Answer:
1) -3x + 90
=(3)(30+−x)
=(3)(30)+(3)(−x)
=90−3x
=−3x+90
2) 37x+90
=40x+(3)(30)+(3)(−x)
=40x+90+−3x
Combine Like Terms:
=40x+90+−3x
=(40x+−3x)+(90)
=37x+90
A boy is 12 years old his mother is four times as old as he is in x years time the mother will be three times as old as. the son form an equation in x and hence find x
plzzzzzzz help
Answer:
age of boy = 12
age of mother = 4 times age of boy = 4*12 = 48
let x = years time
3(12+x) = 48+x
36+3x = 48+x
3x-x = 48-36
2x = 12
x = 6
In 6 years time the mother will be three times as old as the son.
pleasexmark me as brainlist
2= 2.27- m/4
How do I do this?! I need this for mathematics homework!
Answer:
1.08 = m
Step-by-step explanation:
2= 2.27- m/4
Subtract 2.27 from each side
2-2.27= 2.27-2.27- m/4
-.27 = -m/4
Multiply each side by -4
-.27 * -4 = -m/4 *-4
1.08 = m
The area of the square is 64 ft? What are the side lengths?
4
4 ft, 16 ft 4 ft, 16 ft
B)
16 ft, 16 ft, 16 ft, 16 ft
C)
8 ft. 8 ft, 8 ft. 8 ft
D)
4 ft. 4 ft 4 ft. 4ft
Answer:
C
Step-by-step explanation:
the square root of 64 is 8ft
Cuantos gramos de grasas saturadas hay en 100 g de leche entera en polvo?
Answer: Well 100g is 100 grams so 100 grams?
Step-by-step explanation:
4r + 13 = -15 -3r
i dont know how to do this and its due at 4
Answer:
r = -4
Step-by-step explanation:
4r + 13 = -15 -3r
7r = -28
r = -28/7
r = -4
Answer:
r = -4
Step-by-step explanation:
4r + 13 = -15 -3r
Add 3r to each side
4r + 13+3r = -15 -3r+3r
7r +13 = -15
Subtract 13 from each side
7r+13-13 = -15-13
7r = -28
Divide each side by 7
7r/7 = -28/7
r = -4
Look below :)
Everything is underneath, ty. Just need an answer by Wednesday
Answer:
Step-by-step explanation:
[tex]\dfrac{3}{6}=\dfrac{9}{18}=\dfrac{27}{54}[/tex]
[tex]\dfrac{3*3}{6*3}=\dfrac{9}{18}\\\\\\\dfrac{3*9}{6*9}=\dfrac{27}{54}[/tex]
Mr. Hayes has 111 straw bundles to use for bedding in his horse stalls.What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles of straw?
A woman stands on a mountain at 8,000 feet above sea level. A man stands in a valley at 400 feet below sea level. What equation shows the difference in their elevations?
8,000 + (-400) =
8,000 - 400 =
8,000 - (-400) =
-8,000 - 400 =
Answer:
8,000 - (-400)
Step-by-step explanation:
Answer: 8,000 - (-400) =
Step-by-step explanation:
C. Find the equation of the line perpendicular to
y = 14x-5 and passing through (2,-3).
Answer:
[tex]y = -4x + 5[/tex]
Step-by-step explanation:
We want to find the equation of the line that is perpendicular to:
[tex]\displaystyle y = \frac{1}{4} x - 5[/tex]
And which passes through the point (2, -3).
Recall that the slopes of perpendicular lines are negative reciprocals of each other.
In other words, since the slope of the original line is 1/4, the slope of the perpendicular line will be -4.
We are also given that it passes through the point (2, -3). Hence, we can consider using the point-slope form:
[tex]\displaystyle y - y_1 = m(x- x_1)[/tex]
Substitute:
[tex]\displaystyle y - (-3) = -4 (x - (2))[/tex]
Simplify:
[tex]y + 3 = -4(x - 2)[/tex][tex]y = -4x + 5[/tex]
Distribute:
[tex]y + 3 = -4x +8[/tex]
And subtract:
[tex]y = -4x + 5[/tex]
In conclusion, our equation is:
[tex]y = -4x + 5[/tex]
(PLEASE ANSWER ASAP I JUST NEED TO KNOW IF I GOT THIS ONE CORRECT PLEASE EXPLAIN ALSO)
Hey there! I'm happy to help!
We have $100.75 to spend.
Each spool costs $3, and we have 24 spools.
3×24=72
Each glue costs $1 and we have 7 packages of glue.
7×1=7
We add up these expenses.
72+7=79
And we subtract from our total amount.
100.75-79=21.75
So, Joanna has $21.75 left after buying these things.
Have a wonderful day and keep on learning! :D
Answer:
21.75
total money she has is 100.75
1 spool of ribbon $3
she buys 24 spools = 24X3
$72
1 glue cost $1
so 7 package glue cost =7X1= $7
money that he left is equals to 100.75- 79
=21.75
Quick please I really need this
Answer:
y = 39
Step-by-step explanation:
550 x [tex]\pi[/tex] = [tex]\pi[/tex] [tex]r^{2}[/tex] x 11 + y
550 x [tex]\frac{7}{22}[/tex] = [tex]\frac{7}{22}[/tex] x 11 x 11 + y
550 x [tex]\frac{7}{22}[/tex] x [tex]\frac{22}{7}[/tex] = 11 x 11 + y
550 = 11 x 11 + y
[tex]\frac{550}{11}[/tex] = [tex]\frac{11}{11}[/tex] x 11 + y
50 = 11 + y
50 - 11 = y
39 = y
Multiply and simplify completely:
(3x + 5) (2x2 – 3x + 2)
Show all work for full credit.
Answer:
[tex](3x + 5)(2 {x}^{2} - 3x + 2) \\ \\ (3x)(2 {x}^{2} - 3x + 2) + (5)(2 {x}^{2} - 3x + 2) \\ \\ 6 {x}^{3} - 9 {x}^{2} + 6x + 10 {x}^{2} - 15x + 10 \\ \\ = 6 {x}^{3} + {x}^{2} - 9x + 10[/tex]
I hope I helped you^_^
Answer:
[tex]6x^3+x^2-9x+10[/tex]
Step-by-step explanation:
[tex](3x+5)(2x^2 - 3x+2)[/tex]
Distribute
[tex]3x(2x^2-3x+2)+5(2x^2-3x+2)[/tex]
Distribute
[tex]6x^3-9x^2+6x+5(2x^2-3x+2)[/tex]
Distribute again
[tex]6x^3-9x^2+6x+10x^2-15x+10[/tex]
Combine like terms
[tex]6x^3+1x^2+6x-15x+10[/tex]
Multiply by 1
[tex]6x^3+x^2+6x-15x+10[/tex]
Combine like terms
[tex]6x^3+x^2-9x+10[/tex]
Combine the like terms to create an equivalent expression for −5j+(−2j)+3
Answer:
-7j + 3
Step-by-step explanation:
Combine like terms:
-5j + (-2j) = -7j
-7j + 3
Answer and Step-by-step explanation:
Simply combine the values together.
-5j - 2j + 3
-7j + 3 is the answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
18
A company is expanding its building area from 16,500 square feet to 22,605 square feet. What is the percentage increase of the
area of the building space?
the answer is 37%
: 16500*37%= 6150
6150+16500=22605 :correct
PLS HELP ASAP GIVE ANSWER RQ
Add 5 to x, double what you have, then subtract 3 from the result and simplify the expression.
a.2x + 10
b.2x + 7
c.x + 7
d.2x – 7
Which represents a unit rate ?
A. The cost of cat food is $36 per 3 bags
B. The cost of orange juice is $3 per jug
C. The cost of photocopies is $1 per 10 pages
D. The cost of roses is $50 per 2 dozen
B. The cost of orange juice is $3 per jug
A unit rate, in terms of mathematics, is a rate per unit.
Examples of unit rates are:
The car travels 25 km per hour
The cost of bags of apples is $6.00 per bag of apples.
The unit rate in these choices is Choice B:
The cost of orange juice is $3 per jug
The other choices are rates, not unit rates.
Use your birthday month and day only, and find the sum and the product and the difference, and quotient.
month is 3 and day is 11
Answer:
sum 14, difference -8, product 33, quotient 3/11
Step-by-step explanation:
Sum: add
3 + 11 = 14
Difference: subtract
3 - 11 = -8
Product: multiply
3 * 11 = 33
and quotient: divide
3 / 11
(we can leave it like this as a fraction)
What is the difference between the sum of 1/2 and 10 and the product of 1/2 and 10?
factorise
[tex]4p {}^{3} q + 12p {}^{2} q {}^{2} + 8pq {}^{3} [/tex]
[tex]4 {p}^{3} q + 12 {p}^{2} {q}^{2} + 8p {q}^{3} \\ = 4pq(p + q)(p + 2q)[/tex]
I hope I helped you^_^
Is 16g + 10 - 4g and 20g + 10 equivalent
93. Let f(x) = 3x - 1 and g(x) = x + 5. Evaluate the following limits. (a) lim x→3 f(g(x)]
(b) lim x→3 g[f(x)]
Answer:
a) 23 and b) 13
Step-by-step explanation:
I. If f(g(x)) is composit function
Find fog and gof
fog = 3(g) - 1
= 3(x+5) -1
= 3x + 15 -1
= 3x + 14
gof = (f) + 5
= (3x - 1) +5
= 3x + 4
II. Fill in a) and b) question
lim x -> 3 fog
= 3(x) + 14
= 3(3) + 14
= 9 + 14
a) = 23
lim x-> 3 gof
= 3x + 4
= 3(3) + 4
= 9 + 4
b) = 13
Got more question or something to discuss, leave comment below
PLEASE HELP ME IM RUNNING LOW ON TIME
Answer:
[tex]1)x = 8 \\ x + y + 2 = 8 + y + 2 = 10 + y \\ 2)x = 9 \\ x + y + 2 = 9 + y + 8 = 17 + y \\ 3)y = 3 \\ x + y + 2 = x + 3 + 2 = x + 5 \\ 4) y = 0 \\ x + y + 2 = x + 0 + 2 = x + 2 \\ 5)x = 6 \: y = 2 \\ x + y + 2 = 6 + 2 + 2 + = 10 \\ thank \: you[/tex]
Only answer number 37.
Step-by-step explanation:
Use the distance formula:
(x2, y2) with (x1, y1)
[tex] d \: = \sqrt{( x2 \: - \: x1) {}^{2} \: + \: (y2 \: - \: y1) {}^{2} } [/tex]
Find the lengths of each segment one at a time.
For AC:
A(-3,8) C(0,2)
[tex]d = \sqrt{( - 3 - 0) {}^{2} + (8 - 2) {}^{2} } [/tex]
[tex]d \: = \sqrt{9 + 36} [/tex]
[tex]d \: = \sqrt{45} = 3 \sqrt{5} [/tex]
For BC:
B(6,5) C(0,2)
[tex]d \: = \sqrt{(6 - 0) ^{2} + (5 - 2) {}^{2} } [/tex]
[tex]d \: = \sqrt{36 + 9} [/tex]
[tex]d \: = \sqrt{45} = 3 \sqrt{5} [/tex]
For CD:
C(0,2) D(2,-4)
[tex]d \: = \sqrt{(0 - 2) {}^{2} + (2 - ( - 4)) {}^{2} } [/tex]
[tex]d \: = \sqrt{4 + 36} [/tex]
[tex]d \: = \sqrt{40} = 2 \sqrt{10} [/tex]
With all the segment lengths found, we can conclude that segments AC and BC have the same lengths.
A commodity was sold for 120.00 at a 20% loss on the cost. What is the price of the merchandise?
Answer:
$150
Step-by-step explanation:
CP = 100/(100 - L%) × SP
CP = 100/(100 - 20) × 120
CP = 100/80 × 120
CP = 5/4 × 120
CP = 5 × 30
CP = $150
What is the slope of the given graph?
Answer:
Looks like it's 1.
Step-by-step explanation:
Since it is a positive slope and it goes up 1 unit, the slope is 1.
what is six over seven times two and three over fourteen?
and seven is equal to six times a number.
Word problems can be tricky no matter what level of math or science you are in.
First look at the question for words that indicate mathematical symbols.
"times" indicates multiplication
"and" indicates addition
"a number" means we have a variable, x, to solve for
Now we can go from left to right and write it in a mathematical equation
7x + 7 = 6x
Then, solve for x
7x + 7 = 6x
7 = 6x - 7x
7 = -1x
7/-1 = x
x = -7
Finally, we check our work.
7x + 7 = 6x
7(-7) + 7 = 6(-7)
-49 + 7 = -42
-42 = -42 √
The answer is x = -7
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Parviz F. answered • 02/11/14
TUTOR
4.8 (4)
Mathematics professor at Community Colleges
SEE TUTORS LIKE THIS
First thing you do in word problems : choose a variable for unknown, what problem is asked you to find.
n the number
7n 7 times the number
7n + 7 7 times the number and 7
Then the problem says it is equal 6n , make the equation
7n + 7 = 6n
and solve:
7n - 6n = -7
n = -7 / is the answer
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KERITHA C. answered • 02/25/18
TUTOR
New to Wyzant
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If 1 is added to seven times a number, the result is equal to 2 more than six times the number. Find the number.
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Rodney S. answered • 02/16/14
TUTOR
5 (3)
Certified Math Teacher (Grades 6 and Up) for Hire
ABOUT THIS TUTOR ›
Seven times a number and seven is equal to six times a number.
Step 1: Translate the verbal to Algebra.
7x + 7 = 6x. ("And" means addition if no other operation is present.)
Step 2: Solve for x.
7x - 6x + 7 = 6x - 6x. (subtract 6x from both sides)
1x + 7 = 0. (Simplify)
1x + 7 - 7 = 0 - 7. (subtract 7 from both sides)
1x = -7. (Simplify)
1x/1 = -7/1. (Divide both sides by 1)
x = -7. (Simplify)
Step 3: Check 7 times the number -7 and 7 is equal to six times the number -7.
7(-7) + 7 = 6(-7)
-49 + 7 = -42
-42 = -42. (Both sides are equal!)
The number again is -7.
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Vivian L. answered • 02/10/14
TUTOR
3 (1)
Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACH
SEE TUTORS LIKE THIS
Hi Alyson;
7x+7=6x
Let's subtract 7x from both sides...
7x+7-7x=6x-7x
7=-x
Let's multiply both sides by -1...
(-1)(7)=(-1)(-x)
-7=x
Let's check our work...
7x+7=6x
[(7)(-7)]+7=(6)(-7)
-49+7=-42
-42=-42
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PLS HELP WILL MARK AS BRAINLIEST
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SEE THE IMAGE FOR SOLUTION .
HAVE A GREAT DAY
Answer:
11. D
12. C
13. D
14. B
15. E
Step-by-step explanation:
11.
1/3 + 1/2 = 2/6 + 3/6 = 5/6
A is 3/4
B is 2/3
C is 9/10
D is 4/5
E is 2/5
the closest to 5/6 is 4/5.
12.
this is totally easy. just simply additions and one subtraction (to see what is left).
8+10+9 = 27
so, he has
60 - 27 = 33 hours left
13.
the mean value of a series of equal weighted numbers is simply their sum divided by the amount of numbers.
so,
(2+5+3+6+4)/5 = 20/5 = 4
14.
a scale factor is always applied to all dimensions, otherwise the result will be distorted. and that would be especially bad for a map.
so, clearly the width of the larger map is 3 times the width of the smaller map. therefore, the length of the larger map has to be also 3 fine the length of the smaller map.
3×6 = 18
15.
3t - 10 = 8
3t = 18
t = 6
express each of the following in standard form 0.000000000221
Answer:
[tex]2.21 \times {10}^{ - 10} [/tex]
Step-by-step explanation:
When we shift (.) from left to right in scientific notarion, the power of 10 varies in negative numbers according to how many numbers we shift.
note that one movable point always defines an extremum point
Answer:
And
Step-by-step explanation:
Noted Sir. Thanks A Lot 2 U
what is the constant of the proportionality in the equation y = 7x
Answer:
7
Step-by-step explanation:
The equation of direction variation is
y = kx where k is the constant of variation
y = 7x so 7 is the constant of variation
Answer:
7
Step-by-step explanation:
The equation of direction variation:-
y = kx where k is the constant of variation -> Eq 1
y = 7x -> Eq 2
Comparing Eq 1 and Eq 2,
k=7