A bricklayer can build a wall of a certain size in 5 hours. Another bricklayer can do the same job in 4 hours. If the bricklayers work together, how long would it take to do the job?
a. 9h
b. 2(2/9)h
c. 20h
d. 4(1/2)h
Answer:
b
Step-by-step explanation:
It will take [tex]\frac{20}{9}[/tex] hours as per linear equation to complete the wall.
What is a linear equation?A linear equation is an equation where the variable of the equation has the highest power of degree one.
Given, the 1st bricklayer build a complete wall of certain size in 5 hours.
Therefore, that bricklayer build [tex]\frac{1}{5}[/tex]th of the complete wall in 1 hour.
Similarly, the 2nd bricklayer build a complete wall of certain size in 4 hours.
Therefore, that bricklayer build [tex]\frac{1}{4}[/tex]th of the complete wall in 1 hour.
If they work together, in 1 hour they build a total of ([tex]\frac{1}{5}[/tex]+[tex]\frac{1}{4}[/tex])th = [tex]\frac{9}{20}[/tex] of the complete wall.
Hence, they will complete the wall in (1÷[tex]\frac{9}{20}[/tex]) hours = [tex]\frac{20}{9}[/tex] hours.
Learn more about a linear equation here: https://brainly.com/question/13738061
#SPJ2
5. Identify the slope and the y-intercept in the follow
equation: *
(5 puntos)
y = 5x + 3
Escriba su respuesta
Answer:
Slope (m) = 5
Y-intercept (b) = 3
Step-by-step explanation:
The equation of a line is y = mx + b, where (m) is the slope and(b) is the y-int.
Knowing this, we see that the slope is 5 and the y-int is 3.
hope this helps!
You paid $80 for a coat. It had been discounted 25%. What was the original price of the coat?
Answer:
85.6
Step-by-step explanation:
80/75=1.07
1.07*80=85.6
un cuadro tiene 12 cm en sus lados ¿cuanto mide su area y su perimetro
Answer:
area es 48 cm
el perimetro es 144cm
Step-by-step explanation:
Actual distance between two places is 130 miles. The scale of the map is
1 in:100 miles. What is the distance between these two places in the map?
Answer:
1.3 inches
Step-by-step explanation:
1. Determine what you already know in order to set up the equation:
1 inch = 100 miles
x inches = 130 miles
Solving for x
2. Set up the equation so both numerators are the same unit (In this case, both numerators are the mile values and both denominators are the inch values.)
[tex]\frac{100}{1}[/tex] = [tex]\frac{130}{x}[/tex]
3. Cross multiply (Multiply the first fraction's numerator by the second fraction's denominator, and vice versa. It doesn't matter which number is on which side of the = sign.)
100x = 130
4. Divide each side by 100 to isolate the variable.
x = 1.3
The base of a triangle and a parallelogram are the same length. Their helghts are also the same. If the area of the
parallelogram Is 48 m2, what is the area of the triangle?
Answer:
24
Step-by-step explanation:
The area of a parallelogram is A=
The area of triangle is A=1/2 so this means if the area of the parallelogram is 48 m then the area of a triangle is 24 m
What is the solution(s) to the equation? Use algebra only, no graphing.
(5x + 15)(x - 7) = 0
Answer:
x = -3, x = 7
Step-by-step explanation:
( 5x + 15 ) ( x - 7 ) = 0
5x + 15 = 0
5x = -15
x = -3
x - 7 = 0
x = 7
Answer:
x=−3 or x=7
Step-by-step explanation:
(5x+15)(x-7)=0
5x2−20x−105=0
5(x+3)(x−7)=0
x+3=0 or x−7=0
x=−3 or x=7
HELP PLZ! (Will give Brainliest)
You aren't so sure that Kristoff is correct, so you want to see another representation of the data. You draw box-and-whisker plots for each of their six jumps. Based on this representation, who do you recommend gets sent to the track meet and WHY?
I would recommend that Anna gets sent to the track meet because although her average is lower than olafs, she has much more experience because as you can see in the box and whisker plot, she has done a lot more running
Which fraction is equivalent to 0.8?
One-eighth
Eight-tenths
Four-fifths
Eight-ninths
Answer:
Four-fifths (4/5)
hope it helps!
Answer:
Four-fifths
Step-by-step explanation:
To convert this decimal into a fraction remove the decimal and divide by 10, so the new fraction looks like 8/10. You do this because the eight is in the tenths place, so it literally translates to eight-tenths. However, fractions need to be in the simplest form so you divide both the numerator and denominator by 2 to get the final answer 4/5 or four-fifths.
−2, −1, 4 , find all numbers listed that are solution of the equation. (Careful, there might be more than one that work!) If you find several solutions, separate them with a comma. If none of the given numbers work, just enter DNE for 'does not exist'.
k3−k2+k−4=−2k2+k−4
Answer:
k3-k2+k-4=−2k2+k−4 that is the answer
Which of these is parallel to y= 4x-2
y=5+4x
y=4-3x
y=4x+1
y=5-4x
y=4x-4
Answer:
y=4x+5(the first one)
y=4x+1
y=4x-4
Step-by-step explanation:
If the slope is the same, it is parallel
The equation for a linear equation is y=mx+b
mx is the slope
your original equation is y=4x-2, so the slope is 4.
To find which ones are parallel, you find the ones with the slope 4x(make sure it isn't -4x).
help with math please?
answer options:
115°
83°
112°
81°
If the bowl weighs 520 grams when it holds 15 tablespoons of sugar and 680 grams when it holds 26 tablespoons of sugar, what is the rate of change of the weight of the bowl with regards to the tablespoons of sugar?
Answer:
1.5 grams per tablespoon
With the information given, can you prove
that this quadrilateral is a parallelogram?
D
В
Yes
No
Answer: No
Currently we don't have enough information to prove this quadrilateral is a parallelogram. One piece of information that would be useful would be if the other diagonal is bisected. If that's the case, then we have a parallelogram (we would first prove the triangles congruent and then use the corresponding congruent angles to set up the parallel lines). Unfortunately, we only know about one diagonal being bisected, but not both, so we don't have enough info.
Jasmine can buy 2.25 pounds of beef for $7.98.
What is the unit price per pound of meat?
I haven't done unit rate in a while and I can't find it in my notes. So could you explain how to find unit rate too?
Answer:3.54
Step-by-step explanation:You would divide the price by the amount.
If 4x+5=13x+4-x-9 then x= ?
Answer:
x = 5/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Equation
4x + 5 = 13x + 4 - x - 9
Step 2: Solve for x
Combine like terms: 4x + 5 = 12x - 5Subtract 4x on both sides: 5 = 8x - 5Isolate x term: 10 = 8xIsolate x: 5/4 = xRewrite: x = 5/4Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 4(5/4) + 5 = 13(5/4) + 4 - 5/4 - 9Multiply: 5 + 5 = 65/4 + 4 - 5/4 - 9Add: 10 = 81/4 - 5/4 - 9Subtract: 10 = 19 - 9Subtract: 10 = 10Here we see that 10 does indeed equal 10.
∴ x = 5/4 is the solution to the equation.
Garret paid 20$ for five movie tickets find the cost per ticket
Megan paid 22$ for 7 books determine the cost per book
Answer:
Step-by-step explanation:
Cost of a ticket = Total cost ÷ number of tickets
= 20 ÷ 5
= $ 4
2) Cost of 7 books = $ 22
Cost of a book = 22 ÷ 7
= $ 3.11
Answer:
4 dollars each for 1st question and 3.1 dollars for second question
find the equation of straight line passing through the points (a,0) and (0,b). If the point (1,1) lies on the equation, prove that
1/a + 1/b =1
Answer:
do the following
Step-by-step explanation:
the question says that the line is passing thur the point 1,1 ... so when x = 1 so does y ... also when x= a.. then y=0 and when y=b then x =0 .. and this is a straight line... also 1/a + 1/b = 1
if you were to draw on a graph... this .. you would see that when b=2 then x=0 and also when a=2.. then y = 0 ....
and 1/2 + 1/2 =1
so that's the line.... draw in just roughly.... you'll see... then what is the equation of that line.. usually we would use the slope intercept formula for the equations.. there are more than one way to show the line.. is my point.. but.. if we use y = mx + b where m = -1 and b = 2 then...
y= - x+2
That answer got long.. sorry :/
Answer:
step by step
Step-by-step explanation:
Line passing (a,0) (0,b)
slope = (y2 - y1) / (x2 - x1) = - b/a
pass (0,b), y interception: b
Line: y = -b/a * x + b
pass(1,1) y=1, x=1
1 = -b/a + b
1/b = (-b/a) /b + b/b
1/b = -1/a + 1
1/a + 1/b = 1
The Orlando Solar Bears had a successful season on the ice winning 80% of their games. They won a record of 32 games. How many games are in a season?
Answer:
Step-by-step explanation:
You'd do 80% times 32. You have to move the 80 to the left 2 times. then multiply.
What decimal number does point A on the number line below represent?
A vertical number line is shown from negative 2.00 to 0 to positive 2.00.There are tick marks to show increments of 1 over 4. Only the whole numbers are labeled. Point A is plotted at the third tick mark below 0.
−0.75
0.75
−1.25
1.25
Answer:
I think its -0.75.
Step-by-step explanation:
Btw this is just the practice test if ur doing flex flvs so it does not matter much Lol
Answer:
WROOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOONG :3
Step-by-step explanation:
6th grade math i mark as brainliest
A d + b = 180
B. C + b = d + c
C. Reflect across line CE. Then, angle CBD is the image of angle EBA.
D. Rotate 180 degrees using center B. Then, angle CBD is the image of angle EBA.
E. Reflect across the angle bisector of angle ABC. Then, angle CBD is the image of angle ABE.
Hi! Solve for x and y.
Answer: 14x -8= -112
Step-by-step explanation:
I WILL GIVE BRAINLIEST 50 POINTS
What is the average rate of change for the mold over the 6 days?
Answer:
The average rate of change is 63/6
Step-by-step explanation:
You take the the change from 0 - 6 and 1 - 64 as the changes
the equation is: delta y
delta x
so the average rate is 63/6
SHOW ALL YOUR WORK EVERY DIVISION ADDITION MULIPLICATON AND SUBTTRACTION PROBLEM YOU DO TO SIMPLIFY THIS EXPRESSION MUS BE SHOWN thanks :)
(6g-9)+1/3(15-9g)
Step-by-step explanation:
i hope this helps you somehow
THE SUM OF TWO NUMBERS IS 96. THE
DIFFERENCE OF TWICE THE LESSER
NUMBER AND HALF THE GREATER NUMBER IS
22. WHAT ARE THE TWO NUMBERS?
Answer:
59 + 37
Step-by-step explanation:
96/2 = 48
48 - 11 = 27
48+11 = 59
A large water tank holds 600 gallons of water. It is losing water at the rate shown in the table.
Answer:
Part A - The answer is C
Part B - a.true, b.true, c.false, d.true.
Step-by-step explanation:
Part A
The slope shown on the table is -60 because the table shows that after each hour, the Gallons of Water decrease by 60.
Part B
a. The slope is -60 not -600, this was established on Part A.
b. We start off with 600 gallons of water. The equation is y = 600 - 60x. If we input 7 as x, we get 600 - 420 which is 180.
c. The initial value was 600, -60 is the slope.
d. As mentioned in b. of part B.
A linear function changes by a constant rate.
The slope is -60, and it represents the rate at which the amount of water changes hourly.The true statements are (b) and (d)The false statements are (a) and (c)Two points on the table are given as:
[tex](x,y) = (0,600)\ (1,540)[/tex]
The slope (m) of the points is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{540 - 600}{1-0}[/tex]
[tex]m = \frac{- 60}{1}[/tex]
[tex]m = - 60[/tex]
So, the slope is -60, and it represents the rate at which the amount of water changes hourly.
The function of the table is represented as:
[tex]y = -60x + 600[/tex]
So:
(a) is false, because the slope is -60
(b) is true, because y = 180 when x = 7
(c) is false, because the initial value is 600
(d) is true
Read more about linear functions at:
https://brainly.com/question/15602982
Alexandra's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday
afternoon, the cafe sold 80 espressos in all, 64 of which were single-shot. What percentage of
the espressos were single-shot?
Answer: 80%
Step-by-step explanation:
64/80 x 100% = 80%
What is the equation of the line that passes through the point (4, 3) and has a slope
of 1?
Answer:
y=x-1
Step-by-step explanation:
Answer:
y=x1
Step-by-step explanation:
Mark is 8 inches shorter than two times the height of his little brother bryan. If mark is 52 inches tall , how tall is bryan?
Answer:
60 inches
Step-by-step explanation:
Mark: 52 inches
Bryan: x Inches
X: 52 + 8
52 + 8 = 60
x= 60
Bryan: 60 inches
because mark is 8 inches shorter so bryan is 8 inches taller.