Answer:
(2, - 4 )
Step-by-step explanation:
Given the 2 equations
10x + 7y = - 8 → (1)
7x + 7y = - 14 → (2)
Subtract (2) from (1) term by term to eliminate y
(10x - 7x) + (7y - 7y) = - 8 - (- 14) , that is
3x = 6 ( divide both sides by 3 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
10(2) + 7y = - 8
20 + 7y = - 8 ( subtract 20 from both sides )
7y = - 28 ( divide both sides by 7 )
y = - 4
solution to the system of equations is (2, - 4 )
The sum of the speeds of two trains is 723.1 miles per hour. If the speed of the first train is 10.9 mph faster than that of the second train, find the speeds of each.
What is the speed of the first train?
9514 1404 393
Answer:
367 miles per hour
Step-by-step explanation:
The speed of the faster train is half the total plus half the difference:
s1 = (723.1 +10.9)/2 = 367 . . . . miles per hour
_____
Check
The slower train is 367-10.9 = 356.1, and the total is 723.1 mph, as required.
_____
If you want an equation, you can let x represent the faster speed. Then the total is ...
x + (x -10.9) = 723.1
2x = 723.1 +10.9
x = (723.1 +10.9)/2 = 367
A cell phone is on sale at $35
more than half of the regular
price. The sale price is $140.
Determine the regular price of the
cell phone.
Answer: v=210
Step-by-step explanation:
Now that we know how much 1 pound costs, we can determine how much 9 pounds will cost.
What would be the cost of 9 pounds of salmon?
$0.94
$76.50
$17.50
$0.50
help asap plzzzzzz
Answer:
76.5
Step-by-step explanation:
pleaseeeeee help again
I willl give brainliest
HI hru
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the surface area?
Answer:
1/2×4×2×6+8×5×3=144cm²
Tesfa is x years old. his father is 4 times as old as Tesfa. Her mother is 7 years younger than his father. If their three ages add up to 101 years, how old is Tesfa?
tesfa = x
dad = 4x
mom= 4x-1
x+4x+4x-1=101
9x+1=101
9x=100
100/9= 11.1
The people of Bridgetown wanted to build a bridge across a nearby river. Since they were poor swimmers, their master Trigonomos agreed to measure the width of the river without actually crossing it. Trigonomos spotted a tree across the river and marked the spot directly across from it. Then he walked to another point 151515 meters down the river and found that the angle between his side of the river and the line connecting him to the tree was 76^\circ76 ∘ 76, degrees. What is the width of the river?
Answer:
60.16 m
Step-by-step explanation:
Let w = width of river
Using trigonometry :
The width, w of the river is can be calculated thus :
Tan θ = opposite / Adjacent
Tan 76 = w / 15
4.0107809 = w / 15
w = 15 * 4.0107809
w = 60.1617 m
Hence, width of the river is 60.16 m
ANSWER ASAP DUE TODAY
Find the measure of the marked acute angle to the nearest degree.
A) 25
B) 30
C) 120
D) 60
Answer:
B) 30
Step-by-step explanation:
An acute angle is an angle that is more than 0° but less than 90°. Common examples of acute angles include: 15°, 30°, 45°, 60°, etc.
Brainlist Pls!
Answer:
B
Step-by-step explanation:
solve for x plezzzzzz
Step-by-step explanation:
x-5 = 12
X = 17
hope this helps
this is to do with independant events & probability trees
There is a bag filled with 3 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 reds?
Answer: The probability of getting two red marbles is P = 0.141
Step-by-step explanation:
We know that in the bag there are 3 blue marbles and 5 red marbles, then there is a total of 8 marbles in the bag.
The probability of taking at random a red marble is equal to the quotient between the number of red marbles and the total number of marbles, this is:
p = 3/8
Suppose we got a red marble:
Now we replace the red marble we took, so in the bag there are again 3 red marbles and 8 total marbles, then the probability of getting another red marble is again:
q = 3/8
The joint probability (this is, the probability of both events happening) is equal to the product of the individual probabilities, with gives us:
P = p*q = (3/8)*(3/8) = 9/64 = 0.141
a) − 5 ( 6 n + 6 ) ≤ 30
b) 8 v − 4 ( v − 8 ) > 8
Answer:
a) n ≥ -2
b) v > -6
Step-by-step explanation:
You did not state what you would like us to do with these. I will assume simplify.
a)
− 5 ( 6 n + 6 ) ≤ 30 first, distribute -5
-30 n + -30 ≤ 30 now, add 30 to both sides so we may isolate n our variable
-30 n ≤ 60 now, divide -30 on both sides so we may isolate n completely. When we do this, the sign changes direction
n ≥ -2
b)
8 v − 4 ( v − 8 ) > 8 first, distribute -4 (note: two negatives equal a positive)
8 v - 4v + 32 > 8 now, simplify
4v + 32 > 8 now, subtract 32 from both sides
4v > -24 now, divide both sides by 4 to isolate v
4v > -24
v > -6
Hope this helps! Please make brainliest <3
How many 1/9s are in 30?
Answer:
3,34
Step-by-step explanation:
mark me please thanks
what is 3876153 x 46 =?????????
Answer:
178,303,038
Step-by-step explanation:
Multiply it
Or put it into a calculator
The set for a school play needs a replica of a historic building painted on a backdrop that is 20 feet long and 16 feet high. The actual building measures 320 feet long by 256 feet high. A stage crewmember writes (x, y) arrow right ( 1/20 x, 1/20y) to represent the dilation. Is the crewmember's calculation correct if the painted replica is to cover the entire backdrop? Complete the explanation.
Answer:
Stage crewmember's calculation is incorrect
Correct = 1/16x 1/16y
Step-by-step explanation:
Given that:
Dimension of backdrop : 20 feets long ; 16 feets high
Actual dimension of building : 320 feets long ; 256 feets high
The correct scale factor can be obtained thus :
Ratio of backdrop dimension to the actual dimension of building
Length : 20 / 320 = 1 /16
Height : 16 / 256 = 1/16
Hence, stage crewmember's calculation of (1/20x ; 1/20y) is incorrect.
................ 9 kg 9 g = .....kg
Answer:
Step-by-step explanation:
9009g = 9kg 9g
aaa help please
8(y + 3) – 3y
Answer:
What are we trying to find?
Step-by-step explanation:
Answer:
=5y+24
Step-by-step explanation:
Distribute:
=(8)(y)+(8)(3)+−3y
=8y+24+−3y
Combine Like Terms:
=8y+24+−3y
=(8y+−3y)+(24)
=5y+24
cual es el factor de 10?
Answer:
Step-by-step explanation:
1,2,5
mencioné tres aparatos tecnológicos que hacen su diseño o utilicen para su fun
cionamiento ruedas de fricción
How would you use math outside of school?
What do you mean? Like what do you mean doing math outside?
algebra 1. please help me. i’m literally struggling , i’ll give an extra 50 points if it’s right and brainliest. - question in picture
please don’t use me for points i really need help, i’m already failing and so stressed
Answer:
15x² - 3x - 7
Step-by-step explanation:
(12x² + 2x) - (-3x²+ 5x + 7)
First open the parentheses by applying the distributive property.
To do this, multiply each term you have inside (-3x⅔ + 5x + 7) by -1.
Thus, you would have the following:
12x² + 2x + 3x² - 5x - 7
Add like terms
12x² + 3x² + 2x - 5x - 7
15x² - 3x - 7
Someone please help I want to double check PLEASEEEEE HELLPPPP
Answer:
correct
Step-by-step explanation:
1. There are 6 feet of ribbon in a roll. Samantha uses 3/4 foot pieces of ribbon to decorate gifts. How
many gifts can she decorate with one roll of ribbon?
Write an equation (with solution) to represent
this problem
Answer: 8
Step-by-step explanation:
take 72 inches and divide it by 9 inches and you will have the answer
On a map drawn to scale, 5 cm represents 30 kilometers. If a line a the same map that connects 2 cities is 7 cm long, what is the distance between the 2 cities?
Answer:
42
Step-by-step explanation:
You can use proportions to solve this problem.
[tex]\frac{5cm}{30km}[/tex]=[tex]\frac{7cm}{xkm}[/tex]
Now just cross multiply.
5cm*Xkm=7cm*30km
you can simplify the cm and km since its multipying.
5x=210
x=42
I really need help with this question I’m taking a test it’s urgent !!
Answer:
EF = 10
Step-by-step explanation:
QUICK
9/15 = 6/x
x=10
find the marked angles . Some construction may be necessary
Step-by-step explanation:
126 / 2 = 63 because the circular angle is 1/2 of the center angle
if the cost of 1 pen is 15.75, find the cost of 7 pens
Answer:
110.25
Step-by-step explanation:
Cost of 1 pen = 15.75
Cost of 7 pens = 15.75 × 7 = 110.25
Answer:
$110.25
Step-by-step explanation:
1 pen = $15.75
7 pens x $15.75 = $110.25
(this pen is expensive t.f)
I will give branliest if u hellp me plz ASAP Find the next three terms of the sequence.
–2, –12, –72, –432, …
Answer:
-2592, -15552, -93312
Step-by-step explanation:
Just multiply the number by 6
Answer
-2,592
Step-by-step explanation:
Each number of the sequence is multiplied up by 6
-2x6= -12, -12x6= -72, -72x6= -423. To get your solution you do -432x6 = -2,592
PLEASE HELP ASAP 30 POINTS!!! WILL GIVE BRAINLIEST!!
1. In the first step of proof, the left-handed side of the following identity is factored. Which fundamental identity is used in the second step of the proof?
2. Simplify the expression. csc^2x-1/1+sinx
1. The factoring step is
sin²θ - cos²θ sin²θ = sin²θ (1 - cos²θ)
Then the Pythagorean identity is invoked:
cos²θ + sin²θ = 1 → 1 - cos²θ = sin²θ
so that
sin²θ - cos²θ sin²θ = sin²θ sin²θ = sin⁴θ
(third option)
2. Recall that a ² - b ² = (a - b) (a + b). The numerator here is such a difference of squares:
csc²x - 1 = (cscx - 1) (cscx + 1)
Then
(csc²x - 1) / (1 + sinx) = ((cscx - 1) (cscx + 1)) / (1 + sinx)
Recall that cscx = 1/sinx, so rewrite this as
… = ((1/sinx - 1) (1/sinx + 1)) / (1 + sinx)
In the numerator, pull out a factor of 1/sinx from both terms:
… = (1/sinx (1 - sinx) × 1/sinx (1 + sinx)) / (1 + sinx)
… = ((1 - sinx) (1 + sinx)) / (sin²x (1 + sinx))
Cancel the common factor of 1 + sinx :
… = (1 - sinx) / sin²x
Expand the fraction and rewrite sin in terms of csc :
… = 1/sin²x - sinx/sin²x
… = 1/sin²x - 1/sinx
… = csc²x - cscx
Factor out cscx to get the second option,
… = cscx (cscx - 1)
How do I solve this? i don't know how to set it up.
Answer:
yes
Step-by-step explanation:
Answer:
31.5
Step-by-step explanation:
First we want to find what side NP is equal to. To do that we divide 4 by 12
12/4=3 so side mp=3
next we want to find the scale factor of the rectangles. to do that we divide 4 from 9
9/4=2.25
next we want to find what side st is equal too
to do that we multiply 3 by 2.25
3x2.25=6.75
finally we want to find the perimeter and to do that we do 2(6.75)+2(9)
2(6.75)+2(9)=31.5 so the perimeter of rectangle RSTU is 31.5
hope this helps :)
In the diagram shown, CD is the image of AB after a reflection across line EF . Which of the following pairs of segments do not have to be the same length.
(1) AB and CD
(2) BF and EF
(3) AE and CE
(4) BF and DF