Answer: 15 cm
Step-by-step explanation:
Given : The total height of all three of Thumbelina’s sisters is 60 cm.
The heights of the three sisters are in the ratio 4:3:5 .
Let the heights of the three sisters are 4x , 3x and 5x.
According to the question , we have the following equation :-
[tex]4x+3x+5x=60\\\\\Rightarrow\ 12x=60\\\\\Rightarrow\ x=\dfrac{60}{12}=5[/tex]
Now, the height of the shortest sister will be :-
[tex]3x=3(5)=15\ cm[/tex]
Hence, the height of the shortest sister = 15 cm
An animal shelter currently only has 30 dogs and 20 Cats. What is the ratio cats to animals?
Answer: 3:2
Step-by-step explanation:
Given : An animal shelter currently only has 30 dogs and 20 Cats.
i.e. Number of dogs = 30
Number of cats = 20
Then, the ratio of cats to animals is given by :-
[tex]\dfrac{\text{Number of cats}}{\text{Number of animals}}\\\\=\dfrac{30}{20}\\\\=\dfrac{3}{2} \ \ \text{[By dividing 10 in the numerator and denominator]}[/tex]
Therefore, the ratio of cats to animals = 3:2
Find the value of x using the given information. Then find the measure of
What is the solution to the inequality?
-2/3 (2x - 1/2)<= 1/5x - 1
I hope this is the answer you're looking for!
An architect notices that the scale on a blueprint he is using has been torn off. However, he sees that a 12.5-ft. wall that has been built is 5 in. long on the blueprint. What is the scale for this blueprint?
Answer:
The scale is : 1 in : 2.5 ft
Step-by-step explanation:
An architect notices that the scale on a blueprint he is using has been torn off.
However, he sees that a 12.5-ft. wall that has been built is 5 in. long on the blueprint.
Let the scale be x
[tex]\frac{5}{12.5} =\frac{1}{x}[/tex]
So, scale = [tex]x=\frac{12.5}{5}[/tex] = 2.5
So, the answer is : 1 in : 2.5 ft
Answer:
The scale is : 1 in : 2.5 ft
Step-by-step explanation:
pls make me brainliest
write and solve an equation to find the missing value:
Identify a pair of alternate exterior angles.
Answer: 1 ,5 and 2,6 (D is the correct answer)
Solve for b2: A=1/2(b1+b2)h
[tex]b_{2}[/tex] = [tex]\frac{2A}{h}[/tex] - [tex]b_{1}[/tex]
multiply both sides by 2 to eliminate the fraction
([tex]b_{1}[/tex] + [tex]b_{2}[/tex] )h = 2A
divide both sides by h
[tex]b_{1}[/tex] + [tex]b_{2}[/tex] = [tex]\frac{2A}{h}[/tex]
subtract [tex]b_{1}[/tex] from both sides
[tex]b_{2}[/tex] = [tex]\frac{2A}{h}[/tex] - [tex]b_{1}[/tex]
3x^2-28=2×^2+33 solving for x
The Turner family and the James family each used their sprinklers last summer. The water output rate for the Turner family's sprinkler was
25L
per hour. The water output rate for the James family's sprinkler was
15L
per hour. The families used their sprinklers for a combined total of
75
hours, resulting in a total water output of
1475K
. How long was each sprinkler used?
What’s -3r=1/2(32-8r)
It is safe to assume the goal is to solve for 'r'. To do so we need to isolate 'r'.
[tex]-3r = 1/2(32-8r)\\\\-3r = 16-4r\\\\r = 16[/tex]
Is this all right because my homework is tomorrow
Yeah, its all correct
It's all correct, but I'm not really sure about the drawing part because I can't see it all, although I think you did a great job :)
Peter went bowling, Monday to Friday, two weeks in a row. He only bowled one game each time he went. He kept track of his scores below.
What is the length of the hypotenuse of the triangle? 26 ft 34 ft 68 ft 74 ft
Answer: 26 ft.
Step-by-step explanation:
In the given picture, there is a right triangle.
The legs of the right triangles are 10 ft and 24 ft.
To find the length of hypotenuse, we use Pythagoras theorem, we get
[tex]H^2=10^2+24^2\\\\\Rightarrow\ H^2=100+576\\\\\Rightarrow\ H^2=676\\\\\Rightarrow\ H=\sqrt{676}\\\\\Rightarrow\ H=26\ ft[/tex]
Hence, the length of the hypotenuse = 26 ft.
Pythagoras theorem says that the square of the hypotenuseis equal to the sum of the squares of the other two sides.Find the missing number to complete this division fact. 63 ÷ ∎ = 9
Write an equation for :
She would put 1000.00 a year into an account starting on the babys 1st birthday
Hello Azzizigilchrist.
The equation of this question would be $1000x
x stands for the amount of years it has been
So if it has been 4 years, 1000 * 4 equals 4000
:)
The boat travels x miles per hour from one island to another island in 2.5 hours. The boat travels 5 miles per hour faster on the return trip of 2 hours. What is the distance between the island?
Find the common difference in the outputs to help find the missing outputs in the table
ɑ 5 6 7 8 9
b 3.8 4.6 5.6 ? ?
we have been given table containing 6 points.
let the numbers at question mark (?) are x and y respectivelly so we can rewrite the table as:
[tex]\left[\begin{array}{cccccc}a&5&6&7&8&9\\b&3.8&4.6&5.4&x&y\end{array}\right][/tex]
In the first row we see that numbers increase by 1 so that clearly means a=4.
Now we need to find the common difference in the outputs to help find the missing outputs in the table.
4.6-3.8=0.8
5.4-4.6=0.8
we are getting common difference of 0.8 so that means missing values can be found by adding or subtracting 0.8 as per their position.
b=3.8-0.8=3
x=5.4+0.8=6.2
y=6.2+0.8=7
Hence the final answer is given by table:
[tex]\left[\begin{array}{cccccc}4&5&6&7&8&9\\3&3.8&4.6&5.4&6.2&7\end{array}\right][/tex]
What is the difference ? X/x^2-2x-15-4/x^2+2x-35
x / x² - 2x - 15 - 4 / x² + 2x - 35
FIND THE FACTOR OF EACH DENOMINATOR
= x / (x-5)(x+3)
- 4 / (x-5) (x+7)
FIND THE LCD AND MULTIPLY EACH TERM TO ARRIVE AT THE SAME DENOMINATOR.
= x / (x-5)(x+3) *
(x+7) / (x+7) - 4 / (x-5) (x+7) * (x+3)/(x+3)
PERFORM SUBTRACTION
= x2 + 7x / (x-5) (x+3) (x+7) - (4x + 12) / (x-5) (x+7) (x+3)
= x2 + 7x – 4x – 12 / (x-5) (x+3) (x+7)
this would be your answer = x² + 3x – 12 / (x-5) (x+3) (x+7)
Answer:D
Step-by-step explanation: I just did it on edge
The transformation of triangle abc is an example of what
Final answer:
The transformation of triangle ABC is an example of a linear transformation that preserves lines and parallelism.
Explanation:
The transformation of triangle ABC is an example of a linear transformation.
A linear transformation is a transformation that preserves lines and parallelism. It transforms lines into lines and takes parallel lines to parallel lines.
For example, if triangle ABC is transformed into triangle A'B'C', the corresponding sides of the triangles will be parallel. Additionally, any lines within the triangle will remain lines after the transformation.
An item that is normally sells for $130 is marked down 30%. What is the sale price
To find the sale price of an item that is normally $130 with a 30% markdown, calculate the discount amount ($39) and subtract it from the original price to get a sale price of $91.
The question asks to calculate the sale price of an item after a 30% markdown. To determine the sale price, you have to first calculate the discount amount and then subtract it from the original price of the item. Here's how you do it:
Find the discount amount: original price x discount rate.Subtract the discount amount from the original price to get the sale price.For an item that is normally sold for $130 and is marked down 30%, the sale price can be calculated as follows:
Discount amount: $130 x 0.30 = $39.Sale price: $130 - $39 = $91.1/9(x+18)+1/3(2x+3)=x+3
First : Distributive Property
(1/9∙x)+(1/9∙18)
1/9x+18/9
(1/3∙2x)+(1/3∙3)
1/9x+2+2/3x+1=x+3
Second : Rearrange
1/9x+2/3x-x+3-2-1
Third : Solve! :D
-7/9x=0
7/9x=0
x=0
Which function has a domain of all real numbers except x=pi/2+_npi?
A. Y=cos x
B. Y=cot x
C. Y= 1/sinx
D. Y=sec x
The answer would be D. Y=secx
Hope this helps and good luck!
list all the number sets to which 2/3 belongs
2/3 belongs to a set of
* Rational numbers
* Real numbers
* Complex numbers
all at the same time
20 POINTS!!!!!!!!!! FIRST ANSWER OF BOTH GETS 5 STAR AND BRAINLIEST!
if f(x)=3x+1 Find the domain if the range x is 4 5 6
if f(x)=x+10 Find the domain if the range is x 10, 4, -6
f(x)=3x+1, range x={4,5,6} --> domain is a set of values {13, 16, 19}
f(x)=x+10, for x={10,4,-6} domain is a set of {4, 14, 20}
Please answer quickly thanks
A retiree invests 3,000 in a savings plan that pays 3% per year what will the account balance at the end of the first year
3000*.03= 90 so your balance would be 3000+90=$3090
convert 4 3/4 to an improper fraction:
to a decimal:
is this repeating or terminating a decimal?
4 3/4= 19/4=4.75 its a terminating decimal
Daniel is a singer, and he promises his agent that he will give him a 25% commission based on what he makes from a show. After paying the agent, Daniel takes home $120. Use the diagram to answer the following questions.
Daniel’s agent made .
Daniel and the agent made a total of from the show.
Answer:
Daniels agent made $40.
Daniel and the agent made a total of $160 from the show.
Step-by-step explanation:
Given:
Let the total amount made from the show = x
Daniel's agent made = 25% of x
Daniel made = $120
From the question, we know that the total amount is the sume of what daniel and the agent took.
So,
x = 120 + 25% of x
x-0.25x = 120
0.75x = 120
x = 160.
Hence the total amount made from the show is $120.
Daniel's agent made = 25 % of 160
= 0.25*160
= 40
Hence, Daniel's agent made $40 from the show.
Answer:
40
160
Step-by-step explanation:
[tex]( {x}^{3} + {x}^{2} + x + 2) \div ({x}^{2} - 1)[/tex]
[tex](x^3+x^2+x+2) divide by (x^2-1)[/tex]
We use long division to divide
There is no x term in x^2 -1 so we put 0x
x + 1
----------------------------
x^2+0x-1 x^3+ x^2 + x+ 2
x^3+0x^2-x
-----------------------------(subtract the bottom from top)
x^2 +2x + 2
x^2 +0x - 1
--------------------------------(subtract the bottom from top)
2x + 3
-----------------------------------------
Quotient : x+1
Remainder : 2x+3
Subtract. 405,000,000-1.7×10^8
405,000,000 - 1.7×10^8
= 4.05 × 10^8 - 1.7 × 10^8
= (4.05 - 1.7) × 10^8
= 2.35 × 10^8
Hope it helps