Answer: The variable is the number of free throws and is modeled by an orange x tile. Making 4 more free throws is molded by 4 orange + tiles. The expression is x + 4.
Step-by-step explanation:
The algebraic expression that represents the situation should be x + 4.
Written of algebraic expression:SInce it is mentioned that Brielle made four more free throws.
So here the variable represents the no of free throws and should be modeled by an orange x title.
So, the algebraic expression should be x + 4
Hence, The algebraic expression that represents the situation should be x + 4.
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60.2 rounded to the nearest hundredth
To round 60.2 to the nearest hundredth, we need to look at the digit in the thousandth place, which is the second digit after the decimal point. If this digit is 5 or greater, we'll round up, and if it's less than 5, we'll round down. In this case, the digit in the thousandth place is 2, which is less than 5. So, when rounding 60.2 to the nearest hundredth, we round down to 60.20.
Explanation:To round 60.2 to the nearest hundredth, we need to look at the digit in the thousandth place, which is the second digit after the decimal point. If this digit is 5 or greater, we'll round up, and if it's less than 5, we'll round down.
In this case, the digit in the thousandth place is 2, which is less than 5. So, when rounding 60.2 to the nearest hundredth, we round down to 60.20.
Answer: 60.20
© 8 t-shirts and a hat costs £42.00
3 t-shirts and a hat costs £17.00.
How much does a t-shirt cost?
How much does a hat cost?
<
t-shirt: £
hat: £
Answer:
t-shirt: £5.00, hat: £2.00
Step-by-step explanation:
You can rewrite them into equations:
8t+h=42.
3t+h=17.
Then subtract the h from both equations using the elimination process.
8t-3t is 5t, and 42-17 is 25. The new equation is 5t=25, thus t=5. If we substitute the 5 into one of the other equations, we get h=2.
Answer:
T-shirt: £5
Hat: £2
Step-by-step explanation:
Use simultaneous equations elimination method for best results.
8t + h= 42
3t + h= 17
Subtract the two equations. h gets cancelled. 8t-3t= 5t. 42-17= 25.
5t= 25
t= 25÷5
t= £5
Substitute the value of t to give h.
8(5) + h=42
40+ h=42
h= 42-40
h= £2
Fencing is sold for $1.50 per foot at the garden store. Shawn needs 24 feet of fence for his new puppy's yard. How much will the fence cost?Immersive Reader
Answer:
$36
Step-by-step explanation:
1.5 × 24 = 36
Hope this helps!
-MoCKEry
A geometric sequence follows________
A.an exponential pattern
B.a linear pattern
C.a quadratic pattern
D.no pattern
A geometric sequence follows an exponential pattern, where each term is found by multiplying the previous term by a constant called the common ratio. Therefore, the answer is A. An Exponential Pattern.
A geometric sequence follows an exponential pattern. This means that each term in the sequence is found by multiplying the previous term by a constant called the common ratio. For example, in the sequence 2, 6, 18, 54, the common ratio is 3. Here, each term is obtained by multiplying the previous term by 3.
To clarify, when we say a sequence follows an exponential pattern, it means the terms grow at a rate that involves doubling, tripling, or multiplying by any fixed number, rather than adding or subtracting a fixed amount as in linear patterns or changing according to a square as in quadratic patterns. This type of pattern can be represented by the formula:
a, ar, ar², ar³,...
where a is the first term and r is the common ratio. Understanding that geometric sequences follow an exponential growth pattern helps in solving various mathematical problems related to population growth, finance, and more.
A baker purchases flour each week from a wholesale warehouse. The chart shows the quantities and prices available this week. If the best deal last week for flour was $1.60 per pound. What is the difference between the unit price for last week's best deal and this week's best deal?
The chart showing the quantities and prices is;
Best Deal 1
Quantity of Flour Price
3 pounds $5.25
5 pounds $9.75
7 pounds $12.60
10 pounds $14.20
12 pounds $18.24
Answer:
difference between last weeks best deal = $0.3
Step-by-step explanation:
Let's calculate the unit price for each of the quantities in the chart.
For quantity of 3 pounds;
We have; unit price = 5.25/3 = $1.75
For 5 pounds;. Unit price = 9.75/5 = $1.95
For 7 pounds; unit price = 12.6/7 = $1.8
For 10 pounds; unit price = 14.2/10 = $1.42
For 12 pounds; unit price = 18.24/14 = $1.3
Thus, last weeks best deal is the lowest = $1.3
Thus; difference between last weeks best deal is given as;
= this weeks best deal - last weeks best deal
This gives;
$1.6 - $1.3 = $0.3
Answer:
0.18
Step-by-step explanation:
mia wants to earn 2500 in her job at a bycicle store she is paid 55 for every bycicle she tunes up the minimum number of bycicles mia needs to tune up to reach her goal of 2500
Mia needs to tune up at least 46 bicycles at $55 each to reach her goal of $2500, as she cannot tune up a fraction of a bicycle.
To calculate the minimum number of bicycles Mia needs to tune up to reach her goal of $2500, we must divide her goal amount by the amount she earns per bicycle. Thus, the calculation is as follows:
Number of bicycles = Total goal amount / Earnings per bicycle
Number of bicycles = $2500 / $55
When we divide 2500 by 55, we get approximately 45.4545. Since Mia cannot tune up a fraction of a bicycle, she will need to tune up a whole number of bicycles. Therefore, she needs to tune up at least 46 bicycles to reach or exceed her goal of $2500.
find the perimeter of the figure to the nearest hundredth.
Answer:
I think it's 640 i may be wrong or its 40.
Step-by-step explanation:
when finding the perimeter you just add up the outsides of the shape.
Answer:
90.24 mm
Step-by-step explanation:
Perimeter of the figure
[tex] =(20 + 20 ) + \frac{1}{2} \times 2\pi \: r \\ = (40 ) + 3.14 \times 16 \\ = 40 + 50.24 \\ = 90.24 \: mm[/tex]
Ana played 4 rounds of golf and then played her lowest round of golf with a score of 80 The scores of the first 4 round and the lowest round start
Answer:
Step-by-step explanation:
6
Answer:
c
Step-by-step explanation:
if the interest earned is $750 and the interest rate is 12.5% and the time is 4 years what is the principal
Answer:
There would be : 750 x (1 + 12.5/100)^4 = 1201.35 dollar after 4 years, with the earning is 750$ and interest rate is 12.5%.
Answer:
$1,500
Step-by-step explanation:
Interest = P × 12.5/100 × 4
750 = P × 0.5
P = 1500
Two parallel lines are cut by a transversal and angles 1 and 7 are alternate exterior angles. If angle 1 measures 120 degrees , how does angle 7 compare with angle 1?
A.Angle 7 is supplementary with angle 1
B.Angle 7 and angle 1 are congruent.
C.The angles cannot be compared.
Answer: B.Angle 7 and angle 1 are congruent.
Step-by-step explanation:
Alternate angles means that the angles are formed on the alternating sides of the transversal. The term "exterior" means that the alternate angles are formed outside the parallel lines.
Since the parallel lines are cut by a transversal and angles 1 and 7 are alternate exterior angles, it means that angles 1 and 7 are equal or congruent. This is because of the rule in geometry stating that two alternate exterior angles are congruent. Therefore, the correct option would be
B. Angle 7 and angle 1 are congruent.
Answer: The correct option is B; Angle 7 and angle 1 are congruent
Step-by-step explanation: Please refer to the picture attached for more details. The parallel lines AB and CD have been drawn and a transversal line have also been drawn to cut both lines as shown in the picture.
Since both lines are parallel, the angles formed by the transversal would be equal.
A careful observation would show that the interior angle formed by the transversal (which is the supplement of angle 120), is equal or congruent to the interior angle formed at angle 7. These are commonly referred to as "z angles" by virtue of the shape formed. Angle 1 and angle 7 are the exterior alternate angles formed by the transversal and they are both congruent, that is, they both have the same measurement.
The angles cannot be described as supplementary, because supplementary angles add up to 180 degrees. That is, if angle A plus angle B equals 180, then angles A and B are both supplementary. This does not apply to angle 1 and angle 7.
The sum of the first
6
66 terms of a geometric series is
15
,
624
15,62415, comma, 624 and the common ratio is
5
55.
What is the first term of the series?
Answer:
The first term of the series is 4
Step-by-step explanation:
The sum of the first 6 terms of a geometric series is 15 , 624 and the common ratio is 5 .
To find the first term, we use the formula for the sum of terms in a geometric series.
Since the common ratio of the series is greater than 1, the sum of [tex]n^{th}[/tex] term of the geometric series is;
[tex]S = \frac{a(r^n - 1)}{r - 1}[/tex]
where r = common ratio
a = first term
When S = 15,624, r = 5 and n = 6, the first term, a, will be:
[tex]15624 = \frac{a(5^6 - 1)}{5 - 1} \\\\15624 = \frac{a(15625 - 1)}{4}\\\\15624 = \frac{a(15624)}{4}\\\\a = \frac{4 * 15624}{15624}[/tex]
a = 4
The first term of the series is 4.
A lab technician made a 14 cm diameter hole through the middle of a cylinder that has a diameter of 20 cm and a height of 28 cm. What is the approximate volume of the finished cylinder, to the nearest tenth of a centimeter
Answer:
The volume of the finished cylinder is [tex]4486.2 m^3[/tex]
Step-by-step explanation:
To find the volume of the finished cylinder, we have to first find the volume of the hole (with 14 cm diameter and a height of 28 cm) and subtract it from the volume of the original cylinder (with diameter of 20 cm and a height of 28 cm).
Note: The hole is also cylindrical in shape.
The volume of a cylinder is given as:
[tex]V = \pi r^2h[/tex]
where r = radius, h = height
VOLUME OF THE HOLE
The diameter of the hole is 14 cm, hence, its radius is 7 cm (14 / 2 = 7)
Its volume is:
[tex]V = \pi *7^2 * 28\\V = 4310.3 m^3[/tex]
VOLUME OF THE ORIGINAL CYLINDER
The diameter of the cylinder is 20 cm, hence, its radius is 10 cm (20 / 2 = 10)
Its volume is:
[tex]V = \pi *10^2 * 28\\V = 8796.5 m^3[/tex]
Hence, the volume of the finished cylinder will be:
[tex]8796.5 - 4310.3 = 4486.2 m^3[/tex]
The volume of the finished cylinder is [tex]4486.2 m^3[/tex]
The data set is a list of the heights of 6th grade basketball players: 60, 62, 66, 70, 66, 68, 67, 64, 64, 63. Find the mean of the set.
Answer:
65
Step-by-step explanation:
The mean is 65 because
Step one- Add up 60, 62, 66, 70, 66, 68, 67, 64, 64, 63 together to get 650.Step two- Next you need to divide. since there are 10 numbers that we added up we have to take 650 and divide it by 10. so 650/10=65Finally your answer is 65Hope this helped :)a ladder 13m long is placed on the ground in such a way that it touches the top of a vertical wall 12m high. find the distance of the foot of the ladder from the bottom of the wall
Answer:
by applying Pythagoras theorem;
the ladder(13m) acts as hypotenuse
the wall (12m) acts as height
the distance between the the two is the base
therefore
a² + b² = c²
b²= c²- a²
b²= 169 - 144
b² = 25
√b² = √25
b= 5m
the distance is 5m
(x-4) (x - 4) =
x^2 -8x - 16
Ox^2+8x +16
Ox^2-8x+ 16
Ox^2-8x-16
A person places $5540 in an investment account earning an annual rate of 2.5%,
compounded continuously. Using the formula V = Pent, where V is the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and ris the rate of interest, determine the amount of money, to the
nearest cent, in the account after 20 years.
Answer:
$9,133.92
Step-by-step explanation:
V = P*e^(rt)
V = $5540 * e ^ (0.025*20)
V = 5540 * e^(0.5)
V = 5540 * 1.648721
V = $9,133.9158
about $9,133.92
Final answer:
The amount of money in the account after 20 years with continuous compounding at an annual rate of 2.5% is approximately $9138.13.
Explanation:
To calculate the amount of money in an investment account after 20 years with continuous compounding, we use the formula V = Pe^rt, where:
P is the principal amount ($5540),
e is the base of the natural logarithms (approximately 2.71828),
r is the annual interest rate (2.5% or 0.025 as a decimal), and
t is the number of years the money is invested (20 years).
Plugging these values into the formula, we get:
V = $5540 × e^(0.025 × 20)
Using a calculator with the capability to compute e raised to a power, we find:
V ≈ $5540 × 2.71828^0.5
V ≈ $5540 × 1.64872
V ≈ $9138.13
Hence, the value of the investment after 20 years, to the nearest cent, is approximately $9138.13.
Clint wants to wrap a present. He placed the gift in a rectangular box measuring 12 in x 3 in x 6 in. How much wrapping paper did he use?
Answer:
she use 216 ft of wrapping paper i think
Eric put several CD's in a case. Four CDs are country, six are rap and ten are pop. If Eric picks one CD from the case without looking, what is the probability that he will pick a country CD?
Probability that Eric will pick a country CD is 0.2.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
Number of CD's which are country = 4
Number of CD's which are rap = 6
Number of CD's which are pop = 10
Total number of CD's = 4 + 6 + 10 = 20
Probability = Number of likely outcomes / Total number of outcomes3
Probability of getting country CD = 4 / 20
= 1/5
= 0.2
Hence the required probability is 0.2.
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Find angles b,c and d
Answer:
B = 73°, c = 107°, d= 107°
Step-by-step explanation:
[tex]b + 107 \degree = 180 \degree..(straight \: line \: \angle s) \\ b = 180 \degree - 107 \degree \\ \huge \red{ \boxed{b = 73 \degree}} \\ \\ \huge \purple{ \boxed{c = 107 \degree }}\\..(vertical \: \angle s) \\ \\ \huge \orange{ \boxed{d = 107 \degree }}\\..(corresponding \: \angle s) \\ \\ [/tex]
George and Cameron went on a bicycle trip they took a bus to the starting point they bought the rest they traveled 350 km in total and they bite 80 km more than they were biased how many kilometers are they travel by bike
Answer:
215
Step-by-step explanation:
We assume that the "starting point" is the starting point for the entire trip, including bus travel.
If B is distance traveled by Bus, and "b" is distance traveled by bike, then we seem to have ...
B + b = 350
b -B = 80
Adding these two equations gives ...
2b = 430
b = 215
They traveled 215 km by bike.
The Haskins family spends $600 per month on groceries for their family. If this is 15% of their monthly budget, , then what is their monthly budget?
Hi
15/100 = 600 / X
X = 600 *100 /15 = 4000
monthly budget =4000
Answer:
Their monthly budget is $600
Please I need help ASAP!!
Answer:
I think 3%
Step-by-step explanation:
Hope this helps:)
Answer:
33.3%
Step-by-step explanation:
I had answered another question first. This is the answer for this problem. Sorry!
hope this helps :)
what is the value of 8 plus (27 divided by 9) power of two
Answer:
8+ (27/9)2 = 17
what is the area of a semicircle with a diameter of 21.5
Area of a circle = PI x R^2
r = 1/2 diameter
r = 21.5/2
r = 10.75
Area of circle = 3.14 x 10.75^2 = 3.14 x 115.5625 = 362.86625 square units.
A semicircle is half a circle:
Area of semicircle = 362.86625 / 2 = 181.433125 square units (round the answer as needed).
Please help need it I can really use it!
Answer:
B
Step-by-step explanation:
The highest MOC is 4 in group A but in group B the MOC is 3. So group A has one more dot than group B.
Find the volume of the cylinder.
Either enter an exact answer in terms of or use 3.14 for pi. with a radius of 4 and a height of 10
HELP PLEASE!!!!
Melissa spent 5 quarters on ice cream. The next day, she spent 13 nickels on candy bar. How much money did Melissa spend?
Answer:
Melissa spent $1.90
Step-by-step explanation:
Each quarter is 25 cents. If you have 5 quarters, that would be 25 times 5. And each nickel is 5 cents, so if you have 13 nickels, then you would multiply 5 by 13. Then to get the total amount spent you would have to add the quarters and nickels. which would be 125 and 65. Every 100 is a dollar. so it would be 190, or $1.90.
Answer:
1.90
Step-by-step explanation:
A bag contains 18 small red, 19 small black, 13 large black, and 15 large red T-shirts, and nothing else. What is the least number of T-shirts Alpa must take out of the bag (without looking at them) to be absolutely sure of having at least two T-shirts among them that differ only by size or only by color?
Alpa must take out five T-shirts in order to be absolutely sure of having at least two T-shirts that differ only by size or by color.
Explanation:The subject of this question is a probability problem, which falls under the domain of Mathematics, more specifically combinatorics. In scenarios such as this, we want to ensure we have at least two T-shirts that only differ by size or color. To guarantee this, Alpa must select one T-shirt of each color and size first. That means she must take out four T-shirts: a red small, a red large, a black small, and a black large. For the fifth T-shirt that she takes out, it will either be the same color as one she already has but different in size or it will be the same size as one she already has but a different color. So, the least number of T-shirts Alpa must take out of the bag in order to be absolutely sure of having at least two T-shirts among them that differ only by size or color is five.
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32 slices from 4 cakes = slices from 5 cakes
If 4 cakes make 32 slices, one cake will make [tex]\frac{32}{4}[/tex] = 8 slices. Therefore, 5 cakes will make (8 x 5) = 40 slices.
Answer:
You can get 40 slices from 5 cakes because each cake has 8 slices in it.
Step-by-step explanation:
Trip uses 3.175 liters of water to make
slime. How many milliliters of water does he
use to make the slime?
Answer:
3,175 milliliters
Step-by-step explanation:
There are 1,000 milliliters in a liter, therefore you must use the equation
3.175(1,000), which gives you 3,175 milliliters of water
Answer:
I think 3,175 milliliters in volume if that's what u are looking for
Step-by-step explanation: I converted 3.175 liters to milliliters.