Answer:
Let g = length of green ribbon.
So 1.5g + 6.5 = length of blue ribbon.
g + 1.5g + 6.5 = 50.25
2.5g = 43.75
g = 17.5 meters of green ribbon
1.5(17.5) + 6.5 = 32.25 meters of blue ribbon
The tree diagram shows Pam's choices for her appetizer and meal at a restaurant How many choices include chicken?
A) 1
B) 2
C) 3
D) 4
One day, River writes down the numbers $1,$ $2,$ $\dots,$ $999.$ River chooses one of the digits written down at random. What is the probability that River chooses a $7$?
Answer:
100/963
Step-by-step explanation:
The number 1,2,3,...,999 is written down.
First, we determine the total number of digits written down
1-9 =9 digits 10-99= 2(99 - 10 + 1) =2(90) digits100-999=3(999 - 100 + 1) =3(900) digitsTotal Number of digits=9+2(90)+3(900) =2889
Number of Digit 7 between 1 and 999
In the Units’ place, 7 occurs once every decade (7, 017… 997)=10 X 10= 100 times In the Tens place, 7 occurs in the ten times every century (70–79, 170–179, …, 970–979) =10 X 10= 100 times In the hundreds’ place, 7 occurs once in the hundreds’ place (700, 701, …, 799) = 100 timesTherefore, the number 7 will be found a total of 300 times between 1 and 999.
Therefore, the probability of selecting a "7" = 300/2889
= 100/963
Final answer:
The probability that River chooses a 7 from the numbers 1 to 999 when randomly selecting a digit is approximately 0.111 or 11.1%. This is calculated by dividing the total occurrences of the digit 7 (321 times) by the total number of digits written (2889 digits).
Explanation:
To calculate the probability that River chooses a 7 from the numbers 1 to 999 when randomly selecting a digit, we must first determine the total number of times the digit 7 appears in this range. In numbers 1-9, 7 appears once; in numbers 10-99, it appears 10 times in the units place plus 10 times in the tens place; and in numbers 100-999, it appears 100 times in the units place, 100 times in the tens place, and 100 times in the hundreds place. Therefore, there are a total of 1 + 10 + 10 + 100 + 100 + 100 = 321 occurrences of the digit 7.
Next, we calculate the total number of digits written down from 1 to 999. For numbers 1-9, there are 9 digits. For 10-99, there are 90 numbers times 2 digits each, totaling 180 digits. For 100-999, there are 900 numbers times 3 digits each, totaling 2700 digits. The sum of all digits is 9 + 180 + 2700 = 2889 digits.
The probability that River chooses a 7 is the number of 7s divided by the total number of digits, which is 321/2889. Simplifying this fraction, we get a probability of approximately 0.111 or 11.1%.
Christina bought a purse for $29.95 and x belts for $3.99 each. Which of the following expressions shows the total amount of money she spent?
29.95x + 3.99 29.95x + 3.99x 29.95 + 3.99 + x 29.95 + 3.99x
Answer:
29.95 + 3.99x
Step-by-step explanation:
she bought one purse and x number of belts for 3.99
Answer:
29.95+3.99x
Step-by-step explanation:
What’s the answer????
Answer:
it would be 20 hope this helps
x^2<64 find solution
Answer:
(-8,8)
Step-by-step explanation:
The sum of -4 and 5 times a number is multiplied by 3. The result is 212 less than 7 times the number. What is the number?
Answer:
104
Step-by-step explanation:
First, put the word equation into a numerical equation.
-4+5x=7x-212 This is our equation
-4=2x-212 I subtracted 5x from both sides
208=2x I added 212 to both sides
104=x I divided both sides by 2
To solve the problem, we can set up an equation and solve for the variable 'x'. The number is x = -25.
Explanation:To solve this problem, we can translate the given information into an equation. Let's assume the number is 'x'. The sum of -4 and 5 times 'x' is -4 + 5x. The equation becomes 3(-4 + 5x) = 7x - 212. We can simplify this equation and solve for 'x' to find the number.
First, distribute the 3 to -4 and 5x, which gives us -12 + 15x = 7x - 212. Then, combine like terms by subtracting 7x from both sides, which gives us -12 + 8x = -212. Next, add 12 to both sides to isolate the variable, resulting in 8x = -200. Finally, divide both sides by 8 to solve for 'x'. The number is x = -25.
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Use the graph to identify the amplitude for each
function shown.
The amplitude of the function shown in orange is
The amplitude of the function shown in blue is
The amplitude of the function shown in green is
Answer:
6
4
3
Step-by-step explanation:
Answer:
Use the graph to identify the amplitude for each function shown.
The amplitude of the function shown in orange is
✔ 6
.
The amplitude of the function shown in blue is
✔ 4
.
The amplitude of the function shown in green is
✔ 3
.
Step-by-step explanation:
This from my answers.
2(x − 6) − 24 = 13 − 5x
x =
Answer:
X=5
Step-by-step explanation:
please help
pleaze plz
Given:
Deposit (P) = £2000
Rate of interest (r) = 3%
Time (t)= 2 years
Number of time interest calculated per year (n) = 1
To find:
Amount in the account after 2 years
Solution:
Compound interest formula:
[tex]$A=P\left(1+\frac{r}{n}\right)^{n t}[/tex]
Substitute the given values.
[tex]$A=2000\left(1+\frac{3\%}{1}\right)^{1\times 2}[/tex]
To convert percentage into fraction divide by 100.
[tex]$A=2000\left(1+\frac{\frac{3}{100} }{1}\right)^{1\times 2}[/tex]
[tex]$A=2000\left(1+\frac{0.03 }{1}\right)^{ 2}[/tex]
[tex]$A=2000\left(1+0.03\right)^{ 2}[/tex]
[tex]$A=2000\left(1.03 }\right)^{ 2}[/tex]
[tex]$A=2121.8[/tex]
Therefore, £2121.8 will be in the account after 2 years.
Rewrite the function by completing the square h(x) =4x^2+4x+1
Answer:
4(x + [tex]\frac{1}{2}[/tex] )²
Step-by-step explanation:
Given
h(x) = 4x² + 4x + 1
To complete the square the coefficient of the x² term must be 1
Factor out 4 from 4x² + 4x
h(x) = 4(x² + x) + 1
add/subtract ( half the coefficient of the x- term )² to x² + x
h(x) = 4(x² + 2([tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) + 1
= 4(x + [tex]\frac{1}{2}[/tex] )² - 1 + 1
= 4(x + [tex]\frac{1}{2}[/tex] )²
Answer:
Step-by-step explanation:
4(x+1/2)^2+0
The first box is 4
The second box is 1/2
the third box is 0
8 cm
Find the area of the figure. Round
your answer to the nearest
hundredth.
Answer:
128
Step-by-step explanation:
Part of the population of 5,250 elk at a wildlife preserve is infected with a parasite. A random sample of 50
elk shows that 6 of them are infected. How many elk are likely to be infected?
Based on the sample, there will likely be
————- infected
in the wildlife preserve.
Answer:
720 elk I think (sorry if wrong)
What is the volume of a cone (in cubic inches) with a radius of 6 inches and a height of 3 inches? Use 3.14 for π. Round your answer to the nearest hundredth.
Answer:
113.04 cubic inches
Step-by-step explanation:
V=π * r^2 *(h/3)
V= 3.14 * 36 * (3/3)
V = 3.14 * 36 * 1 = 113.04
Answer:
25.12
Step-by-step explanation:
A robot that makes __/8 of a boat per day will make 7 boats in 8 days
Answer:
7/8
Step-by-step explanation:
7 represents the # of boats
Answer:
7/8 of a boat
Step-by-step explanation:
Because 7/8*8= 7 boats
HELP PLEASEEEEEEEEEEEE
Answer:
Just a tip that you can use apps on the computer called Math-way and Math papa for free (Sorry i wasn't able to answer but I tried my best) Hope This helps!
Step-by-step explanation:
Please solve this I am sooo confused help meeeee please please please. I will give you 15 points.
Solve the system of the equations:
a.)
3(x+y)−7=12x+y
6(y−2x)−1=−45x
b.)
5(x+2y)−3=3x+5
4(x−3y)−50=−33y
c.)
4x+1=5(x−3y)−6
3(x+6y)+4=9y+19
Answer:
the answer is a
Step-by-step explanation:
Answer:
a. x=-1/3 y=2
b. x=-166 y=34
c. x=16/3 y=-1/9
Step-by-step explanation:
EASY POINTS!!!!! FIRST CORRECT ANSWER GETS 5 STARS PLUS A THANK YOU, AND MORE THAN 20 POINTS!!!
Answer:
D
Step-by-step explanation:
D, because it has infinite solutions, or both sides simplify down to 0.
Hope this helps!
The sum of three consecutive numbers is 42. What are the three numbers?
Answer:
13,14,15
Step-by-step explanation:
Let x be the first number
x+1 is the second number
x+2 = third number
x+ x+1 +x+2 = 42
Combine like terms
3x+3 =42
Subtract 3 from each side
3x+3-3 = 42-3
3x = 39
Divide each side by 3
3x/3 = 39/3
x = 13
The numbers are 13
13+1 =14
13+2 = 15
Answer:
13,14,15
Step-by-step explanation:
What three consecutive integers have a sum of 42? Which means that the first number is 13, the second number is 13 + 1 and the third number is 13 + 2. Therefore, three consecutive integers that add up to 42 are 13, 14, and 15.
What is the probability of rolling a number greater than 4 on a fair number cube (dice)? (Simplify to lowest terms)
Answer:
1/3
Step-by-step explanation:
there are 2 numbers greater than 4 on dice and there are 6 numbers on a die
Can someone help me PLS :)
The graph of an exponential function is shown below.
Which of the following is not true about the graph?
A. The y-intercept is 3.
B. The asymptote is y = 0.
C. The graph represents exponential growth.
D. The initial value of the function is 3.
Answer:
C
Step-by-step explanation:
The graph in this case represents exponential decline.
What expression is equivalent to 5/2
Answer:
2 1/2
You didnt give us any option or choices
Step-by-step explanation:
I would like to help but there is no choices
2=1/4 4+ b how do I find the y intercept?
Answer:
you intercept 2 with the 46721
Step-by-step explanation:
2=64=1/4/5_=24
Find the circumference of both circles.
Answer:
you need to add a photo
Step-by-step explanation:
Answer:
Where are the circles?
Step-by-step explanation:
To find the circumference of the circle you can do 2 times pi times the radius of the circle, or you can change the radius to the diameter and do pi times the diameter of the circle. Hope this helps!
You are going to use an incline plane to lift a heavy object to the top of a shelving unit with a height of 6 ft. The base of the incline plane is 10 ft from the shelving unit. What is the length of the incline plane?
To determine the length of an inclined plane given the height (6 ft) and base (10 ft), use the Pythagorean theorem, which reveals that the length of the inclined plane is approximately 11.66 feet.
Explanation:The student is asking about the length of an inclined plane when given the height and the base of the incline. To find the length of the inclined plane, we can use the Pythagorean theorem because the height, base, and the length of the incline form a right triangle.
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, the hypotenuse is the length of the incline, the vertical side is the height of the shelving unit (6 ft), and the horizontal side is the base of the incline (10 ft).
The formula is: length of the incline2 = height2 + base2. Plugging in the numbers, we get: length of the incline2 = 62 + 102, which simplifies to length of the incline2 = 36 + 100. The square root of 136 gives us the length of the incline, which is approximately 11.66 feet.
Two brownies are shared equally among three friends. How much brownie will each person get? *
Two brownies among three friends.
3/2 is 1.5
So 1.5 for the first friend, 1.5 for another friend, and 1.5 for the other friend.
Can somebody help me with the next question
Yep, sure. Which question?
Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each side to answer the question.
Which statement about triangle QRS is true?
Triangle QRS is an equilateral triangle because QR = RS.
Triangle QRS is an isosceles triangle because QR = QS.
Triangle QRS is a scalene triangle because all sides have different lengths.
Triangle QRS is an isosceles triangle because QR = RS.
Answer:
Triangle QRS is an isosceles triangle because QR = RS.
Step-by-step explanation:
option D for Edgu hope this helps :)
The length of the given triangle: [tex]QR = 6.003, QS = 8.218, RS = 6.003[/tex].
The given triangle QRS is an isosceles triangle because [tex]QR = RS[/tex].
What is an isosceles triangle?An isosceles triangle is a triangle that has two equal sides.
In the given triangle, the length of the sides are as follows:
[tex]QR = \sqrt{9 + 27.04} = \sqrt{36.04} = 6.003[/tex]
[tex]QS = \sqrt{64 + 3.53} = \sqrt{67.53} = 8.218[/tex]
[tex]RS = \sqrt{25 + 11.04} = \sqrt{36.04} = 6.003[/tex]
(Negative values are not taken)
In the given triangle, [tex]QR = RS[/tex].
Therefore, the given triangle QRS is an isosceles triangle.
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Select the two pairs of values that give the expression a value of 6.
2a + b - 10
Answer:
2a + b = 16
Step-by-step explanation:
You can write it as an equation and get:
2a+b-10=6
Simplify and you can get:
2a + b = 16
Any pair of values that satisfies this equation is correct.
4.
In Texas, sales tax is 8 cents for every dollar spent. How much will you
owe in sales tax if you buy an item worth $100?
Answer:
It will be $8
Step-by-step explanation:
100x0.08=8
100+8=108
Answer:
$8
Step-by-step explanation:
we mulitiply $0.08 by our money spent,
$0.08X$100
=$8 in sales tax.
Please Help ASAP!!!
Question in image below.