Answer:
The equation used to solved to determine the dimensions of the backyard is 51 = 4w - 10.4
Step-by-step explanation:
As given,
The backward is rectangular in shape
Also , we know that
Area of rectangle = 2 ( Length + Breadth )
Also, given,
Breadth of the backyard = 5.2 + Length of the backyard
Let
length of the backyard = l
Breadth of the backyard = w
∴ we get
w = 5.2 + l
⇒l = w - 5.2
and
Area = 2 ( l + w)
⇒51 = 2( w - 5.2 + w)
⇒51 = 2 ( 2w - 5.2)
⇒51 = 4w - 10.4
So, the equation used to solved to determine the dimensions of the backyard is 51 = 4w - 10.4
By solving we get
4w = 51 + 10.4
⇒4w = 61.4
⇒w = [tex]\frac{61.4}{4}[/tex] = 15.35
⇒ w = 15.35
⇒ l = w - 5.2 = 15.35 - 5.2 = 10.15
⇒l = 10.15
So the dimensions of the backyard = l × b = 10.15 m × 15.35 m
The diagram shows a right angled triangle.
Find the size of angle x.
give your answer correct to 1 decimal place.
Answer:
34.8°
Step-by-step explanation:
sin x = 8/14 = 4/7
x = arcsin (4/7) = 34.8°
The length of the subway is 900 miles.If 1 inch represents 45 miles ,what is the length of the subway on the map
Answer:
Step-by-step explanation:
The length of the subway is 900 miles.
So if 1 inch is 45....we want to find it for 900 miles
900/45 = 20
So it will be 20 inches for 900 miles
Check by using ratio
1 : 45
2 : 90
3 : 135
4 : 180
5 : 225
6 : 270
7 : 315
8 : 360
9 : 405
10 : 450
11 : 495
12 : 540
13 : 585
14 : 630
15 : 675
16 : 720
17 : 765
18 : 810
19 : 855
20 : 900
1 - 20 = inches
45 - 900 = miles
So for 900 miles, it will be 20 inches long
Hope this helped!
Have a supercalifragilisticexpialidocious day!
what is the value of x?
Step-by-step explanation:
A = midpoint so the left line = right line
3x = 5x - 6
5x - 6 = 3x
5x - 3x = 6
2x = 6
x = 3
0.15 irrational or rational
Answer:
rational...bcz it can be written in the form of p/q
that's 15/100
it is rational number
Step-by-step explanation:
plz make me brainliest
Please help me with this
Answer:
True
Step-by-step explanation:
Cuz if u substitute (3,-3/2) it would work
Y = 1/2x - 3
-3/2 = 1/2(3)-3
-3/2 = 1.5 - 3
-3/2 = -1.5
& -3/2 is -1.5 as a decimal lol
Which of the following ordered pairs, when graphed on a standard
coordinate plane, is located in quadrant I?
______________________________
1.) First you need to graph all the ordered pairs:(I have included the graph below)
2.) Then you determine which pairs are in the top left quadrant:[tex]=(-2\frac{1}{3},\frac{1}{3})[/tex]So your answer is only [tex]\bold{(-2\frac{1}{3},\frac{1}{3})}[/tex].
______________________________
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B and C
Step-by-step explanation:
Answer:
Is C
Step-by-step explanation:
60 = 6y
if you divide both by 6
So y = 10
which change in the equation would shift the entire graph to the left?
Explain the prices of dividing two fractions
Answer:
When dividing two fractions, the process is very easy. You simply multiply the numerator fraction by the reciprocal of the denominator fraction. In other words:
[tex]\frac{a}{b} \div \frac{c}{d} \\= \frac{a}{b} \times \frac{d}{c} \\= \frac{a \times d}{b \times c}[/tex]
Immediate help ASAP whats the value of f(8)
Answer:
[tex] \large \boxed{f(8) = 27}[/tex]
Step-by-step explanation:
Goal
Find f(8)Given
Equation[tex]f(x) = \frac{1}{2} {x}^{2} - ( \frac{1}{4} x + 3)[/tex]
Step 1
Substitute x = 8 in the equation and replace f(x) with f(8).[tex]f(8) = \frac{1}{2} {(8)}^{2} - ( \frac{1}{4} (8) + 3)[/tex]
Step 2
Evaluate the value of f(8).[tex]f(8) = \frac{1}{2} (64) - ( \frac{8}{4} + 3) \\ f(8) = 32 - ( \frac{2}{1} + 3) \\ f(8) = 32 - (2 + 3) \\ f(8) = 32 - (5) \longrightarrow 32 - 5 \\ f(8) = 27[/tex]
Hence, the value of f(8) is 27.
Akira and Hideo are twins with different jobs. Akira earns five-eighths of what Hideo earns, but Akira’s expenses are half of Hideo’s. Akira ends up saving 40% of his income. What percentage of his income does Hideo save?
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Answer:
25%
Step-by-step explanation:
Apparently, we're to assume that anything not spent is saved.
Let Hideo's income be 1. Then Akira's income is 5/8. Akira's expenses are 60% = 3/5 of that value, so ...
Akira's expenses = (3/5)(5/8) = 3/8 . . . . . of Hideo's income
Hideo's expenses are twice this amount, so ...
Hideo's expenses = (2)(3/8) = 3/4 . . . . . of Hideo's income
That means Hideo saves 1 -3/4 = 1/4 = 25/100 = 25% of his income.
Hideo saves 25% of his income.
8x+6 factorise fully
Answer:
2(4x+3)
Step-by-step explanation:
We need to find what is the most common between 8x and 6. The only number here is 2 that is common between them.
That will be on the outside of the bracket.
So if we divide 2 from both terms.
8x ÷ 2 = 4x
6 ÷ 2 = 3
Let's put it all together.
2 first.
Our x term and 3 in brackets.
2 (4x+3)
There we go!
solve: (3-x)(4x+3)<(2x-1)(3-x)
Please refer to the above attachment
What is the volume, in cubic inches, of one cube with an edge length of inch?
Answer:
We know that each cube with a -inch edge length has a volume of cubic inch, because . Since the prism is built using 24 of these cubes, its volume, in cubic inches, would then be , or 3 cubic inches.
Step-by-step explanation:
For a=40, simplify 2a divide by 5 is
Answer: 16
Step-by-step explanation:
Rephrase the expression
2a divide by 5
2a/5
Given value
a=40
Substitute the value into the expression
2a/5
=2(40)/5
=80/5
=16
Hope this helps!! :)
Please let me know if you have any questions
A mermaid has a terrarium that measures 42 inches × 10 inches × 9 inches. She also has a box that measures 3 inches × 3 inches × 3 inches. Every minute, the mermaid fills the box with sand from her backyard and then pours the sand into the terrarium. How many minutes does it take the mermaid to fill three-quarters of the terrarium with sand?
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Answer:
105 minutes
Step-by-step explanation:
The volume of the terrarium is ...
V = LWH
V = (42 in)(10 in)(9 in) = 3780 in³
The volume of a box is ...
V = (3 in)(3 in)(3 in) = 27 in³
Then the number of boxes it takes to fill the terrarium is ...
(3780 in³)/(27 in³/box) = 140 boxes
The mermaid wants to fill it 3/4 full, so only needs 3/4 this number of boxes. That is 105 boxes. At the rate of 1 per minute, ...
it will take 105 minutes to fill 3/4 of the terrarium
Jamal drives 3 times the hours that Danielle does. Jamal and Danielle drive for a total of 8 hours. How long did each person drive?
Answer: Danielle drive for 2 hours
Jamal drives for 2 × 3 = 6 hours
Step-by-step explanation:
Let the number of hours that Danielle used in driving to be represented by x.
Since Jamal drives 3 times the hours that Danielle does. This will be:
= 3 × x = 3x
Since Jamal and Danielle drive for a total of 8 hours. This can be formed into a equation as:
x + 3x = 8
4x = 8
x = 8/4
x = 2
Danielle drive for 2 hours
Jamal drives for 2 × 3 = 6 hours
Please help ASAP I’m having trouble with these problems there’s only 3 :(
Answer:
sorry i cant read it
Step-by-step explanation:
25+2-15÷3=?
Pls Help me
Answer:
22
Step-by-step explanation:
15/3= 5
25+2=27
27-5= 22
Hope this helps
find the volume of the earth if the diameter is 7917.5
Answer:
Step-by-step explanation:
diameter=7917.5
r=3958.75
the earth is sphere
V=4/3x3.14xr^3
V=2.6*10^11
98.25 centimeters converted to milimeters
Answer:
982.5
Step-by-step explanation:
1 cm = 10 mm
98.25 cm * 10mm =
982.5
The price of all rail tickets increased by 5 %.
The price of a rail ticket from London to Ipswich increased by £2.30
Work out the price of the ticket before the increase.
Answer:
Step-by-step explanation:
New price = (1 + 5%) x old price
New price = 1.05 x old price
old price = 2.3 / 1.05
Old price = £2.19
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Answer:
£46
Step-by-step explanation:
The increase is ...
0.05 · price = £2.30
Multiplying by 20 gives ...
price = 20(£2.30) = £46.00
The price of the ticket before the increase was £46.00.
x=10 and y=10 is it intercepting parallel or same line?
Answer:
Parallel lines have the same slope. Because the functions \displaystyle f\left(x\right)=2x+3f(x)=2x+3 and \displaystyle j\left(x\right)=2x - 6j(x)=2x−6 each have a slope of 2, they represent parallel lines. Perpendicular lines have negative reciprocal slopes. Because −2 and \displaystyle \frac{1}{2}
2
1
are negative reciprocals, the equations, \displaystyle g\left(x\right)=\frac{1}{2}x - 4g(x)=
2
1
x−4 and \displaystyle h\left(x\right)=-2x+2h(x)=−2x+2 represent perpendicular lines.
Answer:
Intercepting.
Step-by-step explanation:
The line x=10 is a straight vertical line going through all the points where x=10, as the equation suggests.
The line y=10 is a horizontal line going through all the points where y=10.
When you graph them, they intersect in a perfect cross.
Evaluate the function at the given values.
f(x) = 6x - 4
a. f(9)
b.10-
c. f)
a. f(9)
Answer:
f(9) = 50
f(-10) = -64
Step-by-step explanation:
Given the function
f(x) = 6x - 4
f(9) = 6(9)-4
f(9) = 54-4
f(9) = 50
b)f(-10)
f(-10) = 6(-10) - 4
f(-10) = -60 -4
f(-10) = -64
3x - 4y =7
3x - 4y =9
Answer:
No solution
Step-by-step explanation:
Write and evaluate the expression. Then, complete the statements. Ten less than the quotient of thirty and a number Evaluate when t=2
Answer:
expression: (30/t) - 10
evaluation: 30/2 - 10 = 5
Step-by-step explanation:
Can someone please help with this question? I’ll give brainliest
Answer:
1,and 4
Step-by-step explanation:
Answer:
the first one
Step-by-step explanation:
Because an expression to be equivalent they should both have same sign and Variables
The middle one. Pls answer I need it for homework
I feel like the answer is either b or d
Answer:
I believe it is the last one
Step-by-step explanation:
OK SO I NEED HELP WITH THIS:
My cousin Throckmorton is in a bind. He owes $10000 on a credit card. He can only afford to make $250 payments every month. Unfortunately, since he missed an earlier payment, he is now stuck with the penalty APR of 28%..
Throckmorton makes his payments on time for the next two years.
g) How much total did throckmorteon pay towards his credit card?
h) How much does Throckmorton still owe on the credit card?
i) How much of his money went towards interest?
Hint: i would make a chart.
i barley started on the chart so i dont know what to do
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Answer:
g) $6000 ($528.18 to principal)
h) $9,471.82
i) $5471.82
Step-by-step explanation:
You can make a chart, as you have started. Such a chart is often referred to as an amortization schedule. The basic idea would be to show how each payment is distributed to interest and principal. The attached shows such a spreadsheet (with a few rows hidden). It is described in more detail below.
__
g) The total amount paid is 24 payments of $250 each, so $6000. These payments reduced his amount owed by $528.18. (We don't know if "toward his credit card" means "to the creditor" or "to pay his debt".)
__
h) The amount still owed is $9,471.82 (the ending balance after the 24th payment)
__
i) $5,471.82 went toward interest.
_____
Spreadsheet details
The first "Beg Bal" is the $10,000 owed. Each one after that is copied from the "New Bal" cell on the previous line.
Each "to interest" quantity is the product of the beginning balance and the monthly interest rate. The cell reference to the interest rate needs to be an absolute reference, so it remains the same when copying the formula to other cells.
The "to Principal" amount is the difference between the payment amount and the amount "to interest." The reference to the payment amount cell also must be an absolute reference.
The "End Bal" amount is the difference between the "Beg Bal" and the amount "to Principal".
As you can see, the payment math is not difficult. There is one multiplication (by the interest rate) and the rest is subtraction.
Note that the numbers in this spreadsheet are rounded by the display. In a real payment situation, the interest due amount would be rounded to the penny before being used in other calculations. The way we have done it will result in a few cents difference in the ending balance from the value if the interest were actually rounded at each step.