Answer:
The dimensions are 50 yards by 98 yards
Step-by-step explanation:
If the width is w, then the length is 2w - 2. Perimeter can be expressed by 2 * (length + width), therefore:
2 * (2w - 2 + w) = 296
2 * (3w - 2) = 296
3w - 2 = 148
3w = 150
w = 50 so 2w - 2 = 2 * 50 - 2 = 98
Answer:
[tex]\Large \boxed{\mathrm{98 \ yards \cdot 50 \ yards}}[/tex]
Step-by-step explanation:
Let the length be l.
Let the width be w.
[tex]l = 2w - 2[/tex]
The perimeter of the rectangle is 296 yards.
[tex]P = 2l + 2w[/tex]
Plug in the value for l and P.
[tex]296 = 2(2w-2) + 2w[/tex]
Evaluate and solve for w.
[tex]296 = 4w - 4 + 2w \\\\296 = 6w - 4 \\\\300 = 6w \\\\50 = w[/tex]
The width is 50 yards.
Let w = 50 for l.
Evaluate and solve for l.
[tex]l = 2(50) - 2 \\ \\ l = 100 - 2 \\\\l = 98[/tex]
The length is 98 yards.
Multiply.
(3 – 4i)(–2 – 2i)
Enter your answer in the box.
Answer:
[tex]\Huge \boxed{-14 + 2i}[/tex]
Step-by-step explanation:
(3 – 4i)(–2 – 2i)
Expanding brackets.
3(-2 - 2i) - 4i(-2 - 2i)
-6 -6i + 8i + 8i²
Apply imaginary number rule : i² = -1
-6 - 6i + 8i + 8(-1)
-6 - 6i + 8i - 8
Combining like terms.
-6 - 8 - 6i + 8i
-14 + 2i
( 3x + 8 ) - ( 2x + 7 ) when x=3
Answer:
4
Step-by-step explanation:
First, substitute x for 3 and simplify
(9 + 8) - (6 + 7)
Simplify again
17 - 13
Simplifly once more
4
answer 4
method: if x=3
Sol (3(3)+8) - (2(3)+7) changed x=3
Then multiply =(9+8) - (6+7)
Add and subtract = 17-13
Then subtract and you will have your answer =4
Hope it helped
Please mark brainliest :)
You buy six T-bone steaks that cost $15.99 per pound. The weight that is listed on the package is 5.77 pounds. The scale that weighed the package is accurate to within 1 32 pound. How much per kilogram might you be undercharged or overcharged? (Round to the nearest cent.)
Answer:
$0.50
Step-by-step explanation:
Suppose that a person bought six T-bone steaks that cost $15.99 per pound
The weight that is listed on the package is 5.77 pounds.
The scale that weighed the package is accurate to within 1/32 pound
Let assume x is the range of the weight listed on the package,
Then:
[tex]|x-5.77| \leq \dfrac{1}{32} \ --- \ (1)[/tex]
Using the method of absolute value inequality;
[tex]- \dfrac{1}{32} \leq x -5.77 \leq \dfrac{1}{32}[/tex]
[tex]5.77- \dfrac{1}{32} \leq x \leq \dfrac{1}{32}+ 5.77[/tex]
[tex]5.77- 0.03125\leq x \leq 0.03125+ 5.77[/tex]
[tex]5.73875 \leq x \leq 5.80125[/tex]
The amount per kilogram undercharged or overcharged is :
[tex]=\dfrac{1}{32} \times 15.99[/tex]
= $0.50
please help me on this i’ll mark u the brainliest
Answer:
Altitude
Step-by-step explanation:
A segment from a vertex of a triangle at right angles to the opposite side is an altitude.
Thus AB is an Altitude
Allen is showing his work in simplifying-8.3 + 9.2 - 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning. Write feed back to Allen explaining the mistakes he made and how to correct his work
Answer:
Step-by-step explanation:
The question lacks Allen's workings. Find it below.
Step Work Reasoning
−8.3 + 9.2 − 4.4 + 3.7 Original problem
1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse
2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property
3 −8.3 + (4.4 + 9.2 + 3.7) Associative property
4 −8.3 + 17.3 Simplify
5 9 Simplify
Given the equation −8.3 + 9.2 − 4.4 + 3.7, to solve this we are going to be using different properties.
Given three values A, B and C, the following are true:
A-B = A+(-B) Additive inverse
(A+B)+C = A+(B+C) Commutative property
Applying this laws to correct Allen's calculation
Original problem
−8.3 + 9.2 − 4.4 + 3.7
Applying the additive inverse property
−8.3 + 9.2 +(− 4.4) + 3.7 {since product of plus and minus sign still gives a minus sign)
Rearranging the equation based on signs according to the associative property we will have:
−8.3 +(-4.4) + 9.2 + 3.7
Using the commutative property to separate the positive variables from negative variables will give:
{−8.3 +(-4.4)} + {9.2 + 3.7}
Since {−8.3 +(-4.4)} + {9.2 + 3.7} = {9.2 + 3.7} + {−8.3 +(-4.4)}
Simplify the expressions in parenthesis:
= {−8.3 +(-4.4)} + {9.2 + 3.7}
= (-8.3-4.4)+(9.2+3.7)
= (-12.7)+(12.9)
= 0.2
From the above calculation, it can be seen that Allen made an error while using the additive inverse property in his first step. He should not have removed the minus sign. The negative sign was removed from step 1 which makes the remaining steps of his calculation to be wrong. Instead of replacing -4.4 directly with +4.4 he should have used the additive inverse property by replacing -4.4 with +(-4.4).
Answer:
but like can you tell us where he did it wrong
Shen sees this in a supermarket: 5 chickens for $18.25. What is the cost of one chicken
Answer:
$3.65 per chicken
Step-by-step explanation:
Divide the coat of he chickens by the number of chickens.
18.25/5
= 3.65
So one chicken would cost $3.65.
Answer:
$3.65
Step-by-step explanation:
$18.65/5=$3.65
1 chicken=$3.65
PLEASE HELP ME I'LL MAKE YOU BRAINLIEST!!!! In 1972, federal vehicle emission standards 3.4 grams hydrocarbons released per mile driven. By 2007, the standards allowed only 0.8 grams hydrocarbons per mile driven. What was the rate of change from 1972 to 2007? Please show work thank you
======================================================
Work Shown:
x = year
y = amount of hydrocarbon emissions in grams, per mile driven
m = rate of change = slope
m = (y2 - y1)/(x2 - x1)
m = (0.8 - 3.4)/(2007 - 1972)
m = -2.6/35
m = -0.0742857 approximately
The approximate rate of change is about -0.0742857 grams per year. The negative rate of change indicates the per mile hydrocarbon amount has gone down by about 0.0742857 grams each year.
si entre 2 obreros tardan 10 días en hacer una carretera, ¿cuánto tardarán en hacer el mismo trabajo 4 obreros?
Answer:
5 dias
Step-by-step explanation:
10/2= 5
Answer:
Tardarán:
5 días
Step-by-step explanation:
Se trata de una regla de tres:
2 obreros son a 10 días
4 obreros son a W días
W = 10*2/4
W = 5
What is the solution to this system of equations?
x + y = 6
x = y + 4
A: (11/2, 1/2)
B: (21/2, 11/2)
C: (5, 1)
D: (1, 5)
Answer:
(5, 1) (Answer C)
Step-by-step explanation:
Note that the second equation features x as a function of y: x = y + 4. We can substitute y + 4 for x in the first equation, obtaining:
y + 4 + y = 6
and then, after we combine like terms,
2y = 2, or y = 1.
x = y + 4, subbing 1 for y here results in x = 1 + 4, or x = 5
The solution is (5, 1) (Answer C)
280 in standard form
Answer:
it is already in standard form
Step-by-step explanation:
Answer:
2802.8×10²Step-by-step explanation:
The first form above is "standard form" in the US.
The second form above is "standard form" in the UK.
whch expression could be used to change 8 kilometers per hour to meters per minute
Answer:
133.33 meters per minute.
#FreeMelvin
120 men had provisions for 200 days. After 5 days, 30 men died due to an epidemic. The remaining food will last for _______________ Proportion (a) 146 1/4 days (b) 150 days (c) 2251/2 days (d) 260 days
Answer:
the answer is 150 days
Step-by-step explanation:
that is the answer
what number system does 5.12 belong too
Answer:
Decimal Number System
Step-by-step explanation:
5.12 has a decimal in it. Therefore, it belongs to the decimal number system.
There are 12 inches in 1 foot. And there are 3 feet in 1 yard. How many inches are there in 1 yard.
Answer:
36 inches
Step-by-step explanation:
1 yard = 3 feet = 3*12 inches = 36 inches
1 yard = 36 inches
Which expression is equivalent to StartRoot StartFraction 8 Over x Superscript 6 Baseline EndFraction EndRoot? Assume x Greater-than 0. StartFraction x cubed StartRoot 2 EndRoot Over 2 EndFraction StartFraction 4 StartRoot 2 EndRoot Over x cubed EndFraction StartFraction StartRoot 2 EndRoot Over 2 x cubed EndFraction StartFraction 2 StartRoot 2 EndRoot Over x cubed EndFraction
Answer:
D
Step-by-step explanation:
The expression is equivalent to [tex]\rm \frac{2 \sqrt2}{x^3}[/tex]. Option D is correct.
What is the definition of a fraction number?
A fraction number is a number that represents a portion of a larger number, where the larger number might be any integer. It has the shape of a numerator and a denominator.
The given expression is;
[tex]\rm \sqrt {\frac{8}{x^6}}[/tex] x>0
The square root of 8 is 2√2 and x⁶ is x³.
The expression is equivalent to [tex]\rm \frac{2 \sqrt2}{x^3}[/tex].
Hence, option D is correct.
To learn more about fraction numbers, refer to https://brainly.com/question/8602593
#SPJ2
Create a problem where the answer to the problem is your birthday. Make sure you use the Order of Operations. birthday 13
Answer:
2[3+4/-2(3-4)]+3
Step-by-step explanation:
2[3+-2(-1)] +3
2[3+2] +3
2(5) +3
10+3
13
how do solve this (-m ^3)(7z)
Answer:
-7m³z
Step-by-step explanation:
(-m³)(7z) = -7m³z
A 2-column table with 4 rows. Column 1 is labeled Store with entries A, B, C, D. Column 2 is labeled Unit price (per loaf) with entries 1 dollar and 98 cents, 1 dollar and 95 cents, 2 dollars and 1 cent, 2 dollars and 2 cents. From which store should Camillo buy bread to get the best price? Store A Store B Store C Store D
Answer:
B
Step-by-step explanation:
The lowest price in column 2 is $1.95 per loaf, at store B.
Answer: 48.75
Step-by-step explanation:
Question of the day
Jack had lunch with two friends. Their bill for lunch was $29.46.
They want to add a tip of $5.25 and divide the total equally. How
much should each person pay?
.pdf
O $4.57
O $9.82
O $11.57
O 17.36
Answer:
$11.57
Step-by-step explanation:
First, find the total amount they need to pay.
Add the bill for lunch and the tip amount.
bill + tip
The bill was $29.46 and the tip was $5.25
$29.46 + $5.25
$34.71
The total amount with tip is $34.71
Next, find the amount each person should pay.
They want to divide the amount equally. There are 3 total people ( Jack + 2 friends = 3 people). Divide the total ($34.71) by 3.
$34.71 /3
$11.57
Each person should pay $11.57
Write an equation of each line in standard form with integer coefficients. y=4.2x+1.8
Answer: -21x + 5y = 9
Step-by-step explanation:
The standard form says that Ax + By=C
So to covert y = 4.2x + 1.8 into subtract 4.2 from both sides.
y = 4.2x + 1.8
-4.2x -4.2x
-4.2x + 1y = 1.8 Now it is written in standard form and to make the decimals integers we will multiply both sides by 10.
-4.2x(10) + 1y(10) = 1.8(10)
-42x + 10y = 18 which reduces to -21x + 5y = 9
how do i do this and what’s the answer????
Answer:
The correct answer is z = -6.
Step-by-step explanation:
1/3 (2z + 6) = 1/4 (z - 2)
The first step I am going to take is to multiply both sides of the equation by 12 (the least common multiple of 3 and 4). This will eliminate the fractions on both sides of the equations and make the numbers much easier to work with.
4 (2z + 6) = 3 (z - 2)
Next, we can use the distributive property to eliminate the parentheses. This means multiplying each term inside the parentheses by the coefficient on the outside of the parentheses.
8z + 24 = 3z - 6
Now, we can subtract 3z from both sides of the equation.
5z + 24 = - 6
Next, we should subtract 24 from both sides of the equation.
5z = -30
Finally, we can divide both sides of the equation by 5.
z = -6
Therefore, the correct answer is z = -6.
Hope this helps!
Jon borrows 5.50 from his friends to pay for snacks, and 12.75 from his sister to go the movies. How much does he need to repay
Answer:
18.25
Step-by-step explanation:
Add 5.50 and 12.75
5.50 + 12.75 = 18.25
Answer: 18.25
Step-by-step explanation:
name the four U.S cultiral regions
Answer:
(Northeast, South, Midwest, and West) hope is the right answer
Answer: The Northeast, Southwest, West, Southeast, and Midwest
Step-by-step explanation:
2(x + 4) - 5 = 3x + 3
Answer:
x=0
Step-by-step explanation:
2(x+4)- 5 = 3x+3
Distribute
2x+8-5 = 3x+3
Subtract x values
8-5 = x+3
3 = x+3
Final Subtraction
x = 0
Answer:
x=0
Step-by-step explanation:
Use Cymath it helps with problems like that... www.cymath.com
The sum of 4 consecutive even integers is 180. What are the integers?
Answer:
42, 44, 46, 48
Step-by-step explanation:
Let x be the first number. Then x + x + 2 + x + 4 + x + 6 = 180.
We can combine like terms, getting 4x + 12 = 180.
Then we get x as 42.
The numbers are 42, 44, 46, 48.
PLEASE HELP ME REALLY QUICK
Answer:
41
Step-by-step explanation:
BDA = DBC+CBA
84=5x+3 + 6x-7
Combine like terms
84 = 11x-4
Add 4 to each side
84+4= 11x -4+4
88 =11x
Divide each side by 11
88/11 = 11x/11
8 = x
We want angle ABC
ABC = 6x-7
=6*8 -7
=48-7
=41
Answer:
∠ABC = 41°
∠ DBC = 43°
Step-by-step explanation:
6x-7 + 5x+3 = 84
6x + 5x = 84 - 3 + 7
11x = 88
x = 8
∠ABC = 6x-7
= 6*8 - 7
= 48 - 7
= 41°
∠ DBC = 5x + 3
= 5*8 + 3
= 40 + 3
= 43°
I’m confused plz help meeee
If it's up then add then up , or you can trace it and move it up with paper.
Answer:
U'(-3, 1), M'(-1, 4), L'(-2, 0)
Step-by-step explanation:
To do a translation of 5 units up, add 5 to the y-coordinate of each point.
U(-3, -4) ----> U'(-3, -4 + 5) = U'(-3, 1)
M(-1, -1) ----> M'(-1, -1 + 5) = M'(-1, 4)
L(-2, -5) ----> L'(-2, -5 + 5) = L'(-2, 0)
Answer: The translated points are U'(-3, 1), M'(-1, 4), L'(-2, 0)
Solve the following inequalities a) algebraically AND b) graphically.
19) X2 - X - 6 > 0
20) x2-2x - 5 > 3
21) x2 - 4x < 0
Answer:
Step-by-step explanation:
2x-x-5
in how many ways of the permutations of 10 different things taken 4 at a time will one particular thing always occur
Answer:
do as direct
which one of the following is square of 4
2
8
16
64
What is the slope of line m?|
ty
2
-2
-2
DONE
Answer:
-1/2
Step-by-step explanation:
Pick two points on the line
( 0,0) (2,-1)
We can use the slope formula
m = (y2-y1)/(x2-x1)
= (-1-0)/(2-0)
= -1/2
= -1/2