Area of a rectangle is length x width.
Let the width = x
The length would be x +7. ( 7 inches longer than the width)
Area = 20
Set up the formula:
20 = x * x+7
Simplify the right side:
20 = x^2 + 7x
Subtract 29 from both sides:
X^2 + 7x -20 = 0
Solve using the quadratic equation
X = -b + sqrt(b^2 -4ac) / 2a
X = -7 + sqrt(7^2-4(1)(-20) / 2(1) (exact answer)
X = 2.178908 ( as a decimal)
The width is 2.178907 inches (round as needed)
The length would be 9.178907 inches ( round as needed.)
Depending on how you round, when you multiply them together you get approximately 20 square inches.
Step-by-step explanation:
Step 1: Find the dimensions
l = 7 + w
Area = 20
Find width
[tex]A = l * w[/tex]
[tex]20 = (7 + w)(w)[/tex]
[tex]20 - 20 = 7w + w^2 - 20[/tex]
[tex]w^2 + 7w - 20 = 0[/tex]
[tex]w=\frac{-(7)\pm\sqrt{(7)^2-5(1)(-20)}}{2(1)}[/tex]
[tex]w = 2.17890...[/tex]
Find length
[tex]l = 7 + w[/tex]
[tex]l = 7 + 2.17890...[/tex]
[tex]l = 9.17890...[/tex]
Answer: [tex]Width = 2.17890..., Length = 9.17890...[/tex]
Write an equation that represents the line (-2,1) and (4,6)
Answer:
y - 6 = (5/6)(x - 4)
Step-by-step explanation:
Write an equation that represents the line through the points (-2,1) and (4,6)
As we move from (-2, 1) to (4, 6), x increases by 6 and y increases by 5.
Thus, the slope of the line connecting these two points is m = rise/run = 5/6.
Using (4, 6) as one point on the line, the equation of the line in point-slope form is
y - 6 = (5/6)(x - 4)
Answer: y - 6 = (5/6)(x - 4
Step-by-step explanation:
The histogram shows the number of payphones that were active by year in a large city. How many payphones would you expect to be active between 1976 and 1980?
Answer:
It is the second one
Step-by-step explanation:
Hope it helps and rate my answer
;);)
Answer:
between 150 and 200
Step-by-step explanation:
corect on edge
A rectangle has a height of x and a width of 7x-4 what is the area
Answer:
Step-by-step explanation:
Answer:
(7x² - 4x) unit²
Step-by-step explanation:
Area of rectangle = width × height
Width = 7x - 4
Height = x
Area = x ( 7x - 4)
Area = (7x² - 4x) unit²
What is the domain of the function y = 2 StartRoot x minus 6 EndRoot?
The domain of the function y = 2√(x - 6) is all real numbers x such that x is greater than or equal to 6. This is represented as [6, ∞).
The domain of the function y = 2√(x - 6) is the set of all x-values for which the expression inside the square root is non-negative. This is because the square root function is only defined for non-negative values.
To find the domain, we set up the inequality:
x - 6 ≥ 0
Solving this inequality, we get
x ≥ 6
Therefore, the domain of the function y = 2√(x - 6) is [6, ∞). This includes all real numbers x starting from 6 to positive infinity.
The solution of the equation 3(x + 3) = 12 is ?
Step-by-step explanation:
Hello there!
Solve for x using the distruibutive property:
3(x+3)=12
3x+9=12
3x=3
x=1
:)
Answer:
x=1
Step-by-step explanation:
3(x+3)=12
3x+9=12
3x=3
x=1
A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The image of B, point B prime, has the coordinates (2, –3). What is the scale factor of the dilation?
Answer:
it is 1/5
Step-by-step explanation:
the factor of the coordinates b(10,-15) and b'(2,-3) is five, but the figure gets smaller and is a reduction. therefore the scale factor is between 0-1, making it 1/5.
What is the sale price of a $15 shirt that is 20% off? (round to the nearest cent)
Answer:
12
Step-by-step explanation:
sale price is (100-20)% of 15 = 80/100 * 15 = 12
If 2 is equal to 156°, what is the measure of 3?
Answer:
3 = 234
Step-by-step explanation:
156 ÷ 2 = 78 so then 156 + 78 = 234
Please mark Brainliest :)
A total of 503 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 more student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
225 adult tickets were sold
To determine the number of adult tickets sold for the school play, we set up an equation with the variable representing adult tickets, and considered that there were 53 more student tickets sold than adult tickets. Solving the equation given the total number of tickets (503), we found that 225 adult tickets were sold.
The question is asking us to find out how many adult tickets were sold for the school play when given the total number of tickets and the information that there were 53 more student tickets sold than adult tickets. To do this, we'll let the number of adult tickets be represented by x and the number of student tickets be x + 53, as there were 53 more student tickets than adult tickets.
The total number of tickets sold is 503, which is the sum of adult tickets and student tickets. So, x (adult tickets) + (x + 53) (student tickets) = 503. Combining like terms, we get 2x + 53 = 503. Subtracting 53 from both sides, we have 2x = 450. Dividing both sides by 2 gives us x = 225. Therefore, 225 adult tickets were sold.
-5n-12=-7n+28 solve the equation
Answer:
n = 20
Step-by-step explanation:
Add 7n to both sides.
-5n + 7n - 12 = 2n - 12.
-7n + 7n + 28 = 28.
Now the equation is 2n - 12 = 28.
Add 12 to both sides to isolate the variable.
2n - 12 + 12 = 2n.
28 + 12 = 40.
Now the equation is 2n = 40. Divide both sides by 2.
n = 20.
Answer:
n=20
Step-by-step explanation:
-5n-12 =-7n+28
plus 7n to each side
2n - 12 = 28
add 12 to each side
2n=40
divde by 2 to isolate the n.
you get n=20
Expand the expression.
-70k - 3)
Answer:
-70003
Step-by-step explanation:
-70000 - 3 = - 70003
2.) Simplify the following expression: 7n + 4y + 4n + 7y *
0 points
8y + 14n
11n + 11y
14y + 8n
Already simplified
Other:
Answer:
11n+11y
Step-by-step explanation:
CLT
7n+4n+7y+4y
11n+11y
A triangle has angle measurements of 87 degrees and 32 degrees. What is the measurement of the third angle?
a
119 degrees
b
63 degrees
c
180 degrees
d
61 degrees
Answer:
61 degrees
Step-by-step explanation:
a triangle measures 180 degrees
so your going to add 87 and 32 which gives us 119
since a triangle measures 180 degrees u you are going to subtract 119 from 180 which gives us 61 degrees
Answer:
its 61 on edg
Step-by-step explanation:
i took the test and got a 93.2%
A movie theater has a seating capacity of 315. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2280, How many children, students, and adults attended?
Answer:
84 students
Step-by-step explanation:
Let x be the number of adults.
Then the number of children is 2x, according to the condition,
and the number of students is the rest (315-x-2x) = (315-3x).
The "money" equation (the revenue equation) is
12x + 5x(2x) + 7x(315-3x) = 2282.
12x + 10x + 7x315 - 21x = 2282
x = 2282 - 7x315 = 77 is the number of adults.
77 adults :2 x 77 = 154 children and the rest (315-77-154) = 84 students.
Which number is greater: 1/4 or 5/4 ?
Answer:
1/4 < 5/4
Step-by-step explanation:
Since the numbers have the same denominator, we compare the numerators
1 < 5
so 1/4 < 5/4
Answer:
5/4
Step-by-step explanation:
Hello there!
Since each number is given in terms of 4ths, we can look at which has more 1/4 that comprises it.
5>1, so 5/4 is greater.
:)
can someone solve this please
Answer:
ML = 6
Step-by-step explanation:
If JM = 6, then ML = 6 because they are congruent.
Find the area of the shape shown below.
Answer:
27
Step-by-step explanation:
Answer:
(B+b)xh/2 = formula for the area of the trapeze
so (9+3)x3/2= 12x3/2 = 6x3 = 18
if the ratio of boys to girls is 2:3 and there are 15 girls in your class, how many boys are there.
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Pls help I really need it I been staring at this for a hour pls help there’s a chance I might give Brainlest
Answer:
the area is 146 mi^2 and the perimeter is 54
Step-by-step explanation:
Answer
perimeter = 44 mi
area = 146 mi²
Step by step
perimeter = 9 mi + 10 mi + 2 mi + 8 mi + 7 mi + 18 mi
perimeter = 44 mi
area = (2 × 10) + (7 × 18)
area = 20 + 126
area = 146 mi²
What is the measure of arc ABC?
Answer:
BA=180°
C=70°
180° - 70° = 110°
Step-by-step explanation:
Latoya performs an experiment using the lab equipment shown.
Which two properties is Latoya most likely measuring?
mass and volume
volume and temperature
temperature and length
length and mass
Answer
B volume and temp
Step-by-step explanation:
The cup is telling you the volume in the cup and the temp stick thing is telling you temp. Hope this helped
Answer:
B
Step-by-step explanation:
Sam is 18 and Bill is 24. how many years ago was Bill three times as old as sam
Answer:
15 years ago
Step-by-step explanation:
So it was when Sam was x=3 years old and Bill was 3x=9 years old that Bill was 3 times as old as Sam. And since their ages are now 18 and 24, that was 15 years ago.
Answer:
The answer is 15 years
Step-by-step explanation:
Gomer stores his Iguana Food IN A CAN that is 8 inches tall and
has a diameter of 3 inches. What is the volume of the Iguana Food
can?
A 4-ft vertical post casts a 20-in shadow at the same time a nearby cell phone tower casts a 125-ft shadow. How tall is the cell phone tower
Answer:
Because we are dealing with both feet and inches, and your question didn't state if it was to be rounded, I got 301.2 feet.
Step-by-step explanation:
(4/1.66)=(x/125)
solve for X
X≈301.2
Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 640 randomly selected adults showed that 99.2% of them would erase all of their personal information online if they could. Make a subjective estimate to decide whether the results are significantly low or significantly high, then state a conclusion about the original claim.
Answer:
Given:
Sample size, n = 640
Since result showed that 99.2% of them would erase all of their personal information online if they could, we have:
P' = 99.2% = 0.992
Let's take p = 50%
Our null and alternative hypothesis will be :
H0 : u = 0.5
H1 : u > 0.5
In this case we are to check for the test statistic.
[tex] \frac{P' - p}{\sqrt{p(1-p)/n}} [/tex]
[tex] = \frac{0.992 - 50}{\sqrt{50(1-50)/640}} [/tex]
= 24.9
Test statistic, Z = 24.893
In conclusion, the results are significantly high, which suggets there is suffcient evidence to support the claim that most adults would erase all of their personal information online.
Katie bought 2 one-gallon bottles of juice for a party. Her guests drank 64gallons of juice. What fraction of a gallon of juice is left over? Draw a number line to show,and explain your answer.
Answer:
1/2 gallon
Step-by-step explanation:
Each full gallon can be represented as 4/4 of a gallon. Since Katie bought 2 one-gallon bottles, the total amount of juice is 8/4 gallons. The number line below represents the fraction of juice that her guests drank.
[tex]\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\\ \frac{1}{4}\ \ \frac{2}{4}\ \ \frac{3}{4}\ \ \frac{4}{4}\ \ \frac{5}{4}\ \ \frac{6}{4}\ \ \frac{7}{4}\ \ \frac{8}{4}[/tex]
The fraction of a gallon of juice left over is:
[tex]f=\frac{8}{4}-\frac{6}{4} =\frac{2}{4}\\f=\frac{1}{2}[/tex]
Therefore, there is 1/2 of gallon of juice left over.
What is the surface area of the pyramid?
A 160
B 188
C 224
D 256
PLEASE HELP ASAP
Answer:
160
Step-by-step explanation:
one of the triangle faces:
4 × 6 = 24cm^2
theres 4 triangle faces so 24 × 4 = 96 cm^2
then u have to add on the square face which is 8×8 =64cm^2
total:
64 + 96 = 160cm^2
Answer:
A your welcome
Step-by-step explanation:
If Dennis rolls 2 number cubes with sides labeled 1 to 6, what is the probability that the sum of the numbers is greater than or equal to 10?
Answer:
Probability (sum of the numbers ≥ 10) = 1/6
Step-by-step explanation:
Given:
Number of Dice = 2
Total number on dice = 1, 2, 3, 4, 5, 6
Find:
Probability (sum of the numbers ≥ 10)
Computation:
Total number of probability = 6 × 6
Total number of probability = 36
Sum of number greater than or equal to 10 are:
(4,6), (5,5), (5,6), (6,6), (6,4), (6,5)
Total number of outcomes = 6
Probability (sum of the numbers ≥ 10) = Total number of outcomes / Total number of probability
Probability (sum of the numbers ≥ 10) = 6 / 36
Probability (sum of the numbers ≥ 10) = 1/6
Which of the following expressions can be used to find the perimeter of a rectangle?
2l + 2w
l + l + w + w
l + l + 2w
2l + w
2(l + w)
l(2+w)
2l + 4
l + w + 4
Answer:
2l + 2w. l+l+w+w. l+l+2w. 2(l+w)
Judith went shopping with $50 and spent $45. What percentage of her money did she spend
Answer:
90%
Step-by-step explanation:
Answer:
90%
Step-by-step explanation:
To determine what percentage of money she spent, you would divide the amount she spent by the total amount she had.
$45 ÷ $50 = 0.9
You would then multiply the decimal times 100 to convert the decimal to a percentage.
0.9 · 100 = 90