Answer:
Step-by-step explanation:
Darren has 84 DIMES and 144 PENNIES:
the ratio of dimes to penny=84/144=7/12
12 is GCF : 84/12=7, 144/12=12
Eugene has 63 DIMES and 112 PENNIES :
the ratio is 63/112=9/16
GCF of (63 and 112) is 7 : 63/7=9 , 112/7=16
7/12 = 0.58333 9/16=0.5625
7/12 is higher than 9/16
Darren has the higher ratio of DIMES TO PENNIES in his piggy bank
this can be solved by finding the percentage 7/12=0.5833=58.3% and 9/16=0.5625 which is 56.25%
The table represents the observed number of leaves y on x branches of a tree. Calculate the rate of change between 3 and 4 branches.
x y
2 42
3 75
4 100
5 119
What is the rate of change?
Answer:
25Step-by-step explanation:
The rate of change of number of tree y on x branches of a tree is expressed as shown;
m = Δy/Δx where;
m is the rate of change
Δy is the change in number of leaves between 3 and 4
Δx is change in number of branches between 3 and 4
m = Δy/Δx = y₂-y₁/x₂-x₁
From table between 3 and 4, y₂ = 100, y₁ = 75, x₂ = 4, x₁ = 3
m = 100-75/4-3
m = 25/1
m = 25
Hence the rate of change between 3 and 4 branches is 25
pls solve no;3a,b,c the picture will be
given thank u
use trigonometry u solve it
Answer/Step-by-step explanation:
3.a. length of AC.
Hypotenuse = AC
Opposite side to 60° = 7
Therefore, [tex] sin(60) = \frac{7}{AC} [/tex]
[tex] AC*sin(60) = \frac{7}{AC}*AC [/tex]
[tex] AC*sin(60) = 7 [/tex]
[tex] AC = \frac{7}{sin(60)} [/tex]
[tex] AC = 8.1 [/tex] (to nearest tenth)
b. Length of BC
Hypotenuse = BC
Opposite side to 50° = 7
Therefore, [tex] sin(50) = \frac{7}{BC} [/tex]
[tex] BC*sin(50) = \frac{7}{BC}*AC [/tex]
[tex] BC*sin(50) = 7 [/tex]
[tex] BC = \frac{7}{sin(50)} [/tex]
[tex] BC = 9.1 [/tex] (to nearest tenth)
c. Length of AB
Use the law of sines to find AB
[tex] \frac{BC}{sin(A)} = \frac{AB}{sin(C}} [/tex]
m<C = 180 - (60 + 50) (sum of angles in a triangle) = 70°
m<A = 60°
BC = 9.1
AB = ?
[tex] \frac{9.1}{sin(60)} = \frac{AB}{sin(70)} [/tex]
Cross multiply
[tex] 9.1*sin(70) = AB*sin(60) [/tex]
Divide both sides by sin(60)
[tex]\frac{9.1*sin(70)}{sin(60)} = \frac{AB*sin(60)}{sin(60)}[/tex]
[tex]\frac{9.1*sin(70)}{sin(60)} = AB[/tex]
[tex] 9.9 = AB [/tex] (nearest tenth)
[tex] AB = 9.9 [/tex]
Calculate the curved surface area of a cylindrical drum whose dimensions are diameter 5cm, height 30cm
Answer:
150[tex]cm^{2}[/tex]
Step-by-step explanation:
Curved surface area of a cylinder = 2[tex]\pi rh[/tex]
Radius=[tex]\frac{5}{2}\\[/tex]cm
Height=[tex]30[/tex]cm
Curved surface area of a cylinder=[tex]2\pi rh[/tex]
= 2 x [tex]\frac{5}{2}[/tex] x 30
= 150 [tex]cm^{2}[/tex]
Sahara bought 100 eggs for rs 1280. 15 of them were rotten for what rate should she sell it to get 10% profit.
Answer:
≈ Rs. 16.57
Step-by-step explanation:
Given:
Number of eggs bought = 100Cost price = Rs. 1280Profit required = 10%Selling price = ?SolutionMoney should be made to get 10% profit:
1280+10% = 1280*1.1= Rs. 1408Eggs left for sale:
100 - 15 = 85Selling price:
1408/85 ≈ Rs. 16.57 per egg(20 PTS) Can someone please tell me how did 1/2 became 3/6?
How many department stores have fewer than 60 pairs of boots?
Answer:
The answer is below
Step-by-step explanation:
The question is not correct, the correct question is:
The regional manager of a chain of department stores created the following stem-and-leaf plot showing the number of pairs of boots at each of the stores:
I 0 I
I 1 I 7 8
I 2 I 0 5 8
I 3 I 4 4 7 8
I 4 I 0
I 5 I
I 6 I
How many department stores have more than 60 pairs of boots
Answer:
The stem and leaf plot is a table which is used to represent a value with the first and other digit as the stem while the last digit is the leaf.
From the table attached, the first column is the stem and the remaining column are the leafs. Therefore from the table, below are the pairs of boots in different stores:
17, 18, 20, 25, 28, 34, 34, 37, 38 and 40.
All the store have fewer than 60 boots. This means that the number of stores with more than 60 pairs of boots is 0
m + 5 = 5
+ 5 can you guys help
Answer:
the answer would be 0 because 0+5=5
Juan owes his cousin, Benito, $10.00. Benito is tired of waiting for Juan to pay him back. To try and get Juan to pay up more quickly, Benito has decided to add $1.00 per day to the amount Juan owes him. Juan also owes his brother, Tavon, $15.00. Tavon liked Benito's idea of charging additional money, but because he is Juan's brother, decided he would only charge $.50 per day. Write and solve an equation that shows the number of days it will take for Juan to owe Benito and Tavon the same amount of money.
Answer:
wat???
Step-by-step explanation:
Answer:
Hope this will help you :)
Step-by-step explanation:
What is the height of Jack's house, in feet, if the house casts a shadow 56 feet long at the same time a 21-foot tree casts a shadow that is 24 feet long? Express your answer to the nearest whole number.
Answer:
49 feet
Step-by-step explanation:
We solve for this using proportion
Height of Jack's house = ?? = Y
Length of the shadow of Jack's house = 56 feet
Height of a tree = 21 feet
Length of the shadow of the tree = 24 feet
Height of Jack's house/ Shadow of Jack's house = Height of a tree/ Shadow of the tree
Y/56 = 21/24
Cross Multiply
24 × Y = 56 × 21
Y = 56 × 21/24
Y = 1176/24
Y = 49 feet
Therefore, the height of Jack's house is 49 feet
Use the graph of the function. Determine Over what interval(s) the function is positive or negative.
Answer:
I can't see the numbers well, but the graph is decreasing from (-inf, minimum) and increasing from (minimum, inf). The minimum is the vertex. Hope this helps!
Step-by-step explanation:
Use this information for problems 1 and 2. When full, one of the pools at Sapphire Island will hold 43,000 gallons of
water. The pool currently holds 20,000 gallons of water and is being filled at a rate of 130 gallons per minute.
Write an equation that can be used to find h, the number of hours it will take to fill the pool from its current level,
Answer:
(b)
Step-by-step explanation:
This is the answer of your questions if right give 5 star!!! and Mark as brainliesr
In the triangle below y=? Round to the nearest tenth
Answer:
51.3°
Step-by-step explanation:
Step 1: Use tan to find angle y
o = 10
a = 8
[tex]tan()=\frac{o}{a} \\tan(y)=\frac{10}{8} \\y = tan^{-1} (\frac{10}{8})\\y = 51.3[/tex]
Therefore angle "y" is 51.3° rounded to the nearest tenth
The shoe size for all the pairs of shoes in a person closet are recorded. what is the mean
Answer:
The mean size of the shoe is 7.
Step-by-step explanation:
We are given the shoe size for all the pairs of shoes in a person closet below;
X = 7, 7, 7, 7, 7, 7, 7, 7, 7, 7.
And we have to find the mean of the data.
Let X = shoe size for all the pairs of shoes
As we know that the mean of any discrete data is given by the following formula;
Mean, [tex]\bar X[/tex] = [tex]\frac{\text{Sum of all the observations}}{\text{Total number of observations}}[/tex]
Here, the number of observations = 10
= [tex]\frac{7+7+7+7+7+7+7+7+7+7}{10}[/tex]
= [tex]\frac{70}{10}[/tex] = 7
Hence, the mean size of the shoe is 7.
A closed cylindrical tank of radius 1.50m and height 300cm, is made from a metal sheet. How much sheet is required?
Answer: 13.5π≈42.41
Step-by-step explanation:
Basically it is asking for the circumference of this cylinder.
#1 Find the circumference of the circle base
Formula to use: 2πr
2πr=2π(1.5)=3π
---------------------------
#2 Find the area of the circle base
Formula to use: πr²
πr²=π(1.5)²=2.25π
--------------------------
#3 Find the area of body of the cylinder
Formula to use: lw
300cm=3m
l (length)= 3π (since the body of the cylinder the basing on the circumference of the circle base)
w (width)= 3
lw=3π×3m=9π
----------------------------
#4 Add all of them together
There are 2 base and one body
2.25π×2+9π=13.5π
Two lawn care companies are competing for a landscaping contract. Company A charges a $250 monthly consulting fee plus $10 per square foot, whereas Company B charges a $90 landscaping fee plus $12 per square foot. When will the two companies charge the same amount?
Let x be the no.of square feet for landscaping
Company A
Monthly consulting fee = $250
Cost of landscaping of 1 sq.feet = $10
Cost of landscaping of x sq.feet = $10x
So, Total charge by company A = 250+10x ---1
Company B
Monthly consulting fee = $90
Cost of landscaping of 1 sq.feet = $12
Cost of landscaping of x sq.feet = $12x
So, Total charge by company B = 90+12x ---2
Now we are supposed to find how many square feet of landscaping will the two companies charge the same amount
So, Equate 1 and 2
[tex]250+10x=90+12x\\160=2x\\80=x[/tex]
So, the two companies charge the same amount for 80 sq.feet
Total charge by company A for 80 sq.feet = 250+10(80)= $1050
Total charge by company B for 80 sq.feet = 90+12(90)=$1170
Leah rides her bike to school a total of 80.75 miles per week. The miles (m) she rides in one day can be calculated using the equation below.
5m=80.75
Answer: 16.15
Step-by-step explanation:
Divide by 5 on both sides
m=16.15
Suppose you want to buy a great pair of designer jeans that were originally priced at $95, but are now on sale for 10% off. When you buy the jeans, you need to pay sales tax of 10% on the sales price. How much will you have to pay for the jeans?
Answer:
$94.05
Step-by-step explanation:
Original price of jeans=$95
Discount=10%
New price=(100% - 10%) of $95
=90% × 95
=90/100 × 95
=0.9 × 95
=$85.5
Sales tax of 10%
10% of the new price
=10/100 × 85.5
=0.1 × 85.5
=$8.55
Sales tax =$8.55
Total amount paid for the jeans= sales tax + new tax
=$8.55 + $85.5
=$94.05
what are two characteristics of rational numbers?
Answer:The rational numbers includes all positive numbers, negative numbers and zero that can be written as a ratio (fraction) of one number over another. Whole numbers, integers, fractions, terminating decimals and repeating decimals are all rational numbers.
Step-by-step explanation:
Pls answer ASAP
Use the drop-down menu to answer the question. What property is the mineral in this image demonstrating? magnetism ,fluorescence, luster, or streak
Answer: fluorescence
Step-by-step explanation:
Answer:
fluorescence
Step-by-step explanation:
Evaluate the expression when a = 4 and y=-4.
-a + 6y
Answer:
-28
Step-by-step explanation:
insert the values
-a + 6y
-(4) + 6(-4)
-4 +(-24)
-4-24
-28
1 square root x times 4 square root x
Answer:
4√x
Step-by-step explanation:
4√x
Name the set(s) of numbers to which -1/3 belongs
Answer:
Rational numbersReal numbersStep-by-step explanation:
The number -1/3 belongs to the set of rational numbers.
A number -1/3 is given in the question.
We have to find out that this number belongs to which set of numbers.
What is a rational number ?
A rational number is one which can be expressed as fraction p/q of two integers where p is a numerator and q is a non-zero denominator i.e., q ≠ 0.
Let's check -1/3 belongs to which set,
We know that ,
Natural numbers are the counting numbers , so -1/3 can't be a natural number.
Also ;
-1/3 can't be a irrational number because as this number is a finite number.
Let's check if it is a rational number ;
We know that rational number can be expressed in form of p/q.
Hence ;
[tex]\frac{p}{q}[/tex] = [tex]\frac{-1}{3}[/tex] , where ; p = -1 and q = 3 i.e., q ≠0
Thus , the number -1/3 belongs to the set of rational numbers.
To learn more about set click here ;
https://brainly.com/question/18114925
#SPJ2
Can y’all help me I don’t wanna fail math❣️???!!!
Answer:
1/3
Step-by-step explanation:
3 pears / 9 apples
simplified: 3/3 / 9/9
= 1/3
Which pairs of angles in the figure below are vertical angles?
Check all that applies
Answer:
A and C
Step-by-step explanation:
What is 41 degrees below 0?
Answer: -41
Step-by-step explanation:
Answer:
41 degrees below 0 is -41
Point A is located at (-3, 2) and point B is located at (1, 8). What is the x coordinate of the midpoint?
Answer: Midpoint (xM, yM) = (4, 5)
If A = ½ bh, what is the value of A if b = 5 and h = 8? Please help!!!!
Answer: 20
Work: A = 1/2 bh
A = 1/2 (5(8))
A = 1/2 (40)
a = 20
plz mark brainliest
Answer:
A = 20Step-by-step explanation:
[tex]A = \frac{1}{2} bh [/tex]
when
b = 5
h = 8
Substitute the values of b and h into the above formula
That's
[tex]A = \frac{1}{2} (8)(5) \\ A = \frac{1}{2} \times 40 [/tex]
We have the final answer as
A = 20Hope this helps you
$150 in prize money is going to be split among 6 contestants in a competition at a charity event. The person in first place receives the most money, the person in second place receives the second most, the person in third place receives the third most, and so on. Did the person in second place receive at least $40 of the prize money? (1) The person in first place won $50 (2) No individual prize was within $10 of another prize
Answer: yes
Step-by-step explanation:
adding 50 40 30 20 10 and 0 gets you 150 so 2nd place gets 40
40 POINTS
Which equation represents the graph below?
10-
H>
10 х
-10
-5
5
in
-10
N
x + 2y = 6
-2x + y = 1
-2x + 4y = 8
2x + 4y = 8
Answer:
I can't understand how you wrote the question try writing it again so I can help
I can someone help me Solve for x.
Answer:
9
Step-by-step explanation:
They are similar triangles. Since 6 is 1.5 times the four, x has to be 1.5 times the 6.
6*1.5=9