==========================================================
Work Shown:
x = first number
x+1 = second number
x+2 = third number
x+3 = fourth number
x+4 = fifth number
Note how the numbers are one after another. Consecutive numbers follow this pattern. For example: 6,7,8,9,10 are consecutive numbers. One number follows right after the other.
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Add up those five expressions. Set the sum equal to 70 and solve for x
(x)+(x+1)+(x+2)+(x+3)+(x+4) = 70
(x+x+x+x+x)+(1+2+3+4) = 70
5x+10 = 70
5x = 70-10
5x = 60
x = 60/5
x = 12 is the first number and the smallest number
x+1 = 12+1 = 13 is the second number
x+2 = 12+2 = 14 is the third number
x+3 = 12+3 = 15 is the fourth number
x+4 = 12+4 = 16 is the fifth number
Check:
12+13+14+15+16 = 70
which confirms our answer
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You could use a guess and check method, but the algebraic approach is much more efficient.
convert 6 feet into meters. round to the nearest tenth
Ivan rented a truck for one day. There was a base fee of $18.99, and there was an additional charge of 87 cents for each mile driven. Ivan had to pay $220.83 when he returned the truck. For how many miles did he drive truck?
Answer:
232
Step-by-step explanation:
First you do 220.83 - 18.99 which is 201.84 so you know the price he spent for the miles driven.
Then you divide that number by .87 which gives you 232 for the number of miles driven.
Answer:232
Step-by-step explanation:First of all 87 cents in a decimal it is .87 on to the summery of the question.220.83-18.99=101.84/.87=and the answer is 232.
18.99 needs to be subtracted from 220.83.It will equal 101.84.You will need to divide .87 in to 101.84 to get the answer 232
1. Using the diagram below, answer the following question. Arthur is at the coordinate A(20,35), Cameron is at the coordinate C(65,40), and Jamie is at the coordinate J(45,20).
Arthur kicks the ball to Cameron in the soccer game. Jamie wants to intercept the ball at the midpoint of the distance between Arthur and Cameron. What is the coordinate of the midpoint that Jamie must run towards? Write your answer as a decimal, if necessary.
Answer:
(42.5, 37.5)
Step-by-step explanation:
Given:
Arthur = A(20, 35)
Cameron = C(65, 40)
Jamie = J(45, 20)
Required:
Coordinate of the midpoint of the distance between A and C.
SOLUTION:
Midpoint (M) of AC, is given as:
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Let [tex] A(20, 35) = (x_1, y_1) [/tex]
[tex] C(65, 40) = (x_2, y_2) [/tex]
Plug the values into the given formula:
[tex] M(\frac{20 + 65}{2}, \frac{35 + 40}{2}) [/tex]
[tex] M(\frac{85}{2}, \frac{75}{2}) [/tex]
[tex] M(42.5, 37.5) [/tex]
Coordinate Jamie should run towards is (42.5, 37.5)
Can I get some help with this pleaseeee ? Need it ASAP !!
Simplify:
Need help ASAP! Tysmm
what is 2 + 1 (the meme awnser)
Answer:
its either 3 or 21(pretty sure 21)
Step-by-step explanation:
Answer:21
Step-by-step explanation:
pls help................................
The owner of a landscape company gave a survey to customers asking them to rate the quality of the
work of the crew that did their landscaping. Each respondent rated the quality as high, medium, or low.
The data were compiled and reported in the table, which shows the relative frequency of each rating
by row. A total of 70 people responded about the quality of the work of Crew B. How many of these
people gave Crew B a rating of "high"?
Answer:
35
Step-by-step explanation:
14 of these people gave Crew B a rating of high.
What is the relative frequency?A relative frequency reflects how frequently a certain type of occurrence occurs in relation to the overall number of observations. It is a frequency type that employs percentages, proportions, and fractions.
Given that, A total of 70 people responded about the quality of the work of Crew B. relative frequency of crew B getting high as the rating is 0.200.
Hence,
the number of people who gave B a rating of "high" = 0.200* 70 = 14
Therefore, from the survey owner get to know that 14 out of 70 people think that crew B does work of high quality.
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HELP PLS I NEED THIS IN 5 MIN
Answer:
[tex]displacemnt \: = 4432.5m \: (left)[/tex]
Step-by-step explanation:
[tex]velocity = \frac{displacemnt}{time} \\ - 98.5m {s}^{ - 1} = \frac{x}{45.0 \: s } \\ x = - 98.5 \times 45.0 \\ displacemnt \: = 4432.5m \: (left)[/tex]
Answer:
-4432.5 m
Step-by-step explanation:
-98.5 × 45 = -4432.5 m
brainliest pls, it's for my next rank <:
diego paid $27 to have 3 pizzas delivered and $35 to have 4 pizzas delivered.
What is the price of one pizza
Answer:
9 or 8.25
Step-by-step explanation:
27/3=9
35/4=8 3/4
To find the price of one pizza, we can set up a system of equations based on the given information. Let's assume that the price of one pizza is "x" dollars.
From the first scenario, we know that Diego paid $27 to have 3 pizzas delivered. Thus, we can write the equation:[tex]3x = 27[/tex] From the second scenario, we know that Diego paid $35 to have 4 pizzas delivered. Thus, the equation becomes: [tex]4x = 35[/tex] To solve this system of equations, we can use the substitution method .
From the first equation, rearranging it to solve for "x," we find: [tex]x = 27/3 x = 9[/tex]Substituting the value of "x" into the second equation, we find:[tex]4(9) = 35 36 = 35[/tex] This means there is no solution, indicating that there might be an error in the given information.
However, if we assume an average price for each pizza, we can calculate it. The average price per pizza can be found by dividing the total amount spent by the number of pizzas. Thus, for both scenarios combined, Diego spent $62 on 7 pizzas, leading to an average price of: [tex]62/7 ≈ $8.86[/tex]Therefore, the estimated price of one pizza is approximately $8.86.
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point t is on line segment su. given su= 5x , tu= 2x, and st= 4x-3, determine the numerical length of TU.
Answer: point t is on line segment su. given su= 5x , tu= 2x, and st= 4x-3, determine the numerical length of TU.
i did not know of the measurements. sorry!!!
Step-by-step explanation:
PLZZZ HELPPPPPP!!!!!!!!!!!! PRETTTY PLZZZZZ I"LL GIVE YOU MEMES
What is the value of the expression 9^2 + 1 x 2
Answer:
83
Step-by-step explanation:
9² + 1 × 2
81 + 2
83
By the way, I am Nancy.
Determine whether the statements below are true or false.
1. A segment can bisect a segment.
2. A line can have a midpoint.
A. Both are true
B. The first one is true, the second one is false
C. The first one is false, the second one is true
D. They're both false
Answer:
A
Step-by-step explanation:
I left a $6 tip on a $40 lunch. What percent is this?
Answer:
15%
Step-by-step explanation:
2.
V = 216 in.
Finn designs a sculpture that he wants to
display on stacked cubes. If his sculpture
is 1 foot tall, what will be the total
height of the display after he places the
sculpture on the three stacked cubes?
Explain.
V = 512 in.
V = 1,000 in.
Answer:
The total height of the display would be 36 inches tall.
Step-by-step explanation: The bottom cube would be 10 inches tall because 1,000 cubed would be 10 inches. The cube root of 512 would be 8, and the cube root of 216 would be 6. To find the height of the display you would need to add the height of each cube, plus the foot tall sculpture.
Ariana claims that since there are 3 feet in a yard there are 9 ft.³ in a cubic yard which statement about her claim is true
3 feet = 1 yard
(3 feet)^3 = (1 yard)^3 ... cube both sides
27 cubic feet = 1 cubic yard
So her claim is false. There are 27 cubic feet in 1 yard.
Can’t figure this out. please help !!
Answer:
Hello!
Welcome to Brainly :D
My name is Euijin and the Answer is:
1. 1
2. -3
Or you can use it Backwards.
Step-by-step explanation:
emily sells erasers for $2 per package and pencils for $5 per package. she sells 220 total packages and earns $695. find the number of packages of erasers and pencils that were sold
Given :
Emily sells erasers for $2 per package and pencils for $5 per package. she sells 220 total packages and earns $695.
To Find :
The number of packages of erasers and pencils that were sold .
Solution :
Let, number of erasers are x and pencils are y.
So, x + y = 220 ....1
Also, 2x + 5y = 695 ....2
Solving equation 1 and 2, we get :
[tex]2(220-y)+5y = 695\\\\440 - 2y + 5y = 695\\\\3y = 255\\\\y=85[/tex]
x = 220 - 85 = 135
Therefore, the number of packages of erasers and pencils that were sold are 135 and 85 respectively.
Hence, this is the required solution.
if celia made 3 1/2 cups of rice. A serving is 2/3cup. How many servings of rice did she make?
Answer:
ima say around 5 and 1/4 cups
Step-by-step explanation:
3 1/2 divided by 2/3 cand be round to
3 3/6 divided by 4/6 to make it easier
Answer: E. 5 1/4
Step-by-step explanation:
What is the first step you should do to solve this equation? 2/3x = 16
x = 24
Step-by-step explanation:
isolate the variable
Expand this number in standard form 9.73 x 10 to the 6th power.
Ano ang pinakamalaking kontinente sa buong daigdig?
Answer:
Asia- Asya
Step-by-step explanation:
English- What is the largest continent in the world?
Filipino- Ano ang pinakamalaking kontinente sa buong daigdig?
how do you say 0.437 in decimals
Answer: 4 tenths, 3 hundredths, and 7 thousandths.
what do you mean
it's just 0.437
36 POINTSSSS,HELLPPPPPPPPP In which part of the atmosphere does the temperature decrease as the altitude increases?
es
A)
mesosphere only
B)
mesosphere and troposphere
C)
stratosphere and mesosphere
D)
thermosphere and troposphere
Answer:
D
Step-by-step explanation:
Answer:
thermosphere and troposphere
Step-by-step explanation:
What is the answer????
Answer:
No, 13.439 is not a repeating decimal, and,
Yes, it is a rational number because, it can be represented as p/q where q ≠ 0
The p/q form of this number = 13439/100
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
What is the value of x?
Answer:
x= 20
Step-by-step explanation:
did it on edg2020 a while ago
The value of x using vertical angle is 20.
Thus, option (A) is correct.
Vertical angles are a pair of non-adjacent angles formed by two intersecting lines. When two lines intersect at a point, they create four angles around that point. The two pairs of opposite angles are called vertical angles.
Each pair of vertical angles is congruent, meaning they have equal measures.
Given:
<TRS = x + 40
<VRW = 3x
From the figure, the angles <TRS and <VRW are vertical angles.
So, <TRS = <VRW
x+ 40 = 3x
To do this, subtract x from both sides of the equation:
x + 40 -x = 3x - x
40 = 2x
Dividing both sides of the equation by 2:
40 /2 = x
x= 20
So, the solution is x= 20.
Thus, option (A) is correct.
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Which compound inequality can be represented by the graph below?
A.) x 9
D.) 5 < x ≤ 9
Answer:D
Step-by-step explanation:
Answer:
The answer is 5 < x ≤ 9, OR D on edge
Step-by-step explanation:
its d on edge
How might you prove your observations about the slope of a midsegment in part d using algebra and x- and y-coordinates? Briefly outline an approach using what you know about midpoints and parallel lines. Use the figure you created in GeoGebra to guide you.
Answer: I can use variables to represent the coordinates of the vertices for a general triangle ABC. then I can calculate the midpoints of the sides in terms of the same variables, and calculate the slope of each midsegment showing that the expression for the slope of a midsegment is the same as the expression for the slope of the third side of the triangle proves that the two are parallel.
Step-by-step explanation: this is word for word btw!
geomotry multiple choice
Answer:
b
Step-by-step explanation:
An angle measures 30° less than the measure of its complementary angle. What is the
measure of each angle?
Answer:
70 degrees
Step-by-step explanation:
Answer:
60 degrees
Step-by-step explanation:
A complementary angles add up to 90 degrees.
If an angle measure 30 degrees less than its complementary angle it must be 60 degrees.
30 degrees less than 60 is 30.
This is the answer :)