Answer:
The width of the is 4 inches
Step-by-step explanation:
Assume that the width of the frame is x
∵ The width of the fame is x inches
→ That means each dimension will increase by 2x ⇒ x from each side
∵ The portrait has dimensions of 30“ x 60“
∴ Its dimensions including the frame = (30 + 2x) × (60 + 2x)
∴ The total area of the portrait plus frame = (30 + 2x)(60 + 2x)
→ Multiply the brackets
∵ (30 + 2x)(60 + 2x) = 30(60) + 30(2x) + 2x(60) + (2x)(2x)
∴ (30 + 2x)(60 + 2x) = 1800 + 60x + 120x + 4x²
→ Add the like terms
∴ (30 + 2x)(60 + 2x) = 1800 + 180x + 4x²
∴ The total area of the portrait plus frame = 4x² + 180x + 1800
∵ The total area of the portrait plus frame = 2584 square inches
→ Equate the two right sides of the area
∴ 4x² + 180x + 1800 = 2584
→ Subtract 2584 from both sides
∴ 4x² + 180x + 1800 - 2584 = 0
→ Add the like terms in the left side
∴ 4x² + 180x - 784 = 0
→ Divide all terms by 4 to simplify
∴ x² + 45x - 196 = 0
→ Factorize it to find the value of x
∵ x² + 45x - 196 = (x - 4)(x + 49)
→ Equate the right side by 0
∴ (x - 4)(x + 49) = 0
→ Equate each factor by 0
∵ x - 4 = 0
→ Add 4 to both sides to find x
∴ x = 4
∵ x + 49 = 0
→ Subtract 49 from both sides to find x
∴ x = -49 ⇒ refused it x can not be -ve (no negative dimensions)
∴ The width of the is 4 inches
Determine the slope of the line that contains the given points
(1-7) (5-7)
Answer:
the answer is 4
Step-by-step explanation:
Rise/run
y2-y1/x2-x1
7-7/1/5
4
Answer:
0/4
Step-by-step explanation:
7/5 - 7/1
Making the answer become 4
How do you do letter c?
Answer:
1056
Step-by-step explanation:
dP/dt = 0.0013P (1 − P/6200)
Euler's method states:
yₙ₊₁ = yₙ + Δt F(tₙ, yₙ)
Substituting:
P(t+1) = P(t) + (1) [0.0013 P(t) (1 − P(t)/6200)]
P(t+1) = P(t) + 0.0013 P(t) (1 − P(t)/6200)
We know that when t=0, P=1000.
P(1) = P(0) + 0.0013 P(0) (1 − P(0)/6200)
P(1) = 1000 + 0.0013 (1000) (1 − 1000/6200)
P(1) = 1001.1
Repeating the pattern, we get P(50) is:
P(50) = 1055.7
Rounded to the nearest whole number, P(50) = 1056.
Help me please!! I’ll mark as brilliant!!
Liam’s mass is 102.1 kg
Choose the best approximation of Liam’s mass
A. 1 x 10^1
B. 1 x 10^2
Earth has an estimated mass of 5,972,000,000,000,000,000,000,000 kg
Choose the best approximation of earth’s mass
A. 6 x 10^21
B. 6 x 10^24
Approximately how many times as large is earth’s mass as liam’s mass?
A. 6 x 10^20
B. 6 x 10^21
C. 6 x 10^22
The answers are :
1. Liam has approximated mass equal to 1 × 10² kg.
2. Earth has approximated mass equal to 6 × 10^24 kg
3. Earth's mass is larger than Liam's mass by 6 × [tex]10^{22}[/tex].
What is algebra ?
Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.
1)
Liam's mass is 102.1.
To represent the decimal number in approximation we need to multiply the first digit by power of 10 by moving the decimal place.
i.e., decimal number 102.1 can be written as :
= 1.02 × 10² kg
because decimal place moved towards left by 2 places.
or
= 1 × 10² kg
2)
Earth has an estimated mass of 5,972,000,000,000,000,000,000,000 kg.
This can be written as :
= 5.97 × 10^24
or
= 6 × 10^24 kg
3)
The earth's mass is larger than Liam's mass by :
= [tex]\frac{6 * 10^{24}}{1*10^{2} }[/tex]
= 6 × [tex]\frac{10^{24} }{10^{2} }[/tex]
= 6 × [tex]10^{22}[/tex]
Therefore , the answers are :
1. Liam has approximated mass equal to 1 × 10² kg.
2. Earth has approximated mass equal to 6 × 10^24 kg
3. Earth's mass is larger than Liam's mass by 6 × [tex]10^{22}[/tex].
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Which is an equation of the line with a slope of 2 that passes through ( 3 , 1 )?
[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]
let the solution be [tex] ax + by - c = 0 [/tex]
let the solutions be a = 3, b = 1
[tex] 3x + y = 0 [/tex] is the equation with consistent value.
Answer:
the answer is -1
Step-by-step explanation:
im just tyna get my points thats all
Daniela y Jorge can en bicicleta y salen del mismo lugar, Daniela avanza 6km y luego retrocede 2km mientras que Jorge avanza 8km y retrocede 5km.
¿A que distancia se encuentra uno del otro?
¿Quien ha avanzado más de los dos?
¿Quien ha recorrido más km?
Answer:
a) 1 km
b) Amaya
c) Jorge
HOPE THIS HELPS ;P
Assume that you have an ordinary deck of 52 playing cards. How many possible 7- card pocker hands are there that contain at least one face card (Jack, Queen, or King)?
Answer:
There are 115141000 possible ways.
Step-by-step explanation:
Since it is a 7 – card pocker hands, then the total number of poker hands will be:
[tex]\binom{52}{7}[/tex]
Also, the total number of hands without figure cards is
[tex]\binom{40}{7}[/tex]
This is because there are 12 cards with figures (4 x J, Q, K).
Therefore, the number of hands with at least one figure will be:
[tex]\binom{52}{7} - \binom{40}{7}[/tex]
And this would be
133784560 – 18643560 = 115141000
There are 3 cats in a room and no other creatures.each cat has 2 ears, 4 paws, and 1 tail
So there is a total of 6 ears, 12 paws, and 3 tails in the room.
Answer:
In the room there should be 6 ears, 12 paws, and 3 tails in total.
if you do it ill mark you brainly plz do it
Answer:
A
Step-by-step explanation:
To find the change, we do final-beggining
since his first rating is -7 and his final rating is -2
-2-(-7)
Jose gets his hair cut for $12. He gives his barber a
15% tip. How much does he give the barber for a tip?
(If you have big brain plz help me)
Answer: $3
Step-by-step explanation:
If you want to tip 15%, then the total tip amount would be $2.40 plus half of that again ($1.20), which is $3.60.
Jose gives the barber a $1.80 tip.
What is a percentage?A percentage is a ratio or number that may be expressed as a fraction of 100. Moreover, it is denoted by the sign "%."
Given information:
Jose gets his hair cut for $12.
He gives his barber a 15% tip.
To calculate the tip, we need to find 15% of the cost of the haircut.
15% can be written as a decimal as 0.15.
So, the tip amount is:
0.15 x $12 = $1.80
Therefore, Jose gives the barber a $1.80 tip.
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E
2) Mrs. Anderson spent $305.70 at
Target. If the sales tax is 6%, what was
her final bill?
Square root of 24 using perfect squares
24 is not a perfect square.
What is a Perfect Square ?A perfect square is a number that can be written as a product of an integer and another integer itself.
To determine the square root of 24
24 = 6 * 4
6 square can be drawn of 4 small squares
[tex]\rm \sqrt {24} = \sqrt{ 4*6} \\\\=\sqrt{4} * \sqrt{6} \\\\= 2 \sqrt{6}[/tex]
Therefore 24 is not a perfect square.
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write 6.085 in word form
Sales for May were $8,475. Calculate the markdown percent for May if the buyer took the following markdowns during the month: 21 shirts from $38 to $21, 15 shorts from $25 to $17, 32 halter tops from $32 to $22, 7 pants from $60 to $40, 8 skirts from $50 to $40
Answer:
kailangan mo ba sagot luh asa ka
Step-by-step explanation:
d kailangan ng brainy Kasi lahat ng tao asa lng
Which of the following is not a method used on graphs to lead the reader to misinterpret the graph?
a.
Use inconsistent scales on one or both axes.
b.
Reverse the x- and y-axes to obtain a more convincing graph.
c.
Comparing two sets of related data on the same graph for the sake of comparison.
d.
Begin the scale of one or both axes at a number other than zero without notifying the reader.
its C
Answer:
Answer C is right
Step-by-step explanation:
edg 2021 got it right, its c
The method that is not used on graphs to lead the reader to misinterpret the graph is - Comparing two sets of related data on the same graph for the sake of comparison.
What is graph?A graph is a intersection of {x} and {y} axis. On the graph, the coordinate points can be plotted in the form (x, y). In this, {x} represents the horizontal distance along the {x} axis and {y} is the vertical distance along the {y} axis.
Given is to identify the methods that are not used on graphs to lead the reader to misinterpret the graph.
The method that is not used on graphs to lead the reader to misinterpret the graph is - Comparing two sets of related data on the same graph for the sake of comparison.
Therefore, the method that is not used on graphs to lead the reader to misinterpret the graph is - Comparing two sets of related data on the same graph for the sake of comparison.
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1.682 inches rounded to the nearest whole number is 1 inches?
It's closer to 2, so it would be rounded from 1.682 in to 2 in.
Answer:
No, its most likely 2
Step-by-step explanation:
6 is closer to 10
hope this helps :) btw if ya like rap follow my brother on yt his rap his name is Ghxstboiireaper
Simplify this expression
[tex]2 \sqrt{5(13 + \sqrt{2)} } [/tex]
Answer:
16.9789
You can round the answer
Answer:
D. [tex]26\sqrt{5} + 2\sqrt{10}[/tex]
Step-by-step explanation:
[tex]2\sqrt{5}(13+\sqrt{2})\\ \\26\sqrt{5}+2\sqrt{5}*\sqrt{2}\\\\\\26\sqrt{5}+2\sqrt{5}*2\\\\26\sqrt{5}+2\sqrt{10}[/tex]
Write the ratio as a fraction in simplest form. A class has 8 boys and 14 girls. What is the ratio of boys to girls?
Answer:
4/7
Step-by-step explanation
8:14
8/14
4/7
So the answer is 4/7
m< AED = 16y + 10. Find the value of y so that ED I AB.
Full question attached:
Answer and explanation:
To calculate y in the equation <AED=16y+10 we first find the value of angle AED from the diagram(attached)
From the diagram, we can see that <AED = 180 degrees given that <AED is angle on a straight line=180 degrees.
The line AB is therefore perpendicular to line ED
Hence we calculate y in the equation <AED= 16y+10
180= 16y+10
180-10=16y
16y=170
y=170/16
y= 10.625
On picture day, the students are placed in order from tallest to shortest. Place the following students in order from tallest to shortest.
Javien is 4 2/3 feet tall
Danny is 3 11/12 feet tall
Samiya is 4 1/6 feet tall
Taylor is 4 7/8 feet tall
Answer:
4 7/8, 4 2/3, 4 1/6, 3 11/12
Step-by-step explanation:
To make it easier, convert it into decimals
4 2/3=4.666...
3 11/12=3.9166...
4 1/6=4.166...
4 7/8=4.875
PLZ Help Urgent. 15 POINTS, BRAINLY Guaranteed.
Plz Answer honestly or you will be reported.
Evaluate.
(−2)^6
Enter your answer in the box.
Answer:
-64
Step-by-step explanation:
I used a calculator lol.
The Williams are buying a house that costs $323,000 and can afford a 10% down payment. If the Williams want the lowest monthly payment, which loan option would you recommend? 15 year fixed, 5% down at a fixed rate of 5.5% b. 30 year FHA, 3.5% down at a fixed rate of 6.25% 30 year fixed, 20% down at a fixed rate of 5.75% d. 30 year fixed, 10% down at a fixed rate of 6%
Answer:
The awnser is D
Step-by-step explanation:
Edge 2020!
The loan option that has a 30 year period with the maximum down
payment the Williams can afford as well as a low rate is recommended.
Response:
The recommended loan option is option d. 30 year fixed, 10% down at a fixed rate of 6%.Which factors gives the loan with the lowest monthly payments?The given information are:
The amount at which the Williams are buying the house = $323,000
Percentage of down payment he can afford = 10%
Required:
The loan with the lowest monthly payment.
Solution:
The lowest fixed monthly payment is given by the loans that have the
longest period in which to pay back the loan, which includes the options;
b. 30 year FHA, 3.5% down at a fixed rate of 6.25%
c. 30 year fixed, 20% down at a fixed rate of 5.75%
d. 30 year fixed, 10% down at a fixed rate of 6%
Given that the Williams can afford a 10% down payment, option b. and
option c are the possible options.
The interest rate for option b is higher and option b has a lower down
payment than the interest rate and down payment for option c.
The lower the down payment, the higher the monthly payment.Therefore;
The option that has the overall lowest monthly payment is option d.
d. 30 year fixed, 10% down at a fixed rate of 6%.Learn more about monthly payment for a loan here:
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at the amusement park there were t shirts for sale for 18.95 each james bought 4 of them about how much did he spend??
Which statement is most likely to show a constant rate of change???
A. The outside temp compared with the time of day.
B. The cost of a new car compared with the number of tires it has.
C. The weight of a child compared with its age in months.
D.The distance traveled by a truck driving at a constant speed compared with time.
I believe you answer would be D) The distance traveled by a truck driving at a constant speed compared with time.
CH4 + O2 → CO2 + 2 H2O
Help with evaluate and graph PLEASE HURRY
Answer:
Box 1 = -1
Box 2 = 8
Box 3 = 14
If LIAR is a parallelogram, what is the value of X?
R
A
377x+3)
(2x+3
O A. 42
O B. 20
O c. 71.5
O D. 35
O E. 82
O F. 38.
The answer is B) 20 .
37 + (7x + 3) = 180
7x = 180 - 37 - 3
7x = 140
x = 20
Therefore, x = 20.
Answer:
20
Step-by-step explanation:
The opera theater manager believes that 23#% of the opera tickets for tonight's show have been sold. If the manager is accurate, what is the probability that the proportion of tickets sold in a sample of 869869 tickets would differ from the population proportion by less than 3%3%
Answer:
0.9642
Step-by-step explanation:
Sample proportion p follows a Normal distribution with mean = p0 = 0.23 and Standard deviation = √P0(1 - P0) / n = √0.23(1-0.23) / 869 = 0.0143
Then Z = p - mean / Standard deviation = X - 0.23 / 0.01343
P(0.2<p<0.26) = P(p<0.26) - P(p<0.2)
= P(p-023/0.0143 < 0.26-0.23/0.0143) - P(p-0.23/0.0143 < 0.2-0.23/0.0143)
= P(Z < 2.1) - P(Z < -2.1)
= 0.9821 - 0.0179
= 0.9642
1.682 inches rounded to the nearest whole number is 1 inches?
Answer:
True
Step-by-step explanation:
5 or higher round up 4 or lower round down
What is the product of 7×-6 1/8
Answer:
-42.875 or -42 7/8
Step-by-step explanation:
you can turn -6 1/8 into a decimal: -6.125 and multiply it with 7.
The product of the fraction 7 x -(6 1/8) is -42.875 or in fraction form -42 7/8.
We have expression: 7 x -(6 1/8).
First, write the mixed fraction into improper fraction as
Numerator = 8 x 6 + 1 = 49
Denominator = 8
Now, the product will be
7 x -(6 1/8)
= 7 x (-49/8)
= 7 x (-6.125)
= -42.875
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Estimate the square root of 24 to the nearest tenth
Answer:The answer is 4.9
Step-by-step explanation: Step 1: Calculate. We calculate the square root of 24 to be: √24 = 4.89897948556636.
Step 2: Reduce. 4.89.
Step 3: Round. Round 4.89 so you only have one digit after the decimal point to get the answer: 4.9.