Answer:
B. 7 inches
Step-by-step explanation:
The area of a rectangle is given by
A = l*w where l is the length and w is the width
56 = 8*w
Divide each side by 8
56/8 = 8w/8
7 =w
Answer: 7 inches
Step-by-step-Explanation: The formula for the area of a rectangle is below shown below.
Area = length · width
Since we know that the area of the rectangle is 56 in² and the length of the rectangle is 8 inches, we have 56 = 8 · w.
Now to find w or the width of the rectangle, we divide
both sides of the equation by 8 to get 7 = w.
So the width of the rectangle is 7 inches.
Notice that we include inches in our final answer because we were given inches as units in the original problem.
Also notice that we don't ever have to draw a picture of the rectangle in this problem. We can find our answer by simply using the formula for the area of a rectangle.
Answer this fast please it will also give you easy points
Answer:
80°
Step-by-step explanation:
since the complementary is 40° the supplementary is 80° so its the double.
What are the solutions to the quadratic equation 3(x - 4)2 = 75?
O x= -9 and x = 1
x= -5 and x = 5
O x = -4 and x = 4
Ox= -1 and x = 9
OOO
Answer:
x = -1 and x = 9
Step-by-step explanation:
3(x-4)^2 = 75
(x-4)^2 = 75/3 = 25
(x-4)=[tex]\sqrt25[/tex]
(x-4)= 5 or (x-4)=-5
x=9 or x= -1
Final answer:
To solve the quadratic equation 3(x - 4)^2 = 75, we isolate the squared term, take the square root of both sides, and solve for x, which gives us the solutions x = -1 and x = 9.
Explanation:
The equation given is 3(x - 4)2 = 75. To solve for x, follow these steps:
Divide both sides of the equation by 3 to isolate the squared term: (x - 4)2 = 25.Take the square root of both sides of the equation to remove the exponent: x - 4 = ±5.Add 4 to both sides of the equation to solve for x: x = 4 ± 5.So, the solutions to the equation are x = -1 and x = 9.
California has a land area of 163,676 mi2 and a population of 39.51 million people. Find the population density of California to the nearest tenth
answer choices
241.4 people per mi2
4142.6 people per mi2
24.1 people per mi2
0.004 people per mi2
Answer:
(A)241.4 people per mi²
Step-by-step explanation:
California's Population=39.51 million=39,510,000
California's Land Area=163,676 mi²
Population Density=Population ÷Area
=39,510,000÷163,676
=241.39
≈241.4 people per mi² (correct to the nearest tenth)
Bonnie had 1 one-dollar bill, 2 five-dollar bills, and 2 ten-dollar bills in her pocket. She randomly took 3 bills from her pocket. How much money could Bonnie have taken from her pocket?
Answer:
There are 5 different outcomes, $30, $21, $20, $16 and $11.
Step-by-step explanation:
Bonnie has a total of 6 bills in her pocket. If she takes 3 random bills, this means that there are 20 different possibilities but the five dollar bills and ten dollar bills are not indistinctive so the number is not 20 for this example.
She can take the 1 dollar bill and the two 5 dollar bills which would make 11 dollars.
She can take the 1 dollar bill and the two 10 dollar bills which would make 21 dollars.
She can take the 1 dollar bill, one 5 dollar bill and one 10 dollar bills which would make 16 dollars.
She can take two 5 dollar bills and one 10 dollar bill which would make 20 dollars.
She can take two 10 dollar bills and one 5 dollar bill which would make 30 dollars.
So there are 5 different outcomes, $30, $21, $20, $16 and $11.
I hope this answer helps.
Final answer:
Bonnie could have possibly drawn $11, $21, $20, or $25 by selecting any 3 bills out of 1 one-dollar bill, 2 five-dollar bills, and 2 ten-dollar bills.
Explanation:
The question concerns the amount of money Bonnie could have taken from her pocket after randomly selecting 3 bills. To answer this, let's consider her initial set of bills: 1 one-dollar bill, 2 five-dollar bills, and 2 ten-dollar bills.
Here are the possible combinations of 3 bills she could draw:
1 one-dollar bill and 2 five-dollar bills: $1 + $5 + $5 = $11
1 one-dollar bill and 2 ten-dollar bills: $1 + $10 + $10 = $21
2 five-dollar bills and 1 ten-dollar bill: $5 + $5 + $10 = $20
1 five-dollar bill and 2 ten-dollar bills: $5 + $10 + $10 = $25
Therefore, the amounts of money Bonnie could have drawn are $11, $21, $20, and $25.
Sine and cosine are both negative in which quadrant?
Answer:
quad 3
Step-by-step explanation:
Use "all students take calculas"
quad 1: a=all positive
quad 2: s=only sine positive, tan and cos negative
quad 3: t=only tan positive, cos and sin negative
quad 4: c=only cos positive, tan and sin negative
In trigonometry, both sine and cosine are negative in the third quadrant of the coordinate plane, as both the x and y coordinates are negative in this quadrant.
Explanation:In the context of trigonometry, on the coordinate plane, sine and cosine are both negative in the third quadrant. The sine function represents the y-coordinate and the cosine function represents the x-coordinate of a point on the unit circle. Hence, in the third quadrant, where both x and y are negative, both sine and cosine are negative as well. This is a basic idea from trigonometry and is commonly referred to as the rule 'All Students Take Calculus', which helps to remember the sign of sine, cosine and tangent in each quadrant. A- all (Quadrant I, all are positive), S - Sine (Quadrant II, only sine is positive), T - Tangent (Quadrant III, only tangent is positive), C - Cosine (Quadrant IV, only cosine is positive). Therefore in the III quadrant, both sine and cosine are negative as only tangent (ratio of sine to cosine) is positive.
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solve for x 1/2(x-3)=1/3(1-x)
Answer:
x=2.5906672908862554,−0.2573339575529219
In the right triangle shown, mZA = 30° and BC = 6/2.
How long is AC?
Answer:
x = 18
Step-by-step explanation:
Since 30-60-90 triangles have a side ratio of y : y√3 : 2y.
Since 2y, here, is 12√3, then y is 6√3.
This means that the side x, is 6√3 * √3, which is:
x = 6√3 * √3
= 6 * 3
x = 18
what is first even number that is a multiple of 5 and 7?
Answer:
Step-by-step explanation:
5 , 10 , 15 , 20 , 25 , 30 , 35 , 40 , 45 , 50 , 55 , 60
Answer:
70
Step-by-step explanation:
the multiples of 5 are as follows -
5,10,15,20,25,30,35,40,45,50,55,60,65,70
the multiples of 7 are as follows -
7,14,21,28,35,42,49,56,63,70
from what is shown, 70 is the only first common multiple of the two numbers
i hope this helps! :)
Is 600,000,25 greater than 62,500
Answer:
Yes
Step-by-step explanation:
Yes, 600,000,25 is greater than 62,500.
10.6771 to the nearest tenth
WILL GIVE BRAINIEST
What is the Magnitude of A?
a) 4
b) −4
c) 3
d) −3
Graph:
Answer:
c) 3
Step-by-step explanation:
The magnitude of a vector is its length, ignoring its direction.
Vector a goes from 0 to -3, so its length is 3.
Answer:
c) 3
Step-by-step explanation:
Vector A: < -3, 0 >
Magnitude:
sqrt[(-3)² + 0²]
sqrt(9)
3
simplify 8x - 2y + x + x
Answer:
10x-2y
Step-by-step explanation:
the x's are really 1x
8x+1x+1x
=10x
the 2y stays the same so you end up with
10x-2y
Objects in free fall are constantly picking up speed as they fall back to Earth (prior to reaching terminal velocity).
Answer:
i think true but im not sure
Step-by-step explanation:
If y = 3x squared + 4 find the value of y when x = 2
Answer:
The value of y is 16.
Step-by-step explanation:
You have to substitute x = 2 into the equation :
[tex]y = {3x}^{2} + 4[/tex]
Let x = 2,
[tex]y = 3( {2)}^{2} + 4[/tex]
[tex]y = 3(4) + 4[/tex]
[tex]y = 12 + 4[/tex]
[tex]y = 16[/tex]
Answer:
y = 16
Step-by-step explanation:
Let's solve your equation together
3x^2 + 4
We have been given that x = 2
So first we must replace x by 2.
y = 3(2)^2 + 4
Now we solve the equation
2^2 = 4
y = 3(4) + 4
3 * 4 = 12
y = 12 + 4
12 + 4 = 16
y = 16
Hope this helps :)
What is the radius and diameter of the following circle?
7.5 cm
Radius =
cm
Diameter
=
cm
Answer:
radius=7.5cm
diameter=15cm
Step-by-step explanation:
diameter=2radius
=2×7.5
=15
please help me out on this!
What is 5 times 6 minus 3
Answer:
27
Step-by-step explanation:
5 × 6 = 30
30 - 3 = 27
Answer:
27
Step-by-step explanation:
(5) 6 -3 In PEMDAS you Multiply first because M is before S
30 - 3
27
The diameter of a circle measures 8 yd. what is the circumference of the circle?
Answer:
25.133
Explanation:
c = 2πr
15- the square root of 105 and 5
Answer:9.75304923404
Step-by-step explanation:
hey can anyone pls help me out in dis!!!!!!!!
Answer:
see below
Step-by-step explanation:
Graphs A , B , D are graphs of inequalities. The show that something is greater than or equal to ( graph A) or less than or equal to ( Graph B and D)
Graph C is a point. It is a graph of an equation
An item is regularly priced at $85. Juan bought it on sale for 55% off the regular price. How much did Juan pay?
Ashik claims that the graph on the right is the correct interpretation of the scatterplot, but his friend Shelby claims that the
graph on the left is correct.
Shelby's Graph
Ashik's Graph
12
00
Who is correct and why?
Mark this and return
Save and Exit
Next
Next
Submit
Submit
OF
Answer:
C. Ashik is correct because the points are a strong correlation to this nonlinear association.
just got it right on edge 2020.
please mark as Brainliest.
Consider the expression 7x2 + 9 + 3x. Tell whether each statement is
True or False.
a. The expression has three terms.
b. The coefficient of x is 3.
c. The expression can be simplified to 10x2 + 9.
d. The constant term is 9.
Answer:
A is false
b is true
c is false
d is false
Step-by-step explanation:
Final answer:
In this response, the terms of the given algebraic expression are identified, coefficients are determined, and simplification possibilities are explored.
Explanation:
a. True: The expression 7x2 + 9 + 3x has three terms.
b. True: The coefficient of x is 3.
c. False: The expression cannot be simplified to 10x2 + 9. It remains as 7x2 + 9 + 3x.
d. True: The constant term in the expression is 9.
Write the system of equations corresponding to the augmented matrix shown below ⎡⎣⎢⎢−8−2150−9−6−11−21−1⎤⎦⎥⎥ Note: Write an equation in each answer field and do not solve the system.
the system of equations corresponding to the augmented matrix is:
-8x - 2y - 1z = -15 ,0x - 9y - 6z = -11 ,-2x + 1y - 21z = -1
what is augmented matrix ?
An augmented matrix is a way of representing a system of linear equations in a matrix form. It consists of a rectangular array of numbers, where the coefficients of the variables in each equation are placed in one part of the matrix
In the given question,
To write the system of equations corresponding to the augmented matrix, we need to represent the coefficients and constants of the variables.
The given augmented matrix corresponds to the following system of linear equations:
-8x - 2y - 1z = -15
0x - 9y - 6z = -11
-2x + 1y - 21z = -1
where x, y, and z are variables.
Therefore, the system of equations corresponding to the augmented matrix is:
-8x - 2y - 1z = -15
0x - 9y - 6z = -11
-2x + 1y - 21z = -1
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Add the polynomials:
6a - 4b+cand 4a + 4b+c
Step-by-step explanation:
6a - 4b + c + 4a + 4b + c
Solving like terms
10a + 2c
Because - 4b + 4b = 0
an option a person might choose when
making a decision.
Kali is single and earns $45,800 per year. What is her annual federal withholding?
The table would continue this pattern up to 1,800 hours
The question involves creating a table that displays the effect of earned income on government support and total income for a single mother, named Susan. Given that Susan earns $8 per hour and loses $1 in government benefits for every $1 earned, we calculate the impact of different work hours on her total income. The table will illustrate the intersection of labor and welfare economics, showing the disincentive to work that some assistance programs might create due to the reduction in benefits as earned income rises.
To provide an example for Susan's situation: If she works 500 hours at $8 per hour, her earnings from work would be $4,000. With government benefits reducing dollar for dollar, Susan's new benefits would be $16,000 - $4,000, which equals $12,000. So, her total income would be her earnings ($4,000) plus the adjusted government benefits ($12,000), totaling $16,000. The table would continue this pattern up to 1,800 hours
when expanded 4x(3 Plus x)
Answer:
The answer is 12x + 4x².
Step-by-step explanation:
You have to expand it using Distributive Law :
[tex]4x(3 + x)[/tex]
[tex] = 4x(3) + 4x(x)[/tex]
[tex] = 12x + 4 {x}^{2} [/tex]
The Smiths spend 10% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year they plan to spend $2,450 on entertainment. What was their total budget last year?
Answer:
$22500
Step-by-step explanation:
First, we have to find the total budget for this year.
They spend 10% on entertainment and $2450 will be spent on entertainment this year.
Let the total budget this year be x. Therefore:
[tex]\frac{10}{100} * x = 2450[/tex]
Simplifying:
[tex]10x = 2450 * 100 \\\\10x = 245000\\\\x = 245000 / 10[/tex]
=> x = $24500
Their total budget of this year is $24500.
Since they will spend $2000 more this year than last year, we have to deduct $2000 from this year's budget to find last year's.
This means that their budget last year was:
$24500 - $2000 = $22500
Their budget last year was $22500.
The mean length of 6 childrens' big finger is 8.3cm. The mean length of 5 adults' big finger is 17.7cm. What is the mean length (rounded to 2 DP) of these 11 people's big finger?
Answer:
The mean for the whole group is 12.57 cm
Step-by-step explanation:
The mean of the length of each group's finger is given by the following formula:
mean = (sum of lengths from each finger)/number of people
Therefore for the first group:
8.3 = (sum1)/6
sum1 = 8.3*6 = 49.8
For the second group:
17.7 = sum2/5
sum2 = 17.7*5 = 88.5
Therefore the mean from the whole group is:
mean = (sum1 + sum2)/11 = (49.8 + 88.5)/11 = 12.57 cm