Answer:
The solution to these two equations is (3, 1)
Step-by-step explanation:
So for the elimination method, we are basically multiply each equation by a factor that would allow us to cancel them out..
We could rewrite the equations as the following to make the elimination method easier:
-2y + 3x = 7
y + 4x = 13
We could multiply the second equation by positive 2 in order to cancel out the y from the first equation when we add.
-2y + 3x = 7
2y + 8x = 26 ---> Now we have 11x = 33, when we simplify, we have x = 3.
Now to find our y value in order to find the solution, we would just plug in our x value and solve for y. **We can use either equation to find the answer for this...
-2y + 3x =7.
-2y + 3(3) = 7
-2y + 9 = 7
-2y = -2
y = 1.
We can double check our answer by plugging in both x and y values into the second equation.
4(3) + 1 = 13.
12 + 1 = 13, so we are correct.
The solution to these two equations is (3, 1)
Simplify the expression.
(42 − 2)2
Answer:
80
Step-by-step explanation:
There are 500 sheets in a pack of paper. 500 sheets of paper weigh 2.5kg.
Work out the weight of 50 sheets of paper.
Answer:
It's a proportion:
500=2.5
50=x
2.5×50:500=0.25kg
50 sheets weigh 0.25 kg
Step-by-step explanation:
Answer:
0.25
Step-by-step explanation:
the weight of a sheet = 2.5kg/500
the weight of a sheet = 0.005kg
the weight of 50 sheets = 0.005 * 50
the weight of 50 sheets = 0.25kg
ORsince it's a uniform rate
500 sheets = 2.5kg
50 sheets = xkg
then you cross multiply.Having:
500*x = 2.5 * 50
500x = 125
then x = 125/500
x = 0.25
Solve *
(7 Points)
9a + 28 = 4a +3
A -30
B 20
C 6.2
D -5
Answer:
D -5
Step-by-step explanation:
9+28−28=4+3−28
9=4−25
9−4=4−25−4
5a=−25
5
=
−
2
5
5a=-25
5a=−25
5a/5
=−25/5
a=-5
Two ships set sail in different directions from the same place. Tyler's ship sail 35 miles while Noah's ship sails for 42 miles. At the same time they are 56 miles apart. What was the angle between their paths when they started?
Answer:
The angle between their paths when they started is 93°.
Step-by-step explanation:
The Law of Cosines
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:
[tex]c^2=a^2+b^2-2ab\cos x[/tex]
When the two ships travel in different directions from the same point in the plane, they form an angle we called x in the image below.
Tyler's ship sails a=35 miles and Noah's ship sails for b=42 miles. At some time they are c=56 miles apart.
Since we know the values of all three side lengths, we solve the equation for x:
[tex]\displaystyle \cos x=\frac{a^2+b^2-c^2}{2ab}[/tex]
Substituting values:
[tex]\displaystyle \cos x=\frac{35^2+42^2-56^2}{2(35)(42)}[/tex]
Calculating:
[tex]\displaystyle \cos x=-\frac{147}{2940}=-\frac{1}{20}[/tex]
Computing the inverse cosine:
[tex]x = \arccos(-0.05)[/tex]
[tex]x \approx 93^\circ[/tex]
The angle between their paths when they started is 93°.
how do i do this work
Answer:
you didn't put a picture
Step-by-step explanation:
lol
Examine the diagram.
A triangle has angles 2, 4, 3. A line extends past angles 3 and 2 to form exterior angle 1.
Name one of the remote interior angles to the exterior angle in the diagram.
Angle 1
Angle 2
Angle 3
The answer is C!
- Got it right on edge :)
- Have a good day !
What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0? Use u substitution and the quadratic formula to
solve.
Answer:
x= −41 /20
Step-by-step explanation:
(2x+3)(2)+8(2x+3)+11=0
(4x+16x)+(6+24+11)=0(Combine Like Terms)
20x+41=0
20x+41=0
Step 2: Subtract 41 from both sides.
20x+41−41=0−41
20x=−41
Step 3: Divide both sides by 20.
20x /20 = −41 /20
x= −41 /20
Answer:
b
Step-by-step explanation:
A linear function contains the following points.
What are the slope and y-intercept of this function?
A. The slope is -3.
The y-intercept is (0, -7).
B. The slope is 1/3
The y intercept (0,-7)
c. The slope is -1/3
The y intercept s (0, -7).
D. The slope is -1/3
The y intercept is (-7,0)
Answer:
C
Step-by-step explanation:
Anyone ever heard of Delta math?
Are you referring to a program? Then:
Delta Math is an RTL program that provides online readiness screening and standard based reporting, paper based progress monitoring and tiered instructional support for Kindergarten through Algebra 1. Algebra 2 readiness screeners and online practice are also now available!
Hope this helps and if you could mark me as brainliest. Thanks!
Help with 10 c). Plssss
Answer: It’s B or E I would go with id say E
Step-by-step explanation:
Yesterday,grace drove 33 / 1/2 miles.She used 1 and 1/4 gallons of gasoline.What is the unit rate for miles per gallon? (Simplify your answer. Type an integer, fraction, or mixed number.)
Answer:
26 4/5
Step-by-step explanation:
The unit rate for miles per gallon is 26 4/5 gallons
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The number of miles traveled by Grace = 33 1/2 miles
= 33.5 miles
Amount of gasoline used by Grace = 1 1/4 gallons
= 1.25 gallons
Now ,
The unit rate for miles per gallon is calculated as
The unit rate for miles per gallon =
Number of miles traveled by Grace / Amount of gasoline used by Grace
The unit rate for miles per gallon = 33.5 / 1.25
= 26.8 miles per gallon
Therefore , the unit rate for miles per gallon is 26.8 or 26 4/5 miles per gallon
Hence , the unit rate for miles per gallon is 26 4/5 miles per gallon
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ5
How could the formula for perimeter be rearranged to find the length of the playground?
Answer:
The third option
Step-by-step explanation:
the formula is basically reversed, you can check it yourself by giving the W and L fake values then execute the first formula then the second formula and you will receive the value of your length as your answer
If you were outlining an essay using the sentences below, which one would you use as your thesis statement? O A. Train travel is more economical than car travel. B. Although there are advantages to both, train travel is superior to car travel O C. On a train you can relax, sleep, and do other activities you couldn't do if you were driving. OD. Riding on a train is safer than driving in a car.
Answer: I think it is D
The middle school band has a boy to girl ratio of 4:6 the band had 20 members last year and 25 members this year. How many girls and how many boys are in the band of these two years :'p
Answer:
um i believe its 20 boys and 24 girls
Step-by-step explanation:
Answer:
20 boys 24 girls
Step-by-step explanation:
that is the answer
Can someone help me!!
Answer:
Its not clear what form to write this equation in but the relationship is that 3 cubes are added from figure to figure. The best equation i can think off would be y=x+3. This is because the new figure, y, is equal to the figure before it plus 3
y=x+3 is the best answer in this case
Step-by-step explanation:
PLEASE HELP!!Choose the slope and y-intercept that
correspond with the graph.
the answer is -1/3 y-incercept= -1
Answer:
The first one
Step-by-step explanation:
It’s y intercept is 1 and the slope is 1/3 because it goes up one and to the left 3 . I know it’s negative because it’s going down to the right.
From the information given, can you prove that the triangles congruent using SAS congruent postulate? If not, what do you need to know to make the triangle congruent using the SAS congruence postulate?
Answer:
D.
Step-by-step explanation:
to prove congruency of two triangles, you need two congruent sides and one congruent angle
in this case we are given exactly that, 2 sides and one angle that is congruent
we would also need to make sure that the given sides and angles are actually congruent, and not mismatched
we can do this by looking at the positions of the letters in each congruency statement
for example, the letters LO and MA are the first two letters in each triangle's name, this means that they are congruent and properly matched
if you do this with every statement that you are give, you can see that the triangles can be proven by SAS
Giving 18 point plz plz help
Answer:
B Step 2
Step-by-step explanation:
5(-3) should be -15, not positive 15
Let f(x)=22−8−9.
(i)Write down the coordinates of the vertex.
(ii)Hence or otherwise, express the function in the form f(x)=2(−ℎ)2+.
b.Solve the equation f(x)=0.
There appears to be a typo in your function.
Note: f(x) = 22-8-9 is not a function. The notation f(x) means there should at least one x on the right side. Repost.
What is the perimeter of a quadrilateral with measurements of 19 ft, 10 ft, 17 ft, and 8 ft?
Group of answer choices
Answer:
54
Step-by-step explanation:
Solve. 7w - 12 = 44 w = *
Answer:
[tex] \huge{ \boxed{ \bold{ \text{w = \: 8}}}}[/tex]
☃ Question : Solve for w[tex] \text{7w - 12 = 44 }[/tex]
✎ Step by step explanation[tex] \text{7w - 12 = 44}[/tex]
Move 12 to right hand side and change it's sign
[tex] \longrightarrow{ \sf{7w = 44 + 12}}[/tex]
Add the numbers : 44 and 12
[tex] \longrightarrow{ \sf{7w = 56}}[/tex]
Divide both sides by 7
[tex] \longrightarrow{ \sf{ \frac{7w}{7} = \frac{56}{7}}} [/tex]
[tex] \longrightarrow{ \boxed{ \bold{ \red{ \sf{w = 8}}}}}[/tex]
--------------------------------------------------------------------
☟ Let's check whether the value of w is 8 or not !
✑ Verification :L.H.S ( Left hand side ) :
[tex] \dashrightarrow{ \sf{7w - 12}}[/tex]
plug the value of w and simplify
[tex] \dashrightarrow{ \sf{7 \times 8 - 12}}[/tex]
[tex] \dashrightarrow{ \sf{56 - 12}}[/tex]
[tex] \dashrightarrow{ \sf{ 44}}[/tex]
R.H.S ( Right Hand Side ) = 44
L.H.S = R.H.S ( Hence , the value of w is 8 ).
-----------------------------------------------------------------
☄ Rules for solving an equation :If an equation contains fractions , multiply each term by the LCM of denominators.Remove the brackets , if any.Collect the terms with the variable to the left hand side and constant terms to the right hand side by changing their signs ' + ' into ' - ' and ' - ' into ' + ' .Simplify and get the single term on each side.Divide each side by the coefficient of variable and then get the value of variable.Hope I helped !
Have a wonderful time ! ツ
~ TheAnimeGirl
Please please help me answer number 14
Answer:
A and E is base angle.
B and D is leg.
F is base.
C is vertex angle.
Thank you and please rate me as brainliest as it will help me to level up
Answer:
answer below
Step-by-step explanation:
a base angle
b leg
c vertex angle
d leg
e base angle
f base
It will take 20 points to make the playoffs, the Hockey Team coach told the players. "We get 2 points for a win and 1 point for a tie." Let be the number of wins and be the number of ties. Write an equation to describe the values of and that will let them make the playoffs.
Answer:
[tex]2x+y\geq 20[/tex]
Step-by-step explanation:
Given that total points required to make the playoffs = 20 points
As there is 2 points for a win,
so points earned for x win = 2x
Similarly, as there is 1 point for a tie.
so points earned for y ties = 1[tex]\times[/tex] y= y
Total points earned for x win and y ties = 2x+y
As the team makes the playoff so the total points of the team must be equal to or greater than 20 points (i.e the minimum points to make the playoff), so
[tex]2x+y\geq 20[/tex]
Hence, the required equation is [tex]2x+y\geq 20[/tex].
Sue made a quilt pattern from 16 congruent pieces of cloth shaped like isosceles right triangles. She cut the pieces so that the legs of each triangular piece are 6 inches
long
Answer:
Option (D)
Step-by-step explanation:
Sue made a quilt pattern comprising 16 congruent isosceles right triangles.
She cuts the pieces of triangle having each leg = 6 inches
By applying Pythagoras theorem in isosceles triangle,
(Hypotenuse)² = (leg 1)² + (leg 2)²
x² = 6² + 6²
x² = 72
x = √72
x = 8.485
x ≈ 8.5
Option (D) will be the correct option
Answer:
The answer is D. (8.5)
Step-by-step explanation:
is (8, -10) a solution to y = 1/4x -4
Answer:
no
Step-by-step explanation:
-10= 8(1/4x)-4
-10=2-4
-10=-2
Answer:
To solve in complex number solution, the answer would be: y = -15/4 and in=f needed simplified: 1/4 - 4
Step-by-step explanation:
could u help me please?
Answer: the answer is b but make sure
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
D is false. If -7,3 was an answer the equation would look like this
y+3=-2(x+7)
Have a nice day,
PumpkinSpice1
If the circumference of a circle and the perimeter of a square are equal, then
(a) Area of circle = Area of the square
(b) Area of circle > Area of the square
(c) Area of circle < Area of the square
(d) Nothing definite can be said about the relation between the areas of the circle and square
Answer:
nothing definite can be said and square
Answer:
option no b is correct area of circle>area of square.
Step-by-step explanation:
Round 6.1 to the nearest whole number.
Answer:
6
Step-by-step explanation:
It would only be 7 if it was 6.5 or higher so if it's 6.4 or less it'll always go back one so 6.
Whole number: Exact nuumber with no decimals such as: 1,2,3,4,5...
Answer:
6
Step-by-step explanation:
1, 2, 3, 4, slide to the floor,
5, 6, 7, 8, 9, climb the vine.
I need help againnnnn
i'll mark you as brainliest
Answer:
y=x-4
Step-by-step explanation:
We can see that x is always 4 times larger than y or y is always 4 times less than x
This means that y=x-4
Answer:
The Answer Is "y = x - 4"
Hope This Helped :)