Answer:
- True
- True
- False
- True
Step-by-step explanation:
- Subtracting the equation will get rid of y variable therefore it's a correct and logical first step to solve the system
- The solution is indeed (-3, -3) as if we substitute these values in both equation, the equation will be correct and valid.
[tex]-2(-3)+(-3)=3[/tex] (Correct)
[tex]3(-3)+2(-3)=-15[/tex] (Correct)
- We have already determined the logical first step. Multiply by -2 will not get rid of any of the variables. Therefore, this is false.
- The solution can be written as one value since x = y = -3. Therefore, this statement is true.
An insurance company advertises that 90% of their accident claims are settled within 30 days. A consumer group randomly selects 104 of last year’s claims from the company’s files, and finds that only 89 of them were settled within 30 days. Is the company guilty of false advertising?
Answer:x
Step-by-step explanation:
At a car garage there are 100 vehicles, 60 of which are cars, 30 are vans and the remainder are
lorries. If every vehicle is equally likely to leave, find the probability of a lorry leaving first.
Answer:
there are 10 of the other kind of cars
Step-by-step explanation:
Answer:
10%
Step-by-step explanation:
since there are 100 cars it makes it easy to make into a percentage. so since there are only 10 cars the awnser is 10%
Given that cos θ = –12∕13 and θ is in quadrant III, find csc θ.
Question 20 options:
A)
–13∕5
B)
13∕5
C)
5∕13
D)
–5∕13
Answer:
A
Step-by-step explanation:
We are given:
[tex]\displaystyle \cos(\theta)=-\frac{12}{13},\,\theta\in\text{QIII}[/tex]
Since cosine is the ratio of the adjacent side over the hypotenuse, this means that the opposite side is (we can ignore negatives for now):
[tex]o=\sqrt{13^2-12^2}=\sqrt{25}=5[/tex]
So, the opposite side is 5, the adjacent side is 12, and the hypotenuse is 13.
And since θ is in QIII, sine/cosecant is negative, cosine/secant is negative, and tangent/cotangent is positive.
Cosecant is given by the hypotenuse over the opposite side. Thus:
[tex]\displaystyle \csc(\theta)=\frac{13}{5}[/tex]
Since θ is in QIII, cosecant must be negative:
[tex]\displaystyle \csc(\theta)=-\frac{13}{5}[/tex]
Our answer is A.
Answer:
A
Step-by-step explanation:
I took the quiz!
A gym membership is offered in January for 14.99 per month. If you pay upfront for the year, you are given a 15% discount on the monthly fee. How much money will you save after a year by paying upfront rather than monthly
Answer:
$27 approx
Step-by-step explanation:
Given data
Membership fee= 14.99 per month
for a year the fee is 14.99*12= 179.88
discount = 15%
=15/100*179.88
=0.15*179.88
=26.982
Hence for a year, you will save $27 approx
factor the algebric expression 32a+36
Answer:
a = 1.125
is your compleate full answer
Answer:
the factorised form is 4(8a+9)
I NEED HELP NOW
Mario and Nathan collect model airplanes. Mario's collection is eight less than three times the size of Nathan's collection.
Write an equation to represent the size of Mario's collection in relationship to the size of Nathan's collection.Letm represent the size of Mario's collection and let n represent the size of Nathan's collection.
Answer:
shouldn't it be 1+1=x(6÷2)
what letter is used to represent scale factor ?
I'm Super Duper Sorry But Unfortunately I Don't Know The Answer I Need Points Because I Have A Timed Test And I Need Answers For My Questions Again I'm Super Sorry I Wish I Could Help But I'm Desperate. : (
Maria's Family brought a truck with a value of t dollars when it was first purchased. The value has since decreased by 24%
Answer:
t - (t x24%)
Step-by-step explanation:
Value of truck at the time of purchase was t dollars
value decreased by 24%
current value = t x 24%
t - (t x 24%).
current value = t -(t x 24%).
Write the equation of the line in slope-intercept form if m = 16 and y-intercept = (0,9) *
Answer:
y=16x+9
Step-by-step explanation:
y-y1=m(x-x1)
y-9=16(x-0)
y-9=16(x)
y-9=16x
y=16x+9
What is the solution to the system of equations?
{y=5x−10y=−3x+14
Answer:
x = 3 and y = 5
Step-by-step explanation:
Given equations are :
y=5x−10 ..(1)
y=−3x+14 ...(2)
Subtract equation (2) from (1).
y-y = 5x−10-(−3x+14)
0 = 5x-10+3x-14
0= 8x-24
8x = 24
x = 3
Put the value of x in equation (1).
y=5(3)−10
= 15-10
y = 5
So, the values of x and y are 3 and 5 respectively.
A and b are two similar cylindrical containers surface area of container A : surface are of container b 4:25
*Complete Question:
A and B are two similar cylindrical containers.
Surface area of container A: surface area of container B = 4:25
Warda fills container A with oil.
She then pours all the oil into container B.
Warda repeats this and stops when container B is full of oil.
Work out the number of times that Warda fills container A with oil.
Answer/Step-by-step explanation:
We are given that the ratio of surface area of cylinder A to cylinder B = 4:25
To find out the number of times Warda fills cylinder A with oil, we need to find the ratio of the volume of cylinder A to cylinder B.
✔️First, find the linear measurement using the ratio of their surface area by taking their square root:
4:25 = √4/√25 = 2/5
Linear measurement of A to B = 2:5
The ratio of their volume = the cube of the ratio of their linear measurement
Thus, the ratio of the volume of A to B = 2³:5³ = 8:125
For Cylinder B to be filled, it would require 125/8 = 15.625 of cylinder A filled with oil. That means Warda would have to fill Cylinder A with oil for approximately 15 times, then an extra fraction of cylinder A to completely fill cylinder B with oil.
Jason predicted that 277 students would attend the school dance. The actual number was 250. What is the precent error of Jason's prediction?
Answer:
9.7%
Step-by-step explanation:
Given data
Expected value= 277
Actual value= 250
%Error= Actual- Expected/Expected *100
%Error= 250-277/277 *100
%Error= 27/277 *100
%Error= 0.097*100
%Error= 9.7
Hence the error is 9.7%
3
x. 3x²+x-3=0
Find the zeros
Answer:
The zeroes of this polynomial are [tex]x_{1} \approx 0.847[/tex] and [tex]x_{2} \approx -1.180[/tex].
Step-by-step explanation:
Let [tex]3\cdot x^{2}+x - 3 = 0[/tex], the quickest and most efficient approach to find the zeroes of this second order polynomial is by Quadratic Formula. For all [tex]a\cdot x^{2}+b\cdot x + c = 0[/tex], roots are determined by:
[tex]x_{1,2} = \frac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex] (1)
Where [tex]a[/tex], [tex]b[/tex], [tex]c[/tex] are coefficients of the polynomial.
If we know that [tex]a = 3[/tex], [tex]b = 1[/tex] and [tex]c = -3[/tex], then roots of the polynomial are, respectively:
[tex]x_{1,2} = \frac{-1\pm\sqrt{1^{2}-4\cdot (3)\cdot (-3)}}{2\cdot (3)}[/tex]
[tex]x_{1,2} =\frac{-1\pm \sqrt{37}}{6}[/tex]
The zeroes of this polynomial are [tex]x_{1} \approx 0.847[/tex] and [tex]x_{2} \approx -1.180[/tex].
I neee help plz
Solve by factoring.
5c^2 - 31c= 28
The solution is c=
(Simplify your answer.
the answer is,
[tex]c(5c - 31)[/tex]
Help me with this thanks!
Answer:
C
Step-by-step explanation:
C is the only one that isn't increasing or decreasing
brainliest?
How much change should you get back if you give the clerk 5 dollars for a box of cereal that cost $2.85
Answer:
3.15
Step-by-step explanation:
If you take away 2.85 dollars away from 5 dollars you'd get 3.15 dollars
Answer:
$2.15
Step-by-step explanation:
5 - 2.85 is 2.15. So, the amount of change you should receive is $2.15.
Hats Off
The school's baseball team plans on selling hats for a
fundraiser. They have called two companies, who have
each given the team a quote on the cost to make hats.
One company, Flip 'Ur Lid, charges a $24 design fee
and $2 per hat.
Explain how you can calculate the cost of ordering 4
hats
Answer:
So they have a 24 dollar design fee, and 2 dollars per hat. You have to calculate the cost of 4 hats that are 2 dollars each, plus the design fee of 24 dollars
Step-by-step explanation:
Which set is closed under subtraction?
simplify 3xy² - 5x²y - 9xy² - 8x²y - 3x²
Answer:
-13x^2y - 6xy^2 - 3x^2
Step-by-step explanation:
Read the power and then check all that apply.
34 = 3 × 3 × 3 × 3
A power is a shorter way to write repeated multiplication.
The base is 3.
The base is 4.
The exponent is 3.
The exponent is 4.
The exponent tells you to multiply the 3 together 4 times.
The exponent tells you to multiply the 4 together 3 times.
Answer:
The answer is A,B,E, and F
Step-by-step explanation:
How do you solve the following equation for x? *
A: Add 2 to both sides to solve for x
B:Subtract 2 from both sides to solve for x
C:Multiply both sides by 2 to solve for x
D:Divide both sides by 2 to solve for x
Answer:
D: Divide both sides by 2 to solve for x
Step-by-step explanation:
Convert 27 ounces into grams.
Hint: 1 ounce=28.35 grams
Answer:
765.437 grams
Step-by-step explanation:
as 1 ounce =28.35g
so
27ounce=28.35×27
=765.437
Converting 27 ounces into grams is: 765.437grams.
Here, we have,
given that,
we have to Convert 27 ounces into grams.
we know that,
Since 1 ounce is equal to 28.35 grams.
so, we get,
1 ounce=28.35 grams
all we need to do is to multiply 27 by 28.35 grams.
i.e. 28.35×27 =765.437
The answer will be 765.437grams.
so, we get,
as 1 ounce =28.35g
so, 27ounce=28.35×27 =765.437g
Learn more about the unit conversion here:
brainly.com/question/14350438
#SPJ6
What is the determinant of the coefficient matrix of the system 0 28 130 131
Answer:
A) No, because the determinant of the coefficient matrix is 0
Step-by-step explanation:
I think tell me if it's right
Answer:
C - 130
Explanation:
Hope you have a great day!
If
f(x) = 2x3 + 6, which function satisfies
(fof-1) (x) = x and
(f-10 f)(x) = x? (1 point)
Answer:
Both are true.
Step-by-step explanation:
If f(x) = 2x³ + 6
To find the inverse of the given function,
Rewrite the function in the form of an equation,
y = 2x³ + 6
Interchange the variables x and y,
x = 2y³ + 6
Solve for y,
2y³ = x - 6
y = [tex]\sqrt[3]{\frac{(x-6)}{2}}[/tex]
Rewrite the equation in the form of a function,
[tex]f^{-1}(x)={\sqrt[3]{\frac{(x-6)}{2}}[/tex]
[tex](fof^{-1})(x)=f[f^{-1}(x)][/tex]
= [tex]2(\sqrt[3]{\frac{(x-6)}{2}})^3+6[/tex]
= (x - 6) + 6
= x
[tex](f^{-1}of)(x)=f^{-1}[{f(x)][/tex]
[tex]={\sqrt[3]{\frac{(2x^3+6-6)}{2}}[/tex]
[tex]={\sqrt[3]{\frac{(2x^3)}{2}}[/tex]
= x
Therefore, both the statements are true.
6. If rls and mZ1 = 35º, what is mZ2?
2
1
S
please help!!
Answer:
55
Step-by-step explanation:
along line s, r intersects it, and you can see a right angle
90+35+angle 2 =180
you end up with 55, which is the measure
Through (0,1) and with slope of 1.5 write an equation
Answer:
y=1.5x+1
Step-by-step explanation:
The dimensions of a wooden bench shaped like a rectangular prism are 6 feet by 3.5 feet by 2.5 feet. What is the
volume of the bench in cubic feet?
14.75 Ft
® 52.5 ft
© 12 ft?
D 36 ft?
Answer:
12
Step-by-step explanation:
The school sells 240 cookies. ¼ of the cookies had chocolate chips, ½ of the remaining cookies had raisins, and the rest were peanut butter. How many cookies were peanut butter?
Answer:
90 peanut butter
Step-by-step explanation:
Total number of cookies [tex]=240[/tex]
Number of chocolate cookies [tex]=\frac{1}{4}(240)=60[/tex]
Therefore,
Number of remaining cookies [tex]=240-60=180[/tex]
Number of raisins [tex]=\frac{1}{2}(180)=90[/tex]
So,
Number of peanut butter [tex]=180-90=90[/tex]
someone please help
Answer:
[tex]\displaystyle B \approx 36.87^\circ[/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 EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] cosθ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Identify Variables
Angle θ = B
Adjacent Leg = 4
Hypotenuse = 5
Step 2: Solve for θ
Substitute in variables [cosine]: [tex]\displaystyle cosB^\circ = \frac{4}{5}[/tex][Equality Property] Trig inverse: [tex]\displaystyle B^\circ = cos^{-1}(\frac{4}{5})[/tex]Evaluate: [tex]\displaystyle B = 36.8699^\circ[/tex]Round: [tex]\displaystyle B \approx 36.87^\circ[/tex]Please help I have no clue how to do it
A rectangular cake pan is 13 inches by 9 inches by 2 inches. A round cake pan has a
diameter of 8 inches and a height of 2 inches. Which will hold more batter, one
rectangular pan or two round pans?
Answer:
The rectangular pan will hold more batter
Step-by-step explanation:
To find the volume of a rectangular prism, such as the first cake pan, you need to multiply all of the dimensions. The equation looks like this: "V = l * w * h" substituting the variables with the numbers would make it say "13 * 9 * 2" which would be 234 [tex]in^{3}[/tex]
To find the volume of a cylinder, the equation is "V=π[tex]r^{2}[/tex]h". The radius is half the diameter, so "r" would be 4, being half of 8. The substituted equation would read "π[tex]4^{2}[/tex]2", making the cylinder's volume roughly 100.53 [tex]in^{3}[/tex]
When you take those two numbers, you are able to see that 234 is bigger than 100.53, therefore making the rectangular pan larger.