Answer:
In the same manner, the third integer can be represented as n + 2 {n + 2} n+2 and the fourth integer as n + 3 {n + 3} n+3. We can then translate “the sum of four consecutive integers is 238” into an equation.
Step-by-step explanation:
Use SUBSTITUTION to solve the system
y=4x
2y-2x=12
Juan has a piece of fabric with a length of 5/9 yard and a width of 3/10 yard. What is the area of Juan's piece of fabric? Enter your answer as a fraction in simplest form by filling in the boxes.
The area of the given cloth is 1/6 yards².
What is an area?The measurement that expresses the size of a region on a plane or curved surface is called an area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.So, the area of the cloth:
The length of the cloth is 5/9 yards.The breadth of the cloth is 3/10 yards.So, we know that it is a rectangular cloth.
Area of rectangle: l × bCalculate the area as follows:
l × b5/9 × 3/1015/901/6 yards²
Therefore, the area of the given cloth is 1/6 yards².
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The brown gerbil eats 30 pallets each day. The brown gerbil eats 10 less than 4 times the number of pallets as the tan gerbil. The family has 200 pallets of food left. For how many days can they feed both of the gerbils ?
Answer: 5 days
Step-by-step explanation:
Let the number of pallets that the tan gerbil eat be x.
Since the brown gerbil eats 10 less than 4 times the number of pallets as the tan gerbil and eats 30 pallets pee day. This will be:
(4 × x) - 10 = 30
4x - 10 = 30
4x = 30 + 10.
4x = 40
x = 40/4
x = 10
The tan gerbil eats 10 pallets per day.
Both gerbil eats (30 + 10) = 40 gerbils per day.
Since the family has 200 pallets of food left, the number of days that they can feed both of the gerbils would be:
= 200 / 40
= 5 days
A student is riding a bicycle and sees a traffic light that is 50 feet away.The vertical distance between the traffic light and the student is 14 feet.The student also notices a helicopter at an angle of elevation of 82°.The helicopter is directly above the traffic light.To the nearest tenth of a foot ,what is the vertical distance between the student and the helicopter?
Answer:
50-14= your answer .
82-your answer
Step-by-step explanation:
The vertical distance between the student and the helicopter is 341.5 feet.
What are trigonometric angles?Trigonometric angles are the angles in a right-angled triangle using which different trigonometric functions can be represented. Some standard angles used in trigonometry are 0º, 30º, 45º, 60º, 90º.
Given that, a student is riding a bicycle and sees a traffic light that is 50 feet away.
Here, sinx°= 14/50
sinx°=0.28
x°=16.26°
Now tan16.26°=14/p
0.2916=14/p
p=14/0.2916
p=48
tan82°=v/48
7.1153=v/48
v=7.1153×48
v=341.5 feet
Therefore, the vertical distance between the student and the helicopter is 341.5 feet.
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30 POINTS ! TRUE OR FALSE?
False, they're perpendicular
Answer:
False
Step-by-step explanation:
The table shows the weights y
of x
pints of blueberries.
Number of Pints, x
0 1 2 3 4 5
Weight (pounds), y
0 0.8 1.50 2.20 3.0 3.80
a. Graph the data shown in the table using the coordinate plane provided to the right.
Question 1
b. A line that could best approximate the points could go through which two points below?
A line that could best approximate the points could go through Response area.
(0,0)
and (5,3.75)
(2,1.50)
and (4.5,2.25)
(0,0)
and (2,2.25)
Question 2
c. Use the points you chose in part (b) to write an equation of the line.
y=
y
=
d. Use the equation to predict the weight of 10 pints of blueberries.
Ten pints of blueberries weight about pounds.
e. Blueberries cost $2.25 per pound. Use the equation to predict how much 10 pints of blueberries will cost, to the nearest cent.
Ten pints of blueberries will cost about $
$
.
Question 3
PointMove
UndoRedoReset
PintsWeight (pounds)
The table that shows the relationship between the weights of pints of blueberries is a linear regression function
The equation of the line is y = 0.75xTen pints of blueberries weigh about 7.5 pounds.Ten pints of blueberries will cost about $16.875The graphThe table entry is given as:
x 0 1 2 3 4 5
y 0 0.8 1.50 2.20 3.0 3.80
See attachment for the graph
The points on the lineA line that could best approximate the points could go through the origin (0,0) and (5,3.75)
The line equationWe have the points to be (0,0) and (5,3.75)
Since the line passes through the origin, the equation of the line would be:
[tex]y = \frac{y_2}{x_2}x[/tex]
So, we have:
[tex]y = \frac{3.75}{5}x[/tex]
[tex]y = 0.75x[/tex]
Hence, the equation of the line is y = 0.75x
The weight of 10 pints of blueberriesThis means that x = 10.
So, we have:
y = 0.75 * 10
y = 7.5
Hence, ten pints of blueberries weigh about 7.5 pounds.
The cost of 10 pints of blueberriesThe unit rate is $2.25 per pound
Ten pints of blueberries weigh about 7.5 pounds.
So, the cost of 10 pints is:
Cost = 7.5 * 2.25
Cost = 16.875
Ten pints of blueberries will cost about $16.875
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A business has two delivery trucks. The weight of the first truck is 7.5 tons. The weight of the second truck is 8.75 tons. What is the difference in the weight of the trucks in pounds?
Answer:
2500 pounds
Step-by-step explanation:
There are 2000 pounds in one ton.
Find the weight of the first truck in pounds:
7.5(2000)
= 15000
Find the weight of the second truck in pounds:
8.75(2000)
= 17500
Now, find the difference in the weight:
17500 - 15000
= 2500 pounds
So, the difference in the weight of the trucks in pounds is 2500 pounds
Answer:
the person above me or below me is right i did the math and its correct gives me that answer
Step-by-step explanation:
Which function's graph is shown below?
Answer:
B: y=sinx
Step-by-step explanation:
the parent sine function is a repeating function that goes from 0 to 1, with sin(0)=0 sin(pi/2)=1 sin(pi)=0 sin(3pi/2)=-1 and sin(2pi)=0, π≈3.1415926 and we see on this graph that the graph matches at all these major points.
the cosine parent function is essentially the same thing but shifted to the left by π/2. It is essential to familiarize yourself with the unit circle and the key angles and their respective sin and cosine values.
The answer is y = sin x!!
How long does it take the snall to crawl 76 inches? Enter your answer as a decimal number.
Answer:
How long is the snail, what is its terminal velocity, what kind of snail, and also wheres the the graph or picture?
Step-by-step explanation:
please answer my question and I will mark branliest
Answer:
3/4
Step-by-step explanation:
there are 3 more games of cribbage being played than games of chess being played. how many of each game are being played. explain and show your reasoning
Answer:
Step-by-step explanation:
8 chess & 11 cribbage
.18 g = ___ kg ANSWER IF YOU KNOW PLEASE :(
Answer:
.18 grams equals .00018 kilograms
Answer:
.00018 kg
Step-by-step explanation:
To get from grams to kilograms, you divide by 1000, so you have to divide .18 by 1000. 0.18/1000 = .00018, so the answer is .00018 kg
please help me s+5s=
Answer:
s+5s=6s
Step-by-step explanation:
not sure if im right but hope this helps
Answer:
6s
Step-by-step explanation:
s+5s = 1s + 5s = 6s
Plsss help I don't know how to graph I will give brainiest!
Answer: (2, 5)
Step-by-step explanation:
y = 2x + 1 y = 4x − 3
Eliminate the equal sides of each equation and combine.
2x + 1 = 4x − 3
Solve 2x + 1 = 4x − 3 for x.
Move all terms containing x to the left side of the equation.
Subtract 4x from both sides of the equation.
2x + 1 − 4x = −3
Subtract 4x from 2x.
−2x + 1 = −3
Move all terms not containing x to the right side of the equation.
Subtract 1 from both sides of the equation.
−2x = −3 − 1
Subtract 1 from −3.
−2x = −4
Divide each term by −2 and simplify.
x = 2
Evaluate y when x = 2.
Substitute 2 for x. y = 4 (2) − 3
Simplify 4 (2) − 3.
Multiply 4 by 2.
y = 8 − 3
Subtract 3 from 8.
y = 5
The solution to the system is the complete set of ordered pairs that are valid solutions.
(2, 5)
The result can be shown in multiple forms.
Point Form:
(2, 5)
Equation Form:
x = 2, y = 5
One Friday night, two large groups of people called Centerville Taxi Service. The first group
requested 3 sedans and 2 minivans, which can seat a total of 21 people. The second group
asked for 3 sedans and 3 minivans, which can seat a total of 27 people. How many
passengers can each type of taxi seat?
Answer:sedan can hold 3 people and a minivan can hold 9 people.
Step-by-step explanation:
Suppose the number of passengers each sedan can carry is A and the number of passengers each minivan can carry is B
So 3A + 2B = 21 and 3A + 3B = 27
If we subtract the equations we can solve for B
3A + 3B = 27
-3A - 2B = 21
___________
B = 6
Now we know Each minivan can hold 6 passengers and we can solve for A.
3A + 3B = 27
3A + 3(6) = 27
3A + 18 = 27
- 18. -18
__________
3A = 9
A =3
You can check this by solving the other equation.
3A + 2B = 21
3(3) + 2(6) = 21
9 + 12 = 21
Hope that helps
Pleasee help me I’ll mark u brainliest!!
Answer:
[tex] m\angle XYW = (155 - 20x
)\degree [/tex]
Step-by-step explanation:
[tex]m\angle XYZ= m\angle XYW +m\angle WYZ\\\\
150\degree = m\angle XYW +(20x-5)\degree \\\\
150\degree - (20x-5)\degree = m\angle XYW \\\\
(150 - 20x
+5)\degree = m\angle XYW \\\\
(155 - 20x
)\degree = m\angle XYW \\\\
m\angle XYW = (155 - 20x
)\degree \\\\
[/tex]
Help I only have a few hours till I fail this course!!!!!!!!!
Store A charges $4 for 5 apples, store B charges $6.75 for 9 apples. Which one is a better deal? WHY?
Answer: well it depend on ir ur trying to spend the most money or least
Step-by-step explanation: Stora A because you would have to pay that much and u get alot of apples, also because you didt spend alot of money on appels
Store B because that alot of appels that can probaly last a while and u can make stuff with it
Answer:
The second one
Step-by-step explanation
Find the worth of one apple
5/4=0.8
0.8x9=7.2
The second one is less expensive.
I drive 55 miles per hour for 3 hours, stop for lunch for an hour, then drive 4 more hours at 62 miles per hour. What was my average speed for my 8 hour trip?
Answer:
15.5
Step-by-step explanation: I know because I calculated it praporly if you say I am wrong then most likely your wrong
Using ƒ(x) = 2x + 7 and g(x) = x − 3, find ƒ(g(-2)).
Answer:
We conclude that:
f(g(-2)) = -3
Step-by-step explanation:
Given
f(x) = 2x + 7g(x) = x-3To determine
f(g(-2)) = ?In order to determine f(g(-2)), first we need to determine g(-2)
so substituting x = -2 in g(x) = x-3
g(-2) = -2 - 3
= -5
Thus,
f(g(-2)) = f(-5)
now substitute x = -5 in the function f(x) = 2x+7
f(x) = 2x+7
f(-5) = 2(-5) + 7
f(-5) = -10 + 7
f(-5) = -3
so
f(g(-2)) = f(-5) = -3
Therefore, we conclude that:
f(g(-2)) = -3
Kayla has bank account with $250. She goes to Dunkin Donuts and buys the same meal of $8.25 each day. How much money does she have in her account after going to Dunkin 5 days in a row?
Answer: $208.75
Step-by-step explanation:
8.25x5= 41.25 250-41.25= 208.75
Answer:
$8.25 x 5 days = $41.25
$250 - $41.25 = $208.75
Kayla has $208.75 in her bank after going to Dunkin' Donuts five days a row.
Step-by-step explanation:
PLS mark as brainliest answer, please??
thanks
50 points please lmk how to do this
Answer:
ZD= OY= 42
DO= ZY= 25
YV= VD= 60/2= 30
ZV= OV= 18
Step-by-step explanation:
Parallelogram is same as rectangle so opposite side will be same, just like rectangle. and for diagnoal, V bisect both diagnoal so, ZV=VO and YV=VD
Hope this helps!!
2x + 10 degrees solve for x
Each angle = 60 o Explanation: The two alternate interior angles provided are: ( 2 x + 10 ) o and, ( 3 x − 15 ) o A pair of alternate interior angles as per property ,have equal values. ( 2 x + 10 ) o = ( 3 x − 15 ) o ( 10 + 15 ) o = 3 x − 2 x 25 o = x So, angle 1: ( 2 x + 10 ) o = 2 × 25 + 10 = 60 o angle 2: ( 3 x − 15 ) o = 3 × 25 − 15 = 60 o
Tayler enlarged triangle A proportionally. She made each side 2.5 times as long. Use the drop-down menus to complete the statements below.
Answer:
Cheater LOL JK
Step-by-step explanation:
Im here for the points so like PAY ATTENTION IN CLASS AND STOP CHEATING CHILD
PLEASEEEEE HELP MEE will give brainliest
I'm not sure if it's correct...........
PLEASE HELP ME
ILL GIVE YOU BRINIEST
Answer:
it is the second one
Step-by-step explanation:
Simplify the expression (2−3i) (5+i) by distributing. Express your answer in a+bi form, Step by Step.
Answer:
13-13i
Step-by-step explanation:
2(5+i)-3i(5+i)
10+2i-15i-3i²
10-13i+3
13-13i
In this picture B,D, and Fare
midpoints. AC=50, CE=60, and
BD=35
DF=[?]
Answer:
25
Step-by-step explanation:
The smaller triangle is constructed by joining the 3 midpoints. Every line in that smaller triangle is parallel and 1/2 the size of the line not joined by the 2 given midpoints.
In this case 1/2 AC = 1/2 * 50 = 25
The length of DF = 25
You are at the bottom of a mountain where the temperature is 74°F. The top of the mountain is 5500 feet above you. What is the temperature at the top of the mountain?
For every 1,000 feet you go up in elevation, the temperature decreases by about 3.3°F
Given:
Temperature at the bottom of the mountain is 74°F
The top of the mountain is 5500 feet above you
Change (reduction) in temperature is 3.3 X 5500 / 1000
= 18.15°F
Temperature at the top of the mountain is 74°F – 18.15°F
= 55.85°F
whats the answer to 2 x 2 x 4 x 4 x 4 x 5 x 5 x 5 x 5 use expoments for the answer
Answer:
160,000
Step-by-step explanation
[tex]2^{2} X 4^{3} X 5^{4}[/tex]
2 x 2 = 4
4 x 4 x 4 = 64
5 x 5 x 5 x 5 = 625
4 x 64 x 624 = 160,000
how can you determine if two figure are identical