Let get x from the first equation
-4x=+2y-10
x=-1/2y + 5/2
Now substitute the x in the second equation
3(-1/2y+5/2)+y=4
-3/2y + 15/2 + y =4
Move the terms without the y to the other side
-3/2y + y = -15/2 +4
Now multiple both side by 2
-3y +2y = -15+8
-y = -7
Y = 7 (ANSWER)
Now we substitute the y in the first equation so we can get the x
x = -1/2 (7) + 5/2
x = -7/2 + 5/2
x = -2/2
X = -1 (SECOND ANSWER)
Solve for x, round to the nearest tenth. find x x =
Answer:
64.2
Step-by-step explanation:
Use tan to find the measure of x.
tan = 0pposite/adjacent
opposite = 29
adjacent = 14
so:
[tex]tan(x)=29/14\\x = tan^{-1} (29/14)\\x = 64.2[/tex]
Answer:
x = 64.2°
Step-by-step explanation:
tan x° = 29/14
14 · tan x° = 29
tan x° = 29/14
arctan(x) = 64.2°
which equation could have been used to create this table
Answer:
what table? there is no picture attached or answer choices.
Step-by-step explanation:
write the equation of a line that is parallel to y= 1/2x -4 and that passes through the point (9, -6)
Answer:
Step-by-step explanation:
y = ½x-4
slope of line is ½
slope of any parallel to the line is also ½
point-slope equation for line of slope ½ that passes through (9,-6):
y+6 = ½(x-9)
Can someone please help me !!
Answer:
A
Step-by-step explanation:
7 - (-7/5) x 5 =
7 - (-7) =
7 + 7 = 14
Hope that helps!
simplify (2x+y)(3x²+2xy+5y²)
Answer:
Step-by-step explanation:
6x3 +4x2y + 10xy2 + 3x2y + 2xy2+ 5y3
Solving like terms
6x3 + 7x2y + 12xy2 + 5y3
The simplified form of the expression is 6x³+5y³+12xy²+7x²y
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, (2x+y)(3x²+2xy+5y²), we need to simplify it,
(2x+y)(3x²+2xy+5y²)
= 6x³+4x²y+10xy²+3x²y+2xy²+5y³
= 6x³+5y³+12xy²+7x²y
Hence, the simplified form of the expression is 6x³+5y³+12xy²+7x²y
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Which expression is equivalent to 9x + 4y +5+20 + 8?
17 + 6 + 5
130 + 7 + 8
110 + 4y + 13
90 | 6y + 13
Step-by-step explanation:
11x+4y+13
Hope it helps you
how many terms are in the expression 5x+3y-2z
Answer:
three?
Step-by-step explanation:
3
Thats the answer
.
.
.
.
.
During a charity walk, lunch was served from 12:00 PM until 2:10 PM. How long was lunch served?
Answer:
2 hours and 10 minutes
Step-by-step explanation:
Answer:
Step-by-step explanation:
2 hours and 10 mins!
Lillian drew a design inside a circle.
Which measurement is closest to the
circumference of the circle?
F 25 cm H 50 cm
G 40 cm
J 32 cm
Answer:
H (50cm)
Step-by-step explanation:
Since 8 is the radius, 16 is the diameter. The formula for the circumference of a circle is diameter times pi, so 16pi is around 50
A man ears $15.50 per hour with time and a half for overtime and he worked 46 hours during a recent week. Find his gross pay for the week
The man's gross pay for the week was $
(Round to the nearest cent as needed)
Answer:
525267262525226
Step-by-step explanation:
594944+757548484-848484%
ANSWER THEM PLEASEE I HAVE 20 MINSS
Tara earned $320 this month and saved $96. Write a ratio statement to describe how much Tara saved versus earned.
Answer:
3: 10
Step-by-step explanation:
saved: earned
96: 320
simplify by dividing both sides by the same thing just like a fraction:
96: 320
24: 80
6: 20
3: 10
A deck of 40 cards contains 20 blue and 20 red cards. Each color has cards numbered 1 to 20.
Which events are independent? Choose all that apply.
Answer:
A red 5 is chosen from the deck. The card is put back into the deck and the a red card is chosen.
Step-by-step explanation:
An independent event is one whose outcome is not dependent on any other event. There are two types of cards in the deck. If a red card is selected it will be from the series 1 - 20, if the card is put back into deck and then again a red card is selected it will be again from the series 1 - 20. This is an independent event since its outcome is same irrespective of the events.
This is an independent event since its outcome is the same irrespective of the events.
What are independent and dependent variables?Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on the other.
If a variable is taking its values independently of any visible direct cause, then that variable is called an independent variable.
The variables that take their values based on some other variables' values are called dependent variables.
A deck of 40 cards contains 20 blue and 20 red cards. Each color has cards numbered 1 to 20.
This is an independent event since its outcome is the same irrespective of the events.
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Calculate what is 365 {365- (365: (365+365)}}?
Step-by-step explanation:
365{365-(365:(365+365)}}
= 365{365-(365:730)}
= 365{365-0.5}
= 365{364.5}
= 133,042.5
solve for x
35+.8x=43-7x
Answer:
x = 1.02564
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/CoefficientsStep-by-step explanation:
Step 1: Define
35 + 0.8x = 43 - 7x
Step 2: Solve for x
[Addition Property of Equality] Add 7x on both sides: 35 + 7.8x = 43[Subtraction Property of Equality] Subtract 35 on both sides: 7.8x = 8[Division Property of Equality] Divide 7.8 on both sides: x = 1.02564calcular
a. [1/3+4] =
b. [8-15+4]=
c. 4-√81/ √36=
Answer:
a. 1/7
b. -3
c. -50
Find angle Picture below
Answer:
14°
Step-by-step explanation:
Need 1 more brainliest
Let (12,-5) be a point on the terminal side of an angle 0. Find the values of sin e, cose, and tan
Answer:
Sin = -5/13
Cos = 12/13
Tan = -5/12
Step-by-step explanation:
Write the fraction as a product of a whole number and a unit fraction.
7/8
Factor the common factor out of each expression 64p - 24
Answer: 8(8p-3)
Step-by-step explanation:
64p and 24 are both divisible by 8
64p/8 = 8p
24/8 = 3
8(8p) - 8(3)
Distributive property
8(8p-3)
Smoking males in a given area have a mean life expectancy of 68.5 years, with a standard deviation of 5.3 years. The distribution of life expectancy is not assumed to be symmetric.
Between what two life expectancies does Chebyshev's Theorem guarantee that we will find at least 89% of smoking males?
Round your answers to the nearest tenth. Enter the bounds in ascending order.
Answer:
52.6, 84.4
Step-by-step explanation:
Chebyshev's Theorem guarantee that we will find at least 89% of smoking males in the life expectancy range [52.6, 84.4].
What is Chebyshev's inequality?In probability theory, Chebyshev’s inequality guarantees that, for a wide class of probability distributions, no more than a certain fraction of values can be more than a certain distance from the mean.
Let X be a random variable with mean μ with a finite variance σ², then for any real number k > 0, P(|X-μ| < kσ) ≥ 1-1/k².
Given,
Mean life expectancy = μ = 68.5 years
Standard deviation = σ = 5.3 years
P(|X-μ| < kσ) ≥ 1-1/k²
P(|X-68.5| < 5.3k) ≥ 1-1/k²
P(|X-68.5| < 5.3k) ≥ 0.89
[tex]1 - \frac{1}{k^{2} } = 0.89[/tex]
[tex]\frac{1}{k^{2} } = 0.11\\ \\\frac{1}{k^{2} } = \frac{1}{9} \\\\k = 3[/tex]
Between the following two life expectancies does Chebyshev's Theorem guarantee that we will find at least 89% of smoking males:
= [μ - 3σ, μ + 3σ]
= [68.5 - 3*5.3, 68.5 + 3*5.3]
= [52.6, 84.4]
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Prove that
sinAtanA/1-cosA
= 1 + SECA
Answer:
The proof is done in the step-by-step explanation below.
Step-by-step explanation:
We are given the following identity:
[tex]\frac{\sin{A}\tan{A}}{1-\cos{A}}[/tex]
And we have to show that this is equals to:
[tex]1 + \sec{A}[/tex]
Multiplying numerator and denominator by the conjugate of the denominator:
[tex]\frac{\sin{A}\tan{A}}{1-\cos{A}} \times \frac{1+\cos{A}}{1+\cos{A}}[/tex]
[tex]\frac{\sin{A}\tan{A}(1+\cos{A})}{1 - \cos^2{A}}[/tex]
We use these following identities:
[tex]\sin^2{A} + \cos^2{A} = 1[/tex]
So
[tex]1 - \cos^2{A} = \sin^2{A}[/tex]
Also:
[tex]\tan{A} = \frac{\sin{A}}{\cos{A}}[/tex]
Then
[tex]\frac{\sin{A}\sin{A}(1+\cos{A})}{\cos{A}\sin^2{A}}[/tex]
[tex]\frac{\sin^2{A}(1+\cos{A})}{\cos{A}\sin^2{A}}[/tex]
[tex]\frac{1 + \cos{A}}{\cos{A}}[/tex]
[tex]\frac{1}{\cos{A}} + \frac{\cos{A}}{\cos{A}}[/tex]
[tex]\frac{1}{\cos{A}} + 1[/tex]
Since:
[tex]\sec{A} = \frac{1}{\cos{A}}[/tex]
We have that:
[tex]1 + \sec{A}[/tex]
Thus, the proof is done.
A local pizza place sends you online coupons. You can't combine the coupons and are trying to choose from two deals: $7.41 per medium two-topping pizza or 22% off the regular price of $11 for a medium two-topping pizza. Which deal is better and when?
Answer:
Step-by-step explanation:
W1
A dollar bill is 15.5 cm long and 6.5 cm wide. What is the area of
a dollar bill?
Answer:
I believe the answer is 100.75cm
Find the probability of the indicated event if P(E) = 0.25 and P(F) = 0.40.
Find P(E or F) if P(E and F) = 0.05.
P(E or F) = (Simplify your answer.)
Answer:
[tex]P(E\ or\ F) = 0.60[/tex]
Step-by-step explanation:
Given
[tex]P(E) = 0.25[/tex]
[tex]P(F) = 0.40[/tex]
[tex]P(E\ and\ F) = 0.05[/tex]
Required
Determine P(E or F)
This is calculated using:
[tex]P(E\ or\ F) = P(E) + P(F) - P(E\ and\ F)[/tex]
[tex]P(E\ or\ F) = 0.25 + 0.40 - 0.05[/tex]
[tex]P(E\ or\ F) = 0.60[/tex]
What's 2|–9| – |–2|? Question 14 options: A) –18 B) –20 C) 16 D) 20
16
find the absolute values ie. 9 and 2
multiply 9 by 2 and subtract 2 by 18
HOW DO YOU FIND PERCENT INCREASE
Answer:
Step-by-step explanation:
First: work out the difference (decrease) between the two numbers you are comparing.
Decrease = Original Number - New Number
Then: divide the decrease by the original number and multiply the answer by 100.
% Decrease = Decrease ÷ Original Number × 100
If your answer is a negative number, then this is a percentage increase
What was the subject about cartoon “Andrew Johnson kicking the Freedmen’s Bureau” by Thomas Nast
Answer:
Thomas Nast drew a cartoon of "The Grand Masquerade Ball" featuring large sketches of many of the celebrities of the day
Step-by-step explanation:
TUT
Find the prime factorization of 1,148 using a factor tree
Answer:
Prime Factors of 1148 = 2, 2, 7, 41
Which is the same as = 2² x 7 x 41
Find angle picture below
Answer:
T=62
U=33
V=85
Step-by-step explanation:
