Sylvain spent a total of 18 hours on English and math homework over the last 3 weeks. He spent twice as much time on English than on math. Let x represent the number of hours spent on English and y represent the number of hours spent on math.
x + y = 18. x = 2 y.
What is the solution of the system of equations?
(12, 6)
(6, 12)
(9, 9)
(15, 3)
Answer:
12, 6
Step-by-step explanation:
we have two equations
x + y = 18 .... . (i)
and x = 2y .... .(ii)
substituting the value of x from eq. (ii) in eq. (i)
2y + y = 18
3y = 18
y = 6
putting this value if y in equation (ii) to get x
x = 2 × 6
= 12
therefore,
(12, 6) is the solution to the system of equations
negative3.5 degree F, 5 degree F, 1.5 degree F, negative 0.5 degree F, negative 2 degree F, 2.5 degree F, negative 4 degree F. Part 1: Weather Analysis Plot and label the temperatures on a number line. You can create the number line by using a drawing program, by drawing it by hand and sending in a picture, or by describing in detail how the completed number line should look.
Is the triangle obtuse, acute, equilateral or right?
9514 1404 393
Answer:
obtuse
Step-by-step explanation:
The law of cosines tells you ...
b² = a² +c² -2ac·cos(B)
Substituting for a²+c² using the given equation, we have ...
b² = b²·cos(B)² -2ac·cos(B)
We can subtract b² to get a quadratic in standard form for cos(B).
b²·cos(B)² -2ac·cos(B) -b² = 0
Solving this using the quadratic formula gives ...
[tex]\cos(B)=\dfrac{-(-2ac)\pm\sqrt{(-2ac)^2-4(b^2)(-b^2)}}{2b^2}\\\\\cos(B)=\dfrac{ac}{b^2}\pm\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]
The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...
[tex]\cos(B)=\dfrac{ac}{b^2}-\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]
The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.
Which sequence of transformations will change figure PQRS to figure P′Q′R′S′? (5 points)
A coordinate grid is labeled from negative 5 to 0 to 5 on both x and y axes at increments of 1. Figure PQRS has P at ordered pair 1, 2, Q at 2,1, R at 3,2, S at 3,3.
Figure P prime Q prime R prime S prime has P prime at ordered pair 1,negative 2, Q prime at 2,negative 1, R prime at 3,negative 2 and S prime at 3,negative 3.
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection about the x-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection about the y-axis
Answer:
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis
Step-by-step explanation:
PLZ HELP 10 POINTS
Is the transformed figure (image) congruent to the original (pre-image) figure?
Congruent means there's exact shape and angle magnitude since transformation requires relocation of an image there's no change to it's shape therefore it's congruent
Use the drop-down menus to complete each equation so the statement about its solution is true.
Answer:
7x+5
Step-by-step explanation:
2x+5+2x+3x
=2x+2x+3x+5
=7x+5
lets evaluate 81^-3/4.
Answer:
1/ 27
Step-by-step explanation:
[tex] = 81^{ \frac{-3}{4} } [/tex]
[tex] = (\frac{1}{81}) ^{ \frac{3}{4} } [/tex]
[tex] = (\frac{1}{3}) ^3 [/tex]
[tex] = \frac{1}{27} [/tex]
Mary and her three friends go out to lunch and their bill is $36. If they want to tip their waitress 15%, how much money should they tip?
GOOD EXPLAINING PLEASE
A quadrilateral that has its opposite sides equal and its angles, not a 90 is called:
a. deltoid
b. parallelogram
c. rectangle
d. square
e. trapezoid
Marly gets 5 gems every 5 minutes. If Marely has 180 gems, how many minutes have passed?
Answer:
180
Step-by-step explanation:
It is one gem per minute.
What are some transformations that would map DFE to ABC on this coordinate plane? Other than a unit movement
Answer: You could use a translation since the shape is maintaining its orientation and size. All it’s doing is moving to the right.
Rewrite 24.5 as a mixed number in lowest terms.
Rewrite 0.85 as a fraction in lowest terms.
Answer:
49/2, 17/20
Step-by-step explanation:
24.5=245/10=245÷5/10÷5=49/2
0.85=85/100=85÷5/100÷5=17/20
Answer:
Mixed numbers
a) 24 1/2
b) 85/100 = 17/20
Step-by-step explanation:
a) as they asked mixed number we only have to create a fraction for the decimal 0.5 = 1/2 and rewrite 24 1/2 = 24.5
If the question asked for lowest terms 24/5 then 24.5% = 245/1000 = 49/200
b) rewrite 0.85 as a fraction in lowest terms
0.85 = 85% = 85/100 = 17/20
D = ______
R = ______
Answer:
picture unclear
Step-by-step explanation:
Answer:
. a real coordinate space of dimension n, written Rn or R n {\displaystyle ... C 1 > 0 , ∃ C 2 > 0 , ∀ x , y ∈ R n : C 1 d ( x , y ) ≤ q ( x − y ) ≤ C 2 d ( x , y ) . {\displaystyle \exists C_{1}>0,\ \exists C_{2}>0,\ \forall \mathbf {x} ,\mathbf ...
Step-by-step explanation:
The equations x minus 2 y = 4, 4 x + 5 y = 8, 6 x minus 5 y = 15, and x + 2 y = 0 are shown on the graph below.
On a coordinate plane, there are 4 lines. Green line goes through (0, 0) and (2, -1). Blue line goes through (0, negative 2) and (2, negative 1). Pink line goes through (0.75, negative 2), and (2.5, 0). Purple line goes through (0, 1.5) and (2, 0).
Which system of equations has a solution of approximately (1.8, –0.9)?
6 x minus 5 y = 15 and x + 2 y = 0
4 x + 5 y = 8 and 6 x minus 5 y = 15
x minus 2 y = 4 and 4 x + 5 y = 8
6 x minus 5 y = 15 and x minus 2 y = 4
Answer:
Step-by-step explanation:
.1x7 8, 6
Answer:
its A on endg
Step-by-step explanation:
trust.
have yall noticed for the quiz that every answer so far is a (if ur on the same one i am, assuming we are)
PLEASE HELP FAST, I CANT GET IT WRONG
Answer: I think it is 12 divided by 7
Identify the initial value and rate of change for the graph shown
A coordinate plane graph is shown. A line passes through the y-intercept at 1 and through the point 5 comma 4.
Initial value: 1, rate of change 3 over 5.
Initial value: 3 over 5., rate of change: 0
Initial value: 1, rate of change 5 over 3.
Initial value: 5 over 3., rate of change: 0
The blue shape is a dilation of the black shape. What is the scale factor of the dilation? Simplify your answer and write it as a fraction or whole number.
Answer:
3 or 3/1 (the 1 is the denominator)
Step-by-step explanation:
the shape got 3 times bigger. let me know
Hello! Please help ASAP!!!
Turn this problem into a Pythagorean Theorem diagram
Aleena’s car is 7 miles north from Starbucks. Aryona’s car is located 4 miles west from Aleena. How far is Aryona from the Starbucks.
When you add 6 to the product of a number and 10, the result is 36. What is the number?
A) 3
B) 6
C) 2
D) 4
Answer: the number is 3.
Step-by-step explanation:
(x × 10) + 6 = 36
[(3) × 10] + 6 = 36
Answer:
3
Step-by-step explanation
First let's create an equation
Let x = number
Product is outcome of multiplication
The product of 10 and a number can be written as 10x
Were supposed to add 6 to the product and that should equal 36
So the equation is 10x + 6 = 36
We now solve for x using basic algebra
10x + 6 = 36
Subtract 6 from both sides
10x = 30
Divide both sides by 10
X = 3
pls help find the angle
find the value of a and be when x is 12 a= 5x^2/2 b= 2x^2(x-5)/10x
Answer:
a=360
b=168
Step-by-step explanation:
a=5×12×12/2=5×12×6=360
b=2×12×12×(12-5)/10×12=2×12×7=14×12=164
y varies inversely as the square of x
y=1.5 when x=8
Find y when x=5
Answer:
3.84
Step-by-step explanation:
Given that , y varies inversely as the square of x . Mathematically we can write this statement as ,
[tex]\implies\rm y \propto \dfrac{1}{x^2}[/tex]
Let k be the constant . Therefore ,
[tex]\implies\rm y = k \dfrac{1}{x^2}[/tex]
When y = 1.5 and x = 8 :-
Plug in the respective values ,[tex]\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm 1.5 = k \times \dfrac{1}{8^2} \\\\\implies\rm k = 1.5 \times 64 \\\\\implies\rm k = 96[/tex]
When x = 5 :-
[tex]\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm y = 96 \times \dfrac{1}{5^2}=\dfrac{ 96}{25} \\\\\implies\rm\boxed{ y = 3.84 }[/tex]
Answer: 3.84
hope it helped!
Which of the following is a step in simplifying the expression x multiplied by y to the power of 2 over x to the power of negative 3 multiplied by y to the power of 3, the whole to the power of negative 4.? (5 points)
x to the power of negative 4 multiplied by y to the power of negative 2, the whole over x to the power of negative 7 multiplied by y to the power of negative 1.
x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of 12 multiplied by y to the power of negative 12.
x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of negative 3 multiplied by y to the power of 3.
x to the power of negative 4 multiplied by y to the power of negative 2, the whole over x to the power of negative 3 multiplied by y to the power of 3.
Answer:
x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of negative 3 multiplied by y to the power of 3
Step-by-step explanation:
Which of the following is the solution to the inequality below? 5x - 6 [tex]\leq[/tex] 14
A) x [tex]\leq[/tex] - 4/5
B) x [tex]\geq[/tex] 4
C) x [tex]\geq[/tex] - 4/5
D) x [tex]\leq[/tex] 4
Answer:
D. x [tex]\leq[/tex] 4
Step-by-step explanation:
1. You add 6 to each side
2. Divide each side by 5 to isolate x
Answer:
answer is A.
Step-by-step explanation:
-5x-10 <20
Group like terms
-5x < 20 + 10
-5x < 30
Divide both sides by -5
what is the additive inverse of [tex]\frac{2}{3}[/tex]
A. 3/2
B. 0
C. -2/3
D. -3/2
show al your work please due very soon
Answer:
your answer is C. -2/3
Step-by-step explanation:
In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite (number), sign change, and negation. For a real number, it reverses its sign: the additive inverse (opposite number) of a positive number is negative, and the additive inverse of a negative number is positive. Zero is the additive inverse of itself. In this case, -2/3 is the additive inverse of 2/3.
Can someone solve this please.
Answer:
find fist the lcm and gcf for each data
15 POINTS!!!
Identify the initial value and rate of change for the graph shown
A coordinate plane graph is shown. A line passes through the y-intercept at 1 and through the point 5 comma 4.
Initial value: 1, rate of change 3 over 5.
Initial value: 3 over 5., rate of change: 0
Initial value: 1, rate of change 5 over 3.
Initial value: 5 over 3., rate of change: 0
Answer:
Step-by-step explanation:
y=mx+b
y-intercept= 1
b=1
point (5,4)
x=5
y=4
y=mx+b
4=m(5)+1
5m=3
m=3/5
rate of change = 3/5
ok look i know ya'll are tired of me but please help
Which of these situations are represented by the integer shown on the number line? Select all that apply.
The stock market fell five points yesterday.
The temperature is five degrees below zero.
Shanti found a five dollar bill.
The team lost five yards on their last play.
I NEED THIS RN IMMEDIATELY ASAP PLS HELP !!! INSTRUCTIONS ARE ON THE FIRST PIC! (pls no links to other sites)
HELP ASAP I WILL MARK BRAINLIEST AND GIVE POINTS!!!!!! (FAKE ANSWERS REPORTED)
The following figures are not drawn to scale but AB and CD if present) are straight lines. Find x:
Answer:
x=60
Step-by-step explanation:
y=x
90-30=y
60=y
x=60
