Since these are one-step equations we only have one step.
To solve, these single steps will include the following:
[1] addition (+)
[1] subtraction (-)
[2] division (/ or ÷)
[2] multiplication (* or x)
How do we answer these? We do the opposite of what is shown. If we have addition in 4 + x = 6, we will use subtraction to solve. The numbers one (1) and two (2) above show the "sets" of which we use.
[] 3x = -12
-> -4
We have multiplication so we will divide -12 by 3 for an answer of -4
[] 14x = 280
-> 20
We have multiplication so we will divide 280 by 14 for an answer of 20
[] x + 6 = -5
-> -11
We have addition so we will subtract 6 from -5 for an answer of -11
[] x + 27 = 125
-> 98
We have addition so we will subtract 27 from 125 for an answer of 98
[] x - 324 = 760
-> 1,084
We have subtraction so we will add 324 to 760 for an answer of 1,084
[] x - 43 = 35
-> 78
We have subtraction so we will add 43 to 35 for an answer of 78
[] x/6 = -24
-> -144
We have division so we will multiply 6 by -24 for an answer of -144
[] x/13=214
-> 2,782
We have division so we will multiply 13 by 214 for an answer of 2,782
[] 26 - x = 47
-> -21
We have subtraction so we will add x to both sides to reach the equation 26 = 47 + x
Then, we have addition so we will subtract 47 from 26 to get an answer of -21
[] -x/3=-998
-> 2,994
First, we will move the negative to the bottom of the fraction, which looks like this: [tex]\frac{-x}{3} = \frac{x}{-3}[/tex]
Then, we have division so we will multiply -3 by -998 for an answer of 2,994
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
A 14 cm cube is built from small cubes, each 2 cm on an edge. Compare the edge lengths of the two cubes.
9:1
7:1
8:1
10:1
Answer:
7:1
Step-by-step explanation:
There are two cubes, one with 14 cm and one with 2 cm. 14:2 is equal to 7:1.
Help me I don’t know if it -7 and -12
Answer:
I think it's-12
I am not sure
Please ask to some one else please
YURRRRRRRRRRRRRRRR
[tex]4 \div 0.25[/tex]
Answer:
16
4
[tex]4 \div ( \frac{25}{100}) = 400 \div 25 = 16 [/tex]
The Royal Fruit Company produces two types of fruit drinks. The first type is 80% pure fruit juice, and the second type is 100% pure fruit juice. The company is attempting to produce a fruit drink that contains 95% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 220 pints of a mixture that is 95% pure fruit juice?
Answer:
55 from un-pure and 165 from pure
Step-by-step explanation:
to get 220 pints with 95% purity you need a mixture of 209 parts to 11 parts (220 *0.95 and 220 * 0.05)
we call the un-pure mixture a and the pure mixture b
all un-pure parts come from a and b in the following ratios
11 = 0.2a + 0b (each pint of mixture a adds 0.2 pints of unpure stuff and each pint of b adds no unpure stuff)
which we can then solve as:
a = 55
all pure parts come from a and b in the following rations
209 = 0.8a + 1b (each pint of mixture a adds 0.8 pints of pure stuff and each pint of b adds a full pint of the pure stuff)
now we can replace a with 55 (from above)
209 = 44 + b, and solve to
b = 165
now to double check
55 * (0.8x + 0.2y) + 165x would give you
44x + 11y + 165x, which is
11x + 209y and if you then check the ratio
209 / (209+11) = 0.95 again
There will be 55 pints and of un-pure and 165 pints of pure fruit drinks.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
To get 220 pints with 95% purity you need a mixture of 209 parts to 11 parts (220 *0.95 and 220 * 0.05)
We call the un-pure mixture a and the pure mixture b
All un-pure parts come from a and b in the following ratios
11 = 0.2a + 0b (each pint of mixture a adds 0.2 pints of unpure stuff and each pint of b adds no unpure stuff)
which we can then solve as:
a = 55
All pure parts come from a and b in the following rations.
209 = 0.8a + 1b (each pint of mixture a adds 0.8 pints of pure stuff and each pint of b adds a full pint of the pure stuff)
Now we can replace a with 55 (from above)
209 = 44 + b, and solve to
b = 165
Now to double check
55 x (0.8x + 0.2y) + 165x would give you
44x + 11y + 165x, which is
11x + 209y and if you then check the ratio
209 / (209+11) = 0.95
Therefore, there will be 55 pints of unpure and 165 pints of pure fruit drinks.
To know more about an expression follow
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Graph y=2x+5 on the plane
Answer:
Incorrect
Step-by-step explanation:
for your slope go down two to the right one
One pentagon weighs how much
Answer:
11
Step-by-step explanation:
Use the picture below to answer the question. The measure of angle 3 is 50 degrees. What is the measure of angle 6?
Gloria has some dimes and quarters. If she has 18 coins worth a total of $2.25, how many of each type of coin does she have?
Answer:
10 Dimes and 5 Quarter
Step-by-step explanation:
Important info:
18 Coins worth a total of $2.25
Note:
Dimes = .10
Quarter = .25
10 Dimes = 1.00
4 Quarter = 1.00
Question to Answer:
How many each type of Coin does she have?
Solution:
Lets get rid of .25 in $2.25 :)
So that 1 Quarter..
2.00
Takes away 1.00 = 10 Dimes
Now we have 1 Quarter and 10 Dimes.
1.00 Left..
4 Quarter = 1.00
So now we have 5 Quarter and 10 Dimes..
Check Work:
5 Quarter = 1.25 and 10 Dimes = 1.00
1.25+1.00=
$2.25
Hence. Gloria has 5 Quarter and 10 Dimes.
{ Couldn't figure out 18 Coins worth a total of $2.25 the closest I could get was 15 Coins worth a total of $2.25}
→[RevyBreeze]←
Help...? Thanks! No links
Answer: C) Move it 3 places to the left
Explanation:
We're dividing the number [tex]34.62[/tex] by [tex]10^3[/tex], which is the same as dividing by 1000.
The exponent 3 tells us how many spots to move the decimal point. We move to the left because the number gets smaller. If we multiplied by [tex]10^3[/tex], then we'd move the decimal point 3 spots to the right.
So, [tex]34.62 \div 10^3 = 34.62 \div 1000 = 0.03462[/tex]
Write the equation of a line that goes through the points (-5,6) and (10,-6). The final answer should be in Slope Intercept Form.
Answer:
y=-4/5x+2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-6-6)/(10-(-5))
m=-12/(10+5)
m=-12/15
simplify
m=-4/5
y-y1=m(x-x1)
y-6=-4/5(x-(-5))
y-6=-4/5(x+5)
y=-4/5x-20/5+6
y=-4/5x-4+6
y=-4/5x+2
what is the answer to this problem ( 1/5)² (3+2+5²)
Give a summary of the lesson what you have learned. about EXPONENTS!!
please help me :)
ty ty
Answer:
The slope is steeper and the line is shifted flatter.
Step-by-step explanation:
I have provided a graph to help illustrate the relationship between these two lines, (The red line is line A which is y = 2x + 4, and the blue line is line B which is y = 4x + 9).
As you can see, the slope does determine the steepness of the lines. This means that line A's slope is going up 2 units and over to the right 1 unit, whereas line B's slope is going up 4 units and to the right 1.
Therefore, if line A is to transform into line B, then its slope will be steeper.
Hope this helps you :)
Also, P.S. I don't know if there are supposed to be more options, so I apologize if flatter does not belong in the second box.
Why is education important is it experimental or observational
Answer:
it is experimental
Step-by-step explanation:
okay
The instructions for a fruit drink say to mix one part blackcurrant juice with four parts water. I
want to make one litre of this fruit drink. How much blackcurrant juice should I use? Give your
answer in millilitres.
ml
Answer:
you should use minimum 8 black cur
i need help with this math question
Answer:
D. f(x) = -6x^3 -5x^2 +21x
Step-by-step explanation:
The given zeros mean the function has factors ...
(x -(-7/3))(x -3/2)(x -0)
Multiplying by 6, we can write this as ...
(3x +7)(2x -3)(x) = 6x^3 +5x^2 -21x
And multiplying by -1 gives ...
-6x^3 -5x^2 +21x . . . . . matches choice D
__
Additional comment
The product of factors will be zero when f(x) = 0. This means we can multiply or divide by any convenient factor and the product will remain zero. Effectively, we have multiplied our original factorization by -6 to make the expression match one of the given forms. When we write this final expression as the function f(x), it remains true that the given zeros are zeros (x-intercepts) of f(x).
Josephine is looking for a new job as a plumber. She responds to a classified ad for a position that pays 54K. What would her weekly salary be to the nearest cent if she gets this job? A. $855.77 B. $1,038.46 C. 1,125.00 D. $1,057.69
Based on the information given, it should be noted that her weekly salary will be B. $1,038.46.
It should be noted that there are 52 weeks in one year.
Based on the information given, the annual salary is given as 54000.
Therefore, the weekly salary will be:
= Annual salary / Number of weeks.
= 54000 / 52
= $1038.46
Her weekly salary is $1038.46.
Learn more about division on:
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I need help solving for X
1.5x - 4 > 2
Answer:
x<4
Step-by-step explanation:
Y=-2(x+1)(x+3) convert the function into standard form
−2x^2−8x−6
Expand (−2x-2)(x+3) using the FOIL Method.−2x⋅x−2x⋅3−2x−2⋅3
2.
In a box of 80 glasses, 3 are broken.
Work out the percentage of broken glasses in the box.
Answer: the answer is 3.7%
Step-by-step explanation:
We know there’s total 80 glasses and if 3 are broken we can represent it in a fraction which is 3/80
3/80=0.0375
to find percentage take 0.0375 and multiply it by 10 to get 3.7
therefor the answer is 3.7%
please help ! 20 pts please
The given ratios expresses the number of time a value is larger or smaller
than another value.
The correct responses are;
3. (B) 12 and 244. (D) 6, 9, 215. [tex]\underline{(E) \ \displaystyle \frac{11}{2}}[/tex]6. [tex]\underline{(E) \ \displaystyle \frac{5}{14}}[/tex]7. (B) [tex]\overline{EF}[/tex] = 6, [tex]\overline{AC}[/tex] = 9·√58. (C) The values are equal9. (A) The value in column A is greaterReasons:
3. Given that the perimeter of the rectangle = 72
The ratio of the lengths of the sides = 1:2
Let a and b represent the sides, we have;
2·a + 2·b = 72
[tex]\displaystyle \frac{a}{b} = \mathbf{\frac{1}{2}}[/tex]
Which gives;
2·a = b
2·a + 2·(2·a) = 72
6·a = 72
a = 72 ÷ 6 = 12
b = 2·a = 2 × 12 = 24
The lengths of the sides are; (B) 12 and 24
4. Extended ratio = 2:3:7
The perimeter = 36
The lengths of the sides are;
[tex]\displaystyle \frac{2}{2 + 3 + 7} \times 36 = \mathbf{6}[/tex]
[tex]\displaystyle \frac{3}{2 + 3 + 7} \times 36 = \mathbf{9}[/tex]
[tex]\displaystyle \frac{7}{2 + 3 + 7} \times 36 = \mathbf{21}[/tex]
The lengths are; (D) 6, 9, 21
5. The given equation is presented as follows;
[tex]\displaystyle \frac{5}{x + 7} = \mathbf{\frac{3}{x + 2}}[/tex]
5 × (x + 2) = 3 × (x + 7)
5·x + 10 = 3·x + 21
5·x - 3·x = 21 - 10
2·x = 11
[tex]\displaystyle x = \mathbf{ \frac{11}{2}}[/tex]
The correct option is; [tex]\displaystyle \underline{(E) \ \frac{11}{2}}[/tex]
6. The width to length ratio is [tex]\displaystyle \mathbf{\frac{2.5}{7.0}}[/tex]
The simplified ratio is therefore;
[tex]\displaystyle \frac{2.5}{7.0} = \frac{2 \times 2.5}{2 \times 7.0} = \mathbf{\frac{5}{14}}[/tex]
The correct option is (E) [tex]\displaystyle \underline{(E) \ \frac{5}{14}}[/tex]
7. The given ratio of the lengths is 3:1
Therefore;
[tex]\overline{BC}[/tex]:[tex]\overline{EF}[/tex] = 3:1
Which gives;
[tex]\displaystyle \mathbf{\frac{\overline{BC}}{\overline{EF}}} = \frac{3}{1}[/tex]
[tex]\overline{BC}[/tex] = 18
Therefore;
[tex]\displaystyle \frac{18}{\overline{EF}} = \frac{3}{1}[/tex]
18 × 1 = 3 × [tex]\overline{EF}[/tex]
[tex]\displaystyle \overline{EF} = \frac{18 \times 1}{3} = 6[/tex]
[tex]\overline{EF}[/tex] = 6
By Pythagorean theorem, we have;
[tex]\overline{DF}[/tex]² = [tex]\mathbf{\overline{DE}}[/tex]² + [tex]\mathbf{\overline{EF}}[/tex]²
Which gives;
[tex]\overline{DF}[/tex]² = 3² + 6² = 45
[tex]\overline{DF}[/tex] = √(45) = 3·√5
Using the given ratio, we have;
[tex]\overline{AC}[/tex] = 3 × [tex]\mathbf{\overline{DF}}[/tex]
Which gives;
[tex]\overline{AC}[/tex] = 3 × 3·√5 = 9·√5
[tex]\overline{AC}[/tex] = 9·√5
The correct option is; (B) [tex]\overline{EF}[/tex] = 6, [tex]\overline{AC}[/tex] = 9·√5
8. EF = 1, AB = 2
CD = 2, CE = 4
Therefore;
[tex]\displaystyle \mathbf{\frac{EF}{AB}} =\frac{1}{2}[/tex]
[tex]\displaystyle \mathbf{\frac{CD}{CE}} =\frac{2}{4} = \frac{1}{2}[/tex]
Which gives;
[tex]\displaystyle \frac{EF}{AB} =\displaystyle \mathbf{\frac{CD}{CE}}[/tex]
(C) The values are equal
9. AC = 6, BE = 8
DF = 3, BD = 6
Column A
[tex]\displaystyle \frac{AC}{BE} =\displaystyle \mathbf{\frac{6}{8}} = \frac{3}{4}[/tex]
Column B
[tex]\displaystyle \frac{DF}{BD} =\displaystyle \mathbf{\frac{3}{6}} = \frac{1}{2}[/tex]
[tex]\displaystyle \frac{3}{4} > \mathbf{\frac{1}{2}}[/tex]
Therefore;
Column A is greater than column B
(A) The value in column A is greater
Learn more about ratios here:
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I need help bad with this equation
don't quote me on this but I'm pretty sure it's H multiplication property of inequality
9/5 - (-2 7/10) and write it as a fraction and simplest form
Answer:
probably 4.5 if im not mistaking
Answer:
4 1/2
Step-by-step explanation:
(-2 7/10) = (-2.7)
9/5 = 1.8
1.8 - (-2.7)
= 1.8 + 2.7
= 4.5 or 4 1/2
4.3-3 (4r-3)=0.7 (6r-10)
4.3-3(4r-3(=0.7(6r-10
We move all terms to the left:
4.3-3(4r-3(-(0.7(6r-10)=0
Please help
Is (6, 3) a solution to this system of inequalities?
x + 3y ≥ 15
10x + 3y > 3
Answer:
Graph both inequalities and see if the point lies in the overlapping shaded region.
Step-by-step explanation:
Please help. 0=25x^2 + 80x + 68
what is 1/5 times 5/6 use a fraction modelto to help you solve.
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
Find f(-2) for f(x) = 3.2%
Answer:
f(-2)= -12Step-by-step explanation:f(-2)= 3*2(-2)f(-2)= 3*(-4)f(-2)= -12.
Step-by-step explanation:
Is this sample of the coins likely to be representative?
Answer: yes
Step-by-step explanation:
Solve for a.
a+(−1.2)=−5.5
Enter your answer in the box.
a =
Answer:
-4.3
Step-by-step explanation:
a+(-1.2)= -5.5
a-1.2=-5.5
add 1.2 to both sides
a-1.2+1.2= - 5.5+1.2
simplify
a= - 4.3
Answer:
a=-4.3
Why?:
You would have to keep the answer negative, this is because if it were to be positive it would make the negative decrease.
You could easily get a line paper and line up-
-4.3
+ -1.2
_______
-5.5
-5.5-(-1.2) would make the equation end up like -5.5+1.2, and -5.5+1.2=-4.3
Therefore,
a=-4.3