥85.00 The student made a MISTAKE. Describe the student's error and explain how you know it's wrong. (Do not solve the inequality.)
Answer:
11x + 0.90(4x) ≤ $85
Step-by-step explanation:
Let the number of pizzas be represented by p
Let the number of sodas be represented by s
Mr. Braun has $85.00 to spend on pizzas and soda pop for a picnic. Pizzas cost $11.00 each and the drinks cost $0.90 each.
$11 × p + $0.90 × s = $85
11x + 0.90y ≤ $85.......Equation 1
Four times as many drinks as pizzas are needed.
4p = s
We substitute 4p for s in Equation 1
11x + 0.90(4p) ≤ $85
What is the maximum number of pizzas that Mr. Braun can buy?
The maximum number of pizzas Mr Braun can buy =
11x + 0.90(4p) ≤ $85
The student's error has to do with the inequality sign. The student used greater than or equal to.
The correct sign is less than or equal to because Mr Braun has only $85 to spend.
Find the solution for the system of linear equations by substitution: y = 3x + 4 and y = x + 2. Explain how
you found the solution.
Answer:
(-1, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations by substitution/eliminationStep-by-step explanation:
Step 1: Define systems
y = 3x + 4
y = x + 2
Step 2: Solve for x
Substitute: 3x + 4 = x + 2Subtract x on both sides: 2x + 4 = 2Subtract 4 on both sides: 2x = -2Divide both sides by 2: x = -1Step 3: Solve for y
Define: y = x + 2Substitute: y = -1 + 2Add: y = 1And we have our answer!
Emily has 25 crayons and she gets 18 more how many crayons does she have now?
Answer: 43 crayons
Step-by-step explanation:
Diego is thinking of two positive numbers. He says, “If we triple the first number and double the second number, the sum is 34.”
Write an equation that represents this clue. Then, find two possible pairs of numbers Diego could be thinking of.
This is the answer, 10*3+2*2=34
Answer:
[tex]3x + 2y = 34[/tex]
Step-by-step explanation:
x= the first number
y= the second number
That is how I understood the problem...
write the inequality that best represents the relationship shown on this number line:
Answer:
-1 < = x < 6 [-1 , 6 )
Step-by-step explanation:
hope you got it.
How do you write 5.1 x 10^5 in standard form?
Answer:
510,000
Step-by-step explanation:
scientific form is what it was in
Answer:
its already in standard form. normal form would be 510000
Step-by-step explanation:
PLEASE HELP ME! please!
Answer:
yes addison is right because using distributive property would get you from "5 (x + 1) - 2x = 2 (3 + x)" to "5x + 5 - 2x = 6 + 2x". from there, you'd combine like terms and simplify. you get "3x + 5 = 6 + 2x". Subtract 2x on each side, and you get "x + 5 = 6". Subtract 5 on each side, you get "x = 1".
could anyone solve this equation
i)
[tex]8 - 3x = 23[/tex]
ii)
[tex]5x - 16 = 34[/tex]
iii)
[tex]2 - 5x = - 3[/tex]
x⁴-3x³+x-1 divided by x²+x-1
Answer:
Step-by-step explanation:
Please help I will really appreciate it
Step-by-step explanation:
Elevator's starting point = -90ft
Elevator's position after 15s = -20ft
The elevator did move upwards as
-20ft. > -90ft.
_________________________________
Distance covered by the elevator = -20 + -90
= -20 + 90
= 70ft.
Time = 15s
Speed = distance/time
= 70/15
= 4.7ft/s
For any number n>1, is
|(1/2 + 7/8i)^n|
a. Greater than 1?
b. Less than 1?
C.Equal to 1?
Answer:A
Step-by-step explanation:
|(1/2 + 7/8i)^n| is grater than 1.
What is complex number?A complex number is a number of the form a + bi, where a and b are real numbers ; This way, a complex number is defined as a polynomial.
Here, given that,
|(1/2 + 7/8i)^n|
where, n>1
then , we get,
|(1/2 + 7/8i)^n| is grater than 1.
To learn more on complex number click:
https://brainly.com/question/19467739
#SPJ2
Write the fraction in simplest form: 8/16 ASAP I was answering questions so I can get pants and now I need help pls
Answer:
The answer is 1/2
Step-by-step explanation:
hope that helps
8÷8=1
16÷8=2
So the answer is 1/2
Lin runs 5 laps around a track in 6 minutes If Lin runs 21 laps at the same rate, how long does it take her
Answer:
It would take her 25.2 minutes
Step-by-step explanation:
6 divided by 5 gives you the 1.2 minutes
Then I would do 1.2 minutes for each lap * 21 laps = 25.2 minutes
An ant crawls 14 cm down into an ant hole. It then crawls 6 cm up to the queens nest. What is the current location of the ant?
Answer:
8cm
Step-by-step explanation:
We subtract 14 from the location of the ant as it traverses down the hole
0 - 14
= -14
As the ant crawls up we at 6
-14 + 6
= -8
The answer would be 8 cm under elevation
What is the Lcm of 18 and 32
Answer:
The LCM of 18, and 32 is
Answer: The LCM is 288.
Step-by-step explanation:
To find the least common multiple of 18 and 32, you will find the multiples of 18 and 32 and look for least multiple number that matches 18 and 32.
Multiples of 18 are: 18,36,54,72,90,108,126,144,162,180,198,216,234,252,270,288
Multiples of 32 are: 32, 64,96,128, 160,192,224, 256, 288
The last digit 288 is the least multiple number that appears in both multiples for the two numbers.
Which of the following equations have no solutions?
Choose all answers that apply:
A
5x +5 = -4x - 5
B
- 4x + 5 = -4x - 4
C
-4x +5 = -4x - 5
D
4x + 5 = -4x + 5
If the base of a triangle is 20mm and the area of the triangle is 40m2. then what will be the height and how can we find it
Use the formula for area of a triangle:
Area = 1/2 x base x height.
Fill in what you know:
40 = 1/2 x 20 x height
Multiply both sides by 2:
80 = 20 x height
Divide both sides by 20
Height = 4 m
Answer: 4 mm
Step-by-step explanation: this is because if you double the area then you will get the Area of 80 and if you divide it by 20 you will get 4 mm
what is 90 percent of 20
Answer:
18
Step-by-step explanation:
What number is 90% of 20?
18
What is 90 percent (calculated percentage %) of number 20? Answer: 18.
Can someone please help with this ?
Answer:1/32
Step-by-step explanation:
Ratios and Scale Worksheet #1. What does it mean when a map of a park says its scale is 1 to 50? #2. If a pathway in this same park is 7 inches long on the map, how many inches is it in real life? #3. How many feet will this same pathway be in real life? #4. A model car is built at a scale of 1 to 67. If the model car is 5 inches long, how many inches is the actual car? #5. How many feet will this same car be in real life? #6. A driver is driving at a constant speed and drives 9 miles. It takes her 10 minutes to drive this far. What is her speed in miles per hour? Help me please, thank you.
Answer:
1. This means that the actual park size is 50 times larger than the size of the park on the map.
2. If a pathway is 7 inches long on the map, it will be 50 times larger in real life;
= 7 * 50
= 350 inches
3. 1 foot is 12 inches so 350 inches will be;
= 350/12
= 29.2 feet
4. The real life length of the car is;
= 5 * 67
= 335 inches
5. The real life length in feet is;
= 335/12
= 27.9 feet
6. Speed = Distance / time
The time should be converted to hours;
= 10/60 minutes
= 1/6
Speed = 9 / (1/6)
= 54 miles per hour
= 54 mph
Allen earns $260.50
doing yard work. He mows 8
lawns for $25
each and weeds gardens for $5.50
each. What equation can be used to find the number of gardens he weeds, w
?
3n + 7 - 2
Combing like terms
Answer:
Simplifying
3n + 7 + -2 = 0
Reorder the terms:
7 + -2 + 3n = 0
Combine like terms: 7 + -2 = 5
5 + 3n = 0
Solving
5 + 3n = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 3n = 0 + -5
Combine like terms: 5 + -5 = 0
0 + 3n = 0 + -5
3n = 0 + -5
Combine like terms: 0 + -5 = -5
3n = -5
Divide each side by '3'.
n = -1.666666667
Simplifying
n = -1.666666667
Step-by-step explanation:
Solve this multi step equation: 7j + 20 = 3j + 40
Answer:
j=5
Step-by-step explanation:
7j+20=3j+40
Step 1: Subtract 3j from both sides.
7j+20−3j=3j+40−3j
4j+20=40
Step 2: Subtract 20 from both sides.
4j+20−20=40−20
4j=20
Step 3: Divide both sides by 4.
4j/4
20/4
j=5
Answer:
j=5
Answer: j = 5
Solve this multi step equation: 7j + 20 = 3j + 40
First step: bring the numbers that don't have a variable on the other side of the equal sign.
7j - 3j = - 20 + 40
*TIP: REMEMBER: when you have a positive number, and you bring it on the other side of the equal sign, it becomes negative; same thing with a negative number. When you have a negative number, and you bring it on the other side of the equal sign, it becomes positive.*
Second step: Solve the equations on both sides.
4j = 20
Final step: (this step is easy) divide 20 by 4
20/4 = 5;
Therefore, j = 5.
Coach ray has 30 feet of ribbon to place on homecoming mums. If each mum requires .6 feet of ribbon, how many mums can she make?
Answer: 50
Step-by-step explanation:
hii, I would really appreciate it if you could help me out and answer this question. So this really isn’t a math question. You see I’m a 7th grader who got all A’s except for one C. I’m really worried that this C is going to affect me getting into a good high school especially since there going to be pay attention to my grades since we’re not taking the PSSA this year or any major tests. I also don’t know my gpa but at the bottom I’ll put my grades for the first marking period:
Health 7 - A (99.25%)
Mathematics 7 - A (99.75%)
Physical Education 7 - A (90.19%)
Reading 7 - A (98.14%)
Science 7 - A (100%)
Seminar - A (97.57%)
Social Studies 7 - A (100%)
Social Studies Enrichment- C (78.75%)
Spanish - A (98.8%)
Writing 7 - A (100%)
Writing Enrichment- A (99%)
Answer:
hi! i think you'll be ok, maybe ask your teacher if you can make up any work of do a project to get your grade up. teachers will more look at all you A's not that one C. :))
Step-by-step explanation:
Answer:
Hi!
Step-by-step explanation:
I think you will be okay! I calculated your average by adding all of them and dividing by the number of classes you are taking and it is still around a 96.5!! That is really good! If you are an overachiever like me, I understand that maybe you think it isn't your full potential, but trust me, it is a really good grade!! Whatever high school you are applying to (I'm not too sure how it works because I just went to my public highschool lol) will see you are taking a lot of classes and are doing phenomenal in all of them! I would try asking for extra credit or finding out if there is any way you can raise your grade, I do that when I am not happy with my grades. If you wanted to figure our your GPA out of 4.0 I think there are gpa calculators if you look them up. I hope this was helpful!
if the sum of two numbers is four and the sum of their squares minus three times their product is 76, find the numbers
Answer:
Numbers =(6,-2 )
Step-by step explanation:
Given
the sum of two numbers is four and the sum of their squares minus three times their product is 76,
Let the first term =X
Second term will be=4-x
So
X^2+(4-x)^2-3x(4-x)=76
x^2+16+x^2-8x-12x+3x^2=76
5x^2-20x+16=76
5x^2-20x-60=0
5(x^2-4x-12)=0
So x^2-4x-12=0
x^2-(6-2)x-12=0
x^2-6x+2x-12=0
X(x-6)+2(x-6)=0
(X-6)(X+2)=0
X=6,-2
Let X=6 and -2 then numbers will be 6 and (4-6)=-2
I need help pls !!!!
Step-by-step explanation:
9490 is the answer but just work it out see if u can get it
Natalia drove to her grandmother’s house for Thanksgiving. It took her 5 hours, for a total of 225 miles. What is her average speed in miles per hour?
Answer:
45mph
Step-by-step explanation:
225mi / 5hr = 45mph
please hurry and answer <33 !!!
Answer:
-17, -8
Step-by-step explanation:
if it reflects over the x-axes it only changes the y into positive or negative