Answer:
2.0x-8.3y+2.3Step-by-step explanation:
Give the expression 3.7 x + (0.5-6y)+0.8-(1.7x+1-2.3y), to get the equivalent expression we will follow thw steps;
open the parenthesis
3.7 x + 0.5-6y+0.8-1.7x+1-2.3y
collect like terms
= 3.7 x -1.7x -6y-2.3y+0.5+0.8+1
= 2.0x-8.3y+1.3+1
= 2.0x-8.3y+2.3
Hence the equivalent expression is 2.0x-8.3y+2.3
x/6 =8 [tex]x\5frac{x}{y} =8[/tex]
Steps to solve:
x/6 = 8
~Simplify
1/6x = 8
~Multiply 6 to both sides
x = 48
Best of Luck!
A jar contains 7 blue marbles, 3 red marbles, and 3 green marbles. You pick one marble without looking. What is the probability that the marble will be red? Answer as a fraction in the simplest form.
Answer:
7/13
Step-by-step explanation:
there are 13 marbles altogether and there is blue marbles the most
Translate and solve into an algebraic expression.
The product of b and -25 is 175
Answer:
- 25b = 175
Step-by-step explanation:
Since, The product of b and -25 is 175.
[tex] \therefore \: b \times ( - 25) = 175 \\ \huge \purple{\therefore \: - 25b = 175}[/tex]
Answer:
-25b = 175
b=-7
I hope this the correct answer
Step-by-step explanation:
The expression would -25b=175
divide -25 on both sides 175/-25 = -7
ew.pat
100%
Aubrey is saving up to buy a new jacket. She already has $85 and can save an
additional $7 per week using money from her after school job. How much total
money would Aubrey have after 8 weeks of saving? Also, write an expression that
represents the amount of money Aubrey would have saved in w weeks.
I
Aubrey can save $7 per week, so she can save $7 x 8 or $56
in 8 weeks. Because she already had $85 to begin with, the
total amount saved would be $56 + $85 or $141.
Answer:
[tex]Total\ Savings = 85 + 7 w[/tex] --- In w weeks
[tex]Total\ Savings = \$141[/tex] --- In 8 weeks
Step-by-step explanation:
Given
[tex]Available\ Amount = \$85[/tex]
[tex]Weekly\ Savings = \$7[/tex]
[tex]Number\ of\ weeks = 8[/tex]
Required
Determine the amount of savings in w weeks
This can be calculated as thus:
[tex]Total\ Savings = Available\ Amount + Weekly\ Savings * Number\ of\ weeks[/tex]
In this case;
w = Number of weeks
So, we have:
[tex]Total\ Savings = 85 + 7 * w[/tex]
[tex]Total\ Savings = 85 + 7 w[/tex]
When w = 8, we have
[tex]Total\ Savings = 85 + 7 * 8[/tex]
[tex]Total\ Savings = 85 + 56[/tex]
[tex]Total\ Savings = \$141[/tex]
What is the result when the number 66 is decreased by 8.3%?
Answer:
.........it equals 60.52200
Four times the smallest of three consecutive integers is three more than three times the largest. What is the middle integer?
Let, first integer is x.
Therefore, other two are x+1 , x+2 .
Now, mathematical expression of given conditions is :
4x + 3 = 3(x+2)
4x + 3 = 3x + 6
x = 3.
So, the consecutive numbers are 3 , 4 and 5.
Therefore, the middle integer is 4.
Hence, this is the required solution.
Solve the equation.
2 ( 4z - 1) = 3(z+2)
Z=
Answer:
[tex]z = \frac{8}{5}[/tex]
Step-by-step explanation:
Calculate for the value of [tex]z[/tex] :
[tex]2(4z - 1) = 3(z + 2)[/tex]
-Use Distributive Property on both left and right:
[tex]2(4z - 1) = 3(z + 2)[/tex]
[tex]8z - 2 = 3z + 6[/tex]
-Take [tex]3z[/tex] and subtract [tex]8z[/tex] :
[tex]8z - 3z - 2 = 3z - 3z + 6[/tex]
[tex]5z - 2 = 6[/tex]
-Add [tex]2[/tex] to both sides:
[tex]5z - 2 + 2 = 6 + 2[/tex]
[tex]5z = 8[/tex]
-Take [tex]5z[/tex] and divide on both sides:
[tex]\frac{5z}{5} = \frac{8}{5}[/tex]
[tex]z = \frac{8}{5}[/tex]
Therefore, the value of [tex]z[/tex] is [tex]\frac{8}{5}[/tex].
The solution to the given equation is [tex]z = \frac{8}{5} \ or \ 1\frac{3}{5}[/tex]
The given equation is 2( 4z - 1) = 3(z+2).
To solve the given equation means we should determine the value of the variable z.
To solve this, we will first clear the brackets
[tex]2(4z - 1) = 3(z+2)[/tex]
Clearing the brackets
[tex]8z - 2 = 3z + 6[/tex]
Now, collect like terms
[tex]8z - 3z = 6 + 2[/tex]
Then,
[tex]5z = 8[/tex]
Now divide both sides by 5
[tex]\frac{5z}{5} = \frac{8}{5}[/tex]
∴ [tex]z = \frac{8}{5} \ or \ 1\frac{3}{5}[/tex]
Hence, the solution to the given equation is [tex]z = \frac{8}{5} \ or \ 1\frac{3}{5}[/tex]
Learn more here: https://brainly.com/question/24546213
Which quantity is proportional to 18⁄6?
Check all that are true.
36⁄12
90⁄18
72⁄24
54⁄6
3⁄1
Answer:
36/12, 72/24, and 3/1.
Step-by-step explanation:
When simplified, 18/6 is 3/1, so those are the answers because they can all be simplified to 3/1 too.
Answer:
its 36/12
Step-by-step explanation:
18 is 3x 6 and 36 is 3x 12
are these both answers same
Answer:
no
Step-by-step explanation:
beacuse the power of a odd no. will get the sign of negative not positive
Answer:
(1/2)^5 =1/2^5
Step-by-step explanation:
(1/2)^5 =1^5/2^5 =1/2^5
1^5 =1
2^5 =32
so uh who knows this??!
Answer:
Your answer is going to be d
Step-by-step explanation:
Add up the angles you already have and subtract that sum from 180
180 - 133 = 47
Answer:
D
Step-by-step explanation:
39+94=133
180-133=47
Solve the following equation: 6x - 3x + 13 = 7 + 9x - 6
Answer:
x = 2
Step-by-step explanation:
Answer: 2
Step-by-step explanation:
A rectangle that is 4 inches by 6 inches has been scaled by a factor of 7 . What are the side lengths of the scaled copy ?
Step-by-step explanation:
step one:
The question is incomplete it did not specify weather the scale was a reduction or an increase in the dimension of the rectangle.
step two:
let us assume it was to be an increase i.e 7x
the length would be 4*7= 28 inches
the width would be 6*7= 42 inches
step three:
Also, we assume it was to a decrease i.e 7x
the length would be 4/7= 0.57 inches
the width would be 6/7= 0.85 inches
7.6g of sugar is needed for every cake made. How much sugar is needed for 10 cakes?
Step-by-step explanation:
just multiply 7.6g times 10
Find the sum (9r2+4r-7)+(3r2-3r)
Answer:
12r^2 +r-7
Step-by-step explanation:
What is the solution to -3m = -15
Answer:
[tex]m=5[/tex]
Step-by-step explanation:
[tex]-3m=-15[/tex]
Divide both sides by -3:
[tex]\frac{-3m}{-3}=\frac{-15}{-3}[/tex]
[tex]m=5[/tex]
Answer:
[tex]m = 5[/tex]
Step-by-step explanation:
Solve for [tex]m[/tex] :
[tex]-3m = -15[/tex]
-Take [tex]-3m[/tex] and divide it on both sides of the equation:
[tex]\frac{-3m}{-3} = \frac{-15}{-3}[/tex]
[tex]m = 5[/tex]
Therefore, the value of [tex]m[/tex] is [tex]5[/tex].
answer this equation-3x+2<8
Answer:
x > -2
Step-by-step explanation:
-3x+2<8
Subtract 2 from each side
-3x+2-2<8-2
-3x<6
Divide each side by -3, remembering to flip the inequality
-3x/-3 > 6/-3
x > -2
Hey there!☺
[tex]Answer:\boxed{x>-2}[/tex]
[tex]Explanation:[/tex]
[tex]-3x+2<8[/tex]
Let's subtract 2 from both sides of the inequality.
[tex]-3x+2-2<8-2\\-3x<6[/tex]
Now divide both sides by -3.
[tex]\frac{-3x}{-3}<\frac{6}{-3}[/tex]
Simplify 6/-3. Also remember that dividing a positive with a negative will give us a negative.
[tex]6/-3=-2[/tex]
[tex]x>-2[/tex]
Hope this helps!
There are 12p calories in a 3/4 cup serving of cereal. How many Calories are there in 6 cups of cereal?
Answer:
960 calories in 6 cups of cereal
Step-by-step explanation:
Answer:96
Step-by-step explanation:
16 is in the 4/4 and 16 x 6 is 96
According to a newspaper report, A 63 year old man has rowed around the world without leaving his living room. He clocked up 24084 miles on a rowing machine that he recieved for his 50th birthday. Roughly how many miles per year has he rowed since he was given the machine?
A) 200
B) 500
C) 1000
D) 2000
E) 4000
(can i get it with the full working out please)
The number of miles per year that he has rowed since he was given the machine will be Roughly 2000. Then the correct option is D.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A 63-year-old man has rowed around the world in his living room, according to a newspaper story. On a rowing machine that he received for his 50th birthday, he logged 24084 miles.
The number of miles per year is calculated as,
⇒ 24,084 / (63 - 50)
⇒ 24,084 / 13
⇒ 1852.61 ≈ 2,000
The number of miles per year that he has rowed since he was given the machine will be Roughly 2000. Then the correct option is D.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Jenna's retirement party will cost $9 if she invites 3 guests. If there are 5 guests, how much will Jenna's retirement party cost? Assume the relationship is directly proportional.
Answer:
$15
Step-by-step explanation:
3 guest = $9 (9/3 = 3 so each guest is $3)
so
5 guest = $15 (3 x 5 = 15)
Can somebody help me wit this
Jasmine spends exactly £120 on three types of plants: poisoned ivy, deadly nightshade and triffids. Poisoned ivy plants cost £2 each, deadly nightshade plants cost £9 each and triffids cost £12 each. She buys twenty plants in total, including at least one of each type. How many triffids did she buy?
Answer:
9/5
Step-by-step explanation:
2×9×12=216 so216/120 =9/5
Jasmine bought approximately 4 triffids.
We have,
We know that Jasmine bought a total of twenty plants and that she purchased at least one of each type.
Let's assume she bought x triffids.
From the given information, we can determine the number of poison ivy plants and deadly nightshade plants she bought:
Number of poisoned ivy plants = Total plants - (Number of deadly nightshade plants + Number of triffids)
Number of poisoned ivy plants = 20 - (1 + x) = 19 - x
Number of deadly nightshade plants = Total plants - (Number of poisoned ivy plants + Number of triffids)
Number of deadly nightshade plants = 20 - (1 + (19 - x)) = 20 - (20 - x) = x
We can now set up an equation based on the total amount Jasmine spent:
Total cost = (Number of poisoned ivy plants * Cost per poisoned ivy plant) + (Number of deadly nightshade plants * Cost per deadly nightshade plant) + (Number of triffids * Cost per triffid)
£120 = (19 - x) * £2 + x * £9 + x * £12
Simplifying the equation:
£120 = £38 - £2x + £9x + £12x
£120 = £38 + £19x
£82 = £19x
Dividing both sides of the equation by £19:
£82/£19 = x
x ≈ 4.32
Since we can't have a fractional number of plants, we'll round down to the nearest whole number.
Therefore,
Jasmine bought approximately 4 triffids.
Learn more about expressions here:
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The complete question:
Jasmine spent a total of £120 on buying three types of plants: poisoned ivy, deadly nightshade, and triffids. Poisoned ivy plants cost £2 each, deadly nightshade plants cost £9 each, and triffids cost £12 each. She bought a total of twenty plants, ensuring that she purchased at least one of each type.
How many triffids did Jasmine buy?
n-2÷7=2 ANSWER IT 50 POINTS
Answer:
5.5
Step-by-step explanation:
n-2÷7=2
n-3.5=2
n=2+3.5
n=5.5
Answer:
n = 16 ≅ 2.29
7
Step-by-step explanation:
n - 2 ÷ 7 = 2
n - 2 = 14
n = 14 + 2
7 7
n = 16
7
In a social club, the ratio of men to women is 5: 7. There are 595 women. How
many men are there?
Answer:
52
you take 5 ÷ it by 7 the ×it by 595
A ratio is an ordered pair of numbers a and b written as a/b where b is not equal to zero.
if the number of women in the social club is 595 then the number of men in the social club is 425.
What are ratios and proportions?A ratio is an ordered pair of numbers a and b written as:
a / b where b does not equal 0.
A proportion is an equation in which two ratios are equal to each other.
We have,
The ratio of men to women:
= 5:7
= 5/7
Let,
The number of men = 5x
The number of women = 7x
Now,
If the number of women = 595
We have,
7x = 595
Multiplying both sides by 5/7 we get,
5/7 x (7x) = 5/7 x 595
5x = 5/7 x 595
5x = 5 x 85
5x = 425
This means if there are 435 men in the social club if the number of women is 595.
Thus if the number of women in the social club is 595 then the number of men in the social club is 425.
Learn more about ratios and proportions here:
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Find the coordinates of the midpoint of a segment with the endpoints (2,8) and (8,0).
Answer:
[tex]MP= (5,4)[/tex]
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )[/tex]
[tex]MP= (\frac{2+8}{2} )(\frac{8+0}{2} )[/tex] 2+8=10 8+0=8
[tex]MP= (\frac{10}{2} )(\frac{8}{2})[/tex] 10/2=5 8/2=4
[tex]MP= (5,4)[/tex]
(D2+6d+9)+(d3-6d+9)
which set of angles shares rayAF as a common side?
What is 5 2/8- 3 1/16= ?
Answer:
2 and 3/16
Step-by-step explanation:
2/8-1/16 is 3/16
5-3=2
Answer:
35/16 2.1875
Subtract.
5 2/8- 3 1/16 = 2.1875 (35/16 as fraction)
That is the answer.
screen shot below evaluating functions please help
Answer: I believe the answer is 5.
Step-by-step explanation:
f(1) = -(-1)^2 -4(-1)
f(1) = 1^2 + 4
f(1) = 1 + 4
f(1) = 5
Hope this helps!
0.7+y=−1.34 please and thank you
Answer:
0.64
Step-by-step explanation:
1) Subtract 0.7 from 1.34 and you will get 0.64
Hope this helps!
3/8=r+2/3 what is r=?
Answer:
[tex]\frac{-7}{24}[/tex]=r
Step-by-step explanation:
3÷8=r+2÷3
[tex]\frac{3}{8}[/tex]=r+[tex]\frac{2}{3}[/tex]
[tex]\frac{3}{8}[/tex]-[tex]\frac{2}{3}[/tex]=r
(make the denominators same)(LCM of 8 and 3=24)
[tex]\frac{3}{8}[/tex]([tex]\frac{3}{3}[/tex])+[tex]\frac{2}{3}[/tex]([tex]\frac{8}{8}[/tex])=r
[tex]\frac{9}{24}[/tex]-[tex]\frac{16}{24}[/tex]=r
[tex]\frac{9-16}{24}[/tex]=r
[tex]\frac{-7}{24}[/tex]=r