Answer:
242, 900 people
Step-by-step explanation:
To begin, it says that the population grew by 5%.
(241000)(1.00 + 0.05) = population of the city in 2015
(241000)(1.05) = 253050
253050 is the population of the city in 2015. From 2015 to 2020 it fell four percent.
(253050)(1.00 - 0.04) = population of the city in 2020
(253050)(0.96) = 242928
242928 is the exact population of the city. However, it says to round to the nearest hundred. Since 28 is less than 50, then it would round down to 900.
Therefore, the answer would be 242, 900 people.
3. Segment GE is an angle bisector of both
angle HEF and angle FGH. Prove triangle HGE is
congruent to triangle FGE.
F
H
G
ΔHGE and ΔFGE are congruent by the Angle-Side-Angle Congruence Theorem (ASA).
Recall:
A segment that divides an angle into equal parts is known as an angle bisector.Two triangles are congruent by the ASA Congruence Theorem if they share a common side and have two pairs of congruent angles.In the diagram given, Angle bisector, GE, divides ∠HEF into congruent angles, ∠HEG ≅ ∠GEF.
Also divides ∠FGH into congruent angles, ∠HGE ≅ ∠FGE.
Both triangles also share a common side, GE
This implies that: ΔHGE and ΔFGE have:
two pairs of congruent angles - ∠HEG ≅ ∠GEF and ∠HGE ≅ ∠FGE
a shared side - GE
Therefore, ΔHGE and ΔFGE are congruent by the Angle-Side-Angle Congruence Theorem (ASA).
Learn more about ASA Congruence Theorem on:
https://brainly.com/question/82493
The radius of a circle wheel is 35 cm. How many revolutions does it make to cover a distance of 81.40
Answer:
.37 resolutions
Step-by-step explanation:
2×22/7×35
44.5×=220
0.37 revolutions
what is 5÷ 3 1/3 on khan academy
Answer:
1.5
Step-by-step explanation:
Hope this helped!
Solve the following system of equations by substitution. *
8x + 5y = 24
y = -4x
Answer:
x= 19/4
Step-by-step explanation:
allison made a playlist that included 9/12 country songs. what are two equivalent fractions that represent the part of the play list that is country songs. explain why your fractions are correct?
Answer:
3/4,18/24
Step-by-step explanation:
You can mutiply the numerator and denominator by the same number or divide it by the same number as long as it is a whole number. Ex. (9/3) over (12/3)=3/4. Or (9x2)/(12x2)=18/24
PLEASE HELP ME!! I NEED HELP WITH THIS
Answer: It is answer C.
Step-by-step explanation: Because of the location and angle of the line, it intersects at 9 on the y axis and 1 on the x, therefore giving you 9 over 1
At a soccer game, a vendor sold a combined a total of 220 sodas and hotdogs. The number of sodas was sold was 46 more than the number of hotdogs sold. Find the number of sodas sold and the number of hotdogs sold.
Answer:
133 sodas and 87 hotdogs were sold.
Step-by-step explanation:
math
Answer:
number of sodas: x+46 (46 more than hotdogs)
number of hotdogs: x
x+x+46=220
2x+46=220
2x=174
x=87
87+46=133
number of sodas: 133
number of hotdogs: 87
Solution set for the equation x^2-6x+10=0
Answer:
3+2i, 3-2i
Step-by-step explanation:
no rational solutions
if you use quadratic formula you get (6±[tex]\sqrt{-4}[/tex])÷2
Please help me answer this
Answer:
1) 1:2 2) 3
3) 1:8 4) 2:7
5) 1:4 6) 3:7
7) 2:5 8) 3:11
9) 2:7 10) 4:7
11) 8:9 12) 7:11
13) 1:2 14) 3
15) 26:27 16) 1:40
17) 1:10 18) 1:100
19) 1000 20) 10
Step-by-step explanation:
A credit card company charges an annual simple interest rate of 24%. in august, your purchases totaled $956. How much will you pay for interest, if you pay off that debt in 2 years 3 months?
Answer:
83
I know because I did this problem a few years ago
Find the x- and y-intercepts of the graph of -10x+4y=20. State each answer as an integer or an improper fraction in simplest form.
Answer:
x intercept - (-2,0)
y intercept (0,5)
Step-by-step explanation:
I hope this helps!
2.5 kg rice at $1.90 per kg and 1.5 kg cornmeal at $2.92 per kg
Answer: 2.5kg rice costs $4.75 and 1.5kg cornmeal costs $4.38
Rice:
1kg costs $1.90
2.5kg will cost 1.90 * 2.5
--> $4.75
Cornmeal:
1kg costs $2.92
1.5kg costs 2.92*1.5
--> $4.38
mr karki divides a sum of Rs 180000 between his son and daughter in the ratio of 4:5 find the sum obtained by each of them
Answer:
Step-by-step explanation:
Sorry no one answered your question sooner. First Let x = what the daughter receives
Then 180000 - x is what the son will receive. Notice that if you add these together you get the total, 180000. You write a proportion and cross multiply to solve. Since x = 80000, the son will receive 80000. The daughter will receive 100000.
i really need helpppppppppppppppppppppppppppppp
Answer:
it makes no sence
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
Mean x¯¯¯ 7.25
Median x˜ 7
Mode 6
Range 12
Minimum 1
Maximum 13
Count n 16
Sum 116
Quartiles Quartiles:
Q1 --> 5
Q2 --> 7
Q3 --> 10
Interquartile
Range IQR 5
Outliers none
7.25 - 7 = 0.25
Find the value of x in the figure below
Answer:
37
Step-by-step explanation:
Both the x and the 53 add up to 90 so you subtract 53 from 90 and you get 37
What is the sum of £4(0.5) "1?
n=1
O S=1.5
OS = 2
O S = 4.5
O S= 8
How many minutes does it take for the goose to fly 1 mile if it takes 6 minutes to fly 18 miles
Answer:
1/3 minutes
Step-by-step explanation:
We can write a ratio to solve
6 minutes x minutes
---------------- = ------------------
18 miles 1 mile
Using cross products
6 * 1 = 18 x
6 = 18x
Divide each side by 18
6/18 = 18x/18
1/3 = x
1/3 minutes
Joshua's assignment this weekend is to read a book with seventy-four pages. On Saturday he read thirty pages. How many pages does he need to read on Sunday?
Answer:
61
Step-by-step explanation:
he read first 74 and need to
= 74-30
=44
Work out the missing percentages in these problems. See if you can spot the impossible problem which cannot be answered!
Answer: please read the explanation :)
Step-by-step explanation:
Make the precent a whole number then subtract it form 100 then the answer turn it to a percent :)
1) 100 - 65 = 35 = 35% of boys in the class
2) 100 - 27 = 63 = 63% of skirts that are not red
3) 100 - 78 = 22 = 22% non swimmers
4) 100 - 43 = 57 = 57% what he got wrong
5) 100 - 45+42 = 13 = 13% the games they tied
6) 100 - 28+35 = 37 = 37% who chose football
7) 100 - 38 = 62 = 62% are dogs
8) 100 -35 = 65 = 65% scored over average
9) 100 -12 = 88 = 88% percent
10) 100 - 6 = 94 = 94% can ride the bike
Hope that helps if you need more explanation please send me :)
BRAINLIEST HELPPPP PLEEEASE
Being the same distance away from 0 if you add the positive and negative values together the answer would be 0.
Answer: x + y = 0
The roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?
x = –1 and x =
Answer:
x=3
Step-by-step explanation:
factoring
set to 0
If angle CAB= x+40, angle ACB=3x+10, angle CBD= 6x, what is angle CAB
Two angles are complementary. The smaller angle is 34 degrees less than the larger angle. What is the measurement of the smaller angle?
Answer:
56
Complementary means 90
Subtract 34 from 90
90-34 = 56
Find
∂f
∂x
,
∂f
∂y
, and
∂f
∂z
.
f(x, y, z) = 32xyz
Answer:
what are the measurements for 1 and 2?
Step-by-step explanation:
George Washington
1. The side of a square is 5 units long. What is the area of the square?
20 units?
25 units
10 units?
15 units?
Answer: 25 units squared
Step-by-step explanation:
1) A square has 4 equal sides.
2) The area of a square is length x width.
3) Therefore, 5x5 = 25 units squared (area is always reported in units squared).
On a separate sheet of paper, graph the function. In the answer box, describe the function.
f(x) = {-5x+2 if x 2
2x - 2 if x 22
Please type your explanation (no links).
Answer:
see attached
Step-by-step explanation:
The graph for x < 2 is the line y = -5x +2. It has a y-intercept of 2 (point (0, 2)) and a slope (rise/run) of -5. The line ends with an open circle at (2, -8).
The graph for x ≥ 2 is the line y = 2x -2. It has a slope of 2 and ends with a solid dot at the point (2, 2). Another point on that line will be 2 units right and 4 units up, at (4, 6).
You can plot the points described here and draw rays through them to form the graph. A graph is attached.
__
description
The function is a piecewise linear function with a jump discontinuity at x=2. The portion left of x=2 has a slope of -5 and ends with an open circle at (2, -8). The portion right of x=2 has a slope of +2 and starts with a solid dot at (2, 2).
Its domain is all real numbers. Its range is all y-values greater than -8.
Graph the equation 2x - y = -3
PLEASE HELP, I HAVE NO IDEA HOW.
Step-by-step explanation:
Lets assume that x=0
Therefore- 2×0-y= -3
0 - y =-3
Therefore y = -3
Then lets take now the before equation
2x - 3= -3
2x = -3+3
2x=0
x=0÷2
∴ x= 0
Answer is- 0,-3
See image
You have to change the equation so it's in the form y=mx+b.
b is the y-intercept and it is a good starting point and m is the slope and it tells you directions to the next point (also how steep or flat and if it's going up or down) See image
Evaluate the expression when c=4 and y=-4.
6(4) (-4)
Answer:
6×4×(-4)
24×(-4)
-96
Step-by-step explanation:
Hope it will help you...
Tony’s birthday his mother is making cupcakes for his friends at his daycare that the recipe calls for 3 1/3 of flour I make 2 1/2 dozen cupcakes.Call me she’ll ask flower two dozen of cupcakes
Answer:
No, there is no enough flour for each of his friends to get a cupcake
Step-by-step explanation:
Let us use the ratio method to solve the question
∵ This recipe makes 2 dozen cupcakes
∵ Each dozen contain 12 cupcakes
∴ The number of cupcakes can the recipe make = 2 × 12
∴ The number of cupcakes can the recipe make = 30 cupcakes
∵ The recipe calls for 3 cups of flour
→ That means 3 cups of flour can make 30 cupcakes
∴ 3 cups of flour makes 30 cupcakes
∵ Anthony’s mother has only 1 cup of flour
→ By using the ratio method
→ flour : cupcake
→ 3 : 30
→ 1 : x
→ By using cross multiplication
∵ 3 × x = 1 × 30
∴ 3 x = 30
→ Divide both sides by 3
∴ x = 9
∵ x represents the number of cupcakes
∴ Anthony’s mother can make 9 cupcakes with 1 cup of flour
∵ Anthony has 12 friends at his daycare
∵ The number of the cupcakes = 9
∴ The number of cupcakes is not enough for each of his friends to
get a cupcake
Step-by-step explanation:
Answer:
Tony’s birthday his mother is making cupcakes for his friends at his daycare that the recipe calls for 3 1/3 of flour I make 2 1/2 dozen cupcakes.Call me she’ll ask flower two dozen of cupcakes
Step-by-step explanation:
Harry bought two-thirds pound of candy. He ate four-fifths of the candy. What was the weight of the candy he ate?
Answer:
8/15
Step-by-step explanation:
not sure but I think you just multiply them