Answer:
x=1
Step-by-step explanation:
7x-1+2x-1=7
7x+2x-1-1=7
9x-2=7
9x=7+2
9x=9
9x/9=9/9
x=1
What is the equation of the following line written in slope-Intercept form?
Answer:
Step-by-step explanation:
(-5,-1) & (-2, -3)
[tex]Slope= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{-3-[-1]}{-2-[-5]}\\\\= \frac{-3+1}{-2+5}\\\\= \frac{-2}{3}[/tex]
m= -2/3 ; (-5,-1)
[tex]y-y_{1}=m(x-x_{1})\\\\y-[-1]= \frac{-2}{3}(x-[-5])\\\\y+1= \frac{-2}{3}(x+5)\\\\y+1=\frac{-2}{3}x+5*\frac{-2}{3}\\\\y+1=\frac{-2}{3}x+\frac{-10}{3}\\\\y=\frac{-2}{3}x+\frac{-10}{3}-1\\\\y=\frac{-2}{3}x+\frac{-10}{3}-\frac{3}{3}\\\\y=\frac{-2}{3}x-\frac{13}{3}[/tex]
Which of the points are solutions to the inequality? Check all that apply.
(-3, 3)
(-2, -2)
(-1, 1)
(0, 1)
(2, 5)
Answer:
(-2,-2)
(0,1)
(2,5)
Step-by-step explanation:
(-3,3) and (-1,1) are not solution even though they lie on the line because the line is dashed and not solid
HELP I NEED HELP FAST. ILL MARK YOU BRAINLIEST.
She plays soccer and golf for a total of 125 minutes:
s + g = 125
She plays soccer 45 minutes more than she plays golf:
s = g + 45 this is for A
B= 40 minutes of golf everyday
C= Yes, because in fact, she plays 85 minutes of soccer everyday, and 85 is greater than 80, so yes she CAN play 80 minutes of soccer every day. Perhaps they meant possible to spend ONLY 80 minutes, then NO, that wouldn't be possible, because then by playing 45 minutes more soccer than golf, she wouldn't have played enough to have 125 total minutes of total play. Technically the way the question is worded, the answer is yes.
I hope this helps!
Evaluate.
9+6²÷3=
whats the answer i want it in words pls
Answer:
21
Step-by-step explanation:
To solve this problem, we need to remember the order of operations. First, you would do 6×6 to get 36, and then 36÷3 to get 12. 9+12 is 21, so the answer is (in words) twenty-one.
Answer:
Twenty-one
Step-by-step explanation:
Follow PEMDAS:
9 + 6^2 / 3
9 + 36 / 3
9 + 12
21
But I put the answer above in standard form…
Hope this helps!
What is the first step you should take to solve this equation:
3 (x − 2) = 2x + 7
Answer:
Distribute the 3 on the left hand side
Step-by-step explanation:
3 (x − 2) = 2x + 7
Distribute the 3 on the left hand side
3x -6 = 2x +7
Then subtract 2x from each side
Lily's car has a fuel efficiency of 8 liters per 100 kilometers. What is the fuel efficiency of Lily's car in kilometers per liter? km L
Answer:
The fuel efficiency of Lily's car in kilometers per liter is 12.5 km/litre.
Step-by-step explanation:
What are the possible degrees for the polynomial function?
Answer:
degrees of 5 or greater
Step-by-step explanation:
peaks counted are 5
supplementary angles measure _____ degrees?
my answer
90°to 180°degrees
NEED HELP PLS!!!
In circle B with \text{m} \angle ADC= 81m∠ADC=81, find the \text{m} \angle ABCm∠ABC.
the perimetee are 81cm and the ratio sides are 2:3:4 find the area of triangle
Answer: 18,27,36
Step-by-step explanation: We have to add all the ratios to get 9 and then divide 81 by 9 and get 9. The multiple 2, 3 and 4 by 9 getting 18, 27 and 36 respectively.
give your answer in detail plzz
Answer:
60% did not germinate.
Step-by-step explanation:
100% = 5
how many percent are 2 of of these 5 ?
2 = 2/5 × 5 = 2/5 × 100% = 40%
all the other seeds are then the rest of 100%.
100% - 40% = 60%
=>
60% of the seeds did not germinate.
but 40% did.
Type the correct answer in the box.
Use numerals instead of words. If necessary, use / for the fraction bar.
AB is parallel to CD, and EF is perpendicular to AB.
(AB,CD,EF and AB all have straight lines over them but my keyboard can't do that)
The number of 90° angles formed by the intersections of and the two parallel lines and is ___
.
Answer:
either 0 or 8, see the step by step for rationale pending the actual question
Step-by-step explanation:
two parallel lines will never intersect.
if it is mean to find the number of 90 degree angles of the two parallel lines and the perpendicular lines, the answer would be 8.
if two lines are perpendicular think of a + sign. there are four angles to make 360 degree so each must be 90 (and the definition of perpendicular).
since there are two parallel lines that intersection happens twice. so 8
On the grid below, draw a right triangle with vertices at E (2,2), F(2,8), and G(10,8). Find the lengths of these three sides. If necessary, round to the nearest tenth
Answer:
The lengths of the sides are 6, 8 and 10.
Step-by-step explanation:
The vertices of a right angles triangle are E (2,2), F (2,8), and G (10,8)
The distance between the two points is
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
So, the lengths of the sides are
[tex]EF=\sqrt{(8-2)^2+(2-2)^2} = 6 \\\\FG=\sqrt{(8-8)^2+(10-2)^2} = 8 \\\\GE=\sqrt{(8-2)^2+(10-2)^2} = 10 \\[/tex]
Write as a mathematical equation.
If 25 is subtracted from a number, the result is 7.
Answer:
[tex]x-25=7[/tex]
Step-by-step explanation:
First, we must understand the operation occurring. The sentence clearly tells us that we are subtracting. The next important step is finding out the order. In the equation 25 is being taken away from the number; this means that the equation should be [tex]x-25[/tex]. Then, it says that the result is 7. This means the expression should equal 7.
Finally, x=32. This can be solved by adding 25 to both sides.
In a class of 25 students, 16 have dark hair, 10 have brown eyes, and 4 have both dark hair and brown eyes. If a student chosen at random from this class has dark hair, what
is the probability they also have brown eyes?
A 0.12
(B) 0.72
C 0.25
D 0.80
What is the solution to the equation V8x = V4+2x ?
p= 2/5
p= 2/3
p= 24
p= 40
Answer:
x = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{8x}[/tex] = [tex]\sqrt{4+2x}[/tex] ( square both sides )
8x = 4 + 2x ( subtract 2x from both sides )
6x = 4 ( divide both sides by 6 )
x = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex]
A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identical components, each with a probability of .2 of failing in less than 1000 hours. The subsystem will operate if any two of the four components are operating. Assume that the components operate independently. Find the probability that a exactly two of the four components last longer than 1000 hours. b the subsystem operates longer than 1000 hours.
Answer:
a. 0.1536
b. 0.9728
Step-by-step explanation:
The probability that a component fails, P(Y) = 0.2
The number of components in the system = 4
The number of components required for the subsystem to operate = 2
a. By binomial theorem, we have;
The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) is given as follows;
P(Y = 2) = [tex]\dbinom{4}{2}[/tex] × 0.2² × 0.8² = 0.1536
The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) = 0.1536
b. The probability that the system last longer than 1,000 hours, P(O) = The probability that no component fails + The probability that only one component fails + The probability that two component fails leaving two working
Therefore, we have;
P(O) = P(Y = 0) + P(Y = 1) + P(Y = 2)
P(Y = 0) = [tex]\dbinom{4}{0}[/tex] × 0.2⁰ × 0.8⁴ = 0.4096
P(Y = 1) = [tex]\dbinom{4}{1}[/tex] × 0.2¹ × 0.8³ = 0.4096
P(Y = 2) = [tex]\dbinom{4}{2}[/tex] × 0.2² × 0.8² = 0.1536
∴ P(O) = 0.4096 + 0.4096 + 0.1536 = 0.9728
The probability that the subsystem operates longer than 1,000 hours = 0.9728
what is the measure of angle NLP
55
90
Answer:
answer is 55° ..........
...yea i just need help (:
Answer:
2/3-4
3 1/3
-1*3.3=-3.3
-3 1/3 divided by 5/6
-4
so a
Hope This Helps!!!
Answer:
-2/3+4÷5/6
-2+12÷3÷5/6
10/3÷5/6
10/3x6/5
2/1x2/1
4/1
4
Step-by-step explanation:
hope this is helpful
can someone please help me with this???
Answer:
B is the correct answer pls mark me brainlist
what is square of 2x-3 help me
Answer:
4x² - 12x + 9
Step-by-step explanation:
Use the foil method.
(2x - 3) (2x - 3)
= 4x²- 6x - 6x + 9
= 4x² - 12x + 9
Answer:
[tex]Square \ of \ (2x - 3) = 4x^2 - 12x + 9[/tex]
Step-by-step explanation:
[tex](a +b)^2 = a^2 + b^2 + 2ab[/tex]
[tex](2x + (- 3))^2 = (2x)^2 + ( -3 )^2 + ( 2\times 2x \times - 3)\\\\[/tex]
[tex]= 4x^2 + 9 + ( -12x)\\\\=4x^2 - 12 x + 9[/tex]
can someone please help me with this?
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {A. \:-54}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
We have,
[tex]'m = 18'[/tex] and [tex]'a = - 3'[/tex]
Substituting the values of [tex]m[/tex] and [tex]a[/tex] in [tex]F=ma[/tex],
➺[tex]\:F = 18 \times - 3[/tex]
➺[tex] \: F = - 54[/tex]
Therefore, the value of F is [tex]\boxed{-54}[/tex].
Note:F = force
m = mass
a = acceleration.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
sum of ages two ages is 25.in five years time Abigails age is twice the age of theJohn.
how old is abigail
how old is John
It takes for plumbers five days to fit central heating in an office block. How long would it take ten plumbers?
Answer:
2 days
Step-by-step explanation:
It takes four plumbers five days
total labor needed
4 * 5 = 20 days
How long would it take ten plumbers?
20 / 10 = 2 days
please answer this question! If you had trouble seeing it the question says to find the area of the rhombus.
d^1=10m;d^2=22m
Answer:
Area rhombus = 110
Step-by-step explanation:
The diagonals of a rhombus intersect at right angles.
They bisect each other.
So the diagonals form 4 right angle triangles whose legs are 1/2 of each of them.
Leg of 1 triangle = 1/2 * 10 = 5
Other leg of 1 triangle = 1/2 * 22 = 11
Area of 1 triangle = (1/2 ) * 5 * 11 = 1/2 * 55 = 27.5
Area of all 4 triangles = 4 * 27.5
Area of all 4 triangles = 110
Area of rhombus = 110
MATH HELP PLEASE show WORK
9514 1404 393
Answer:
5 ft from ceiling9 ft from side wallStep-by-step explanation:
Halfway along the 18' length from side wall to side wall will be 18'/2 = 9' from either wall.
Halfway along the 10' length from floor to ceiling will be 10'/2 = 5' from the ceiling (or floor).
The midpoint of the wall is 5' from the ceiling and 9' from the side wall.
Find the perimeter of the figure below, in inches.
Answer:
The perimeter of the figure is 114.6
Step-by-step explanation:
If we add all of the numbers given to us, we can find the perimeter's value. So 8+12.3+6.2 etc.
Answer:
114.6
Step-by-step explanation:
just add all the sides together
Thang decided to borrow $90 from his local bank to help pay for a car. His loan was for 3 years at a simple interest rate of 40%. How much interest will Thang pay?
Answer:
Step-by-step explanation:
P = 90
r = 40% = 40/100 = 0.4
t = 3 years
It is not clear to me what this means. Is the 40% for each year for 3 years or is the interest rate = 40% period. I know that in some of the poorer countries, this is not an unusual amount to pay for each year he holds the loan.
I will take it as 40% for each year for 3 years.
i = prt = 90 * 0.4 * 3
i = 108
Solve the inequality for x
3^(6x+18)<27^(3x)
Answer:
[tex]\displaystyle x > 6[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsFactoringAlgebra II
Exponential Rule [Powering]: [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex]Solving exponential equationsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle 3^{6x + 18} < 27^{3x}[/tex]
Step 2: Solve for x
Rewrite: [tex]\displaystyle 3^{6x + 18} < 3^{3(3x)}[/tex]Set: [tex]\displaystyle 6x + 18 < 3(3x)[/tex]Factor: [tex]\displaystyle 3(2x + 6) < 3(3x)[/tex][Division Property of Equality] Divide 3 on both sides: [tex]\displaystyle 2x + 6 < 3x[/tex][Subtraction Property of Equality] Subtract 3x on both sides: [tex]\displaystyle -x + 6 < 0[/tex][Subtraction Property of Equality] Subtract 6 on both sides: [tex]\displaystyle -x < -6[/tex][Division Property of Equality] Divide -1 on both sides: [tex]\displaystyle x > 6[/tex]Answer:
[tex]x>6[/tex]
Step-by-step explanation:
When given the following equation;
[tex]3^(^6^x^+^1^8)<27^(^3^x^)[/tex]
One is asked to solve for ([tex]x[/tex]). The inequality has exponents, hence, it appears daunting at first, however, the easiest way to deal with exponents is to bring them to the same base. This allows for one to have the ability to treat the exponents like an ordinary number. Since ([tex]27=3^3[/tex]) one can rewrite ([tex]27^(^3^x^)[/tex]) as ([tex]3^3^*^(^3^x^)[/tex]). This is possible because raising a number to an exponent when it already has an exponent is the same as multiplying the two exponents. Rewrite the inequality in this format;
[tex]3^(^6^x^+^1^8)<3^3^(^3^x^)[/tex]
Simplify,
[tex]3^(^6^x^+^1^8^)<3^(^9^x^)[/tex]
Since the bases are the same they no longer have any relevance, so one can ignore the bases and only work with the exponents,
[tex]6x+18<9x[/tex]
Now solve this inequality like a normal inequality. Use inverse operations;
[tex]6x+18<9x[/tex]
[tex]18<3x[/tex]
[tex]6<x[/tex]
2. Round off the following numbers to two decimal places:
b) 4,5873
c) 32,095
a) 56,3456
d) 13,997
Answer:
I think you mean significant figures
Step-by-step explanation:
460003200056000014000