Answer:
12.6 * 0.45
Step-by-step explanation:
Cost of 1 lb of oranges = $ 0.45
Cost of 12 lbs of oranges = 12 * $ 0.45
Hope it helps : )
Evaluate and match each expression on the left to its value on the right, when x=8 and y=3.
Answer:
12-y------------> 9
3x-y------------>21
4y-10----------->2
1/4 xy-----------> 6
Solution,
Given,
X=8
y=3
Now,
[tex]1. \: \: 12 - y \\ \: \: \: = 12 - 3 \\ \: \: = 9 \\ 2. \: \: 3x - y \\ \: \: = 3 \times 8 - 3 \\ \: \: = 21 \\ 3. \: \: 4y - 10 \\ \: \: = 4 \times 3 - 10 \\ \: = 12 - 10 \\ \: \: = 2 \\ 4. \: \: \frac{1}{4} xy \\ \: \: = \frac{1}{4} \times 8 \times 3 \\ = 6[/tex]
hope this helps...
Good luck on your assignment...
If someone can do all of these for me Ill give brainliest i don’t get it at all.
1. State the expression by which you would multiply each side of the equation in order to solve the equation. What value(s) of x cannot be a solution? x/x+4 + 1/2 =1
Answer:
[tex]x = 4[/tex]
[tex]2x + 2(x + 4) \times \frac{1}{2} = 2(x + 4) \\ 2x + x + 4 = 2(x + 4) \\ 3x + 4 = 2(x + 4) \\ 3x + 4 = 2x + 8 \\ 3x + 4 - 2x = 8 \\ x + 4 = 8 \\ x = 8 - 4 \\ x = 4[/tex]
what is the solution to the following inequality? x/-3 ≤ 3 A) x ≥ 6 B) x ≤ -9 C) x ≥ 1 D)x ≥ -9
Answer:
option D
Step-by-step explanation:
x/-3≤3
multiply by (-1) on both sides
x/3≥-3
x>=-9
Answer:
Letter D
Step-by-step explanation:
Please help thank you
Answer:
D
Step-by-step explanation:
subsitute each of the x and y values for each of the equations and if they both equal each other It is correct.
Answer:
x = 2, y= -1
Step-by-step explanation:
12x - y = 25
9x + y = 17
add both equations to eliminate y
21x = 42
divide by 21
x = 42/21
x = 2
sub x in equation i to find y
12(2) - y = 25
24 - y = 25
-y = 1
therefore y = -1, x = 2
write h(x)=x2-6x + 3 in vertex form
Answer: The vertex form is h(x)=(x-3)^2-6
Step-by-step explanation:
Using the complete the square method, first complete any squares
X^2-6x+(-3)^2-(-3)^2+3
Use the binomial formula
(x-3)^2 - (-3)^2 +3
Simplify
(x-3)^2-6
f(x)= 2x^2 + 5x - 17, find f(-1).
Answer:
-20
Step-by-step explanation:
f(x)= 2x^2 + 5x - 17,
f(-1)
Let x = -1
f(-1)= 2 *(-1)^2 + 5(-1) - 17
= 2 *1 -5 -17
= 2 -22
= -20
Answer:
-20
Step-by-step explanation:
f(x)= 2x² + 5x - 17
Put x as -1.
f(-1)= 2(-1)² + 5(-1) - 17
Solve for the powers.
f(-1)= 2(1) + 5(-1) - 17
Multiply the terms.
f(-1)= 2 + -5 - 17
Add or subtract the terms.
f(-1)= -20
Emily is 280 miles away from home. She is traveling back at a rate of 40 miles per hour. Determine which graphs and which equation represents Emily’s distance from home, D, after Emily travels h hours.
Answer:
-40*h+280
Step-by-step explanation:
Let s define the function f which represents Emily's distance from home
at h = 0 Emily is 280 miles away from home
so f(0)=280
as she is traveling back at a rate of 40 miles per hour
f(h)=-40*h+280
the graph is below
The required equation for the distance is y = 280 - 40h and graph is shown below.
What is speed?In unit time, the distance covered by any object is called speed.
In mathematical term, Speed is express as S = D/T,
where S=speed, D=distance, T= time.
Given that,
Distance of Emily from her home = 280 miles,
The speed of Emily of coming back = 40 miles per hour.
In h hours, the distance covered by Emily = 40h
Let the remaining distance is y,
So the equation can be written as,
y = 280 - 40h.
The graph of the equation represented below.
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What is the sum of the geometric sequence 1, 4, 16, ... if there are 8 terms? (6 points)
Answer:
21,845
Step-by-step explanation:
The sum of geometric sequence:
S n = a 1 * ( q^n - 1 ) / ( q - 1 )
where: a 1 = 1,
q = a 2 : a 1 = 4 : 1 = 4
S 8 = 1 * ( 4^(8) - 1 ) / ( 4 - 1 ) =
= ( 65,536 - 1 ) / ( 4 - 1 ) = 65,535 / 3 = 21,845
у
What is the equation of the line that is parallel to the given
line and has an x-intercept of -3?
4
3
o y=x+ 3
o y=x+2
(3.1)
3 4
5
X
54
21
10.21)
2
o y=-3x + 3
cy=-x+2
Answer:
y=x+ 3
Step-by-step explanation:
The given equation is y = x, which is parallel to y = x + 3
Also, the equation I chose has an x-intercept of -3.
The equation of the line that is parallel to the given line and has an x - intercept of - 3 is,
⇒ y = 2/3x - 1
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, 1) and (0, -1).
Now,
Since, The equation of line passes through the points (3, 1) and (0, -1).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 1 - 1) / (0 - 3)
m = - 2 / - 3
m = 2/3
Thus, The equation of line with slope 2/3 is,
⇒ y - 1 = 2/3 (x - 3)
⇒ y - 1 = 2/3x - 2
⇒ y = 2/3x - 1
Therefore, The equation of the line that is parallel to the given line and has an x - intercept of - 3 is,
⇒ y = 2/3x - 1
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PLEASEEEE.. MY TEACHER IS ASKING FOR THE ANSWER
See attached graph: v is on the y-axis and t is on the x-axis
Determine whether the geometric series 25 − 5 + 1 − 0.2 ... converges or diverges, and identify the sum if it exists.
Answer:
Converges
Sum = 20.8333
Step-by-step explanation:
A geometric series has a general formula of:
[tex]\sum ar^n[/tex]
Where 'a' is the initial term, 'n' is the number of terms, and 'r' is the constant ratio. If |r| < 1 than the series converges.
In this particular case, the initial term is a=25, and each term is being divided by -5, or multiplied by -0.2, so the general form would be:
[tex]\sum 25*(-0.2)^n[/tex]
Since 0.2 < 1.0, the series converges.
The sum of the series is given by:
[tex]S=\frac{a}{1-r}\\S=\frac{25}{1-(-0.2)}\\S=20.8333[/tex]
The sum is 20.8333.
The geometric series converges and the sum is equal to 20.83.
What is a Geometric Series ?A geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms .
A geometric series has a general formula of:
∑arⁿ
Where 'a' is the initial term, 'n' is the number of terms, and 'r' is the constant ratio. If |r| < 1 than the series converges.
In this particular case, the initial term is a=25 and each term is divided by -5 or multiplied by (-0.2)
Therefore r = -0.2 and as it is <1 therefore the series converges
The sum of a convergent series is
S = a/(1-r)
S = 25/(1-(-0.2))
S= 25/1.2
S = 20.83
Therefore the sum of the series is 20.83
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Change each algebraic expression to a verbal expression.
1. A+B = 10
2. 4x - y = a
Answer:
1. A letter, A, added to a letter, B, equals ten.
2. A letter, x, which is multiplied by 4, then has a number, y, subtracted from it to equal a letter, a.
If you try write these out, I'm sure you'd get the algebraic expression given.
Change the unit of length. 6 ft 2 in. = _____ ft Answer Choices A. 6 1/3 B. 6 1/6 C. 6 1/12 D .6 2/3
Answer:
6 1/6 ft
Step-by-step explanation:
12 inches = 1 ft
So 2 inches is 2/12 of a foot
2/12 = 1/6
6 ft 2 inches = 6 1/6 ft
What type of transformation transforms (a , b) to (-a , b)
Answer:
A reflection across the y axis
Step-by-step explanation:
think about it, if you reflect some point across the y-axis it will have a negative x value. For example, if you reflect (1,2) across the y-axis you will get (-1,2)
Answer:
This type of transformation is called mirroring in the y-axis.
Step-by-step explanation:
By mirroring in the y-axis, you can find the new value, by multiplying the x-coordinate by -1.
Any point (a , b) will be transformed after mirroring in the y-axis, to (-a , b), which is the question here.
This type of transformation is called mirroring in the y-axis.
if four points are collinear, they are also coplanar
Answer:
Hi there!
The correct answer is: True
Step-by-step explanation:
If there is a line, there are infinite planes that pass through that line, therefore since the 4 points are in a line, they are coplanar .
3. The probability of a marksman scoring a bulls-eye on any shot is 0.26. The probability
of an inner is 0.42 and the probability of an outer is 0.24. What is the probability of each of
the following:
a) Scoring an inner or better. This means an inner or closer.
b) Failing to hit the target.
c) Failing to score a bulls-eye.
Answer:
a) 0.68
b) 0.08
c) 0.74
Step-by-step explanation:
Given that:
Probability of hitting bulls eye, P(B) = 0.26
Probability of an inner, P(I) = 0.42
Probability of an outer, P(O) = 0.24
a) Probability of hitting an inner or better (inner or bulls eye):
P(I or B) = P(I [tex]\cup[/tex] B)
Formula for P(P [tex]\cup[/tex] Q) where P(P) and P(Q) are the probabilities of two mutually exclusive events i.e. having nothing in common:
P(P [tex]\cup[/tex] Q) = P(P) + P(Q)
P(I [tex]\cup[/tex] B) = P(I) + P(B) = 0.26 + 0.42 = 0.68
b) Probability of failing to hit the target:
P(F) = 1 - (P(B)+P(I)+P(O))
P(F) = 1 - (0.26 + 0.42 + 0.24)) = 1 - 0.92 = 0.08
c) Probability of failing to score a bulls eye:
P(B)' = 1 - P(B) = 1 - 0.26 = 0.74
So, the answers are:
a) 0.68
b) 0.08
c) 0.74
A particle is moving along a projectile path at an initial height of 96 feet with an initial speed of 16 feet per second. This can be represented by the function H(t) = −16t2 + 16t + 96. What is the maximum height of the particle?
Answer:
The maximum height the projectile reaches is 100 feet
Step-by-step explanation:
Notice that the given equation representing the height of the projectile is a quadratic equation which negative leading coefficient (-16). Such type of equations would have a parabola that branches downwards as its graph.
therefore, what we need to find is the coordinates of the top vertex of that parabola. We can use for such the typical formula for the x-position of the vertex of a parabola with standard equation:
[tex]f(x)=ax^2+bx+c[/tex]
with x-position of the vertex given by:
[tex]x_v=\frac{-b}{2a}[/tex]
Then in our case ([tex]H(t)=-16t^2+16t+96[/tex]) we have:
Horizontal position of the vertex given by:
[tex]t_{vertex}=\frac{-16}{2(-16)} =\frac{1}{2}[/tex]
and now we can find the maximum height plugging this value into the height expression:
[tex]H(t)=-16(\frac{1}{2}) ^2+16\,(\frac{1}{2})+96=-4+8+96=100\,\,ft[/tex]
Emily got a new job that guarantees her a 8% raise every year. If she started out making $25,000, how long will it be before she doubles her current salary?
Answer: 12 1/2 years
Step-by-step explanation:
If the salary doubling in currency, it would need a 100% raise. Simply divide 100% by 8% to get the number of years needed.
100 / 8 = 12.5 or 12 1/2
8% of 25,000 = 2,000
25,000 / 2,000 = 12.5 or 12 1/2
Rectangle ABCD was dilated to create rectangle A'B'C'D. Triangle A B C D is dilated to form triangle A prime B prime C prime D. Side B C is 3.8 units. Side A prime B prime is 15 units and side B prime C prime is 9.5 units. What is AB?
Answer:
AB=6 Units
Step-by-step explanation:
Given the following lengths of rectangle ABCD and its dilation A'B'C'D' respectively
A'B' = 15 UnitsB'C' = 9.5 UnitsBC = 3.8 unitsWe are to determine the length of AB. To do this, we first determine the dilation factor.
[tex]D$ilation Factor =\dfrac{B'C'}{BC} =\dfrac{9.5}{3.8} =2.5[/tex]
Therefore:
[tex]\dfrac{A'B'}{AB} =2.5\\\\\dfrac{15}{AB} =2.5\\$Cross multiply \\ 2.5 AB =15 \\AB=15 \div 2.5\\$Therefore, AB=6 Units[/tex]
Answer:
6 units
Step-by-step explanation:
edge 2022
The water from a fire hose follows a path described by y equals 2.0 plus 0.9 x minus 0.10 x squared (units are in meters). If v Subscript x is constant at 10.0 m/s, find the resultant velocity at the point left parenthesis 9.0 comma 2.0 right parenthesis .
Answer:
The resultant velocity is 12.21 m/s.
Step-by-step explanation:
We are given that the water from a fire hose follows a path described by y equals 2.0 plus 0.9 x minus 0.10 x squared (units are in meters).
Also, v Subscript x is constant at 10.0 m/s.
The water from a fire hose follows a path described by the following equation below;
[tex]y=2.0 + 0.9x-0.10x^{2}[/tex]
The velocity of the [tex]x[/tex] component is constant at = [tex]v_x=10.0 \text{ m/s}[/tex]
and the point at which resultant velocity has to be calculated is (9.0,2.0).
Let the velocity of x and y component be represented as;
[tex]v_x=\frac{dx}{dt} \text{ and } v_y=\frac{dy}{dt}[/tex]
Now, differentiating the above equation with respect to t, we get;
[tex]y=2.0 + 0.9x-0.10x^{2}[/tex]
[tex]\frac{dy}{dt} =0 + 0.9\frac{dx}{dt} -(0.10\times 2)\frac{dx}{dt}[/tex]
[tex]\frac{dy}{dt} = 0.9\frac{dx}{dt} -0.2\frac{dx}{dt}[/tex]
[tex]v_y = 0.9v_x -0.2v_x[/tex]
[tex]v_y = 0.7v_x[/tex]
Now, putting [tex]v_x=10.0 \text{ m/s}[/tex] in the above equation;
[tex]v_y = 0.7 \times 10.0[/tex] = 7 m/s
Now, the resultant velocity is given by = [tex]v=\sqrt{v_x^{2}+v_y^{2} }[/tex]
[tex]v=\sqrt{10^{2}+7^{2} }[/tex]
= [tex]\sqrt{149}[/tex] = 12.21 m/s
Raina runs each lap in 7 minutes. She will run more than 63 minutes today. What are the possible numbers of laps she will run today? Use n for the number of laps she will run today. Write your answer as an inequality solved for n.
Answer:
n >or= 9
n greater than or equal to 9
Step-by-step explanation:
Raina runs each lap for 7 minutes
Each lap=7 minutes
She will run more than 63 minutes today
n laps=63minutes(at least)
n =63/7
n =9(at least)
n >or= 9
n greater than or equal to 9
It means Raina will run at least 9 laps or more today
A basketball team wants to paint half of a free-throw circle grey. If the circumference of the free-throw circle is 30.77 feet, what is the area that will be painted grey? Use 3.14 for π, and round to the nearest square foot
Answer:
37.7 ft²
Step-by-step explanation:
2×3.14×r=30.77
Divide both sides by 2
3.14×r=15.385
Divide both sides by 3.14
r≈4.9
3.14×r²
3.14×4.9²=
24.01×3.14≈
75.4
75.4÷2=
37.7
plz help iam new i rlly need help
[tex]42 \times 48=2016[/tex]
[tex]24 \times 84 = 2016[/tex]
The answer is 42 × 48 because even when we switch the digits, the product remains the same.
The congruence theorem that can be used to prove △LON ≅ △LMN is SSS. ASA. SAS. HL.
Answer:
The correct option is SSS (Side-Side-Side) Theorem
Step-by-step explanation:
The question is incomplete because the diagrams of ΔLON and ΔLMN are not given. I have attached the diagram of both triangles below for better understanding of the question.
Consider the diagram attached below. We have to find the congruence theorem which can be used to prove that ΔLON ≅ ΔLMN
We can see in the diagram that both triangle have a common side that is LN. It means 1 side of both triangles is congruent because LN≅LN
Consider the sides ON and MN. Both side have a single bar on them, which means that it is given that both of these side are congruent. Hence ON≅MN
Consider the sides LO and LM. Both side have a double bars on them, which means that it is given that both of these side are also congruent. Hence LO≅LM
SSS theorem states that if all sides of the triangles are congruent, then the triangles themselves are also congruent, which is the same case in this question
Answer:
D. SSS
Step-by-step explanation:
I hope this helps.
x - 25x = alegbra question
Answer:
-24x
Step-by-step explanation:
=> x-25x
Taking x common
=> x(1-25)
=> x(-24)
=> -24x
Answer:
=−24x
Step-by-step explanation:
=x+−25x
=(x+−25x)
=−24x
-92.67
-6/7
45/9
45
14/2
which of these are integers?
Answer:
Step-by-step explanation:
The integer is 45, since integers are only whole numbers and they're negative counterparts, so even if the fraction or decimal is negative, it is not an integer because it's not a whole number. Hope that helps!
Answer:
[tex]45/9\\45\\14/2[/tex]
Step-by-step explanation:
An integer is a number that can be written without a fractional component.
[tex]-92.67=-278/3[/tex]
[tex]-6/7=-6/7[/tex]
[tex]45/9=5[/tex]
[tex]45=45[/tex]
[tex]14/2=7[/tex]
what is the value of n?
Answer:
abboga booga
Step-by-step explanation:
Answer:
n=3
Step-by-step explanation:
if we raise both sides to the power n we get
[tex]54x^{7}y^{3} = 3^{n}x^{2n}y^{n}*2x[/tex]
so as you see [tex]y^{3} =y^{n}[/tex] so n=3
work out the volume of a hemisphere. please help i’ll give u brainliest if u help
Answer:
V = 1072.3 cm³
Step-by-step explanation:
Volume of a hemisphere = [tex]\frac{2}{3} \pi r^3[/tex] [Because it's half of a sphere's volume]
V = [tex]\frac{2}{3} (3.14)(8)^3[/tex]
V = [tex]\frac{2}{3} (3.14)(512)[/tex]
V = [tex]\frac{3216.99}{3}[/tex]
V = 1072.3 cm³
HELP! 7th grade math! GIVE CORRECT ANSWER AND YOU WILL GET BRAINLIEST!!
Answer:
The lines are parallel
Step-by-step explanation:
x - y = 2
Solving for y
-y = -x+2
y = x -2
And the other equation is
y = x+1
These are both in slope intercept form
We notice that the slopes are both 1, but the y intercepts are different
That means the lines are parallel, but have different y intercepts