Answers
Answer:
90°Step-by-step explanation:
Sum of angles in triangle equals to 180°
∠R = 180° - (∠S + ∠T)∠R = 180° - (29° + 61°) = 180° - 90° = 90°Related Questions
A container is filled with 100 grams of bird feed that is 80% seed. Tom and Sally want to mix the 100 grams with bird feed that is 5% seed to get a mixture that is 40% seed. Tom wants to add 114 grams of the 5% seed, and Sally wants to add 115 grams of the 5% seed mix. What will be the percent of seed if Tom adds 114 grams?
Answers
Answer:
Initially, we had:
100 grams of a mixture that is 80% seed, (or 0.8 in decimal form)
This means that the quotient between the mass of seeds and the total mass of the mixture is equal to 0.8
Then the mass of seeds, x, can be calculated as:
x/100g = 0.8
x = 0.8*100g
x = 80g
We also have another mixture, that is 5% seed (or 0.05 in decimal form)
This means that in X grams of this mixture, there will be y grams of seeds, such that:
y/X = 0.05
y = 0.05*X grams
Now, we want to create a mixture that is 40% seeds (or 0.4 in decimal form).
Let's do this.
If we add X grams of the 5% mixture, the total mass will be:
M = 100g + X.
The total mass of seeds will be:
m = 80g + X*0.05
and we want that the quotient between the mass of seeds and the total mass to be exactly 0.4
m/M = 0.4
(80g + X*0.05)/(100g + X) = 0.4
Let's solve this for X.
(80g + X*0.05) = 0.4*(100g + X)
80g + X*0.05 = 40g + X*0.4
80g - 40g = X*0.4 - X*0.05
40g = X*0.35
40g/0.35 = X = 114.2g
If we want the mixture to be exactly 40% seeds, we need to add 114.2g of the 5% mixture. (We already can see that Tom is closer to the exact result than Sally)
If we add 114g, like Tom wants, we will have:
M = 100g + 114g = 214g
m = 80g + 0.05*114g = 85.7g
m/M = 85.7g/214g = 0.4005
This is a really good aproximation, if we write this in percentage form this would be:
0.4005*100% = 40.05%
The LSN basketball team had 292 fans at a game. Adults paid $3.00 to get in and students paid $2.00. A total of $756.00 was collected. Write and solve a system of equations to determine the number of each type of ticket sold, use x to represent Adult tickets and y to represent Student tickets.
write an equation-
adult tickets sold-
child tickets sold-
Answers
Answer:
x (378) + y (378) =
Step-by-step explanation:
First i split 756.00 in half so basically what ever is multiplied by two to get 756 and i got 378. So since x = 3.00 and y = 2.00, it would come out to this:
3.00 x 378 = x (378) =
2.00 x 378 = y (378) =
So:
x (378) + y (378) =
im sorry if i got it wrong-
a(7x + 3) = b + 14x what are the values of a and b
Answers
Answer:
a= 2
b=6
Step-by-step explanation:
Follow me Please
what expression is equivalent to (2.1x+4.3) - (-3x-7)
Answers
help me: [tex]\int\limits^\pi _0 sin({x}) \, dx[/tex]
Answers
Answer:
[tex]\int^{\pi}_{0}sin(x)dx = 2[/tex]
Step-by-step explanation:
To solve for the value of [tex]\int^{\pi}_{0}sin(x)dx[/tex], we need to first find the antiderivative of [tex]sin(x)[/tex].
Since the derivative of [tex]cos(x)[/tex] is [tex]-sin(x)[/tex], therefore the derivative of [tex]-cos(x)[/tex] is [tex]sin(x)[/tex]. With this:
[tex]\int^{\pi}_{0}sin(x)dx = -cos(\pi)-(-cos(0))[/tex]
[tex]=-cos(\pi)+cos(0)[/tex]
[tex]=-(-1)+1[/tex]
[tex]=2[/tex]
∴ [tex]\int^{\pi}_{0}sin(x)dx = 2[/tex]
Hope this helps :)
Use the scatter plot of car resale values to answer the following question about making a prediction of the resale value of a
car.
Car Resale Values
100
80
60
40
20
10
Age of Car
Using the regression line, or line of best fit, predict the resale value of an 8-year-old car with an original cost of $15,000.
The 8-year-old car could be worth approximately $2000.
b The 8-year-old car could be worth approximately $5000.
The 8-year-old car could be worth approximately $3000.
d. The 8-year-old car could be worth approximately $4500.
Answers
Answer:
The 8-year-old car could be worth approximately $4500.
Step-by-step explanation:
answer on edge 2020
Answer:
C.the 8 year old car can be worth about 3000 just look at the graph
Step-by-step explanation:
#happycheating
A building is 50 feet tall and casts a 25 foot shadow. If Mark is 6 feet tall, how long would
his shadow be?
Answers
Answer:
Mark's shadow would be 3 feet.
Step-by-step explanation:
If a building is 50 feet tall and casts a 25 foot shadow, then the shadow of an object is 1/2 the length of the actual object.
This can be supported by the division problem:
50 ÷ 2 = 25
If Mark is 6 feet tall, then we need to divide 6 by 2 in order to find the length of the shadow.
6 ÷ 2 = 3
Therefore, Mark's shadow would be 3 feet.
Hope this helps! :D
My question is in the picture I tried to multiply -7 on both sides and got -147 I don't know if it's correct or if it's the right way to do it.
Answers
Answer:
-3
Step-by-step explanation:
-7b = 21
/ -7 / -7
b = -3
Answer:
-3
Step-by-step explanation:
Hope this helped have an amazing day!
can anyone please help!!!
Answers
Answer:
Question 9
(a) The distance, Jalaj walks in one day is 4.4 km
(b) The amount Jalaj raises after walking for 22 km at the end of the 5 days is $8
Question 10
(b) The difference between the largest and smallest areas is 2,400 m²
Step-by-step explanation:
Question 9
(a) The distance Jalaj walks in 5 days = 22 km
Whereby Jalaj walks equal distance every day, we have;
The distance, Jalaj walks in one day = 22 km/5 days = 4.4 km/day
The distance, Jalaj walks in one day = 4.4 km
(b) The amount he raises for every kilometer he walks = $1.60
The amount he raises after walking for 22 km at the end of the 5 days = 5 × $1.60 = $8
Question 10
(b) The given side length of the square = 120 meters to the nearest 10 meters
Therefore;
The maximum dimension for the side length of the square = 120 + 10/2 = 125
The largest possible area of the square, [tex]A_l[/tex] = 125 m × 125 m = 15,625 m²
The minimum dimension for the side length of the square = 120 m - 10 m/2 = 115 m
The smallest possible area of the square, [tex]A_s[/tex] = 115 m × 115 m = 13,225 m².
The difference between the largest and smallest areas, [tex]A_l[/tex] - [tex]A_s[/tex] = 15,625 - 13,225 = 2,400 m².
Billy wants to buy a $1250 drum set and the
music store has a deal where you can take it
home today for a 20% down payment and
then 3 years of monthly payments. How
much money will Billy need in order to make
the down payment?
..
Answers
Answer:
LOL i don't even know
Step-by-step explanation:
how do we find the value of y when x = 0
Answers
Answer:
both variables are just 0-
What is the turning point of the graph of f(x) = |x+3| -2?
(-3, -2)
(-2, -3)
(-3, 2)
(2, -3)
Answers
Answer:
(-2,-3)
Step-by-step explanation:
I took the test and got it wrong at first but seen the correct answer when I looked at my results.
The turning point of the function f(x) = |x+3| -2 will be (-3, -2).
What is an absolute function?The non-negative value of a real number x without regard to its sign is known as its absolute value or modulus in mathematics and is indicated by the symbol |x|.
Given that the absolute function is f(x) = |x+3| -2. When we plot the graph of the absolute function f(x) = |x+3| -2 it will give two straight lines the first line is on the left side and the second line is on the right side. The graph of the function changes its position at the coordinate ( -3,-2).
Therefore, the absolute function is having its turning point at the coordinate ( -3,-2).
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I need help setting the proportion !!!! ASAP
Answers
Answer: That looks like work what are u trying to find
Step-by-step explanation:
State whether the equation represents a linear or a nonlinear function. Explain y=7(x--8)
Answers
Answer: Is this for nine grade
Step-by-step explanation:
2-0
No
125/x?
Solve for variables
Answers
10 x 1 =10 0 x 0 =90 grorgi6
Mr. Green is putting lights around 8 windows;
each window is 1 and a half metres wide and
2metres long. How many metres of lights
Answers
Answer: 24 1/2
Step-by-step explanation:
Triangle A is reflected in the x axis to give triangle B, which is then reflected in the line y=x to give Triangle C. Draw Triangle C.
Answers
Answer:
The coordinates of triangle C on the grid are
(-5,4) , (-2,2) and (-2,4)
Step-by-step explanation:
We can identify the coordinates of the vertices of the triangles so as to get a diagram
For the first triangle, we have the following coordinates;
(4,5) , (2,2) and (4,2)
Now, let us get the coordinates of triangle B after reflecting triangle A in the x-axis
what we have in this case is that the x-axis coordinates stays same while the y-axis values are negated
Hence, the coordinates of triangle B are;
(4,-5) , (2,-2) and (4,-2)
Lastly we are to reflect triangle B in the line y = x so we get triangle C
A reflection over the line y= x means that we are going to switch the place of the x and y coordinates of the pre-image
So, the coordinates of triangle C are;
(-5,4) , (-2,2) and (-2,4)
The coordinates of triangle C are (-5,4) , (-2,2) and (-2,4)
From the given image the vertices of the triangles are
Triangle A has coordinates (4,5) , (2,2) and (4,2)
After reflecting triangle A in the x-axis, triangle B is obtained
On reflection in x-axis, the x-axis coordinates remain same while the y-axis coordinates become negative with the same magnitude.
Hence, the coordinates of triangle B are (4,-5),(2,-2) and (4,-2)
Now as triangle B is reflected by the line y = x to get triangle C, the x and y coordinates of triangle B are interchanged.
So, the coordinates of triangle C are (-5,4),(-2,2) and (-2,4)
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1. Martin was given 10 math problems, and he has answered 7 of them. what precent of problems does martin have left to do?
A) 3%
B) 7%
C) 30%
D) 70%
Answers
Martin still has 30% of the problems left to do.
Answer:
D)30%
Step-by-step explanation:
Round 347−−−√ to the nearest hundredth.
Answers
Answer:300
Step-by-step explanation:
PLZZ HURRY!!!
Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.
AngleJ = 90° AngleJ' = 90°
AngleK = 65° AngleK' = 65°
AngleL = 25° AngleL' = 25°
Which statement is true about this transformation?
It is a rigid transformation because the pre-image and image have the same corresponding angle measures.
It is not a rigid transformation because the corresponding side lengths are not equal.
It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.
It can be a rigid or a nonrigid transformation because a pair of corresponding angles measures 90°.
Answers
Answer:
It’s the third option
Step-by-step explanation:
They preserved the angles
Answer:
It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.
Step-by-step explanation:
edge 2020
Simplify each expression by combining like terms.
7a - 6 + 8a
Answers
=7a - 6 + 8
=7a + 8a - 6 =15a - 6
What is the average rate of change of f(x)=x²+4x+4 from x=1 to x=3?
Answers
Answer:
F(3) - F(1) / (3-1)
(3^2 + 3*4 + 4) - (1^2 + 1*4 + 4) / (2)
(9+12+4) - (1+4+4) / (2)
(25)-(9)/(2)
(16)/(2)
8
Step-by-step explanation:
For what value of the variable is each of the following fractions equal to zero: 2y +3/10
Answers
I think its 3/10=0.3
2×(-0.15)= -0.3
and -0.3+0.3=so variable value is -0.15
Answer:
2×-1,5+3
Step-by-step explanation:
Hope this helped have an amazing day!
I got 15, but apparently it isn’t the right answer. Help please!
Answers
if you subtract 32 - 12 you get 20 and add 6 + 11 + 3 = 20
The diameter of a wheel of a car is 0.75 m. if the car travels at an average speed of 14 m/s, find the
number of revolutions made by the wheel per minute, giving your answer correct to the nearest
whole number.
Answers
Step-by-step explanation:
Circumference of wheel = πd = 0.75πm.
How far the car travels per minute
= 60s * (14m/s) = 840m.
Hence number of revolutions per minute
= 840m / 0.75πm
= 356.507....
= 357. (nearest whole number)
2. Paige's sock drawer has 3 pairs of black socks, 6 pairs of green socks, and 1 pair of white
socks. If she picks a pair at random, what is the probability she will pick a green pair?
Help!
Answers
AnsweGreen socks
Step-by-step explanation: the is more green socks then black and even if she put in the green socks first the is a 90% chance of getting a black sock.
Answer:
1/10
Step-by-step explanation:
ok byeeee
A pack of 4 t-shirt costs $5. What is the unit price for a t-shirt?
Answers
4x5 = 20 , maybe it would be $20?
the ratio of North American butterflies to South American butterflies that a butterfly Park is 8:4 the ratio of South American butterflies the European butterflies is 4:2 there are 64 in North American butterflies in a butterfly Park part 1 out of 2 how many South American butterflies are there?
Answers
Answer:
5x - North American Butterflies.
3x - South American Butterflies.
5x = 30 (Divide By 5).
x = 6.
3x = 18.
3x - South American Butterflies.
2x - European Butterflies.
2x = 2 * 6 = 12
There Are 12 European Butterflies And 18 South American Butterflies.
Step-by-step explanation:
What is the constant in the following expression? -8x^2+17y+19
Answers
Answer:
(x + 2) • (x - 19)
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 1 • -38 = -38
Step-2 : Find two factors of -38 whose sum equals the coefficient of the middle term, which is -17 .
-38 + 1 = -37
-19 + 2 = -17 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -19 and 2
x2 - 19x + 2x - 38
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-19)
Add up the last 2 terms, pulling out common factors :
2 • (x-19)
Step-5 : Add up the four terms of step 4 :
(x+2) • (x-19)
Which is the desired factorization
there are 40 black balls this is 4 more than twice the number of yellow balls how many yellow boll are there
Answers
explanation: “40 black balls this is 4 more” so it’s “40-6=36”
and then “twice more” would be dividing in half so “36/2=18”
Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers. The number of yellow balls is 36.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
Given there are 40 black balls this is 4 more than twice the number of yellow balls. Therefore, we can write,
Number of black balls = Number of yellow balls + 4
40 = Number of yellow balls + 4
Number of yellow balls = 36
Hence, the number of yellow balls is 36.
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