Answer: 4,5
Step-by-step explanation:
The actual length of the Olympic-size swimming pool which is drawn by Christina on the scale model is 50 meters.
What is scale factor?
Scale factor is the factor which is used to enlarge or smaller the original figure.
Scale factor is the ratio of representation measurement of the figure to the original figures.
Christina drew a scale model of an Olympic-size swimming pool using a scale in which 3 centimeters represents 10 meters.
Thus, the scale factor is for cm to m,
[tex]r=\dfrac{3}{10}\rm[/tex]
The length of the pool in her drawing is 15 centimeters. Let the length of the actual pool is x cm. Thus,
[tex]\dfrac{15}{x}=\dfrac{3}{10}\\x=50\rm \; m[/tex]
Thus, the actual length of the Olympic-size swimming pool which is drawn by Christina on the scale model is 50 meters.
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Solve using the quadratic formula.
9p2 - 4p - 8 = 0
determine the length of a chord whose central angle is 75° in the circle with the radius of 12 inches.
Answer:
Step-by-step explanation:
other two sides joining center to the ends of chord=radius of circle=12 in
using cosine formula
[tex]cos A=\frac{b^2+c^2-a^2}{2bc} \\2bc cos~A=b^2+c^2-a^2\\\angle A=75^\circ\\b=c=r=12~in\\2*12*12~cos~75=12^2+12^2-a^2\\a^2=2*12^2-2*12^2 cos ~75\\a^2=2*12^2(1-cos 75)\\a=12\sqrt{2(1-cos~75)} \approx 14.6~inches[/tex]
Write the quadratic equation in standard form:
4x-7= -5x^2
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
5x^2 + 4x - 7 = 0
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
5 Filipe paid $250 for 5 video games. that were all the same price He used a deal that took $15 off his entire purchase. What was the original cost of each game?
Answer:
$53.00
Step-by-step explanation:
250+15=265
265÷5= 53
250 is the discounted price, 265 is the original price. Take the original oprice divide it by 5 (the number of games Filipe bought).
Answer: 53
Steps:
5x - 15 = 250
5x = 250 + 15
5x = 265
x = 265/5
x = 53
Check:
5x - 15 = 250
5(53) - 15 = 250
265 - 15 = 250
250 = 250 ✅
I would appreciate “the brainliest” if this was helpful, correct, and steps were clear :)
Drag the tiles to the correct boxes to complete the pairs.
Consider the functions below.
Match the expressions to the correct function combinations.
Answer:
Step-by-step explanation:
i took the test on plato
For (x+3) → (f/g)(x), for x^3-15x^2+27x+243 → (f.g)(x), for x^2-5x-36 → (f+g)(x), for x^2-7x -18 → (f-g)(x) represents correct combination.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
[tex]\rm f(x) = x^2-6x-27[/tex] and
[tex]\rm g(x) = x-9[/tex]
[tex]\rm (f+g)x = x^2-6x-27+x-9\\\\(f+g)x = x^2-5x-36[/tex]
[tex]\rm \dfrac{f}{g}(x) = \dfrac{x^2-6x-27}{x-9}\\\\\\rm \dfrac{f}{g}(x) = \dfrac{(x+3)(x-9)}{x-9}\\\\\rm \dfrac{f}{g}(x) = x+3[/tex]
[tex]\rm (f\times g)(x) = (x^2-6x-27)(x-9)\\\\\rm (f\times g)(x) =x^3-15x^2+27x+243[/tex]
[tex]\rm (f-g) = x^2-6x-27-(x-9)\\\\\rm (f-g) =x^2-7x -18[/tex]
Thus, for (x+3) → (f/g)(x), for x^3-15x^2+27x+243 → (f.g)(x), for x^2-5x-36 → (f+g)(x), for x^2-7x -18 → (f-g)(x) represents correct combination.
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Solve for x. I need help please
Answer:
The answer is 1 & 7/8 or the middle option
hello, last question about this assignment. please answer asap if you can and show work. thanks
Answer:
52 in^2
Step-by-step explanation:
If the diameter = 3 in, then the radius = 1.5 in.
To find the surface area, you need to find the area of the two circle areas (the base and the top of the cylinder) and the "sides" of the cylinder. If you look at the net shape of a cylinder, look at the picture below. That middle region aka the "side" of the cylinder is actually a rectangle. The length of the rectangle is also the circumference of the circle and the width is also the height of the can.
So:
2 * Area of the circle + rectangle = total surface area of the can
= 2(πr^2) + 2πrh
= 2π(1.5^2) + 2π(1.5)(4)
= 2π(2.25) + 12π
= 4.5π + 12π
= 16.5π
≈ 51.8
≈ 52 in^2
How many solutions does the system have?
y= -2x - 4
y= 3х + 3
Answer:
One solution
Step-by-step explanation:
The system has one solution and that is (-1.4, -1.2)
First person to answer both of these will get 10 points and Brainliest. But your answer has to be correct!
Answer:
The correct answer to a is 3 1/2 same answer for the other answer.
Answer:
a. 7/2 OR 3 1/2 Either answer should be acceptable
b. 82/15 OR 5 7/15 Either answer should be acceptable
Step-by-step explanation:
a. 5 3/4 = so first multiply the denominator, 4, by the whole number 5 so 4 x 5 is equal to 20. Add this to your numerator, 3.
20 + 3 = 23 so the new fraction is 23/4
Same thing with 2 1/4 4 x 2 = 8 + 1 = 9 9/4
23/4 - 9/4 = 14/4 simplify this to 7/2
b. Same process here:
7 2/3 3 x 7 = 21 + 2 = 23 23/3
2 1/5 5 x 2 = 10 + 1 = 11 11/5
This time, we need a common denominator
3 x 5 = 15
5 x 3 = 15
23/3 x 5/5 = 115/15
11/5 x 3 = 33/15
115/15 - 33/15 = 82/15
If the mean of 5 numbers is 36 , what is the 5 th number if four of the numbers are 27 , 42, 43, and 35
Answer:
33
Step-by-step explanation:
To find the mean of 5 numbers, you add the 5 numbers and divide by 5.
Let the unknown number = x.
(27 + 42 + 43 + 35 + x)/5 = 36
(x + 147)/5 = 36
x + 147 = 180
x = 33
Answer: 33
Line t intersects line u , as shown below.
What is the value of x
Answer:
54
Step-by-step explanation:
Find x
(2x + 50)
(3x - 10°)
final answer needs to equal 90°!!!! Please help ??
Martin is making bracelets with yarn and has 4 yards of yarn. Each bracelet takes (1/6) of a yard of yarn. How many bracelets can he make?
Answer:
24
Step-by-step explanation:
if he splits 1 yard into 6 pcs for 6 bracelets 4 times, thats 24 pieces of yarn that are 1/6 of a yard long meaning he can make 24 bracelets
Subtract:
8 1b, 12 oz. - 5 lb, 5 oz.
Answer:
wouldn't it be 3lb and 7oz
What is the value of this expression?
-18/3
How do you know if an equation represents a proportional relationship?
Answer:
If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate.
Step-by-step explanation: brainllest pls
PLZZZZZZZZ HELPPPPPPPP WILL MARK BRAINLIEST
Answer:
b≤−16
Step-by-step explanation:
Answer:
b = -16
Step-by-step explanation:
(1/2)b + 2 ≤ -6
-2 -2
(1/2)b ≤ -8
x2 x2
b ≤ -16
Plug in b as -16
(1/2)-16 + 2 ≤ -6
-8 + 2 ≤ -6
-6 ≤ -6
Delonte has 1,350 followers on social media. Each week, the number of followers increases by 2%. Which function represents his number of followers for w weeks?
Answer:
1350(1.02)^w
Step-by-step explanation:
hope this helped
Brandon and Denny are playing a video game. Brandon has 3 times as many points as Denny l. Brandon has 12 points. How many points does Denny have?
Answer:
it is 4
Step-by-step explanation:
12 ÷ 3 = 4
3 x 4 = 12
4 x 3 = 12
James has 21 cups of flour. He will pour the flour equally into 4 containers. How many cups of flour will be in each container?
Answer:
5.25 cups of flour
Step-by-step explanation:
4 containers - 21 cups of flour
1 container - 21 cups of flour ÷ 4 = 5.25 cups of flour
Answer: 5 1/4 cups of flour will be in each container
Step-by-step explanation:
21 ÷ 4= 5.25
5.25= 5 1/4
hope this helps i have no idea why i am typing in bold letters
need help ASAP !!!
[tex] \sqrt{2563 \times 2563} [/tex]
Answer:
√{2563×2563}=√2563²=±2563
What do balloon mortgage and ARM have in common?
Answer:
In other respects, a balloon mortgage resembles an adjustable rate mortgage (ARM) with an initial rate period equal to the balloon period. A 7-year balloon, for example, is usually compared to a 7-year ARM. Both have a fixed-rate for 7 years, after which the rate will be adjusted.
Step-by-step explanation:
Answer:
Both are subject to current market rate after the initial rate period.
Step-by-step explanation:
PLEASE I NEED HELP- :,)
Answer:
x > 12
Step-by-step explanation:
since it is an open circle on 12 shading to the right we know it will be a greater than symbol on 12 so x > 12
Answer:
x>12
Step-by-step explanation:
It is an open circle so it does not include 12 and all values are greater than 12.
FIFTY POINTS AND ILL GIVE BRAINLIEST TO THE RIGHT ANSWER!
Find the sum, difference, product, and quotient of 6 x 10^-4 and 1.5 x 10^
-4. Write your answers in scientific notation.
The sum is__
The difference is__
The product is__
The quotient is__
Answer:
The sum is
6 × 10⁻⁴ + 1.5 × 10⁻⁴ = 7.5 × 10⁻⁴The difference is
6 × 10⁻⁴ - 1.5 × 10⁻⁴ = 4.5 × 10⁻⁴The product is
6 × 10⁻⁴ × 1.5 × 10⁻⁴ = 9 × 10⁻⁸The quotient is
6 × 10⁻⁴ ÷ 1.5 × 10⁻⁴ = 4Dots sells a total of 290 T-shirts ($2) and shorts ($4) . In April, total sales were $678. How many T-shirts and shorts did Dots sell?
Answer:
241 t-shirt and 49 short
Step-by-step explanation:
lets call shorts x and tshirts y
x+y=290 (first equation)
4x+2y=678 (second equation) { we multiply the price of short with the short so we can get the pieces sold and also with the t-shirt to get the pieces sold)
x=290-y
and substitute it with x in the second equation
4(290-y)+2y=678 then till u get to y=241 (the pieces sold)
290-241=49 (pieces sold)
so as proof 49+241=290 pieces sold
as proof also 4*49=196 price of all shorts sold
2*241=482 price of all t-shirts sold then add them together and u will get 196+482=678$
Terrell has $2,700 in his checking account and $1500 in his savings account. He
uses his checking account to pay bills, which are $240 each month.
a) In how many months will his checking account balance equal his savings account
balance?
b) If Terrell deposited an additional $720 in his savings account, in how many
months will his balances be the same?
Answer:
1.8 month and they wouldnt
Step-by-step explanation:
brainalist
The number of months when both accounts have the same balance is 5 months. If $720 is deposited each month in the saving account, then the number of months when both accounts have the same balance is 1.25 months.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Terrell has $2,700 in his financial records and $1500 in his bank account. He utilizes his financial records to take care of bills, which are $240 every month.
Let 'x' be the number of months. Then the equation is given as,
1500 = 2700 - 240 x
240 x = 1200
x = 5 months
Assuming Terrell kept an extra $720 in his bank account. Then the equation is given as,
1500 + 720 x = 2700 - 240 x
960x = 1200
x = 1.25 months
The quantity of months when the two records have a similar equilibrium is 5 months. On the off chance that $720 is kept every month in the saving record, the number of months when the two records have a similar equilibrium is 1.25 months.
More about the solution of the equation link is given below.
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Y=3/2x+1/6 I need help?
Answer:
4/8
Step-by-step explanation:
Answer:
X=4
Step-by-step explanation:
3/2x+1/6=3/12x=4x
what is 4.5(x - 9)= -13.5
Answer:
6
Step-by-step explanation:
4.5(x-9)=-13.5
((distribute the 4.5 to the x (4.5x) and distribute the 4.5 to the -9 (-40.5)))
4.5x-40.5=-13.5
4.5x=27
x=27/4.5
x=6
The perimeter of rectangle ABCD is 72. The ratio of the lengths of the sides
is 1:2. What are the lengths of the sides?
a. 12 and 18
b. 12 and 24
c. 4.5 and 9
d. 6 and 12
Answer:
Step-by-step explanation:
The two lengths of the rectangle ABCD will be 12 and 24
What will be the length of the rectangle?It is given that
The perimeter of the rectangle
P=72 units
The ratio of the length
[tex]\dfrac{a}{b}=\dfrac{1}{2}[/tex]
Now from the formula of the perimeter of the rectangle
[tex]P= 2(a+b)[/tex]
[tex]\dfrac{a}{b}=\dfrac{1}{2}[/tex]
[tex]b=2a[/tex]
[tex]2(a+2a)=72[/tex]
[tex]6a=72[/tex]
[tex]a=12[/tex]
[tex]b=2\times 12=24[/tex]
Thus the two lengths of the rectangle ABCD will be 12 and 24
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Without solving determine the number of real solutions for each quadratic equation
b^2-4b+3=0
2n^2 + 7 = -4n + 5
x - 3x^2 = 5+ 2x - x^2
Answer:
Step-by-step explanation:
Answer:
b^2-4b+3=0
b²-3x-b+3=0
b(b-3)-1(b-3)=0
(b-3)(b-1)=0
either
b=3 or b=1
.
2n^2 + 7 = -4n + 5
2n²+4n+7-5=0
2n²+4n+2=0
2(n²+2n+1)=0
(n+1)²=0/2
:.n=-1
.
x - 3x^2 = 5+ 2x - x^2
0=5+ 2x - x^2-x +3x^2
0=5+x+2x²
2x²+x+5=0
comparing above equation with ax²+bx +c we get
a=2
b=1
c=5
x={-b±√(b²-4ac)}/2a ={-1±√(1²-4×2×5)}/2×1
={-1±√-39}/2