What is the value of 4+(8*2)-3+5
You have 24 feet of fence to make a rectangular garden. Each side will measure a whole number of feet. How many different-sized rectangular gardens can you make?
how many 1/4 pound hamburgers can you make from 3 1/2 pounds of ground beef
On a certain spring day with 12 hours of daylight, the light intensity I takes on its largest value of 610 calories/cm^2 at midday. If t = 0 corresponds to sunrise, find a formula I = a sin bt, where t is in hours and a is in calories/cm2, that fits this information.
what is the factors of 10
Answer: 1, 2, 5, and 10
Step-by-step explanation: To find the factors of 10, begin by dividing 10 by 1 which gives us 10. This tells us that 1 and 10 are factors of 10. Next, divide 10 by 2 which gives us 5. This tells us that 2 and 5 are also factors of 10. Next, divide 10 by 3. Notice that 10 doesn't divide evenly by 3 so 3 is not a factor of 10. Next, divide 10 by 4. Since 10 doesn't divide evenly by 4, then 4 is not a factor of 10. Next, divide 10 by 5 which gives us 2. This tells us that 5 and 2 are factors of 10 but notice that we already know that 5 and 2 are factors of 10. This means that 5 and 2 are repeat factors.
There is no need to repeat factors that we already know. In fact, as we are writing the factors of a number, it's important to understand that once we hit repeat factors, all other factors that we try will also repeat.
So here, dividing by anything greater than 5 will give us factors that we already know so we can stop here.
This means that the factors of 10 are 1, 2, 5, and 10.
A gym membership costs $25 to join and $14 each month. What is an algebraic expression to find the cost of the membership for 6 months
Taylor is building doghouse to see. Each doghouse requires 4 full sheets of plywood which Taylor cuts into new shapes. The plywood is shipped in bundles of 13 full sheets. How many doghouses can Taylor make from 16 bundles of plywood
An executive invests $23,000, some at 8% and the rest at 7% annual interest. If he receives an annual return of $1,800, how much is invested at each rate
To solve this problem, we can set up an equation using the amount invested at each rate. Solving the equation will give us the amount invested at 8% and 7%.
Explanation:To solve this problem, let's assume that the amount invested at 8% is x dollars. Therefore, the amount invested at 7% would be (23000 - x) dollars. Now we can set up an equation to represent the given information:
0.08x + 0.07(23000 - x) = 1800
Solving this equation will give us the amount invested at each rate.
0.08x + 0.07(23000 - x) = 1800
0.08x + 1610 - 0.07x = 1800
0.01x = 1800 - 1610
0.01x = 190
x = 190 / 0.01
x = 19000
Therefore, $19000 is invested at 8% and $4000 (23000 - 19000) is invested at 7%.
To solve the problem, set up a system of equations using x and y as variables to represent the amounts invested at 8% and 7%. Solve the system to find x and y. The amount invested at 8% is $19,000 and the amount invested at 7% is $4,000.
Explanation:To solve this problem, we can set up a system of equations. Let x represent the amount invested at 8% and y represent the amount invested at 7%. The total amount invested is $23,000, so we have the equation x + y = 23,000. The total return is $1,800, so we have the equation 0.08x + 0.07y = 1,800. We can solve this system of equations to find the values of x and y.
By substitution, we can solve for x:
x + y = 23,000
x = 23,000 - y
Substituting this into the second equation:
0.08(23,000 - y) + 0.07y = 1,800
1,840 - 0.08y + 0.07y = 1,800
-0.01y = -40
y = 4,000
Substituting the value of y back into the first equation, we can find x:
x + 4,000 = 23,000
x = 19,000
So, $19,000 was invested at 8% and $4,000 was invested at 7%.
A wheel has 22 spokes evenly distributed around the rim of the wheel. What is the measure, in radians, of the central angle formed by adjacent pairs of spokes?
To find the radian measure between adjacent spokes of a wheel, you divide 2π by the number of spokes. In this case, the wheel has 22 spokes, leading to a radian measure of approximately 0.286 radians for the angle between adjacent spokes.
Explanation:The topic of the question pertains to geometry and radian measures. In a full circle, there are 2π radians. If a wheel has 22 spokes, each spoke defines a section of the circle equally. So, you would divide 2π by 22 to determine the measure, in radians, of the central angle formed by adjacent pairs of spokes.
Step-by-step calculation: The formula for calculating this is 2π/n, where n is the number of sections (or spokes). Therefore, the radian measurement of the angle between adjacent spokes would be 2π/22 = 0.286 radians when rounded up.
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x divided by 7 equals 12
Solve For x
The depth finder on a fishing boat gives readings that are within 5% of the actual water depth. when the depth finder reading is 250 feet, the actual water depth x lies within a range given by an inequality.
Identify which shapes are similar to shape A and which are not.
To determine which shapes are similar to shape A, we must evaluate the pattern, repetition, and geometrical structure, while understanding the differences in geometrical and organic forms.
Explanation:When identifying shapes similar to shape A, we must look at the pattern and repetition of the figures while noting the differences. Shapes that are similar will have proportionally equivalent angles and sides, despite potential differences in size. We analyze the given shapes by comparing their properties such as angles, sides, and overall geometrical structure.
In a more complex composition, identifying positive and negative shapes can be challenging due to the presence of implied shapes that are created by the arrangement of other shapes or colors around them. Therefore, an in-depth inspection is needed to determine similarity.
Lastly, it is necessary to understand that shapes can be geometric, like circles and squares, or organic, which are more freeform and less regular. When comparing shapes to shape A, recall that similar shapes must relate in the ways mentioned, despite their geometric or organic nature.
can someone pls help
when x =1 , y = 3
when x = 3, y =27
27-3 = 24
3-1 = 2
24/2 = 12
rate of change = 12
The sum of two consecutive odd integers is −236. Find the two integers
a professional baseball team was 84 games this season. the team won 14 more games that it lost. how many games did the team lose? how did it play?
I can type 225 minutes in 5 minutes.at that speed,how many words can I type
Roger sells fire trucks and dolls to a toy store. He sells each fire truck for $15 and each doll for $10. Roger wants to sell at least 25 toys and needs to earn at least $300 to cover his costs. If each fire truck takes 50 minutes to make and each doll takes 45 minutes to make, how many fire trucks and dolls should Roger make to minimize the time spent making the toys.
Answer:
this is the correct answer for plato (Roger should make 10 fire trucks and 15 dolls in order to minimize the time spent making toys.)
Step-by-step explanation:
Answer:
Number of Fire trucks made= 10.
Number of Dolls made = 15
Step-by-step explanation:
Let x denote the number of fire trucks made.
and y denote the number of dolls made.
Now we are given:
Roger wants to sell at least 25 toys .Hence, the inequality that can be made from this information is:
[tex]x+y\geq 25[/tex]
Also,He sells each fire truck for $15 and each doll for $10.
He needs to earn at least $300 to cover his costs.
The inequality that can be made from this piece of information is:
[tex]15x+10y\geq 300[/tex]
Also,
x≥0
and y≥0
Each fire truck takes 50 minutes to make and each doll takes 45 minutes to make.
Now we are asked to minimize the time function let it denote by 'z'.
Hence, the system that is formed is:
Optimization function Min. z=50x+45y
subject to x+y ≥ 25[/tex]
and 15x+10y ≥ 300[/tex]
Non-negative constraint x ≥ 0
y ≥ 0
Now on solving the constraints we get the boundary points as:
(25,0) , (0,30) and (10,15)
Hence, the optimal solution is checked at these points.
(25,0) z=1250
(0,30) z=1350
(10,15) z=1175
Hence, the minimal time spent is: 1175 minutes.
Number of Fire trucks made= 10.
Number of Dolls made =15
write in simplest form -0.122
How could you represent the division as a fraction if 5 peopld shared 2 blocks if 6 people shared 5 blocks
the distance from the earth to the Sun is approximately 9.3×10^7 miles. if light travels 1.2×10^7 miles in 1 minute, how many minutes does it take the light from the sun to reach the earth ?
It takes approximately 12.47 minutes for light from the Sun to reach the Earth.
Explanation:To find out how many minutes it takes for light from the Sun to reach the Earth, we can divide the distance from the Earth to the Sun by the distance light travels in 1 minute.
First, let's convert the distance from miles to kilometers. 1 mile is approximately 1.60934 kilometers, so the distance from the Earth to the Sun is approximately 1.496 × 108 kilometers.
Now, we divide this distance by the distance light travels in 1 minute: 1.496 × 108 kilometers / 1.2 × 107 kilometers per minute = 12.47 minutes.
Therefore, it takes approximately 12.47 minutes for light from the Sun to reach the Earth.
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the length of a rectangle is six times its width if the perimeter of the rectangle is 126 cm find its area
The area of the rectangle is 567 cm².
What are the dimensions of the rectangle?Length = 6w Width = wPerimeter = 2(6w + w) = 126
6w + w = 126/2
7w = 63
w = 9 cm
Length = 6 x 9 = 63
What is the area of the rectangle?Area = length x width
63 x 9 = 567 cm²
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The shanghai maglev train is one of the fastest trains in the world, traveling about 2144 miles in 8 hours. How many miles does it travel in one hour? The distance between columbus ohio and new york city is about 560 miles.how many hours would it take the train to travel between the cities
Answer:
The train travels 268 miles in 1 hour. It would take 2.0896 hours to travel between the cities.
Step-by-step explanation:
Consider the provided information.
The shanghai maglev traveling about 2144 miles in 8 hours.
This can be written as:
2144 miles = 8 hours
Divide both sides by 8.
2144/8 miles = 8/8 hours
268 miles = 1 hours
Thus, the train travels 268 miles in 1 hour.
The distance between Columbus Ohio and new York city is about 560 miles. We need to find how many hours would it take the train to travel between the cities.
268 miles = 1 hours
Divide both the sides by 268.
1 miles = 1/268 hours
Now multiply both sides by 560.
560 miles = 560/268 hours
560 miles = 2.0896 hours
Hence, it would take 2.0896 hours to travel between the cities.
The ratio of the number of fiction books to the number of reference books in a library is 9:5. What is the fraction of the books are reference books?
-10 = x -1 please answer this question, the x is the unknown number
Bills weight is 48 kilograms. This is 10 grams more than one half his fathers weight. What is the fathers weight?
Bills father weight is 76 kilograms.
Here,
Bills weight is 48 kilograms. This is 10 grams more than one half his fathers weight.
We have to find, Bills father weight.
What is Linear expression?
Linear Equations deal with Equations with linear expression in one or two variables . Such Equations are known as Linear Equations.
Now,
Let Bills father weight is x kilograms.
According to given condition,
Bills weight is 48 kilograms. This is 10 grams more than one half his fathers weight.
⇒ [tex]\frac{x}{2} + 10 = 48[/tex]
⇒ [tex]\frac{x}{2} = 48 - 10[/tex]
⇒ [tex]\frac{x}{2} = 38[/tex]
⇒ [tex]x = 76[/tex]
Hence, Bills father weight is 76 kilograms.
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4. Tina wants to secure sequins on a piece of felt shaped like a rectangle with a length of 10 cm and width of 21 cm. What is the cost of all the sequins if sequins cost $0.70 per of coverage?
a. $21.70 b. $43.40 c. $73.50 d. 147.00
Answer:d. 147.00
Step-by-step explanation:
Area of sequins required is equal to the area of the rectangle.
Length of rectangle is 10cm and width is 21 cm.
Area of rectangle = length x width.
= 10 x21 =210 square cm.
Cost of sequins = 210x0.70= $147.00.
Option d $147.00 is the right answer.
please explain step by step for 0.67÷0.3=?
What is the value of b?
A 76
B 106
C 120
D 224
Answer:
The correct option is C. 120°
Step-by-step explanation:
For better explanation of the answer see the attached figure :
Since, Angle formed at the center is equal to the angle measure of its opposite arc
⇒ ∠AOD = 104°
Also, The angle formed in the segment is half the angle formed at the center of the circle
⇒ ∠DOB = 2 × ∠BAD
⇒ ∠DOB = 2 × 68°
⇒ ∠DOB = 136°
Now, ∠AOB = 360 - ∠BOD + ∠AOD
⇒ ∠AOB = 360 - 136 - 104
⇒ ∠AOB = 120°
Now, Angle formed at the center is equal to the angle measure of its opposite arc
⇒ b = ∠AOB
⇒ b = 101°
Hence, the correct option is C. 120°
For a set of ordered pairs, the variable corresponding to the first coordinate is the
Katie's age is two times Thomas age. The sum of their ages is 33. What is Tomas age?