Answers
Answer:
5(6x+3y) is equalivent to 30x+15y
Answer:
30x+15y
Step-by-step explanation:
distributive property
Related Questions
Geometry
A.)10 units
B.)17 units
C.)14 units
D.)7 units
Answers
Answer:
14 units
Step-by-step explanation:
All we have to pay attention to in this problem is B, so we can ignore the rest of the triangle. B is 5 units directly to the left of line l, meaning that B' must be 5 units to the right of line l. This would put B' 2 units to the left of line m. That means that B" would be 2 unit to the right of line m, as that is how reflections work. Adding up all of the difference in units you have a 10 unit shift from B to B', and then a 4 unit shift from B' to B". Now adding 4+10=14 units.
Given that ƒ(x) = 4x + 5 and g(x) = x2 – 2x – 2, find (ƒ + g)(x).
Answers
Answer:
x² + 2x + 3
Step-by-step explanation:
(f + g)(x) = f(x) + g(x), thus
f(x) + g(x)
= 4x + 5 + x² - 2x - 2 ← collect like terms
= x² + 2x + 3
which point is a solution to the inequality shown in this graph? A. (0,-5) B. (-3,0) C. (0,0) D. (5,-5)
Answers
Point (-3, 0) is required solution to the inequality. Hence option B. is correct.
What is inequality?Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation.
As from graph,
The inequality can be define as -[tex]y > \frac{4}{3}x+4[/tex]
And the point(-3, 0) lies on the boundary line.
Which gives the solution to the given inequality.
Thus, point (-3, 0) is required solution to the inequality.
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A bus needs to cover a distance of 240 km in less than 5 hours. Which of the following inequality represents the speed (s) of the bus?.
Answers
Answer:
Step-by-step explanation:
Let s represent the speed of the bus.
From the information given, the bus needs to cover a distance of 240 km in less than 5 hours. The formula for calculating the speed of the bus, s is expressed as
Speed, s = distance covered by the bus/ time taken to cover the distance
Therefore,
Speed, s = 240/5 = 48 km/hr
A higher speed would ensure the bus covers the distance in less than 5 hours. Therefore, the inequality that represents the speed (s) of the bus would be
s ≥ 48
The probability that you roll a two on a six-sided die is 16. If you roll the die 60 times, how many twos can you expect to roll?
Answers
Explanation:
If you roll one time the probability is 16
Then if you roll 60 times the probability is:
16 x 60 = 960
If you roll the die once the probability it 16. But if you were to roll it 60 times the math you would have to do would be: 60*16=960. Simpler than you may think.
Hope this helps!!
Kite E F G H is inscribed within a rectangle. Points F and H are midpoints of the sides of the rectangle. Points E and G are parallel to the side of the rectangle.
Kite EFGH is inscribed in a rectangle such that F and H are midpoints and EG is parallel to the side of the rectangle.
Which statement describes how the location of segment EG affects the area of EFGH?
The area of EFGH is One-fourth of the area of the rectangle if E and G are not midpoints.
The area of EFGH is One-half of the area of the rectangle only if E and G are midpoints.
The area of EFGH is always One-half of the area of the rectangle.
The area of EFGH is always One-fourth of the area of the rectangle.
Answers
Answer:
The area of EFGH is always One-half of the area of the rectangle.Step-by-step explanation:
If F and H are midpoints of sides of rectangle then FH is parallel to the other side of rectangle so FH is perpendicular to the EG. That means the lenght of FH is equal to lenght of rectangle, and the lenght of EG is equal to width of rectangle.
So the area of the rectangle: [tex]A_{rectangle}=EG\cdot FH[/tex]
FH ⊥ EG so the area of quadrangle EFGH:
[tex]A_{_{EFGH}}=\frac12EG\cdot FH=\frac12A_{rectangle}[/tex]
no matter the location of segment EG
The area of EFGH is always One-half of the area of the rectangle.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have given that;
the kite EFGH is inscribed in a triangle and F and H are midpoints and EG is parallel to the side of rectangle.
The kite consists of 2 triangle that are EFG and EHG.
Now,
In a triangle EFG is,
= 1/2 x EG x h......(1)
where h is the height from F to EG
Also the area of EHG:
= 1/2 x EG x h₁
where is the height from H to EG
We also know that h₁ + h is the width of the rectangle and EG is the length of the rectangles.
Area of Kite = = 1/2 x EG x h + 1/2 x EG x h₁
Also, The area of a rectangle is rectangle length × rectangle width.
Thus, The Kite EFGH is inscribed in a rectangle such that F and H are midpoints and EG is parallel to the side of the rectangle.
Hence, The statement describes how the location of segment EG affects the area of EFGH is the area of EFGH is always One-half of the area of the rectangle.
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1/8+c=4/5 what is c? please answer urgent!!!
Answers
Answer:
Step-by-step explanation:
1/8 + c = 4/5
c = 4/5 - 1/8
c = 4/5 × 8/8 - 1/8 × 5/5
= 32+5 / 40
= 37/40
Hope this helps
plz mark as brainliest!!!!!!
Which statement could the expression n + 1 represent? one point greater than the last test grade the difference of Gina's score and one the total cost less one dollar one minute less than Mickey's previous time
Answers
Answer:
A. One point greater than the last test grade.
Step-by-step explanation:
One point greater than the last test grade can be written as an expression:n + 1
The difference of Gina’s score and one can be written as an expression:
n - 1
The total cost less one dollar can be written as an expression: n - 1
One minute less than Mickey’s previous time can be written as an expression: n - 1
Answer:
Step-by-step explanation:
its A
A teacher covered the exterior of a rectangular prism-shaped box that measured 8 inches by 9 inches by 10 inches using one sheet of rectangular-shaped wrapping paper that measured 2 feet by 3 feet. There were no gaps or overlapping paper. How many square inches of wrapping paper were left over? Choose an answer
Answers
Answer:
380 square inches
Step-by-step explanation:
We are given the measurements of the Rectangular Prism as
8 inches by 9 inches by 10 inches
Where based on the order of arrangement:
8 inches = Length
9 inches= Width
10 inches = Height
Step 1
Find the amount of wrapping paper needed
Perimeter = 2L + 2W
= 2 × 8 + 2 ×9
= 16 + 18
= 34 inches
Base = L × W
= 8 × 9
= 72 inches
Surface Area of the Rectangular Prism =PH + 2B
Where P = Perimeter
H = Height
B = Base
= 34 × 10 + 2× 72
= 340 + 144
= 484 square inches
The area of the Rectangular prism = 484 square inches
Step 2
So we were told that she used wrapping paper the measured 2 feet by 3 feet.
We would convert the values in feet to inches
1 ft = 12 inches
Length = 2 ft = 2 × 12 = 24 inches
Width = 3 ft = 3 × 12 = 36 inches
We find the area of the wrapping paper
Length × Width = 24inches × 36 inches = 864 square inches.
Step 3
The amount of square inches of wrapping paper left over is calculated as:
Area of the wrapping paper used - Area of the Rectangular prism
= 864 square inches - 484 square inches
= 380 square inches.
Therefore, the amount of square inches of wrapping paper left over is 380 square inches.
When multiplying or dividing integers, if the signs are the same, you keep the sign for the answer
False
True
Answers
Answer:
False
Step-by-step explanation:
If you were to divide a negative number by a negative number, or multiply a negative number by a negative number, you would change the sign to positive as two negatives make a positive.
Answer:
False
Step-by-step explanation:
if you multiply two negative integers, you will get a positive result
For example
(-1) x (-2) = 2 (the sign of the answer is different from the sign of the two negative integers that we multiplied)
answer me step by step
if don't I will report you
Answers
Explain
Area of 4 congruent parallelograms= 308cm^2
Area of 1 parallelogram = 308/ 4
Area of 1 parallelogram = 77 cm ^2
h+h= 14
As h+h=2h
2h=14
Divide both side by by 2
H= 7
Solve for b
As b+b = 2b
2b+6=y
Subtract both side by 6
2b+6-6=y-6
Combining numbers
2b=y-6
Divide both side by 2
2b/2 = y-6/2
Cancel 2
B= y-6/2
We have of 1 parallelogram = 77 cm^2
H= 7
B= y-6/2
Parallelogram area = bh
So now parallelogram area = y-6/2 x7
And area of 1 parallelogram = 77 cm^2
Y-6/ 2 x 7 = 77
Y-6/2 x 7= 7(11)
Cancel 7
Y-6/2 = 11
Multiple both by 2
2(y-6/ 2) = 11x2
Cancel 2 and multiple numbers
Y-6=22
Add 6 both sides
Y-6+6=22+6
Y=28
Gravel is being dumped from a conveyor belt at a rate of 20 ft3 /min and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 15 ft high
Answers
Answer:
The height of the pile is increasing at the rate of [tex]\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}[/tex]
Step-by-step explanation:
Given that :
Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min
i.e [tex]\dfrac{dV}{dt}= 20 \ ft^3/min[/tex]
we know that radius r is always twice the diameter d
i.e d = 2r
Given that :
the shape of a cone whose base diameter and height are always equal.
then d = h = 2r
h = 2r
r = h/2
The volume of a cone can be given by the formula:
[tex]V = \dfrac{\pi r^2 h}{3}[/tex]
[tex]V = \dfrac{\pi (h/2)^2 h}{3}[/tex]
[tex]V = \dfrac{1}{12} \pi h^3[/tex]
[tex]V = \dfrac{ \pi h^3}{12}[/tex]
Taking the differentiation of volume V with respect to time t; we have:
[tex]\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}[/tex]
[tex]\dfrac{dV}{dt }= (\dfrac{\pi h^2}{4} ) \times \dfrac{dh}{dt}[/tex]
we know that:
[tex]\dfrac{dV}{dt}= 20 \ ft^3/min[/tex]
So;we have:
[tex]20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}[/tex]
[tex]20= 56.25 \pi \times \dfrac{dh}{dt}[/tex]
[tex]\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}[/tex]
The height of the pile is increasing at the rate of [tex]\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}[/tex]
Please answer it now in two minutes
Answers
Answer:
8sqrt(3)
Step-by-step explanation:
30-60-90 truangle ratio of lengths of sides:
1 : sqrt(3) : 2
24/d = sqrt(3)/1
d * sqrt(3) = 24
d = 24/sqrt(3)
d = 24/sqrt(3) * sqrt(3)/sqrt(3)
d = 24sqrt(3)/3
d =
what is the explicit formula for this sequence -1,4,-16,64
Answers
Answer:
The answer is c.
Step-by-step explanation:
[tex]a_{1} =-1*(-4)x^{n-1}[/tex]
[tex]a_{1} =-1(-4)^{1-1}[/tex]
[tex]a_{1} =-1(-4)^{2} \\a_{1} =-1(1)\\a_{1} =-1[/tex][tex]a_{2} =-1(-4)^{2-1} \\a_{2} =-1(-4)^{1} \\a_{2} =-1(-4)\\a_{2}=4[/tex][tex]a_{3}=-1(-4)^{3-1} \\a_{3}=-1(-4)^{2} \\a_{3}=-1(16)\\a_{3}=-16[/tex]
For a trapezoid, the midsegment is one-half of...
a) the opposing leg
b) the square of the largest leg
c) the same as the smallest leg.
d)the sum of the bases
Answers
Answer:
D
Step-by-step explanation:
Mathematically, the mid segment of a trapezoid is exactly the average of the 2 parallel bases
What this means is that to find the length of the trapezoid, we will need to find the average of the two parallel bases
Mathematically, this is same as adding the two bases and dividing the result by 2.
Hence we can say it is exactly one-half the length of the sum of the two parallel bases
Which graph represents this system? y = one-half x + 3. y = three-halves x minus 1 On a coordinate plane, a line goes through (0, 3) and (4, 5) and another goes through (0, negative 1) and (2, 2). On a coordinate plane, a line goes through (0, 3) and (1, negative 3) and another goes through (0, negative 1) and (3, 1). On a coordinate plane, a line goes through (negative 1, negative 2) and (1, 4) and another goes through (0, 1.5) and (1.5, 0). On a coordinate plane, a line goes through (negative 3, negative 3) and (0, 3) and another goes through (0, negative 1) and (3, 1).
Answers
Answer:
it is A or the first one
Step-by-step explanation:
The graph represents the system y = 1/2x + 3 and y = 3/2x - 1 is the lines and passes by (0, 3) and (4, 5), Option A.
Two equation of lines is given y = 1/2x + 3 and y = 3/2x - 1.
A graph to be identified showing the coordinate.
A line can be defined by a shortest distance between two points is called as a line.
Here, slope of equations of lines y = 1/2x + 3 and y = 3/2x - 1 are 1/2 and 3/2 and intercept is 3 and -1 now matching this with option we identified option A contains both the lines and passes by (0, 3) and (4, 5).
Thus, The graph represents the system y = 1/2x + 3 and y = 3/2x - 1 is the lines and passes by (0, 3) and (4, 5) ,Option A.
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PLEASE HELP ASAP THIS IS TIMED. If f(x) = –x2 + 3x + 5 and g(x) = x2 + 2x, which graph shows the graph of (f + g)(x)? On a coordinate plane, a straight line with a negative slope crosses the y-axis at (0, 5) and crosses the x-axis at (1, 0). On a coordinate plane, a parabola opens down. It goes through (negative 2, negative 4), has a vertex at (0, 5), and goes through (2, negative 2) On a coordinate plane, a parabola opens up. It goes through (negative 3, 7), has a vertex at (negative 1, 2), and goes through (0, 5). On a coordinate plane, a straight line with a positive slope crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 5)
Answers
Answer:
4th Graph
Step-by-step explanation:
Step 1: Find (f + g)(x)
-x² + 3x + 5 + x² + 2x
3x + 5 + 2x
5x + 5
Step 2: Graph
Answer:
option d on edge trash
Step-by-step explanation:
Determine the slope of the line that contains the points of (-9,5) and (6,-5)
Answers
Answer:
[tex]\bold{m=-\dfrac23}[/tex]
Step-by-step explanation:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-9,\,5)\ \implies\ x_1=-9\,,\ y_1=5\\(6,\,-5)\ \implies\ x_2=6\,,\ y_2=-5\\\\m=\dfrac{-5-5}{6-(-9)}=\dfrac{-10}{6+9}=-\dfrac{10}{15}=-\dfrac23[/tex]
Tico’s Taco Truck is trying to determine the best price at which to sell tacos, the only item on the menu, to maximize profits. The taco truck’s owner decides to adjust the price per taco and record data on the number of tacos sold each day with each new price. When the taco truck charges $4 for a taco, it sells an average of 60 tacos in one day. With every $1 increase in the price of a taco, the number of tacos sold per day decreases by 7. The owner can calculate the daily revenue using the polynomial expression -7x2 + 32x + 240, where x is the number of $1 increases in the taco price. In this activity, you’ll interpret and manipulate this expression and the scenario it represents. Part D: What are some advantages of writing the polynomial expression -7x2 + 32x + 240 in factored form when interpreting this situation?
Answers
Answer:
The constant term is 240. It represents the initial daily revenue.
Step-by-step explanation:
It is given that Tico's Taco Truck is trying to determine the best price at which to sell tacos, the only item on the menu, to maximize profits.
The owner can calculate the daily revenue using the polynomial expression
where x is the number of $1 increases in the taco price.
Constant term does not contain any variable.
In the given expression 240 is free from variable x. So, the constant term is 240.
The value of expression is 240 for x=0. Since x is the number of $1 increases in the taco price, therefore 240 is the daily revenue when the taco price is not increased or the taco price increased by 0.
Therefore the constant term is 240 and it represents the initial daily revenue.
A magician asks two volunteers to each draw a card from a standard deck of cards. What is the probability that the first card is a heart and the second card is a dimand?
Answers
Answer:
The probability of choosing a heart, P(Heart) = 13/52 = 0.25
Step-by-step explanation:
the denominator of a fraction is 2 more than its numerator.when both the numerator and the denominator are increased by 3,the fraction is increased by 3/20.Find the original fraction given that both the numerator and denominator are positive integers
Answers
Answer: 3/5
Step-by-step explanation:
[tex]\dfrac{a}{a+2}+\dfrac{3}{20}=\dfrac{a+3}{(a+2)+3}\\\\\\\dfrac{a}{a+2}\bigg(\dfrac{20}{20}\bigg)+\dfrac{3}{20}\bigg(\dfrac{a+2}{a+2}\bigg)=\dfrac{a+3}{a+5}\\\\\\\dfrac{23a+6}{20(a+2)}=\dfrac{a+3}{a+5}\\\\\\(23a+6)(a+5)=20(a+2)(a+3)\\\\\\23a^2+121a+30=20a^2+100a+120\\\\\\3a^2+21a-90=0\\\\\\a^2+7a-30=0\\\\\\(a+10)(a-3)=0\\\\\\a=-10\quad a=3[/tex]
Since "a" is a positive integer, disregard a = -10
So the only valid answer is a=3 → a+2=5
[tex]\dfrac{a}{a+2}=\large\boxed{\dfrac{3}{5}}[/tex]
Figure ABCD is a rectangle find the value of x
Answers
Answer:
8
Step-by-step explanation:
BD is 32 units.
BE is half of BD
3x - 8 = 32/2
3x - 8 = 16
3x = 16 + 8
3x = 24
3/3x = 24/3
x = 8
Answer:
8Solution,
Diagonals of rectangle bisects each other.so,
2 BE = BD
2( 3x - 8 ) = 32
6x - 16 = 32
Add 16 on both sides
6x - 16 + 16 = 32 + 16
Simplify
6x = 48
divide both sides of equation by 6
6x/6 = 48/6
calculate
X = 8
Hope this helps...
Good luck on your assignment..
Find the measure of angle C of a triangle ABC, if m∠A = α, m∠B = 2α
Answers
Answer:
The measure of angle C is 180 - 3α
Step-by-step explanation:
Given;
triangle ABC, ΔABC
angle A, ∠A = α
angle B, ∠B = 2α
To calculate angle C, we must recall that, the sum of angles in a triangle is equal to 180°. Angle A, angle B, and angle C make up the total angle in the triangle.
∠A + ∠B + ∠C = 180
where
∠C is angle C
α + 2α + ∠C = 180
3α + ∠C = 180
∠C = 180 - 3α
∠C = 3(60 - α)
Therefore, the measure of angle C is 180 - 3α
Answer:
180°-3a
Step-by-step explanation:
YOU HAVE TO INSERT DEGREES SYMBOL
An insurance company models the number of warranty claims in a week on a particular product that has a Poisson distribution with mean 4. Each warranty claim results in a payment of 1 by the insurer. Calculate the expected total payment by the insurer on the warranty claims in a week.
Answers
Answer:
4 monetary units
Step-by-step explanation:
In a Poisson distribution, the expected value of the distribution is the same as the mean:
[tex]E(X)=\mu=4\ claims[/tex]
The expected number of warranty claims is 4.
Since each claim results in a payment of 1, the expected value paid by the insurer is:
[tex]E(V)=E(X)*V(X)\\E(V)=4*1 = 4[/tex]
The expected total payment on warranty claims is 4 monetary units.
Which composition of transformations will create a pair of similar, not congruent triangles?
a rotation, then a reflection
a translation, then a rotation
a reflection, then a translation
a rotation, then a dilation
Answers
Based on the information given, the composition of transformations that will bring about a pair of similar, not congruent triangles is D. a rotation, then a dilation.
What is a congruent triangle?A congruent triangle simply means when two triangles have exactly the same side and angles.
Therefore, the composition of transformations that will bring about a pair of similar, not congruent triangles is a rotation, then a dilation.
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ASAP What is a downside of receiving a tax refund?
Answers
Answer:
You've given Uncle Sam an interest-free loan of your money for a full year. ... If you had received your expected refund incrementally as part of your pay, you could have used it to pay bills, start an emergency fund or save for something special.You are at the mercy of the IRS, which already is at the mercy of a frequently late-acting Congress when it comes to tax laws. If Congress and the IRS are slow, then so is your receipt of your refund.
I need help on this please
Answers
Answer:
[tex]y=\frac{5}{6}x+5[/tex]
Step-by-step explanation:
Well this is actually really simple we just have to look at the line and see what attributes it has so we can make an equation.
So slope intercept form is [tex]y=mx+b[/tex].
Like to find the y intercept we know it is the point that the line touches the y axis which is 5.
Now for the slope, the slope is how far each points are from each other on a line so to find the slope we can use the following formula [tex]\frac{y^2-y^1}{x^2-x^1}[/tex].
So to do this we need two points that are on the line we can use (-6,0) and (6,10).
So y2 is 10 and y1 is 0 so 10-0 is 10 and 6 - -6 is 12 so the slope is 10/12 and we have to simplify it to 5/6 so the slope is 5/6 and now we have to put it in slope intercept -> [tex]y=\frac{5}{6}x+5[/tex]
the picture is the qestion
Answers
Answer:
The answer is option D.
Step-by-step explanation:
Because -3/-5 = 3/5 since the negative sign cancel each other.
Hope this helps you
Answer:
The fourth option
Step-by-step explanation:
-3/5 is the same as - 3/5 or 3/-5 (it doesn't matter where the negative sign goes-on the side, numerator, or denominator)
-(-3/-5) is basically negative of -3/-5
-3/-5 is the not the same as -3/5
How many positive integers of 3 digits each can be formed with the digits 1, 8, 9, 2, 7, 6, 4, and 3, if no digit is repeated in a number? 1. 27 2. 512 3. 336
Answers
Answer:
3. [tex]336[/tex]
Step-by-step explanation:
To do this, we will use a premutation. Each number represents the possible choices per digit, respectively.
So, our product will be 8 (total choices) times 7 (total choices not including the already chosen one) times 6 (same story as previous). Multiplying this out will give us 336.
So, the answer is number 3.
Answer:
C. 336
Step-by-step explanation:
Estimate $10.01 + $7.07 using front-end estimation.
Answers
Answer:
17
Step-by-step explanation:
You would make the 10.01 a 10 and the 7.07 a 7.