Answer:
Breadth = 10 cm.
Difference in area = 4 cm^2 ( the square encloses more area).
Step-by-step explanation:
The perimeter of the square = 4*12 = 48 cm.
If the length of the rectangle is 14 then
2*14 + 2b = 48 where b is the breadth.
28 + 2b = 48
2b = 20
b = 10 cm.
A square encloses more area than a rectangle for a given length of wire.
Area of the square = 12^2 = 144cm^2 and
area of the rectangle = 14*10 = 140 cm^2.
Which of the following statements explains how to solve for l using the formula A = lw, when A = 28 1/4 and w = 2 1/2?
1. Subtract 2 1/2 from 28 1/4.
2. Divide 2 1/2 by 28 1/4.
3. Multiply 28 1/4 by 2 1/2.
4. Divide 28 1/4 by 2 1/2.
Answer:
4
Step-by-step explanation:
you have to reverse the equation is A=lw then to get l you use l=A/w
Answer:
Divide 28 by 2
Step-by-step explanation:
When the variable of interest is multiplied by something, you undo that multiplication by dividing the equation by that something.
Here, l is multiplied by 2, so the solution is found by dividing ...
... 28 = l·2
by 2 to get ...
... 28/2 = l
That is, you divide 28 by 2 to find l.
Is (x+3) a factor of P(x)=2X³+5X²+X+10 explain
Answer:
Doubt it because the answer has to be a factor of 10 but I may be wrong.
The function f(t) = 349.2(0.98)t models the relationship between t, the time an oven spends cooling and the temperature of the oven. A 2-column table with 5 rows. The first column is labeled time (minutes)t with entries 5, 10, 15, 20, 25. The second column is labeled oven temperature (degree Fahrenheit) f(f) with entries 315, 285, 260, 235, 210. For which temperature will the model most accurately predict the time spent cooling? 0 100 300 400
Answer:
C. 300
We need to find the temperature that most resembles with the model
We can easily see the graph if we plot it using a calculator
f(t) = 349.2(0.98)^t
Case a. 0
Zero is only achievable as the cooling time goes to infinity. This is not the case.
Case b. 100
for f = 100,
t ≈ 61.6,
which is out of the values of the table
Not the correct option
Case c. 300
for f = 300,
t ≈ 7.5,
which is in range with the values of the table
Answer:
CCCCCC
Step-by-step explanation:
1 point
6. At five below there is a discount of $5 for every 4 items you buy. If the
receipt show discount of $20 how many items did you buy?*
HINT: This problem is similar to #6, page 90
O A You bought 20 items
B You bought 15 items
C You bought 16 itmes
D You bought 8 items
c. 5x4=20
4x4=16 items.
Jana and Tim both sell cleaning products to local housecleaning services. When Jana orders from the manufacturer of the products she sells, she is given a 15% discount on her total purchase, and she must pay a $15 shipping fee. Each of Tim's orders to his manufacturer is charged at 85% of the full purchase price of the products, and he pays a $4 handling fee, plus $11 for shipping. Choose ALL of the statements that are true. When Jana and Tim purchase products having the same total value, their costs for the purchases will always be the same. Jana and Tim will never spend exactly the same amount on purchase orders to their manufacturers. Jana and Tim will only spend the same amount on purchase orders to their manufacturers when they each order products with a total purchase value of $100. If Jana switches to Tim's manufacturer for her product purchases, her cost will decrease. If Tim switches to Jana's manufacturer for his product purchases, his cost will remain the same.
Answer: Jana and Tim will only spend the same amount on purchase orders to their manufacturers when they each order products with a total purchase value of $100.
Step-by-step explanation:
Jana and Tim would only be incurring same amount when both total purchase is to a value of $100. This is so because by purchasing a goods worth same amount, they both end up incurring $15 dollar additional cost. Jana would spend $15 on shipping her goods, while Tim would pay $4 Handling fees and $11 dollar shipping fee which would also amount to $15. What this means is total spent for both Jana and Tim would amount to $115 each.
Write the question, in slope-intercept form, for the line shown in the graph below:
Can some one pls help me in this math problem?
Answer:
The question, in the slope-intercept form will be:
[tex]y=1(x)+0[/tex]Step-by-step explanation:
Taking the two points on the line to find the slope
(0, 0)
(4, 4)
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(4,\:4\right)[/tex]
[tex]m=\frac{4-0}{4-0}[/tex]
[tex]m=1[/tex]
As the point-slope form is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope
substituting the values m = 1 and the point (0, 0)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-0=1(x-0)[/tex]
[tex]y=x[/tex]
As the slope-intercept form is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
so writing the equation in slope-intercept form
[tex]y=x[/tex]
[tex]y=1(x)+0[/tex]
Therefore, the question, in the slope-intercept form will be:
[tex]y=1(x)+0[/tex]Enter the equation of the line in slope-intercept form.
The line parallel to y =
5/4x + 8 that passes through (−8, 0).
The equation of the line that passes through (−8, 0) is y = ???
Answer:
y = 5x/4 + 10
Step-by-step explanation:
If two lines are parallel, the slopes are equal
The equation of a straight line is y = mx + c
where m is slope and c is y-intercept
So in this case 5/4 is also the slope m of the second line
we can write the equation as;
y-y1 = m(x-x1)
y-0 = 5/4(x + 8)
y = 5x/4 + 10
I sell cookies for $3 and muffins for $7. Yesterday, I made $129. I sold a total of 27 items. How many of each did I sell?
Answer:
You sold 15 cookies and 12 muffins
Step-by-step explanation:
So you're given that 1 cookie is sold for $3 and 1 muffin is sold for $7
You're also given that in total you made $129, and sold 27 items
Let's make equations from that, letting c stand for amount of cookies and m for amount of muffins.
3c + 7m = 129 (equation for amount of money made)c + m = 27 (equation for amount of items sold)Now we can use the second equation to find m:
c + m = 27
m = 27 - c
Not we can substitute m into the first equation to find c:
3c + 7m = 129
3c + 7(27-c) = 129 [substitute m for (27-c)]
3c + 189 -7c = 129 [distribute 7 into (27-c)]
-4c + 189 = 129 [combine like terms]
-4c = -60 [subtract 189 from both sides]
c = 15 [divide both sides by -4]
Now we can substitute c into the second equation to find m:
c + m = 27
15 + m = 27
m = 12
2 tens 1 one x 10 can you tell my the answer
Answer:
the answer is 210
Step-by-step explanation:
10×10=20+1=21, 21×10=210
Isolate a variable in each system. You may need to use the distributive property to simplify the equation. Show your work.
3x - 4y = -7
4x + 3y = 24
Answer:
1. x=-7/3 + 4y/3
2. x= 6- 3y/4
Step-by-step explanation:
to isolate the variable you simply solve for it by moving all the terms which don't contain x to the right by multiplying, subtracting, adding, and dividing
WILL MARK BRAINLIEST! PLEASE HELP!
Write 206 in base 7
Answer:
wut
Step-by-step explanation:
You type 282 words in 6 minutes.How many words do you type in one minute?
Answer:
47
Step-by-step explanation:
282 words in 6 minutes
? in 1 minutes
282÷6=47....
47×6=282
what is the answer to -x+7=8
Answer:
-x+7=8
bring the 7 over.
to do so you must subtract 7 from itself (canceling it out), then also subtract it from 8.
now you have -x=1.
divide -x by -x (or -1) which just gives you positive x.
do the same to the 1 on the other side, giving you
x= -1
Step-by-step explanation:
graph the line
y+5=1/4(x-3)
Answer:
Graph
Step-by-step explanation:
Look at triangle ABC.
Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 2, 1, and C at ordered pair 4, 1.
What is the length of side AB of the triangle?
2
Square root of 20
6
Square root of 38
Answer:
square root of 20
Step-by-step explanation:
Answer:
sq root of 20
Step-by-step explanation:
Find the length of the shortest side ( rounded to 2DP) if the area of the rectangle is 28m^2
Answer:
4.39 to 2DP.
Step-by-step explanation:
x * (x - 2) = 28
x^2 - 2x = 28
Solving by completing the square:
(x - 1)^2 - 1 = 28
(x - 1)^2 = 29
x = +/-√29 + 1
x = 6.38516, -4.38516
x must be positive so it = 6.38516.
The shortest side = x - 2 = 4.385.
x-2(-x+9)=0
What is the value of x?
Answer:
the answer is x =6
Step-by-step explanation:
hope this helps!!
How can Ari simplify the following expression? StartFraction 5 Over a minus 3 EndFraction minus 4 divided by 2 + StartFraction 1 Over a minus 3 EndFraction Write the numerator and denominator with a common denominator. Then divide the numerator by the denominator. To do this, multiply the numerator by the reciprocal of the denominator. Write the numerator and denominator with a common denominator. Then divide the numerator by the denominator. To do this, multiply the numerators and multiply the denominators. Divide the numerator and the denominator by a – 3. Then divide the numerator by the denominator. Divide the numerator and the denominator by a – 3. Then simplify the numerator and simplify the denominator.
Answer:
the answer is a
Write the numerator and denominator with a common denominator. Then divide the numerator by the denominator. To do this, multiply the numerator by the reciprocal of the denominator.
Step-by-step explanation:
Simplifying an expression involves breaking down the expression.
The true statement is: (a) Write the numerator and denominator with a common denominator. Then divide the numerator by the denominator. To do this, multiply the numerator by the reciprocal of the denominator.
The expression is given as:
[tex]\mathbf{\frac{\frac{5}{a -3} - 4}{ 2 + \frac{1}{a - 3}}}[/tex]
Start by writing the numerator and the denominator, with a common denominator
[tex]\mathbf{\frac{\frac{5}{a -3} - 4}{ 2 + \frac{1}{a - 3}} = \frac{\frac{5 -4a +12}{a - 3}}{\frac{2a - 6 + 1}{a - 3}}}[/tex]
Cancel out the denominators of both fractions (by dividing the numerators)
[tex]\mathbf{\frac{\frac{5}{a -3} - 4}{ 2 + \frac{1}{a - 3}} = \frac{5 -4a +12}{2a - 6 + 1}}[/tex]
So, we have:
[tex]\mathbf{\frac{\frac{5}{a -3} - 4}{ 2 + \frac{1}{a - 3}} = \frac{17 -4a }{2a - 5}}[/tex]
Hence, the correct option is (a).
Read more about fraction division at:
https://brainly.com/question/17205173
What is the final amount if 943 is decreased by 13% followed by a further 6% decrease?
Give your answer rounded to 2 DP.
Answer:
943-13% = 820.41
820.41 - 6% = 771.1854
Step-by-step explanation:
Cassandra's money that she makes from selling cookies can be determined by the equation y = 2X -
20. To not lose money she has to sell over 10 cookies per day but she only makes a batch of 15
cookies each day. What is the range in this situation if she does not lose money?
Answer choices shown in picture. Please help! I put 45 points and i’ll give you a brainliest if it’s correct!
Answer:
E
Step-by-step explanation:
Because the y-intercept is (0,-20)
explain to "the 6th grader" how to find the area of a square
Answer:
You find an area of a square by multiplying the width and the length.
Answer:
you multiply the length by the width.
Step-by-step explanation:
the attached file shows what the length and width are.
Write an equation of the line that passes through the points (-1,8) and (2,-4)
Answer:
y=mx+b
y=-4x +12 is your equation
m= yo
your slope
Step-by-step explanation:
Answer:
The equation of the line that passes through the points (-1,8) and (2,-4) is:
[tex]y=-4x+4[/tex]Step-by-step explanation:
Given the points
(-1,8)(2,-4)[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-1,\:8\right),\:\left(x_2,\:y_2\right)=\left(2,\:-4\right)[/tex]
[tex]m=\frac{-4-8}{2-\left(-1\right)}[/tex]
[tex]m=-4[/tex]
As the point-slope form of the line equation is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope.
substituting the values m = -4 and the point (-1,8)
[tex]y-\(8\right=-4\left(x-\left(-1\right)\right)[/tex]
[tex]y-8 = -4(x+1)[/tex]
Add 8 to both sides
[tex]y-8+8=-4\left(x+1\right)+8[/tex]
[tex]y=-4x+4[/tex]
Therefore, the equation of the line that passes through the points (-1,8) and (2,-4) is:
[tex]y=-4x+4[/tex]Help me plz nd ty:)
is -13 an integer
Answer:
yes it is an integer
Step-by-step explanation:
please mark as brainliest
Answer:
YES -13 is an integerStep-by-step explanation:
It is an integer because integers are whole numbers. This means that it doesn't include decimals, fractions, and irrational numbers. Even though not all negative numbers are integers, this one is, and that is because it is not a decimal, fraction, or irrational number.
Hope this helps! ^^
When x=1/3 and y=1/6, −2x+8y=
Answer:
The answer is 2/3.
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
-2x+8y
-2(1/3)+8(1/6)
=2/3
Which angles are coterminal angles for an angle of 125°?
Answer:
125° = 25/36 π ≈ 0.694 π
Positive coterminal angles: 485°, 845°, 1205°, 1565°
Negative coterminal angles: -235°, -595°, -955°, -1315°
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answer: x=20 degrees
Step-by-step explanation:
Base angle theorem makes angle 2 congruent to the 30 degrees angle.
Make an equation: 2x-10=30
Solve it to get x= 20 degrees.
how do i solve for x
Answer:
x=-27
Step-by-step explanation:
4/7x * 14x = 1/14(14x) + 5/2x(14x)
Multiply both sides by 14x
8 = x+35
-27 = x
IF U HELP ME THANK YOU , I need help on this
Answer: <1 is 46
Step-by-step explanation: If 4x+10+2x-16=180 becuase they are same sided interior angle they have to equal 180. and if you do the process you get X=31 and if you plug it in you get <1=46 and to check it you have to plug it in the other and add thoses two up and see if you get 180. which it does.
an event is called__ if the probability it will occur equals 0. help me please, i beg you
Answer:
impossible
Step-by-step explanation:
If there is no chance of something happening, then it is...HELP! The value of y is directly proportional to the value of x. Given y = 11 when x = 77. What is the value of y when x = 98?
17
7
686
14
Answer:
The answer should be 14.
Step-by-step explanation:
14×7=98