Answer:
length = 30 feet and width = 20 feet
Step-by-step explanation:
Let l is length and b is width of a rectangular yard. The area of a rectangle is given by :
A = lb ..(1)
A rectangular yard has a length that is 10 feet longer than the width.
length, l = 10+b ...(2)
ATQ,
Put the value of l in equation (1),
[tex](10+b)b=600\\\\10b+b^2=600\\\\b^2+10b-600=0\\\\b^2+30b-20b-600=0\\\\b(b+30)-20(b+30)=0\\\\(b+30)(b-20)=0\\\\b=-30\ \text{feet}\ \text{and}\ b=20\ \text{feet}[/tex]
Width can't be negative. The width is 20 feet.
Put the value of b is equation (2),
l = 10+20
l = 30 feet
Hence, the length and width are 30 feet and 20 feet.
Please give me 1 Integer, 1 negative fraction, 1 positive fraction, 1 negative decimal, and 1 positive decimal between -1 and 1.
Please answer ASAP. Need the answers quickly. Whoever answers correctly will get Brainliest.
Answer:
Step-by-step explanation:
Integer=8
negative fraction= -1/2
positive fraction= 1/9
negative decimal=-0.4
positive decimal= 0.8
The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centimeters, what is the length of the base, in centimeters?
Answer:
The base is 24 cm long.
Step-by-step explanation:
Equations
Let's call
b= base of the triangle
h=height of the triangle
The base is 9 cm longer than the height, thus:
b = h + 9
The area of the triangle is:
[tex]\displaystyle A=\frac{bh}{2}[/tex]
[tex]\displaystyle A=\frac{(h+9)h}{2}[/tex]
And its value is 180:
[tex]\displaystyle \frac{(h+9)h}{2}=180[/tex]
Multiplying by 2:
[tex](h+9)h=360[/tex]
Operating:
[tex]h^2+9h-360=0[/tex]
Factoring:
[tex](h-15)(h+24)=0[/tex]
The only valid positive solution is:
h = 15 cm
And b = h + 9 = 24
b = 24 cm
The base is 24 cm long.
Compare the degree of a polynomial and its depressed polynomial.
Answer:
The degree of a polynomial is one more than the degree of its depressed polynomial.
Step-by-step explanation:
Misty wants to save money to purchase a new bicycle that costs $279. She
opens a savings account and deposits $7 per week. How many weeks will it
take for her to save enough money to buy the bicycle?
Answer: Hmm, I want to say it will be about 40 weeks before she can get the bike, hope this helps!
Step-by-step explanation:
Answer:
40 weeks
Step-by-step explanation:
does the equation 4(2x+3)=16x+12-8x have one solution, infinitely many solutions, no solution, or two solutions.
Answer:
Infinite number of solutions
Step-by-step explanation:
Use distributive property to eliminate the parenthesis on the left:
8 x + 12 = 16 x + 12 - 8 x
combine like terms on the right:
8x+ 12 = 8 x + 12
subtract 12 from both sides
8 x = 8 x (notice both sides are identical)
subtract 8 x from both sides
0 = 0
This is a true statement that takes place for whatever x-value we use in the original equation. Therefore, the equation has infinite number of solutions (any real number "x")
How do you get from one number to the next using multiplication or division?
From 100 to 106
From 100 to 90
From 90 to 100
From 106 to 100
Answer:
You use decimal values. Like for the first one, multiply 100 by 0.01.
Step-by-step explanation:
The multiplication or division is 10^6/10^4
How to interpret integral multiplication?Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b
Then, their multiplication can be interpreted as:
[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]
For example,
[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]
Given;
From 100 to 10^6;
100 * 10^4 = 10^6
From 100 to 90;
100/10*9=90
From 90 to 100
90/9*10=100
From 10^6 to 100
10^6/10^4=100
Therefore, by multiplication or division will be 10^6/10^4
Learn more about multiplication here:
https://brainly.com/question/26816519
#SPJ2
which image shows the opposite of the opposite of `2/3` on a vertical number line
Answer:
c
Step-by-step explanation:
only one with negative 1
The number line shows the graph of an inequality:
A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the seventh mark to the left of 0. The region to the left of the empty circle is shaded.
Which statement explains whether −4.5 can be a value in the shaded region? (5 points)
Group of answer choices
No it cannot, because −4.5 lies to the left of −3.5.
No it cannot, because −4.5 lies to the right of −3.5.
Yes it can, because −4.5 lies to the right of −3.5.
Yes it can, because −4.5 lies to the left of −3.5.
Answer:
Problem says that the number line shows the graph of an inequality: A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the third mark to the left of 0. The region to the left of the empty circle is shaded. Graph is not given so I have created graph as per given description.
Now we have to select correct choice.
From graph we can easily see that third statement
"Yes it can, because −3.5 lies to the left of −1.5. " is correct.
Step-by-step explanation:
The answer is D
What number is 45% less than 80?
Answer:
44
Step-by-step explanation:
Find 10% of 80 = 8
Multiply by 5.5 because 10-4.5
get = 44
Answer:
45% less than, or 45% of 80 would be 36.
Step-by-step explanation:
pls mark brainliest
Write an equation to match this graph
Answer:
its y=x+7
Step-by-step explanation:
Identify all of the roots of the function.
f(x) = x3 – 5x2 – 2x + 24
–2
–3
2
3
4
Answer:
Roots are -2, 3, and 4
Step-by-step explanation:
Let's use the rational roots test.
Starting with the constant term (24), the roots are 1, 2, 3, 4, 6, 8, 12, and 24 (both positive and negative).
Starting with 2.
8 - 20 - 4 + 24 = 8 (so 2 is not a root).
Let's try 3.
27 - 45 - 6 + 24 = 0 (so 3 is a root). (x-3) is a factor.
Now we can divide x3-5x2-2x+24 by x-3 to get a polynomial.
x3-5x2-2x+24 / x-3
x2 - 2x - 8 = (x-4)(x+2)
Answer:
A, D, E
Step-by-step explanation:
For edge
Help me will give brainliest
For the Jet one the answer should be 450 but its not on there
My dog Tucker went on a diet. He used to weigh 36 pounds. He now weighs only 24 pounds. What was the percent of decrease? (Round your answer to the nearest whole percent)
Answer:
34%
Step-by-step explanation:
what is the estimate the product of 324 × 26 pls help me I forgot how to estimate
Answer:
(Not only one answer)
Step-by-step explanation:
Estimate means to round in a way.
I would do this by making the equation to ...
320 x 20
or
320 x 25
or
320 x 30
or
325 x 25
etc.
its 9600 because the rounded up of 324 is 320 and the rounded up of 26 is 30 so 320×30 is 9600
a box can hold 3 1/3 pounds of gold a chest can hold 2 3/5 times the amount of the box. how many pounds can the chest hold
Answer:
[tex]\frac{26}{3}[/tex]pounds
Step-by-step explanation:
Given parameters:
Mass of gold in the chest box = [tex]3\frac{1}{3}[/tex]pounds
Unknown:
Number of pounds of gold the chest can hold = ?
Solution:
The chest can hold [tex]2\frac{3}{5}[/tex]times the amount of the box ;
So;
Number of pounds of the gold in the chest can hold;
= [tex]2\frac{3}{5}[/tex] times x Mass of gold in the chest box
= [tex]\frac{13}{5}[/tex] x [tex]\frac{10}{3}[/tex]
= [tex]\frac{26}{3}[/tex]pounds
can someone help please
Answer: m<10 less than 10 is the answer so it would be m<10
Step-by-step explanation:
joseph is shopping for school supplies he can buy a box of 24 pens for $4.32 or a box of 36 pens for $5.76. which is a better buy
Hi I’m confused marking Brainliest uhm show answer and show ur work pls thx
Answer:
See below.
Step-by-step explanation:
Total weekly salary:
regular weekly salary + amount from working over 40 hours
In one full week of 40 hours of work, you earn a regular salary of $340.
For each hour you work over 40 hours, you earn $12.50 per hour.
Let x = number of hours you work over 40 hours.
The amount you make from these extra hours is 12.5x
Your total weekly salary is
340 + 12.5x
You want your total weekly salary to be more than $490.
340 + 12.5x > 490
Answer:
answer
Step-by-step explanation:
Which entry describes electromagnetic energy?
Answer:
energy D
Step-by-step explanation:
If $5000 is put into a savings account that pays
3.5% interest compounded monthly, how much
money, to the nearest ten cents, would be in that
account after 6 years, assuming no money was
added or withdrawn?
Answer:
17600
Step-by-step explanation:
calculator
Based on the amount of money being saved and the amount of time it will be saved, the amount in the account after 6 years would be $6,166.51
The interest is compounded monthly which means that you need to convert the interest to a monthly figure as well as the number of years you will be investing:
3.5% / 12 months = 3.5/12%
6 years x 12 = 72 months
The amount after 6 years is:
= Amount x (1 + rate) ^ number of periods
= 5,000 x (1 + 3.5/12%)⁷²
= $6,166.51
In conclusion, the amount in the account after 6 years is $6,166.51.
Find out more at https://brainly.com/question/20883478.
Consider the graph below of a piecewise defined function.
Which of the following statements are true? Select all that apply.
A. The graph is increasing when x<-2.
B. The graph has a relative minimum at (0, 0).
C. The graph has two relative maximums.
D. The graph is decreasing when -2
E. The domain is -6
F. The range is x≤4.
Answer:
D is the answer
Step-by-step explanation:
A line passes through the point (0,-4) and has slope-5. What is the equation of the line in slope-intercept form?
Answer:
Y=-5x-4
Step-by-step explanation:
Meg places a tomato plant in her garden She adds a pepper plant 6 feet to the left of the
tomato plant. Then she adds a pumpkin plant 5 feet to the right of the tomato plant. How
many feet apart are the pepper plant and pumpkin plant? Show an absolute value
expression that can be used to find your answer.
Answer:
what is the opinions for the question
Solve the inequalities
Answer:
x=3
Step-by-step explanation:
[tex]-15x+32=13\\-15x=13-32\\-15x=-45\\x=-45/-15\\x=3[/tex]
Step-by-step explanation:
To Solve This Equation You will need to
follow this;Original Equation;
-15x+32=-13
•(Firstly you will Group Like Terms)
-15x=-13-32
•(After Grouping you will go ahead and simplify)
-15x=-13-32
(You will have to add the two negative numbers and note that negative plus negative is still negative even though there is no addition sign there but you'll add them because when there is two negatives without a multiplication or division or any other sign you have to add)
-15x=-13-32
-15x=-45
(Then you proceed to divide both sides by -15)
x=3
This is because -45 divided by -15 is positive 3
Positive 3 because the negative signs cancel each other out.
Convert 49 degrees to radians. Use 3.14 for \piπ. Round to the nearest hundredth.
What is the relationship between the continental drift hypothesis and the theory of
plate tectonics?
Answer:
Plate tectonics explains why Earth's continents are moving; the theory of continental drift did not provide an explanation. Therefore, the theory of plate tectonics is more complete. It has gained widespread acceptance among scientists.
Step-by-step explanation:
Do some research on it.
Evaluate each expression for the given value of the variables. 2x + y for x= 7 and y = 11
Answer:
25
Step-by-step explanation:
Substitute 7 into 2, and 11 into y.
2(7)+(11)
14+11
25
Find an expression which represents the difference when (2 + 4y) is subtracted
from ( 8x + 3y) in simplest terms.
Answer:
Simplifying 6x * 3y * 9x2y4 Reorder the terms for easier multiplication: 6 * 3 * 9x * y * x2y4 ... When you enter an expression into the calculator, the calculator will simplify the ... For addition and subtraction, use the standard + and - symbols respectively.
Step-by-step explanation:
Enter the product. Use expanded form to help.
5 X 64
=
Answer:
hi
Step-by-step explanation:
Step-by-step explanation:
Multiplying In Expanded form;
We are multiplying ×64 in expanded form is;
In multiplying in expanded form you multiply them separately;
60 multiplied by 5 which is going to be; 300
4multiplied by 5 is going to be; 20
Then you add the products from multiplying the separate numbers which is;
300+20
=320
25 students are working in groups on a science project age group can have either two or three students in it what is the fewest number of groups there could be
Answer:
I believe 9
Step-by-step explanation:
25-21=4 (21 is 7×3)
4-4=0 (2×2)
The fewest number of groups are 9.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
25 students are working in groups on a science project, age group can have either two or three students in it.
To find the fewest number of groups:
25 divided by 3 we get remainder 1.
But 1 student can not form a group.
So, we have to find the remainder number that can form a group or groups.
25 divided by 3,
we get quotient 7 and 4 remainder.
And 4 means, 2 groups of 2 students in each.
That means, the number of groups are 7+2 = 9
Therefore, 9 is the required number.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ2
