The perimeter of Stephanie’s triangle is half the perimeter of Juan’s triangle. Juan’s triangle is shown. Write a numerical expression to describe the perimeter of Stephanie’s triangle.
The perimeter of a triangle is the sum of all side lengths of the triangle. The numerical expression for the perimeter of Stephanie's triangle is: [tex]\frac 12 \times 25[/tex]
Let the sides of Juan's triangle be x, y and z. So:
[tex]x = 5 \\ y = 8\\ z = 12[/tex]
The perimeter (J) of Juan's triangle is calculated by adding all sides.
So:
[tex]J =x +y +z[/tex]
This gives:
[tex]J =5 + 8 + 12[/tex]
[tex]J =25[/tex]
From the question, we understand that:
The perimeter (S) of Stephanie's triangle is half that of Juan.
This means that:
[tex]S = \frac 12J[/tex]
Substitute 25 for J
[tex]S = \frac 12 \times 25[/tex]
Hence, the numerical expression for the perimeter of Stephanie's triangle is: [tex]\frac 12 \times 25[/tex]
Read more about perimeters at:
https://brainly.com/question/11957651
A box of cereal states that there are 90 calories in 3/4 cup serving. How many calories are there in 4 cups of the cereal
Answer:
480
Step-by-step explanation:
Let x be the calories in 4 cups
Set it up
[tex]\frac{90}{\frac{3}{4}}=\frac{x}{4}[/tex]
Step 1: Switch sides
[tex]\frac{x}{4}=\frac{90}{\frac{3}{4}}[/tex]
Step 2: Apply fraction rule
[tex]\frac{x}{4}=\frac{90\cdot \:4}{3}[/tex]
Multiply
[tex]\frac{x}{4}=\frac{360}{3}[/tex]
Divide
[tex]\frac{x}{4}=120[/tex]
Step 3: Multiply both sides by 4
[tex]\frac{4x}{4}=120\cdot \:4\\\\=480[/tex]
There are 480 calories in 4 cups of the cereal.
Ethans solution and reasoning for solving an equation are shown below:
Given: 4/2x - 10 = 30
Which reason is incorrect?
(9th grade math Algebra 1)
Answer:
Reason 4 is wrong in Ethan's solution.
Step-by-step explanation:
Reason 4 is incorrect because at this step in the answer we already have one variable which is unknown on the left side and then one constant which can be seen on the right. So, instead of multiplying the fractions the way Ethan is doing, all you need to do now is just simplify the expression instead of complicating the step.
3(s-5)/4 -3 = 4s- (s-3)/2
pls answer fast
Answer:
[tex]s = \frac{9± \sqrt{ - 39} }{4} [/tex]
Step-by-step explanation:
[tex] \frac{3(s - 5)}{4 - 3} = \frac{4s \times (s - 3)}{2} [/tex]
➡️ [tex] \frac{3(s - 5)}{1} = 2s \times (s - 3)[/tex]
➡️ [tex]3s - 15 = 2 {s}^{2} - 6s[/tex]
➡️ [tex]3s - 15 - 2 {s}^{2} + 6s = 0[/tex]
➡️ [tex]9s - 15 - 2 {s}^{2} = 0[/tex]
➡️ [tex] - 2 {s}^{2} + 9s - 15 = 0[/tex]
➡️ [tex]2 {s}^{2} - 9s + 15 = 0[/tex]
➡️ [tex]s = \frac{ - ( - 9)± \sqrt{( - 9 {)}^{2} - 4 \times 2 \times 15} }{2 \times 2} [/tex]
➡️ [tex]s = \frac{9± \sqrt{81 - 120} }{4} [/tex]
➡️ [tex]s = \frac{9± \sqrt{ - 39} }{4} [/tex]
➡️ [tex]s∉ℝ[/tex]
select the correct answer
which of these mappings is a function
Answer:
B. X
Step-by-step explanation:
the other functions have same x and different y which makes them non existant
Which expression is equivalent to(2^3)^-5
Answer:
23
Step-by-step explanation:
Answer:
1/32
Step-by-step explanation:
First you must multiply the 3 and the -5 because the -5 is out of the parenthases. then you will get 2^-15. You cannot have a negative exponent so you chance it to 1/2^15. Then simplify to get the answer
If P={2,3,4} and Q={1,5} find and represent it in set builder form
Step-by-step explanation:
Solution,
P={2,3,4}
P={x:x ∈ N between 1 and 5}
Q={1,5}
Q={x:x ∈ factors of 5}
I hope you were asking for the same answer .
I hope it helped U
stay safe stay happy
If AB is parallel to cD and the slope of aD is -5, what is the slope of AB?
Answer:
-5
Step-by-step explanation:
According to formula:
m1 = m2
Since:
m2 = -5
∴ m1 = -5
Answer:
-5
Step-by-step explanation:
because -5 is parallel to AB
we are 5 red marbles a blue marbles and travel marbles in a bag separate rows are performed with the results and table what is the experiment property of randomly during green marble red pen blue 1228a what is the experiments of purposive random drawing green apple by does it sell it for profit of randomly drawn a green marble see what would you expect to happen if Mars has an experiment performed explain your reasoning using complete sentences
Answer:
elon musk
Step-by-step explanation:
he is a god on earth who drinks apples while eating tables in the milk ecosystem when hulk killed superman in washington-nigeria.
In 2001 there were 2,900,000 pupils in a primary school and by 2004 number had increased to 4200000 what was the percentage increase give your answer to the nearest whole number
Answer:
4.2M - 2.9M= 1300000
1.3/2.9x100= 44.83%
Answer:
59%
Step-by-step explanation:
2900000÷4200000× 100
8. Raul made four of his truck payments late and
was fined four late fees. The total change to his
savings from late fees was -$40. How much was
the one-time late fee?
find the value proportion :x : 35:98:60
Answer:
x/35=98/60
x=7/6
The value of x is 7/6
5, 317, 000 in scientific notation
Hi ;-)
[tex]5 \ 317 \ 000=\\\\=5,317\cdot1 \ 000 \ 000=\boxed{5,317\cdot10^6}[/tex]
Step-by-step explanation:
[tex]5317000 = 5.317 \times {10}^{6} \\ thank \: you [/tex]
Solve the system of linear questions by substitution
-3x + y = 1
4x + y = 8
Answer:
–3x + y =1
y= 1 +3x
4x + y =8 —> 4x + ( 1 + 3x ) = 8
7x + 1 = 8 —> 7x = 8 – 1 —> 7x = 7
x = 7/7 —> x = 1
y= 1 + 3x —> y = 1 + 3 (1) —> y = 1+ 3
y= 4
(x , y ) —> ( 1 , 4 )
I hope I helped you^_^
prove angle z = angle v
Answer:
Angle Z = Angle V (as it is already said that ZY = VY and their ending points are Z and V respectively
Step-by-step explanation:
angle z = angle v can be proved by the SAS (Side angle side) Property
XZ = TV (Given)
Angle Z = Angle V (as it is already said that ZY = VY and their ending points are Z and V respectively
ZY = VY ( Given )
Hayden had 2 1/2 gallons of water in his watering can. The seed packet said to use 1/4 of a gallon for peppers and 5/8 of a gallon for tomatoes. Hayden then used some of the water for lettuce. If Hayden had 3/4 gallons of water left over, about how much water did he use for lettuce?
Answer:
7/8
Step-by-step explanation:
1/4 + 5/8 = 2/8 + 5/8 = 7/8
= amount used for pepper and tomatoes
2 1/2 - 3/4 = 5/2-3/4 = 10/4 -3/4 = 7/4
= total amount used
so
7/4 - 7/8 = 14/8 - 7/8 = 7/8 for lettuce
6x-14(17+19x)=-11x+13
Help please.
Simplify: 5i/ 3 + 2i
Answer:
10+15i/13
Step-by-step explanation:
This question is about complex numbers.
so,
in this type of questions we have to multiply this fraction by the conjugate of the denominator
conjugate of the denominator is 3-2i
1) 5i(3-2i)/(3+2i)(3-2i)
2) 15i-10i^2/9-4i^2 ( we know that i^2 = -1 )
3) 15i+10/9+4
4) 15i+10 / 13
How to solve multi step equations
Answer:
x = –2
Step-by-step explanation:
– 6(1+4x) = –x +40
–6 – 24x = –x +40
24x –x = –6 –40
23x= – 46
x= – 46 / 23
x= – 2
I hope I helped you^_^
Find the unknown sizes of the angle
Answer:
b=58 ( vertically opposite angle)
58+65+x=180 (Beaing straight angle)
123+x=180
x=180-123
:.x=57
65+b+c=180 (beaing straight angle)
65+58+c=180
123+c=180
c=180-123
c=57
a=65 (beaing vertically opposite angle)
answer
:.b=57
:.c=57
:.a=65
Help me please broskies
5.6x+1.5=0.8x+25.5
What is x?
Answer:
x = 5
Step-by-step explanation:
Let me know if you need the work
The chorus sang for 27 minutes. If each song lasted an average of 412 4 1 2 minutes, how many songs did the chorus sing?
Answer:
It would be 15 songs if each song was 412 seconds, not minutes.
Step-by-step explanation:
A large power plant generates 7.1 gigawatts of electrical power.
A large power plant generates_watts of electrical power. (Use the multiplication symbol in the math palette as needed)
What fractional part of the bar is blue? ill mark brainliest!
Group of answer choices
1/6
2/6 or 1/3
3/6 or 1/2
4/6 or 2/3
Answer:
3/6 or 1/2
Step-by-step explanation:
⇒ out of 6 blocks 3 are shaded so, it will be 3/6
⇒ out of 6 blocks 3 are shaded (3 is half of 6) so, it will be 1/2
Answer:
Answer: 3/6 or 1/2
Step-by-step explanation:
Basically there are six bars and we are to find the fractional part of the blue bars. The fractional part of the blue bars is 3/6 or 1/2.
What is the slope between the points (5.-7) and
(–7.1)?
hi how to solve this question 3n-5;where n=-1
Answer:
[tex]3n - 5 \\ 3( - 1) - 5 \\ = - 3 - 5 \\ = - 8[/tex]
I hope I helped you^_^
Answer:
hope it's help you
Step-by-step explanation:
3(-1)-5 =-3-5 =-8
Y=DB-3 solve for d. These equations are still tricky for me.
Find the value of y and RT if S is between RT. RT = 7y + 7, RS = 11, and ST = 5y + 6.
Answer:
78
Step-by-step explanation:
show your work
A boy buys 2 packets each containing x biscuits. He eats 6 biscuits
How many biscuits does he have left?
Answer:
he have left 16 biscuits