Answer:
I will answer in English:
We first have a rational number, the quotient between 2 positive integer numbers is 0.57....
And we want to find which number we should add in order to get 1.
Then we have:
A/B = 0.5757...
So if we have:
x = 0.5757....
we have two periodic decimals, then we multiply by 100 (the number of zeros is equal to the number of periodic decimals)
100*x = 57.575757
Now we subtract the original number:
100*x - x = 99*x = 57.575757... - 0.5757 = 57.
Then we have:
99*0.5757... = 57
0.575757... = 57/99
Now that we know the original fraction, if we want to find a fraction such that:
0.57... + a/b = 1
57/99 + a/b = 1
we should use the same denominator in both fractions:
b = 99
57/99 + a/99 = 1
57 + a = 99
a = 99 - 57 = 42
Then the fraction is 42/99
Find the least common denominator between the two factions. 1/2 and 5/6 2 6 8 12
Joseph is making kebabs.He wants each kebab to have 3 pieces of meat and 4 pieces of vegetable. Which of the following could Joseph use to make kebabs without any leftovers?
c, d, and e. My assignments gave me 3 answers.
Solve & Justify: 3(5x + 2) = 2(3x - 6)
Answer:
-2
Step-by-step explanation:
15x+6=6x-12
15x-6x=-12-6
9x=-18
x=-2
the male elephant at the city zoo weigh 8,000 pound, which is the same as 4 tons. the female elephant weigh 7,000 pounds. how many tons does she weigh?
Answer:
3.5 tons
Step-by-step explanation:
Divide the pounds for the male by the amount of tons it is.
8000/4 = 2000
This is how many pounds are in one ton. Divide the weight of the female by this.
7000/2000 = 3.5
The female weighs 3.5 tons.
Camden is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 5 points. What would be Camden's test score (out of 50) if he got 2 questions wrong? What would be his score if he got xx questions wrong?
Answer:
40 points
Step-by-step explanations
divide 50 by 5 to get the number of answers
you get 10 answers so then you subtract 2 and get 8
times that by 5 and you get the answer 40
What is the median of the set of values? 6, 8, 10, 4, 8, 2, 12 A. 4 B. 6 C. 7 D. 8
Answer:
8
Step-by-step explanation:
Remember median is the middle. What you have to do is put them in oder from least to greatest. Then go from the left to right and cross one out until you get to the midde.
A scientist need 10 L of a 20% acid solution for an experiment where she had only a 5% solution and a 40% solution to the nearest 10th of a liter about how many liters of the 5% in the 40% solution should she miss to get the solution she needs
Answer:
Amount of 5% solution = 5.7 Litres
Amount of 40% solution = 4.3 Litres
Step-by-step explanation:
First, of all, let x be the amount of 5% solution used
Since, the scientist needs 10 L of solution, then;
Let 10 - x be the amount of 40% solution used
Now, we are told that she needs 10 L of a 20% acid solution.
This means that;
5%x + 40%(10 - x) = 20%(10).
Simplifying this gives;
0.05x + 0.40(10 - x) = 0.20 × 10
Expanding the bracket gives;
0.05x + 4 - 0.4x = 2
0.4x - 0.05x = 4 - 2
0.35x = 2
x = 2/0.35
x ≈ 5.7 litres
Thus, she will need to mix 5.7 liters of the 5% solution.
Since 10 - x be the amount of 40% solution used , then;
the amount of 40% solution = 10 - 5.7 = 4.3 litres
does the value of an expression mean the answer?
Answer:
The value of a mathematical expression is the result of the computation described by this expression when the variables and constants in it are assigned values. The value of a function, given the value(s) assigned to its argument(s), is the value assumed by the function for these argument values.
Step-by-step explanation:
Yes, the value of an expression does mean the answer.
The value of an expression is a variable that is assigned to a number.
Lets say we have 3n + 2 = 10.
"n" is the variable and we need to find the value of it.
In that kind of question, that is the answer for an expression.
But there are cases where we have the value and we need to solve with it. Then, the value would not be the answer.
Best of Luck!
What is the value of n in the equation: 8n + 9 = -n +5
Answer:
n = -4/9
Step-by-step explanation:
8n + 9 = -n +5
Add n to each side
8n+n + 9 = -n+n +5
9n +9 = 5
Subtract 9 from each side
9n+9 - 9 = 5-9
9n /9 = -4/9
Divide each side by 9
n = -4/9
29+16x13 455 585 58237
Answer:
237
Step-by-step explanation:
29 + 16 * 13
= 29 + 208
= 237
What is -3 divided by -2/5?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{7.5}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 3 \div \frac{ - 2}{5} }[/tex]
If any number or fraction is divided by a fraction , we multiply the dividend by the reciprocal of the divisor
⇒[tex] \sf{ \frac{ - 3}{1} \times \frac{5}{ - 2} }[/tex]
To multiply one fraction by another , multiply the numerators for the numerator , and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.
⇒[tex] \sf{ \frac{ - 3 \times 5}{1 \times ( - 2)} }[/tex]
⇒[tex] \sf{ \frac{ - 15}{ - 2} }[/tex]
Divide -15 by -2
⇒[tex] \sf{7.5}[/tex]
Hope I helped!
Best regards!!
The angle of elevation of the top of a tower from a point 100m away is 45 degrees. What is the height of the tower to the nearest metres?
Answer:
SOHCAHTOA.
TOA=opposite/adjacent.
Tan45=100/h.
h tan45=100.
h×1=100.
h=100m
Answer:
[tex]\Huge \boxed{\mathrm{100 \ meters}}[/tex]
Step-by-step explanation:
The base of the right triangle created is 100 meters.
The angle between the base and the hypotenuse of the right triangle is 45 degrees.
We can use trigonometric functions to solve for the height of the tower.
[tex]\displaystyle \mathrm{tan(\theta)=\frac{opposite}{adjacent} }[/tex]
Let the height be x.
[tex]\displaystyle \mathrm{tan(45)}=\frac{x}{100}[/tex]
Multiplying both sides by 100.
[tex]\displaystyle 100 \cdot \mathrm{tan(45)}=x[/tex]
[tex]100=x[/tex]
The height of the tower is 100 meters.
Translate and solve:
Six more than twice a
number is atleast -8
Answer:
x > -7
Step-by-step explanation:
Step 1: Translate
Twice a number = 2x
Six more = + 6
At least = >
-8 = -8
Step 2: Write out inequality
2x + 6 > -8
Step 3: Solve
2x > - 14
x > -7
[tex] x - 2\sqrt{x - 3 = 0} [/tex]
what value of x satisfies the equation above?
x=
Answer:
No Real Solutions
Step-by-step explanation:
So we have:
[tex]x-2\sqrt{x-3}=0[/tex]
First, determine the domain restrictions. The expression under the radical cannot be less than 0. Therefore:
[tex]x-3\geq 0\\x\geq 3[/tex]
Therefore, our final answers must be greater than or equal to 3:
Now, going back to the original equation, subtract x from both sides:
[tex]-2\sqrt{x-3}=-x[/tex]
Now, square both sides:
[tex]4(x-3)=x^2[/tex]
Distribute:
[tex]4x-12=x^2[/tex]
Subtract 4x and add 12 to both sides:
[tex]0=x^2-4x+12[/tex]
This isn't factor-able. Let's use the quadratic formula. a is 1, b is -4 and c is 12:
[tex]x= \frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]
Substitute:
[tex]x=\frac{4\pm\sqrt{(-4)^2-4(1)(12)}}{2(1)}[/tex]
Simplify the radical:
[tex]x=\frac{4\pm\sqrt{-32}}{2(1)}[/tex]
The number under the radical is negative. In other words, there are no real solutions.
Can someone pls help me? I don't understand how to do this. Would really appreciate it!
Answers:
a = 21b = 42*sqrt(2)h = 14*sqrt(2)================================================
Explanation:
There are 3 right triangles here. They are all similar triangles allowing us to form the proportion
7/h = h/56
which solves to...
7/h = h/56
7*56 = h*h
392 = h^2
h^2 = 392
h = sqrt(392)
h = sqrt(196*2)
h = sqrt(196)*sqrt(2)
h = 14*sqrt(2)
Note: h is the geometric mean of 7 and 56.
---------------------
Use the pythagorean theorem to solve for 'a'. Focus on the smaller triangle on the left
7^2 + h^2 = a^2
7^2 + (sqrt(392))^2 = a^2
49 + 392 = a^2
441 = a^2
a^2 = 441
a = sqrt(441)
a = 21
---------------------
Then we can find b. Again use the pythagorean theorem. Focus on the largest right triangle this time.
a^2 + b^2 = (7+56)^2
21^2 + b^2 = 63^2
441 + b^2 = 3969
b^2 = 3969 - 441
b^2 = 3528
b = sqrt(3528)
b = sqrt(1764*2)
b = sqrt(1764)*sqrt(2)
b = 42*sqrt(2)
Where is the solution located when graphing a system of inequalities?
Answer:
in the intersection region of all the solution in the system.
15% of x is 27, x= what?
please helppp meeee
Answer:
[tex]\huge \boxed{x=180}[/tex]
Step-by-step explanation:
15% of x = 27
[tex]\sf 15\% \cdot x =27 \\\\\\ 0.15x=27 \\\\\\ Divide \ both \ sides \ by \ 0.15. \\\\\\ \frac{0.15x}{0.15} = \frac{27}{0.15} \\\\\\ x = 180[/tex]
15% of 180 is 27.
Answer:
x = 180
Step-by-step explanation:
15% of x = 27
x = 27 / 0.15
x = 180
g) Express 30 miles per hour in feet per minute.
Need to find x please help!!!!!!!!!!!!!!
Answer:
x=17
Step-by-step explanation:
It's a right angle, therefore it has to equal 90.
90=22+4x
90-22=68
68 divided by 4 is 17
Answer:
X=5.75
Step-by-step explanation:
4x+22=45
4x=23(because you subtract 22 from both sides)
23/4=5.75
The perimeter of a parallelogram is 72 meters. The width of the parallelogram is 4 meters less than its length. Write an equation that could be used to find the length of the parallelogram. (Remember: the perimeter of a rectangle is the sum of the lengths of its sides or P=2L + 2W)
Answer:
L= 16 m
W= 12 m
Step-by-step explanation:
let us define the parameters of the parallelogram
let the length be L
and the width be W
given that the W= L-4
perimeter= 72 meters
We know that the perimeter of a parallelogram is given as
[tex]P=2L + 2W[/tex]
Substituting W= L-4 for W we have
[tex]72=2L + 2(L-4)\\\\72= 2L+2L-8 \\\\72= 4L-8\\\\4L= 72-8\\\\4L= 64[/tex]
Divide both sides by 4 we have
[tex]L= 64/4\\\\L= 16 m[/tex]
From w= L-4 we can find w by setting L= 16
W= 16-4
W= 12 m
Ther are 100 centimeters in. Meter . A jogger runs 800 meters how many centimeters does the jogger run
Answer:
ijwnecijnec
Step-by-step explanation:
ijwmcijncipjnecjn dn nnnev
Answer:
the jogger runs 80000 centimeters.
Step-by-step explanation:
1 metre = 100 centimeters (cm)
so if the jogger runs 800 metres, it means he jogs
800 × 100 cm
= 80000 cm
Choose the equation of the vertical line passing through the point (-2,3) with a slope -6
Answer:
y = -6x -9Step-by-step explanation:
[tex](-2,3) =(x_1,y_1)\\\\Slope=m= -6\\\\[/tex]
Substitute values into point slope form
[tex]y -y_1 =m(x-x_1)\\y -3=-6(x - (-2))\\y -3 =-6(x+2)\\y -3 =-6x -12\\y =-6x -12+3\\y =-6x -9[/tex]
Answer:
y=-6x-9
Step-by-step explanation:
You can write the equation in slope intercept form.
y=mx+b
m is the slope and b is where the line intersects the y axis.
If the slope is -6,
y=-6x+b
We can find b by trying all different options until we get to the line that intersects (-2,3)
Find the total surface area of a solid cone of base radius 8cm and vertical height 6cm. (use the value 3.14 for π and give answers to the nearest cm2.
Answer:
351.68 cm^2
Step-by-step explanation:
Radius= 8cm
Vertical length (l)=6cm
therefore, Total surface area of a solid cone
= [tex]\pi r^{2} +\pi rl[/tex]
[tex]\pi r( r+l)\\3.14 *8(8+6)\\25.12(14)\\351.68[/tex]
Total Surface Area of the solid cone= 351.68 cm^2
Answer:
352cm²
Step-by-step explanation:
formula = πr² + πLr
L = 6cm
r = 8cm
π = 3.14
3.14 × (8²) + 3.14 × 6 × 8
200.96 + 150.72
= 351.68
to the nearest cm² = 352cm²
The area of an artist square canvas can hold 113 square square inches of paint. What is the approximate length of one side of the canvas (approximate to the nearest hundredth inch)
Answer:
The approximate length of one side of the canvas (approximate to the nearest hundredth inch)= 10.63
Step-by-step explanation:
There are two ways to solve this problem . One is the use of the calculator and the other is the use of the fraction.
Now the square has equal sides length = breadth .
So we can simply find the length on one side by taking square root with the help of the calculator .
So when you press the symbol of square root after entering the number 113 we get the answer 10.63
Square = Length * breadth
Square = Length * length
Square = L²
One side =√ L²= L so √113= 10.63
The approximate length of one side of the canvas (approximate to the nearest hundredth inch)= 10.63
Can somebody help me with this ?? :)
Write the prime factorization of each number in e-g.
e. 25
f. 100
g. 16
Answers:
25 = 5*5 which is the same as 25 = 5^2
100 = 2*2*5*5 which is the same as 100 = 2^2*5^2
16 = 2*2*2*2 which is the same as 16 = 2^4
====================================================
Explanation:
To find the prime factorization of 25, we divide by prime numbers. We see that 25/2 = 12.5 isn't a whole number, and neither is 25/3 = 8.33 (approx). But 25/5 = 5 is a whole number. The result is a prime number so we can stop here. This shows that 25 = 5*5 = 5^2
------------
We'll do the same for 100 as well. Start with dividing over 2
100/2 = 50
50/2 = 25
we can't do 25/2 as mentioned earlier, but we can say 25/5 = 5
So basically 100 = 2*2*25 = 2*2*5*5 = 2^2*5^2
-------------
The same will happen with 16 as well. We divide by 2 until we arrive at a prime number result
16/2 = 8
8/2 = 4
4/2 = 2
We have three 2's as denominators and that last result 2 is included in the set of prime factors as well to say 16 = 2*2*2*2 = 2^4
-------------
The factor tree for each is shown below. For something like 100, there are a few ways to draw out the tree. The same applies for 16 as well.
Which statements are true about car color? Choose four correct answers. White is the most popular in every region. Red is the most popular in the East than in the other regions. About 23% of the people in the West have a green car. About 17% of the people in the Midwest have a gray car. Silver and black are equally popular in the East.
Answer:
These are the four correct options are:
White is the most popular in every region.
About 23% of the people in the west have a grey car not green car.
About 17% of the people in the mid west have a grey car
Silver and black are equally popular in the east..
The correct options are shown below:
What is Bar graph?A bar chart or bar graph is a chart or graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent. The bars can be plotted vertically or horizontally. A vertical bar chart is sometimes called a column chart.
According the given Bar graph the following are the correct answers are:
White is the most popular in every region. Red is the most popular in the East than in the other regions. About 17% of the people in the Midwest have a gray car.Silver and black are equally popular in the East.Learn more about bar graph here:
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544ml^2 is how many liters
show your work
Answer:
295.936
Step-by-step explanation:
First find out what 544^2 is. That is 295,936. There are 100 ml in 1 liter. So divide 295,936 by 100 to see how many liters are in 295,936 ml.
295,936÷100=295.936
6.
The difference between two even numbers is positive.
Answer:
Consecutive par .. 2,4,6,8 .....
positive difference between 6 and 8
8-6 = 2; this difference will always be 2 regardless of the number if it is consecutive even.
Step-by-step explanation:
which of the following verified that ABC is similar to DEF
Answer:
D
Step-by-step explanation:
The two triangles are similar by the property side angle side.
If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.
Here in the triangles, the angle is equal and the sides are dilated by factor two from 18 to 9. It means that the sides are similar to each other and the angle is the same.
To know more about similarities follow
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