Answer:
70/17 hours or 4 2/17 hours
Step-by-step explanation:
The equation we use is 1/7 + 1/10 = 1/x, x being the time it took them together to build. x works out to 70/17 hours
Leah and her apprentice can build the wall together in 4 2/17 hours
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Hours required by Leah to build a wall = 7 hours
So , Leah builds ( 1/7 )th of the wall per hour
Hours required by apprentice to build a wall = 10 hours
So , Apprentice builds ( 1/10 )th of the wall per hour
When they are both building the wall together , they build
( 1/7 )th + ( 1/10 )th of the wall together per hour = 1 / x
Therefore , the equation will be
1/x = 1/7 + 1/10
1/x = 17 / 70
Taking reciprocal on both sides , we get
x = 70/17
x = 4 2/17 hours
Hence , Leah and her apprentice can build a wall together in 4 2/17 hours
To learn more about Equations click :
https://brainly.com/question/10413253
#SPJ2
Bronte walks 1.5 miles on a trail. Then he jogs at a speed of 5 miles per hour. Bronte's total distance walking and jogging is 5.25 miles. How long does he jog?
Answer:
3.75 hours.
Step-by-step explanation:
5.25-1.5 = 3.75
so 3.75 hour
A
Hope this helps plz hit the crown :D
Nicole drinks 0.25 L of milk every day. How much milk does she drink on 13 days?
Answer:
3.25 L
Step-by-step explanation:
0.25*13=3.25
Find AC. FIND X USING THE PICTURE. BELOW. WILL MARK BRANLIEST FOR FIRST ONE TO ANSWER
Answer:
AC ≈ 50.5
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan29° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{28}{x}[/tex] ( multiply both sides by x )
x × tan29° = 28 ( divide both sides by tan29° )
x = [tex]\frac{28}{tan29}[/tex] ≈ 50.5 ( to the nearest tenth )
Answer:
50.5
Step-by-step explanation:
In the right triangle, focus on angle A. The side marked 28 is the opposite side, and the side marked x is the adjacent side. The trigonometric ratio that uses those two side is the tangent ratio.
tangent = (opposite) / (adjacent)
[tex]\tan{29^\circ}=\frac{28}{x}[/tex]
Multiply both sides by x.
[tex]x\cdot \tan{29^\circ}=28[/tex]
Divide by tan 29 degrees.
[tex]x=\frac{28}{\tan{29^\circ}}[/tex]
Use a calculator (in degree mode!) to approximate x.
[tex]x \approx 50.5[/tex]
In San Francisco, the tax on a property assessed at $920,000 is $19,320. If tax rates are proportional in this city, how much would the tax be on a property assessed at $740,000?
Answer:
$15540 is 2.1% of 740,000 which is the same percent as the 920,000 which was 2.1 percent so your answer is $15540
Step-by-step explanation:
Find the distance between the points (–1∕2,–8) and (–1∕2,–2). Question 11 options: A) 6 B) 1∕2 C) 8 D) 10
Check the picture below.
plz help with my math plz!!!!
Step-by-step explanation:
This is an isosceles triangle because in an isosceles triangle angles opposite to each of the equal sides must also be equal. Since the diagram shows 2 equal angles we can say its isosceles.
So 3(x+2) = 24
8= x+2
x = 6
Answer:
x = 6
Step-by-step explanation:
The triangle given is an isosceles triangle.
Which means, the two sides and the two angles will be the same.
One of the sides is 24.
The other is 3 ( x + 2 )
Hence, we will get this equation.
24 = 3 ( x + 2 )
24 = 3x + 6
24 - 6 = 3x
18 = 3x
6 = x
Thus, x = 6.
I hope it helps.
A contractor purchases 7 pairs of padded work gloves for $103.32. How much would he pay if he wanted to buy 12 pairs
Answer:
$177.12
Step-by-step explanation:
$103.32 divided by 7 to find out how much 1 pair costs= $14.76
$14.76x12= $177.12
write an equation of the line with a slope of -8 and a y-intercept of 2
Answer:
y = -8x + 2
Step-by-step explanation:
A slope-intercept form equation is y = mx + b where m is the slope and b is the y-intercept. Using this, we can plug in -8 and 2 to create our equation.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Why we often leave radicals as roots without calculating them?
Answer:
Sometimes it's better to leave them as roots because it's easier sometimes to solve problems with them still as roots
Answer:
We choose to leave radicals as roots without calculating them because calculating the square roots of a non perfect squares result in an irrational, non terminating decimal.
Step-by-step explanation:
Why do we do Radicals in the first place?
Radicals are used to write the square root or the nth root of a number. We sometimes leave specific numbers (non-perfect squares) as a radical because the output would be infinity
Example:
[tex]\sqrt45[/tex] is not a perfect square, it lies between [tex]\sqrt36[/tex] and [tex]\sqrt49[/tex]
This means the number lies in between 6 and 7
The true root of 45 is irrational. Recall that irrational numbers are numbers of non-perfect squares. [tex]\sqrt45[/tex] = 6.7082039.......
Simplify:
[tex]\sqrt 45 = \sqrt 9 * \sqrt 5\\[/tex]
[tex]= \sqrt3^2 * \sqrt 5\\\\ \\= 3\sqrt5[/tex]
We choose not to pursue simplifying this because [tex]\sqrt5[/tex] is irrational (square root of a non-perfect square)
Summary:
We choose to leave radicals as roots without calculating them because calculating the square roots of a non perfect squares result in an irrational, non terminating decimal.
-Chetan K
what is 11/10 as a percent??
Answer: 110%
Step-by-step explanation: All you have to do is divide the numerator (11) by the denominator (10) which gets you 1.1 and then just add a 0 at the end to make it out of 100 so it would be 110%
Hi , what is sun helppp pls
Answer: sun are the main light source
Step-by-step explanation:
Answer:
What is sun ?
»The Sun is a star. It is a huge, spinning, glowing sphere of hot gas.there is 26 students 15 like maths 13 like english and 9 dont like either
Answer:
yes, yes they do
Step-by-step explanation:
i dont know what you're asking
Judy purchased a carpet for $ 233.95 and a table set for $199.08. She received a 25% discount but had to pay 8% sale tax. What is the total price?
Answer:
$350.75
Step-by-step explanation:
Holding the price level constant, we would expect that if the multiplier is 1.5, the cumulative effect of this change in M on AD will be: $ billion
help fast
E explaination
Answer:
a)3.4
b)8.3
c)6.30
d)19
Step-by-step explanation:
hope it can help you lovelots
#LEARN WITH BRAINLY
The teacher has 10 pizzas. She can give each child 1/8 of a pizza. How many students will get a slice.
Answer:
80
Step-by-step explanation:
1 pizza has 8 [tex]\frac{1}{8}[/tex]ths. 10 pizzas have 10 × 8 = 80 1/8ths. So 80.
Answer:
80 because if one student gets 1/8 that means 8 students get one slice out of the pizza multiply 8 by 10 and it equals 80
The equilateral triangle with side 12 has altitude
Answer:
C
Step-by-step explanation:
Using subsitution, which value of x makes this equation true? 7x = 10
6. Suppose that a password for a computer system must have at least 6, but no more than 9 characters, where each character in the password is a lowercase English letter, or an uppercase English letter, or a digit, or one of the five special characters *, <, >,!, and #.
(a) How many different passwords are available for this computer system?
(b) How many of these passwords contain at least one occurrence of at least one of the five special characters?
(c) Using your answer to part (b), determine how long it takes a hacker to try ev ery possible password, assuming that it takes one microsecond for a hacker to check each possible password.
a. There are 26 letters in the English alphabet, with two cases for each letter; 10 numerical characters in the range 0-9; and 5 special characters; thus a total of 26•2 + 10 + 5 = 67 characters.
Any character can be used more than once, so there are
67⁶ + 67⁷ + 67⁸ + 67⁹
or 27,618,753,243,839,080 total possible passwords.
b. If we require at least 1 special character, then there are 62 choices for each ordinary character we use and 5 for each special character.
Suppose we use a password of length 6. Then there are
62⁵•5¹ + 62⁴•5² + 62³•5³ + 62²•5⁴ + 62¹•5⁵ + 62⁰•5⁶
or
[tex]\displaystyle \sum_{k=1}^6 62^{6-k}\cdot5^k[/tex]
We count the longer passwords in a similar fashion:
[tex]\displaystyle \sum_{m=6}^9 \left(\sum_{k=1}^m 62^{m-k}\cdot5^k\right)[/tex]
or 1,206,930,268,794,100 total passwords
c. 1 second (s) is equal to 10⁶ microseconds (μs). If it takes 1 μs to try 1 password, then it would take
(1,206,930,268,794,100 passwords) • (1 μs / password) • (1 s / 10⁶ μs)
= 1,206,930,268.7941 s
= (1,206,930,268.7941 s) • (1 min / 60 s)
≈ 20,115,504.4799 min
≈ (20,115,504.4799 min) • (1 h / 60 min)
≈ 335,258.408 h
≈ (335,258.408 h) • (1 day / 24 h)
≈ 13,969.1003 days
≈ (13,969.1003 days) • (1 year / 365 days)
≈ 38.2715 years
Write the quadratic function in f(x)=a(x−h)2+k form whose graph is shown below.
The graph shows a downward facing parabola with vertex (negative 3, 4) and y-intercept (0, negative 5).
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{o pens~\cap}\qquad \stackrel{"a"~is~positive}{o pens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex](\stackrel{h}{-3}~~,~~\stackrel{k}{4})\qquad \implies f(x) = a[x-(-3)]^2+4\implies f(x) = a(x+3)^2+4 \\\\\\ \textit{we know that} \begin{cases} x=0\\ f(x) = -5 \end{cases}\implies -5=a(0+3)^2+4\implies -5=9a+4 \\\\\\ -9=9a\implies \cfrac{-9}{9}=a\implies \boxed{-1=a}~\hfill \blacktriangleright f(x)=-(x+3)^2+4 \blacktriangleleft[/tex]
if k=6 what is the value of 7k-2
Answer:
7x6-2=40
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
7k -2 =
7(6) - 2
42 -2
40
You are welcome!
Kayden Kohl
8th Grade Student
In a family with 77 children, excluding multiple births, what is the probability of having exactly 22 girls
Answer:
22/77
Step-by-step explanation:
just put the probable amount over the total amount for these
The product of two consecutive even integers is 6 more than 3 times their sum. The integers are: a. 6,8 b. 16, 20 12, 16 d. 20, 24 C.
Answer:
a. 6,8
Step-by-step explanation:
The only offered answer choice that lists consecutive even integers is ...
a. 6,8
_____
Consecutive even integers differ by 2, not 4.
__
Check
The product is 6×8 = 48.
Three times the sum is 3(6+8) = 3(14) = 42.
The product is 6 more than 3 times the sum. 42+6 = 48
Latonya swims 50 meters in 1/2 minute. What is the slope
Answer: 100
Step-by-step explanation: 50 x 1/2=100
Help me fast please worth 14
Answer:
its the last one i think
Step-by-step explanation:
.
TASK 2 - Calculate the averages for the data sets below (19 marks).
Sun
protection
factor
0
30
Thickness Count on rate-meter (counts per minute)
of lead
Kk
2
3 Average
(cm)
0
446 444 449
1
231 238
240
113
111
110
3
65
63
65
4
34
31
35
Time for UV bead to change colour
(seconds)
1
2
3 Average
31 28
123 122 119
244 247 246
333 331 329
5
2.
10
15
20
448
456
449
Height from
which marble
dropped (cm)
10
1
Crater width (mm)
2
3
10
12
Heart rate (bpm)
2 3
Number of
steps
Average
1
Average
13
10
70
75
73
20
19
19
21
20
90
96
94
30
33
31
31
40
30
49
44
46
95
98
99
50
64
67
68
40
127
130
125
Answer:
abc
Step-by-step explanation:
thanks for ur patience
9. Machine Trades Find the width X of the V-thread shown. (Round to the
nearest thousandth.)
Answer:
X would be 1,000
Step-by-step explanation:
The final velocity V of an object
Answer:
The final velocity, V, of an object under constant acceleration can be found using the formula V2=v2+2as , where v is the initial velocity in meters per second, a is acceleration in meters per second, and s is the distance in meters.
PLEASE ANSWER THESE ASAP WITHIN THIS HOUR!
80 is what percent of 400?
a. Base
b. Rate
c. Percentage
16% of what number is 56?
a. Base
b. Rate
c. Percentage
16% of what number is 56?
a. Base
b. Rate
c. Percentage
Thank you for your help <33
Answer:
♦ 80 is what percent of 400?
a. Base
b. Rate
c. Percentage
Answer: b. Rate
Solution:-
80 = x% of 400x% × 400 = 80x/100 × 400 = 804x = 80x = 80/4x = 2080 is 20% of 400 ( the rate is the percent)
♦ 16% of what number is 56?
a. Base
b. Rate
c. Percentage
Answer: a. Base
Solution:-
16% of x = 5616/100 × x = 5616x/100 = 5616x = 56 × 100x = 5600/16x = 35016% of 350 is 56 (The base is the amount which you're taking a percent of)
A rectangular garden is 5 ft longer than it is wide. Its area is 4550 ft. What are its dimensions?
Step-by-step explanation:
Area= lxb
L = 5+d
area= d(5+d)
4550=d²+5d
d²+5d-4550=0
d2+5d−4550=0
(d−65)(d+70)=0
d−65=0 or d+70=0
d=65 or d=−70
dimensions= 65, 70