Solve the system of equations graphically 3x-y=4, 2y+x=6
Answer:
y=2 x=2
Step-by-step explanation:
x = -2y + 6
3•(-2y+6) - y = 4
- 7y = -14
7y = 14
y = 2
x = -2y+6
y = 2
x = -2(2)+6 = 2
x=2
Step-by-step explanation:
solve for y in both equations
3x-y=4subtract 3x from both sides
-y=4-3x
multiply the equation by -1
y=-1(4-3x)
2y+x=6subtract both sides by x
2y=6-x
divide both sides by 2
y=(6-x)/2
Now set the y values equal to each other-1(3x-4)=(6-x)/2
-3x+4=(6-x)/2
multiply both sides by 2
-6x+8=6-x
add 6x to both sides and subtract 6 to both sides
2=x
put 2 back into x for y=(6-x)/2
y=2
Hope that helps :)
What is Common denominator of 1/6 and 3/4? 30, 48, 20, or 64?
Answer:
48
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
What is the length, in feet, of the diagonal of a square with 8-foot sides? Round to the nearest tenth.
Answer:
11 feet
Step-by-step explanation:
Length of diagonal of square of side a = √2a
Here value of a = 8 feet
Therefore length of diagonal d = √2×8 = 1.414×8 = 11.312 feet
So after rounding to the nearest tenth the length of diagonal becomes 11 feet
Plzz help will mark brainiest!!!!!!
Answer choices for first box : 4, 20, and 34
answer choices for second box: decrease, preserve, and increase
Answer:
The length of the resulting line is 20 units
and for the second one it would be preserve
Step-by-step explanation:
Hope this helps :)
What is the 4th equivalent fraction to 1/2?
Step-by-step explanation:
For example, 2/4 and 3/6 both are equal to ½.
...
Equivalent Fractions Chart.
Unit Fraction Equivalent Fractions
1/2 2/4, 3/6, 4/8..
1/3 2/6, 3/9, 4/12..
1/4 2/8, 3/12, 4/16..
1/5 2/10, 3/15, 4/20,
Answer:
500/1000
Step-by-step explanation:
if you happen to simplify you will get 1/2. hope it helps.good day
1) Matthew can run of a mile in of an hour. What is the unit rate?
qué número entero está entre -2 y 5
Answer:
1.5
Step-by-step explanation:
-2,-1,0,1,2,3,4,5
Le quitamos un número hasta llegar al medio. En el medio hay dos números, el 1 y el 2. Pues tenemos que buscar el promedio de los dos (1+2=3 y 3÷2=1.5).
1.55y-(5y-17)/100=0.02
1.
Which statement best describes the graph of the
linear equation 2x + 2y = 2
A. The graph has a slope of 1 and a y-intercept
of 2.
B. The graph has a slope of 1 and a y-intercept
of 1
C. The graph has a slope of -1 and a y-intercept
of 2.
D. The graph has a slope of -1 and a y-intercept
of 1
Given:
The linear equation is:
[tex]2x+2y=2[/tex]
To find:
The statement that best describes the graph of the given linear equation.
Solution:
The slope intercept form of a linear function is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope anf b is the y-intercept.
We have,
[tex]2x+2y=2[/tex]
It can be written as:
[tex]2y=2-2x[/tex]
[tex]y=\dfrac{2-2x}{2}[/tex]
[tex]y=1-x[/tex]
[tex]y=-x+1[/tex] (ii)
On comparing (i) and (ii), we get
[tex]m=-1,b=1[/tex]
Therefore, the graph has a slope of -1 and a y-intercept of 1. Hence option D is correct.
Alex has six candy bars he wants to cut into fifths. How many 1/5 size pieces will he have
Answer:
30 pieces.
Step-by-step explanation:
According to the word problem, Alex wants to cut all six of his candy bars into fifths.
5/5 = one whole candy bar.
If there will 5 pieces for every candy bar, we can multiply 5 by 6.
5 x 6 = 30.
There will be 30 of the 1/5 size pieces.
Find the smallest side of CDE?
Answer:
CE
Step-by-step explanation:
The smallest side is opposite the smallest angle.
1. A triangle has two angles that measure 52 degrees and 31 degrees.
What is the measurement of the third angle?
Answer:
86 degrees
Step-by-step explanation:
Interior degrees of a triangle always add up to 180 degrees
What you would do is add the first two (52+31 = 84)
Subtract this number from 180 to get your remaining degrees
86 degrees
Plot the square root of 9 on a number line
Find X.
Someone please help me lol !
Answer:
x = 9
Step-by-step explanation:
Formula
The secant and tangent lines bear the following relationship
(tangent line )^2 = the outside secant line * length of the whole line
Givens
tangent line = 15
outside secant line = x
length of whole secant line = x + 16
Solution
15^2 = x ( x + 16)
15^2 = x^2 + 16x
225 = x^2 + 16x
x^2 + 16x - 225 = 0
Answer and Discussion
The equation has two factors.
(x - 9)(x + 25) =0
x + 25 has no meaning. There cannot be a negative length in this level of geometry.
The answer is x - 9 = 0
x = 9
What is the area of
28
105
38.5
49
Answer:
105
Step-by-step explanation:
11×14= 154
7×7= 49
154-49= 105
Answer:
105 is ur answer!
you're welcome lol
Joshua invested $750 in an account paying an interest rate of 3\tfrac{1}{4}3 4 1 % compounded quarterly. Josiah invested $750 in an account paying an interest rate of 2\tfrac{5}{8}2 8 5 % compounded annually. After 18 years, how much more money would Joshua have in his account than Josiah, to the nearest dollar?
Answer:
Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.
Step-by-step explanation:
Giving the following information:
Joshua:
Initial investment (PV)= $750
Interest rate (i)= 0.0341/4= 0.008525
Number of periods (n)= 18*4= 72 quarters
Josiah:
Initial investment (PV)= $750
Interest rate (i)= 0.0285
Number of periods (n)= 18 years
To calculate the future value of each one, we need to use the following formula:
FV= PV*(1 + i)^n
Joshua:
FV= 750*(1.008525^72)
FV= $1,381.98
Josiah:
FV= 750*(1.0285^18)
FV= $1,169.74
Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.
Answer:
delta math says answer is 100
Step-by-step explanation:
Help!
An airplane takes off at an angle of 15 degrees with the ground. To the nearest 10 feet, how far has the airplane flown when it has covered a horizontal distance of 1800 feet?
Answer:
1738.67 feet
Step-by-step explanation:
Imagine a right angles triangle, with the base length of 1800ft and the angle between the base and the hypotenuse to be 15 degrees.
Now, we have to calculate the hypotenuse length, using trigonometric ratios
The ratio that links adjacent side and hypotenuse is cos
So, write an equation:
cos(15) = Adjacent/Hypotenuse = 1800/H
Rearrange to solve.
H = cos(15) x 1800 = 1738.67
This is the distance flown by the aeroplane .
Hope this helps
Mary typically walks 28 yards south on Pine Street and 45 yards east on Maple Avenue in order to get to school. How much shorter would his walk be if she took the shortcut shown below PLSSSS HELPPPP
Which quadratic function is represented by the graph?
f(x) = 0.5(x + 3)(x − 1)
f(x) = 0.5(x − 3)(x + 1)
f(x) = 2(x + 3)(x − 1)
f(x) = 2 (x − 3)(x + 1)
Answer:
f(x) = 0.5(x + 3)(x − 1)
HELPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
Help please thank youuu
Answer:
48
Step-by-step explanation:
Learning math. The Core Plus Mathematics Project (CPMP) is an innovative approach to teaching mathematics that engages students in group investigations and mathematical modeling. After field tests in 36 high schools over a three-year period, researchers compared the performances of CPMP students with those taught using a traditional curriculum. In one test, students had to solve applied algebra problems using calculators. Scores for 320 CPMP students were compared with those of a control group of 273 students in a traditional math program. Computer software was used to create a confidence interval for the difference in mean scores (Journal for Research in Mathematics Education, 31, no. 3, 2000).
Conf. level: 95%
Variable: µ(CPMP) — µ(Ctrl)
Interval: (5.573, 11.427)
a) What is the margin of error for this confidence interval?
b) If we had created a 98% confidence interval, would the margin of error be larger or smaller?
c) Explain what the calculated interval means in this context.
d) Does this result suggest that students who learn mathematics with CPMP will have significantly higher mean scores in applied algebra than those in traditional programs? Explain.
Answer:
D is the answer
Step-by-step explanation:
Please Help Jane has 10 cards Jane is going to make a row containing four cards how many unique ways can she ordered the row
it will be 151200 is the anwser
There will be a total of 5040 unique ways to make arrangements of 4 cards out of 10 so option (A) will be correct.
What are permutation and combination?When the order of the arrangements counts, a permutation is a numerical approach that establishes the total number of alternative arrangements in a collection.
The number of alternative configurations in a collection of things when the order of the selection is irrelevant is determined by combination.
Given the 4 cards arrangement out of 10
npr = n! /(n-r)!
Here n = 10 , r = 4
10p4 = 10! /(10-4)!
10p4 = 10 × 9 × 8 × 7 × 6! /6!
10p4 = 5040
So there will be a total of 5040 ways to arrange the cards.
For more about permutation and combination,
https://brainly.com/question/13387529
#SPJ5
pls help thank you:)
Answer:
|2x-5|<3
Step-by-step explanation:
.............
combine like terms 9y + 3y + 5x
Answer:
=12y+5x
Step-by-step explanation:
Answer:
12y+ 5x
Step-by-step explanation:
9y + 3y + 5x
9y and 3y are like terms
9y+3y = 12y
12y+ 5x
Could someone help me with these 2 questions
Answer:
Q5: S.A = 216 cm²
Q6: S.A = 254 cm²
Step-by-step explanation:
Q5:
Surface area of a cube = 6a²
a = 6 cm
Plug in the value of a
Surface area of the cube = 6(6²)
= 6(36)
S.A = 216 cm²
Q6:
Given:
Length (L) = 9 cm
Width (W) = 4 cm
Height (H) = 7 cm
Required:
Surface area
Solution:
Surface area of the rectangular prism = 2(LW + LH + HW)
Plug in the values
S.A = 2(9*4 + 9*7 + 7*4)
= 2(36 + 63 + 28)
= 2(127)
S.A = 254 cm²
Right triangles 1-2 and 3 are given with all their angle measures and approximate side lengths.
Use one of the triangles to approximate the ratio WY/WX
A. 0.34
B. 0.94
C. 1.06
D. 2.76
Answer:
0.34
Step-by-step explanation:
Considering the right-angled triangle XYW, an approximate ratio WY/WX is equal to 0.34. The correct option is A.
What is a right-angled triangle?A right triangle is a triangle in which one of the angles is at a right angle or two of the sides are perpendicular, or more formally, an orthogonal triangle, formerly known as a rectangle triangle. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.
Considering the right-angled triangle XYW, we would apply the law of cosine to approximate the ratio WY/WX. Mathematically, the law of cosine is given by:
cos(θ) = Adj/Hyp
Where:
Adj is the adjacent side of a right-angled triangle.
Hyp is the hypotenuse of a right-angled triangle.
θ is the angle.
Substituting the given parameters into the formula, we have;
cos(θ) = WY/WX
cos(70) = 3.4/10
0.34 = 0.34.
Therefore, the correct option is A.
Read more on triangle ratio here:
brainly.com/question/26060091
#SPJ5
Steven wants to buy a new video game. He needs at least $48. He has $26.00 saved. His brother said he would pay him $5 an hour to help him with his
homework. Which inequality can be used to determine the amount of hours, h, Steven must help his brother so that he has enough money for video game?
48 - 26h > 5
В.
5h + 26 2 48
С
26h + 5 2 48
D
26 +5h48
Find the volume of this cone.
Round to the nearest tenth.
7in
= 4in
Answer:
117.3 in^3
Step-by-step explanation:
Volume of cone=π(r^2)h/3=π·42·7/3≈117.3 in^3
Answer:
117.3in³
Step-by-step explanation:
πr²[tex]\frac{h}{3}[/tex]
3.14x4²x[tex]\frac{7}{3}[/tex]= 117.29
117.29 to nearest 10th= 117.3in³
PLEASE HELP ASAP PLEASE HELP