Answer:
$75
Step-by-step explanation:
$15 divided by 0.2 = $75
0.2 = 20%
A rectangle has length 4 inches and width 2 inches. If the length and width of the rectangle are each reduced by 50 percent, by what percent will the area of the rectangle be reduced?
Answer: 25%
Step-by-step explanation:
Given: A rectangle has length 4 inches and width 2 inches.
Area = Length x width
= 4 inches x 2 inches
= 8 square inches
If length is reduced by 50% , then length [tex]=0.5\times4=2\text{ inches}[/tex]
If width is reduced by 50% , then length [tex]=0.5\times2=1\text{ inch}[/tex]
Reduced area = (reduced length) x (reduced width)
= 2 inches x 1 inch
= 2 square inches
The percentage of the area of the rectangle be reduced :-
[tex]\dfrac{\text{Reduced area}}{\text{Original area}}\times100 \\\\=\dfrac{2}{8}\times100\% \\\\=25\%[/tex]
Hence, the percent of the area of the rectangle be reduced = 25%
What is the solution to 2/3(9x-6)=4(x+2)+ 2 round to the nearest hundredth
Answer:
7
Step-by-step explanation:
First expand 2/3 (9x-6) = 4 (x+2)+ 2 By doing 2/3 (9x - 6)/3
Which gives you 2/3 (9x - 6)
Then you factor it 2/3 (9x - 6) 6 (3x - 2) get 6 (3x - 2) / 3
then you divide 6/3 with 2
Getting 2 (3x - 2)
The use the distributive law
2 x 3x - 2 x 2
simplify the equation
6x - 4
expand 4 (x +2) + 2: 4x + 10
which then equals 6x-4=4x+10
add 4 to both sides
6x-4+4=4x+10+4
simplify
6x=4x+14
subtract 4x from both sides
simplify again
2x=14
divide both sides by 2
2x/2 = 14/2
simplify one last time and get the answer
x=7
Someone please explain, it's most of my homework! I already did half the problem! Ellie bought 5 cups of apple juice and 7 sandwiches for $25.00. Jim bought 2 cups of apple juice and 3 sandwiches for $10.50. How much did each cup of apple juice cost? How much did each sandwich cost. I set up the equations 5a+7s=25 and 2a+3s=10.5. How do I solve them?
Answer:
5 cups of apple juice and 7 sandwiches for a total of 25 bucks Jim bought 2 cups of apple juice and 3 sandwiches for $10.50Now we must form some sort of equation for the following: (1) 5a+7s=25(2) 2a +3s =10.5Let us isolate for one variable 3s= 10.5-2a s= 3.5 -2/3a Plug that into (1)5a + 7 (3.5 -2/3a) = 25 a=1.5 Hence each apple juice cost 1.5 Now we can plug that into (2) to solve for the sandwich costs= 3.5- 2/3(1.5) s=2.5 Rate positively and give brainlistIn the diagram below of triangle ABC, DE is parallel to AC. IF AD = 20, DB = 10 and AC = 33, find DE.
Answer:
11
Step-by-step explanation:
It's proportions my son.
x / 33 = 10 / 30
It's 10/ 30 because the whole BA is 30 in total
Then cross multiply.
30x = 330
x = 11
Can anyone help me please?
Answer:
x=35; y=55; z=55
Step-by-step explanation:
x+y=90; z+x=90
z+35=90
z=90-35= 55
x=90-55= 35
y= 90-35 =55
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1. Write an equivalent expression in standard form, and collect like terms(Combining like terms)
2. Express the answer from Part A as an equivalent expression in factored form.
Answer:
4x-10y
Step-by-step explanation:
Look at the pic...
Answer:
4x + 2y
Step-by-step explanation:
1. 4x - 3(x - 2y) + 1/2(6x - 8y)
4x - 3x + 6y + 3x - 4y
4x + 2y
2. 4x - 3(x - 2y) + (1/2)(6x - 8y) =
4x - 3x + 6y + 3x - 4y =
4x + y(6 - 4) = 4x + 2y = 2(2x + y)
I hope this helps
The reciprical of 312-938 is what number? If 23-3x=2 then x=y for 3
Answer:
-1/626 and for 23-3x=2 x=7
Step-by-step explanation:
t-5 for t=7 solve for t
Answer:
2?
Step-by-step explanation:
7-5 is equal to 2
Answer:
2
Step-by-step explanation:
Enter the value of p so the expression 4(n+7) is equivalent to (n+p)4.
Answer:
p=7
Step-by-step explanation
both n and 4 are in both so p will have to be the same thing as 7 in order to be equal
The value of p that makes the expressions 4(n+7) and (n+p)4 equivalent is p = 7.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To make the expressions 4(n+7) and (n+p)4 equivalent, we need to distribute the 4 in the second expression, which gives us:
(n+p)4 = 4n + 4p
Now we can set this expression equal to 4(n+7) and solve for p:
4n + 4p = 4(n+7)
Simplifying both sides:
4n + 4p = 4n + 28
Subtracting 4n from both sides:
4p = 28
Dividing both sides by 4:
p = 7
Therefore,
The value of p that makes the expressions 4(n+7) and (n+p)4 equivalent is p = 7.
Learn more about expressions here:
https://brainly.com/question/3118662
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what point shows a local maximum ?
A recipe uses 4 cups of milk to make 8 servings. If the same amount of milk is used
for each serving, how many servings can be made from one pint?
1 gallon 4 quarts
1
quart
2 pints
1 pint = 2 cups
1 cup = 8 fluid ounces
Before you try that problem, answer the question below.
How many cups will you need to find the number of
servings for?
Answer: 4 servings
4 cups of milk = 8 servings
2 cups of milk = 4 servings
I divided both sides by 2 to change "4 cups milk" into "2 cups milk".
The reason why I want 2 cups of milk is because the chart you're given shows 1 pint is 2 cups.
Therefore, 1 pint of milk will get you 4 servings.
¿Una ecuación algebraica de5 grado puede Tener todas sus raices complejas y no reales?
Answer:
solution
Step-by-step explanation:
the sentence of the rectangle are 3cm and 4cm what is the length of the diagonal
quem poder me ajudar, eu agradeço, olhem a imagem a baixo
Answer:
counfsed so can u write it in english ?
Step-by-step explanation:
Tyra's family is spending the afternoon in Millersville. They plan to see a movie and then explore the town. The movie will cost the family $36, and parking costs $4 per hour.
Which cost will change depending on how long they are there?
A. $36
B. $4
GIVING BRAINLIEST FOR CORRECT ANSWER!!!!
Answer:
All systems have 2 real solutions.
Step-by-step explanation:
there are X and Y unknowns.
Which rectangular equation is formed by eliminating the parameter?
y = t^3
x = t + 5
Given :
Two equations :
y = t³
x = t + 5
To Find :
Rectangular equation formed by eliminating the parameter.
Solution :
Putting value of t from second equation to first equation.
We get :
[tex]y = ( x-5)^3[/tex]
Also, t from equation first :
[tex]t = \sqrt[3]{y}[/tex]
Putting the value of t and equation two, we get :
[tex]x = \sqrt[3]{y}+5[/tex]
Therefore, rectangular equation is formed by eliminating the parameter is :
y = ( x - 5)³ and x = ∛y + 5 .
The rectangular equation is y = (x - 5)³ which is obtained from the parametric equations y = t³ and x = t + 5 option (3) y = (x - 5)³ is correct.
What are parametric equations?A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.
The options are:
y = (x + 5)³x = (y + 5)³y = (x - 5)³y = (x - 5)²It is given that:The parametric equations are:
y = t³
x = t + 5
From the second equation that is x = t + 5
Take the value of t and plug in the equation y = t³:
t = x - 5
y = (x - 5)³
The above equation represents a cubic equation.
Thus, the rectangular equation is y = (x - 5)³ which is obtained from the parametric equations y = t³ and x = t + 5 option (3) y = (x - 5)³ is correct.
Learn more about the parametric function here:
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please hurry ! ! which linear inequality is represented by the graph?
Answer:
y>2/3x+3
Step-by-step explanation:
Answer and Step-by-step explanation:
The answer is the third option, or:
[tex]y > \frac{2}{3} x + 3[/tex]
This is because the line has a rise of 2 and a run of 3 (so a slope of 2/3)
and Everything is filled in above the line, so y is greater than the the values on the line and below the line.
#teamtrees #WAP (Water And Plant)
Tessa's cumulative GPA 'for 3 semesters was 3.24 for 46 course units. Her fourth semester GPA was 3.86 for 12 course units. What is Tessa's cumulative GPA for all 4 semesters
Answer:
3.37
Step-by-step explanation:
Given that :
CUNMULATIVE GPA for 4 semesters :
First 3 semesters:
Cummulative GPA = 3.24
Number of courses = 46
4th semester:
Cummulative GPA = 3.86
Number of courses = 12
Cummulative GPA for all 4 semesters:
Sum of product of Cummulative GPA and number of courses / sum of courses
= [(3.24 * 46) + (3.86 * 12)] ÷ (46 + 12)
= (149.04 + 46.32) / 58
= 3.3682758
= 3.37
Tessa's cumulative GPA for all 4 semesters is 3.37 and this can be determined by using arithmetic operations.
Given :
Tessa's cumulative GPA 'for 3 semesters was 3.24 for 46-course units. Her fourth semester GPA was 3.86 for 12-course units.Given that cumulative GPA for 3 semesters was 3.24 for 46 courses and the fourth semester GPA was 3.86 for 12-courses then the cumulative GPA for all 4 semesters will be:
[tex]=\dfrac{(3.24\times 46)+(3.86\times 12)}{(46+12)}[/tex]
[tex]=\dfrac{149.04+46.32}{58}[/tex]
[tex]=\dfrac{195.36}{58}[/tex]
= 3.37
Tessa's cumulative GPA for all 4 semesters is 3.37.
For more information, refer to the link given below:
https://brainly.com/question/15385899
Tyra has 12 2/3 cups of sugar. If r is the amount of sugar called for in one batch of cookies, the expression 12 2/3 ÷ r can be used to find how many batches Tyra can make with the sugar she has. If r is 2/3 cup, how many batches of cookies can Tyra make? Enter your answer in the box. Quick I need help plz.
Answer:
19 batches
Step-by-step explanation:
Given that:
Total number of cups of sugar = [tex]12\frac{2}{3}[/tex]
Amount of sugar used in one batch = [tex]r[/tex]
Number of batches that can be made by Tyra with the amount of sugar that is available with Tyra can be calculated by dividing the total number of cups of sugar available with Tyra with the amount of sugar to be used in one batch.
i.e.
Number of batches = [tex]12\frac{2}{3} \div r[/tex]
Also, if we put the value:
[tex]r=\frac{2}{3}[/tex]
We have to find the number of batches of cookies that can be made by Tyra.
Solution:
First of all, let us have a look at the formula to convert the mixed fraction into fractional number.
[tex]a\dfrac{b}{c} = \dfrac{a\times c + b}{c}[/tex]
Therefore,
[tex]12\dfrac{2}{3} = \dfrac{12\times 3 + 2}{3} = \dfrac{38}{3}[/tex]
Number of batches:
[tex]\dfrac{38}{3} \div \dfrac{2}{3}\\\Rightarrow \dfrac{38}{3} \times \dfrac{3}{2}\\\Rightarrow \bold{19}[/tex]
Therefore, 19 batches can be completed.
Please help me ;-;
What's the next term?
0, 1/3
3, 2
6, 12
9, ?
(Above is supposed to be a table btw)
Answer:
72
Step-by-step explanation:
Based on the table, the left and the right side have a pattern. When 3 is added to the left side, the right side is multiplied by 6. Since 12 multiplied by 6 is 72, the missing number is 72.
Solve the system by substitution 10x-2y=-16 and y=3x
Answer:
x=4
Step-by-step explanation:
10x- 2(3x)=-16
10x-6x=16
4x=16
x=16/4=4
expand and simplify
3(x-2)+2(4x-1)
Answer:
11x-8
Step-by-step explanation:
First you expand 3(x-2): 3x-6
3x-6+2(4x-1)
then expand 2(4x-1): 8r - 2
3x-6+8x-2
and then simplify 3x - 6 + 8x -2: 11x - 8
11x - 8
so the answer is 11x-8
Mark earned $13.50 mowing lawns on Saturday. On Sunday, he spent $6.95 when he purchased a movie ticket. He needed to borrow money from a friend to complete his purchase of a snack. How much money did Mark pay for the snack if he owes his friend $5?
Answer:
$11.55
Step-by-step explanation:
He spent 6.95 of the 13.5 which means he has 6.55 left. He then borrows 5 more dollars to buy snacks, so 6.55+5=11.55.
Answer:
$11.55
Step-by-step explanation:
hope this helped
Using the problem above, if the tax was 7.25%, what would the final sale price be for each pair of jeans? Round to the nearest cent.
How long would it take me to earn $139.50 of interest at 6% interest rate if i started with $930
Answer:
I think 0.06
Step-by-step explanation:
Write an express for the perimeter of the figure shown by combing like terms.
Answer:
21w+3
Step-by-step explanation:
1) 9w+5+5w+7w-2
2) 9+5+7=21.
3) 5-2=3
In a survey, 9 out of 10 dentists recommend PurWhite toothpaste for their patients. If 80 dentists were surveyed, how many doctors recommend PurWhite toothpaste?
Answer:
72 dentists
Step-by-step explanation:
In this case, we can multiply 80 by 9/10 or .9 to get our answer.
If we were to multiply by 9/10 it would look like this:
[tex]80 * \frac{9}{10} \\\frac{720}{10} = 72[/tex]
But, if we were to multiply by .90 (remember that 9/10 = .9) it would look like this:
[tex]80(.90) = 72[/tex]
Therefore, if 9 out of 10 dentists recommended PurWhite toothpaste and 80 were surveyed then 72 out of the 80 would have recommended it.
I hope this helps!!
If you have any questions feel free to ask!
- Kay :)
Decrease 65kg by 3/5
Step-by-step explanation:
answer........ . . .......
Answer:
26kg
Step-by-step explanation:
Firstly, we need to find 1/5 of 65kg so we do: 65/3=13
Then, to find 3/5 of 65kg we multiply 13*3 to get 39
Lastly, we subtract 39 from 65 to get 26kg
helpppppppppppppppppp
Answer:
hmmmmmmmmmm i think its inverse operation
PLEASEEEEE HELPPPP!
Answer:
option 4
Step-by-step explanation:
put like terms on either side
9x + 2a = 3a - 4x
subtract both sides by 2a
9x = a - 4x
add both sides by 4x
13x = a
divide both sides by 13
x = a/13
please give thanks, hit that heart button :)
Answer:
4.) a/13
Step-by-step explanation:
9x + 2a = 3a - 4x
9x + 4x = 3a - 2a
13x = a
13x/13 = a/13
x = a/13
