Amber and Will are in line together to buy tickets. Amber moves back by 3 place three times to talk to friends. She was invited to 5 place up in line. Will moved back by 4 place twice, and then moved up in line by 3 place. Overall, who moved farther back in line
there are 10 less red skittles than orange Skittles in a bag. The orange Skittles are also twice the number of red skittles. Find the number of red and orange Skittles in the bag.
Answer: there are 20 orange skittles and 10 red skittles in the bag.
Explanation:
Since we have given that
Let the number of red skittles be x
Let the number of orange skittles be 2x
According to question,
[tex]2x-x=10\\x=10[/tex]
So, there are 10 red skittles in the bag and
The number of orange skittles in the bag is given by
[tex]2x=2\times 10=20[/tex]
Hence, there are 20 orange skittles and 10 red skittles in the bag.
The number of red and orange Skittles in the bag are;
I. Red skittles, R = 10
II. Orange skittles, S = 20
Let the orange skittles be denoted by S.Let the red skittles be denoted by R.To find the number of red and orange Skittles in the bag;
Translating the word problem into a mathematical (algebraic) expression, we would have;
[tex]R = S - 10[/tex] ....equation 1.
[tex]S = 2R[/tex] ....equation 2.
Substituting eqn 2 into eqn 1, we have;
[tex]R = 2R - 10\\\\2R - R = 10[/tex]
Red skittles, R = 10
To find the number of orange skittles;
[tex]S = 2[/tex] × [tex]10[/tex]
Orange skittles, S = 20
Read more: https://brainly.com/question/20758742
what is a rule for the function represented by (0,2/19) (1,1 2/19) (2,4 2/19) (3, 9 2/19) (4, 16 2/19) (5, 25 2/19)
Final answer:
The rule for the function with the given points is f(x) = x^2 + 2/19, as derived from observing the relationship between x-values and their corresponding y-values where the y-values increase by the square of the x-value with a constant fractional part of 2/19.
Explanation:
To find the rule for the function represented by the set of points given, we need to look for a pattern in the y-values relating to the x-values. The provided points are (0,2/19), (1,1 2/19), (2,4 2/19), (3, 9 2/19), (4, 16 2/19), and (5, 25 2/19). Observing the differences between the y-values, it appears that the fractional part remains constant at 2/19, whereas the whole number part increases by the square of the x-value. Therefore, we can express the function rule as f(x) = x2 + 2/19.
Let's verify this by substituting the x-values from the points into our proposed rule:
f(0) = 02 + 2/19 = 2/19f(1) = 12 + 2/19 = 1 2/19f(2) = 22 + 2/19 = 4 2/19f(3) = 32 + 2/19 = 9 2/19f(4) = 42 + 2/19 = 16 2/19f(5) = 52 + 2/19 = 25 2/19As we can see, the values match perfectly, confirming that the rule of the function is indeed f(x) = x2 + 2/19.
You have a stack of pennies without counting the pennies, how can you know if there is a odd or even number of them
Suppose that you have a stack of pennies. If you want to know without counting whether there is an odd or even number of pennies, then you have to split them into two parts, for example, placing one coin left and one coin right.
If the number of pennies is even, then no coins will left, if the number is odd, then one coin will be extra.
use properties to find 4 times 23 times 25
Answer:
2300
Step-by-step explanation:
A horse is 45 pounds more than six times its rider's weight. If they weigh a total of 710 pounds, how much does the horse wiegh?
The horse weighs 615 pounds.
Explanation:Let's assume the rider's weight is x.
The horse's weight is 6 times the rider's weight plus 45 pounds: 6x + 45.
The total weight of the horse and rider is 710 pounds: 6x + 45 + x = 710.
Combining like terms: 7x + 45 = 710.
Subtract 45 from both sides: 7x = 665.
Divide both sides by 7: x = 95.
So, the rider weighs 95 pounds.
Substitute x = 95 back into the equation to find the horse's weight: 6(95) + 45 = 570 + 45 =
The horse weighs 615 pounds.
To solve this problem, we will set up an equation where [tex]\( h \)[/tex] represents the horse's weight and [tex]\( r \)[/tex] represents the rider's weight. According to the problem:
1. The horse's weight is 45 pounds more than six times the rider's weight, so we can express this as:
[tex]\[ h = 6r + 45 \][/tex]
2. The total weight of the horse and the rider is 710 pounds, so we have:
[tex]\[ h + r = 710 \][/tex]
Now we have a system of equations:
[tex]\[ h = 6r + 45 \][/tex]
[tex]\[ h + r = 710 \][/tex]
We can substitute the first equation into the second to solve for \( r \):
[tex]\[ (6r + 45) + r = 710 \][/tex]
[tex]\[ 7r + 45 = 710 \][/tex]
Now, we solve for[tex]\( r \)[/tex]:
[tex]\[ 7r = 710 - 45 \][/tex]
[tex]\[ 7r = 665 \][/tex]
[tex]\[ r = \frac{665}{7} \][/tex]
[tex]\[ r = 95 \][/tex]
Now that we have the rider's weight, we can find the horse's weight:
[tex]\[ h = 6r + 45 \][/tex]
[tex]\[ h = 6 \times 95 + 45 \][/tex]
[tex]\[ h = 570 + 45 \][/tex]
[tex]\[ h = 615 \][/tex]
A school has 90 children. During the day each child attends 4 classes. Each class has 15 children and 1 teacher. During the day each teacher teaches 3 classes. What is the smallest number of teachers the school can have.
Last year a baseball team pay $20 per bag $12 glove, spending a total of $1,040. This year the price went up to $25 per bat and $16 per glove. The team spent $1,350 to purchase the same amount of equipment as last year. How many bats and gloves does it take purchase each year?
a circle has its center at (-2,3) and a radius of 5. What is the equation for the circle?
I have only 2 right side and no line segments of equal length
how old am I if 500 reduced by 3 times my age is 230?
Jessie enjoys running everyday for excercise. On Monday, he ran 3.30 miles. On Tuesday, he ran 3.09 miles and on Wednesday he ran 2.98 miles. On what day did Jessie run the farthest?
Jessie ran the farthest on Monday when he ran 3.30 miles.
Explanation:To determine on which day Jessie ran the farthest, we need to compare the distances he ran on each day. Let's list the distances:
Monday: 3.30 milesTuesday: 3.09 milesWednesday: 2.98 milesFrom the list, we can see that Jessie ran the farthest on Monday when he ran 3.30 miles.
Learn more about running distance here:https://brainly.com/question/29012018
#SPJ2
what is the solution to r/-3 = 12
A scuba diver is swimming 15 feet below the water’s surface. The diver swims up slowly at 0.5 feet per second for 4 seconds; and then stops to look at an eel. Finally, the diver swims up for 3 more seconds at 0.4 feet per second. What is the diver’s new depth
Answer: The diver's new depth is 11.8 feet below the water's surface.
Step-by-step explanation:
Since we have given that
Depth below the water's surface = 15 feet
The diver swims up slowly at 0.5 feet per second for 4 seconds.
Number of miles he swims up is given by
[tex]0.5\times 4\\\\=2\ feet[/tex]
Number of miles he swims up for 3 more seconds at 0.4 feet per second.
So, Number of miles he swims up is given by
[tex]0.4\times 3\\\\=1.2\ feet[/tex]
So, the diver's new depth would be
[tex]-15+2+1.2\\\\=-15+3.2\\\\=-11.8\ feet[/tex]
Hence, the diver's new depth is 11.8 feet below the water's surface.
Which graph represents the solution set of the system of inequalities? {y≤2x+1y>−2x−3
we have
[tex]y\leq 2x+1[/tex] ------> inequality A
The solution of the inequality A is the shaded area below the solid red line
see the attached figure N [tex]1[/tex]
[tex]y>-2x-3[/tex] ------> inequality B
The solution of the inequality B is the shaded area above the dotted blue line
see the attached figure N [tex]2[/tex]
therefore
The solution of the system of inequalities is the shaded area between the solid red line and the dotted blue line
see the attached figure N [tex]3[/tex]
therefore
the answer in the attached figure N [tex]3[/tex]
An average person in the United States throws away 4.5 × 10² g of trash per day. In 2013, there were about 3.2×106 people in the U.S.
About how many grams of trash was thrown away in the United States in 2013?
5.3 × 10^__ g
Q3
Help pls.. urgent!
643=4 x 160+n write what n represents in the related division problem
A square piece of cheese covers 8 square inches of a plate. What is the approximate length of one side of the piece of cheese? (Approximate to the nearest hundredth inch.)
area of a square - S^2, where S is the length of a side
to find S when you know the area, take the square root
so S = sqrt(8)
S = 2.828
rounded to nearest hundredth = 2.83 inches
Gordon types 1800 words in 25 min how many words did he type per min
A container holds 70,000 ounces of water. There is a small leak in the container. Every 96 minutes, 1.5 ounces of water leaks out. Represent the total change in the amount of water in the container after 4 hours
What is the answer to Violet has 11 rolls of pennies there are 50 pennies in each roll how many pennies does violet have all together
The thickness of a surfboard relates to the weight of the surfer. A surfboard is 21/3/16 inches wide and 2/3/8 inches thick. Write each dimension as a decimal.
Answer: Each dimension would be 21.1875 inches and 2.375 inches respectively.
Step-by-step explanation:
Since we have given that
Width of a surfboard = [tex]21\dfrac{3}{16}\ inches[/tex]
Thickness of a surfboard = [tex]2\dfrac{3}{8}\ inches[/tex]
We need to rewrite each dimension as a decimal.
We first write it in improper fraction:
Width becomes
[tex]21\dfrac{3}{16}\\\\=\dfrac{339}{16}\ inches[/tex]
Thickness becomes
[tex]2\dfrac{3}{8}\\\\=\dfrac{19}{8}\ inches[/tex]
Now, we change it into decimal form:
[tex]\dfrac{339}{16}=21.1875\ inches\\\\and\\\\\dfrac{19}{8}=2.375\ inches[/tex]
Hence, each dimension would be 21.1875 inches and 2.375 inches respectively.
Which list is ordered from least to greatest?
A.
–5, –2.1, 0.3, 3.1
B.
0.3, –2.1, 3.1, –5
C.
–2.1, –5, 0.3, 3.1
D.
0.3, 3.1, –2.1, –5
List A. –5, –2.1, 0.3, 3.1, is ordered from least to greatest.
To determine which list is ordered from least to greatest, we need to compare the numerical values in each list and arrange them in ascending order. Here's a step-by-step explanation:
A. –5, –2.1, 0.3, 3.1B. 0.3, –2.1, 3.1, –5C. –2.1, –5, 0.3, 3.1D. 0.3, 3.1, –2.1, –5List A is properly ordered from least to greatest:
–5 is the smallest–2.1 is next0.3 comes after3.1 is the largestTherefore, the correct answer is: A
Each U.S. penny weighs 2.5 grams. How many pennies, x, are on a scale if their total weight is
37.5 grams?
Identify an equation that models the problem and find its solution.
Emily brought $35 to the fair. At the fair, she spent $16 on ride tickets and she also bought
lunch. She had $7 when she left the fair. How much did Emily spend on lunch?
what is 4x+13=(-8)-3x
Rudy has $200 to spend on presents for his family. If there are 6 people to buy for, and he wants to spend an equal amount on each, how much money will he have LEFT after he shops?
A)
$0.02
Eliminate
B)
$0.10
C)
$1.00
D)
$199.98
E)
$33.33
jake bought a shirt on sale for $80. The sale price of the shirt had been reduced by $40. What was the percent markdown on the shirt
An object is traveling at a steady speed of 8 2/3 mph how long will it take the object to travel 5 1/5 miles
It will take 36 minutes for an object to travel 5 1/5 miles at a steady speed of 8 2/3 mph.
To find out how long it will take an object traveling at a steady speed of 8 2/3 mph to travel 5 1/5 miles, you can use the formula
time = distance / speed.
First, convert the mixed numbers to improper fractions:
Speed: 8 2/3 mph = (8 × 3 + 2) / 3 = 26/3 mph
Distance: 5 1/5 miles = (5 × 5 + 1) / 5 = 26/5 miles
Next, calculate the time:
Time = Distance / Speed
= (26/5) miles / (26/3) mph
= (26/5) × (3/26) hours
= 3/5 hours
To convert hours into minutes, multiply by 60:
= 3/5 hours × 60 minutes/hour
= 36 minutes
Help ASAP with this questions.
Solve for b, i.e separate b in one side and the other terms in the other side
A = ah + bh
A - ah = bh
(A - ah) / h = b
[tex]b= \frac{A-ah}{h} [/tex]
I hope that helps!