===========================================================
Explanation:
Let's say there are 1000 boards to be painted.
Working alone, Dan can paint 1000 boards in 10 hours, so his unit rate is 1000/10 = 100 boards per hour.
In 4.12 hours, he gets 4.12*100 = 412 boards painted. There are 1000-412 = 588 boards left which Natalie takes care of. This is when the two are working together.
Her unit rate is (588 boards)/(4.12 hours) = 142.718447 boards per hour. That value is approximate.
We multiply her unit rate by some unknown amount of time x, and this product will be the 1000 boards we started with. This way she would get the job down by herself.
So the equation we need to solve is
142.718447x = 1000
--------------------
We divide both sides by 142.718447 to fully isolate x.
142.718447x = 1000
x = 1000/(142.718447)
x = 7.006803
That value is approximate.
If we round to the nearest whole number, then x = 7
So it takes about 7 hours for Natalie to get the job done if she works alone.
-------------------
Side note:
An alternative pathway is to solve the equation
1/10 + 1/x = 1/(4.12)
Which expression is equivalent to 3x(bx+10−(x2−5x+c)
A
(3b−1)x2−5x+10+c
B
−x2+(3b+35)x−c
C
−3bx2+25x+c
D
(3b−1)x2+35x−c
Answer:
Step-by-step explanation:
please help me!!!
Round each number 1 significant figure : 17.94 ÷ 3.15
Ans:
For a project in her Geometry class, Madelyn uses a mirror on the ground to measure
the height of her school's flagpole. She walks a distance of 8.75 meters from her
school, then places a mirror on flat on the ground, marked with an X at the center.
She then steps 1.7 meters to the other side of the mirror, until she can see the top of
the flagpole clearly marked in the X. Her partner measures the distance from her eyes
to the ground to be 1.65 meters. How tall is the flagpole? Round your answer to the
nearest hundredth of a meter.
1.65 m
1.
1.7 m
-8.75 m
An image is always formed at the back of a mirror. Thus, the appropriate option is D. -8.75 m. The flagpole is 8.75 m tall.
Let the angle of depression from Madelyn's point of view be represented by θ. Then applying the required trigonometric function, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
= [tex]\frac{1.65}{1.7}[/tex]
Tan θ = 0.9706
θ = [tex]Tan^{-1}[/tex] 0.9706
= [tex]44.2^{o}[/tex]
θ = [tex]44.2^{o}[/tex]
Let the height of the flag be represented by h. And for a given mirror, the angle of incidence is equal to that of reflection. Then;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
= [tex]\frac{h}{8.75}[/tex]
0.9706 = [tex]\frac{h}{8.75}[/tex]
h = 0.9706 x 8.75
= 8.49275
h = 8.5 m
Since the image is formed at the back of the mirror, then the flagpole is 8.5 m.
Therefore the appropriate answer is option D. -8.75 m
Visit: https://brainly.com/question/14374661
Answer:
10.77
Step-by-step explanation:
i did it
A roller coaster car goes above and below ground. Use the number line to
changes in height. What is the height of the car at the end of the ride?
Answer:
The height of the car at the end of the ride is 4 meters
Step-by-step explanation:
f(x) = −x + 5 with domain [−3, 2] What is the range
Factorise : a²+b²-c²+2ab
Answer:
Step-by-step explanation:
a²+b²-c²+2ab
=a²+b²+2ab-c²
=(a+b)²-c²
=(a+b+c)(a+b-c)
Need the awnser for 3
Answer:
here u go
Step-by-step explanation:
< DBC (angle DBC)
hey guys need help again
Answer:
Coordinates = (-6,-4)
Step-by-step explanation:
Move the point 4 units to the LEFT
Then move the point 6 units DOWN
It should be like the picture I attached
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Tyler tried to solve an equation step by step.
1st one to answer and get it right will mark briniest
Answer:
Tyler didn't make any mistake
This is correct method
Answer:
D. Tyler did not make a mistake
Step-by-step explanation:
:)
y is directly proportional to √X
When x = 49, y = 4
(Not from the question, remember that this "When x = 49, y = 4," is to find K)
a) Find a formula for y in terms of x.
Workout:
Step 1:
Y= k√X
4= k √49
4= k (7) (Here the 7 is in multiplication, now we'll divide it meaning 4/7)
4/7= K
Step 2:
To find the formula:
y= 4/7 √X (Final relation)
Answer for a) y= 4/7 √x
Answer: y = 4/7 √x
Step-by-step explanation:
Translate the following verbal expressions into
algebraic expressions:
16 increased by 4 times a number
Three times the difference of x and 8
3 less than the product of 5 and y
Answer:
16 + 4n
3(x - 8)
(5 × y) - 3
Step-by-step explanation:
16 increased by 4 times a number:
16 + 4n
Three times the difference of x and 8:
3(x - 8)
3 less than the product of 5 and y:
(5 × y) - 3
10. In a 2 hour Mathematics paper, there are
20 questions to be answered by Yao. After
1 hour he had answered 5 questions.
b) What fraction of the time had gone?
Answer:
1/2
Step-by-step explanation:
1 hour=60 minutes
2 hours=120 minutes
60/120=1/2
hope you got it
If you have any problem just ask me
If you think this is the best answer please mark me as brainliest
After 1 hour, Yao had completed 25% (1/4) of the 2-hour Mathematics paper.
In order to understand the fraction of time Yao had spent on the Mathematics paper after 1 hour, let's break down the problem. Yao was given a 2-hour Mathematics paper to complete, and he answered 5 questions in the first hour.
Now, let's calculate the fraction of time that had passed. To do this, we can set up a ratio of the time Yao had spent to the total time available. The time Yao spent is 1 hour, and the total time available is 2 hours. So the fraction of time that had gone can be represented as:
= Time spent / Total time
= 1 hour / 2 hours
= 1/2
Therefore, after 1 hour, Yao had completed half of the allotted time. However, we are asked to express this fraction in terms of questions answered. Yao had answered 5 questions out of a total of 20 questions.
To express the fraction of time in terms of questions answered, we can set up another ratio. The questions Yao answered is 5, and the total number of questions is 20. So the fraction of time that had gone can be represented as:
= Questions answered / Total questions
= 5 questions / 20 questions
= 1/4
Hence, after 1 hour, Yao had completed 1/4 of the total questions in the Mathematics paper. This means he still had 3/4 (or 75%) of the questions to complete in the remaining hour.
To know more about Fraction here
https://brainly.com/question/10354322
#SPJ2
another easy question pls answer
Answer:
Sometimes
Step-by-step explanation:
A linear pair are angles that are adjacent to each other, with one shared side.
Complementary angles can be anywhere but they have to be coplanar(have to share the same plane)
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
I NEED HELP ASAP PLEASE!!!!
Answer:
Hello!
An irrational number is all the real numbers which are not rational numbers.
M = [tex]\sqrt{2[/tex] is a irrational number.
N = [tex]\sqrt{5}[/tex] is a irrational number.
S = 2 is not irrational, and is actually a whole number.
T = 5 is not irrational, and is actually a whole number.
Have a great day!
I hope this helps! <33
One of the two equal factors of a number is a _______?
Answer:
A square root
Step-by-step explanation:
A square root is one of two equal factors of a number.
Solve v^2+2v=0 by factoring
[tex]\large \mathfrak{Solution : }[/tex]
let's factorise :
[tex] {v}^{2} + 2v = 0[/tex][tex]v(v + 2) = 0[/tex]now, there are two cases :
case 1 :
[tex]v = 0[/tex]case 2 :
[tex]v + 2 = 0[/tex][tex]v = - 2[/tex]simplify 7m+3n - (11-2m+n+5) -m+3n+8
7 m + 3 and -(- 2 m+11+5)-m+3n+8
7m+3n-(-2m+n+10)-m+3n+8
7m+3n+2m-n-10-m+3n+8
7m+2m-m+3n-n+3n-16+8
Answer=8m+5n-8
Superman bought two leggings for $25.80 each at KryptonCromie. How much did he spend?
Answer:
51.6
Step-by-step explanation:
$25.80 + $25.80 =
OR
25.80 x 2.
Answer $51.6
Step-by-step explanation:
because 25.80+25.80 is...$51.6
HELP NEEDED !!!
find the size of unknown angles
Explanation :
The line DF is parallel to OB, therefore Angle x = Angle y.
( because, they for corresponding angle pair which are equal. )
And the angle made by an arc at center is always double the angle made by the same arc at its boundary, hence
x = 22° × 2x = 44°y = 44° ( cuz, x = y )18. Which of the following has the greatest value? A. TT + 1 B. 124 9 C. D. 4.2
I NEED HELP FAST
Answer:
a or b bc tt could be any number but in saying that it could be 1 or it could be 2000
Step-by-step explanation:
PLSSSSS HELPPPPP ASAPPP
Answer:
]-3,7[
Step-by-step explanation:
the domain is from -3 to 7
Use the relationship graphed at right to answer the questions below
What are two fractions equivalent to 9/16
Answer:
18/32
27/48
Step-by-step explanation:
Hope that helps
1060 divided by 48 as a mixed number
Answer:
When you divide 1060 by 48, your answer will be 22.08333... ( decimal) but when rounded, it will either be 22, 22.1, or 22.08 (just for rounding, you do not have to put this in.)
Hope this helped!
Step-by-step explanation:
Answer:
22 1/12
Step-by-step explanation:
48*22=1056
1060-1056=4
= 22 4/48
= 22 1/12
So the answer is 22 1/12,
Hope this helps!
Help me out please thank you lol
Answer:
False
Step-by-step explanation:
3(5 - 2x) = 3(2x) - 3(5)
~Simplify
15 - 6x = 6x - 15
~Reorder
15 - 6x = -15 + 6x
As you can see, they are not the same so false.
Best of Luck!
Answer:
False
15-6x doesn't equal to6x-15
Multi-Step Two friends compare the amount of change they
have in their pockets. Ashley has 12 nickels, 2 dimes, and
4 quarters. Beto has 10 nickels, 4 dimes, and 3 quarters.
Who has more money?
Answer:
Ashley
Step-by-step explanation:
Ashley:
12n (n=5) = 60+2u (u=10)=80
4 quarters equal a dollar
$1.80
Beto:
10n (n=5)= 50+ 4u (u=10) = 90
3 quarters equal .75
$1.65
someone help with this 9+9+6 - 3
Answer:
es 21
Step-by-step explanation:
NEED HELP ASAP. I don not understand why I'm wrong. What is the right answer???
Answer:
Answer: 35/18
Step-by-step explanation:
[tex] \frac{ \{ \frac{3}{4} - \frac{5}{2} \} }{ \{ \frac{3}{5} - \frac{3}{2} \}} = \frac{( - \frac{7}{4} )}{ (- \frac{9}{10} )} \\ \\ = \frac{7}{4} \div \frac{9}{10} [/tex]
use the reciprocal of 9/10 :
[tex] = \frac{7}{4} \times \frac{10}{9} \\ \\ = \frac{35}{18} [/tex]
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Simplify [tex]\huge \sf\frac { \frac { 3 } { 4 } - \frac { 5 } { 2 } } { \frac { 3 } { 5 } - \frac { 3 } { 2 } } \\ [/tex][tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \huge \sf\frac { \frac { 3 } { 4 } - \frac { 5 } { 2 } } { \frac { 3 } { 5 } - \frac { 3 } { 2 } } \\ [/tex]
The least common multiple of 4 and 2 is 4. Convert [tex]\sf\frac{3}{4} [/tex]and [tex]\sf\frac{5}{2} [/tex]to fractions with denominator 4.[tex] \huge \sf \frac{\frac{3}{4}-\frac{10}{4}}{\frac{3}{5}-\frac{3}{2}} \\ [/tex]
Because [tex]\sf\frac{3}{4} [/tex]and [tex]\sf \frac{10}{4}[/tex] have the same denominator, subtract them by subtracting their numerators.[tex] \huge \sf\frac{\frac{3-10}{4}}{\frac{3}{5}-\frac{3}{2}} \\ [/tex]
Subtract 10 from 3 to get -7.[tex] \huge \sf\frac{-\frac{7}{4}}{\frac{3}{5}-\frac{3}{2}} \\ [/tex]
The least common multiple of 5 and 2 is 10. Convert [tex]\sf\frac{3}{5}[/tex] and [tex]\sf \frac{3}{2}[/tex] to fractions with denominator 10.[tex] \huge \sf\frac{-\frac{7}{4}}{\frac{6}{10}-\frac{15}{10}} \\ [/tex]
Because [tex]\sf \frac{6}{10}[/tex] and [tex]\sf \frac{15}{10}[/tex] have the same denominator, subtract them by subtracting their numerators.[tex] \huge \sf\frac{-\frac{7}{4}}{\frac{6-15}{10}} \\ [/tex]
Subtract 15 from 6 to get -9.[tex] \huge \sf\frac{-\frac{7}{4}}{-\frac{9}{10}} \\ [/tex]
Divide [tex]\sf-\frac{7}{4}[/tex] by [tex]\sf-\frac{9}{10}[/tex] by multiplying [tex]\sf-\frac{7}{4}[/tex] by the reciprocal of [tex]\sf-\frac{9}{10}[/tex].[tex] \huge \sf-\frac{7}{4}\left(-\frac{10}{9}\right) [/tex]
Multiply [tex]\sf-\frac{7}{4}[/tex] by [tex]\sf-\frac{10}{9}[/tex] by multiplying the numerator by the numerator and the denominator by the denominator.[tex] \huge \sf\frac{-7\left(-10\right)}{4\times 9} [/tex]
Carry out the multiplications in the fraction [tex]\sf\frac{-7\left(-10\right)}{4\times 9}[/tex].[tex] \huge \sf\frac{70}{36} [/tex]
Reduce the fraction [tex]\sf\frac{70}{36}[/tex] to its lowest terms by extracting and cancelling out 2.[tex] \huge \boxed{ \bf\frac{35}{18}\approx 1.944..}[/tex]
how do you solve x/4+7=-2
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
How do you solve x/4+7 = -2[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \large \sf \frac{x }{4} + 7 = - 2 \\ [/tex]
Multiply both sides of the equation by 4.[tex] \large \sf \: x+28=-8 [/tex]
Subtract 28 from both sides.[tex] \large \sf \: x=-8-28 [/tex]
Subtract 28 from -8 to get -36.[tex] \large \boxed{ \bf \: x=-36 }[/tex]
What is the equation of "The sum of 75 and 46 is divided by 5 and the difference of quotient and 10 is multiplied by 2" this is a grade 7 question btw
Answer:
{(75+46)/5-10}*2
Step-by-step explanation:
Sum of 75 and 46 is divided by 5 and the difference of quotient and 10 is multiplied by 2.