Answer:
B)
Step-by-step explanation:
6 + 4*5 = 6 + 20
= 26
According to BODMAS, multiplication should be done and then addition
Answer:
B
Step-by-step explanation:
By pemdas - multiplication first
6+4x5
6+(20)
so, b - 6 + 20 is the answer
What are the first three terms of the Arithmetic Sequence a_n = 15 – 2(n – 1)?
Twelve less than the product of three and a number is less than 21.
the answer is 11
11x3= 33
33-12=21
Given that g(4)=9 and g(-11)=k, find the value of k that would result in a slope of 5 between the two points.
Answer:
[tex]k=-66[/tex]
Step-by-step explanation:
So we are given two values:
[tex]g(4)=9 \text{ and } g(-11)=k[/tex]
They can be interpreted as: (4,9) and (-11,k).
So, we want to find the value of k such that the slope of the line between the two points would be 5.
Recall the slope formula. It is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (4,9) be x₁ and y₁ and let (-11,k) be x₂ and y₂. Substitute 5 for m. Therefore:
[tex]5=\frac{k-9}{-11-4}[/tex]
Simplify the denominator:
[tex]5=\frac{k-9}{-15}[/tex]
Multiply both sides by -15. The right side cancels:
[tex]-15(5)=(-15)\frac{k-9}{-15}\\ -75=k-9[/tex]
Now, add 9 to both sides. The right side cancels.
[tex](-75)+9=(k-9)+9\\k=-66[/tex]
Therefore, k is -66.
On a highway a wreck occurred and caused an 8 mile traffic jam on one side of the road. The average car is 14.5 feet in length, the average truck is 21 feet in length, and the average 18 wheeler tractor trailer is 73 feet in length. 70% of the traffic jam consists of cars, 20% trucks, and 10% 18 wheeler tractor trailers. If the average distance between vehicles is 4 feet, how many vehicles are stuck in the traffic jam?
Answer:
1647
Step-by-step explanation:
Given the following information:
Length of traffic = 8 miles
Average Length of vehicles on the road :
Cars = 14.5 feets
Trucks = 21 feets
18 Wheeler tractor = 73 Feets
% distribution of the different vehicles :
Cars = 70% = 0.7
Trucks = 20% = 0.2
18 wheeler tractor = 10% = 0.1
Distance between vehicles = 4feets
Number of vehicles stuck in the traffic :
Let number of vehicles = v
Summation of (number of vehicles * length of each vehicle) + distance between each vehicle = Length of traffic
Total distance between each vehicle = 4(v-1)
(0.7v * 14.5) + (0.2v * 21) + (0.1v * 73) + 4(v - 1) = 8 miles
1 mile = 5280
8 miles = (5280 * 8) = 42,240
10.15v + 4.2v + 7.3v + 4v - 4 = 42240
25.65v = 42240 + 4
25.65v = 42244
v =42244 / 25.65
v = 1646.939
v = 1647.
Help!!!!!!!!!!!!!!!!!!!!
======================================================
Explanation:
Solve each inequality for x
[tex]5x \ge 20[/tex] solves to [tex]x \ge 4[/tex] after dividing both sides by 5
[tex]x+14 < 16[/tex] solves to [tex]x < 2[/tex] after subtracting 14 from both sides
The original system solves to [tex]x \ge 4 \ \text{ or } \ x < 2[/tex] which is the same as [tex]x < 2 \ \text{ or } \ x \ge 4[/tex]
So x is either less than 2, equal to 4, or larger than 4.
The graph that fits the description above is Choice B. We have an open hole at x = 2 to show we don't include this value. In contrast, there's a filled in hole or closed circle at x = 4 to include this value. The blue shaded region is the set of all possible x values, so we shade to the left of x = 2 and to the right of x = 4.
----------------------
Side note: I don't know why your teacher thought it was a good idea to make the answer choice tiles be larger than the actual problem itself. It should be the other way around. Though to be fair, it's probably a design choice that your teacher wasn't involved in.
A group of friends are playing a board game. As part of the game, each player is given the same number of cards. There are 6 players and 58 cards. How many cards will each player get if each player gets the same number of cards?
Answer: Each player will get 9 cards
Step-by-step explanation:
Given, there are 6 players and 58 cards.
i.e. Total players = 6 and total cards = 58
If each player is given the same number of cards, then by the division operation the number of cards each player will get = ( total cards) ÷ ( total players)
[tex]=58\div6[/tex]
[tex]=9\dfrac{2}{6}[/tex]
Hence, each player will get 9 cards ( 2cards will be left).
What value should go in the empty box to complete the calculation for finding the product of 62.834 × 0.45? A)2,213,360 B)2,313,360 C)2,413,360 D)2,513,360
Answer:
28.27530
Step-by-step explanation:
Given the expression 62.834 × 0.45, to solve this expression, first we need to convert it to fraction
62.834 = 62834/1000
0.45 = 45/100
Take the product if the resulting fraction:
62.834 × 0.45 = 62834/1000 × 45/100
= (62834×45)/1000×100
= 2,827,530/100,000
= 28.27530
Answer:28.27530
Step-by-step explanation:Given the expression 62.834 × 0.45, to solve this expression, first we need to convert it to fraction
62.834 = 62834/1000
0.45 = 45/100
Take the product if the resulting fraction:
62.834 × 0.45 = 62834/1000 × 45/100
= (62834×45)/1000×100
= 2,827,530/100,000
= 28.27530
When constructing the bisector of a line segment, you are also constructing the
perpendicular bisector of a line segment. true or false Explain your reasoning.
Answer:
True
This is so because the line is drawn from points on both sides of the line to be bisected, which are equidistant from the ends and the center of the line to be bisected line giving an angle of 90° at the intersection of both lines.
Step-by-step explanation:
The steps for constructing the bisector of a line segment includes the following
1) The compass is placed at one end of the line segment
2) The width of the compass is adjusted so as to be wider than half the length of the line segment
3) Arcs are now to be drawn above and below the line segment to be bisected
4) From the other end of the line to be bisected with the same compass width, draw arcs above and below the line segment to be bisected to intersect the previous arcs drawn above
5) With a straight edge draw a line through the intersection of the arcs to draw the bisector
The line so drawn is the perpendicular bisector because it is drawn from points on both sides of the bisected line equidistant from the ends and the center of the bisected line.
In a survey of 120 adult , 88 drink cold drink and 26 drink soft drink. If 17 of them drink neither of them, findout the number of adults who drink both soft and cold drink by
using venndiagram.
Answer:
11 people is correct
Step-by-step explanation:
1) Maya needs 54 cubic feet of soil for her garden. She already has 4.5 cubic feet of
soil. Each bag contains 1.5 cubic feet of soil. How many bags of soil should Maya
purchase?
1) 36
2) 12
3)33
4)9
Answer:
3) 33 bags
Step-by-step explanation:
she needs 54, but already has 4.5 cubic feet of soil, so really, Maya only needs 49.5 cubic feet of soil.
If each bag contains 1.5 cubic feet of soil, 49.5 feet needed /1.5 feet per bag = 33 bags.
write a verbal expression for 6m-2
Answer: The difference of 6 times a number m and 2
Step-by-step explanation:
The way to write this expression is:
The difference of 6 times a number m and 2.
Which relation is a function?
{(3, 2), (4, 5), (6, 8), (7,5)}
B. {(3, 2), (4, 5), (7,-3), (7, -2)}
C. {(1, 4), (2, 5), (4, 7), (1, 9)}
D. {(2, 3), (5, 4), (2, -3), (0, -1)}
Answer:
A {(3,2), (4,5), (6,8),(7,5)}
If y varies inversely as x, and y = 14 when x = 8, find y when x = 7.
Answer:
y = 16
Step-by-step explanation:
Given y varies inversely as x then the equation relating them is
y = [tex]\frac{k}{x}[/tex]
To find k use the condition y = 14 when x = 8, thus
14 = [tex]\frac{k}{8}[/tex] ( multiply both sides by 8 )
112 = k
y = [tex]\frac{112}{x}[/tex] ← equation of variation
When x = 7, then
y = [tex]\frac{112}{7}[/tex] = 16
how do transformations preserve distance and angle?
Answer:
When a transformation doesn't change the side lengths and angle measurements
of a shape, we call this preserving length and angle measurement. These are rigid
transformations . Translations, rotations, and reflections are all rigid
transformations .
Can someone please give me the answer?
================================================
Work Shown:
15n+30 = 75
15n+30-30 = 75-30 ... subtract 30 from both sides
15n = 45
15n/15 = 45/15 .... divide both sides by 15
n = 3
I need help with with pre calculus
Answer:
the last answer is correct
Step-by-step explanation:
(a, b) to (b, a)
Which of the following factored forms given below represent the correct factorization of the trinomial x^2 + 10x + 16
1. 2 (x + 4) (x + 2)
2. (2 + x ) ( 8 + x)
3. ( 4 + x ) ( 4 + x )
4. ( x - 2 ) ( x - 8 )
Answer:
2. (2 + x ) ( 8 + x)
Step-by-step explanation:
x^2 + 10x + 16
Factor
What two numbers multiply to 16 and add to 10
8*2 = 16
8+2 = 10
(x+8)(x+2)
What is the property for 16=16
Answer:
Reflexive property
Step-by-step explanation:
The property means that a real number is always equal to itself. For example, x=x. It works for all real numbers and is pretty simple. 3=3, 7.5=7.5 and etc
Find the difference between 976 and 1.235.
Answer:
-974.765
Step-by-step explanation:
1.235 -976. Try to get a calculator if that helps!:)
please help me on this
Answer:
14
Step-by-step explanation:
17 - 5 = 12 / 4 = 3
every 3 points is 1/4 of the way from X to Y
3 x 3 = 9/12 = 3/4 of the way
(starting point) + (3/4 of the way) = point
5 + 9 = 14
10y + 9x = -9
10y + 5x= -5
x=
y=
Answer: x=-1 and y=0 .
Step-by-step explanation:
The given linear equations:
[tex]10y + 9x = -9\ ...(i)\\\\10y + 5x= -5\ ...(ii)[/tex]
Subtract (ii) from (i) , we get
[tex]10y+9x-(10y+5x)=-9-(-5)\\\\\Rightarrow\ 10y+9x-10y-5x=-9+5\\\\\Rightarrow\ 4x=-4\\\\\Rightarrow\ x=-1[/tex]
Put value of x in (i), we get
[tex]10y+9(-1)=-9\\\\\Rightarrow\ 10y-9=-9\\\\\Rightarrow\ 10y=-9+9=0\\\\\Rightarrow\ y=0[/tex]
Hence, x=-1 and y=0 .
Deena took six final exams and received these scores:
65, 72, 79, 86, 93, 100.
Fill in the table, assuming the scores are given in the
same order she took the exams.
Replace a with
Replace b with
Replace c with
Replace d with
Answer:
a: 5
b: 79
c: 93
d: 100
Step-by-step explanation:
Answer:
The person above me is correct <3
Step-by-step explanation:
A chocolate shop sold 1 1/4 ounces of white chocolate. It sold 8 1/4 times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the shop sell?
Answer:
10.3125 (NOT ROUNDED)
Step-by-step explanation:
1. I changed it to decimals. 1/4 can easily be changed into a decimal.
2. I set 1/4 = x/100. Then cross multiplied. That would give you 4x = 100.
3. Now you would simplify that. x would be 25. So its 25/100 wich then turns to .25.
4. Now you are going to replace them so it would be 1.25 and 8.25.
5. To find out how much milk chocolate there was you would multiply 1.25 and 8.25.
6. That's your final answer
evaluate 4(x+5)(x+1) over (x+3)(x-3) for x=5
Answer:
The answer is 15
Step-by-step explanation:
[tex] \frac{4(x + 5)(x + 1)}{(x + 3)(x - 3)} [/tex]For x = 5 substitute the value of x that's 5 into the expression
We have
[tex] \frac{4(5 + 5)(5 + 1)}{(5 + 3)(5 - 3)} \\ = \frac{4(10)(6)}{8(2)} \\ = \frac{4(60)}{16} \\ \\ = \frac{240}{16} [/tex]We have the final answer as
15Hope this helps you
The density of a certain material is such that it weighs 46 grams for every 9 fluid ounces of volume. Express this density in ounces per liter. Round your answer to the nearest hundredth.
Answer:
The density of the material is approximately 6.79 ounces per litre
Step-by-step explanation:
We note that 1 fluid ounce = 26.5735 mililiter
The mass of the material for every 9 fluid ounces of volume = 46 grams
Therefore, the density of the material is given as follows;
Density = Mass/Volume = 46 grams/(9 × 26.5735 mililiter)
Density = 46 grams/(239.1615 mililiter)
1 gram = 0.035274 ounces
46 grams = 46 × 0.035274 ounces = 1.622602 ounces
1 mililiter = 0.001 litre
239.1615 mililiter = 0.2391615 litre
The density in ounces per liter is therefore;
Therefore;
The density of the material = 46 grams/(239.1615 mililiter) = 1.622602 ounces/0.2391615 litre
The density of the material ≈ 6.785 ounces/litre which is 6.79 ounces/litre to the nearest hundredth.
Answer: the correct answer is 6.10 ounces per liter
Step-by-step explanation:
create your own scenario for 14x+12y then suggest values for the variables and solve.
Answer:
For a bake sale, addison sells 14 cupcakes for 1.50 dollars each, charli sells 12 cupcakes for 2.00 dollars each. How much money did they make together?
14(1.50)+12(2.00)
21+24= 45
They make 45 dollars together
Step-by-step explanation:
Complete the division
The quotient is 3x2
+
IX +
DONE
1 of 10
Answer:
6
Step-by-step explanation:
Answer:
Complete the division.
The quotient is 3x2 +
-2
x +
5
.
Step-by-step explanation:
edg 2020
a rectangle parking lot has an area of 1775 square meters and a perimeter of 192 meters what is it dimension
Answer:
71 & 25 m
Step-by-step explanation:
a • b = 1775
2a + 2b = 192
substitution:
a = 1775/b
2(1775/b) + 2b = 192
distribute the 2
(3550/b) + 2b = 192
subtract 192 from both sides
(3550/b) + 2b - 192 = 0
transform the expression by dividing all terms by b
(3550 + 2b² - 192b) / b = 0
when the quotient of expressions equals 0, the numerator has to be 0
3550 + 2b² - 192b = 0
reorder the terms
2b² - 192 b + 3550 = 0
divide by sides by 2
b² - 96b + 1775 = 0
rewrite -96b as a difference using factoring X
b² - 25b - 71b + 1775 = 0
factor the expression (factor out b)
b (b-25) - 71b + 1775
factor out b - 25 from the expression
(b - 25) (b - 71) = 0
if b = 25 or 71, then a = 71 or 25
71 & 25 m
What is the equation of a line that passes through the point?
=====================================================
Explanation:
The given graph passes through (0,2) and (2,5)
The slope of this line is
m = (y2 - y1)/(x2 - x1)
m = (5-2)/(2-0)
m = 3/2
Since the y intercept is b = 2, we go from y = mx+b to y = (3/2)x+2, which is the equation of the graphed line shown.
Any parallel line will have the same slope, but a different y intercept.
-------------------
The parallel line must pass through (x,y) = (3,2). We'll use these coordinates along with m = 3/2 to find the y intercept b
y = mx+b
2 = (3/2)(3)+b
2 = 9/2+b
2-9/2 = b
4/2 - 9/2 = b
-5/2 = b
b = -5/2 ... is the new y intercept
The equation of the parallel line is y = (3/2)x-5/2, which is in slope intercept form
-------------------
Let's convert to standard form
y = (3/2)x-5/2
2y = 3x-5 .... multiply everything by the LCD 2 to clear out fractions
2y+5 = 3x
3x = 2y+5
3x-2y = 5 ... is the equation in standard form of the parallel line
-------------------
As a check, we can plug (x,y) = (3,2) into that last equation above to get
3x-2y = 5
3*3-2*2 = 5 ... replace x with 3, replace y with 2
9-4 = 5
5 = 5
Confirming that (x,y) = (3,2) is on the line.
Complete the magic square using nos 1 to 15 without repeating the nos so that the sum of each row, diagonal, and column is 30.
Answer:
refer the attachment......
Step-by-step explanation:
hope this works