Answer:
36 correct answers
Step-by-step explanation:
Given that,
The ratio of the number of problems Josie got incorrect to the number of problems she got correct is 2:9.
Josie missed 8 questions
Let incorrect answers be 2x and that of correct answers be 9x.
ATQ,
2x = 8
x = 4
Correct answers = 9x
= 9(4)
= 36
Hence, she will get 36 correct answers.
A air traffic control system is tracking two fighter jets, both of which are flying at the same altitude and their directed distance is measured in kilometers. If they have coordinates of (4, 150°) and (2, 195°), find the distance between the two jets.
Answer:
The distance between the two jets is approximately 2.947 kilometers.
Step-by-step explanation:
From the statement we know the location of each jet in polar coordinates, which are defined by the following notation:
[tex]\vec r = (r, \theta)[/tex] (1)
Where:
[tex]r[/tex] - Distance of the jet from the origin, measured in kilometers.
[tex]\theta[/tex] - Angle of the jet with respect to the east direction, measured in sexagesimal degrees.
To transform polar coordinates into rectangular coordinates, we use the following expressions:
[tex]x = r\cdot \cos \theta[/tex] (2)
[tex]y = r\cdot \sin \theta[/tex] (3)
And lastly, we determine the distance between the two jets ([tex]d[/tex]), measured in kilometers, by the Pythagorean Theorem:
[tex]d = \sqrt{(r_{2}\cdot \cos \theta_{2}-r_{1}\cdot \cos \theta_{1})^{2}+(r_{2}\cdot \sin \theta_{2}-r_{1}\cdot \sin \theta_{1})^{2}}[/tex] (4)
If we know that [tex]r_{2} = 4\,km[/tex], [tex]\theta_{2} = 150^{\circ}[/tex], [tex]r_{1} = 2\,km[/tex] and [tex]\theta_{1} = 195^{\circ}[/tex], the distance between the two jets is:
[tex]d = \sqrt{[(4\,km)\cdot \cos 150^{\circ} -(2\,km)\cdot \cos 195^{\circ}]^{2}+[(4\,km)\cdot \sin 150^{\circ} -(2\,km)\cdot \sin 195^{\circ}]^{2}}[/tex]
[tex]d \approx 2.947\,km[/tex]
The distance between the two jets is approximately 2.947 kilometers.
please help! struggling a lot.
Answer:
x=2<br/>y=1
Step-by-step explanation:
\left\{ \begin{array} { l } { 4 x + y = 9 } \\ { 3 x - 2 y = 4 } \end{array} \right.
4x+y=9,3x-2y=4
4x+y=9
4x=-y+9
x=\frac{1}{4}\left(-y+9\right)
x=-\frac{1}{4}y+\frac{9}{4}
3\left(-\frac{1}{4}y+\frac{9}{4}\right)-2y=4
-\frac{3}{4}y+\frac{27}{4}-2y=4
-\frac{11}{4}y+\frac{27}{4}=4
-\frac{11}{4}y=-\frac{11}{4}
y=1
x=\frac{-1+9}{4}
x=2
x=2,y=1
Plz help!! (I just copied and pasted it)
The video store rents DVDs for $3.00 each and video games for $4.50 each. Write an equation in standard form for the number of DVDs d and video games g that a customer could rent with $18. Graph the equation and give me three combinations of DVD’S and video games.
Step-by-step explanation:
3d + 4.5g <= 18.
3 possible combinations are:
0 DVD and 4 Video games,
1 DVD and 3 Video games,
2 DVDs and 2 Video games.
Answer:
3 possible combinations are:
0 DVD and 4 Video games
1 DVD and 3 Video games
2 DVDs and 2 Video games
Step-by-step explanation:
what is the numbers in PI {pi} im confused is it 3.4578949 or is it 3.5478749?
Answer:
just use the pie sign in your calculator
pi = 3.1415926535898
This is something you either memorize, have on a flashcard, or just let your calculator handle the details. The digits of pi are effectively random and do not repeat with a known pattern.
In an exponential function, $(x)= a(b)", it is known that (5) = 15 and S(8) = 170. Which of the
following is closest to the value of b?
(1) 1.87
(3) 3.19
(2) 2.25
(4) 3.72
Answer:
b = 2.25
Step-by-step explanation:
Here, we want to get the value of b
from the question;
s(x) = ab^n
Firstly;
15 = a•b^5
Secondly
170 = a•b^8
Divide second by first
170/15 = ab^8/ab^5
11.33 = b^3
b is the cube root of 11.33
b = 2.25
In a certain Algebra 2 class of 27 students, 18 of them play basketball and 16
of them play baseball. There are 3 students who play neither sport. What is
the probability that a student chosen randomly from the class plays
basketball or baseball?
Answer:
The probability is 0.89 or 89%
Step-by-step explanation:
Probability
There are n=27 students in a certain Algebra 2 class. 18 out of them play basketball and 16 of them play baseball.
We also know 3 students play neither sport. This leaves 27-3=24 students playing sports.
The probability that a randomly chosen student plays basketball or baseball is:
[tex]\displastyle p=\frac{24}{27}[/tex]
Simplifying:
[tex]\displastyle p=\frac{8}{9}=0.89[/tex]
The probability is 0.89 or 89%
A restaurant customer left $1.30 as a tip. The tax was 7% and the tip was 10% of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill?
Answer:
Step-by-step explanation:
Given that:
Tip left = $1.30
Tax = 7%
Tip = 10% of after tax cost
The tax percentage is not needed in calculating the bill after tax and tip
Hence,
Let after tax cost = x
10% of x = 1.30
0.1x = 1.30
x = $13
After tax cost = $13
Hence, the Total bill after tax = $13
The weight of oranges growing in an orchard is normally distributed with a mean weight of 6.5 oz. and a standard deviation of 1.5 oz. Using the empirical rule, determine what interval would represent weights of the middle 99.7% of all oranges from this orchard.
Answer:
(3.5, 9.5)
Step-by-step explanation:
μ=6.5
σ=1
does anyone know how to find the values of Y in a function table?
Answer:
1 - 5
2 - 7
Step-by-step explanation:
Plug the x values into the equation.
I can't see to do all of them, so I'll just do the first two.
1. y=2(1)+3
= 2 + 3 = 5
2. 2(2) + 3
= 4 + 3= 7
Greg wants to buy a new baseball bat. Store A has the bat originally priced at $245 and is having a 25% off sale. Store B's bat has an original price of $166 but is marked up 20%. Which store has the better price for the baseball bat?
Answer: Store A with price at $183.75 has the better price for the baseball bat
Step-by-step explanation:
Step 1
New price of baseball bat at store A= Original price - 25% off sale
$245- (25/ 100 x 245)
$245-$61.25
$183.75
New price of baseball bat at store B= Original price +20% mark up
=$166 + (20 /100 x 166)
=$166 + 33.2
$199.2
Step 2
Having that the price of bat at store A is =$183.75 and the price of bat at store B is =$199.2, The better price for the baseball bat is sold at Store A which is a cheaper option
Answer:
It is cheaper to buy the bat in Store A.
Step-by-step explanation:
Giving the following information:
Store A:
Selling price= $245
Discount= 25%
Store B:
Selling price= $166
Mark-up= 20%
We need to determine which store is cheaper to buy the bat:
Store A:
Discounted selling price= 245*0.75= $183.75
Store B:
Mark-up selling price= 166*1.2= $199.2
It is cheaper to buy the bat in Store A.
Write two equivalent expressions to 9x + 27.
Answer:
3x+6x+27
9x+20+7
Step-by-step explanation:
just expand out the equation
Answer:
3(3x+9)
9(x+3)
Step-by-step explanation:
3(3x+9)= 9x+27
9(x+3)= 9x+27
i want to know how to solve this cross number puzzle i know the answers but where do i put them
across
1) 10
2) 25
5)9
6)12
write the following number in standard form decimal
Answer:
0.0001825
Step-by-step explanation:
First you find out what 10 to the -4th power is after that you multiply the decimal shown (1.825) you start moving the number behind the decimal and you have your answer 0.0001825
Answer:
0.0001825
Step-by-step explanation:
Simplify the expression 21b4 − 3b by combining like terms.
1. 18b5
2. 18b4
3. 21b4 − 3b
4. 18b3
Del contenido total de una lata de verduras de 220g,la masa drenada es de 110g. ¡Que fraccion representa la masa drenada del contenido total? ¿Que fraccion decimal corresponde a un 1/4? ¿Que tanto por ciento se representa con 1/4 o .25? ¿Que tanto por ciento del contenido total representa la masa drenada?
Explicación paso a paso:
Pregunta 1
El contenido total de verduras = 220 g
La masa drenada es de 110 g.
¿Qué fracción representa la masa drenada del contenido total?
= 110/220
= 22/11
La fracción es 11/22
Pregunta 2
¿Qué fracción decimal corresponde a 1/4?
la fracción decimal que corresponde a 1/4 es 0,25
Pregunta 3
¿Cuánto porcentaje está representado por 1/4 o 0,25?
= 0,25 * 100
= 25%
Pregunta 4
¿Cuánto porcentaje del contenido total representa la masa drenada?
= 110/220 * 100
= 11/22 * 100
= 0,5 * 100
= 50%
i need help with #11 and #12
9514 1404 393
Answer:
11. y = -1/4x² +1
12. y = 1/6(x -3)² +5/2
Step-by-step explanation:
Since 9-12 are all the same, we can solve the problem generically and plug in the given numbers. Let the focus be (a, b) and the directrix be y=d.
The vertex is halfway between the focus and directrix, so its coordinates will be (a, (b+d)/2). The distance from focus to directrix is b-d. Given these conditions, the equation of the parabola is ...
y = 1/(2(b-d))(x -a)² +(b+d)/2
__
11. For (a, b) = (0, 0) and d = 2, the equation is ...
y = 1/(2(0-2))(x -0)² +(0+2)/2
y = -1/4x² +1
__
12. For (a, b) = (3, 4) and d = 1, the equation is ...
y = 1/(2(4-1))(x -3)² +(4+1)/2
y = 1/6(x -3)² +5/2
__
The attachments show the graphs of these. You can verify the graph by noticing ...
a) the vertex is halfway between the focus and directrix
b) a horizontal line from the focus to the curve is the same length as a vertical line from the directrix to the same point on the curve
During a sale, a dress is marked down from a selling price of $68 to a sale price of $44.20. What is the percent markdown?
Answer:
35%
Step-by-step explanation:
Juan wants to earn more than $52 trimming trees. He charges $8 per hour and pays $4 in equipment fees. What are the possible numbers of hours Juan could trim trees? Use t for the number of hours. Write your answer as an inequality solved for t .
Answer:
He has to work for more than 8 hours.
Step-by-step explanation:
8t + 4 > 52
8t + 4 - 4 > 52 - 4
8t > 48
8t/8 > 48/8
t > 8
factorize 4x^2 - 169y^2
Step-by-step explanation:
4x² - 169y² can be factorised as (2x + 13y)(2x - 13y).
What is the slope of this line?
Enter your answer as a whole or a fraction in simplest form.
Answer:
Step-by-step explanation:
(-2,0) (0, -2) = (-2 - 0)/(0 + 2) = -2/2= -1
y - 0 = -1(x + 2)
y = -x - 2
slope is -1
one factor of x^3-x^2-x+1 is x-1 the other factor is
Pleaseee help meee....
Answer:
its 90 bc the angle has a square (tbh I'm just guessing
The solution set of |4x - 7| = 9 is
{4}
{-1/2, 4}
{}
Answer:
{4}
Step-by-step explanation:
first move 7 to RHS in addition
then 4 in RHS in division
Answer:
{-1/2,4}
Step-by-step explanation:
The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 1350 cubic centimeters when the pressure is 250 millimeters of mercury (mm Hg), find the volume when the pressure is 450mm Hg.
Factor an 8 from the expression: 32 + 40b
50x3 – 20x + 8x ─ 21x3 – 3x + 15x ─29 x3
Answer:
0
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
50x³ -20x + 8x - 21x³ - 3x + 15x - 29x³
Step 2: Simplify
Combine like terms (x³): -20x + 8x - 3x + 15xCombine like terms (x): 0Answer:
[tex]\boxed {\boxed {\sf 0}}[/tex]
Step-by-step explanation:
We are given the expression:
[tex]50x^3-20x+8x-21x^3-3x+15x-29x^3[/tex]
We want to simplify it, so we must combine the like terms. For this equation, the like terms are terms with x³ or x.
First, combine all the x³ terms.
[tex](50x^3-21x^3-29x^3)-20x+8x-3x+15x[/tex]
[tex](0x^3)-20x+8x-3x+15x[/tex]
[tex]-20x+8x-3x+15x[/tex]
Next, combine all the remaining terms, because they are all terms with an x.
[tex]-12x-3x+15x[/tex]
[tex]-15x+15x=0[/tex]
The expression is equal to 0
1.) Jahmal had a $10,000 loan. He still owes $5,275. He had to pay 15% interest up front on to get
the loan. How much total money has Jahmal already paid on the loan?
A.) $4,725
B.) $6,225
C.) $5,550
D.) $709
I need help and please explain what you did. Thank you!
Answer:
C or A
Step-by-step explanation:
Here are 6 number cards -4, -2, -1, 5,6,8 arrange the cards into 3 pairs with the same total
Answer: See explanation
Step-by-step explanation:
We are informed that we should arrange -4, -2, -1, 5,6,8 arrange into 3 pairs with the same total. This will be:
= (-4,8), (-2,6), and (-1,5).
Let's check the total for each. This will be:
= (-4,8) = -4+8 = 4
(-2,6) = -2 + 6 = 4
(-1,5) = -1 + 5 = 4
Use a system of equations to solve the following problem:
I NEED THIS ANSWER ASAP PLEASE
Answer:
0,7
Step-by-step explanation:
by graphing
HELP PLEASE MATH WILL GIVE BRAINLIST
Answer:
y=1/3x
Step-by-step explanation:
the third one