Answer: 240 gumdrops
Step-by-step explanation:
1 house: 15 gumdrops
16 houses : 240 gumdrops
1 x 16 = 16
15 x 16 = 240
Lisa's living room is 21 feet wide. If the length is 4 feet less than twice the width, what is the area of her living room?
square feet
Answer:
21+21=42
42-4=38
21x38=798sq ft
Step-by-step explanation:
Which of the following equations could be the equation to represent the given graph? Make sure you explain your answer thoroughly.
Unit 7 Algebra 2a sample work connections academy
The equation that represents the function is [tex]y = 2(\frac 12)^x[/tex]
The graph is an exponential function, and it passes through the points:
[tex](x,y) = (1,1)\ (0,2)[/tex]
An exponential function is represented with:
[tex]y = ab^x[/tex]
At (0,2), we have:
[tex]ab^0 = 2[/tex]
This gives
[tex]a(1) = 2[/tex]
[tex]a = 2[/tex]
At (1,1), we have:
[tex]ab^1 = 1[/tex]
[tex]ab = 1[/tex]
Substitute 2 for (a)
[tex]2b = 1[/tex]
Divide both sides by 2
[tex]b = \frac 12[/tex]
Substitute values for a and b in [tex]y = ab^x[/tex]
[tex]y = 2(\frac 12)^x[/tex]
Hence, the equation that represents the function is [tex]y = 2(\frac 12)^x[/tex]
Read more about exponential functions at:
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7) If a point is randomly chosen on the square shown, what is the probability that it will be in the red section of the figure? A) 1/4 B) 1/3 C) 1/2 D) 3/4
Answer:
1/4
Step-by-step explanation:
1/4 because it is one piece out of the four cuts. if it were yellow, than it would be 2/4, or 1/2
A man walks 10 km, then travels a certain distance by train and then by bus as far as twice by the train. If the whole journey is of 70km, how far did he travel by train?
Answer:
The man traveled 20km by train.
Step-by-step explanation:
If x is the distance he traveled by train, you can write this equation to represent the situation:
[tex]10+x+2x=70[/tex]
Then, you can simply solve for x:
[tex]10+3x=70\\3x=60\\x=20[/tex]
The man traveled 20km by train.
[tex]10+(20)+2(20)=70\\10+20+40=70\\70=70[/tex]
The
is the distance across a circle, going through the center.
circumference
diameter
radius
area
The distance across a circle, going through the center is called Diameter.
How do you multiply fractions? Please explain step by step to get marked
Answer: 10/3
Step-by-step explanation
2/3x5
2/3x5/1
Now goahead and multiply the top and bottom numbers
Fill in the blanks so the left side of each is a perfect square trinomial. That it complete the square
x^ 2 -2x+?=(x-?)^ 2
the question mark are the empty boxes for the numbers
Answer:
1
Step-by-step explanation:
Look at the LHS: you have the square of x, then you have 2 times x, times -1. to complete a square you just need to add the square of -1, that is 1. That becomes
[tex]x^2-2x +1 = (x-1)^2[/tex]
combine like terms (3x-2y+z)+(5z-8x-5y)+(-15x+8z)
Answer:
−20−7+14
Step-by-step explanation:
The radius of the semicircle is 3 in. How long is its perimeter?
Please be accurate and explain.
Answer:
15.42 inches
Step-by-step explanation:
-formula : perimeter of semi circle= πr+2r
r=3 inch
π.3+2.3
=3π+6
≅15.42inchAnswer:
15.425 or 6+3π
Step-by-step explanation:
If the radius of the circle is 3 inches and the diameter is double the radius, we know the diameter is 6 inches. Then we find half of the perimeter of a circle with radius 3. The perimeter formula of a cirle is 2πr. Plugging in the radius we get: 2(3)π or 6π. Then we divide by 2 as it is a semicircle and get 3π or ≈9.425. We add 6 to this and we get the answer of 15.425 or 6+3π.
Please help me solve this
BA=(3),(3),(-1) is the answer
Which of the following is most likely the next step in the series?
A?
B?
C?
D?
Answer:
c
Step-by-step explanation:
each shape has one more side than the other
the last shape in the pattern so far has 5
the shape at letter c has 6
therefore it is c
help me plz ineed help
Answer:
23°
Step-by-step explanation:
Opposite angles so:
60° = 2x + 14
Therefore:
x = 23°
Answer:
x is 23°
Step-by-step explanation:
those opposite angles and are always equal to each other...so to get x take 60-14 then answer divide by two
Bidmass working out questions
Answer:
The answer will be 0
Step-by-step explanation:
Let me know Hope it helps
need help with this problem
Check the picture below.
Elijah was six times as old as his son. In twelve years he will be twice as old as his son. How old are they now
To solve this, we need to turn this word problem into a system of linear equations. To do this, let's use x to stand for Mr. Fontana's age, and y to stand for his son's age.
The first sentence states that eight years ago, Mr. Fontana was six times as old as his son.
eight years ago = x - 8
Fontana was six times as old as his son = 6(y - 8). Remember, we need subtract 8 from his son's age, which is why I wrote it as 6(y - 8), and his father was 6 times his son's age 8 years ago, which is why I multiplied 6 by y - 8.
Now, putting this all together gives us our first equation:
x - 8 = 6(y - 8)
We can now rewrite this equation in standard form:
x - 8 = 6y - 48 ----->
x - 6y = -48 + 8 ----->
x - 6y = -40 <----- this is our first linear equation
To find our second, we need to turn the second sentence into an equation. It says that in 12 years, Mr. Fontana will be twice as old as his son:
x + 12 = 2(y + 12)
Now, we need to rewrite this equation in standard form:
x + 12 = 2y + 24 ----->
x - 2y = 24 - 12 ----->
x - 2y = 12 <----- this is our second linear equation. We now have our system of equations:
x - 6y = -40
x - 2y = 12
Now we can find the father's age (x) and his son's age (y). First, multiply the second equation by -1, giving us:
x - 6y = -40
-x + 2y = -12
Now we can add both equations together:
x - x - 6y + 2y = -40 + -12 ----->
-4y = -52
Solve for y, by dividing both sides of the equation by -4, giving us:
y = 13
So, now we know the son's age: 13
To find the father's age, replace y in either the first equation or the second equation, with 13. Let's use the first equation:
x - 6(13) = -40 ----->
x - 78 = -40 ----->
x = 78 - 40 ----->
x = 38
Therefore, Mr. Fontana is 38 years old and his son is 13 years old.
What is 25% of 50?
Need answers :)
Answer:
12.5
Step-by-step explanation:
Answer: 25% of 50 is 25/2 or 12½ as a fraction and 12.5 as a decimal.
Help help math math math
Answer:
This is a nonlinear function
Step-by-step explanation:
This is because in increase in y changes every time in this function, from 3 to 5 to 7
The answer is Non-Linear. Hope this helps :)
(6y^3) - 42y= -4y^3
please helpp
Answer:
i have no clue
Step-by-step explanation:
i said this bc apparently i have to help someone to get help and i just wanna finish this math homework lol
Help help help help math
Suppose a 5-digit number is formed using the digits from 1 to 9 (without replacement). What is the probability that it will be an even number?
By finding the probability that the unit digit is even, we will see that the probability that the 5-digit number will be even is P = 4/9.
So we have a 5-digit number, let's say that it is:
abcde
Now, we have 5 "slots" where we can put numbers from 1 to 9 (without replacement).
We want to find the probability that the number will be even, so we only care for the last digit, e (it must be even).
Let's assume that the first digit at which we assign its value is this, e, the last one.
For this digit we have 9 options, {1, 2, 3, 4, 5, 6, 7, 8, 9}
4 of these options are even numbers.
So there are 4 out of 9 cases where the last digit is even, then the probability that the 5-digit number will be even is just:
P = 4/9
Now the other four digits can be anything (even or odd), so we only care for the probability above.
If you want to learn more about probability, you can read:
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QUESTION 23.PLEASE HELP ASAP
Answer:
None
Step-by-step explanation:
Answer:none
Step-by-step explanation:i know how to do math
i have a question yall
Even though you can take drivers ed at 14 but you cant get ur license till 15 would you take drivers ed at 14 or 15
answer asap
Solve for x: one over eight 1/8(8x + 15) = 24
Answer:
22[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
I hope this helps!!!
Help me with this question
Answer:
I don't have any idea of that question
Step-by-step explanation:
I'm sorry
the orthocenter of a triangle is at the origin, and two of the vertices of the triangle are at (-5,0) and (3,4) Find the third vertex of the triangle
Answer:
(3, -6)
Step-by-step explanation:
The orthocenter is the point of intersection of the altitudes of the triangle. That is, each altitude goes through the orthocenter. Hence, the line from any given vertex through the orthocenter is perpendicular to the opposite side.
The attached figure shows the given points labeled A and B. Point A lies on the x-axis, as does the orthocenter, so the side opposite will be a vertical line (perpendicular to the x-axis).
The remaining side of the triangle will be perpendicular to the line from B through the origin. The line through B has slope 4/3, so the line containing side AC will have slope -3/4 and will go through point A. Its point-slope equation will be ...
y -0 = -3/4(x +5)
We already know the x-coordinate of vertex C is the same as that of vertex B, so is x=3. Using this in the equation for side AC, we find the y-coordinate to be ...
y = -3/4(3 +5) = -6
The coordinates of point C, the third vertex, are (3, -6).
_____
Additional comments
The slope of a line is given by ...
m = (y2 -y1)/(x2 -x1)
When (x1, y1) = (0, 0), this reduces to ...
m = y2/x2 . . . . . . the relation we used for the slope of line OB
__
The slope of a perpendicular line is the opposite reciprocal of the slope of a line. The line perpendicular to the one with slope 4/3 will be -1/(4/3) = -3/4.
__
The point-slope form of the equation of a line is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
Yosef typed a 36 word paragraph in 2/3 minute. What is his typing speed, in words per minute?
Answer:
the answer is:
Yousef typing speed, in words per minute is
equal to
54 words
minute
What is 1,000 x 10,090g
Answer:
10,090,000 grams
Step-by-step explanation:
Just add three zeros to 10090g.
(SAT Prep) Find the value of x
Answer:
x = 36
Step-by-step explanation:
3x+2x=180
5x=180
x=36
Answer:
x=36 degrees
Step-by-step explanation:
mario made a table with the rules below
rules
x - coordinate
start with 1 and multiply each term by 3
y- coordinate
start with 1 and add 3 to each term
anwer choices
a- (1,1) (3,4) (9,7)
b- (1,4) (3,6) (6,18)
c-(1,3) (3,9) (6,12)
d- (1,3) (1,4) (6,10)
e- (1,1) (3,3) (6,10)
Answer:
a- (1,1) (3,4) (9,7)
Hope you could get an idea from here.
Doubt clarification - use comment section.
Travel back in time to the year 2008, when text messages were charged per text. Some carriers charged $59 for a basic text package of 200 texts and 20 cents per text after that. Today, most packages include unlimited text and data but cost closer to $100 a month.
Write and solve an equation to determine the range of text messages you can send with the 2008 plan without spending more than $100.
If you have a phone, look at your data summary. Is this range your average daily number, weekly number, or monthly number of texts? Determine how much you would have paid for the month if you had the 2008 text plan? Write this as an equation and solve It.
80 POINTS!!!!
Answer:
You can send 405 texts in 2008 without going over 100$
Step-by-step explanation:
Equation for 2008:
59$ for 200 texts + .20 dollars per text after that < or = $100
So minus $59 dollars
.20 * (number of txts) < 100 - 59
.20 * (number of txts) < 41
divide both sides by .2
number of txts < or = 205
so therefore you can send exactly 405 texts without going over $100
Then to find how much you would pay plug into this equation
If total number of texts is lower than 200 texts, then you would be paying $59, but if it is more then plug into the following equation
(Total number of texts - 200) * .20 + 59 = Total $ spent for a 2008 text plan per month.
The total number of texts that can be sent is 405 texts in 2008 without going over 100$. The amount will be $99.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The equation for 2008:
59$ for 200 texts + 0.20 dollars per text after that < or = $100 and minus $59 dollars
0.20 x (number of texts) < 100 - 59
0.20 x (number of texts) < 41
Divide both sides by 0.2
number of texts < or = 205
405 texts can be sent without going over $100
If the total number of texts is lower than 200 texts, then you would be paying $59, but if it is more then plug into the following equation
(Total number of texts - 200) x 0.20 + 59 = Total $ spent for a 2008 text plan per month.
( 405 - 200 ) x 0.2 + 59 = $99
Therefore, the total number of texts that can be sent is 405 texts in 2008 without going over 100$. The amount will be $99.
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