Answer:
A)x=3,x≠-5/3Step-by-step explanation:
to understand thisyou need to know about:equationredical equationPEMDASgiven:[tex] \tt \sqrt{4x + 15} = 3 \sqrt{x} [/tex]let's solve:[tex] \tt \sqrt{4x + 15} = 3 \sqrt{x} [/tex]
[tex] \sf square \: both \: sides : \\ ( \sqrt{4x + 15} {)}^{2} = (3 \sqrt{x} {)}^{2} \\ 4x + 15 = 9x[/tex][tex] \sf cancel \: 9x \: from \: both \: sides : \\ 4x + 15 - 9x = 9x - 9x \\ - 5x + 15 = 0[/tex][tex] \sf cancel \: 15 \: from \: both \: sides : \\ - 5x + 15 - 15 = 0 - 15 \\ - 5x = - 15[/tex][tex] \sf \: divide \: both \: sides \: by \: - 5 : \\ \frac{ - 5x}{ - 5} = \frac{ - 15}{ - 5} \\ \therefore \: x = 3[/tex]A pyramid has a surface area of 539 ft.² what is the surface area of a similar pyramid that is smaller by a scale Factor of 1/7
Answer:
77 ft²
Step-by-step explanation:
Given that:
Surface Area of larger pyramid = 539 ft²
Scale factor of the smaller pyramid = 1/7
Tbe surface area of the smaller pyramid will be :
Scale factor * surface area
1/7 * 539ft²
= 539 ft² / 7
= 77 ft²
Someone please help me with these or at least tell me how it works
la adición de dos números es -17. Calcula el Numero Menor, si el mayor es -8
Step-by-step explanation:
What is 193 + y ≥ 201.
Answer:
y≥ 8
Step-by-step explanation:
Help Plz!!
What system is Y = 2x + 1 and Y = -2x + 5?
A. Consistent system
B. Dependent system
Answer:
consistent
Step-by-step explanation:
help with circle measurements asap plzzzz
Answer:according to the formula of inscribed angle theorem
[tex]3x + 22 = \frac{1}{2 } \times 134[/tex]
[tex]3x + 22 = 67[/tex]
[tex]3x = 67 - 22[/tex]
[tex]3x = 45[/tex]
[tex]x = \frac{45}{3} [/tex]
[tex]x = 15[/tex]
The answer is 15 degrees
how could you represent the following scenarios of the graph ? Silvia has $5.50 in her piggy bank and earns $2
per chore she does at her house.
Answer:
We know that Silvia has $5.50 in her piggy bank, and she earns $2 per chore she does at her house.
So if she does x chores at her house, she will have:
y = f(x) = $2*x + $5.50
where y = her savings.
This is a linear relationship, to graph this, we need to evaluate the function in two different values of x so we can get two ordered pairs.
Then we graph the ordered pairs in the coordinate axis, and then we draw a line that passes through both points.
We can use the points given by x = 0.
y = f(0) = $2*0 + $5.50 = $5.50
Then we have the point (0, $5.50)
and if we use x = 1 we get:
y = f(1) = $2*1 + $5.50 = $7.50
Then we have the point (1, $7.50)
Now we just need to graph the points (0, $5.50) and (1, $7.50), and draw a line that passes through them.
The graph is shown below.
Which of the following functions represents an arithmetic sequence?
Of(n) 3"-4"
Of(n) 3-4
O fm) 374
O fin) - 34
Answer:
Step-by-step explanation:
The O is not part of the function.
f(n) = 3n-4 is an arithmetic sequence. The first term is -1 and the common difference is 3.
find the distance round to the nearest tenth (-8, -6) (-3,-2)
Answer:
[tex]\displaystyle d \approx 6.4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-8, -6)
Point (-3, -2)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-3+8)^2+(-2+6)^2}[/tex][√Radical] (Parenthesis) Add: [tex]\displaystyle d = \sqrt{(5)^2+(4)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{25+16}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{41}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 6.40312[/tex]Round: [tex]\displaystyle d \approx 6.4[/tex]Answer:
6.4
Step-by-step explanation:
d=√((−3−(−8))^2+(−2−(−6))^2)
d=√((5)^2+(4)^2)
d=√(25+16)
d=√(41)
d=6.403124
d=6.4
30 is 5% of what number?
Answer:
let number be x
30=5% of X
3000=5x
X=600
so,5% of 600 is 30
2/5 + 1/3 = ??
It's fractions btw
Answer: 11/15
------------------------------
Answer:
sorry sweetie no
Step-by-step explanation:
propiedad conmutativa resolver 6+5+8 ??
Answer:
19
Step-by-step explanation:
6+5+8=11+8=19
[tex]\frac{2y+1}{3}[/tex]=[tex]\frac{y-2}{4}[/tex]
Hi, could someone help me with these two questions please? Thank you!
help I will give brainiest it will mean alot. find the scale factor
Answer:
Step-by-step explanation:
16:1
If triangle LMN is similar to triangle XYZ, then side LN corresponds to side
Answer:
The side it corresponds to is XZ
26 sit ups in 2 minutes . find the unit rate and how many in 5 minutes
Answer:
Unit rate: 13 sit ups per minute
65 sit ups can be done in 5 minutes
Step-by-step explanation:
Find the unit rate by dividing 26 by 2
26/2
= 13
This means 13 sit ups can be done in 1 minute.
To find how many can be done in 5 minutes, multiply 13 by 5.
13(5)
= 65
So, the unit rate is 13 sit ups per minute, and 65 sit ups can be done in 5 minutes.
At a recent breakfast, four friends paid for their own drinks and shared the cost of a bag of donuts. Joe's drink was $1.75. He paid a total of $3.20 for breakfast. How much did the bag of donuts cost?
Answer:
$5.80
Step-by-step explanation:
To answer, we must first subtract the toal cost Joe paid by the amount he paid for his drink, because ha paid for his drink separately. so:
3.20 - 1.75 = 1.45
And because there were a total of 4 friends, we mulitply the answer by 4:
1.45 * 4 = 5.8
So, the bag of donuts costed $5.80
Hope this helps :)
Francis scores 3 more than 2 times the number of points that Ray scores. If r represents the number of points Ray scores, which expression represents the number of points Francis scores?
1. 5r
2.6r
3.2r+3
4.3r+2
On a scale drawing 1cm represents 4 m.What length on the drawing would be used to represent 6.5 m
Answer:
1.6cm
Step-by-step explanation:
1cm=4m
=6.5m
6.5÷4=1.625 round it off to the nearest tenths=1.6
The width of a rectangular video game cartridge is 2 in. more than the length. The area is 16 in?.
Find the dimensions of the cartridge.
Equation:
Solution:
Mr.Sawyer drove his car from his home to New York at the rate of 45mph and returned over the same road at the rate of 40mph. If his time returning exceeded his time going and his time returning?
Complete question :
Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph. If his time returning exceeded his time going by 30 min, find his time going and his time returning.
Answer:
T1 = 4
T2 = 4.5
Step-by-step explanation:
Difference in time = 0.5 hour
Time = distance / speed
Let distance = d
Time, T1 = d / 45
Time, T2 = d / 40
d/40 - d /45 = 1/2
(45d - 40d) / 100 = 2
45d - 40d = 900
5d = 900
d = 180
T1 = 180 /45 = 4 hours
T2 = 180 / 40 = 4.5 hours
Anyone can help ? I have no clue what the answer maybe
PLEASE HELP ASAP!!
When a ball is dropped, the function () = 4(0.6)x models the ball’s height in feet after each bounce, where x is the bounce number. To the nearest hundredth, what is the height after the third bounce?
Answer:
7.2 feet
Step-by-step explanation:
plug in x = 3 since we are looking for the height after the 3rd bounce
4(0.6)(3)
4(1.8)
7.2
The height after the third bounce is 0.86 feet.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = 4 x [tex]0.6^x[/tex] models the ball’s height in feet after each bounce.
Where x is the bounce number.
Now,
Substituting x = 3,
f(x) = 4 x [tex]0.6^x[/tex]
f(x) = 4 x [tex]0.6^3[/tex]
f(x) = 4 x 0.6 x 0.6 x 0.6
f(x) = 0.864
f(x) = 0.86
The height after the third bounce is 0.86 feet.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ6
help me for brainlist
Answer:
72,000
Step-by-step explanation:
Freddy’s savings account went from $520 to $321 after he purchased a new bike. What was the percent decrease?
Step-by-step explanation:
The bike cost $199 to get $199 you do a number line then label 520 then at the end label 321 so then you do -20 then -100 then -50 then -20 then -9. so now you add them up 20+100+50+20+9 which equals =199
so bike cost $199
then 520%×199= 1034.8
or 520%×321=1669.2
so the percentage is 1669.2 or 1034.8 probably 1669.2 but they bot count.
Please help! I’ll give brainliest but I need help immediately this is due in a couple hours!! Requires all parts done for brainliest! 50 points!
Take a look at the attachment below, it's self explanatory:
I KNOW:
Circular fountain no. 1 diameter is 16 ft
Circular fountain no. 2 radius is 9 ft
I NEED TO KNOW:
How much more is the area of the larger fountain than the area of the smaller fountain.
PLAN AND WORK:
Area of circular fountain no. 1:
[tex]\pi \times8^2=201.06[/tex]
Area of circular fountain no. 2:
[tex]\pi \times9^2=254.47[/tex]
The larger fountain is circular fountain no. 2.
Area of circular fountain no. 2 - Area of circular fountain no. 1
[tex]254.47-201.06=53.41[/tex]
MY SOLUTION:
[tex]\huge \boxed{\sf 53.41 \ ft^2}[/tex]
Plz tell me the answer
What is the equation of a circle with a radius of 7 and centered at point (3, -4)? please help fast!
Answer:
Vertex (3, –4) r = 7
Step-by-step explanation:
[tex](x -3)^{2} + (y+4)^{2} = 49[/tex]
I will give you branilest! This is due and if I fail this I will have an F.
While in New York City, is it a better deal for a group of friends to take a taxi or the subway to get from the Empire State Building to the Metropolitan Museum of Art? Explain your reasoning.
Here is some information about New York City and its transportation system.
Information about NYC taxi cabs:
As of 2020, taxi cabs charge an initial fee of $2.50. Then there is an additional charge of $0.50 per 1/5 mile if the car is traveling about 12 miles per hour. In slower or stopped traffic, the additional fee is $0.50 per minute.
Information about the NYC subways:
As of 2020, a single subway ride is 2.75. However, multiple day passes can be purchased at a discount rate.
Information about the NYC tourist attractions:
The distance between the Empire State Building and the Metropolitan Museum of Art varies between 2.5 miles to 3.2 miles depending on your route.
Answer:
It would definitely be cheaper by Subway..
Step-by-step explanation:
Subway is 2.75 per person and taxi (given all variables) could be close to $20...however, the Subway takes much longer but is still the best bet. Especially if traffic is an issue
Line 6 subway•24m
US$3
Taxi•5m
US$16-US$20