Answer:
6x+5=5x+8+2x
x= -3
Step-by-step explanation:
use like terms so add 5x+2x=7x
6x+5=7x+8
subtract 5 from both sides
6x+5-5=7x+8-5
simplify
-x = 3
divide both sides by -1
-x/-1 = 3/-1
x= -3
so no -5 is not a solution
Identify the ratios for sin A, cos A, and tan A for each of the following right triangle
Answer and Step-by-step explanation:
Sin = [tex]\frac{Opposite}{Hypotenuse}[/tex]
Cos = [tex]\frac{Adjacent}{Hypotenuse}[/tex]
Tan = [tex]\frac{Opposite}{Adjacent}[/tex]
sin A = [tex]\frac{10}{26} = \frac{5}{13}[/tex]
cos A = [tex]\frac{24}{26} = \frac{12}{13}[/tex]
tan A = [tex]\frac{10}{24} = \frac{5}{12}[/tex]
Those are the answers.
#teamtrees #WAP (Water And Plant)
Tina pays $45.50 for 10 boxes of wheat crackers. What is the unit price? *
Unit price = total price / quantity
Unit price = 45.50 / 10
Unit price = $4.55
Answer:
$4.55 because I look it up
Find and interpret the rate of change and the initial value.
5. A pizzeria charges $8 for a large cheese pizza,
plus $2 for each topping. The total cost for a large
pizza is given by the equation C = 2t + 8, where t is
the number of toppings. Graph the equation for
t between 0 and 5 toppings, and explain the meaning
of the slope and y-intercept.
Answer:
Step-by-step explanation:
The total cost for a large pizza is given by the equation:
C=2t+8
where t is the number of toppings.
Now, when t=0 we have:
C=8
when t=1 we have:
C=10
when t=2 we have:
C=12
when t=3 we have:
C=14
when t=4 we have:
C=16
when t=5 we have:
C=18
i.e. the graph of this equation is the ordered pair:
(0,8) , (1,10) , (2,12) , (3,14) , (4,16) and (5,18)
Now, the slope of this function means the cost of each topping.
and the y-intercept represents the cost of the pizza when there are no toppings.
What is the vertex for the parabola shown?
A)
(0, -3)
B)
(1, 2)
C)
(1, 3)
D)
(2, 1)
Answer:
I think is (1, 2) opcion B
The vertex for the parabola shown is, (1, 2).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The parabola is shown in figure.
Now, We know that;
Vertex of parabola is passing through the line of symmetry.
So, By graph;
The vertex for the parabola shown is,
⇒ (1, 2)
Thus, The vertex for the parabola shown is, (1, 2).
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answer and i mark brainliest ok !!
Answer: Both
Step-by-step explanation:
Identify the slope and y-intercept. If the equation is in standard form, you may need to switch it to slope-intercept form. Sketch the graph of each line. 1) y = 6x + 3
Answer:
The slope of line = m = 6
The y-intercept = b = 3
Please check the attached graph below.
Step-by-step explanation:
Given the line
[tex]y = 6x + 3[/tex]
We know that the slope-intercept form of the line is
y = mx+b
here
m is the slopeb is the y-interceptnow compare the slope-intercept form with the given line
[tex]y = 6x + 3[/tex]
so
The slope of line = m = 6
The y-intercept = b = 3
Please check the attached graph below.
how do I do number 1
Answer:
move each point (vertex) 2 units to the left and 1 unit up
Which of the following is the slope of the line that passes through the points (–3, 13) and (5, –7)?
The slope of the line that passes through the points (- 3, 13) and (5, - 7) will be 3/4.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (- 3, 13) and (5, - 7).
Now,
Since, Two points on the line are (- 3, 13) and (5, - 7).
Hence, The slope of the line that passes through the points (- 3, 13) and (5, - 7) is,
⇒ m = (y₂ - y₁) / (x₂ - x₁)
⇒ m = (- 7 - (-13)) / (5 - (-3))
⇒ m = 6/8
⇒ m = 3/4
Thus, The slope of the line that passes through the points (- 3, 13) and
(5, - 7) is,
⇒ m = 3/4
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If sinx=(-15)/17 with π≤x≤3π/2 and cosy=3/5 with 0≤y≤π/2, find the exact value of cos(x-y)
Answer:
sin(x)=(-15)/17cos(x)=(-8)/17cos(y)=3/5sin(y)=4/5[tex] →\cos(x - y) = \cos(x)\cos(y) + \sin(x) \sin(y) \\ =(\frac{ - 8}{17}\times \frac{3}{5}) +(\frac{ - 15}{17} \times \frac{4}{5}) \\ = \frac{ - 24}{85} + \frac{ - 60}{85} \\ = \frac{ (- 24) + ( - 60)}{85} \\ = \boxed{ \frac{ - 84}{85} }✓[/tex]
(-84)/85 is the right answer.A withdrawal of $200
Answer:
are we supposed to do something?
Step-by-step explanation:
Answer: ok a withdrawal of $200
HURRY What is the solution to the trigonometric inequality
2sin(x)+3> sin^2(x) over the interval 0<=x<=2pi radians?
Answer:
C on edge 2021
Step-by-step explanation:
The solution of x for the trigonometric inequality [tex]2sin(x)+3 > sin^2(x)[/tex] is x will lie between 0≤x< [tex]\frac{3\pi}{2}[/tex]
What is trigonometric inequality?An inequality of the standard form R(x) > 0 (or < 0) that consists of 1 or a few trigonometric functions of the variable arc x is a trigonometric inequality. Finding a solution to the inequality means determining the values of the variable arc x whose trigonometric functions make the inequality true.
According to the question
The trigonometric inequality :
[tex]2sin(x)+3 > sin^2(x)[/tex] and the interval 0<=x<=2pi radians
Let sin(x) = t
Now, inequality is :
[tex]2t+3 > t^{2}[/tex]
0 > t² - 2t - 3
0> t² - (3-1)t - 3
0> t² - 3t + t - 3
0> t( t - 3) + 1(t - 3)
0> ( t - 3) (t+1)
t < -1 or t < 3
sin(x) < -1 or sin(x) < 3
as sin(x) can not be 3 because sin oscillates between 1 and -1. Sine will never result in 3 so we disregard this as a solution.
sin(x) < -1
sin(x) < sin ([tex]\frac{3\pi}{2}[/tex] )
x < [tex]\frac{3\pi}{2}[/tex]
And the given interval for x
0<=x<=2pi radians
Therefore,
x will lie between
0≤x< [tex]\frac{3\pi}{2}[/tex]
Hence, The solution of x for the trigonometric inequality [tex]2sin(x)+3 > sin^2(x)[/tex] is x will lie between 0≤x< [tex]\frac{3\pi}{2}[/tex]
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Can somebody help me, please?
I just need help with #12
the first attachment is supposed to help and the second attachment has the question I need to be answered. Please show your work
Answer: x = 9.6
=========================================================
Explanation:
We have two smaller right triangles that are glued together so to speak.
The base of the smaller triangle on the left is 5 while the height is h.
Let's use the tangent rule to find the value of h
tan(angle) = opposite/adjacent
tan(55) = h/5
5*tan(55) = h
h = 5*tan(55)
h = 7.14074003371058
Make sure your calculator is in degree mode. That value of h above is approximate.
--------------------------
Now focus on the smaller triangle on the right
It has the same height value h. This side is the adjacent side while x is the hypotenuse.
We'll use the cosine ratio
cos(angle) = adjacent/hypotenuse
cos(42) = h/x
cos(42) = 7.14074003371058/x
x*cos(42) = 7.14074003371058
x = 7.14074003371058/cos(42)
x = 9.6088135029715
x = 9.6
Mrs. Murphy takes her two cats to the veterinarian in a pet carrier that weighs
2.1 kg. Her older cat, Chuckles, weighs 1 kg more than her younger cat, Shorty.
When the vet weighs both cats in their carrier, the scale registers 11.3 kg.
How much does each cat weigh?
1 hour split into fifths
Answer:
12 Minutes
Step-by-step explanation:
60 minutes in fifths
60 ÷ 5
Answer:
12 min
Step-by-step explanation:
60= 1hr
60/5=12
Given tw circles, circle A with a radius of 3 in. and circle B with a radius of 12 in.
find the ratio of the circumfrence of the smaller circle to the larger circle
Answer:
1 : 4
Step-by-step explanation:
Circumference of the first one: 3 * 2 * π = 6π.
Circumference of the second one: 12 * 2 * π = 24π
Ratio: 6π:24π
divide both sides by 6π
1: 4
Ed buys a box of eggs costing £2.20, two packs of bacon for £2.80 each and two tins of baked beans. He pays with a £10 note and gets 70p change. How much does a tin of beans cost in pounds, £?
Answer:
1 tin of beans = £2.15
Step-by-step explanation:
£10.00-£0.70 = £9.30
£9.30-£2.20=£7.10
£7.10-£2.80=£4.30
£4.30 divided by 2 = £2.15
1 tin of beans = £2.15
estimate 151% of 70.
pls help me!!!
Answer:
106
Step-by-step explanation:
You divide to find the quotient, the actual answer is 105.7, but I rounded it up for simplicity's sake.
Answer:
105.7
Step-by-step explanation:
you have to find what 1.51×70
They each started at the point (-2,5) and moved 3 units vertically in the plane.Identify one of the two sets of coordinates that they arrived at.
-7,5 maaf kalau salah,,,,,,
NEED HELP ASAP!!
soda bottles each
The machine can make
minute.
The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (5,120) and (8,1R2) to find
the number of soda bottles the machine can
make each minute.
The machine can make_soda bottles each minute
Answer:
The machine can make 24 soda bottles each minute
Step-by-step explanation:
We can find the number of bottles the machine can make using the slope formula
Mathematically, this can be given as;
m = (y2-y1)/(x2-x1)
m = (192-120)/(8-5) = 72/3
m = 24
Celine ate brunch at a restaurant. The bill came to $72.80. If she left a 15% tip, what was the total cost of her brunch?
Answer:
$83.69
Step-by-step explanation:
Given the following
Initial Cost of the brunch = $72.80
Percentage tip = 15%
Tip paid = 15% of $72.60
Tip paid = 0.15 * 72.60
Tip paid = $10.89
Total cost of brunch = $72.80 + $10.89
Total cost of brunch = $83.69
Hence the total cost of her brunch is $83.69
Literally had a mental blank, can anyone hwlp me remember how to convert a whole number into a fraction? (the number is 11,031)
Answer:
it's easy just put it over 1 like 11,031/1 and there's your fraction
Step-by-step explanation:
Which system of equations is represented by the matrix below?
[2 -3|8]
[5 0|10]
A. 2y - 3x = 8
5y = 10
B. 3x - 2y = 8
5x = 10
C. 2x - 3y = 8
5x = 10
Answer:
C
Step-by-step explanation:
the x,y matrix will have the form of some x coefficient value, some y coefficient value and then the answer. if one of these values are missing you use a 0 as placeholder. look at the coefficients here. you know one equation will have an x coefficient of 2 and a y coefficient of -3 with a solution of 8 and the other equation will have x coefficient of 5 and no y at all with a solution of 10. only option c meets these criteria
which of the following is equal to the rational expression when x ≠5 or -3?
x^2+x-6/x^2-2x-15
A. x-6/x-5
B. x+3/x-5
C. x-2/x-5
D. x-2/x+3
thank you!
edit: the answer is C
Answer:
C
Step-by-step explanation:
The rational expression satisfies the conditions x ≠ 5 or x = - 3 is,
B. x + 3/x - 5.
What are rational expressions?Polynomials can be found in the numerator, denominator, or both of rational expressions, which are fractions.
Given, An expression in variable 'x' which is x ≠ 5 or x = - 3.
Now, From the given options the rational expression satisfying the statement is, x + 3/x - 5.
As, If x = 5 then the denominator will be zero and the expression will be undefined and on the numerator x + 3 = 0 ⇒ x = - 3.
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Analyze the diagram below and complete the instructions that follow.
A
PLEASE HELP!!! 20 points
E
24
B
D
6
ca
C
Find the length of AB-
A. 16
B. 18
C. 22
D. 32
Answer:
Option (B)
Step-by-step explanation:
From the figure attached,
ΔBCD and ΔACE are the similar triangles.
Therefore, by the property of similar triangles, corresponding sides of these similar triangles will be proportional.
[tex]\frac{AC}{BC}= \frac{EC}{DC}[/tex]
[tex]\frac{AB+BC}{BC}= \frac{ED+DC}{DC}[/tex]
[tex]\frac{AB+6}{6}= \frac{24+8}{8}[/tex]
[tex]\frac{AB+6}{6}= \frac{32}{8}[/tex]
[tex]\frac{AB+6}{6}=4[/tex]
AB + 6 = 24
AB = 18
Option (B) will be the answer.
Solve for variable.Show work
-5-5(6x-8)=-5x+19
Answer:
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−5−5(6x−8)=−5x+19
−5+(−5)(6x)+(−5)(−8)=−5x+19(Distribute)
−5+−30x+40=−5x+19
(−30x)+(−5+40)=−5x+19(Combine Like Terms)
−30x+35=−5x+19
−30x+35=−5x+19
Step 2: Add 5x to both sides.
−30x+35+5x=−5x+19+5x
−25x+35=19
Step 3: Subtract 35 from both sides.
−25x+35−35=19−35
−25x=−16
Step 4: Divide both sides by -25.
−25x
−25
=
−16
−25
x=
16
25
The value of x is 16/25.
What is Algebra?Algebra, a discipline of mathematics where abstract symbols rather than concrete numbers are subjected to arithmetic operations
As per the given data:
We are given an expression, and we have to find out the value of x by solving the given expression.
-5 - 5(6x-8) = -5x + 19
In LHS, multiplying by 5 in the whole bracket.
-5 - [5 × 6x - 5 × 8] = -5x + 19
-5 - [30x - 40] = -5x + 19
In LHS, multiplying by -ve in the bracket.
-5 - 30x + 40 = -5x + 19
Adding 5x both the sides.
-5 - 25x + 40 = 19
Taking all the constants to the RHS after switching signs.
-25x = 19 - 40 + 5
-25x = -16
Multiplying by -ve both the sides.
25x = 16
x = 16/25
The value of x is 16/25.
Hence, The value of x is 16/25.
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Ballio's family traveled 3 10 of the distance to his aunt's house on Saturday. They traveled 4 7 of the remaining distance on Sunday. What fraction of the total distance to his aunt's house was traveled on Sunday?
Complete Question
Ballio's family traveled 3/10 of the distance to his aunt's house on Saturday. They traveled 4/7 of the remaining distance on Sunday. What fraction of the total distance to his aunt's house was traveled on Sunday?
Answer:
4/10
Step-by-step explanation:
Let us represent, the total distance travelled as:
1
Ballio's family traveled 3/10 of the distance to his aunt's house on Saturday.
Distance left to travel = 1 - 3/10
= 7/10
They traveled 4 /7 of the remaining distance on Sunday.
The fraction of the total distance to his aunt's house was traveled on Sunday is calculated as:
4/7 × Distance left to travel
= 4/7 × 7/10
= 4/10
Eric's gas tank is 1/3 full. After he buys 9 gallons of gas it is 5/6 full .How many gallons can Eric's tank hold
Answer:
The number of gallons are "18".
Step-by-step explanation:
According to the question,
⇒ [tex]\frac{5}{6} V-\frac{1}{3}V =9 \ gallons[/tex]
On taking L.C.M, we get
⇒ [tex](\frac{5-2}{6})V =9[/tex]
⇒ [tex]\frac{3}{6}V=9[/tex]
⇒ [tex]V=9\times 2[/tex]
⇒ [tex]V=18[/tex]
Work out the size of angle x.
50°
120°
Х
Step-by-step explanation:
120+b= 180
b=60
x+50+60=180
x=70
The value of angle [tex]x[/tex] will be [tex]70^0[/tex] .
What is triangle ?A triangle is a polygon with three edges and three vertices. Its angles sum property says that the sum of all angles of a triangle is equals to [tex]180^0[/tex] . i.e.
[tex]\angle A + \angle B + \angle C = 180^0[/tex]
We have,
[tex]\triangle ABC[/tex], in which,
[tex]\angle A =50^0[/tex]
[tex]\angle C =x^0[/tex]
Let, [tex]\angle B =y^0[/tex]
Now,
Work out for [tex]\angle B[/tex],
A straight line always makes an angle of [tex]180^0[/tex] i.e. line [tex]CBD[/tex], which is divided into parts at [tex]B[/tex] by [tex]AB[/tex],
So,
[tex]120^0 + y =180^0[/tex]
[tex]y=180-120[/tex]
[tex]y=60^0[/tex]
Now,
Using angle sum property;
[tex]\angle A + \angle B + \angle C = 180^0[/tex]
[tex]50^0+60^0+x=180^0[/tex]
⇒ [tex]x=180-110[/tex]
[tex]x=70^0[/tex]
Hence, we can say that the measure of [tex]x[/tex] in the triangle will be [tex]70^0[/tex] .
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Can you guys help me with this math please??
I will give Brainliest!!
Answer:
The answer is 36 x⁴ y⁴
Step-by-step explanation:
The graph shows a proportional relationship. Which equation matches the graph?
Answer:
D
Step-by-step explanation: