The perimeter of a rectangular movie screen at a local cinema is 148 feet. If the length of the screen is 30 feet longer than the width, what is the length of the screen, in feet?
The perimeter of a rectangle = 2(l + w)
l = length
w = width
In this problem,
w = x
l = x + 30
the perimeter = 148
Let's plug our values into the perimeter formula above.
148ft = 2(x + x + 30ft)
Combine like terms.
148ft = 2(2x + 30ft)
Distribute the 2
148ft = 4x + 60
Subtract 60 from both sides
88ft = 4x
Divide both sides by 4
22ft = x
The width = x = 22ft
The length = x + 30 = 22 + 30 = 52ft
A standard working day is 8 hours. If you were to work 125% of a normal day, how many total hours would you work?
Answer:
10
Step-by-step explanation:
Whenever we see "of" we know its multiplication
125% x a normal day
125% x 8
[tex]\frac{125}{100}[/tex] x 8
10
:)
What are the coordinates of the vertices of the rose garden after a translation two yards east and four yards south? Use the terms A, B, C, and D
Answer:
The coordinates of the vertices of the original rose garden are A(3, 6), B(3, 3), C(4, 3), and D(4, 6).
Because the rose garden is translated 2 yards east (2 units in the positive x-direction) and 4 yards south (4 yards in the negative y-direction), add 2 units to the x-coordinates and -4 units to the y-coordinates of all the original vertices.
A(3, 6) will become A'[(3 + 2), (6 + (-4))], or A′(5, 2).
B(3, 3) will become B'[(3 + 2), (3 + (-4))], or B′(5, -1).
C(4, 3) will become C'[(4 + 2), (3 + (-4))], or C′(6, -1).
D(4, 6) will become D'[(4 + 2), (6 + (-4))], or D′(6, 2).
Consumers are paying record amounts of fees for overdrawing their bank accounts. In 2007, bankes this and credit unions collected $649 on in overdraft fees, which is $144 on more than in 2001. What is the
percent of increase?
Answer: 1.3 percent increase (to the nearest 10th
Step-by-step explanation: to figure out the percent of increase, you have to take the $144 away from 649, which is $505, then divide so:
$649 - $144 = $505
$649 / $505 = 1.28...or ~1.3
-55÷12 = 7÷4m + 8÷3m what is m
Answer:
[tex]m=-\frac{53}{55} \\m=-0.963[/tex]
Step-by-step explanation:
Rewrite Equation.
[tex]7/4m+8/3m=-55/12[/tex]
Simplify.
[tex]\frac{53}{12m} =-55/12[/tex]
Simplify.
[tex]\frac{53}{12m} =-\frac{55}{12}[/tex]
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
[tex]53*12=12m*-55[/tex]
Simplify & Answer:
[tex]m=-\frac{53}{55}[/tex]
What number is 7 unit to the leaft of -1
Answer:
-8
Step-by-step explanation:
Since its going left I’m assuming it means negative. So you’re adding -7 to -1.
That gives you -8.
6multiplied by 3 to the -2nd power minus 3 to the fourth power multiplied by 9 plus 4 to the 0th power
A regulation baseball field measures 90 feet between each base. what is the distance around the bases in meters?
Answer:
27.43 meters in between each base, 109.72 around all the bases.
Step-by-step explanation:
There are 0.3 meters in one foot, so 0.3 x 90= 27.43. 27.43x4=109.72
4a²-4ab + b2, when a = 2 and b = 5
Answer: -14
Step-by-step explanation:
literally just plug the numbers in the equation:
a= 2 b=5
4(2)^2-4(2)(5)+(5)2
4(4) -4(10) +10
16 - 40 + 10
-14
Hope this helps
The value of the expression 4a² - 4ab + b² is 1 if the value of a is 2, and the value of b is 5.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
The expression:
= 4a² - 4ab + b²
Plug a = 2
b = 5
In the above expression:
As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
Applying arithmetic operation:
= 4(2)² - 4(2)(5) + (5)²
= 4x4 - 40 + 25
= 16 - 40 + 25
= 1
Thus, the value of the expression 4a² - 4ab + b² is 1 if the value of a is 2, and the value of b is 5.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
simplify it for me please Simplify: 1.50
Answer:
2
Step-by-step explanation:
4 5 6 7 8 9 10 TIME REMAINING 35:22 Triangle KNM is shown. Triangle K N M is shown. Angle M K N is 25 degrees. Angle K N M is 130 degrees. Angle N M K is 25 degrees. What is true about the sides of KNM? KN = NM KN + NM = KM KM = 2(NM) KN = One-halfKM Mark this and return
Answer:
KN = NM
Step-by-step explanation:
Given that:
In a triangle KNM
angle ∠ MKN = 25°
angle ∠ KNM = 130°
angle ∠ NMK = 25°
The objective is to determine what is true about the side of KNM.
The correct option is:
KN = NM
From the above, we will see that two angles are equal, which implies the triangle is likely to be an isosceles triangle. An isosceles triangle is a triangle that has two equal angles and sides.
Thus, the intersection of NK with KM is at an angle of 25°, so do NM and KM. We can thereby conclude that the two sides are equal in length provided that they possess the same angles and they intersect at the line at the same angle.
Answer: (A)
Step-by-step explanation: trust me!
To make grape juice by using frozen juice concen-trate, you must mix the frozen juice concentrate with water in a ratio of 1 to 3. How much frozen juice concentrate and how much water should you use to make 11 this problem in two different ways by reasoning about multiplication and division with quanti-ties, explaining your reasoning in each case.
Answer:
To make 11 grape juice, you will need:
11 (1 * 11) frozen juice concentrate and
33 (3 * 11) water.
Step-by-step explanation:
Since you are making 11 grape juice containers and each container requires 1 frozen juice concentrate and 3 quantities of water, to get the maximum quantities of ingredients required, you will multiply each ingredient by 11.
With the sum of ratio as 4 (1:3), we can also say that 44 (4 * 11) units of both frozen juice concentrate and water are required to produce 11 units of the grape juice. Dividing 44 by 4 also gives 11 units. Similarly, dividing the total ingredients of the frozen juice of 11 units by 11 juice concentrate gives 1 unit each and dividing 33 units by 11 quantity of water gives 3 units each in every unit of the juice produced.
A father and his two sons wanted to measure the distance between the two tallest trees in the City Garden by their footsteps. It was winter and there was a fresh snow in the garden, so they decided to start measuring from the same tree by walking one after another straight to the other tree. The father's footstep is 32 inches long, while the same for his sons is 28 inches and 24 inches. In what distance, in feet, the three footsteps would overlap first time?
the least common multiple is...
(32,28,24) = 2^5 * 3 * 7 = 672
lower perfect square root of
18
What percent of 70 is 49?
Answer:
70%
Step-by-step explanation:
49/70 = 0.7
0.7*100 = 70%
The width of a rectangle is 1/2 of its length. What are the sides of the rectangle if its perimeter is 63 in.? pls help asap i will award brainliest
Answer:
[tex] \boxed{ \sf{length \: of \: a \: rectangle = 21 \: in.}}[/tex]
[tex] \boxed{ \sf{width \: of \: a \: rectangle = 10.5 \: in.}}[/tex]
Step-by-step explanation:
Let the length of a rectangle be ' l '
Width of a rectangle ( w ) = [tex] \sf{ \frac{1}{2} l}[/tex]
Perimeter of a rectangle ( P ) = 63 in.
First, finding the length of a rectangle ( l )
[tex] \boxed{ \sf{perimeter \: of \: a \: rectangle = 2(l + b)}} \:[/tex]
[tex] \dashrightarrow{ \sf{63 = 2(l + \frac{1}{2} l}})[/tex]
Distribute 2 through the parentheses
[tex] \dashrightarrow{ \sf{63 = 2l + 2 \times \frac{1}{2} l}}[/tex]
[tex] \dashrightarrow{ \sf{63 = 2l + l}}[/tex]
Add the like terms : 2l and 3l
[tex] \dashrightarrow{ \sf{63 = 3l}}[/tex]
Swap the sides of the equation
[tex] \dashrightarrow {\sf{3l = 63}}[/tex]
Divide both sides by 3
[tex] \dashrightarrow{ \sf{ \frac{3l}{3} = \frac{63}{3}}} [/tex]
Calculate
[tex] \dashrightarrow{ \sf{l = 21 \: in.}}[/tex]
Length of a rectangle = 21 in.
Now, replacing / substituting the value of l in 1/2 l in order to find the width of a rectangle
[tex] \dashrightarrow{ \sf{width = \frac{1}{2} l}}[/tex]
[tex] \dashrightarrow{ \sf{width = \frac{1}{2} \times 21}}[/tex]
[tex] \dashrightarrow{ \sf{width = 10.5 \: in.}}[/tex]
Width of a rectangle = 10.5 in.
Hope I helped!
Best regards! :D
What is the expanded form for 102,200
Answer: 100,000 + 2000 + 200
Hope this helps!
Please mark Brainliest!
Answer:
100,00+2,000+200
Step-by-step explanation:
2. In a survey of 1000 citizens in Seattle, Washington, 570 said they would pay higher prices in order to reduce greenhouse emissions. City planners conclude that between 55-59% of all Seattle citizens would do so.
a. What is the sample here? And what is the population? (1pts)
b. Is this a descriptive or a statistical inference? Why?
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Selected = 1000[/tex]
(a): Samples & Population
The samples are the selected data from an overall population.
In this case, the samples are the selected citizens in Seattle, Washington
Since 1000 citizens were selected
[tex]Samples = 1000[/tex]
Also, since the samples were selected from citizens in Seattle, Washington
Then the population are the citizens in Seattle, Washington
(b): Type of Statistics
From the question, we observe that the data was used to conclude that between 55% and 59% of the population would pay higher price.
This type of statistics is referred to as the inferential statistics.
Which rules define the function graphed below?
Answer:
y = 2x + 3; y = -1/3 x + 3
Step-by-step explanation:
Both lines have y-intercept 3.
The slopes are 2 and -1/3.
The equations are
y = 2x + 3; y = -1/3 x + 3
Answer:
A
y = 2x + 3; y = -1/3 x + 3
Solve for g.
s=4g + 4u
Answer:
[tex]\frac{s-4u}{4}[/tex]
Step-by-step explanation:
[tex]s=4g+4u[/tex]
Switch sides:
[tex]4g+4u=s[/tex]
Subtract 4u from both sides:
[tex]4g+4u-4u=s-4u[/tex]
[tex]4g=s-4u[/tex]
Divide both sides by 4:
[tex]\frac{4g}{4}=\frac{s-4u}{4}[/tex]
[tex]g=\frac{s-4u}{4}[/tex]
Answer:
g= s/4-u
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
The larger of two numbers is four more than the smaller. If the larger is x, what is the smaller?
Answer:
Step-by-step explanation:
x is the larger. The smaller is 4 less than the larger
x - 4 would be the smaller.
Answer:
x-4 is the smaller
What is the decimal number in expanded form for 0.914 meters
QUESTION 7
A patient's surgery is scheduled for 1500 hours. The patient must register two hours before the surgery. At what STANDARD time should the patient arrive to register? Be sure to
indicate AM or PM in your answer
Answer:
1:00 PM
Step-by-step explanation:
1500 hours is 3 PM. 3-2 = 1 So that would be 1 o'clock PM.
Which statement Is true about these three line segments
Answer:
dlgSHJKAGDHFDKFKDK
Step-by-step explanation:
write the ratio 2/7 to 4/5 as a fraction in simplest form
4.Calculate the average rate of change for the given graph from x = 0 to x = 3 and select the correct answer below.
PLEASE HELP
Answer:
I think it's x3-x=0 but is not you can use a math app and take a picture
Answer:
-2
Step-by-step explanation:
(6,0)-(0,3)
It goes don -6 and over 3
-6/3=-2
What is 72% of 87.5?
Is the sum of 10/101 n 22/44 rational or irrational?
Answer:
The answer would be rational. Please mark brainliest.
Step-by-step explanation:
I know this because the number make up a difference of y=mx+b
Suppose the population of a certain city is 3339 thousand. It is expected to decrease to 2694 thousand in 50 years. Find the percent decrease.
Answer:
-19.3%
Step-by-step explanation:
The percentage change in a value is computed from ...
percent change = ((new value) -(old value))/(old value) × 100%
= (2694 -3339)/3339 × 100% = -645/3339 × 100% ≈ -19.3%
The decrease in 50 years is about 19.3%.
Three friends went to the movies. They shared a popcorn and a pack of
candy which cost $9, and altogether they spent $45. a) Write an
expression to represent the situation. b) How much was the price of each
movie ticket?
Answer:
Step-by-step explanation:
A) x+9 =45
x=45 - 9
x=36 cost the tickets
B) 36 :3=12 $cost a ticket