Answer:
The point (-3,-5) is the solution of the system because it satisfies both equations
Step-by-step explanation:
System of equations
A system of equations represents a situation where multiple conditions apply, and the possible solution to the system, if any, must satisfy all conditions, not just some of them.
We have the system of equations:
[tex]\left\{\begin{matrix}y=x-2\\ y=3x+4\end{matrix}\right.[/tex]
The solution of the system is an ordered pair (x,y) that satisfies both equations.
Test the point (-3,-5):
[tex]\left\{\begin{matrix}-5=-3-2=-5\\ -5=3*(-3)+4=-9+4=-5\end{matrix}\right.[/tex]
We can see both equalities are true, thus the point (-3,-5) is the solution of the system because it satisfies both equations
Answer:
B is correct
Step-by-step explanation:
You spin the spinner shown below once. Each sector shown has an equal area. What is P(beaver ) P(beaver)start text, P, left parenthesis, b, e, a, v, e, r, end text, right parenthesis? If necessary, round your answer to 2 22 decimal places.
Answer:
0.8
Step-by-step explanation:
If you look at the wheel it has a total of 5 sections and 4 of the sections are beaver.
Therefore, 4/5 = 80% or 0.8
Answer:
it was 1/3
Step-by-step explanation:
i know because i got it right on khan academy adn sorry if im am late
The height, h, in feet of the tip of the minute hand of a wall clock as a function of time, t, in minutes can be modeled by the equation h = 0.75 cosine (StartFraction pi Over 30 EndFraction (t minus 15)) + 8. Which number (from 1 to 12) is the minute hand pointing to at t = 0?
Answer:
C. 9
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
At the same time a 12-foot pole casts an 18-foot shadow, a nearby tree casts a 30-foot shadow. How tall is the tree in feet?
Answer: 20 Feet
Step-by-step explanation:
Answer:
45ft
Step-by-step explanation:
This is just a ratio.
12:18
30:?
30/12=2.5
so do, 18*2.5=45
so, the tree is 45 ft
Mary sells lemonade, and she sells 10 cents from ever cup she sells to charity. The cups of lemonade are 45 cents. One day she made $17.10. How much money did she to charity that day.
Answer:
$3.80
Step-by-step explanation:
Given that:
One cup of lemonade is sold at 45 cents.
Total money made = $17.10
Number of cups of lemonade sold can be found by dividing the total money made with the sale price of one cup of lemonade.
Number of cups of lemonade sold = [tex]\frac{\$18.10}{45\ cents} = \frac{\$18.10}{\$0.45} =38[/tex]
For each cup sold, 10 cents are donated.
Total money donated = 38 [tex]\times[/tex] 10 = 380 cents = $3.80
Therefore, the answer is:
Total money donated by Mary is $3.80
A rectangle has a height that is 5 inches less than the base. If the area of the rectangle is 57 inches square, what are the height and base of the rectangle?
Answer:
The height and base of the rectangle are approximately 5.453 inches and 10.453 inches, respectively.
Step-by-step explanation:
From Geometry we remember that area of a rectangle ([tex]A[/tex]), measured in square inches, is equal to:
[tex]A = w \cdot h[/tex] (Eq. 1)
Where:
[tex]w[/tex] - Width, measured in inches.
[tex]h[/tex] - Height, measured in inches.
In addition, we get the following relationship from statement:
[tex]w = h+5\,in[/tex] (Eq. 2)
If we know that [tex]A = 57\,in^{2}[/tex], then the height of the rectangle is:
[tex]57\,in^{2} = (h+5\,in)\cdot h[/tex]
[tex]h^{2}+5\cdot h -57 = 0[/tex]
From Quadratic Formula we obtain the following roots:
[tex]h_{1} \approx 5.453\,in[/tex] and [tex]h_{2}\approx -10.453\,in[/tex]
Only the first root offers a reasonable solution, as length has always positive values. Thus, the height of the rectangle is approximately 5.453 inches.
Now we calculate the width of the rectangle from (Eq. 1):
[tex]w = \frac{A}{h}[/tex]
If we know that [tex]A = 57\,in^{2}[/tex] and [tex]h \approx 5.453 \,in[/tex], then the width of the rectangle is:
[tex]w = \frac{57\,in^{2}}{5.453\,in}[/tex]
[tex]w \approx 10.453\,in[/tex]
The height and base of the rectangle are approximately 5.453 inches and 10.453 inches, respectively.
Two angles are supplementary. If one angle measures 46 degrees, how many degrees are in the other angle? *
Answer:
134
Step-by-step explanation:
180-46=134
A truck can be rented from Company A for $130 a day plus $0.30 per mile. Company B charges $40 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer: 300 miles
Step-by-step explanation:
Let x= Number of miles driven by both cars.
As per given,
For Company A
Charges = $130 a day plus $0.30 per mile.
i.e. Total charge = 130+0.30x
For Company B
Charges =$40 a day plus $0.60 per mile
i.e. Total charge =40+0.60x
When the rental cost for both company is same,
40+0.60x=130+0.30x
⇒ 0.60x-0.30x= 130-40
⇒ 0.30x= 90
⇒ x= 90÷0.30
⇒ x= 300
hence, the number of miles in a day at which the rental costs for Company A and Company B are the same = 300
Marshall bought 20 refills and sold Them at $4 each. If it had cost $ 50 for the refills, what his profit or loss percentage
Answer:
cost = 50
sold price = 20 × 4 = 80
he have profit
percent =
the profit percent is 62.5
HOPE ITS HELPFUL
AND MARK AS BRAINIEST
Step-by-step explanation:
What is the value of this expression -4.2(0.35-3.5)
Enter your answer in the box as a decimal
Answer:
13.23
Step-by-step explanation:
Answer: When we use the order of operations to solve this expression we get the Answer 13.23 Hope this helps
Step-by-step explanation:
I’ll mark brainliest!
Please help
Answer:
-6
Step-by-step explanation:
because the last number in the slope intercept form equation is always the y intercept
Answer:
y-intercept = -6Step-by-step explanation:
[tex]y = -4x -6[/tex]
Let x equal 0
[tex]y= -4(0) -6\\\\y =0-6\\\\y = -6[/tex]
please helppppp me i need answers really fast I'm so confused!! i'll give brainliest to the correct answer
Find the values of x and y.
A. x = 129, y = 51
B. x = 51, y = 129
C. x = 66, y = 17
D. x = 17, y = 66
Answer:
C
Step-by-step explanation:
129=2x-3
132=2x
x=66
129+3y=180
180-129=3y
51=3y
y=17
What does the solution of a linear inequality represent?
the sum of three and number x is 20.
Answer:
x=17
Step-by-step explanation:
Si al triple del cuadrado de un número se le suma siete veces el mismo número se obtiene por resultado 10. ¿Cuál es ese número?
Answer:
The value of the number is either 1 or -10/3
Step-by-step explanation:
If the same number is added to triple the square of a number seven times, the result is 10. What is that number?
Let the number = x
Therefore, we have;
3·x² + 7·x = 10
Therefore, we have;
3·x² + 7·x - 10 = 0
Dividing by 3 gives;
x² + 7/3·x - 10/3 = 0
Factorizing gives;
(x - 1)·(x + 10/3) = 0
x = 1 or -10/3
The number is either 1 or -10/3.
I NEED THE ANSWER PLEASE
Answer:
Not a function because some x values have multiple y values
Step-by-step explanation:
The meaning of a function is that an x value can only have on y value. If we were to pass a vertical line through this graph, we would find that about 2 points would be hit every time. This tells us that the x values have multiple y values and it's not a function.
dam im just so dumb and need help on everything!!!!!!!
Answer:
I think it is the last answer, [tex]\sqrt{2}[/tex] and 1.23459876567
Answer:
Last one
Step-by-step explanation:
For something to be 'irrational', you shouldn't be able to put it in a fraction. You can know if something is irrational because when you look at it in decimal form and the numbers after the decimal point are random and do not follow a pattern (ie 276276276...).
Hence that is why pi is irrational as well because the numbers after the dec. point are: 3.1415626.... there is no visible pattern
Please help! Will give brainliest if correct!
Answer:
190.47 (190 47/100)
Step-by-step explanation:
First, you need to find a common denominator, which is 100. So multiply 3/10 by 10 with both the numerator and denominator. So your new equation should be 382 30/100 - 191 87/100. Even though 382 is larger than 191, 3/100 is still less than 87/100. So what you do is cross out the first/whole number and then add the denominator.
Hope this helped! <3
Answer:
190.43
Step-by-step explanation:
Convert the denominator to 100
> 382 30/100 - 191 87/100
Subtract the whole numbers and the fractions separately
> (382 -191) + (30/100 - 87/100)
> 191 + (-57/100)
> 190 43/100
= 190.43
Michelle kayaked 3.22 miles on monday. She kayaked three more miles on tuesday than wendsday. She traveled one mile less on wendesday than she did on tuesday. How many miles did she kayak over the three days?
Answer:
11.66
Step-by-step explanation:
GIVING BRAINLIST PLEASE HELP
In the figure at the right, if PQ is perpendicular to QR,
then a + b + c + d =?
P
A) 180°
B) 225°
C) 270°
D) 360°
Answer:
a + d = 90
c + b = 180
==> C) 270
Find the product.
(9a^2 +8b) (a^2 - b)
Answer:
9a4−a2b−8b2
Step-by-step explanation:
=(9a2+8b)(a2+−b)
=(9a2)(a2)+(9a2)(−b)+(8b)(a2)+(8b)(−b)
=9a4−9a2b+8a2b−8b2
A mosquito beating its wings
produces sound waves with
a frequency of 700 Hz and a
wavelength of 0.5 m.
frequency: f=700 Hz
wavelength: X= 0.5 m
a. Find: wave speed: s
s=f
b. Substitute:
s = 700 x 0.5 = 350
c. Determine the units:
units of s = (units of f) x
(units of X)
(Hz) x (m)
= (1/s) x (m) = m/s
11. Use a Simple
Equation How fast are the
sound waves of the beating
mosquito wings traveling?
Answer:
v = 350 m/s
Step-by-step explanation:
Given that,
Frequency of sound waves of a mosquito beating, f = 700 Hz
Wavelength, [tex]\lambda=0.5\ m[/tex]
The speed of a wave is given by the formula as follows :
[tex]v=f\lambda\\\\v=700\ Hz\times 0.5\ m\\\\v=350\ m/s[/tex]
So, the sound waves of the beating mosquito wings traveling at speed of 350 m/s.
I need help solving it and I need a step by step explanation.
Answer:
y = 125*
Step-by-step explanation:
so the area of a triangle adds up to 180*
180 - 55 = 125
correct me if i am wrong also do u have any answer choices?
ASAP ASAP ASAP
help me please
Answer:
The answer is b
Step-by-step explanation:
Answer:
B; 22.75 square meters
Step-by-step explanation:
I got it correct. Trust me.
Which of the following describes the roots of the polynomial function f (x) = (x minus 3) Superscript 4 Baseline (x + 6) squared?
Answer:
3 with multiplicity 4 and –6 with multiplicity 2
Step-by-step explanation:
Set equal to zero and solve for
x
. The multiplicity of a root is the number of times the root appears.
x=3(Multiplicity of 4)
x=−6(Multiplicity of 2)
Answer:D
Step-by-step explanation: I think this is the answer on edge
9 divided by 7
Show working plz
Answer:
1
2 Remainder
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 7 on the left side and the dividend 9 on the right side like this:
7 ⟌ 9
Step 2:
The divisor (7) goes into the first digit of the dividend (9), 1 time(s). Therefore, put 1 on top:
1
7 ⟌ 9
Step 3:
Multiply the divisor by the result in the previous step (7 x 1 = 7) and write that answer below the dividend.
1
7 ⟌ 9
7
Step 4:
Subtract the result in the previous step from the first digit of the dividend (9 - 7 = 2) and write the answer below.
1
7 ⟌ 9
- 7
2
You are done.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 9 divided by 7 calculated using Long Division is:
1
2 Remainder
a²+3a²ta
Could someone answer for me please?
Thanks
Answer:
a^2x(1+3at)
Step-by-step explanation:
-6=v-19w solve for v
Show that the function f(x) = x^3 + 5/x. is even, odd, or neither
Answer:
it is odd
Step-by-step explanation:
y=x^2-8 is linear or nonlinear
Answer:
Nonlinear.
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
We notice that if the line is linear, x will NOT go over a degree of 1.
x² is a quadratic function, and its slope is not proportional like a linear line.
--3.6 - 1.9t + 1.2 + 5.1t please help me solve it
Answer:
the correct answer is 8. hope this helps
Answer:
3.2t -2.4
Step-by-step explanation:
-3.6 - 1.9t + 1.2 + 5.1t
(add like terms)
3.2t - 2.4
