Answer:
x and y intercept
x —> (–6,0)
y —> (0, 3)
5x - 2y = 15
2x + 4y = 12
Select the solution to the system from the options below:
Answer:
7/2, 5/4
Step-by-step explanation:
Answer:
x = 7/2 and y = 5/4
Step-by-step explanation:
2(5x - 2y = 15)
2x + 4y = 12
10x - 4y = 30
2x + 4y = 12 (add)
-----------------
12x = 42
x = [tex]\frac{42}{12}[/tex] = [tex]\frac{7}{2}[/tex]
2x + 4y = 12 (subsitute)
2([tex]\frac{7}{2}[/tex]) + 4y = 12
7 + 4y = 12
4y = 5
y = [tex]\frac{5}{4}[/tex]
A customer goes to a bank and gets change for a $100 bill. The change is to be in $1, $5, and $10 bills. There were four times as many $5 bills as $10 bills. If there are 25 bills in all, how many are $5 bills?
Answer:
12
Step-by-step explanation:
x = number of $1 bills
y = number of $5 bills
z = number of $10 bills
We know that:
x + y + z = 25 (total amount of bills)
x + 5y + 10z = 100 (total amount of money)
y = 4z (Given)
Substitute the third equation into the first one.
x + 4z + z = 25
x = 25 - 5z
Put this into the second equation.
(25 - 5z) + 5 (4z) + 10z = 100
Simplify and solve.
25 - 5z + 20z + 10z = 100
25z + 25 = 100
25z = 75
z = 3
Substitute this into y = 4z
y = 4 * 3
y = 12
So, there are 12 $5 bills.
Answer:
12 $5 bills
Step-by-step explanation:
Represent the number of each kind of bill by x, y and z: there are x $1 bills, y $5 bills and z $10 bills.
According to the problem statement,
x + y + z = 25 and y = 4z (or z = y/4). Also, the values of the bills add up to $100:
($1)x + ($5)y + ($10)z = $100. Eliminate z by typing y/4 in its place:
x + y + (y/4) = 25 and
x + 5y + 10(y/4) = 100
Doing this has reduced the number of variables to two: x and y. Combining like terms in both equations, we get:
1x + (5/4)y = 25 and
1x + (30/4)y =100
Subtracting the 1st equation from the 2nd, we get:
(25/4)y = 75, or
(4/25)(25/4)y = (4/25)(75) , or y = 12.
If y = 12, z = 12/4, or 3.
Then x + 12 + 3 = 25 coins in all; therefore, x = 15 = 25, and x = 10
There are 10-$1 bills, 12-$5 bills and 3-$10 bills.
What is the location of the point on the number line that is 3/5 of the way from
A = 2 to B = 17?
O A. 12
O B. 10
C. 9
O D. 11
The location of the point on the number line that is 3/5 of the way from A = 2 to B = 17 is 11
How to determine the location of the point?The points are given as:
A = 2
B = 17
Point = 3/5
The location of the point is then calculated as:
Point = A + 3/5(B - A)
So, we have:
Point = 2 + 3/5(17 - 2)
Evaluate the product
Point = 2 + 9
Evaluate the sum
Point = 11
Hence, the location of the point on the number line that is 3/5 of the way from A = 2 to B = 17 is 11
Read more about number lines at:
https://brainly.com/question/4727909
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P varies inversely with the square of Q. When Q is 8, P 9. Find the value of P when Q is 3.
Answer:
P
[tex] \alpha [/tex]
1/q²
P=k/Q²
K=P×Q²
Where P=9
Q=8
K=?
K=9×8²
K=9×64
K=573
So where K= 573
Q=3
P=?
P=K/Q²
P=573/3²
P=573/9
P=63.67
Which choice is equivalent to the expression below?
(-4)-5
slope of a line that goes through points (-8,0) and (0,6)
Answer:
3/4
Step-by-step explanation:
slope = rise / run
slope = ∆y/∆x
slope = (y2 - y1) / (x2 - x1)
slope = (6 - 0) / ( 0 - -8)
slope = 6/8
slope = 3/4
Select all number combinations that COULD make a triangle
4 cm, 5 cm, 7 cm
5 cm, 6 cm, 11 cm
2 cm, 9 cm, 10 cm
3cm, 4 cm, 10 cm
Answer:
2 cm, 9 cm, 10 cm
Step-by-step explanation:
To know if a combination is a triangle all you have to do is see if the combinations add up to 180
(2)(9)(10)=180 therefore it is a triangle.
All the other angles do not add up to 180 so they can't be triangles!!
(4)(10)(3) =120
(5)(6)(11) =330
(4)(5)(7) =140
URGENT PLZ HELP
use the graph to write an equation of the line
Jada makes sparkling juice by mixing 2 cups of sparkling water with every 4 cups of apple juice . How much apple juice does Jada need if she uses 6 cups of sparkling water?
Answer:
3 cups of sparkling water
Step-by-step explanation:
So the ratio is 2:4=?:6
Setting them equal to each other, you'll divide 6 by 4
You get 1.5, then multiply 2 by 1.5 to get 3
A shoe store uses a 60% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of 51
$?
Answer:
33.33 percent
Step-by-step explanation:
$88
Step-by-step explanation:
55 increase 60%=
55x(1+60%)=55x(1+0.6)=88
For every 1000 videos it makes £2 from ad revenue.
How many videos are required to make £25
Step-by-step explanation:
If you divide 1,000 by 2 since there are £2, you get 500. Multiply 500 by 25 and you got it!
(the answer would be 12,500)
The point-slope equation of a line is
A. y + x - Xoyo = m
B. y= m(x - Yo)
O C. y+ mx - mxoyo
D. y-yo = m(x- xo)
Answer:
[tex]y - y_1 = m(x - x_1)[/tex]
Step-by-step explanation:
Given
A to D
Required
Which is the point slope equation
The point slope form of a coordinate pair is:
[tex]y - y_1 = m(x - x_1)[/tex]
Hence, (d) is correct
A triangle has base 4 cm
and height 9 cm, What is its
area
Answer:
18 cm^2
Step-by-step explanation:
Formula for area of triangle: bh/2
4x9=36
36/2=18
Compound Interest: You deposit $100 in an account that earns 3% annual interest compounded continuously. How long does it take the balance to reach the following amounts? (A = Pe^(rt). NO LINKS
a. $110
b. $150
c. $200
9514 1404 393
Answer:
a) 3.18 years
b) 13.52 years
c) 23.10 years
Step-by-step explanation:
Solving for t, we find ...
A = Pe^(rt)
A/P = e^(rt)
ln(A/P) = rt
t = ln(A/P)/r
For P=100 and r=.03, the times are ...
a. $110: t = ln(110/100)/.03 ≈ 3.18 years
b. $150: t = ln(150/100)/.03 ≈ 13.52 years
c. $200: t = ln(200/100)/.03 ≈ 23.10 years
Enter in the missing numbers to create equivalent ratios. HELPPPPPPPPPPPPPPPPPPPP
Please helpppp i will mark brainlisttt
What is the product of 3/4 multiplied by x = 1/2?
Please dont do a file or link, just the straight up answer, thanks.
1. Nasir borrowed $420 for six months with $77 monthly payments.
How much interest will he pay on this loan?
$77
$57
$52
$42
2. Casey borrowed $814 for nine months, with payments of $105.50 monthly.
What will he pay in interest?
$103.16
$105.80
$122.40
$135.50
Answer: 52 and 793.25
Step-by-step explanation:
Answer:
1: 52
2: 105.80
Step-by-step explanation:
Ten years ago, Scott bought a board game for $30. That board game has now increased it's value by 83%.
100
What would be the price of that game now?
Answer:54.9
Step-by-step explanation:
What is the equation of the graph below? y=1/2sinx y=1/2cosx y=1/2sin2x
9514 1404 393
Answer:
(d) y = 1/2sin(2x)
Step-by-step explanation:
The sin(x) function will have a maximum value of 1 and a period of 360°. The function plotted is a sine function with a maximum value of 1/2 and a period of 180°.
For a function g(x) = a·f(b·x), the vertical scale factor is 'a', and the horizontal compression factor is 'b'. Our sine function has a vertical scale factor of 1/2, and a horizontal compression of 360/180 = 2, so the transformed function is ...
y = 1/2sin(2x)
The function H(t) = −16t2 + 90t + 50 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in the air along a path represented by g(t) = 28 + 48.8t, where g(t) is the height, in feet, of the object from the ground at time t seconds.
Part A: Create a table using integers 1 through 4 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know?
Part B: Explain what the solution from Part A means in the context of the problem.
Translations, rotations, and reflections are rigid transformations. What can you conclude about the measures of sides and angles on any triangle after undergoing a series of rigid transformations? Explain.
Answer:
After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.
After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.
After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and the proportion of the sides and angles are not changed.
Step-by-step explanation:
Rigid transformations, i.e. translations, rotations, and reflections, preserve the side lengths and angles of any figure. Therefore, after undergoing a series of rigid transformations, the side lengths and angle measures of any triangle will be the same as the original triangle, generally speaking, in another position.
Answer:
They are all congruent or equal. The angles and side lengths are preserved through the rigid transformations.
Step-by-step explanation:
That’s what i put
Jane went shopping for a new bike the bike store had an electric bike originally priced at $1500 but the only said that she could have a reduction in price of the bike by 20% what is the reduced price after Jane will pay?
A class survey provides the data shown.
1, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 11
Which box plot represents the class?
∠DGC and ∠CGB are □ angles.Adjacent
Adjacent
Complementary
Supplementary
Vertical
Answer:
They are adjacent angles
(HElP) which answers describe the shape below?
I think it would be A, B, D and E.
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
Answer:
Y=2x+4
Step-by-step explanation:
Y=Mx+b is the slope intercept formula
subtract 2x so you get -y=-2x-4. Then divide everything by-1 .
A rectangular prism has a volume of 192 cubic inches the prism is 4 inches wide.....
Answer:
6 inches
Step-by-step explanation:
the formula for the volume of a rectangular prism is width*length*height.
Here we are asked to find the height when given a volume. The resultant equation is:
volume = w * l * h
192 cu.in. = 4in*8in*h(inches), simplify the equation by dividing each side by 32 (which is 4*8) to yield:
192 cu.in./32 sq.in.= h inches
6 inches = height
If the band sells 100 series A ticket and 13000 series B tickets they will earn $865000. Write an equation to represent this situation.
Answer:
100x + 13000y = 865000
Step-by-step explanation:
x = Series A price
y = Series B price
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer: 4.12 km
Step-by-step explanation:
Use the Pythagorean theorem. Name the hypotenuse (longest side) c and the bottom side b. Then, simplify and solve for a.
a^2 + b^2 = c^2
a^2 + 8^2 = 9^2
a^2 + 64 = 81
a^2 = 17
a = square root of 17 or approx. 4.12
Please give brainliest!