Answer:
a) 10cm
b) 11.6 cm( approximately)
Step-by-step explanation:
Use pythagorean theorem
A study found that 23% of the cars manufactured last year were SUVs, 13% of the cars manufactured were white, and 2% of the cars manufactured were white SUVs.
To the nearest whole percent, what is the probability that a car is an SUV, given that it is white?
9%
15%
21%
57%
Answer:
15%
Step-by-step explanation:
In a video store, a DVD that sells for $20 is marked down to $14. What is the
percent discount? *
Explain how you got your answer.
please help
g(x) = -x - 1
Answer:
g(x) = -1
Hope this helps.
Step-by-step explanation:
3. Q3) What is the smallest number of identical squares
that will fit in this rectangle?
Answer:
Minimum 3 squares.
Step-by-step explanation:
Let the number of identical squares that will fit in the rectangle = x
Sum of the area of the squares = Area of the given rectangle
x(Side length of the square)²= (length of the rectangle × width of the rectangle)
x(S)²= (40 × 90)
x(S)²= 3600 cm²
For the minimum numbers of the squares,
If x = 1,
S = √3600 = 60 cm
But the length of the rectangle is 40 cm, so can't be fitted in the rectangle.
If x = 2,
2S² = 3600
S² = 1800
S = √1800
S = 42.43 cm
Since, length of the rectangle is 40 cm, so the given square can't be fitted in the rectangle.
If x = 3,
3S² = 3600
S² = 1200
S = √1200
= 34.64 cm
Therefore, minimum 3 squares can be fitted in the given rectangle.
Evaluate the expression 36.6 – 24 x 22 ÷ 3
Answer:
-139.4
Step-by-step explanation:
36.6 - 528 ÷ 3 = 36.6 - 176
= -139.4
Find the value of 64 3/2
Answer:
65 1/2 or 65.5
Step-by-step explanation:
3/2 = 1.5 or 1 1/2
Answer:
65 1/2
Step-by-step explanation:
URGENT! Can someone please help me?
Answer:
An equation of the circle with centre (5,7) and radius 2 is [tex]\mathbf{(x-5)^2+(x-7)^2=4}[/tex]
Option A is correct.
Step-by-step explanation:
A circle in the xy-plane has centre (5,7) and radius 2. Which of the following is an equation of the circle.
The equation of circle is of form: [tex](x-h)^2+(x-k)^2=r^2[/tex] where (h,k) is centre and r is radius.
We have centre (5,7) so, we have h = 5 and k = 7
We have radius = 2 so, r = 2
Putting values in the equation and finding the required equation:
[tex](x-h)^2+(x-k)^2=r^2\\(x-5)^2+(x-7)^2=(2)^2\\(x-5)^2+(x-7)^2=4[/tex]
So, an equation of the circle with centre (5,7) and radius 2 is [tex]\mathbf{(x-5)^2+(x-7)^2=4}[/tex]
Option A is correct.
VOTING BRAINLIEST 10 POINTS! Rectangle PQRS and its side lengths are shown in the figure.
Which side lengths belong to a rectangle that is NOT similar to rectangle PQRS?
A. 4.5 ft by 3 ft
B. 13.5 ft by 9 ft
C. 6 ft by 4 ft
D. 12 ft by 9 ft
Answer:
its 100% d.)
Step-by-step explanation:
plz mark me
please help me!!!!!
one month Ahmad rented 3 movies and 5 video games for a total of $42. The next Month he rented 9 movies and 7 video games for a total of $72 . find the rental cost for each movie in each video game
Answer:
The rental cost of one movie is $2.25 and the rental cost of one video game is $6.25
Step-by-step explanation:
Let the rental cost of 1 movie be m.
Let the rental cost of 1 video game be v.
Step-by-step explanation:
A king owned land outside of his castle he has partitioned the land to give as gifts to his 5 sons what fraction of land did the king give to each of his sons
Answer:
1/5
Step-by-step explanation:
since there is 5 sons they divide the land in 5.
Find the equation of the line shown
Step-by-step explanation:
at 3=3
at 0=9
at 4=1
[tex]y = ax + b[/tex]
[tex]1 = 4a + b \\ 3 = 3a + b \\ 2 = - a \\ a = - 2 \\ 1 = - 4 \times 2 + b \\ b = 1 + 8 = 9 \\ y = - 2x + 9[/tex]
Answer:
y=-2x+9
Step-by-step explanation:
From looking at the line you can already tell that the slope is going to be negative, and the y-intercept is going to be 9, since that's where y is when x is 0. You can see that when x is one, y is 7. When x is 2, y is 5. And when x is 3, y is 3.
So:
0: 9
1:7
2:5
3:3
And the difference of y over the difference of x is the slope
-2/1=-2
So the slope is -2
Therefore, putting the equation together makes:
y=-2x+9
Hope this helps!
Convert the equation `8x-4y=24` into slope intercept form. SHOW WORK TO SUPPORT.
8x-4y=24
sub 8x from both sides
-4y=24-8x
sub 24
-4y-24=-8x
add -4y
-24=4y=8x
Answer:
y=2x-6
Step-by-step explanation:
First isolate the variable. You're trying to find y, so you need to ultimately leave y by itself.
8x-4y=24
Subtract 8x from both sides to cancel out the 8.
You should have the equation below left:
-4y= -8x+24
Now, divide everything by negative for so that you are only left with the y.
You should have the equation below left.
y=2x-6
I hope this helped:)
What is the constant in the expression -18 - 3a
Answer:
'-18' is the constant in the expression -18 - 3a.
Step-by-step explanation:
We know that in an algebraic expression the constant term has a fixed value and it can not be changed.
For example,
The expression x + 2 contains two terms, x and 2. Here, '2' is a constant term because it has a fixed value and cannot be changed.
IN OUR CASE,
Given the expression
-18 - 3a
As '-18' is a fixed number and its value can not be changed.
Therefore, '-18' is the constant in the expression -18 - 3a.
Your thrteater company sells tickets to their holiday showing off the nutcracker. Tickets cost $5 each. Tickets for adults cost $8 each. The total sales on opening night is $720. Write an equation to show the total sales as a combanation of kid tickets and adult tickets sold.
Answer:
5x + 8y = 720
Step-by-step explanation:
Let the :
Number of kid tickets sold = x
Number of adult tickets sold = y
Hence:
Tickets for kids cost $5 each.
Tickets for adults cost $8 each.
The total sales on opening night is $720.
The equation to show the total sales as a combanation of kid tickets and adult tickets sold is:
$5 × x + $8 × y = $720
5x + 8y = 720
Therefore, the equation to show the total sales as a combanation of kid tickets and adult tickets sold is
5x + 8y = 720
Which of the following expression(s) are fourth-degree trinomials? Select all that apply.
A. 3x²y + 5x3y + 6yA
B. 6y + 5x3 + 1
C. 5xy - 5x?y2 + 7
D. 3y2 + 3x3y2
Answer:
Options A and B are polynomial of the fourth degree
Step-by-step explanation:
In this problem, option
A. 3x2y + 5x3y + 6y4
Is a Polynomial of the fourth degree because of the 6y⁴ term which is the highest degree
Also the option
B. 6y4 + 5x3 + 1 has a 6y⁴ term which indicates that the polynomial is a fourth degree polynomial
What is the degree of a polynomial?
In mathematics, the degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer
5.) g(x) = -4x + 2. Find x when g(x) = 22.
I'm on a timed test and I wasn't able to study because of personal reasons
Answer:
x = -5
Step-by-step explanation:
If g(x) = 22 and g(x) = -4x + 2, then -4x + 2 = 22.
Isolate x.
-4x = 22 - 2
= -4x = 20
= x = 20 ÷ -4
= x = -5
The parent function of the function g(x) = (x – h)2 + k is f(x) = x2. The vertex of the function g(x) is located
at (9, –8). What are the values of h and k?
9514 1404 393
Answer:
(h, k) = (9, -8)
Step-by-step explanation:
The function g(x) is "vertex form" for a quadratic whose vertex is (h, k). We are told the vertex is (9, -8), so we have ...
(h, k) = (9, -8) . . . . the values of h and k
What is the value − 3 1/4 ∙ 2 1/3
Answer:
the value of this is-217÷4 = -54.25
Multiplying binomials using area model.
Answer:
4x²+35x+24
Step-by-step explanation:
FOIL the binomials and simplify
4x^2 + 35x + 24
That's all I know.
What is the value of x?
Answer:
answer is 6............
Which gives the prices in order, from least to greatest
Answer:
is there a picture to go with the problem?
Evaluate
2-8÷-2-3-12÷-6×-2
Answer:
7
Step-by-step explanation:
2-8÷-2-3-12÷-6×-2
2 - -4 - 3 - 2 x -2
2 + 4 + -3 - -4
6 + -3 + 4
3 + 4
7 :)
Select ALL the correct answers.
Which equations have a greater unit rate than the rate represented in the table?
Y= 5/7x
Y= 3/4x
Y= 1/3x
Y= 7/9x
Y= 7/11x
Answer:
y = 5/7 x
y = 7/9 x
y = 3/4 x
Step-by-step explanation:
Firstly, let us get the unit rate on the table
That would be;
y/x = 2/3
y = (2/3)x
so the fractions greater than 2/3 will
be our answer
3/4 is greater
7/9 is greater
5/7 is greater
Althea paid $5.00 each for two bracelets and later sold each for $15.00. She paid $8.00 each for three bracelets
and sold each of them for $9.00.
a. Write an expression that represents the profit Althea made.
b. Evaluate the expression. Name the property used in each step.
Answer:
I have the same question
Step-by-step explanation:
message me if anyone helps I need it too
I need help!!
Simplify this complex fraction
Phyllis has $1,400 in her savings account. If the bank pays 2.25% interest per year
on savings, how much interest does she earn in one year?
Answer:
1400/100 x 2.25 = $31.50
How long does it take for an investment to quadruple in value if it is invested at 11% compounded
continuously? Type the exact answer as your answer (no decimal approximations).
Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:
100 * (1+1.07)x = 400
Then we will take 400 and divide it by 100 getting:
1.07X = 4
Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X
Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.
2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula
where:
P (principal) is equal to hypothetical $100
E (e) is a mathematical constant, which is approximately 2.718
R (rate) is the interest rate, in our case it is 5.5%
T (time) is the time required for money to grow
A (amount) is the final amount desired, which is 4 times larger of $100, thus $400
We have the following:
400 = 100 * e0.055t
400/100 = e0.055t
4 = e0.055t
Then we will apply natural log to both sides of the equations and get the following:
ln(4) = ln(e0.055t)
Since e is the base of ln(x) the equation simplifies to:
ln(4) = 0.055t
Using the calculator to find ln(4) we are getting:
1.38629 = 0.055t
Lastly find t
t = 1.38629/0.055
t = 25.20535202
Plug the answers back to the original equation to verify the answers.
1st part of the question answer: t = 20.4895
2nd part of the question answer: t = 25.20535202
Help please i’m terrible at maths !!
3 1/4 - 4 1/2 show your work
If I did the math correct, the answer is -1 1/4, i'll attach a ss in a second.
A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.
Complete question :
A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming
Which statement best describes the depth of the fish
From a starting position of 7 meters below sea level, the fish is descending 3 meters per second.
From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second.
From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.
From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second.
Answer:
From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.
Step-by-step explanation:
Given the equation :
y = - 7x - 3
y = depth of fish in meters ; x = Number of seconds fish has been swimming
From the equation ; which is written according to the slope - intercept equation, ; y = mx + c
The slope, m = - 7 is the rate of change in y per unit of x
c = intercept, constant, value of y when x = 0
Hence, the true statement in the equation is :
-7 represents descent and meams fish descents at a rate of 7 m per second
At x = 0, the fish is at a depth of 3 m