The question is an illustration of parallel lines, and equivalent ratios
The length of pt is 11.7 cm
Given that:
[tex]pr = 7cm[/tex]
[tex]ts =3cm[/tex]
[tex]tq = 5cm[/tex]
This means that:
[tex]pr : ts = pt : tq[/tex]
Substitute values for pr, ts and tq
[tex]7cm : 3cm =pt : 5cm[/tex]
Express the ratios as fractions
[tex]\frac{7cm }{ 3cm }= \frac{pt}{5cm }[/tex]
Cancel out the common units
[tex]\frac{7}{ 3}= \frac{pt}{5cm }[/tex]
Cross multiply
[tex]3pt = 35cm[/tex]
Divide both sides by 3
[tex]pt = 11.7cm[/tex]
Hence, the length of pt is 11.7 cm
Read more about equivalent ratios at:
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PLZZ HELP!
Pete mixed 4 1/6 cups of popcorn with 3 5/6 cups of pretzels. He then divided the snack into bags with cups in each. After dividing, how many bags of snack bags will Pete have? ( btw it needs to be in fraction)
Answer:
3/10
Step-by-step explanation:
u divide the fractions and u got a decimal I change the decimal and got 3 so I changed it to a fraction and got 3/10
write the equation of the line given the two points. (4,-3) and (3,1)
Answer:
y=-4x+13
Step-by-step explanation:
y=mx+b
slope =
1--3/3-4
4/-1
-4/1
y-1=-4(x-3)
y-1=-4x+12
y=-4x+13
Answer:
[tex]y = -4x + 13[/tex]
Step-by-step explanation:
First, find the slope (denoted by the variable, m). Use the following equation:
slope [tex](m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1, y_1) = (4 , -3)\\(x_2, y_2) = (3 , 1)[/tex]
Plug in the corresponding numbers to the corresponding variables:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-3)}{3 - 4} = \frac{1 + 3}{-1} = \frac{4}{-1} = -4[/tex]
Use the slope-intercept form. The slope-intercept form is:
[tex]y = mx + b[/tex]
Use one of the given points to plug in for (x ,y). Also note that the slope (m) is equal to -4. Plug in the corresponding numbers to the corresponding variables:
[tex]y = mx + b\\(x , y) = (3 , 1)\\m = -4\\\\\\1 = (-4 * 3) + b\\1 = (-12) + b\\1 (+12) = b - 12 (+12)\\b = 1 + 12\\b = 13[/tex]
Plug in the slope (m) and the y-intercept (b) to get your equation:
[tex]y = -4x + 13[/tex]
~
Can you please help me with this question.
Answer:
I have helped you on the other question you asked. It's the same question.
Happy Birthday Jesus!
Don’t forget the true meaning of Christmas! May your day be filled with joy and many blessings! God bless <3
Answer:
fun fact
Step-by-step explanation:
I celebrate on christmas eve :)
german tradition
thanks and to you as well ^-^
hello please look in the comments
Answer: Alright, I did UnU
What is the surface area of the rectangular prism below?
Answer:
is 736 units
Step-by-step explanation:
my explanation is that I got it wrong because of the answer above of me an the right answer was 736 not 706
The surface area of the rectangular prism below with height as 8 units, length as 19 units and breadth as 8 units is A) 736 square units.
The surface area of a rectangular prism is the total area of all the faces of the prism. The rectangular prism below has 6 faces, each of which is a rectangle.
The area of a rectangle is given by:
area = length * breadth
The surface area of the rectangular prism is then given by:
surface area = 2 * (length * breadth + breadth * height + height * length)
Plugging in the values for the length, breadth, and height, we get:
surface area = 2 * (19 * 8 + 8 * 8 + 19 * 8) = 2 * (152 + 64 + 152) = 2 * 368 = 736 square units
Therefore, the surface area of the rectangular prism is A) 736 square units.
Here is a breakdown of the surface area of each of the faces:
Front face: 19 * 8 = 152 square units
Back face: 19 * 8 = 152 square units
Top face: 8 * 8 = 64 square units
Bottom face: 8 * 8 = 64 square units
Left face: 19 * 8 = 152 square units
Right face: 19 * 8 = 152 square units
The total surface area is the sum of the areas of all 6 faces, which is 736 square units.
To learn more about surface area here:
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X-Y=5, 6X-6Y =?
I think it's 30, but i don't know , I tried to think of a way and I thought about taking the 6 as a common and multiplying it to X-Y, Like :6(X-Y), and since X-Y =5 it'll be 30?
Answer:
Yes, it is 30
Step-by-step explanation:
And yes, you thought it through correctly. 6(X-Y) = 6*5
6(X-Y) = 30
Answer:
[tex]\displaystyle 6x - 6y = 30[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTerms/Coefficient
FactoringStep-by-step explanation:
Step 1: Define
Identify.
x - y = 5
Step 2: Solve
Factor: [tex]\displaystyle 6x - 6y = 6(x - y)[/tex]Substitute in expression: [tex]\displaystyle 6x - 6y = 6(5)[/tex][Order of Operations] Evaluate: [tex]\displaystyle 6x - 6y = 30[/tex]HELP QUICK PLS Which property is used in the following expression? (4 + 8) + 6 = 4 + (8 + 6) Associatve Property Commutitive Property Distributive property
the answer is distrubutive property
What are the parents points for the equation f(x) = 3^x?
Answer:
(0, 1) and (1, 2)
Step-by-step explanation:
[tex]{ \rm{f(x) = {3}^{x} }}[/tex]
• Assume f(x) is one
[tex]{ \rm{ {3}^{x} = 1}}[/tex]
• Apply logarithms:
[tex]{ \rm{x log(3) = log(1) }} \\ \\ { \rm{x = 0 }}[/tex]
• Assume f(x) is 2
[tex]{ \rm{x = \frac{ log(2) }{ log(3) } }} \\ \\ { \rm{x = 1}}[/tex]
Lalit got 50% in Hindi,75% in English and 90 marks in maths. The maximum marks in each subject were 100,140 and 160 respectively. Find his aggregate percentage
Answer:
61%Step-by-step explanation:
MARKS
% Max Actual
Hindi 50% 100 50
English 75% 140 105
Math 160 90
400 245 61%(245/400)
Please anyone help me
Answer:
cant tell what ths says
Step-by-step explanation:
Tim is 40 lbs less than his bother. If together they weigh 220, how much does Tim weigh?
Answer:
90lbs
Step-by-step explanation:
If Tim weights 90lbs, his brother must weigh 130lbs which add to make 220lbs
Is the relationship between the temperature scales proportional?Why or why not?
Answer: No, see explanation below
Step-by-step explanation:
For the relationship between the temperature scales to be proportional, the ratio (the number we get when dividing the given temperature in Celsius by the temperature in Fahrenheit) has to be constant.
[tex]\frac{0}{32}=0\\\frac{10}{50}=0.2\\\frac{20}{68}=0.29[/tex]
In the example, I give, we can see that is not the case. It applies to any value as well, therefore the relationship between the temperature scales is NOT proportional
If y is a positive integer, for how many different values of y is RootIndex 3 StartRoot StartFraction 144 Over y EndFraction EndRoot a whole number?.
The value of y will be 18 or 144.
Given information:
The given expression is [tex]\sqrt[3]{\frac{144}{y} }[/tex].
It is required to find the values of y which are whole numbers.
Now, factorize 144 as,
[tex]144=2\times2\times2\times2\times3\times3\\144=2^3\times2\times3\times3[/tex]
So, for the value of given expression to be a whole number, the value of y should be,
[tex]2\times3\times3=18[/tex] or 144.
For the above values of y, the given expression will be,
[tex]\sqrt[3]{\frac{144}{y} }=\sqrt[3]{\frac{144}{18} }\\=\sqrt[3]{8} =2\\\sqrt[3]{\frac{144}{y} }=\sqrt[3]{\frac{144}{144} }\\=\sqrt[3]{1} \\=1[/tex]
Therefore, the value of y will be 18 or 144.
For more details, refer to the link:
https://brainly.com/question/17429689
Answer:
Its B. 2
Step-by-step explanation:
Edge
What value(s) of x will make x2 = 25 true?
A. 5 and -5
B. 5
C. 5
D. 12.5 and -12.5
x^2 = 25
x = -5, 5
Check your work!
(-5)^2 = 25
(5)^2 = 25
Hope this helps! :)
Write a two- column proof.
Given: 3x = x + 12
Prove: x =5
Evaluate the expression when b=-4 and y=2.
2y-b
Plz help me with this question
Answer:
1422cm²
Step-by-step explanation:
Triangle:
First; 24 x 14 = 336
second: since there is 2 triangle u x 2
so its 672
-------------------------------------------------------------------------------------------------------
Rectangle:
third; 25 x 10 = 250
forth; since there is 3 rectangle u x3
so its 750
last u add all ur answer for triangle and rectangle and u get
-------------------------------------------------------------------------------------------------------------
672 + 750 =
1422cm²
If correct please give brainliest
Stay safe and healthy
Thank You
86,400 seconds into day.please
[tex]\underline\mathtt\colorbox{gold}{1 day}[/tex]
Step-by-step explanation:
1440 minutes, 24 hours or 1 day
Its easy to check - - - Divide 86400 by 60(to make into minutes) =1440 minFurther. Divide 1440 by 60 (to make into hours) =24 hrsNow who doesn't know that 24 hours is 1 day?what is the term to term rule for 2 6 18 54 162
Answer:
It's always × by 3
Step-by-step explanation:
2×3=6
6×3=18
18×3=54
54×3=162
A square with an area of 144cm is reduced by a factor of 1/3. How long are the new sides of the square?
Answer:
9.797. . .
Step-by-step explanation:
2/3 of 144 is 96
[tex]\sqrt{96} = 9.797...[/tex]
Which other congruency statements are correct?
Answer:
All are correct there are just disorganized.
ben's grandma gave him $75 in a new piggy bank. Ben will add $15 to his piggy bank each month. find x, the number of months Ben must add $15 until he has more than $225 in his piggy bank.
Consider the figure below. Write the equation of the line of reflection.
_____ = ______
Answer:
y = 0
Step-by-step explanation:
Look at triangle ABC. Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 2, 2, and C at ordered pair 4, 2. What is the length of side AB of the triangle? (1 point) a 3 b 5 c Square root of 6 d Square root of 13
The length of side AB from the given coordinate grid is; √20
How to find the length of the side of a triangle?The formula for distance between two coordinates is;
d = √((y2 - y1)² + (x2 - x1)²)
From the graph attached in the given brainly link, we have;
A(4, 5) and B(2, 1)
Thus;
AB = √((1 - 5)² + (2 - 4)²)
AB = √(16 + 4)
AB = √20
In conclusion, the length of side AB is √20
Read more about Triangle side length at; https://brainly.com/question/3673178
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what is the ratio of 9 boys and 6 girls in a class of 15 students
Answer:
3:2 i believe
Step-by-step explanation:
9:6
divide by 3
3:2
HELP FAST!!!! A parking garage charges $5 for the first hour, $10 for up to two hours, and $12 for the entire day. Let G be the dollar cost of parking for t hours. Is t a function of G? Explain your reasoning.
Answer:
27
Step-by-step explanation:
just do 5+10+12
SR1-2
Paula is standing on a bridge that is 110 above the water below. She throws a
pebble over the edge of the bridge, and it hits the top of a 24 foot high bridge
guard. The quadratic equation that models the path of the pebble is:
p(t) = –16t2 + 48t + 110
such that t is the time in seconds and p is the height of the pebble.
The time it will take the pebble to reach the maximum height is 1.5secs
Given the quadratic equation that models the path of the pebble expressed as p(t) = –16t^2 + 48t + 110
We can calculate the time taken by the pebble to reach the maximum height.
At maximum height, the velocity of the pebble is zero i.e. p'(t) = 0
p'(t) = -32t + 48
0 = -32t + 48
32t = 48
t = 48/32
t = 1.5secs
Hence the time it will take the pebble to reach the maximum height is 1.5secs
Learn more on velocity function here:https://brainly.com/question/25749514
-2,75 is greater or less than -2.5
Answer: less than s less than -2.5
Step-by-step explanation:
Answer:
-2.75 < -2.5
-2.75 is less than -2.5
Step-by-step explanation:
If we were to plot these numbers on a number line, it would look like the this:
<--- (-3) --- (-2.75) --- (-2.5) --- (-2.25) --- (-2) --->
When it comes to negative numbers, the "smaller" number is actually greater.
Therefore, -2.75 is less than -2.5.
Please I need help!!
1. Complete the gaps:
α) 2,3dm² = …......mm²
β) 4.670 mm² = m²
γ) 0,0054km² =................dm²
δ) 307,3 acre= km²
2. Complete the gaps:
a) 0,3m² =..........dm² =..............cm² = mm²
β) 0,056dm² =.............cm² = mm²
γ) 7,31 cm² = mm²
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BRAINLIEST ANSWER
Answer:
1a 2dm²= 20000mm² 3dm²=30000mm²
b 18898.8194926 m²
c 0.0054 km²= 540000 dm²
d 1.21931784007 km²
2a 30dm²=3000cm²=300000mm²
b 560cm²=56000mm²
c 7.31cm²=731mm²