Answer:
600 is the missing space
Step-by-step explanation:
rate me brainliest plz
A scout troop consists of 10 boys and 10 girls. The total weight of their backpacks is 600 pounds. All the boys have to carry backpacks that weigh the same amount. All the girls, too, must carry bags of equal weight, but the girls' backpacks are 1.5 times lighter than the boys' backpacks. How heavy is one boy's backpack?
Answer:
36 lbs
Step-by-step explanation:
let the weight of each boy's backpack be B and the weight of each girl's backpack be G.
Given that the total weight of all (i.e 10 boys' and 10 girls') backpacks equals 600 lbs, i.e.
10B + 10G = 600 (simplifying by dividing both sides by 10)
B + G = 60 ------- eq 1
Also given that a girl's backpack is 1.5 times LESS than a boy's backpack.
written another way, we can say that a boy's backpack is 1.5 times MORE than a girl's backpack, or:
B = 1.5G (rearranging)
B - 1.5G = 0 ------ eq 2
We can solve eq 1 and eq 2 by elimination,
(eq 1) - (eq 2)
(B + G) - (B - 1.5G) = 60 - 0
B + G - B + 1.5G = 60
G + 1.5G = 60
2.5G = 60 (divide both sides by 2.5)
G = 60 / 2.5
G = 24 lbs (substitute this into equation 1)
B + G = 60
B + 24 = 60
B = 60 - 24
B = 36 lbs
does anyone know how to solve 182 6/8 divided by 3 .
Answer:
Step-by-step explanation:
Convert 182 6/8 into improper fraction
[tex]182\frac{6}{8}=\frac{1462}{8}[/tex]
[tex]\frac{1462}{8}[/tex]÷ 3 =[tex]\frac{1462}{8}*\frac{1}{3}=\frac{1462}{24}[/tex]
= 60 22/24
Factor 4 out of 4x + 12.
Answer:
4(x + 3)
Step-by-step explanation:
So, to solve these questions is pretty simple.
4 times what equals 4x, and 4 times what equals 12?
Well,
4 times x = 4x, and 4 times 3 = 12.
soo.
4(x + 3)
Answer:
4x+12 factor 4 out of the equation
4(x+3)19) : -7x=5.6⇒ x=-5.6/-7
x=5.6/7=0.8x/8- 5/2=5/2 common factor
(x-20)/8 =5/2
2(x-20)=40
2x-40=40
2x=80
x=80/2=40Help need work shown ASAP
Answer:
y = 2x + 1
Step-by-step explanation:
From the table attached,
x y Difference [tex][d=(y_2-y_1)][/tex]
-1 -1 -
0 1 1 - (-1) = 2
1 3 3 - 1 = 2
2 5 5 - 3 = 2
Since,there is a common difference 'd' = 2
Therefore, this table represents a linear equation.
Let the equation is,
y = mx + b
where 'm' is the slope and 'b' is the y-intercept.
Two points lying on the linear equation are (-1, -1) and (0, 1)
Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{1+1}{0+1}[/tex]
m = 2
And y-intercept 'b' = 1 unit
Therefore, equation of the line will be,
y = 2x + 1
Divisibility by 10 of number 7236
7236 is NOT divisible by 10
Step-by-step explanation:
any number that ends with zero is divisible by 10 but 7236 dosent end with zero so 7236 isnt divisible by 10
11.Area of Triangle is 18 cm sq. and Sum of Base and Altitude is 12 cm. The Base and Altitude are:
(1 Point)
4 , 8 4 cm, 8 cm
8, 4 8cm, 4 cm
6 , 6 6 cm, 6 cm
10 , 2 10 cm, 2 cm
Answer:
base and altitude both are 6 cmand 6cm
If p varies directly with T and p =105 when T=400.Find p when T =500
Answer:
p = 131.25Step-by-step explanation:
The variation p varies directly with T is written as
p = kT
where k is the constant of proportionality
To find p when T =500 we must first find the formula for the variation
That's
when p = 105 and T = 400
105 = 400k
Divide both sides by 400
[tex]k = \frac{21}{80} [/tex]So the formula for the variation is
[tex]p = \frac{21}{80} T[/tex]when
T = 500
Substitute it into the above formula
That's
[tex]p = \frac{21}{80} \times 500[/tex]
Simplify
The final answer is
p = 131.25Hope this helps you
10 points to the person who answers this whole thing:)
Answer:
perimeter = 24
Step-by-step explanation:
it´s a regular hexagon = 6 sides
perimeter = 6(4x) = 24x
the probability that 2 randomly selected points from Q,R,S,T and W are noncollinear is
Answer:
2/5Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
Since we are to find the probability that 2 randomly selected points from Q,R,S,T and W are non-collinear
Non collinear points are points that doesn't lie on the same straight line. From the diagram given, the two point that are non colliear are (QR, QS, QT and QW making 4 2random non collinear points. Hence out expected number of outcome is 4.
For the total possible outcome, we are to find the number of ways we can randomly select two points from the 5 points given and this can be done using the combination rule.
This can therefore be done in 5C2 number of ways.
5C2 = 5!/(5-2)!2!
5C2 = 5!/3!2!
5C2 = 5*4*3*2*1/3*2*2
5C2 = 5*2
5C2 = 10 different ways
Hence the total possible outcome is 10
Therefore, the probability that 2 randomly selected points from Q,R,S,T and W are noncollinear will be 4/10 = 2/5
(04.01 LC) The science club surveyed 50 students about the number of science courses in which they were enrolled and the time it took them to complete their homework. Classify the random variables from the survey. (2 points) Select one: a. Number of science courses, continuous; time to complete homework, continuous b. Number of science courses, continuous; time to complete homework, discrete c. Number of science courses, discrete; time to complete homework, continuous d. Number of science courses, discrete; time to complete homework, discrete e. Unable to determine from information given
Answer:
The correct option is;
c. Number of science courses, discrete; time to complete homework, continuous
Step-by-step explanation:
There are two types of random variables, discrete random variables and continuous random variables
Discrete random variables are variables that are always re-presentable by a finite countable number, such that discrete random variables can be taken as a count of items count
Therefore, as the number of science courses are fixed and such that a specific number can be ascribed to the courses at any time (except there are changes), is a discrete random variable
A continuous random variable is one whose possible values are infinite and are generally measurements of values of such as weight, height, time, and amount
Therefore, the time to complete the homework is a continuous random variable.
Solve for x. PLZ ANSWER FAST
Answer:
No solutions.
Step-by-step explanation:
7(2) + 39 > 53 and 16(2) + 15 > 31
14 + 39 > 53 and 32 + 15 > 31
53 >_ 53 but, 47 > 31 :/
So even with one the first equation is smaller.
Determine what type of model best fits the given situation: The height of a tree increases by 2.5 feet each growing season. A. linear B. exponential C. none of these D. quadratic
Answer:
A. linear, because it's growing the same amount each growing season
Step-by-step explanation:
Answer:
Step-by-step explanation: the answer is linear because it goes up by a constant every year
21 22 23 24 25 Won has a container with the shape below. A rectangular prism with length of 18 centimeters, width of 10 centimeters, and height of 12 centimeters. A rectangular pyramid has a base of 18 centimeters by 10 centimeters and height of 10 centimeters. Which statements are true about the container? Select three options. The shape can be broken into a rectangular prism and a triangular prism. The shape can be broken into a rectangular prism and a rectangular pyramid. The formula for the volume of this figure is V = B h + one-third B h. The volume of the container is 2,760 centimeters cubed. The volume of the container is 3,060 centimeters cubed.
Answer:
2nd statement
3rd statement
4th statement
Step-by-step explanation:
The 2nd statement we know is true since the container was already described with a rectangular pyramid and a rectangular prism.
The 3rd statement is true since the volume for a rectangular prism is,
V=wlh or V=bh (b=wl)
The volume of a rectangular pyramid is
V=1/3*wlh or V= 1/3*bh (b=wl)
The 4th statement is true since the formula for the volume of this container is V=wlh+wlh/3. So substitute the values of the rectangular prism and rectangular pyramid and,
V=10*18*12+(18*10*10)/3
V=2160+1800/3
V=2160+600
V=2760
please see the photo and answer the quastion
Answer:
A.
Step-by-step explanation:
I used a graphing calculator to check
Answer:
A
f(x)=(x+2)/(x+1)
ASAP!!! PLEASE help me solve this question! No nonsense answers, and solve with full solutions.
Answer:
Option (4)
Step-by-step explanation:
By the theorem of inscribed angles and the intercepted arc,
"In a circle, angles subtended by the same arc always measure the same and the arc measures the double of the inscribed angle."
If an inscribed angle in a circle measures 75° then all inscribed angles by the same arc will measure 75°.
In addition to this, measure of arc subtended by these inscribed angle will measure double of the inscribed angle (150°)
Therefore, Option (4) will be the answer.
LAST QUESTION TO MY SUMMER HOMEWORK PLEASE HELP 'BRAINLIEST i will give 25 POINTS at ONCE also its a simple question please answer it quickly I thank you very much and will answer a non math question if you would like.
Answer:
Step-by-step explanation:
here,
132 degree + 54 degree + x + 90 degree = 360 degree ( angles around a point)
therefore ,
x+ 276 degree =360 degree
x = 360-276
x= 84 degree
hope it helps and pls do mark my answer as the brainliest.............
Pauline has 35 cups of flour. She makes cakes that requires 2 1/4 cups each. How mant cakes can she bake using the 35 cups of flour?
Answer:
15.56
Step-by-step explanation:
Total flour available=35 cups
Each cake=2 1/4 cups
Find how many cakes Pauline can bake with 35 cups of flour
Let the number of cakes she can bake with 35 cups of flour=x
x=35 cups / 2 1/4 cups
=35÷9/4
=35×4/9
=140/9
=15 5/9 cakes
=15.56 cakes approximately
11 Points Estimate the average by first rounding to the nearest 1,000: 1,000 2,300 2,600
Answer:
Average = 2000
Step-by-step explanation:
Given numbers are:
1,000 2,300 2,600
To find:
First round off the numbers to nearest 1000 and then find Average.
Solution:
1000 is already in thousands so no need to round off.
To round off a number to nearest thousand, we need check the digit on hundred's place.
If the hundred's digit is greater than 5, we increase the thousand's digit by 1 and make the hundred's digit as 0.If the hundred's digit is lesser than 5, the thousand's digit remains the same and we make the hundred's digit as 0.So, 2300 will be rounded off as 2000.
and 2600 will be rounded off as 3000.
Now, the numbers whose average is to be calculated are 1000, 2000, 3000.
Formula for average is given as:
[tex]Average = \dfrac{\text{Sum of all numbers}}{\text{Count of numbers}}[/tex]
applying the formula:
[tex]Average = \dfrac{1000+2000+3000}{3}\\\Rightarrow Average = \dfrac{6000}{3}\\\Rightarrow \bold{Average = 2000}[/tex]
So, the average after rounding off to nearest 1000 is 2000.
An 8-pack of beaded necklaces costs $7.60. What is the unit price?
Answer:
The unit price is $0.95 per pack.
Step-by-step explanation:
To find the unit price, we must find the price per pack of beaded necklaces. To do this, we should divide the total price ($7.60) by the number of items in the package (8).
$7.60/8 = $0.95
Therefore, the answer is that the unit price is $0.95.
Hope this helps!
When was the first Bible created?????
Answer:
Started- 1200BC
Moses wrote the book of Torah.
Ended- 96 CE
John wrote the last book, The book of 'revelation'
Step-by-step explanation:
It took 1400 years to write it.
40 people around 38 people wrote the Bible even though the main author of the book is Holy Spirit.
The Bible has 2 sections:
Old testamentNew testamentOld testament
Consists of 39 books.
Also referred to as taNaK which means the 'old testament' in Hebrew.
Based on the first five books of the testament (Torah or Pentateuch)
Written before the birth of Jesus Christ.
New testament
Consists of 27 books.
Written after the birth of Jesus Christ.
Based on the teachings and life of Christ (The Gospel).
Apocrypha:
Written between the Old testament and the New Testament.
Some denominations of Christianity don't believe in the Apocrypha.
Took 400 years to write it.
Hope this helps ;) ❤❤❤
Answer:
k Nishant
Step-by-step explanation:
The Old Testament is the original Hebrew Bible, the sacred scriptures of the Jewish faith, written at different times between about 1200 and 165 BC. This your answer
In which scenarios are surveys appropriate? or when is it appropriate to use experiments?
Answer:
1. Surveys are used to obtain specific information from a group of people. It is administered by politicians, professionals, sociologists, and other groups to obtain data from their subjects of interest.
2. Experiments are used to establish cause-and-effect relationships. Scientists use them for highly-controlled tests to give/withdraw credence to some hypotheses.
Step-by-step explanation:
Surveys, when applied to human subjects, are used to obtain data from a selected sample of subjects. Surveys, which can be applied through mails, telephones, the internet, in-person, and through other means are aimed at getting the opinions, thoughts, and beliefs of the participants. It is administered by politicians, professionals, sociologists, and other groups to obtain data from their subjects of interest. This data can be qualitative or quantitative.
Experiments are administered to provide support or refute a given hypothesis. They establish cause and effect relationships. Scientists use them for highly-controlled tests to give/deny credence to some hypotheses. Positive controls establish the hypothesis as true. They could be conducted in the laboratory, in the field, or through observations.
when a number is divided by 37, the quotient is 57, and the remainder is 29. what is the number
Answer:
Step-by-step explanation:
Hello, it means that the number is
57 * 37 + 29 = 2138
Thank you
LaShawn solved the equation below to the determine the solution.
3 x minus 8 = negative x + 4 (x minus 2)
Answer:
x = all real numbers.
Step-by-step explanation:
3 x minus 8 = negative x + 4 (x minus 2)
3x - 8 = -x + 4(x - 2)
3x - 8 = -x + 4x - 8
3x - 8 = 3x - 8
3x - 3x = -8 + 8
0 = 0
Since the result is a true statement, but 0 = 0, x is equivalent to all real numbers.
Hope this helps!
Answer:
Step-by-step explanation:
Write the equation for the line that passes through the points (4, 5) and
(6,9). *
O y = 2x-3
O y = 0.5x - 3
O y = 0.5x + 6
O y = 2x + 6
None of the Above
Answer:
Step-by-step explanation:
(9-5)/6-4)= 4/2= 2
y - 5 = 2(x - 4)
y - 5 = 2x - 8
y = 2x - 3 is the solution
Answer:
the answer is y = –2x – 5 hope this helps:) give brainliest if it does
Step-by-step explanation:
i got it right on edge
Stewart is hiring a plumber to fit his shower. He charges a callout fee of £18.50 and then £x per hour after that. The plumber charges him £167.00 and it takes him 9 hours. How much does the plumber charge per hour?
Answer:
Step-by-step explanation:
Amount charges by plumber = £ 167.00
Call out fee = £ 18.50
Charge excluding the call out fee = 167 - 18.50 = £ 148.50
Total hours worked = 9 hours
Charge per hour = charge excluding the call out fee ÷ total hours
= 148.50 ÷ 9
= £ 16.50
Tony gets paid $5 per hour to babysit his cousin. This weekend, he babysat on
both Saturday and Sunday. He made a total of $55. Tony babysat for 6 hours on
Sunday. For how many hours did he babysit on Saturday?
Let x = hours spent babysitting on Saturday. Choose the equation and
solution steps that correctly represent this problem.
Answer:
5 hours
Step-by-step explanation:
55/5 is 11 (he worked 11 hours total). 11-6 is 5
Answer:
5 hours on Saturday
Step-by-step explanation:
x = hours
5x + 6(5) = 55
5x + 30 = 55
5x = 25
x = 5
19. If CD _|_ EF, M<ECH = x + 5 and m<HCD = 3x - 7 find each missing value.
G# F
a) x =
b) m<ECH=
c) m<HCD=
d) m<GCF =
e) m<ECG=
f) m<GCD =
[tex]a. $ x = 23^{\circ}\\b. $ m \angle ECH =28^{\circ}\\c. $ m\angle HCD = 62^{\circ}\\d. $ m \angle GCF = 28^{\circ}\\e. $ m \angle ECG = 152^{\circ}\\f. $ m \angle GCD = 118^{\circ}[/tex]
Given:
[tex]m \angle ECH = x + 5\\m \angle HCD = 3x - 7[/tex]
Note the following:
Since CD is perpendicular to EF, therefore:
[tex]m \angle ECD = 90^{\circ}\\m \angle FCD = 90^{\circ}[/tex]
Thus:
a. Find x
[tex]m \angle ECH + m \angle HCD = m \angle ECD[/tex]
Substitute
[tex](x + 5) + (3x - 7) = 90[/tex]
Add like terms
[tex]x + 5 +3x - 7 = 90\\4x -2 = 90\\4x = 90 + 2\\4x = 92[/tex]
Divide both sides by 4
[tex]x = 23[/tex]
b. Find [tex]m \angle ECH[/tex]
[tex]m \angle ECH = x + 5[/tex]
Plug in the value of x
[tex]m \angle ECH = 23+ 5\\m \angle ECH =28^{\circ}[/tex]
c. Find [tex]m \angle HCD[/tex]
[tex]m \angle HCD = 3x - 7\\m \angle HCD = 3(23) - 7\\m \angle HCD = 62^{\circ}[/tex]
d. Find [tex]m \angle GCF[/tex]
[tex]m \angle GCF = m \angle ECH[/tex] (vertical angles are congruent)
Substitute
[tex]m \angle GCF = 28^{\circ}[/tex]
e. Find [tex]m \angle ECG[/tex]
[tex]m \angle ECG = 180 - m \angle GCF[/tex] (angles on a straight line)
Substitute
[tex]m \angle ECG = 180 - 28\\m \angle ECG = 152^{\circ}[/tex]
f. Find [tex]m \angle GCD[/tex]
[tex]m \angle GCD = m\angle FCD + m \angle GCF[/tex]
Substitute
[tex]m \angle GCD = 90 + 28\\m \angle GCD = 118^{\circ}[/tex]
Therefore:
[tex]a. $ x = 23^{\circ}\\b. $ m \angle ECH =28^{\circ}\\c. $ m\angle HCD = 62^{\circ}\\d. $ m \angle GCF = 28^{\circ}\\e. $ m \angle ECG = 152^{\circ}\\f. $ m \angle GCD = 118^{\circ}[/tex]
Learn more here:
https://brainly.com/question/18292462
The double number line shows that to make 4 apple pies takes 14 pounds of apples.Select the double number line that correctly labels the number of pounds of apples that are needed to make 1 , 2, and 3 pies.
Answer:
10.5 pounds of apples
Step-by-step explanation:
4 devided by 14 = 3.5
3.5* 3 = 10.5
1. Dada a função exponencial abaixo, se x=1, qual valor de imagem? * a) 1 b) -2 c) 0 d) -1
Complete question:
Dada a função exponencial abaixo, se x=1, qual valor de imagem? * a) 1 b) -2 c) 0 d) -1
The function in the image is f(x) = 3^x-1
Answer:
A) 1
Step-by-step explanation:
To solve the exponential function above given that x = 1;
Substitute x = 1 into the exponential function
If x = 1
f(x) = 3^(x - 1)
f(1) = 3^(1 - 1)
f(1) = 3^0
f(1) = 1
Let a and b be rational numbers. Is a – b rational or irrational?
Answer:
Rational
Step-by-step explanation:
Since a and b are rational, a - b has to be rational because we are not dividing them. 2 rational numbers subtracted from each other is always a rational number.
Example: 34 (rational) 23 (rational)
34 - 23 = 11 (rational)