With some give information, we need to solve some algebraic problems that involve a change of units, lets see step by step how we do that:
A) First, we know that:
The bridge was constructed in 2.5 years
Knowing that 1 year = 12 months, we can rewrite:
2.5 years = (2.5)*(12 montsh) = 28 months
The two crews built, together, 12,513 ft of the bridge.
Now, we know that the South Padre Island crew built an average of 208.5 per month.
Then in the 28 months for the whole construction, they built 28 times that amount:
D = (28 months)*(208.5 per month) = 5,838 ft
Then the rest was constructed by the Port Isabel Crew.
They constructed 12,513 ft - 5,838 ft = 6,675ft
So that crew constructed 6,675 ft in 28 months, then the average number of feet built per month (the quotient between the total amount built and the number of months in which that was built) is:
6,675 ft/28 months = 238.39 ft per month.
b)
South Padre Island crew constructed 5,838 ft
Port Isabel Crew constructed 6,675ft
Now we want to transform these to miles.
Remember that;
1 mille = 5280 ft.
Then to transform from ft to miles, we just need to divide our measures by 5280 ft
Then:
South Padre Island crew constructed 5,838 ft = (5,838ft/5280ft) mi = 1.11 mi
Port Isabel Crew constructed 6,675ft = (6,675ft/5280ft) mi = 1.26 mi
c) Is this answer reasonable?
Mathematically, yes, both crews constructed about the same in about the same time, with a small difference that may be related to the sizes of each crew or something like that.
We could conclude that this would not be reasonable if the monthly rates were dramatically different.
If you want to learn more, you can read:
https://brainly.com/question/15051367
Solve each for X. Show your work
3(2x - 1) + 2(x + 5) = 47
3(2x - 1) + 2(x + 5) = 47
6x - 3 + 2x + 10 = 47
6x + 2x = 47 + 3 - 10
8x = 40 / : 8
x = 5 ← the end
Answer:
x = 5
Step-by-step explanation:
[tex]3(2x - 1) + 2(x + 5) = 47[/tex]
[tex]6x - 3 + 2(x + 5) = 47[/tex]
[tex]6x - 3 + 2x + 10 = 47[/tex]
[tex]8x - 3 + 10 = 47[/tex]
[tex]8x + 7 = 47[/tex]
[tex]8x = 47 - 7[/tex]
[tex]8x = 40[/tex]
[tex](8x \div 8 = 40 \div 8 = x = 40 \div 8 )[/tex]
[tex]x = 5[/tex]
Help me pleaseee!!
Would appreciate ^^
**BRAINLIST, thanks and points***
Answer:
22:25 26:Yes 4900 27: 6 and 18 28: 44,100 and 48,024,900
Step-by-step explanation:
for 22-25 see answer #2. They gave a better answer in total.
Answer:
22. 30
prime factorization of 30
2 × 3 × 5
so there is no simplification needed here
23. 126
2 × 3 × 3 × 7
simplification
2 × × 7
24. 4900
2 ×2 × 5 × 5 × 7 ×7
simplification
25. 39204
2 × 2 × 3 × 3 × 3 × 3 × 11 × 11
simplification
26 .
Yes 4900 is a square number it's square root is 70
you can even cross-check
70 × 70
= 4900
and even 39204 is a square number it's square root is 198
you can even cross-check
198 × 198
= 39204
Hence 2 numbers 4900 and 39204 are square numbers
27 .
i. highest common factor of 30 and 126
factors of 30 are 2 × 3 × 5
factors of 126 are 2 × 3 × 3 × 7
now find common between them
common factors are 2 and 3
so multiply 2 and 3
2 × 3
= 6
6 is the highest common factor
ii. 126 and 39204
factors of 126 are 2 × 3 × 3 × 7
factors of 39204 are 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11
now find common between them
common factors are 2 × 3 × 3
= 18
18 is the highest common factor
28 .
1 . 126 and 4900
factors of 126 are 2 × 3 × 3 × 7
factors of 4900 are 2 ×2 × 5 × 5 × 7 ×7
make the pairs of the numbers
2 ×2 × 5 × 5 × 3 × 3 × 7 ×7
= 44100 least common multiple
ii. 4900 and 39204
factors of 39204 are 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11
factors of 4900 are 2 ×2 × 5 × 5 × 7 ×7
make the pairs of the numbers
2 ×2 × 3 x 3 x 3 x 3 x 5 x 5 x 7 x 7 x 11 x 11
= 48024900 least common multiple
Which fraction is greater,2/3 or 25/15?
Answer:
[tex]\frac{25}{15}[/tex] is greater.
Step-by-step explanation:
25÷15=1.67
2÷3=0.67
1.67 is greater than 0.67, so [tex]\frac{25}{15}[/tex] is greater.
Also, [tex]\frac{25}{15}[/tex] is an improper fraction, and [tex]\frac{2}{3}[/tex] is a proper fraction. Improper fraction mast be greater than a proper fraction.
Luke went to the grocery store. It took him 15 minutes to drive to the store from his house, 30 minutes to shop, 5 minutes to put groceries in his car, and 20 minutes to drive home due to traffic. What percentage of the trip did Luke spend inside his car
Answer:
50%
Step-by-step explanation:
35/70 is .5 as a fracion. multiple .5 by 100 to get your percentage.
Answer:
50%
Step-by-step explanation:
Step 1: 15 + 30 + 5 + 20 = 70
Step 2: 15 + 20 = 35
35/70
Step 3: 35 ÷ 70 = 0.5
Step 4: 0.5 x 100 = 50
50%
help me with this ixl pleaseeeeeeeeee
Step-by-step explanation:
J(-3,9)
k(-10,9)
L(-10,4)
M(-3,4)
hlo tell me the answer fast plz
Answer:
hi you said u can answer my qweshion
Step-by-step explanation:
ILL GIVE YOU 40 POUNTA IF YOU ANSWER ALL OF THESE QUESTIONS???,!!.!.
PLEASE I NEED THESE TODAY!!!!
what's the question? we solving or simplify?
Answer and Step-by-step explanation:
When multiplying exponents:
- Product of Powers: When the base of the exponents are the same, and the bases are being multiplied to each other, the exponents are added together.
- Different bases Same Exponents: When the bases of the exponents are different, but the exponents are the same, the bases multiply together (within a parenthesis) with the exponent on the parenthesis.
- Quotient of Powers: When the base of the exponents are the same, and they are being divided by each other, the exponents will subtract from each other.
- Power of a Power: When a base has an exponent, and that entire term has and exponent, the exponents multiply together.
- Power of a Product: The opposite of Different bases Same Exponents. Distribute the exponent onto the different bases.
- Power of a Quotient: The opposite of Quotient of Powers. Distribute the exponent to the dividing bases.
- Zero Power: Any number raised to the 0 power equals 1.
- Negative Exponent: Any number raised by a negative number goes to the denominator of a fraction (if not already in the denominator), and vise versa (goes to the numerator if not already in the numerator).
- Power of One: Any number raised to the power of 1 is the same number.
7.
[tex](-5y^3)^3 = -125y^6[/tex]
8.
[tex](-a^9b)^4 = -a^{13}b^4[/tex]
9.
[tex](\frac{1}{2}x^4 )^7 = \frac{1}{2^7 (=128)} x^{11}[/tex]
10.
[tex]2(3a^2)^3 = 2(27a^5) = 54a^5[/tex]
11.
[tex]\frac{1}{2} (4k^5)^2=\frac{1}{2} (16k^7) = 8k^7[/tex]
12.
[tex]-6(\frac{2}{3}p^8 )^3=-6(\frac{6}{27} p^{11}) = -6(\frac{2}{9}p^{11})=\frac{-12}{9} p^{11}=-\frac{4}{3}p^{11}[/tex]
13.
[tex](m^5n^3)^7 * m^2n = m^{12}n^{10}*m^2n=m^{14}n^{11}[/tex]
14.
[tex](2xy)^2(-3x^2)(4y^2) = (4x^2y^2)(-3x^2)(4y^2) = (-12x^4y^2)(4y^2)=-48x^6y^4[/tex]
15.
[tex](2x^3y^2z^2)^3(x^2z)^4=(8x^6y^5z^5)(x^6z^4)=8x^{12}y^5z^9[/tex]
16.
[tex](-xy)^2(2x^9y^5)^4 = (x^2y^2)(16x^{13}y^9)=16x^{15}y^{11}[/tex]
17.
[tex](-4mn)^3(-2m^2)^3 = (-64m^3n^3)(-8m^5)=512m^8n^3[/tex]
18.
[tex]-3(2x^4)(4x^5y)^2 = (-6x^4)(16x^7y^2)=-96x^{11}y^2[/tex]
19.
[tex](-18m^2n)^2(-\frac{1}{6} mn^2)=(324m^4n^2)(-\frac{1}{6} mn^2)=-54m^5n^4[/tex]
20.
[tex](3r^3s^5)^2-r^6s^{10} = 9r^5s^7-r^6s^{10} = r^5s^7(9-rs^3)[/tex]
21.
[tex](-2x^5y^7)^3+7x^{15}y^{21} = -8x^8y^{10}+7x^{15}y^{21} = x^8y^{10}(7x^7y^{11}-8)[/tex]
#teamtrees #PAW (Plant And Water)
I hope this helps!
WILL MARK BRAINLEST HELP HELP HELP.
Answer:
the point is (1.73, 3)
Step-by-step explanation:
Given a vector on an xy plot, the magnitude is the hypotinuse of the triangle formed, and the direction is the angle with x axis. So we have a right angle triangle that must be a 30-60-90 (sum = 180).
Then from the lower angle
sin(60) = opposite/hypotinuse = y/(2*3**(1/2))
0.866 = y/(2*1.732)
0.866 = y/3.464
0.866 * 3.464 = y
3 = y
Then from the top angle
sin(30) = opposite/hypotinuse = x/(2*3**(1/2))
sin(30) = x/(2*3**(1/2))
0.5 = x/(2*3**(1/2))
0.5 = x/3.464
0.5 * 3.464 = x
1.73 = x
if you have 20 yards of ribbon and need to vut it into 2 yard lengths how many cuts do you have to make. step by step if u can if not its fine
Answer:
10
Step-by-step explanation:
Given: 20 yards of ribbon in total. Need to make 2 yards each.
To find out how many yards you need to cut, divide:
20 / 2 = 10
So, you need to make 10 cuts for the 20 yards.
Hope this helped.
the sum of x and its square is equal to y times z
Answer:
x + x^2 = yx
not really sure if you are looking for this so comment if this is what you wanted
algebra 2 help please????
Answer:
Sqrt(-108)=6i*sqrt(3)
Step-by-step explanation:
-108=3*6*6*(-1). Sqrt(-108)=6i*sqrt(3) where i is iota
Which polynomial is in standard form?
O 2xy + 3x8y4 - 4x4y5 + 9x576
O 8X5 - 5y4 – 2xy + xy
O x3y2–3x2y-9x4y +11x
O 5x?y2 +7x8y5 – 14x3y? +51x2y9
The polynomial in standard form is as follows;
8x⁵ - 5y⁴ - 2xy⁵ + x²y
How to find the standard form of polynomial?A polynomial can have constants, variables and exponents, but never division by a variable. example of a polynomial is as follows:
4xy² + 2y + 5
Polynomial can be named base on the number of terms. For example monomial, binomial and trinomial.
The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on.
Therefore, the polynomial in standard form is as follows;
8x⁵ - 5y⁴ - 2xy⁵ + x²y
learn more on polynomial here: https://brainly.com/question/27205112
#SPJ1
Answer: its b
8xy5 -5y4 -2xy5 +x2y
Step-by-step explanation:
I got it right on edge
The coordinates of point T are (0,4). The midpoint of ST is (1, -3). Find the coordinates of point S.
Answer:
S=(2,-2) ...............
YOU WILL GET 50 OR 100 POINTS TO THE FIRST PERSON TO ANWSER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Antonio circled 72, 78, 84, and 90 on a hundreds chart. If Antonio continues his pattern, what two numbers will be next in the pattern?
Answer:
96, 102Step-by-step explanation:
We can observe the numbers 72, 78, 84, 90 form an arithmetic sequence with common difference of 6.
It can be continued by adding 6 to the last number:
90 + 6 = 9696 + 6 = 10272,78,84,90..are in AP
a=72d=6[tex]\\ \rm\longmapsto a_5=72+4(6)=72+24=96[/tex]
[tex]\\ \rm\longmapsto a_6=72+5(6)=72+30=102[/tex]
Serena worked these hours last week: Monday 8, Tuesday 8, Wednesday 10, Thursday 5, Friday 8. She is paid
$12 per hour
how many hours did serena work last week ?
Write your answer as an integer or as a decimal rounded to the nearest tenth
Answer:
965.31sq.km
Step-by-step explanation:
Area of the triangle = 1/2 xy sina
a=52° , x=49 , y=50
area of triangle= 1/2 * 49 *50 *sin52°
area= 965.31 sq.km
Simplify 4 + (-3-8).
Answer:
4 + (-3-8)
4 + (-11)
4 (+ × -) 11
4 - 11
- 7
Therefore the answer is -7
Answer:
4 + (-3-8)
4 + (-11)
4 (+ × -) 11
4 - 11
- 7
Therefore the answer is -7
Determine whether each of the following pairs of angles have equal measures. Drag and drop each pair of angles into the correct catagory to show which pairs have equal measures.
Helppp me plssss
Answer:
equal measures:
lJP and NJR
MJP and PJR
Unequal measures:
KJL and LJM
KJR and MJP
MJK and PJR
Step-by-step explanation:
Answer:
Step-by-step explanation:
Determine whether each of the following pairs of angles have equal measures. Drag and drop each pair of angles into the correct catagory to show which pairs have equal measures.
QUICK PLEASE!!!
Consider f(x) Equals StartFraction 8 (x minus 1) Over x squared + 2 x minus 3 EndFraction.
Which statements describe the existence of vertical asymptotes at x = –3 and x = 1?
Answer:
A
Step-by-step explanation:
edge 2021
Answer:
It is A
Step-by-step explanation:
I got it right on the test Edge 2022.
What is the cube root of 27?
The cube root of 27 is 3!!
Cuánto es
Doy coronita
Answer:
4
Step-by-step explanation:
√x + 3=25/5
√x+3=5
√x=5-3
√x=2
x=4
suppose a 13 foot ladder is leaning against a building. Reaching to the bottom of a second floor window 12 ft above the ground. How far is the base of the ladder from the building? Round your answer to the nearest 10th
5 ft
4ft
3ft
6ft
Answer: First Choice. 5ft
Step-by-step explanation:
Here we need to know the idea of the Pythagorean theorem.
Since a building is straight, the base angle is a right angle, thus it would be a right triangle.
Pythagorean Theorem: a² + b² = c²
**NOTE** Please refer to the attachment below for the figure. (I drew it, so if it was not clear and understandable for you, please tell me.)
Solve:
Given information
a = 12 ft
c = 13 ft
b = unknow base length
Given formula for Pythagorean Theorem
a² + b² = c²
Substitute values into the formula
12² + b² = 13²
Simplify exponents
144 + b² = 169
Subtract 144 on both sides
144 + b² - 144= 169 - 144
b² = 25
Square root both sides
√b² = √25
[tex]\boxed{b=5}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
The sum of two numbers is 48 and the difference is 18. What are the numbers?
pls find X in the following image :)
Answer:
37 degees
Step-by-step explanation:
..........m.........
Answer:
x=37
Step-by-step explanation:
here,
143+x=180
x=180-143
x=37
Hi I have some trouble understanding Mean,Median and Mode Comparisions can someone please help me with this problem
11
Part A: If (2^6)^x = 1, what is the value of x? Explain your answer.
Part B: If (5^0)^x = 1, what are the possible values of x? Explain your answer.
2 points for each answer; 2 points for each explanation.
Answer:
Step-by-step explanation:
2^6 = 64 and the only power of 64 that gives us 1 is 64^0 = 1. S0 x = 1.
Now 5^0 is already 1. Then (5^0)^x =1^x is equal to 1 for any value of x.
How is the x value affected if there is a translation to the right?
(answer options below)
-you subtract from the x
-you add to the x
-you divide
-you multiply
Answer:
you subtract from the x
Step-by-step explanation:
6. Write an equation for the line that passes through (-4,4) and (8,8) in point-slope
form, slope-intercept form and standard form.
Point-Slope Form:
Slope-Intercept Form:
Standard Form:
Help!!
Answer:
Point-slope form:
[tex]y-4=\displaystyle\frac{1}{3}(x+4)[/tex]
[tex]y-8=m(x-8)[/tex]
Slope-intercept form:
[tex]y=\displaystyle\frac{1}{3}x+\displaystyle\frac{16}{3}[/tex]
Standard form:
[tex]-x+3y=16[/tex]
Step-by-step explanation:
Hi there!
1) Point-slope form
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where [tex](x_1,y_1)[/tex] is a point on the line and m is the slope
First, determine the slope:
[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the points (-4,4) and (8,8):
[tex]m=\displaystyle\frac{8-4}{8-(-4)}\\\\m=\displaystyle\frac{8-4}{8+4}\\\\m=\displaystyle\frac{4}{12}\\\\m=\displaystyle\frac{1}{3}[/tex]
Therefore, the slope of the line is [tex]\displaystyle\frac{1}{3}[/tex]. Plug this into [tex]y-y_1=m(x-x_1)[/tex]:
[tex]y-y_1=\displaystyle\frac{1}{3}(x-x_1)[/tex]
Now, for [tex](x_1,y_1)[/tex], we can either plug in (-4,4) or (8,8):
[tex]y-4=\displaystyle\frac{1}{3}(x-(-4))\\\\y-4=\displaystyle\frac{1}{3}(x+4)[/tex]
or
[tex]y-8=m(x-8)[/tex]
2) Slope-intercept form
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
[tex]y=mx+b[/tex]
Plug in the slope
[tex]y=\displaystyle\frac{1}{3}x+b[/tex]
Now, to determine the y-intercept, plug in one of the points (-4,4) or (8,8) and solve for b:
[tex]8=\displaystyle\frac{1}{3}(8)+b\\\\8=\displaystyle\frac{8}{3}+b\\\\8-\displaystyle\frac{8}{3}=b\\\\b=\frac{16}{3}[/tex]
Therefore, the y-intercept is [tex]\displaystyle\frac{16}{3}[/tex]. Plug this back into [tex]y=\displaystyle\frac{1}{3}x+b[/tex]:
[tex]y=\displaystyle\frac{1}{3}x+\displaystyle\frac{16}{3}[/tex]
3) Standard form
Standard form:
[tex]Ax+By=C[/tex] where A, B, and C are numbers which are typically integers
[tex]y=\displaystyle\frac{1}{3}x+\displaystyle\frac{16}{3}[/tex]
Organize this into standard form:
[tex]-\displaystyle\frac{1}{3}x+y=\displaystyle\frac{16}{3}[/tex]
Multiply both sides by 3 so A, B, and C are integers:
[tex]-x+3y=16[/tex]
I hope this helps!
if (2x,3y) =(8, 9),find x and y
Answer:
Step-by-step explanation:
2x=8 and 3y=9
x=8/2 and y=9/3
x=4 and y=3
SOMEONE HELP ME PLEASE AND SHOW WORK