Answer:
Ryan swam further by 5/6
Step-by-step explanation:
34 2/3 = 104
52 5/8 = 104 5/6
104 5/6 - 104 = 5/6
At a high school basketball game 15% of the fans supported the visiting team.If the number of visiting supporters at the game was 75, what was the total number of fans at the game
Answer:500
Step-by-step explanation:
2. Determine the value of each variable for parallelogram INDY has diagonals that intersec at P.1P=3x DP = 6x - 2 NP = 3y and YP=7x-2,
Answer:
x = 2/3 and y = 8/9
Step-by-step explanation:
If a parallelogram INDY has diagonals that intersects at P, then O bisects ID and YN
Hence IP = PD and NP = YP
Given
IP=3x
DP = 6x - 2
NP = 3y and
YP=7x-2,
Substitute
3x = 6x-2
3x-6x = -2
-3x = -2
x = 2/3
x = 0.67
Also NP = YP
3y = 7x-2
3y = 7(2/3) - 2
3y = 14/3 - 2
3y = 14-6/3
3y = 8/3
9y = 8
y = 8/9
Hence x = 2/3 and y = 8/9
4/9 x 15/8 answer the question and give the simplest form.
On Tuesday, the price of oranges at a grocery store was $1.20 per pound. Today, the oranges at the same grocery store are on sale at a 15% discount. What is the total price of 5 and 1/2 pounds of oranges this week at the grocery store?
A. $6.00
B. $2.50
C. $5.61
D. $1.02
Answer:
$5.61
Step-by-step explanation:
So, first of all, 15% off of 1.20 is 1.02. Then, multiply that by 5 1/2 to get $5.61.
The 25 students in Mr. Martinez’s class vote on their favorite farm animal. 40% like pigs. How many students like pigs?
Answer:
10
Step-by-step explanation:
The magnitude and direction of two vectors are shown in the diagram. What is the magnitude of their sum?
Answer:
2√5
Step-by-step explanation:
Using the formula for calculating resultant
R = √Fx + Fy
\sum Fx = -2sin 45 + 4 cos 45
\sum Fx = 2cos45
\sum Fx = 2(1/√2)
\sum Fx = 2/√2
Similarly;
\sum Fy = 2 cos 45 + 4 sin45
\sum Fx = 2(1/√2) + 4(1/√2)
\sum Fx = 6/√2
Magnitude = √(2/√2)²+6/√2)²
Magnitude = √4/2 + 36/2
Magnitude = √2+18
Magnitude = √20
Magnitude = 2√5
Hence the magnitude of their sum is 2√5
Answer:
2√5
Step-by-step explanation:
What is the equation of a line that passes through the points 0,5 and 4,8 in slope intercept form
Answer:
y = 3/4 + b
Step-by-step explanation:
To get slope intercept form you need to have the y = then you need to find the slope which is y2 - y1 and x2 - x1, find the answer whether it be a fraction or a whole number. And since you don't know the y-intercept you mark the last integer as b, since you don't the answer. So it comes out to y = 3/4 + b
y = (3/4)x + 5
Using the two coordinates, you can find slope and y-intercept
y-intercept is 5, from the point (0,5)
slope is 3/4, from rise/run, and that 0 to 4 is 4, while 5 to 8 is 3.
Combine slope and y-intercept for slope intercept form
y = (3/4)x + 5
Please help me with this
Answer:
True
Step-by-step explanation:
Cuz if u substitute (3,-3/2) it would work
Y = 1/2x - 3
-3/2 = 1/2(3)-3
-3/2 = 1.5 - 3
-3/2 = -1.5
& -3/2 is -1.5 as a decimal lol
can someone please help its due soon.ill give brainliest!
Step-by-step explanation:
LINE K is linear equation
y = mx + b
m = delta y/ delta x
= 6/3
= 2
b = y-intercept (at x = 0, y = 0)
y = 2x
Item 25
Thompson Family Assets and Liabilities
Assets Value Liabilities Value
Checking and Savings $1,520 Auto Loan $5,238
Automobile $9,250 Credit Cards $580
House Value $112,340 Mortgage $78,570
Furniture,etc. $12,800 Other Loans $13,780
What are the Thompson family's total assets?
$13,345
$135,910
$140,291
$145,782
Answer:
135,910
Step-by-step explanation:
Add all assets together and you will get this answer.
3+3 lol this is just to give extra points you know hope you guys help me with the actual one
evaluate 2-(-4) +(-and) where Y = 7.
Answer:
2-4=4+7=11 so that is the answer begginer
13. Which expressions are equal?
a. 2(x + 3) + 2x and 4x + 3
b. 3(x + 2) + 4x and 7x + 6
C. 5x + 2(x + 4) and 6x + 8
d. 4 + 5(x + 2) and 5x + 11
Answer:
B
Step-by-step explanation:
3 x X = 3x 3 x 2 = 6 so 4x + 3x = 7x +6
FOR THE LOVE OF GOD PLEASE HELP ME I WILL GIVE 30 points
Answer:
Eliminate y by adding equations (1) and (3) because the coefficients on y are opposites. Then eliminate y by multiplying equation (1) by 2 and adding it to equation (2).
Eliminate z by subtracting equations (1) and (2) because the coefficients are the same. Then eliminate z by multiplying equation (3) by 2 and adding it to equation (1).
Step-by-step explanation:
The variables have to be the same in both equations in the 2 × 2 system.
All of this should be included
Which fractions are less than 1 2 ? Select all that apply. A. 1 3 B. 4 6 C. 2 5 D. 5 8 E. 7 12
Answer:
Explanation below
Step-by-step explanation:
1/2 =0.5
1/3 = 0.333
4/6 = 0.667
2/5 = 0.4
5/8 = 0.625
7/12 = 0.583
The fractions less than 1/2 are:
1/3 and 2/5. (A and C).
Que numero es mayor que -5/4
Answer:
4 is greater than -5
Step-by-step explanation:
positive are greater than negative
Find the value of x.
.
10
7
Answer:
X = 12.21
Step-by-step explanation:
Since this is a right triangle, use the formula A^2 + B^2 = C^2 and plug in appropriate values.
(10)^2 + (7)^2 = C^2
100 + 49 = C^2
149 = C^2
12.2065 = C
Rounded to two decimal places, this makes X equal to 12.21.
The required value of x is 12.21 for the given right triangle.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
Since this is a right triangle, use the formula A² + B² = C² and substitute appropriate values.
(10)² + (7)² = x²
100 + 49 = x²
149 = x²
x = √149
x = 12.2066
Rounded to two decimal places,
x = 12.21
Therefore, the required value of x is 12.21.
Learn more about Pythagoras's theorem here:
brainly.com/question/343682
#SPJ2
please help :(
how do you know you have a direct variation in the relationship between two quantities?
Joseph is paid $210 per week, plus $18 for each extended car warranty he sells. His supervisor raises his pay by $35 each week. Which function represents his new weekly pay, R(w), when he sells w extended warranties?
Find the value of x in the triangle. 1 and 4.
Answer:
263
Step-by-step explanation:
PRACTISE NOW 11
Ex
15
Mr Lee drove from City P to City Q, which are 600 km apart. During his return journey,
his average speed was increased by 7 km/h and the time taken was 15 minutes less.
() If he drove at an average speed of x km/h on his journey from City P to City Q,
formulate an equation in x and show that it reduces to x2 + 7x – 16 800 = 0.
(ii
) Solve the equation x² + 7x - 16 800 = 0, giving both your answers correct to
2 decimal places.
(iii) Find the time taken for the return journey.
Answer:
i. x² + 7x - 16800 = 0 ii. x = 126.16 km/h or -133.16 km/h iii. 5.01 h
Step-by-step explanation:
i. If he drove at an average speed of x km/h on his journey from City P to City Q formulate an equation in x and show that it reduces to x2 + 7x – 16 800 = 0.
For the first journey from City P to City Q, with Mr Lee moving at an average speed of x km/h, he reaches there in time, t and covers the distance, d = 600 km
So, xt = 600 (1)
On his return journey from City Q to CIty P, his average speed increases by 7 km/h, so it is (x + 7)km/h and his time is 15 minutes less than his first journey. 15 min = 15/60 h = 0.25 h, we have that his time for the journey is (t - 0.25) h. Since the distance covered is the same d = 600 km,
We have (x + 7)(t - 0.25) = 600 (2)
Expanding the brackets, we have
xt - 0.25x + 7t - 0.25(7) = 600
xt - 0.25x + 7t - 1.75 = 600
From (1) t = 600/x and xt = 600
Substituting these into the equation, we have
600 - 0.25x + 7(600/x) - 1.75 = 600
simplifying
-0.25x + 4200/x - 1.75 = 600 - 600
-0.25x + 4200/x - 1.75 = 0
multiplying through by x, we have
-0.25x² + 4200 - 1.75x = 0
dividing through by -0.25, we have
-0.25x²/-0.25 + 4200/-0.25 - 1.75x/-0.25 = 0
x² - 16800 + 7x = 0
re-arranging, we have
x² + 7x - 16800 = 0
ii. Solve the equation x² + 7x - 16 800 = 0, giving both your answers correct to 2 decimal places.
Using the quadratic formula, we solve x² + 7x - 16800 = 0 for x
So, [tex]x = \frac{-7 +/-\sqrt{7^{2} - 4 X 1 X -16800} }{2 X 1}\\x = \frac{-7 +/-\sqrt{49 + 67200} }{2} \\x = \frac{-7 +/-\sqrt{67249} }{2} \\x = \frac{-7 +/- 259.32}{2} \\x = \frac{-7 + 259.32}{2} or x = \frac{-7 - 259.32}{2} \\x = 252.32/2 or x= -266.32/2\\x = 126.16 km/hor x = -133.16 km/h[/tex]
So, x = 126.16 km/h or -133.16 km/h
iii. Find the time taken for the return journey
The time taken for the return journey is t' = t + 0.25. Now. t = 600/x
Since x cannot be negative, we use x = 126.16 km/h.
So, t = 600/x = 600/126.16 = 4.76 h
t' = t + 0.25
t' = 4.76 + 0.25
t' = 5.01 h
help me please-1 = (5 + x)/6
Answer:
x= -11 I hope this helps!
Step-by-step explanation:
Answer:
x=-11
Step-by-step explanation:
/=division
*=multiplication
-1=(5+x)/6
-1*6=(5+x)/6*6
-6-5=5+x-5
-11=x
Plz help me I need help asap
D) -3
because the number should be less than -2 and greater than -6
so here only -3 satisfies the condition
1. What is the distance between Point A(-2,3) and Point B (-2,8).
Answer:
5
Step-by-step explanation:
An equation is different from an expression because it has...
Answer:
Because it bears an equal sign
Expressions don't have a definite solution to the problem.
PLEASE HELP ME ITS DUE IN 20 MINUTES ( 30 POINTS )
A glass is
1
2
full. Then 65cm3 of orange juice is poured in.
The glass is now
6
7
full. What is the total volume of the glass?
Answer:
Answer is v=182
Step-by-step explanation:
v=volume of the glass
v/2+65=6v/7
Multiply by 14
7V+910=12V
910=5V
V=182
I hope it's helpful!
2.5= -2B+6 Pls help me
Answer:
B=1.75
Step-by-step explanation:
4. Jim and Kirk are playing a card game where they trade chips. At the beginning of the game, Jim has four times as many chips as Kirk does. After Kirk wins the game, Jim gives Kirk 18 of his chips, at which point they now have the same number of chips. How many did Kirk have to begin with?
(a) If j represents the original number of chips Jim had and k represents the original number of chips that Kirk had, then write an equation that models the amount of chips they originally had. Explain your equation.
(b) The equation j k − = + 18 18models the scenario after Kirk wins the game. Explain why.
(c) Determine how many chips both Kirk and Jim started with.
Answer:
(a) [tex]j = 4k[/tex]
(b) [tex]4k - 18 = 18 + k[/tex]
(c) Jim initially had 48; Kirk initially had 12
Step-by-step explanation:
Given
[tex]j = Jim[/tex]
[tex]k=Krik[/tex]
Solving (a): An equation for the amount they originally had.
From the question, we understand that j is 4 times as many as k.
Mathematically, this is:
[tex]j = 4 * k[/tex]
[tex]j = 4k[/tex]
Solving (b): Equation after Kirk wins
Initially Kirk had k.
To get the new expression, we add 18 to k.
This gives: 18 + k
In the same vein, Jim's number of chirps will reduce by 18.
Initially, Jim had j chirps (or 4k chirps)
To get the new expression, we subtract 18 from j.
This gives: j - 18
So, the equation is:
[tex]j - 18 = 18 +k[/tex]
Solving (c): Number of chirps they started with.
In (b), we have:
[tex]j - 18 = 18 +k[/tex]
Substitute 4k for j
[tex]4k - 18 = 18 + k[/tex]
Collect Like Terms
[tex]4k - k = 18 + 18[/tex]
[tex]3k = 36[/tex]
Divide both sides by 3
[tex]k =12[/tex]
Substitute 12 for k in [tex]j = 4k[/tex]
[tex]j = 4 * 12[/tex]
[tex]j = 48[/tex]
write the equation 6x-3y=9 in slope-intercept form. Then graph the line described by the equation .
Answer:
check book
Step-by-step explanation:
ok apply formula only
what is the minimum value of the parabola y = x^2 + 10 ?