I need help with this algebra question can someone explain the steps on how you solve it ?
Answer:
27
Step-by-step explanation:
(5+√2)²
you distribute the ² in the ()
so 5²+√2²
5²=25
√2²=2 because the √ and ² cancel each other out and you get 2
so now you have
25+2
which equals
27
Given expression:
(5 + [tex]\sqrt{2}[/tex])²
Now let us solve this problem by simplifying it;
(5 + [tex]\sqrt{2}[/tex])²:
the power implies the expression in the bracket should be repeated twice:
= (5 + [tex]\sqrt{2}[/tex]) (5 + [tex]\sqrt{2}[/tex])
Then expand the bracket by distribution;
= (5 x 5) + 5([tex]\sqrt{2}[/tex]) + 5([tex]\sqrt{2}[/tex]) + 2
= 25 + 10[tex]\sqrt{2}[/tex] + 2
= 27 + 10[tex]\sqrt{2}[/tex]
A local farm has a 0.75 acre field that was planted with 26,100 corn plants. one acre is equivalent to 43,500 square feet.
Assuming the same planting density, how many corn plants could they plant on a field with an area of 80,000 square feet?
The options are:
A. 34,800
B. 48,000
C. 60,000
D. 64,000
E. 100,000
(Please answer this as fast as possible)
Answer:
D
Step-by-step explanation:
So first what you want to do is find how many acres you're working with. Since you know that one acre is 43,500 square feet, you can find the number of acres you're working with by dividing 80,000 theoretical square feet by your given conversion:
80,000/43,500 is 1.83908045977
After this what you want to do is divide the theoretical acres by the conversion that was given to you in the problem:
1.83908045977/.075 is 2.45210727969
Now that you have this number, you would multiply the number of corn plants that you have in order to get the theoretical number of plants that you could plant on an area of that theoretical size of 80,000 square feet:
2.45210727969 times 26,100 is 64,000 even.
The number of corn plants that could be planted on 80,000 square feet is : 64000.
What is an acre?An acre is a unit for expressing the area of big shapes and objects like fields, farm lands.
Analysis:
If 1 acre is equivalent to 43500square feet, then 0.75 acre would be
0.75 x 43500 = 32625 square feet.
If 325625 square feet produce 26,100 corn plants , then 80,000 square feet would produce : [tex]\frac{80000 x 26100}{32625}[/tex] = 64000 corn plants.
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Multi Step Problem (Show work!!)
-4 + -5 = 8
Answer:
the answer is -9 not 8
Step-by-step explanation:
what is the change in elevation from 70 below sea level to 40 above sea level
Answer:
110
Step-by-step explanation:
70 below sea level is kinda like -70 and 40 above is just... 40. So to get 110 you add 70 to -70 and 40 to the first sum and then add 70 and 40 together. Your sum will be 110!
Hope this helps!
Two hundred thirty-three and sixty-four hundredths in standard form
Answer:
243.64
Step-by-step explanation:
its word form
ILL MARK BRAINLIEST PLS NEED HELP
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
These type of problems could be a little tricky so I'll explain this one as I go.
So the first step I would do is to multiply the 8 in both sides so you end up with...[tex]x+11=-24[/tex]
After that it should be easier and you'll go at it normally by subtracting the 11 in both sides and that should leave you with the answer of [tex]x=-35[/tex]
how many slices of pizza there are in 20 large pizzas each having 15 slices.
A.
300
B.
350
C.
200
D.
450
Answer:
A. 300
Step-by-step explanation:
20 pizzas x 15 slices in each pizza = 300 total slices in 20 pizzas
NEED HELP! PLEASE! ASAP! 55 POINTS!
Tell whether the given order pairs are solutions of the inequality.
y ≥ - 2x + 4 ; (0,4) (-1,8)
Answer:
both
Step-by-step explanation:
hi! let's plug in the ordered pairs into the equation. the x-coordinate is substituted for x in the equation, while the y-coordinate is substituted for y.
y≥-2x+4
(0,4)
4≥-2(0)+4
4≥0+4
4≥4
this is correct since 4 is equal to 4.
(-1,8)
8≥-2(-1)+4
8≥2+4
8≥6
this is also correct since 6 is less than 8.
therefore, both ordered pairs are solutions of the inequality.
HELP ME HELP ME PLEASEEE
!!!!!!!!!
Answer:
I belive so it is
The slope: 3/2
The y-intercept: (0,9)
Step-by-step explanation:
If a = -7 and b = -16, what is the value of - a - b?
is it
-23
-9
23
9
Maria spent $22.68 on 7.2 gallons of gas. Her friend, April, spent $31.16 on 9.5 gallons of gas at a different gas station. Who paid less per gallon for gas, Maria or April? Justify. Pls help me!!!:(((
Answer:
Maria paid less. She paid $.13 less than Apri.
Step-by-step explanation:
Maria-divide $22.68 by 7.2= $3.15 per gallon of gas
April-divide $31.16 by 9.5=$3.28 per gallon of gas
what is the rate of change for the graph?
Answer:
Step-by-step explanation:
1,2
2,7
7-2 is 5 and 2-1 is 1
5/1 is the slope
7=2*5+b
7=10+b
-3=b
y=5x-3
Find the slope of the line that passes through the points (4, 3) and
(2, 7).
Answer:
-2
Step-by-step explanation:
7-3/2-4=-2
use slope formula
The equation of line passes through the points (4, 3) and (2, 7) will be;
⇒ y = - 2x + 11
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (4, 3) and (2, 7)
Now,
Since, The equation of line passes through the points (4, 3) and (2, 7)
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (7 - 3) / (2 - 4)
m = 4 / -2
m = - 2
Thus, The equation of line with slope - 2 is,
⇒ y - 3 = - 2 (x - 4)
⇒ y - 3 = - 2x + 8
⇒ y = - 2x + 11
Therefore, The equation of line passes through the points (4, 3) and
(2, 7) will be;
⇒ y = - 2x + 11
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can someone check my account to help me on my newest math problems?
CORRECT ANSWERS ONLY
wrong ones will be reported instantly
Answer:
Absolutely, I would be more than willing to.
Stacy wants to go on a vacation that will cost her at least $1540. She has $1825 saved but has
$65 deducted every week from her paycheck to pay for her insurance. At most, how many
weeks can she have these deductions made in order to afford her vacation
Answer:
4 weeks
Step-by-step explanation:
First,, we should subtract the vacation price from her savings to get the base. That is 1835-1540=295. Then we can do 295/65,, and then we get 4 7/13. So,, she can only afford 4 weeks of these deductions in order to have enough money for her vacation.
Suppose Adriana spends $ 73.00 dollars on T-shirts and pants. A T-shirt costs $5.50 and pants cost $25.50. How can you represent this situation with an equation?
Answer:
73.00=5.50x+25.50y
Step-by-step explanation:
Answer:
25.50x + 5.50y = 73.00
Step-by-step explanation:
Pick a variable for x and y (x is pants and y is T-shirt)
Since she buys pants and T-shirts you add the two values
Since she spent $73 you make it equal to 73
n-4=20
What is the answer.?
Answer:
n=24
Step-by-step explanation:
add 4 to both sides
Answer:
n =24Step-by-step explanation:
[tex]n-4=20\\\\\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\\n-4+4=20+4\\\\Simplify\\\\n = 24[/tex]
At a factory, five robots can construct
a car every ten minutes. How many
robots are needed if the company
wants to produce 30 cars every 25
minutes?
Answer:
5 times the quantity of 30 is (5*30) = 150 robots are needed.
Step-by-step explanation:
....
If f(x) = 5x - 75, find f(-2).
Answer:
-85
Step-by-step explanation:
How do you work out 3^2+2^3 indices
3^2 +2^3
9+2^3
9+8
Answer : 17
Using the point you found in part F, divide the final y-coordinate by the final x-coordinate. What do you think the result represents? Explain.
I tried 14,29
Step-by-step explanat IDK
What number is the largest?
A) 3.4 x 10^23
B) 3.4 x 10^21
C)3.4 x 10^22
Answer:
is A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The higher the exponent of a number, the larger the number is. The highest exponent is that of A which is 23.
Joy is making a fruit salad. For every 2 cups of blueberries that Joy uses in the fruit salad, she uses 3 cups of strawberries. If Joy wants to use 6 cups of blueberries in the fruit salad, how many cups of strawberries will she need to use? Use Scratchpad to draw a tape diagram to show your work.
Answer:
Joy will need to use 9 cups of strawberries for 6 cups of blueberries.
Step-by-step explanation:
Given,
Cups of blueberries used for 3 cups of strawberry = 2
Ratio of cups of blueberry to strawberry = 2:3
Joy wants to use 6 cups of blueberries.
Let,
x be the cups of strawberry for 6 cups of blueberries.
Ratio of cups of blueberries to strawberries = 6:x
Using proportion;
Ratio of cups of blueberry to strawberry :: Ratio of cups of blueberries to strawberries
Product of extreme = Product of mean
Dividing both sides by 2
PLEASE HELP WILL MARK BRAINLY
Rewrite 2/5 and 3/4 so that they have common denominators. Then add the fractions and simplify the sum
Answer:
Exact Form:
23/20
Decimal Form:
1.15
Mixed Number Form:
1 3/20
Jim brought a pizza and decided to share it with four of his friends his portion was twice as much as any of the others who each received a piece that was the same size. what fraction of the pizza did Jim have
Answer:
Jim had 1/3 of of the pizza
Step-by-step explanation:
He shared a pizza with four friends, each friend had a Piece that was the same size as the other pieces, Jim had TWICE as much pizza as his friends so He had 2 pieces since he has 4 friends and each has 1 piece, so 4 + 2 = 6
2/6 simplify if, 1/3.
Sheila makes $12.50 per hour. Calculate her earnings for a 40-hour week.
Gross Earnings
Taxes Withheld
Gross Pay
Social Security Tax
$31.00
Medicare Tax
$7.25
Total Amount of Withholdings/
Federal Tax
$44.05
Deductions:
State Tax
$15.85
Deductions
Net Pay:
Net Earnings
$
Accompanies: Employee Compensation Components
What is the gross pay, net pay and the total witholding?
Gross pay is the total amount earned before any deductions.
Gross pay 12.50 x 40 = $500
Shelia's total amount of withholding is the sum of all the taxes paid.
Shelia's total amount of withholding = 31 + 7.25 + 44.05 + 15.85 = $98.15
Net pay is the gross pay less the total withholding.
$500 - $98.15 = $401.85.
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what are the slope rules?
please write them so i can write them in my notes
many thanks <3
Answer:
y=mx+b
mx = slope
b= y intercept
Step-by-step explanation:
Answer:
y = mx + b
slope- rise/run
Step-by-step explanation:
3a-3(b-c)if a=1 b=3 c=-4
Answer:
3(1) _3 (3_4)
3_3 (1)
3_3
0
answer pls--
^^
:D
hehe
Answer:
42.24 in
Step-by-step explanation:
The formula for area is 1/2bh
1/2 x 8.8 x 9.6
use calculator
=42.24
Have a great day!
Answer:
The answer is 42.24
I aredy know it but can ya put it and see if I’m right plz :>