Simplify: x+2/x+3 - x/x-1
Answer:
[tex] \frac{ - 2x - 2}{ {x}^{2} + 2x - 3 } [/tex]
is the answer
the time taken, t, for a journey of fixed distance is inversely proportional to the average speed of travel, s. If the journey takes 2 hours 15 minutes travelling at an average speed of 50km/hour, how long will it take if the average speed is 27km/hour. Give your answer in hours and minutes
[tex]\huge{\color{red}{\fbox{\textsf{\textbf{Answer}}}}} [/tex]
4 hours 12 minutes
Step-by-step explanation:
We need to convert time in hours by diving 15 by 60
[tex] \sf 2 \frac{15}{60} \\ \\ \sf 2 \frac{1}{4} [/tex]
as it is mixed fraction we will convert into improper
[tex] \sf \frac{(2 \times 4) + 1}{4} \\ \\ \sf time = \frac{9}{4} hours[/tex]
Now we need to find distance
[tex] \sf \green {distance = speed \times time}[/tex]
Here speed is 50km/h
[tex] \sf \implies distance = 50 \times \frac{9}{4}km \\ \\ \sf \implies distance = \frac{25 \times 9}{2}km \\ \\ \sf \implies distance = \frac{225}{2} km \\ \\ \sf \implies \red {distance = 112.5km}[/tex]
Now we have to have time at new speed at 27km/h
and distance is same
[tex] \sf \pink{ time = \frac{distance}{speed} }[/tex]
Now substituting the value of speed and distance
[tex] \sf \implies time = \frac{112.5}{27} [/tex]
Now we will remove point(.) from the distance by multiplying 10 with 27
[tex] \sf \implies time = \frac{1125}{27 \times 10} \\ \\ \sf \implies time = \frac{41.6}{10} [/tex]
now we will convert it into mixed fraction
[tex] \sf \implies time = 4 \frac{1}{5} hours [/tex]
Now we will convert fraction hours into minutes by multiply with 60
[tex] \sf \implies time = 4 \: hours \: \frac{1}{5} \times 60 \: minutes \\ \\ \sf \implies \orange{ time = 4 \: hours \: 12 \: minutes}[/tex]
To the nearest tenth, what is the area of a circle whose diameter is 21 inches?
Use 3.14 for PI
Enter your answer in the box.
____in2
If the figures shown are congruent, what is the value of x? (Hint: The sum of the three angles of any triangle is 180°.)
PLEASE HELP FAST WILL GIVE BRAINLY
write an equation in point-slope form for the given point and slope:
point: (-7,5)
slope :3
Answer:
I believe it is y-5=3(x+7)
Step-by-step explanation:
Point Slope form = y-y1=m(x-x1)
The reason that in the problem above it's x+7 is because 7 is a negative number, so we would do the opposite of subtraction, which is addition.
Find the HEIGHT of a cylinder if the volume is 160 and the radius is 4
Step-by-step explanation:
this is the answer
hope it help
NEED HELP ASAP 45 POINTS
What sequence of transformations when applied to triangle HIG, shows that triangle HIG is similar to triangle H’I’G
Answer:
dilation with respect to the origin by a scale factor of 1/3 followed by a translation of 2 units down
Step-by-step explanation:
The sides of the △ HIJ are:
IH = 6
IJ = 3
Applying the scale factor we obtain the sides of △ H'I'J '.
The scale factor is k = 1/3.
Therefore, we have:
I'H '= 2
I'J '= 1
Then, we move the △ H'I'J 2 units down.
“Explain why you can have different values when evaluating an algebraic expression”
Porque Las expresiones algebraicas son combinaciones de variables , números, y por lo menos una operación aritmética.Para evaluar una expresión algebraica, reemplace la variable o variables con valores conocidos y luego utilice el orden de las operaciones .Para su conveniencia, puede usar paréntesis cuando introduzca valores negativos en las variables.
ENGLISH:
Algebraic expressions are combinations of variables, numbers, and at least one arithmetic operation.
To evaluate an algebraic expression, replace the variable(s) with known values and then use the order of operations.
For your convenience, you can use parentheses when entering negative values in variables.
Money needed to raise $1000, sell a dozen of cookies for $3 a dozen. how many dozen of cookies need to be sold to raise $1000?
Answer:
334 dozen cookies.
Step-by-step explanation:
1000=3x
Let x = dozen of cookies sold
3x=1000
x=1000/3
x=333.33
Since 333.33 isn't a whole number, we need to round it up to 334 since rounding it down to 333 won't raise 1000 dollars.
A triangular pane of glass has a height of 36 inches and an area of 396 square inches. What is the length of the base of the pane?
The length of the base of the pane is blank
inches.
Answer:
see the attachment photo!
PLS HELP!!!
The coast guard is out to sea and gets notification that two ships need help. One ship is directly west of the coast guard, and the other is directly south, as shown in the image below. The two ships are 6 miles from each other. Which ship is currently closer to the coast guard?
PLEASE INCLUDE EXPLANATION!!!! THANK YOU!!!
So
cos47=Base/Hypotenusecos47=y/6y=6cos47And
sin47=x/6x=6sin47sin47=0.73
cos47=0.68
So meanwhile sin is greater so 6sin is also greater
x is greatership 2 is closerAnswer:
Ship 2
Step-by-step explanation:
From inspection of the diagram, the problem has been modeled as a right triangle. Therefore, to find [tex]x[/tex] and [tex]y[/tex], use trigonometric ratios then compare to determine which distance is the smallest.
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)To find [tex]x[/tex] use the sine trig ratio:
[tex]\implies \sf \sin(\theta)=\dfrac{O}{H}[/tex]
[tex]\implies \sin(47^{\circ})=\dfrac{x}{6}[/tex]
[tex]\implies x=6 \sin(47^{\circ})[/tex]
[tex]\implies x=4.39 \: \sf miles \:(2\:dp)[/tex]
To find [tex]y[/tex] use the cosine trig ratio:
[tex]\implies \sf \cos(\theta)=\dfrac{A}{H}[/tex]
[tex]\implies \cos(47^{\circ})=\dfrac{y}{6}[/tex]
[tex]\implies y=6 \cos(47^{\circ})[/tex]
[tex]\implies y=4.09 \: \sf miles \: (2 \: dp)[/tex]
As 4.09 < 4.39, ship 2 is currently closer to the coast guard.
equation for parallel and perpendicular
Answer:
Parellel: y=-2x+17
Perpendicular: y=2x-3
Step-by-step explanation:
Hope this helps! ;-)
.A bicycle normally sells for $475. The bicycle was discounted 30% for a
sale. After the sale was over, the new price of the bicycle was 25%
higher than the sale price. What was the new price of the bicycle?
Answer:
415.63
Step-by-step explanation:
Multiply the price by the sales tax to find out how much money the sales tax will add.
Answer:
$415.63
Step-by-step explanation:
475
after 30%
475 times .30 = 142 5
475 - 142.5 = 332.5 <- sale price
332.5 times .25 = 83.125
332.5 + 83.125 = 415.625 <- new price
how to calculate annuity
Answer:
The formula for determining the present value of an annuity is PV = dollar amount of an individual annuity payment multiplied by P = PMT * [1 – [ (1 / 1+r)^n] / r] where: P = Present value of your annuity stream. PMT = Dollar amount of each payment. r = Discount or interest rate.
Step-by-step explanation:
Hope this helps :) :)
f(x) = 3x^2 + 5x find f(3)
Answer:
f(3) = 42
Step-by-step explanation:
f(x) = 3x² + 5x
Then
f(3) = 3(3)² + 5(3)
= 3×9 + 5×3
= 27 + 15
= 42
Tony orders 3 copies of a book online. He pays $2 for
shipping.
Which expression represents his total cost?
Answer:
A. 3b + 2
Step-by-step explanation:
We know that Tony ordered 3 copies and the shipping costs $2, what we don't know is b.
What don't we know? The cost of the 3 copies.
So 3b (3 multiplied by the cost(?)) + (because shipping is more money so we use addition.) and we know that the shipping is $2. Therefore our expression is
3b + 2
10810 5 - 2 + log10 (2x + 10) = log10 (x-4)
Answer:
x=-108117
Step-by-step explanation:
108105-2+1(2x+10)=1(x-4)
108113+2x=x-4
2x-x=-4-108113
x=-108117
what was the price per ounce of a 24-ounce bag of chocolate chips that cost $5.40?
Answer:
22.5¢ per oz
Step-by-step explanation:
24 oz cost = $5.30
1 oz cost = $5.40/24 = 22.5¢ per oz
Answer:
0.22.5
Step-by-step explanation:
0.8 to the fourth power
Points A, B, and Care located on a circle, and chords exist between all three points. If the measure of ZBAC is 88°, what is the measure of BC?
OA. 88°
OB. 92°
O C. 176°
OD. 184°
Answer:
92
Step-by-step explanation:its right
Solve for x, please show work!
Answer:
Can you show me the question? Because the picture doesn't have enough datum
PLEASE HELP!! 35 POINTS!!!
ignore my writing if it’s wrong
Answer: sin(x)=5/11
Step-by-step explanation:
For #7, the hypotenuse is always the longest side of a triangle and in right triangles it's always the side that's opposite the right angle. MO, the side thats 11, is the hypotenuse in this triangle and not the adjacent side which would be NM. Therefore, you need to use sin=opp/hyp and get sin(x)=5/11
please help will mark Brainliest!!
Answer:
The answer is (-2,0)
Step-by-step explanation:
The rest of them is not a right triangle or just upside down.
Hope this helps! ;-)
Next → Post Test: The Pythagorean Theorem and Volume
1
Select the correct answer from each drop-down menu.
50⁰
Z
45⁰
529
What is the area of this composite figure?
Answer:
36.56
Step-by-step explanation:
the area of a circle is r^2×pi (here 2^2×pi) then add the area of the middle rectangle (so 4×6)
What is the value of 0.8–0.6? Write your answer as a fraction in lowest terms
Given expression:
[tex]0.8 - 0.6[/tex]To simplify the expression as a fraction in simplest form, let us multiply both terms by 10. Then, both terms must also be divided by 10.
[tex]\implies \dfrac{[10(0.8) - 10(0.6)]}{10}[/tex]
[tex]\implies \dfrac{[8 - 6]}{10}[/tex]
[tex]\implies \dfrac{[2]}{10} = \dfrac{2}{10}[/tex]
When 2/10 is simplified in lowest terms, we get;
[tex]\implies \dfrac{2}{10} \implies \dfrac{1 \times 2}{5 \times 2} \implies \dfrac{1}{5}[/tex]
Therefore, 0.8 - 0.6 in fraction form is 1/5.
Isabel used integers to record her costs and earnings from face painting at a fair. she spent $25 on face-painting supplies. She earned $144 by painting faces.
How does Isabel record her costs and earnings?
Please help me ASAP
Answer:
-25 on painting supplies, +144 painting faces, +119 net gain
Step-by-step explanation:
spent = negative
earned = positive
net gain = earned - spent (sometimes it can be negative is you spend more than you make)
PLEASE HELP IM SO STUCK ON THIS!!!!!
Based on the number of ways to answer the multiple choice questions and the number of ways to answer true or false, the number of ways to answer the test is 8,192 ways.
How many ways can the test be answered?This can be found as:
= Total number of ways to answer multiple choice questions + Total ways to answer true or false questions
Solving gives:
= (4 x 4 x 4) x (2 x2 x2 x 2 x 2 x 2 x 2)
= 64 x 128
= 8,192 ways
Find out more on the number of ways to do things at https://brainly.com/question/4658834.
#SPJ1
What is the domain of the function graphed below?
O X<7
O x<_7
O-2
O all real number
Reason:
The domain is the set of allowed x inputs.
The graph shows an open hole at x = 7, meaning that 7 itself isn't part of the domain. But any value smaller than this will be part of the domain. So that's why we go for x < 7.
The value x = -1 is allowed since we have a closed endpoint for one of the pieces here.
The arrow pointing to the left indicates that piece goes on forever in that direction.
Answer:
x < 7
Step-by-step explanation:
The domain of the function is less than 7 as indicated by the open dot. (a closed dot indicates ≥ or ≤)
At x = -1, it is part of the domain because there is at least one closed dot indicating it is part of the domain.
The domain of the function is :
x < 7In triangle ABC, mZA = 47° and mZB= 70°
B
70
47
A
С
What is the measure of angle C?
Enter your answer as the correct value. like this: 42