Answer:
n = 135/7
Step-by-step explanation:
2 x long side + short side = 75
substitute measures ⇒ 2(1.5n + 3) + (0.5n + 1.5) = 75
multiply out brackets ⇒ 3n + 6 + 0.5n + 1.5 = 75
gather like terms ⇒ 3n + 0.5 n + 6 + 1.5 = 75
combine like terms ⇒ 3.5n + 7.5 = 75
subtract 7.5 from both sides ⇒ 3.5n = 67.5
divide both sides by 3.5 ⇒ n = 135/7
The quantities x and y are proportional.
Answer: 0.1
Explanation:
Because y = rx, we can divide both sides by x to isolate r.
r = y/x
Then we'll plug in the values from the table
r = y/x = 1.4/14 = 0.1 for row oner = y/x = 1.6/16 = 0.1 for row twor = y/x = 2.1/21 = 0.1 for row threeYou only need to show your work for one row.
Trains Two trains, Train A and Train B. weigh a total of 196 tons. Train A is heavier than Train B. The
difference of their weights is 60 tons. What is the weight of each train?
Answer:
Train A = 128
Train B = 68
Step-by-step explanation:
We can set up a system of equations for this problem
Let A = # of tons of Train A
Let B = # of tons of Train B
A + B = 196
A = B + 60
Now, we plug in A for the first equation, using substitution
(B+60) + B = 196
2B + 60 = 196
Subtract 60 from both sides
2B = 136
Divide both sides by 2
B = 68
Plug in 68 for B in the 2nd equation
A = 68 + 60
A = 128
Checking work: 128 + 68 = 196 :D hope this helped
Question 3 of 5
Is this relation a function? Justify your answer.
11
10
9
8
7
6
5
1
4
3
2
1
1 2 3 4 5 6 7 8 9 10 11
O A. Yes, because the number of x-values is the same as the number of
yvalues.
B. No, because two points with the same yvalue have different *
values.
C. Yes, because every x- and y-value is positive.
D. No, because two points with the same x-value have different
y
values.
SUBMIT
Answer:
C. Yes, because every x- and y-value is positive
Answer:
The answer is C
Step-by-step explanation:
need the answer for this please :
make a table of value for x-y=6
Answer:
X -3 -2 -1 0 1 2 3. 4 5. 6
y -9 -8 -7 -6 -5 -4. -3 -2. -1 0
Question 2 of 5
Which equation has a solution of x = 3.5?
A. 2x= 7
B. 8-x= 3.5
C. 3x = 10
O D. X+ 4 = 3.9
SUBMIT
What is f(x) = 7x2 42x written in vertex form? f(x) = 7(x 6)2 – 6 f(x) = 7(x 6)2 – 42 f(x) = 7(x 3)2 – 9 f(x) = 7(x 3)2 – 63.
The vertex form of the function f(x) is [tex]\rm f(x)= 7 ( x + 3 )^2 - 63[/tex].
GivenFunction; [tex]\rm f(x) = 7x^2 + 42x[/tex]
What is the vertex form of function?The vertex of a parabola is the point at which the parabola passes through its axis of symmetry.
The standard equation which represents the vertex form of the function is;
[tex]\rm f(x) =(x-h)^2+k^2[/tex]
Where h and k are vertexes of the given parabola.
The function is in vertex form;
[tex]\rm f(x)= 7 x^2 + 42 x\\\\ f(x) = 7 ( x^2+ 6 x ) \\\\ f(x)= 7 ( ( x^2+ 6 x + 9 ) - 9 ) \\\\ f(x)= 7 ( x + 3 )^2 - 63[/tex]
Hence, the vertex form of the function f(x) is [tex]\rm f(x)= 7 ( x + 3 )^2 - 63[/tex].
To know more about the Vertex form lick the link given below.
https://brainly.com/question/9070346
Answer:
f(x)=7(x+3)^2-63
Step-by-step explanation:
Please add brainliest
Match the sides of the right triangle
Help
Answer:
A right-angled triangle has 2 legs and a hypotenuse.
In trigonometry, the 2 legs are labelled opposite and adjacent, and this labeling is interchangeable, depending on which interior angle we are working with.
the hypotenuse is always the side opposite to the 90° angle and is therefore always the longest side. So for this triangle, the hypotenuse is line LM.
For example, If we look at angle L, the line KL is adjacent (next) to it, and line KM is opposite to it. However, if we look at angle M, the line KM is adjacent to it, and the line KL is opposite it. Remember, the hypotenuse doesn't change.
Therefore:
Angle adjacent to side KL = angle L
Angle adjacent to side KM = angle M
Side opposite to angle L = side KM
Side opposite to angle M = side KL
Hypotenuse = side LM
Given: BD ⊥ BC ; ∠ABD ≅ ∠DBE Prove: ∠ABD and ∠EBC are complementary
∠ABD and ∠EBC are complementary by the definition of complementary angles.
Given that in a figure, BD ⊥ BC ; ∠ABD ≅ ∠DBE.
We need to prove ∠ABD and ∠EBC are complementary.
BD ⊥ BC = given
∠DBC = 90° by the definition of perpendiculars.
∠ABD ≅ ∠DBE = given
∴ ∠ABD = ∠DBE by the definition of congruence.
Using the angles addition postulate,
∠EBC + ∠DBE = 90°
Now, replace ∠DBE by ∠ABD, we get,
∠EBC + ∠ABD = 90°
Hence ∠ABD and ∠EBC are complementary by the definition of complementary angles.
Learn more about complementary angles click;
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The complete question is given below.
Ehana says " The students of my class can be divided exactly into groups of five ,as well as groups of six, as well as groups of ten." The number of children in Rehana's class could be ( Select all possible answers
Answer:
30
Step-by-step explanation:
30 can be divided by 5, 6, and 10
Mikayla bought five skirts at $x each. Three of the five skirts came with a
matching top for an additional $9 each. Write and simplify an expression
that represents the total cost of her purchase.
heeeeeeeeeeeelppppppppppp
Answer:
14 %
Step-by-step explanation:
rate of commission
[tex]=\frac{378}{2700} \times100\\=14 ~\%[/tex]
A group of students are playing a game in which each player attempts to toss a beanbag through a hole cut in a piece of plywood. Players earn points for successful tosses and lose points for missed tosses. Results for two players are shown in the table.
Based on the table, which statement is true
Answer:
Each toss is worth 3 Points please brainliest! please <3The correct statement is each successful toss is worth 3 points.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Players earn points for successful tosses and lose points for missed tosses.
Results for two players are shown in the table.
Number of successful toss, number of missed toss and total number of points for Player 1 and Player 2 are given in the table.
Let's assume that:
Each successful toss = +x points
Each missed toss = -y points
From the given table:
4x - 3y = 6 ...(i)
5x - 5y = 5
x - y = 1
y = x - 1
Substituting y in eq(i)
4x - 3(x - 1) = 6
4x - 3x + 3 = 6
x = 3 and y = 2
Hence, the correct statement is each successful toss is worth 3 points.
To learn more on probability click:
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There are 120 candy worms in a bag of Trolli worms. You accidently spilled 1/5 of them in the hallway and
they got trampled. Then you gave 1/6 of your remaining candy worms to your friend. How many candy
worms do you have left?
Answer
80
Step-by-step explanation:
1/5 of 120 is 24
120 - 24 because you dropped 1 /5
gives you 96
then you give 1/6 of what you have left to your friend and that means giving 16 candies to your friend so 96-16
and that gives you 80 candies remaining
WILL GIVE BRAINELIEST
Three friends order a pizza for $14, a bottle of soda for $3 and a large piece of cake to share for $4. The friends want to evenly split the costs. How much does each friend owe? Use mathematics to justify your answer.
Step-by-step explanation:
Total = $14+$3+$4
Total = $21
Each friend owe = $21/3
So, each friend owe $7
Answer:
$7 each
Step-by-step explanation:
Let's determine the total cost first to see how the friends can divide the cost.
The total cost is $21. 14 for a pizza, 3 for the soda, and 4 for the cake.
There are 3 friends and 21 goes evenly in 3. So 21 divided by 3 is $7 per person.
A can contains 48 fluid ounces on fruit juice.How many pints of fruit juice does the can contains
Answer:
It contains 3 pints of fruit juice.
Step-by-step explanation:
A pint is 16 ounces.
48 ounces divided by 16 ounces equals 3, giving us 3 pints.
I hope this helps.
Write an equation that passes through the point and is parallel
to the equation
Write the equation of the line that passes through the
given point and is parallel to the given equation
(2,6) and
y=-3x + 5
Please please help me please
The balance of a loan is $2,570 in January, and the monthly payment is $125.50. The relationship between the loan balance, y, and the number of monthly payments made since January, x, can be represented by the equation y = 2,570 - 125.50x. In what months does the loan balance, y, meet the condition, $1,600 < y < $2,000?
Answer:
June, July, and August.
Step-by-step explanation:
1600<2570-125.5x<2000 subtract 2570 from all terms...
-970<-125.5x<-570 divide all terms by -125.5 (and reverse signs because of division by a negative!)
7.73>x>4.54 and x is months since January, and since months can only be integers...
x=[5,7]
So January + 5, 6, and 7 respectively are the three months that satisfy the equation...
June, July, and August.
write a sine function that has a midline of 3, an amplitude of 5 and a period of 2/7
sin(kx) has period 2π/k
so, you want
2 + 5sin(16π/7 x)
[tex]hope \: its \: helpful \: to \: you[/tex]
help me plz.........
[tex]=\int\limit(\frac{1}{t^{2} }-\frac{2}{t^{3} }) dt \\\\=\int\limit\frac{1}{t^{2} }dt-2\int\limit\frac{1}{t^{3} }dt\\\\=-\frac{1}{t}-2 \int\limit\frac{1}{t^{3} }dt\\\\=\frac{1-t}{t^{2} }[/tex]
Step-by-step explanation:
[tex]\\ \tt\hookrightarrow {\displaystyle{\int}}\left(\dfrac{1}{t^2}-\dfrac{2}{t^3}\right)dt[/tex]
[tex]\\ \tt\hookrightarrow {\displaystyle{\int}}(t^{-2}-2t^{-3})dt[/tex]
[tex]\\ \tt\hookrightarrow {\displaystyle{\int}}t^{-2}-2{\displaystyle{\int}}t^{-3}dt[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{t^{-1}}{-1}-2\dfrac{t^{-2}}{-2}[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{-1}{t}+\dfrac{1}{t^2}[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{-2+1}{t^2}[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{-1}{t^2}[/tex]
Need help asap. I don’t understand this. Plz be serious and know what to do.
Answer:
63 cm²Step-by-step explanation:
To find the surface area, we need to find the area of all the squares and triangles available.
Solution:
Area of triangle = 1/2 x base x altitude=> 1/2 x 3 x 9=> 27/2 cm²=> 13.5 cm²Now, multiply the area of the triangle by 4.
=> 13.5 x 4=> 54 cm²Now, let's find the area of the square.
=> Area of square = side²=> Area of square = 3²=> Area of square = 9 cm²Now, add the area of the triangles and the squares.
=> 54 + 9=> 63 cm²Hence, the surface area of the pyramid is 63 cm².
WILL GIVE BRAINIEST IF CORRECT ANSWER!!!! I need the answer quickly plz I don't need an explanation!
1. unrepresentative
2. true
3. biased
Answer:
unrepresentative
Step-by-step explanation:
pretty sure dont quote me
Natalie saves $35 each month to buy a DVD player. The DVD player
costs $197.99. Will Natalie be able to buy the DVD player in 5 months?
If not, how much more money does she need?
Multiply amount she saves per month by 5 months:
35 x 5 = $175
$175 is less than the price of the player so she won’t have enough to buy it.
197.99 - 175 = $22.99
She needs $22.99.more
please help me tysm i dont understand
Answer:
h = 2[tex]\sqrt{3}[/tex]
b = 3[tex]\sqrt{2}[/tex]
Step-by-step explanation:
to find 'h' we can use the ratio of sides in a 30-60-90° triangle which, respectively, is 1 : [tex]\sqrt{3}[/tex] : 2
so we can set up this proportion:
h/2 = 1/[tex]\sqrt{3}[/tex]
cross-multiply:
h = 2[tex]\sqrt{3}[/tex]
to find 'b' we can use the ratio of sides in a 45-45-90° triangle which, respectively, is 1 : 1 : [tex]\sqrt{2}[/tex]
we can set up this proportion:
3/b = 1/[tex]\sqrt{2}[/tex]
cross-multiply:
b = 3[tex]\sqrt{2}[/tex]
sinθ is equal to the division of the opposite side of the reference angle (θ) by the hypotenuse.
the cosine of an angle in a right triangle equals the adjacent side divided by the hypotenuse
tan30 = h/2
[tex]tan30 = \frac{1}{ \sqrt{3} } [/tex]
1/sqrt3 = h/2
[tex]h = \frac{2}{ \sqrt{3} } [/tex]
sin45 = 3/b
[tex]sin45 = \frac{1}{ \sqrt{2} } [/tex]
1/sqrt2 = 3/b
b/sqrt2 =3
[tex]b = 3 \sqrt{2} [/tex]
Leave your answer I’m exact form
Can someone help pleaseeeee !!!!!
Do the ratios 8/14 and 1/2 form a proportion?
Answer:
They don't form a proportion.
A line passes through the point (1, 5) and has a slope of -9.
Answer:
y= -9x+14
Step-by-step explanation:
the equation of a straight line is y=mx+c
m is the slope
And we are given a y and x term
So we substitute these into the equation:
5= -9(1) + c
rearragne to find c
14= c
so the full equation is:
y= -9x+14
help pleaseeeeeeeeeeeeeeeeee
simplify:
Answer:
The correct answers is letter C
Step-by-step explanation:
= x(1/6 + 2/5 - 8/3) + 42 - 19
= - 21/10x + 42 -19
= -21/10 x + 23
Tell whether the two fi figures are congruent.
