Solution:-
Given that length of rectangle is 3 ft more than its breadth . Also , perimeter of rectangle is 62 ft . And we are asked to find the Length and breadth .
So , we know we can find perimeter of rectangle as :
[tex]\boxed{\red{\bf \dag Permiter_{rectangle}=2(l+b)}}[/tex]
Now , let us take the
Breadth be x .Length be x + 3 .So , as per Question :
[tex]\tt :\implies Perimeter=2(l+b)[/tex]
[tex]\tt :\implies 62 \cancel{ft.} = 2( x + 3 + x ) \cancel{ft.} [/tex]
[tex]\tt :\implies 62 = 2 ( 2x + 3 ) [/tex]
[tex]\tt :\implies 62 = 4x + 6 [/tex]
[tex]\tt :\implies 4x = 62 - 6 [/tex]
[tex]\tt :\implies4x = 56. [/tex]
[tex]\tt :\implies x =\dfrac{\cancel{56}}{\cancel{4}} [/tex]
[tex]\underline{\boxed{\red{\tt\longmapsto \:\:x\:\:=\:\:14}}}[/tex]
Hence we got x as 14 .
So , let's put the value in our assumption:
[tex]\boxed{\green{\bf \pink{\dag} Length = x + 3 = 14 + 3 = 17 ft.}}[/tex][tex]\boxed{\green{\bf \pink{\dag} Breadth = x = 14 ft.}}[/tex]What is the solution to the equation 6y –2(y + 1) = 3(y – 2) + 6?
y = –10
y = –2
y = 2
y = 6
6y –2(y + 1) = 3(y – 2) + 6?
The answer is y = 2 (the third option.)
Answer:
y = 2
Step-by-step explanation:
[tex]6y-2(y+1)=3(y-2)+6\\\\6y-2y-2=3y-6+6\\\\4y-2=3y\\\\4y-2=3y\\\\4y-2+2=3y+2\\\\4y=3y+2\\\\4y-3y=3y-3y+2\\\\\boxed{y=2}[/tex]
Hope this helps.
3х + 5 = 3х + 5
What solution is this?
pls help best answer gets brainest
Answer:
0.6
Step-by-step explanation:
Positive is right and Negative is left. Move from 0 right to 1.4 and then move left 0.8 units to end up at 0.6
What is 28 divided by 1,000
Answer:0.028
Step-by-step explanation:
Answer:
0.028
Step-by-step explanation:
I used a calculator.
On a piece of paper graph y= 2x-3. Then determine which answer matches the graph you drew. (there is 4 options not just three)
Answer:
A
Step-by-step explanation:
since the slope (2) is positive the graph is similar to y=x, so graphs B and D are eliminated
so when x=1 we have
y=2(1)-3
y=2-3
y=-1
so the point is (1,-1), graph C eliminated
so it's A
The standard equation for finding the equation of a line is expressed as
y = mx + b
m is the slope of the line
b is the y-intercept
Before we can plot the equation of a line, we must know the slope and the y-intercept of such line.
Given the equation of a line to be plotted expressed as y = 2x - 3
Compared with the standard equation;
mx = 2x
m = 2
Hence the slope of the line is 2
Similarly;
b = -3
Hence the y-intercept is 3.
Find the required graph attached below:
Learn more here: https://brainly.com/question/17003809
What is the difference of the fractions? Use the number line and equivalent fractions to help find the answer. Negative 2 and one-half minus (negative 1 and three-fourths) A number line going from negative 3 to 0 in increments of One-fourth. A Negative 4 and one-fourth B –4 C Negative three-fourths D Negative one-half
Answer:
B
Step-by-step explanation:
because that is were you plot it on the number line
Answer:
B
Step-by-step explanation:
Got it right on my test.
p(x)=-4x-2
Find p(a-3)
Jessie, Kristen, and Kendall all went shopping together and bought shirts. Kristen bought a shirt that cost $8.50. Jessie's shirt cost $12.75. If their total bill was $39.45 how much did Kendall's shirt cost?
Answer:
Kendall's shirt was $18.20.
Step-by-step explanation:
39.45 - 8.50 - 12.75 = 18.20
Examine the two-step equation
7
-2
4 4
Which property of operations allows you to add the same constant term to both sides?
O multiplication property of equality
division property of equality
O addition property of equality
subtraction property of equality
1) Intro
Answer: addition property of equality
Step-by-step explanation:
Answer:
Addition property of equality (C)
Step-by-step explanation:
Edge unity
2021
is 121,196,24 and 12 rational numbers or irrational numbers
Answer:
Its a rational number
Find the value of y.
A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-ounce package?
Answer:
The answer is 75
A physician's assistant measures a child and finds his height is 41 in.
At his last visit to the doctor's office the child was 38 in, tall. How much
did the child grow?
Answer:
He grew 4 inches since his last visit.
Step-by-step explanation:
41 - 38 = 4
please help me! WILL MARK BRAINLIEST
Answer:
100
Step-by-step explanation:
455=94x22^2/r
455=94x484/r
455=45496/r
0.01=1/r
100=r
Is 5 1/2 rational or irrational ?
Answer:
Rational
Step-by-step explanation:
It is a rational number because any number that can be rewritten as a simple fraction is a rational number. This means that natural/counting numbers, whole numbers and integers, like 5, are all part of the set of rational numbers as well because they can be written as fractions, as are mixed numbers such as 1 ½.
The formula a = m − n represents the actual cost, a, of an item with original price m after a coupon for n dollars off is applied. Solve the formula for the amount of the coupon. Group of answer choices n = −m − a n=a+m n=m−a n = a − m
Answer:
[tex]n = m - a[/tex]
Step-by-step explanation:
Given
[tex]a = m - n[/tex]
Required
Solve for n
[tex]a = m - n[/tex]
Add n to both sides
[tex]a + n = m - n + n[/tex]
[tex]a + n = m[/tex]
Subtract a from both sides
[tex]a - a + n = m - a[/tex]
[tex]n = m - a[/tex]
Hence, option C answers the question
18.194 rounded to the tenths
Answer:
18.2
Step-by-step explanation:
To round 18.194 to the nearest tenth consider the hundredths’ value of 18.194, which is 9 and equal or more than 5. Therefore, the tenths value of 18.194 increases by 1 to 2.
18.194 rounded to the nearest tenth = 18.2
Lesson 1-1: The periodic comet named Johnson has been seen at every return since its discovery in 1949, as shown in the table below: Occurrence Year Seen 1- 1949 2 1956 3 1963 4 1970 Use the table for Items 1-5. Describe any pattern you see in the table. Write the values in the second column at the table as a sequence. Identify the common difference. If the pattern continues, in which of the following years will the comet be visible again? A. 2017 B. 2018 C. 2019 D. 2020 About how many times would the Johnson comet be visible during a typical person’s lifetime? Explain your reasoning. 5. Reason abstractly. A man was born during a year in which the Johnson comet was visible in the sky. The next time that the comet was visible after the man’s birth year was in 2005. In what year was the man born? The table to use is attached to the question.
Answer:
Step-by-step explanation:
Occurrence Year seen Difference
1 1949 -
2 1956 1956 - 1949 = 7
3 1963 1963 - 1956 = 7
4 1970 1970 - 1963 = 7
Difference between each successive term of year seen = 7 years
Therefore, there is a common difference of 7 years between each successive term.
Function defining the year seen will be a linear function and will increase in the same pattern. (multiple of 7 years)
2017 - 1970 = 47 (It's not the multiple of 7)
2018 - 1970 = 48 (It's not the multiple of 7)
2019 - 1970 = 49 (multiple of 7)
2020 - 1970 = 50 (It's not the multiple of 7)
Therefore, comet will be seen next in 2019.
Option (C) will be the answer.
If a person is born in 2005
Then difference between 2005 and 1949 = 56 years
Number of times comet seen after 1949 = [tex]\frac{56}{7}=8[/tex] times
Total number of comet seen in the lifetime = 8 times
Use a number line to show why this is true.(+3)-(-2)=(+3)+(+2)
Answer:
It is true - multiply by - is equal to +
so
3-(-2)=3+2
3+2=3+2
5=5
so
its true in mathematically form
Step-by-step explanation:
3(6+zw) = 6(w t3)
How many solutions
Help what is the answer to 7.26 divide by 5 and I also need the steps include Plz!!
Answer:
the answer is 1.452.
Step-by-step explanation:
7.26 ÷ 5 = 726 ÷ 500 = 1.452
hope this helps!
x+ 2 / X + 3 =5 plz give me and
Answer:
The answer is x = -13/4
Step-by-step explanation:
-13/4 + 2 / -13/4 +3 = 5
The question is in the picture above. Please help
Answer:
it is 1
Step-by-step explanation:
a researcher is studying a group of field mice. the distribution of the weight of field mice is approximately normal with mean 25 grams and standard deviation 4 grams. which of the following is closest to the proportion of field mice with a weight greater than 33 grams?
a)0.046
b)0.977
c)0.954
d)0.023
Using the normal distribution, it is found that the proportion is closest to 0.023, given by option d.
---------------------------------
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
---------------------------------
Mean of 25 means that [tex]\mu = 25[/tex]Standard deviation of 4 means that [tex]\sigma = 4[/tex].The proportion above 33 is 1 subtracted by the p-value of Z when X = 33, thus:[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{33 - 25}{4}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a p-value of 0.977.
1 - 0.977 = 0.023
Thus the proportion is 0.023, given by option d.
A similar problem is given at https://brainly.com/question/15181104
M is the midpoint of AC what is AC x+20 5x-4
8
Henry earned 5 dollars for each lawn he mowed. If he had 12 lawns to mow, but forgot
to mow 7 of them, how much money did he actually earn?
A $10
B $49
C $24
D $8
Plz help
Answer:
huh that's weird there should be an answer for 25
Step-by-step explanation:
PLS I NEED HELP Choose all of the expressions with a product of at least 50.
A. 10.7 times 5
B. 8.4 times 6
C. 7.33 times 6
D. 7.5 times 7.5
E. 2.1 times 24
Answer:
Its B
Step-by-step explanation:
Im really good with answers trust me
The expressions with a product of at least 50 is 8.4 times 6 and 2.1 times 24 .
What is expression?An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined
Given:
A product of a number's prime factors is the prime numbers that need to be multiplied together to make that number.
We have to choose the expressions with a product of at least 50.
According to given question we have
10.7 times 5=10.7*5=53.5
8.4 times 6 =50.4
7.33 times 6 =43.98
7.5 times 7.5 =56.25
2.1 times 24 =50.4
Therefore, the expressions with a product of at least 50 is 8.4 times 6 and 2.1 times 24 .
Learn more details about expression here:
https://brainly.com/question/14083225
#SPJ2
Before beginning voice lessons, Martina already knew how to sing 18 pieces, and she
expects to learn 2 new pieces during each week of lessons. How many weeks of lessons will
Martina need before she will be able to sing a total of 24 pieces?
Answer:
Before beginning voice lessons, Martina already knew how to sing 18 pieces, and she
expects to learn 2 new pieces during each week of lessons. How many weeks of lessons will
Martina need before she will be able to sing a total of 24 pieces?
Which expression is equivalent to −2.1+(−5.9)+(−3.7) ?
(2.1+5.9)+(−3.7)
−(2.1−5.9)+(−3.7)
−2.1−(5.9+3.7)
(2.1+5.9+3.7)
Answer:
-2.1-5.9-3.7
-117/10
-11.7
Step-by-step explanation:
Answer:
-(2.1 - 5.9) + (-3.7)
three-quarters of students are wearing the school's colors. if there are 300 students how many are wearing the colors?
Answer:
225 students are wearing school colors.
Step-by-step explanation:
1. we know that 75% or .75 of the students are wearing school colors.
2. to find what this number is we need to know what 75% of 300 is.
("of" is a keyword meaning multiply)
3. We can do this by multiplying:
300(.75) = 225
