APQR is an equilateral triangle. One side measures 5x - 7 and another side 3x + 11. Find the length of each
side.
Step-by-step explanation:
x=9
therefore,
each sides length is 9
5x-7=3x+11
=5x-3x=7+11
=2x=18
=x=9
A construction company can remove 3/4 tons of dirt from a construction site each hour. How long will it take them to remove 24 tons of dirt from the site?
Answer:
32 hours
Step-by-step explanation:
Given
[tex]Rate= \frac{3}{4}\ tons\ per\ hour[/tex]
Required
Determine time taken for 24 tons
As used in this question, Rate is the ratio of tons of dirt to time.
i.e.
[tex]Rate = \frac{Tons\ of\ Dirt}{Time}[/tex]
Let t represents time when tons of dirt is 24 tons:
[tex]Rate = \frac{24}{t}[/tex]
Recall that: [tex]Rate= \frac{3}{4}\ tons\ per\ hour[/tex]
So, we have
[tex]\frac{24}{t} = \frac{3}{4}[/tex]
Cross Multiply
[tex]3 * t = 24 * 4[/tex]
Divide both sides by 3
[tex]t = 8 * 4[/tex]
[tex]t = 32[/tex]
Hence, time taken is 32 hours
Help please I am begging
Answer:
The answer is A, 3.50w.
Step-by-step explanation:
When there is 1 pound, it is 3.50. 2 pounds it's 7.00 which is 3.50 times 2.
If this helped I would appreciate it if you marked me Brainliest. thank you and have a nice day!
Do you guys know this
Answer && Step-by-step explanation:
Simple plug and chug
we know a+b == 6 so replace the set as 6 so:
2(6)+6/6+(6)^2-2
12+1+36-2
49-2
==47
A crew of highway workers paved 1/5 mile in 1/8 hour. If they work at the same rate, how much will they pave in one hour?
Answer:37.5
Step-by-step explanation:
The work a crew will pave in an hour will be 8/5 miles.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a crew of highway workers paved 1/5 mile in 1/8 hour. The amount of work will be calculated as,
1 / 8 hours ⇒ 1 / 5 miles
1 hour ⇒ 8 x (1 / 5 ) miles
1 hour ⇒ 8 / 5 miles
Therefore, the work a crew will pave in an hour will be 8/5 miles.
To know more about an expression follow
https://brainly.com/question/16174575
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HELP please, see the picture below thank you.
I have a test, please
Answer:
5 - 10g + 20b
Step-by-step explanation:
(5 times 1) plus (5 times -3g) plus (5 times 4h)
5 - 10g + 20h.
This is the answer.
#teamtrees #WAP (Water And Plant)
the slope of line is -1/3. what is an equation of a line that is perpendicular to line of t
102,918,029 Plus 16/3
Answer:
102,918,0343.3
Step-by-step explanation:
tbh idek if this is right :|
Answer:
ahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hmmmmmmmmmm i think carrot
Step-by-step explanation:
write the slope intercept form of the equation of each line given the slope and y-intercept
what is special about the y coordinate that goes with the x coordinate of 1 on a proportional graph
Answer and Step-by-step explanation:
There is a two-dimensional numbers line in a coordinate plane, which has a horizontal line x-axis, and the vertical line is known as the y-axis. These lines intersect each other at zero points, and they are perpendicular. Zero points are known as the origin. The axes divide the plane into quadrants.
A point in the coordinate plane is of the form of (x, y). This point is named as ordered pair; the first number is from the x coordinate, and the second number from the y coordinate.
To make a graph, we draw a dot, starting from the origin, at the coordinate that communicates to the ordered pair. The y coordinates describe how many steps to move up or down ( positive or negative), and x coordinates tell us to move right or left ( positive or negative).
The completeness property for points describes:
Exactly one point in the plane given the number of ordered pair
And
Exactly one ordered pair of numbers at a given point in the plane.
A relation is ordered pairs; the x coordinates are known as domain, and the y coordinate is known as the range.
The domain contains the value that corresponds to the independent variable and the range equal to the dependent variable.
16.9 and 1.7 and 0.17 and 2.0 least to greatest
Answer:
0.17,1.7,2.0,16.9
Step-by-step explanation:
Answer:
0.17 1.7 2.0 16.9
Step-by-step explanation:
your going to look at the first number
A mole was burrowing in a field. First, the mole went 6 meters in one direction,
then 8 meters in another direction, and then 4 meters in another direction. How far
did the mole burrow?
What is the length of the hypotenuse of a right triangle if each of the two legs is 4 units?
square 8 units
4 units
square 32 units
8 units
9514 1404 393
Answer:
√32
Step-by-step explanation:
The hypotenuse can be found using the Pythagorean theorem. It tells you the square of the hypotenuse is the sum of the squares of the legs.
h² = 4² +4²
h² = 16 +16 = 32
h = √32
The length of the hypotenuse is square root of 32 units.
Glenda placed $1900 in a savings account which compounds interest continuously at a rate of 2.4%. How much will she have in the account after 2 years?
Answer: $1,992
Step-by-step explanation: :)
what is the solution to this equation: 5x to the 2 power - 36x - 81 = ?
Answer:
5x² - 36x - 81
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Combining Like TermsStandard Form: ax² + bx + c = 0Step-by-step explanation:
Step 1: Define expression
5x² - 36x - 81
Step 2: Simplify
We cannot simplify the expression down further.
it is urgent.so anyone solve this
Answer:
Step-by-step explanation:
Answer:
1i.) x = 18
1ii.) x = 40
2.) x = 155
3i.) ABD = 115° (actually this is wrong, idk how to calculate this ;-;
3ii.) BEF = 135°
Step-by-step explanation:
*All triangles add up to 180° in total of all angles added together*
i.) Find x
4x + 3x + 3x = 180°
10x = 180°
10x/10 = 180/10
x = 18
----------------------------------------
ii.) Find x
180 - 115 = 65
65° + 75° + x° = 180°
140° + x° = 180°
x° = 180° - 140°
x = 40°
----------------------------------------
2.) Find x
180 - 145 = 35
45° + 35° + n° = 180°
80° + n° = 180°
n° = 180° - 80°
n° = 100°
*Vertical Angles of n and m (variables I randomly made so I can solve this), so they are both the same*
100 + 55 + m = 180
155 + m = 180
m = 180 - 155
m = 25
25 + x = 180
x = 180 - 25
x = 155
----------------------------------------
3.) Find Angles
i.) ABD
180° - 65° = 115°
Angle ABD = 115°
ii.) BEF
180° - 110° = 70°
70° + 65° + x° = 180
135° + x° = 180°
x° = 180° - 135°
x = 45°
180° - 45° = 135°
Angle BEF = 135°
Words were displayed on a computer screen with background colors of red and blue. Results from scores on a test of word recall are given below. Use a significance level to test the claim that the samples are from populations with the same standard deviation. Assume that both samples are independent simple random samples from populations having normal distributions. Does the background color appear to have an effect on the variation of word recall scores?
n
s
Red Background
Blue Background
What are the null and alternative hypotheses?
A.
:
:
B.
:
:
C.
:
:
D.
:
:
Identify the test statistic.
F
nothing (Round to two decimal places as needed.)
Use technology to identify the P-value.
The P-value is
nothing. (Round to three decimal places as needed.)
What is the conclusion for this hypothesis test?
A.
. There is evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation.
B.
. There is evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation.
C.
. There is evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation.
D.
. There is evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation.
Does the background color appear to have an effect on the variation of word recall scores?
A.
, the variation of word recall scores appears to be when the color is changed.
B.
, the variation of word recall scores appears to be when the color is changed.
C.
, the variation of word recall scores appears to be when the color is changed.
D.
, the variation of word recall scores appears to be when the color is changed.
Express Four-fifths as a percent.
Answer:
80%
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
Halla una razón equivalente para formar una proporción 17
----
19
Answer:
85:95 I did the math
5. Maria is tracking the number of miles she runs in one week. She is using the track at her
school, which measures in meters.
Part A; if Maria runs 5.000 meters each week, how many miles does she rung Round your
answer to the nearest tenth. (1 meter = 1.09361 yards)
Answer:
0.00310 miles
Step-by-step explanation:
Maria runs 5 m each week. We need to find how miles she run. It means we need to convert meters to miles. The relation between meter and yards is as follows :
1 meter = 1.09361 yards
Also, 1 mile = 1760 yards
It means,
1 mile = 1609.34 m
1 m = (1/1609.34) miles
[tex]5\ m=\dfrac{5}{1609.34}\ \text{miles}\\\\=0.00310\ \text{miles}[/tex]
So, she will cover 0.00310 miles.
find the greatest common factor of 36 and 60
Answer:
6 and 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Factors of 36 are {1,2,3,4,6,9,12,18,36} . Factors of 60 are {1,2,3,4,5,6,10,12,15,20,30,60} . Common factors are }1,2,3,4,6,12} . Hence Greatest Common Factor is 12 .
need help and proper explanation
I will mark Brainliest and 15points.
Step-by-step explanation:
Q1.
1. 3×1+2=5
=5/3
2. 3×5+3=18
=18/5
3. 8×4+3=35
=35/4
4. 12×3+2=38
=38/3
5. 10×7+2=72
=72/7
Q2.
1. 1/7 = 7/1 = 7
2. 8/3 = 3/8
3. 9 = 1/9
4. 4 1/3 = 4×3+1 = 13 = 13/3 = 3/13
5.14 2/3 = 14×3+2 = 44 = 44/3 = 3/44
Hope this helps you
Answer:
For A)
when you go from mixed number to improper fraction all you have to do is multiply the denominator (bottom number) with the whole number (the big number on the left) then finally add the numerator (on the top). After you get the answer just write the answer divided the denominator (answer/denominator) to write as improper fraction. Examples is shown below.
For B) all you have to do is switch the fraction. If it a whole number then just assume that it is divided by 1, and for mixed fraction just solve it like A then switch the fraction. Examples shown below.
Step-by-step explanation:
For A)
1. 1 (2/3) -> multiply 3 with 1 then add the 2. So, (3 x 1) +2 = 5 then write as improper fraction which is 5/3
2. 3 (3/5) -> (5 x 3) + 3 = 18 -> 18/3
and so on...
For B)
1. 3/7 -> 7/3
3. 9 which is 9/1 -> 1/9
5. 14 (1/3) -> (3 x 14) + 1 = 43 -> 43/3 -> 3/34
Decide what can be used to determine the equation of a line when you have two points, but no slope.
a.
slope-intercept form
c.
point-slope form
b.
general form
d.
slope formula, then use one of the given points to find the equation
Answer:
Slope formula!
Step-by-step explanation:
You'd use that to find the slope!! THEN you'd use slope intercept form, but this one first!
I really hope this helped!! Have a good day :)
What is the slope of the line that contains these points?
Answer:
[tex]m=-7[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from chart.
Point (39, 36)
Point (40, 29)
Step 2: Find slope m
Substitute: [tex]m=\frac{29-36}{40-39}[/tex]Subtract: [tex]m=\frac{-7}{1}[/tex]Divide: [tex]m=-7[/tex]An experiment requires a sequence of three steps. The first step can result in six possible outcomes, the second in three possible outcomes, and the third in four possible outcomes. What is the total number of outcomes possible?
Answer:
72
Step-by-step explanation:
The total no of outcomes of an experiment is given by :
N = n₁× n₂ ×n₃ ×....
Where,
n₁,n₂,n₃... are possible outcomes in step 1,2,3 and so on
In this problem, there are 3 steps.
n₁ = 6, n₂ = 3, n₃ = 4
Total number of possible outcomes = 6(3)(4) = 72
Hence, there are 72 possible outcomes.
Which operation will not change the value of any nonzero number?
flipAnswer:
Multiplication
Step-by-step explanation:
The answer is multiplication because the multiplication by two will definetly flip the value of any sort of number that is non zero.
How many different surgery scrub outfits would you have if you have 5
scrub tops and 2 pairs of scrub pants?
Answer:
2
Step-by-step explanation:
cuz u would have extra hats so just wear the pants again
Select the correct answer.
A sphere has a diameter of 24 units. What is its volume in cubic units?
A. 576 cubic units
B. 1,728 cubic units
C. 2,304 cubic units
D 6,912 cubic units
Answer:
c
Step-by-step explanation:
Answer: C.2304
Step-by-step explanation:
volume for a sphere formula: V=4/3πr^3
[tex]V=4/3\pi r^3=4/3*\pi *12^3=7238.23\\7238.23/\pi \\=2304\\[/tex]
Find the simple interest and the total amount after three years.
Principal = 7800 rupees
Annual rate of interest = 9.5%
Total interest =____rupees
Total amount =____rupees
Answer:
[tex] \boxed{ \sf{Total \:Interest = \underline{ 2223} \: rupees}}[/tex]
[tex] \boxed{ \sf{Total \: Amount = \underline{10023} \: rupees}} [/tex]
Step-by-step explanation:
♨ Given :Principal ( P ) = 7800 rupeesAnnual rate of interest ( R ) = 9.5 %Time ( T ) = 3 years♨ To find :Total interest ( I ) = ?Total amount ( A ) = ?✎ Finding the total interest :[tex] \boxed{ \sf{Simple \: interest \: ( \: I\: )\: = \frac{Principal \: ( \: P \: ) \: \times \: Time \: ( \: T \: ) \: \times \: Rate \: ( \: R \: )}{100}}} [/tex]
[tex] \longrightarrow{ \sf{ \frac{7800 \times 3 \times 9.5}{100}}} [/tex]
[tex] \longrightarrow{ \sf{ \frac{222300}{100}}} [/tex]
[tex] \longrightarrow{ \sf{2223 \: rupees}}[/tex]
The total interest = 2223 rupees.
✎ Finding the total Amount :[tex] \boxed{ \sf{Amount \: (A) = Principal \: ( \: P \: ) \: + \: Interest \: ( \: I \: )}}[/tex]
[tex] \longrightarrow{ \sf{7800 \: rupees + 2223 \: rupees}}[/tex]
[tex] \longrightarrow{ \sf{10023 \: rupees}}[/tex]
The total amount = 10023 rupees.
--------------------------------------------------------------
☞ Additional Info :Principal : The money which is borrowed or deposited is called principal ( P ).Interest : The additional amount of money which is paid by borrower to the lender is called Interest ( I ) .Time : The duration of time for which principal is deposited or borrowed is termed as time period ( T ).Rate : The condition under which the interest is charged is called rate ( R ).Amount : The sum of principal and interest is called an amount ( A ).✑ Important Formulaes :[tex] \sf{Interest \: = \frac{Principal \times Time \times Rate}{100}} [/tex][tex] \sf{Principal = \frac{Interest \: \times \: 100}{Time \times Rate}} [/tex][tex] \sf{Time = \frac{Interest \: \times \: 100}{Principal \times Rate}} [/tex][tex] \sf{Rate = \frac{Interest \: \times \: 100}{Principal \times Time}} [/tex][tex] \sf{Amount = Principal + Interest}[/tex][tex] \sf{Principal = Amount - Interest}[/tex][tex] \sf{Interest = Amount - Principal}[/tex]Hope I helped!
Have a wonderful time ツ
~TheAnimeGirl
What is the slope of points M(1, 3) and N(5,0) ? Help
Answer:
-3/4
Step-by-step explanation:
Line is passing through the points [tex] M(1,\:3)=(x_1, \: y_1) \: \&\: N(5, \: 0)=(x_2,\:y_2) [/tex]
Slope of MN
[tex] = \frac{y_2 - y_1}{x_2 - x_1} \\ \\ = \frac{0 - 3}{5 - 1} \\ \\ = \frac{ - 3}{4} \\ \\ = - \frac{3}{4} [/tex]