Ashley and Kris are saving money for a vacation. Ashley currently has
$2,500 and is working hard to save $50 per month. Kris only has $1,000 in
savings but is saving $200 per month. In how many months will they have
the same amount in savings?
Answer:
Step-by-step explanation:
1) y = 50x + 2500
2) y = 200x + 1000
if we build a system with the two equations, we have:
50x+2500 = 200x + 1000
150x = 1500
x = 10
y = 2000 + 1000 = 3000
3) 10
4) $3000
What should you do first in solving the quadratic equation?
x² + 18x + 81 = 25
Answer:
x= -4,-14
Step-by-step explanation:
Try first to solve the equation by factoring. Be sure that your equation is in standard form before you start your factoring attempt.
How many different 5-digit numbers can you write using each of the digits 0, 1, 2, 3, 4 exactly once?
Answer:
96
Step-by-step explanation:
To get 5 digit numbers using the digits 0,1,2,3,4 exactly once = 4*4*3*2*1 = 96.
Step 1:
1st digit can be 1, 2,3,4 ( it can't be 0) so there are 4 choices.
Step 2:
2nd digit = 4 choices.
Step 3:
3rd digit = 3 choices
Step 4:
4th digit = 2 choices
Step 5:
5th digit = 1 choice .
So the number of different 5 digit number is 4*4*3*2*1 = 96
Solve the following quadratic by
completing the square.
y = x2 + 10x + 10
write the equation -1/2x - 2y = -4 in slope intercept form
Answer:
y= -1/4x+2
Step-by-step explanation:
y=mx+b is the slope intercept form.
We first must isolate y by adding 1/2x on both sides.
-2y=-4+1/2x
next we multiple by -1/2 to get rid of the -2
y=2-1/4x
y=-1/4x+2
Tyrone earns $8.50 an hour. How much money will he earn if he works for 5.40 hours?
Answer:
$45.90
Step-by-step explanation:
Multiply without the decimal points, then put the decimal point in the answer: 85 x 54 = 4590
8.5 has 1 decimal place
5.4 has 1 decimal place
Therefore, the answer has 2 decimal places
= 45.90
Refine: 45.9
The answer is 45.9
Trigonometric ratios, Side length. 15 points AND brainliest.
Answer:
Side GI= 2
Step-by-step explanation:
Photo attached, used SOH CAH TOA method.
*not drawn to scale
From her house, Jill rode her bike 5 km east, then 6 km south, and then 3 km east.
Measured using a single straight line, how far is Jill from her house?
A. 5 km
B. 8 km
C. 10 km
D. 14 km
Answer:
14
Step-by-step explanation:
The difference between two positive numbers is 7 and the difference between thes
cubes is 805. If 'A' represents their product and 'B' represents the sum of their squares,
find the value of 'A-B'.
The difference between two positive numbers is 7 and the difference between these cubes is 805. If 'A' represents their product and 'B' represents the sum of their squares,
To Find :-A - BSolution :-So,
Let the number be n and m
A = n × m = nm
B = n² + m² = (n + m)²
Now
n³ - m³ = 805
(n - m) (n² + m² + nm) = 805
Since difference is 7
7 × n² + m² + nm = 805
n² + m² + nm = 805/7
n² + m² + nm = 115
(n² + n) + (m² + m) = 115
A + B = 115
Now
On squaring the first eq.
(n - m)² = (7)²
(n - m)² = 49
B - 2A = 49
Now
A + B - B + 2A = 115 - 49
A + 2A = 66
3A = 66
A = 66/3
A = 22
By using 2
B - 2(22) = 49
B - 44 = 49
B = 49 + 44
B = 93
A - B = 22 - 93 = -71
[tex]\bold{ A-B=-71 }[/tex]
The time it takes to travel a fixed distance varies inversely with the speed
traveled. If it takes Pam 40 minutes to bike to her fishing spot at 9 miles per
hour, how long will it take her if she rides at 12 miles per hour?
O
30 mins
0 53 mins
22.5 mins
O 2.7 hours
Answer:
53 mins
Step-by-step explanation:
.) From the time a small airplane is 240 feet high and 5,200 ground feet from its landing runway, the plane descends in a straight line to the runway. Determine the planes angle of descent. Draw a diagram that describes the scenario.
Answer:
87.357
Step-by-step explanation:
use TOA to solve for the missing angle
let x= angle
tan(x)=5200/240
x=87.357
hi please help me look below
Answer:
9.64797292×10^28
Step-by-step explanation:
After completing the square, what are the solutions to the quadratic equation
below?
x2 - 7x+9 = 4
O A. X=-7 29
B. X=-
7
O C. x-}+x20
O D. x = 729
Answer:
[tex]\bold{x_1=\dfrac{7+\sqrt{29}}2\ ,\qquad x_2=\dfrac{7-\sqrt{29}}2}[/tex]Step-by-step explanation:
[tex]x^2 - 7x+9 = 4\\\\\underline{x^2 - 2\cdot x\cdot\frac72+\big(\frac72\big)^2}-\big(\frac72\big)^2+9 = 4\\\\\big(x-\frac72\big)^2-\frac{49}4+9 = 4\\\\ \big(x-\frac72\big)^2=\frac{49}4-\frac{36}4+\frac{16} 4\\\\ \big(x-\frac72\big)^2=\frac{29}4\\\\ x-\frac72=\pm\sqrt{\frac{29}4}\\\\ x=\frac72\pm\frac{\sqrt{29}}2[/tex]
Solve for x and y
6(ax + by) = 3a + 2b ; 6(bx-ay) = 3b - 2a
6×ax+6×by =6ax+6by =3a+2b,6×bx-6×ay=3b-2a=6bx-3a+2b
The additive identity of rational numbers is: *
I. 0
II. 1
III. 2
IV. -1
Answer:
i) 0 is the additive identity of rational number
[tex]\frac{3}{4}x-1\frac{5}{8}-2\frac{3}{4}[/tex]
Help I NEED HELP
PLS THIS NEED TO BE CHECKED TOMORROW I HOPE THERES SOMEONE WILL HELP (MATH)
Answer:
1) [tex]-2/3(x+5)+4(x+5)-10/3(x+5)[/tex]
[tex]=4(x+5)-10/3(x+5)-2/3(x+5)[/tex]
[tex]=4(x+5)-(x+5)[10/3+2/3][/tex]
[tex]=4(x+5)-(x+5)(10+2/3)[/tex]
[tex]=4(x+5)(12/3)(x+5)[/tex]
[tex]=4(x+5)-4(x+5)[/tex]
[tex]=0[/tex]
[tex]So, Jada~ is ~correct, because ~ by ~adding~negative ~term~we ~get~the~same~value\\of~negative~term~ so, both ~are ~ equaled~ out ~ and ~ get~ 0[/tex]
-------------------------
hope it helps...
have a great day!!
Plsss help I will mark brainlist plsss help fast
Answer:
C.
Step-by-step explanation:
The sqrt of -16 is the same as the sqrt of 16 * the sqrt of -1. The sqrt of 16 is 4, and the sqrt of -1 is i. Multiply the two to get 4i.
ANSWER NOW PLEASE AND PLEASE GIVE ME THE RIGHT ANSWER 35 points
Find the difference. Express the answer in scientific notation.
Va
(8.64 x 1020)- (7 83x 1020)
O 8.1x 10
O 0.81 x 1020
O 8.1 x 1021
O 0.81x1040
Both values have the same exponent ( they are both 10^20) so first subtract the numbers:
8.64 - 7.83 = 0.81
You would now have 0.81 x 10 ^20
But to be in scientific notation you need a number to the left of the decimal.
0.81 would become 8.1 and because you move the decimal 1 place to the left, you would subtract 1 from the original exponent so 10 ^20 would become 10 ^19
The answer is 8.1 x 10 ^ 19
Answer:
B = 0.81 x 10^ 20
Step-by-step explanation:
=(8.64 x 10^ 20)- (7 83x 10^20)
=8.1 x 10^19
which is also written as
= 0.81x 10^20
classify the triangle with the given side lengths as acute, right, obtuse, or not a triangle:
9,15,19 NOT A RIGHT TRIANGLE THANKS FOR THE HELP! NO SPAMS OR LINKS PLEASE
Answer:
It is not a right triangles because 15^2 + 13^2 is NOT EQUAL to 19^2
let x, y, and z be the angles inside the triangle.
Law of cosines says:
19^2 = 13^2 + 15^2 - 2(13)(15)cos x
361 = 169 + 225 - 390 cos x
-33 = -390 cos x
-33/-390 = cos x
11/130 = cos x
x = inverse cosine (11/130)
= 85.14609471338569.....
Per law of sines:
sin x/19 = sin y / 13
(13/19)sinx = sin y
inverse_sine ( (13/19) sin x) = y
y = 42.9810733896016548....
Per law of sines
sin x/19 = sin z / 15
z = inverse_sine( (15/19) sin x)
= 51.8728352950227805....
So it is an acute triangle and yes, these angles add up to 180
Answer:
acute
Step-by-step explanation:
The perimeter of a triangle is not greater than 12 and the lengths of sides are natural numbers.
How many such kinds of triangles is it possible? Find the probability of randomly chosen triangle is isosceles but not equilateral.
Answer:
3 triangles
Step-by-step explanation:
Perimeter of triangle = a + b + c
Given that :
P = 12
and a, b, c are natural numbers
Let :
Side A = a
Side B = b
Side C = 12 - (a + b)
Side A + side B > side C - - - (condition 1)
a + b > 12 - (a + b)
a + b > 12 - a - b
a + a + b + b > 12
2a + 2b > 12
2(a + b) > 12
a + b > 6
Side A - side B < side C
a - b < 12 - (a + b)
a - b + a + b < 12
2a < 12
a < 6
b < 6 (arbitrary point)
Going by the Constraint above :
The only three possibilities are :
(2, 5, 5)
(3, 4, 5)
(4, 4, 4)
Total number of triangle = 3
Equilateral triangle (all 3 sides equal) = (4, 4, 4) = 1
Isosceles triangle (only 2 sides equal) = (2, 5, 5) = 1
i need help asap pleaseee:)
Answer:
i cant read
Step-by-step explanation:
blurry
Please help
11.5 gal
= qt
Answer:
46
Step-by-step explanation:
1 gallon is 4 quarts so you would do 11x4=44 and .05x4=2
44+2=46
Is 3/4greater or less than 1/2....is it 1/2?
Answer: yes 3/4 is greater
converting both fractions to decimals. The decimal 0.75 is bigger than 0.5, so 3/4 is bigger than 1/2.
Answer:
3/4 is greater than 1/2.
Step-by-step explanation:
One way to compare fractions is by making them have the same denominator.
You can do this by finding the least common denominator (LCM).
First, list the multiples of each denominator.
4: 4, 8, 12, 16, 20
2: 2, 4, 6, 8, 10
As you can see, 4 is the LCM.
Now, change the fractions to where they denominators of 4.
**WHICHEVER NUMBER YOU MULTIPLY THE DENOMINATOR BY, YOU MUST ALSO MULTIPLY IT BY THE NUMERATOR.**
[tex]3/4*1/1=3/4[/tex] (STAYS THE SAME)
[tex]1/2*2/2=2/4[/tex]
Now, as you can see, 3/4 is larger than 2/4.
Therefore, 3/4 is larger than 1/2.
factor m^4 + 9m^2 + 20 completely
Answer:
Step-by-step explanation:
m^2(m^2+9)+20
does any one nows how to solve this
1) Em uma rua há duas casas e em cada casa há dois galinheiros. Em cada galinheiro há dois cercados, em cada, há duas galinhas, e cada galinha tem dois pintinhos. Qual o total de pintinhos dessas casas?Pergunta sem título *
Answer:
Hay 32 pollitos en total.
Step-by-step explanation:
Para contestar a la pregunta planteada se debe realizar el siguiente razonamiento matemático:
Casas = 2
Gallineros = 2
Cercados = 2
Gallinas = 2
Pollitos = 2
2 x 2 x 2 x 2 x 2 = X
4 x 2 x 2 x 2 = X
8 x 2 x 2 = X
16 x 2 = X
32 = X
Por lo tanto, hay 32 pollitos en total.
Share 68 in the ratio 8:9
Answer:
68:76.5
Step-by-step explanation:
create the ratio 68/x=8/9, then simplify the side you can so get 68/x=.8888... then multiply both sides by x to get rid of the fraction, 68=.8888...x. now divide both sides by .8888... to get x by itself, 76.5=x
if you have any questions, leave them int eh comments and i will try to answer them, if this helped, pls give brainliest
Pls help, this question has been bugging me for a while.
Answer:
Step-by-step explanation:
The square length of hypotenus (the side lenght that sees 90 degrees) is equal to sum of square length of side lengths
Let x represent the missing side
6^2 = 4^2 + x^2
36 = 16 + x^2 subtract 16 from both sides
20 = x^2 and x = 2[tex]\sqrt{5}[/tex]
What shape is at the top of the quadrilateral hierarchy? parallelograms quadrilaterals squares rectangles
Answer:
quadrilaterals
Step-by-step explanation:
The shape is at the top of the quadrilateral hierarchy are quadrilaterals.
What is a quadrilateral?A quadrilateral is a polygon that has four sides and four angles. Types of quadrilateral are parallelograms, square, rectangle, kite.
All squares and rectangles are parallelogram while all shape with four sides are quadrilaterals.
The shape is at the top of the quadrilateral hierarchy are quadrilaterals.
Find out more on quadrilateral at: https://brainly.com/question/23935806