Answer:
x = 8
Step-by-step explanation:
1. First, we should realize that the angle with 16x + 7 and the angle with 5x + 5 are same-side interior angles, meaning they add up to 180 degrees. This means that 16x + 7 + 5x + 5 = 180.
2. (Solving)
Step 1: Simplify both sides of the equation.
[tex](16x+5x)+(7+5)=180[/tex] [tex]21x + 12 = 180[/tex]Step 2: Subtract 12 from both sides.
[tex]21x + 12 - 12 = 180 - 12[/tex] [tex]21x = 168[/tex]Step 3: Divide both sides by 21.
[tex]\frac{21x}{21}=\frac{168}{21}[/tex] [tex]x = 8[/tex]Step 4: Check if solution is correct.
[tex]16(8)+7+5(8)+5=180[/tex] [tex]128 + 7 + 40 + 5 = 180[/tex] [tex]135 + 40 + 5 = 180[/tex] [tex]175 + 5 = 180[/tex] [tex]80= 80[/tex]Therefore, x = 8.
×/2=y/3; y/4=z/4 và x+2y-z=10
If the cost, C(x), for manufacturing x units of a certain product is given by C(x)=x2−19x+50 find the number of units manufactured at a cost of $8150
Answer:
Step-by-step explanation:
C(x) = ax2 + bx + c
C(x) = x2 -19x + 50
8150 = x2 -19x + 50
x2 -19x + 50 = 8150
x2 -19x-8100 = 0
this is a quadratic equation, solved as
x = −b ± √(b2 − 4ac) 2a ·
or
x = −(-19) ± √((-19)x(-19) − 4(1) x(-8100))/2 ·
x= 19± √((-19)x(-19) − 4(1) x(-8100))/2
x = 100
If x + y = 10 and x - y = 4, find the value of x² - y²
Answer:
x²-y² = 40
Step-by-step explanation:
Factorising x²-y²:
x²-y² = (x+y)(x-y)
This is due to the property that states:
a²+b² = (a+b)(a-b)
Substituting the given values into the above equation:
x²-y² = (10)(4)
= 40
Hence, x²-y² = 40
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
Answer:
x² - y²=40 or 7²-3²=40
Step-by-step explanation:
if x=7 that would make y=3
7+3=10 and 7-3=4
7x7=49
3x3=9
49-9=40
MARKING BRAINLEIST + A THANKS !!
Find the remainder when f(x) = 5x3 + 7x + 5 is divided by x + 2
A. -49
B. -7
C. 11
D. 59
A retiree has $200,000 to invest and needs to make $13,000 with her investments. If she can invest in government bonds at 6% or investment-grade bonds at 8%, how much should she invest in each?
Answer:
$50,000 at 8%; $150,000 at 6%
Step-by-step explanation:
$50,000 x .08 = $4000
$150,000 x .06 = $9000
$4000 + $9000 = $13,000
[tex]\sf x-8=12[/tex]
Answer:
x=20
Step-by-step explanation:
Firstly add 8 in both sides.
Or,x-8=12
or,x-8+8=12+8
Add up:
Or,x=20
[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]
[tex]\boxed{\sf Good\: luck \: for \: your \:assignment} [/tex]
Answer:
[tex]x=20[/tex]
Step-by-step explanation:
[tex]x-8=12[/tex]
[tex]x-8+8=12+8[/tex] ( Add 8 to both sides)
[tex]\sf x=20[/tex]
Help WITH THE MATH PLEASE QUICK
Answer:
Step-by-step explanation:
2x - 3 = 135 {Corresponding angles are congruent}
2x = 135 + 3
2x = 138
Divide both sides by 2
x = 138/2
x = 69
[tex]\small\boxed{\begin{array}{cc} \hline\sf \normalsize {Math \: \: \: Question}\\ \hline\end{array}}[/tex]
=================================
2× - 3 = 135
2× = 135 + 3
2× = 138
× = 138/2
× = 69
=================================
[tex]\begin{gathered}\begin{gathered}\tiny\boxed{\begin{array} {} \red{\bowtie}\:\:\:\: \red{\bowtie}\\。◕‿◕。\end{array}}\end{gathered}\end{gathered}[/tex]:BrainliestBunch
what is the answer?
can someone help me with this?
Answer:
181.58 pics per month
Step-by-step explanation:
divide 1150 by 6.33
1150/6.33=181.58
In triangle RST, mZR>m2S +mZT. Which must be true of triangle RST? Check all that apply.
OmZR > 90°
mZS + mZT< 90°
0 m2S = mZT
OmZR>mZT
OmZR>mZS
OmZS> mZT
Answer:
Step-by-step explanation:
1,2,4,5
The correct statements are,
m∠R > 90°
m∠S + m∠T < 90°
m∠R > m∠T
m∠R > m∠S
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Here, RST is a triangle,
Therefore,
m∠R + m∠S + m∠T = 180°
⇒ m∠S+m∠T = 180° - m∠R
Since, m∠R > m∠S + m∠T
⇒ - m∠R < - (m∠S + m∠T) (by multiplying-1 on both sides)
⇒ 180°- m∠R < 180° - (m∠S + m∠T) (by adding 180° on both sides)
⇒ m∠S+m∠T < 180° - (m∠S + m∠T)
⇒ m∠S+m∠T+ m∠S+m∠T < 180° ( by adding m∠S + m∠T on both sides)
⇒ 2(m∠S+m∠T) < 180°
⇒ m∠S+m∠T < 90°
⇒ m∠R > 90° ( because m∠R+m∠S+m∠T = 180° )
Again, m∠R > m∠S + m∠T
⇒ m∠R > m∠S and m∠R > m∠T
Thus, Option first second fourth and fifth are correct.
Since, m∠S = m∠T is only possible when m∠R=90° (but it is not given)
That is why m∠S = m∠T is not correct.
And, there are not enough information to prove m∠S > m∠T
That is why m∠S > m∠T is also incorrect.
Learn more about the triangle visit;
brainly.com/question/1058720
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Find the slope, m, and y-intercept, b, for the graph of the linear equation represented by the table below.
Answer: m=1/2, b=-7
Step-by-step explanation:
(0,-7) is the y-intercept on the line...
Find the iterative rule for
a1=4; an=1/3·an−1
A.) an=1/3•4^n
B.) an=1/3•4^n-1
C.) an=4•(1/3)^n
D.) an=4•(1/3)^n-1
Answer:
D.) a(n) = 4 * (1/3)^(n-1)
Step-by-step explanation:
a(1) = 1/3 * a(1-1) = 1/3 * a(0) = 4, so that
1/3 * a(0) = 4
a(0) = 12.
Answer choice D.) is such that a(0) = 4 (1/3)^(0-1) = 4*(1/3)^(-1) = 4 * 3 = 12, and assuming that the problem is well posed (i.e., exactly one of the answer choices is correct), we deduce that D.) is the correct answer choice.
express 5^20 as a power of 25
The expression of 5^20 as a power of 25 can be written as 25^10.
What are exponents?The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.
We need to express 5^20 as a power of 25
If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" means this statement might change from text to text slightly.
Thus, 5^20 can be written as ;
(5^2)^10 = 25^10
Therefore, the expression of 5^20 as a power of 25 can be written as 25^10.
Learn more about exponentiation here:
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help me im having trouble on slopes
Answer:
The slope-intercept form of an equation looks like this: y=mx+b
The m stands for the slope and the b stands for the y-intercept.
We need two points from the line to write out this equation.
For example (-2,0) and (1,2)
Now that we have the slope, we can plug it into our equation: y= 2/3x + b
To get b, our y-intercept, we just need to plug in one of the points found and solve. For example (-2,0)
Now that we have both our m and b values, we can plug them in to get our equation: y=2/3x + 4/3
Step-by-step explanation:
[tex]m= \frac{y1-y2}{x1-x2} = \frac{0-2}{-2-1}[/tex]
[tex]m=\frac{-2}{-3} = \frac{2}{3}[/tex]
[tex]0=\frac{2}{3}(-2)+b[/tex]
[tex]0=-\frac{4}{3}+b\\ 0+\frac{4}{3}=-\frac{4}{3}+\frac{4}{3}+b\\ 0+\frac{4}{3}=b\\ \frac{0*3}{3}+\frac{4}{3}=b\\ \frac{4}{3}=b[/tex]
A concert earned $3,745 in ticket sales. One ticket to the concert cost $35.
How many tickets were purchased for the concert?
Answer:
107 concert tickets were bought
Step-by-step explanation:
the angles of a triangle measure 4 degrees,86 degrees, and 90 degrees.
Answer:
It is a right angled triangle.
Step-by-step explanation:
Because it has 90° angle in it.
Hope it helps..!!<3
answer these 3 questoins
Answer:
b) m = 1/2
c) m = 3
d) m = 1/3
Step-by-step explanation:
b) rise = 1, run = 2; m = rise/run, so m = 1/2
c) rise = 3, run = 1; m = rise/run, so m = 3
d) rise = 1, run = 3; m = rise/run, so m = 1/3
Mr. Garcia wants to package 16 math books and
20 science books into boxes. Each box will have the
same number of each type of book, with none left
over. What is the greatest number of books he can
put in each box? How many boxes are needed?
Answer:
four boxes are needed, greatest number 9??
Step-by-step explanation:
16 math and 20 science
4 5
4 5
4 5
4 5
you can divide both by 4
hope that helps
IF YOU CAN ONLY ANSWER ONE ITS OKAY
Find the slope of a line perpendicular to each given line.
13) -3y = 9 - 4x
14) -y - 1 = 6 x
13. M=4/3
14. m=-6
Step-by-step explanation:
.Write 3.4 · 10-4 in standard form
Answer: 0.00034
Step-by-step explanation: 10^-4 would move the decimal left four times.
Explain how you can mentally determine that 35000 divided by 70 is 500
Taylor has $150 to spend on small canvases and paints for her art classes. The art supply store sells a four-pack
of small canvases for $4.00 and paints for $6.25, including tax.
Which inequality represents this situation where is the number of four-packs of canvases and p is the number of
paints Taylor purchases?
O4c+ 6.25p < 150
O 40+ 6.25 > 150
O 6.25c+ 4p > 150
O 6.25c +4p < 150
Answer:A
Step-by-step explanation:
A bowling ball and a balloon might have the same _____ , but a different _____ .
Mass, volume
Weight, density
Volume, mass
Density, weight
Answer:
Volume, Mass
Step-by-step explanation:
Mass is how much stuff something is made of. Volume is how much space an object takes up. 1.
Pls help me with this one
Answer:
It's not proportional
Step-by-step explanation:
The first 2 days are proportional because, they travel at an increment of 60 miles an hour.
But, on the third day, it is not proportional because they travel at an increment of 90 miles an hour.
360 / 4 = 90
120 / 2 = 60
60 / 1 = 60
Answer:
The answer would be yes and no!! But, it would be no!
Step-by-step Explanation:
Yes: On Monday and Tuesday, those would be proportional because they are just counting by 60´s. 60 plus 60 would give you 120.
No: On Wednesday, this ¨person¨ traveled 360 miles in 3 hours. Now, you aren´t counting by 60´s anymore. Even though you started out counting by the 60´s, doesn´t mean you will finish like that.
60´s:
1 hour = 60 mi
2 hours = 120 mi
3 hours should be = 180 miles, not 360 Because:
360 mi would be equal to 6 hours. Do you see where I´m going with this?
Hope that helps you so you can put it in a mathematical way. Have a great day!!
If you get it wrong, plz notify me any way possible...... :)
PLEASEEE HELPPPPPPPPPPPPPPPPPP
Answer:
coordinate is 3rd or -;- coordinates
4x+3y=16 x= -3 and y= -2 Solve the equation
Answer:
Is this question wrong?
Step-by-step explanation:
4x+3y=16
4(-3)+3(-2)=16
-12-6=16
-18=16
can someone please help me with how to find the perimeter and area of this
Answer:
Perimeter = 68ft
Area = 289ft²
Step-by-step explanation:
The lines on each side mean that they are all the same length - this shape is a square.
To find the perimeter, do 17 + 17 + 17 + 17 or 17 × 4. This gives you 68ft.
To find the area, you multiply the length and width → 17 × 17 = 289ft²
Hope this helps!
a
=
670
rounded to the nearest 10
b
=
72.7
rounded to 1 DP
Find the minimum (to 2 DP) of
a
÷
b
Answer:9.22
First, 670 rounded to the nearest ten is:
670
Second, 72.7 rounded to 1DP is:
well, 72.7
a÷b is:
9.2159
9.22 (2 DP)
2. Solve x2 + 2x + 7 = 0 using the Quadratic Formula
Answer:
-1 ± i√7Step-by-step explanation:
x² + 2x + 7 = 0D = 2² - 4*7 = 4 - 56 = -52x = (-2 ± √-28)/2 = (-2 ± 2√-7)/2 = -1 ± i√7Consider the sequence shown
Then describe the pattern