9514 1404 393
Answer:
2(x -2) = 5
Step-by-step explanation:
If x represents the number, then the difference of the number and 2 is ...
x -2
Twice the difference is ...
2(x -2)
"equals 5" means that product is equal to 5. The appropriate equation is ...
2(x -2) = 5
_____
In case you want a solution ...
Dividing by 2, we get ...
x -2 = 5/2
Adding 2 gives the value of the number:
x = 2 +5/2 = 9/2
x = 4 1/2
The number is 4 1/2.
runners on different lanes on oval races trake have different starting marks. why?
Answer:
So, how the racing track is shaped, the inner line are faster because of the smaller inside of the oval, so basically the outside lane takes longer to run than the inside lane.
Let me know if you need more explaining, the picture might help.
A rope is stretched from the top of a 7-foot tent to a point on the
ground that is 10 feet from the base of the tent.
7 ft
10 ft
How long is the rope? Approximate to the nearest tenth if necessary.
O A. 3 ft
B. 7.1 ft
C. 12.2 ft
O D. 17 ft
PLS I NEED HELPPP
Answer:D is wrong, Its C: 12.2 ft
Step-by-step explanation:
Find the area of the trapezoid.
9.5 cm
5 cm
13.5 cm
Answer:
if one base is 9.5 cm and the other is 13.5 cm. The height is 5 cm.
the answer is 57.5
Step-by-step explanation:
Area= base1+base2/2*h
Area= 9.5 + 13.5 / 2 * 5
Area= 23/2 *5
Area = 11.5 *5
Max rewrote the function f(x) = 4x² + 16x + 8 in vertex form by completing the square.
He concluded that the vertex is (-2, 4), which was incorrect. Consider Max's work, listed below.
In which step did Max make a mistake?
Step 1: f(x) = 4x² + 16x + 8
Step 2: f(x) = 4(x² + 4x) +8
Step 3: f(x) = 4(x² + 4x + 4) +8-4
Step 4: f(x) = 4(x + 2)² +4
The quadratic function f(x) = 4x² + 16x + 8 can be expressed in vertex form
Max's error is in step 3
How to determine the error in the function?The function is given as:
[tex]f(x) = 4x^2 + 16x + 8[/tex]
Factor out 4
[tex]f(x) = 4(x^2 + 4x) + 8[/tex]
Take the coefficient of x
[tex]k = 4[/tex]
Divide by 2
[tex]k/2 = 2[/tex]
Square both sides
[tex](k/2)^2 = 4[/tex]
Add and subtract 4 to the bracket
[tex]f(x) = 4(x^2 + 4x + 4 - 4) + 8[/tex]
Expand
[tex]f(x) = 4(x^2 + 4x + 4) + 8 - 16[/tex]
By comparing the above equation to step 3 of Max solution, we can determine that Max's error is in step 3
Read more about vertex quadratic function at:
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I need help on this, please explain how you get the result.
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
We have the equation:
[tex]34\cdot 3^{x-2}-2\cdot 3^{x-3}=0.8\cdot 10^{x-2}+10^{x-3}[/tex]
Let's simplify this a bit. Let [tex]u=x-2[/tex]. Then [tex]u-1=x-3[/tex]. We can substitute the exponents:
[tex]34\cdot3^u-2\cdot 3^{u-1}=0.8\cdot 10^u+10^{u-1}[/tex]
Use the properties of exponents, we can write [tex]3^{u-1}=\frac{3^u}{3}[/tex]. We can do the same thing on the right. So:
[tex]34\cdot3^u-2\cdot \frac{3^u}{3}=0.8\cdot 10^u+\frac{10^u}{10}[/tex]
We can now factor out a [tex]3^u[/tex] from the left and a [tex]10^u[/tex] on the right. This yields:
[tex]3^u(34-2\cdot\frac{1}{3})=10^u(0.8+ \frac{1}{10})[/tex]
Evaluate the expressions within the parentheses:
[tex]3^u(34-\frac{2}{3})=10^u(\frac{9}{10})[/tex]
Evaluate:
[tex]3^u(\frac{100}{3})=10^u(\frac{9}{10})[/tex]
Now, let's multiply both sides by [tex]\frac{3}{100}[/tex]. So:
[tex]3^u=10^u(\frac{9}{10})(\frac{3}{100})[/tex]
Also, let's divide both sides by [tex]10^u[/tex]. Multiply on the right:
[tex]\frac{3^u}{10^u}=\frac{27}{1000}[/tex]
Therefore:
[tex]3^u=27\text{ and } 10^u=1000[/tex]
We can now substitute back u. Notice that 27 is the same as 3 cubed and 1000 is the same as 10 cubed. So:
[tex]3^{x-2}=3^3\text{ and } 10^{x-2}=10^3[/tex]
Since they have the same base, their exponents must be equal. Therefore:
[tex]x-2=3[/tex]
Add 2 to both sides:
[tex]x=5[/tex]
So, the value of x is 5.
And we're done!
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y=3x-7
Step-by-step explanation:
y=mx+b
m is growth
b is when the x-axis point=0
Diego ran a race in 80 minutes. The race started at
11:38 a.m. What time did he finish the race?
12:18 a.m.
1:58 p.m.
A
11:56 a.m.
12:58 p.m.
If Diego started the race at 11:38 am and finished in 90 minutes, then the time he will finish the race is 12:58 pm, the correct option is D.
What is an Equation?An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.
The equations are useful in determination of unknown parameters.
The equations are of various types, such as Trigonometric equations, quadratic equations.
Diego ran a race in 80 minutes, the race started at 11:38 a.m.
The time Diego ran a race in is 80 minutes.
The time he started at 11:38 am
Let he finish the race at x hours.
The equation can be written as,
x = 11:38 + 80 minutes
60 min = 1 hour
80 minutes = 1 hour 20 minutes
x = 11: 38 + 1 :20
x = 12: 58 pm
The time he will finish the race is 12:58 pm.
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The state of wyoming is almost rectangular with an approximate width of 365 miles and an approximate height of 276 miles. If you fly across the state from opposite corners, what is the best approximation of the distance you travel?
A.) 448
B.) 458
Please show work!
Answer:
458 miles
Step-by-step explanation:
Build a right triangle as shown in the attached image, Then solve using the Pythagorean theorem.
458 miles
Find the area of the triangle
Please help
Answer:
25.83 m²
Use the eq A=hb/2
Answer:15.96m^2
Step-by-step explanation:
At East College, 7776 students are in the freshman class, 6750 are sophomores, 6750 are juniors, and the rest are seniors. About 18% of students in each class are in the performing arts. If there are 27,000 undergraduates at the school, how many are seniors?
Answer
5724
Step-by-step explanation:
7776+6750+6750
=21276
27000
-21276
=5724
Tickets for a concert are $8 for children and $12 for adults. How many child tickets and adult tickets can be purchased for a total cost of $100?
Answer:
5 Adults Tickets5 Child Ticketscan be sold for a total of $100
Step-by-step explanation:
We can do this, 8+12=20
20x5=100
So, we have to do...
20x5=100$
That means, that there can be 5 Tickets of Adults sold and 5 Tickets of children sold in total for 100 dollars.
Thanks!
Mark me brainliest!
~[tex]FieryAnswererGT[/tex]~
Help me pleaseeeee !!!!!!!!
Answer:
Step-by-step explanation:
13). K( - 5 , - 2 ) ----> ( - 5 - 6 , - 2 - 2 ) = K'( - 11 , - 4 )
14). Rule of the reflection in the y-axis is ( x , y ) -----> ( - x , y )
L( 1 , - 3 ) -----> L'( - 1 , - 3 )
15). Rule of the 90° Counterclockwise rotation is ( x , y ) -----> ( - y , x )
Z( - 7 , 2 ) ----> Z'( - 2 , - 7 )
16). Rule of the dilation by the scale "k" is ( x , y ) ----> ( kx , ky )
F( - 4 , 6 ) ----> ( - 4*1.5 , 6*1.5 ) = F'( - 6 , 9 )
17). Rule of the reflection in the x-axis and the dilation by the scale "k" is
( x , y ) -----> ( kx , - ky )
X( - 3 , 9 ) -----> ( - 3*(1/3) , - 9*(1/3) ) = X'( - 1 , - 3 )
megan bought 50 beads for $9.95 she recieved 15% discount. How much was the discount
Answer: $9.49 hope this helps
Step-by-step explanation:
f(x)=x+4 key feature table
Answer:
See explanation
Step-by-step explanation:
Not sure what a ket feature table is, but the features of this function are as follows:
-linear function
-Slope of 1
-y-intercept at positive 4
Hope this helps!
6. The perimeter of a rectangle is 48 feet, and the length is 16 feet. What is the area?
Answer: 256 ft²
Step-by-step explanation:
The perimeter is calculated by:
P = 2l + 2w
so we know:
48 = 2(16) + 2w
48 - 32 = 2w
w = 16 feet
So the area is 16 x 16 = 256 ft²
(4/-5) ÷ (-3/10)
A) 12/50
B) -18.6
C) 8/3
D) -12/50
Answer:
2.666666667 is the answer
Step-by-step explanation:
8/3 is the answer............
Blood type AB is found in only 3% of the population. If 290 people are chosen at random, find the probability of the following
Answer:
8.7 out of the 290 would have AB blood type, you could round it to 9
While shopping, Kyla found a dress that she would like to purchase, but it costs $49.50 more than she has. Kyla charges $5.50 an hour for babysitting. She wants to figure out how many hours she must babysit to earn $49.50 to buy the dress.
Answer:
9 hours
Step-by-step explanation:
We can do this 2 ways but I think you will want this the easiest way :)
So we can divide:
49.50/5.50
9
Or we can multiply and keep multiplying 5.50 by different numbers until we get 49.50 or over (this way will take longer)
5.50 x 1
5.50 x 2
and so on and so fourth
With the first way we figued out she will need to babysit for 9 hours :)
Have an amazing day!!
Please rate and mark brainliest!!
Name and discuss two way in which a student can pay for his or her studies if their parents can't afford it?
Answer:
They can get a fast food job if they are age 14 depending on state.They can mow neighbor's lawns or plow snow for money.Hope this helps!If so, give thanks! PLEASE HELP
Which equation shows y= 3x -1/2 in standard form?
5x-15y=1
15x-5=1
15x+15y=-1
5x-15 y=-1
Answer:
15x-15y=-1 that's is the answer
Arranged in order from greatest to least.
2.6
-1.9
-0.8
3.7
Answer:
the ones that r closer to the zero ___0___-0.5___-1 are greater
-0.5 > -1
Step-by-step explanation:
3.7
2.6
0.8
-1.9
yo im smart now
Answer:
3.7
2.6
-0.8
-1.9
Step-by-step explanation:
you will wonder how -0.8 is greater then -1.9
it is because there is the use of negative sign (- )
and in negative sign larger digits are smaller due to use of negative sign
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x2 + 3x - 4 = 6 any one know how to solve this
Answer:
-5,2
Step-by-step explanation:
make one side equal zero, x2 + 3x - 10
use guess and check to reverse foil and find (x+5)(x-2)
solve and get x = -5 , 2
Answer (it has two solutions):
x = -5x = 2I hope this helps!
The X Hotel has an occupancy rate of 97% during busy season and 62% during the rest of the year. It makes $80 (revenue - variable costs) per room per night. Busy season accounts for 30% of the year. After covering it's $4M in annual fixed costs, the total profit for the Pinkerton Hotel was $4,468,000. How many rooms are in the X Hotel? 400 O 650 150 200
Using proportions, it is found that there are 200 rooms in hotel X.
What is a proportion?A proportion is a fraction of a total amount.
The X Hotel has an occupancy rate of 97% during busy season(30% of the year) and 62% during the rest of the year(70%), hence the mean occupancy rate is of:
R = 0.3 x 97% + 0.62 x 70% = 72.5%.
The total profit for the Pinkerton Hotel was $4,468,000, hence considering that it makes $80 per room per night, in a 365-day year:
80N x 0.725 x 365 = 4,468,000
N = 4,468,000/(80 x 0.725 x 365)
N = 211.
Which is closest to 200, hence, there are 200 rooms in hotel X.
More can be learned about proportions at https://brainly.com/question/24372153
At a birthday party, 5 boys and 3 girls are seated in a row. How many different arrangements are possible if there are no boys between any two girls?
Answer:
Basic Concept:
Since there are no boys between 2 girls, we will take the 3 girls as 1 single unit and permute the seats
We have 6 slots (5 for boys and 1 for all 3 girls)
We have 6 slots and 6 people to sit on them (taking the 3 girls as one)
Permutations:
So, the total number of seating arrangements is 6P6
which will be equal to 6 factorial (6P6 = [tex]\frac{n!}{n! - r!}[/tex] = [tex]\frac{6!}{6! - 6!}[/tex] = 6! (since 0! = 1))
Total possible seating arrangements = 6!
Total possible seating arrangements = 720
A marathon is approximately 26.2 miles. Your friend says that if you
continue to run at this speed, you will not be able to complete a marathon
in less than 4 hours. Is your friend correct? Explain.
Answer:
yes because it would take about 6 hours and 55 minutes.
Step-by-step explanation:
26.2 × 4=6.55
Answer 6.55 or 6 hours and 55 minutes
The speed of Your friend will be 6.55 miles per hour.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
A marathon is approximately 26.2 miles. Your friend says that if you continue to run at this speed, you will not be able to complete a marathon in less than 4 hours.
The speed of Your friend will be
S = 26.2 / 4
S = 6.55 miles per hour
The speed of Your friend will be 6.55 miles per hour.
More about the speed link is given below.
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A camera has a listed price of $760.95 before tax. If the sales tax rate is 7.25% , find the total cost of the camera with sales tax included.
Answer:
After sales tax is applied, the camera will cost $816.12! The sales tax will be $55.17.
In the equation 0.44 x 0.72 = n, what is the value of n?
Answer:n=0.3168
Step-by-step explanation:
Answer:
n = .3168
Step-by-step explanation:
Multiply .44 by .72.
You can use a calculator to do this or do it by hand.
If you choose to do it by hand, multiply using long multiplication without paying mind to the decimals, and then when you are finished, add the decimal four places to the left (at the very beginning of the number you should get). So, 3168 becomes .3168, or your final answer.
Sorry, I cannot really show all the steps of the multiplication itself on a computer but I hoped this helps :)
help please. its homework
Answer:
Right
Step-by-step explanation:
Answer:
Right-angle
Step-by-step explanation:
When a triangle has one angle = 90 degree it is called an right angle triangle
I NEED HELP ASAP 10.6=2.9b+1.9 answer for b!
Answer:
3
Step-by-step explanation:
We need to isolate the b.
1. Subtract 1.9 from both sides of the equation.
8.7 = 2.9b
2. Divide 2.9 from both sides of the equation.
3 = b
b = 3
Original price: $340.00
markdown 50%.
Answer:
50/100(50%) x 340 = $170
If there is a 50% markdown, you would need to take 50%(1/2) away from the original price.
Answer:
$170
Step-by-step explanation:
Given the following question:
50% of 340
To find the answer we must first find 50% of 340 by using the formula to calculate percentages, and then subtract that answer from the original price to have our markdown.
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{50\times340}{100}[/tex]
[tex]50\times340=17000[/tex]
[tex]17000\div100=170[/tex]
[tex]=170[/tex]
Now subtract from original price:
[tex]340[/tex]
[tex]340-170=170[/tex]
[tex]=170[/tex]
The new price after a 50% markdown is "$170."
Hope this helps.