Answer:
4x-2=26
Step-by-step explanation:
does anyone know how to solve 2x+3y=7 and 4x-5y=25 using substitution to solve the system of equations. PLEASE HELP ONLY IF YK IT
Answer:
x = 5, y = -1
Step-by-step explanation:
2x+3y=7
4x-5y=25
Keep the second equation the same, but change the first equation so you have something to substitute into.
3y= -2x+7
y= -2/3x + 7/3
substitute into second equ.
4x + 10/3x - 35/3 = 25
put the variables on one side, and the numbers on the other.
22/3x = 110/3
divide by 3
22x = 110
x = 5
Substitute x = 5 into the first equation,
10 + 3y = 7
move numbers to one side, and variables to the other.
3y = -3
y = -1
Answer:
x = 5, y = - 1
Step-by-step explanation:
2x + 3y = 7
4x - 5y = 25
In the second equation, solve for y in terms of x:
4x - 5y = 25
- 5y = 25 - 4x
- y = 5 - 4x/5
y = - 5 + 4x/5 Now substitute this for y in equation 2x + 3y = 7
2x + 3(-5 + 4x/5) = 7
2x - 15 + 12x/5 = 7
10x/5 - 15 + 12x/5 = 7
22x/5 = 7 + 15
22x/5 = 22 Now multiply both sides by 5/22 to isolate :
x = 5
Now substitute this value (x = 5) into 4x - 5y = 25 to solve for y:
4(5) - 5y = 25
20 - 5y = 25
- 5y = 5
y = - 1
You can check that these are correct by substituting x = 5 and y = -1 into the above equations to make sure they check out.
Given that f(x) = x2 + 12x + 32 and g(x) = x+ 4, find (f - g)(x) and
express the result in standard form.
Answer:
x²+11x+28
Step-by-step explanation:
(f - g) (x) = f(x) - g(x)
x² + 12x + 32 - (x + 4) = x² + 11x + 28
Round or fraction form round all the WAY!
Answer:
The answer to the question provided is
[tex] - \frac{3}{2} [/tex]
Ana uses Talk-A-Lot and Peter uses Talk-to-Me. Each company charges
the same amount per hour of talk time, however Ana and Peter will never
be charged the same amount. Write a system of equations that could
represent the situation. Explain.
Answer:
They both talk for a different amount of time
What is the exact value of tan(67.5°) ?
Answer:
[tex]\sqrt\frac{2+\sqrt{2}}{2-\sqrt{2}}[/tex]
Step-by-step explanation:
correct on edge2020
The required exact value of tan(67.5°) is -2 + √(2).
What are trig ratios?If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.
Here,
The exact value of tan(67.5°) can be found using the half-angle identity for the tangent, which states that:
tan(x/2) = (1 - cos(x)) / sin(x)
We can use this identity with x = 135 degrees since 67.5 degrees is half of 135 degrees. So:
tan(67.5°) = tan(135°/2) = (1 - cos(135°)) / sin(135°)
We can then use the following exact values:
cos(135°) = -√(2)/2
sin(135°) = -√(2)/2
Substituting these values, we get:
tan(67.5°) = (1 + √(2)/2) / (-√(2)/2)
Rationalizing the denominator, we get:
tan(67.5°) = -2 + √(2)
Therefore, the exact value of tan(67.5°) is -2 + √(2).
Learn more about trig ratios here:
https://brainly.com/question/14977354
#SPJ6
Determine the scale factor of the diagram
Round the number 2.72603 to 2 decimal places.
Answer:
2.73
Step-by-step explanation:
You round 6 up to get 2.73
Please give brainliest and thank me if it helped
7th grade help me please:)
Answer:
4^9
262144
Step-by-step explanation:
What is the perimeter of ABCD?
perimeter =
Answer:
38
Step-by-step explanation:
All you have to do to find the perimeter of a 2D shape is to add the sides and put the unit of measurement at the end of your answer.
Perimeter of ABCD is 38 units.
Perimeter of a quadrilateralPerimeter of a quadrilateral is given by the sum of the measures of all four sides.
From the picture attached,
Perimeter of the given parallelogram = AB + BC + CD + DA
= 9 + 10 + 9 + 10
= 38 units
Therefore, perimeter of the given parallelogram will be 38 units.
Learn more about the perimeter of a quadrilateral here,
https://brainly.com/question/341702?referrer=searchResults
Solve for p. p/8 + 12 = 36
9514 1404 393
Answer:
p = 192
Step-by-step explanation:
p/8 +12 = 36 . . . . . given
p/8 = 24 . . . . . . . . .subtract 12
p = 8·24 . . . . . . . . .multiply by 8
p = 192
WILL GIVE BRANLIEST
In each circle, chords AB and CD intersect at point X...
1.) AX = 8 and XB = 5; Find (CX)(XD).
2.) AX = 6, CX = 9, and XD = 2; Find XB.
3.) CX = 16, XD = 4, and AX = XB; Find AB.
Answer:
We have to see the circle in order to help you
250% of a number is the same as increasing the number by what percent?
Answer:
Since I am not given an increase number i will solve for numbers 1-5
1 - 25000%
2 - 12500%
3 - 8333.333333333332% (I recommend you don't use this one)
4 - 6250%
5 - 5000 %
Each number, it will increase by 250% no matter what
Its the same as increasing by 250%
Hope this helps <3
need help on this asap pleaase
Maria and laurie are making orange juice.Maria use 2 cups of concentrate and 5 cups of water. Laurie uses 3 cups of concentrate and 7 cups of water . Whose mix would be the strongest? Why?
Answer:
Step-by-step explanation:
To obtain the strongest mix :
Maria:
2 cups of concentrate ; 5 cups of water
Ratio = 2/5 = 0.4 concentrate per 1 cup of water
Laurie:
3 cups of concentrate ; 7 cups of water
Ratio = 3/7 = 0.4285714 concentrate per 1 cup of water
0.4285714 > 0.4
Hence, Laurie's mix is the strongest as it has higher concentrate per cup of water.
Write the fractions from parts (a) and (b) as a proportion, and solve to find out how many miles Alex's friend's house is from school. Round your answer to the tenths place. *
Question:
Alex skateboards at a constant speed from his house to school 3.8 miles away. It takes him 18 minutes.
a. What fraction represents his constant speed, c?
b. After school, Alex skateboards at the same constant speed to his friend’s house. It takes him 10 minutes. Write the fraction that represents constant speed, c, if he travels a distance of y.
c. Write the fractions from parts(a) and (b) as a proportion, and solve to find out how many miles Alex’s friend’s house is from school. Round your answer to the tenths place.
Answer:
(a) [tex]c = \frac{3.8}{18}[/tex]
(b) [tex]c = \frac{y}{10}[/tex]
(c) 2.1 miles
Step-by-step explanation:
Solving (a):
Given
[tex]Distance = 3.8\ miles[/tex]
[tex]Time = 18\ minutes[/tex]
Required
Determine the constant speed, c.
Speed is calculated as:
[tex]Speed = \frac{Distance}{Time}[/tex]
So, we have:
[tex]c = \frac{3.8}{18}[/tex]
Solving (b):
Given
[tex]Distance = y[/tex]
[tex]Time = 10\ minutes[/tex]
Required
Determine the constant speed, c.
Speed is calculated as:
[tex]Speed = \frac{Distance}{Time}[/tex]
So, we have:
[tex]c = \frac{y}{10}[/tex]
Solving (c): Write (a) and (b) as proportions and solve for y.
As a proportion, we have
[tex]\frac{y}{10} = \frac{3.8}{18}[/tex]
Multiply both sides by 10
[tex]10 * \frac{y}{10} = 10 * \frac{3.8}{18}[/tex]
[tex]y = 10 * \frac{3.8}{18}[/tex]
[tex]y = \frac{38}{18}[/tex]
[tex]y = 2.11111[/tex]
[tex]y = 2.1\ miles[/tex] ---- approximated
Divide 2x^4+3x^3-5x+6 by x^2+3x-2 .
2x^4 + 3x^3 - 5x + 6 ÷ x^2 + 3x - 2
= 2x^6 + 3x^5 − 2x^3 − 2x^2 + 6/ x^2
the two angles measuring (30 + 2 a)degree and (125 -a) degree supplementary to each other, then find the value of a.
Answer:
The value of a is 25
Step-by-step explanation:
When two angles are supplementary, they add up to 180 degrees
Mathematically,
(30 + 2a) + (125-a) = 180
30 + 2a + 125 - a = 180
a + 155 = 180
a = 180-155
a = 25 degrees
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
VA
Step-by-step explanation:
Angle VYA = 180-94-46 = 40 degrees.
Know that the side length opposite the smallest angle has the smallest length.
VY and VA are the two smallest, but 40 < 46, therefore VA is the shortest length.
Short (and not very rigorous) proof:
The law of sines says that sinA/a = sinB/b = sinC/c, where x is the side opposite the angle X
sin46/YV = sin40/VA
sin46 > sin40, therefore YV > VA.
15 = 5/ 3(x + 12) solve for x in simplest form
Answer:
x= -10 1/5 or -10.2
Step-by-step explanation:
Solve the equation.
x2 + 13x + 30 = 0
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution(s) is/are x =
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
O B. There is no solution.
Given that,
An equation : [tex]x^2 + 13x + 30 = 0[/tex]
To find,
The value of x.
Solution,
We have, [tex]x^2 + 13x + 30 = 0[/tex]
We can solve it as follows :
[tex]x^2 + 10x +3x+ 30 = 0\\\\x(x+10)+3(x+10)=0\\\\(x+3)(x+10)=0\\\\(x+3)=0\ \text{and}\ (x+10)=0\\\\x=-3\ \text{and}\ x=-10[/tex]
So, the solution of the given equations are -3 and -10.
Jayden's car gets 23 miles to a gallon of gasoline. He filled up his car's gas tank with g gallons. Write an expression that shows how far Kurt can drive on a tank of gasoline.
Answer:
D= distance covered by amount (g) gallons
D=23g
Step-by-step explanation:
Jacob has 1/2 of a container of trail mix. He is filling snack packs that each use about 1/6 of a container. How many snack packs can Jacob make?
Answer:
x = 3
Step-by-step explanation:
Jacob has 1/2 of a container of trail mix.
He is filling snack packs that each use about 1/6 of a container
We need to find the number of snack packs can Jacob make. Let he can make x snack packs.
[tex]\dfrac{1}{6}x=\dfrac{1}{2}\\\\x=3[/tex]
Hence, he can make 3 snack packs.
A doorway is 8 feet high and 4 feet wide. a square piece of plywood needs to be moved through the doorway the plywood is 10 feet long and 10 feet wide. Will the piece of plywood fit through the door if it is tilted diagonally?
Answer: No, because the length of the diagonal is close to 9 feet.
Step-by-step explanation:
I NEED HELP PLZ I WILL GIVE THANKS AND BRAINLIST
Answer: Yes, it is in the blue shaded area
Step-by-step explanation:
John jogged 4.5 miles on Thursday, 7 2/5 miles on Friday, and 10.4 miles on Saturday. How many miles does John have to run in order to run 25 miles for the week
im giving 20 points
Answer:
2.7 miles
Step-by-step explanation:
25 - 10.4 - 4.5 - 7 2/5 will give you 2.7
Answer:
8 miles
Step-by-step explanation:
If we divide 70 by 50, we get the unit rate for the ratio 70 minutes for every 50 miles.
70÷50=1.4
So the runner is running 1.4 minutes per mile. We can multiply this unit rate by the number of miles:
1.4 minutes mile × 5 miles = 7 minutes
Thus it will take her 7 minutes to run 5 miles at this pace.
If it takes her 7 minutes to run 5 miles, it will take her 7÷5 = 1.4 minutes to run 6÷3=2 miles at the same pace.
If it takes her 1.4 minutes to run 5 miles, it will take her 1.4×5=7 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.
We found her pace in minutes per miles in part (a).
can someone help me please?
Answer:
90.6
Step-by-step explanation:
89.7 + 92.6 + 83.9 + 96.2=
362.4
362.4 divided by 4 =
90.6
Did I get this right or no I didn’t
Answer:
its correct bro ;) click next
Guys I really need help
Answer:
What do you need help with
Step-by-step explanation:
Please Help
(x+50)/2 = 13x
Answer:
X=2
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
Diego is solving the equation x2 – 12x = 21
Which value must be added to both sides of the equation to make the left side a perfect -square trinomial?
A
36
B
32
с
144
D
4
Answer:
[tex]36[/tex]
Step-by-step explanation:
Given
[tex]x^2 - 12x = 21[/tex]
Required
Make a perfect square
First, get the coefficient (k) of x
[tex]k = -12[/tex]
Divide by 2
[tex]\frac{k}{2} = \frac{-12}{2}[/tex]
[tex]\frac{k}{2} = -6[/tex]
Square this result:
[tex](\frac{k}{2})^2 = (-6)^2[/tex]
[tex](\frac{k}{2})^2 = 36[/tex]
Hence, 36 when added to the left-hand side makes it a perfect square trinomial