About 13 out of 20 homes have a personal computeron a street of 60 homeshow many would have a personal computer
dfor every 20 houses 13 have computers
divide 60 by 20
60/20 = 3
multiply 3 by 13
3*13 = 39
39 houses have computers
A recipe calls for 3/4 cup of flour. you have only 1/2 cup of flour. what fraction of the recipe can you make?
Did I do the problem -2x+10=-2(x+5) ? If not plz explain and answerthxx
Building a is 160 feet shorter than building
b. the total height of the two buildings is 1490 feet. find the height of each building.
Vector u has its initial point at (14, -6) and its terminal point at (-4, 7). Write the component form of u and find its magnitude.
[tex]\bf u\implies \begin{cases} (14,-6)\\ (-4,7) \end{cases}\implies (-4-14)~,~(7-(-6)) \\\\\\ (-18) ~,~(7+6)\implies \stackrel{\textit{component form}}{\ \textless \ -18~,~13\ \textgreater \ } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ||u||=\sqrt{a^2+b^2}\implies ||u||=\sqrt{(-18)^2+13^2}\implies ||u||=\sqrt{493}[/tex]
The component form of vector u is (-18, 13) and its magnitude is approximately 22.2.
Explanation:The subject of this question is vector algebra, specifically finding the component form and magnitude of a vector. The component form of a vector is found by subtracting the coordinates of the initial point from the terminal point. Thus, the component form of vector u with initial point at (14, -6) and terminal point at (-4, 7) is (-4-14 , 7-(-6)) = (-18, 13).
To find the magnitude of a vector, you use the formula which is the square root of the sum of the squares of the components. So for vector u, the magnitude is found by calculating √((-18)² + 13²) = √ (324 + 169) = √493, which is approximately 22.2.
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The sum of three consecutive odd integers is 219. What is the largest of these integers?
what percent of 150 is 350
Let f(x) = 2x - 6 Solve f-1(x) when x = 2.
An ice cream factory makes 170 quarts of ice cream in 2 hours. how many quarts could be made in 12 hours? what was that rate per day?
MATH QUESTION!!!!!!!!!
"3 miles; it represents the original distance of the bird from its nest."
Please help me thank you.
In May, Liam and Charlie had the same amount of money in their savings accounts. In June, Liam deposited $140 into his account. Charlie said he increased the money in his account by 5%. When they compared their balances, they found that they were still equal.
How much money did they both have in their accounts in May?
Answer:2,800.00
Step-by-step explanation:
A glass tabletop is supported by a rectangular pedestal. if the tabletop is 8 inches wider than the pedestal on each side, what is the perimeter of the glass tabletop
When adding make sure you add 4 sides worth of calculations. You have to consider the left and right side (for length) and front and back for the width.
The solution for this problem is:
Side 1 (8+36+8)
+
Side 2 (8+48+8)
+
Side 3 (8+36+8)
+
Side 4 (8+48+8)
= 232
The perimeter of the glass tabletop is 232 inches. The option (E) is correct.
To find the perimeter of the glass tabletop, we need to determine its dimensions first. According to the problem, the glass tabletop is 8 inches wider than the pedestal on each side.
Dimensions of the Pedestal:
- Width: 36 inches
- Length: 48 inches
Since the tabletop extends 8 inches beyond the pedestal on each side, we add 16 inches (8 inches on each side) to both the width and the length of the pedestal.
Width of the glass tabletop:
[tex]\[ \text{Width} = 36 \, \text{inches} + 16 \, \text{inches} = 52 \, \text{inches} \][/tex]
Length of the glass tabletop:
[tex]\[ \text{Length} = 48 \, \text{inches} + 16 \, \text{inches} = 64 \, \text{inches} \][/tex]
The perimeter [tex]\( P \)[/tex] of a rectangle is given by:
[tex]\[P = 2 \times (\text{Length} + \text{Width})\][/tex]
Substituting the dimensions:
[tex]\[P = 2 \times (64 \, \text{inches} + 52 \, \text{inches})\\P = 2 \times 116 \, \text{inches} = 232 \, \text{inches}\][/tex]
The correct perimeter of the glass tabletop is [tex]\( 232 \)[/tex] inches.
The complete question is:
A glass tabletop is supported by a rectangular pedestal. If the tabletop is 8 inches wider than the pedestal on each side, what is the perimeter of the glass tabletop?
A) 92 inches
B) 116 inches
C) 176 inches
D) 184 inches
E) 232 inches
(2x4+x3−4x2+3)+(4x4−2x3−x2+10x+2)
Express the answer in standard form.
Enter your answer in the box.
Answer: The required sum is [tex]6x^4-x^3-5x^2+10x+5.[/tex]
Step-by-step explanation: We are given to find the following sum:
[tex]S=(2x^4+x^3-4x^2+3)+(4x^4-2x^3-x^2+10x+2).[/tex]
To find the sum, we need to add the coefficients of the same exponents of the unknown variable x.
The summation is as follows:
[tex]S\\\\=(2x^4+x^3-4x^2+3)+(4x^4-2x^3-x^2+10x+2)\\\\=(2+4)x^4+(1-2)x^3+(-4-1)x^2+10x+(3+2)\\\\=6x^4+(-1)x^3+(-5)x^2+10x+5\\\\=6x^4-x^3-5x^2+10x+5.[/tex]
Thus, the required sum is [tex]6x^4-x^3-5x^2+10x+5.[/tex]
PLEASE HELP!!!!
How do I describe the distribution of this graph???
|j|=|2j+3| please help me
The value of j is -3.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
j = (2j + 3)
Solve for j.
j = 2j + 3
Keep like terms on one side.
2j - j = -3
j = -3
Thus,
The value of j is -3.
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Please tell me where these marks are on these rulers.
What is the smallest integer that can be added to -2m^3-m+m^2+1 to make it completely divisible by m+1?
What are the common factors of 64 and 92?
12x+18y=36 8x+12y=24 solve for through elimination
The concession stand at a ballpark makes $0.43 profit from each hot dog sold. It also makes a profit of $0.65 from each pretzel sold and $1.31 from each drink sold. Which expression represents the total profit, in dollars, that the stand will make on a day when they sell h hot dogs, p pretzels, and d drinks?
Answer:
P = 0.43h + 0.65p + 1.31d represents the total profit, in dollars that the stand will make on a day when they sell h hot dogs, p pretzels, and d drinks
Step-by-step explanation:
Given : The concession stand at a ballpark makes $0.43 profit from each hot dog sold. It also makes a profit of $0.65 from each pretzel sold and $1.31 from each drink sold
We have to find an expression that represents the total profit, in dollars that the stand will make on a day.
Let the stand sells h hot dogs, p pretzels, and d drinks on a day
Since profit of one hot dog is $ 0.43
So , profit of h hot dogs is $ 0.43h
also, profit of one pretzels is $ 0.65
So , profit of p pretzels is $ 0.65p
also, profit of one drink is $1.31
So , profit of d drinks is $ 1.31d
Total profit of a day is the total profit he earned from selling each item.
thus, total profit is given by equation
P = 0.43h + 0.65p + 1.31d
Thus, P = 0.43h + 0.65p + 1.31d represents the total profit, in dollars that the stand will make on a day when they sell h hot dogs, p pretzels, and d drinks
someone please help me with this problem
Find the measure of an angle between 0° and 360° coterminal with an angle of -271° in standard position.
A. 89°
B. 271°
C. 181°
D. 91°
I'm not sure if it's B. or A. PLEASE show your work
Train A and train B leave a central station at the same time. They travel the same speed, but in opposite directions, with train A heading towards station A, and train B heading towards station B. Train A reaches station A after 3 h. Train B reaches station B after 214 h. Station A and Station B are 420 mi apart. What is the rate of the trains?
Answer:
he's wrong it's actually 80mph
Step-by-step explanation:
What is the maximum number of communication paths for a team of twenty people?
how to find the sum of 2+4+6....+40?
How can you tell when there are 1001 pickles under the bed worksheet?
To find the probability of getting a blue jelly bean, we use the equation P = B / Total. Substituting the given values, we find that the probability of getting a blue jelly bean is approximately 0.1733 or 17.33%.
Explanation:To solve the given problem, we can use the equation provided in the example: P = B / 26. Since we know that there are 26 blue jelly beans out of 150 total jelly beans, we can substitute these values into the equation to find the probability: P(B) = 26 / 150. Simplifying this fraction, we get P(B) = 13 / 75.
Therefore, the probability of getting a blue jelly bean is 13/75, or approximately 0.1733, which can be expressed as a percentage as 17.33%.
Find the distance between the points (8,9) and (1,4). round decimals to the nearest tenth.
Find two consecutive even integers whose sum is 126, please show your work.
The two consecutive even integers whose sum is 126 are 62 and 64.
Let's represent the first even integer as x. Since the next consecutive even integer would be the next even number, we can represent it as x + 2.
The problem states that the sum of these two consecutive even integers is 126. We can set up the equation:
x + (x + 2) = 126
Now, let's solve for x by simplifying and combining like terms:
2x + 2 = 126
Subtract 2 from both sides of the equation:
2x + 2 - 2 = 126 - 2
2x = 124
Divide both sides of the equation by 2 to isolate x:
(2x) / 2 = 124 / 2
x = 62
Now that we have found the value of x, we can find the second consecutive even integer:
x + 2 = 62 + 2 = 64
Therefore, the two consecutive even integers whose sum is 126 are 62 and 64.
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Mr. haigwood is shopping for a school picnic . veggie burgers comes in packages of 15 and buns come in packages of 6. he wants to serve veggie burgers on buns and wants to have no items left over. Mr. haighwood says that he will have to buy at least 90 of each item 6 x 15 =90. Do you agree with his reasoning
Answer:
Mr. haigwood is not right.
Step-by-step explanation:
The veggie burgers comes in packages of 15 and buns come in packages of 6.
Mr. haigwood wants to serve veggie burgers on buns and wants to have no items left over.
Now, to find the least number of burgers and buns needed so nothing is left over, we will find the LCM of 15 and 6.
15 = 3 x 5
6 = 2 x 3
LCM = 2 x 3 x 5 = 30
As given, Mr. haighwood says that he will have to buy at least 90 of each item 6 x 15 =90.
This is not right. He needs to buy at least 30 of each item so that nothing is left over.