Answer:
x = 1/2Step-by-step explanation:
[tex]\frac{4}{5}x-\frac{1}{10}=\frac{3}{10}\\\\\mathrm{Add\:}\frac{1}{10}\mathrm{\:to\:both\:sides}\\\\\frac{4}{5}x-\frac{1}{10}+\frac{1}{10}=\frac{3}{10}+\frac{1}{10}\\\\\frac{4}{5}x=\frac{2}{5}\\\\\mathrm{Multiply\:both\:sides\:by\:}5\\\\5\times \frac{4}{5}x=\frac{2\times \:5}{5}\\\\4x=2\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\\\frac{4x}{4}=\frac{2}{4}\\\\x=\frac{1}{2}[/tex]
Answer:
1/2
Step-by-step explanation:
isolate variable
solve
Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2ab-6a+5b+___
Answer:
-15
Step-by-step explanation:
We proceed as follows;
In this question, we want to fill in the blank so that we can have the resulting expression expressed as the product of two different linear expressions.
Now, what to do here is that, when we factor the first two expressions, we need the same kind of expression to be present in the second bracket.
Thus, we have;
2a(b-3) + 5b + _
Now, putting -15 will give us the same expression in the first bracket and this gives us the following;
2a(b-3) + 5b-15
2a(b-3) + 5(b-3)
So we can have ; (2a+5)(b-3)
Hence the constant used is -15
A girl scored 18 out of 25 in English language and p% in mathematics. if her average score is 78% , what is the value of p
Answer:
84%
Step-by-step explanation:
percentage of score in English=18/25*100
=72%.
72+p/2=78
72+p=156
p=84%
Mark me BRAINLIEST if helped
Tysm!
Assume that the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder. Based on this assumption, the volume of the flask is cubic inches. If both the sphere and the cylinder are dilated by a scale factor of 2, the resulting volume would be times the original volume.
Answer:
The answer is below
Step-by-step explanation:
From the diagram of the flask attached, the diameter of the cylinder is 1 inch and its height (h) is 3 inches. The radius of the cylinder (r) = diameter / 2 = 1/2 = 0.5 inch
The volume of the cylinder = πr²h = π(0.5)² × 3 = 2.36 in³
While for the sphere the diameter is 4.5 in. The radius of the sphere R = diameter / 2 = 4.5/2 = 2.25
The volume of the sphere = 4/3 (πR³) = 4/3 × π × 2.25³ = 47.71 in³
Volume of the flask = The volume of the cylinder + The volume of the sphere = 2.36 + 47.71 = 50.07 in³
If the sphere and the cylinder are dilated by a scale factor of 2. For the cylinder its height (h') = 3/2 = 1.5 inch and its radius (r') = 0.5/2 = 0.025
The new volume of the cylinder = πr'²h' = π(0.25)² × 1.5 = 0.29 in³
While for the sphere The radius of the sphere R' = 2.25 / 2 = 1.125
The new volume of the sphere = 4/3 (πR'³) = 4/3 × π × 1.125³ = 5.96 in³
New Volume of the flask = The new volume of the cylinder + The new volume of the sphere = 0.29 + 5.96 = 6.25 in³
The ratio of the new volume to original volume = New Volume of the flask / Volume of the flask = 6.25 / 50.07 = 1/8 = 0.125
The resulting volume would be 0.125 times the original volume
Answer:
50.07 and 8 times
Step-by-step explanation:
1) Calculate volume of each figure using according formulas.
You should get:
Sphere: 47.71in^3
Cylinder: 2.36in^3
Now let's add, and you should get 50.07.
2) Let's dilate the dimensions/flask by 2 (multiply by 2)
4.5 * 2 = 9
1 * 2 = 2
3 * 2 = 6
Now with these dimensions you should get:
Sphere: 381.7in^3
Cylinder: 18.85in^3
This should add up to 400.55in^3
Divide new by original. 400.55 / 50.07 = 8
So it is 8 times larger.
A pharmaceutical salesperson receives a monthly salary of $4700 plus a commission of 2% of sales. Write a linear equation for the salesperson's monthly wage W in terms of monthly sales S.
Answer:
[tex]W= 4700+0.02S[/tex]
Step-by-step explanation:
Given that
W is the monthly wage
S is the monthly sales
According to the problem statement, salesperson receives a monthly salary of $4700 (sales or no sales made he/she gets that amount)
Also plus 2% commission of sales made for the month added to the wage
we can model his/her wage as follows
[tex]W= 4700+ (2/100)S\\\\ W= 4700+0.02S[/tex]
Hence the model for the monthly wage is [tex]W= 4700+0.02S[/tex]
Please answer this question quickly!
Answer:
y = 1.48 or y = - 0.193 to 3 s f.
Step-by-step explanation:
By comparing the 2 equations term by term we see that x = 1/y
So 1/y = 0.676
giving y = 1 / 0.676
= 1.48 to 3 s f.
an
1/y = -5.18
y = - 0.193 to 3 s f.
I need help on this question!!!
Answer:
The answer is 17.
Step-by-step explanation:
200/3 is approximately 67, and divided by 4 again to represent the second checkpoint will become 16.75. Obviously there can't be a fraction of a bag, so the answer is 17.
Answer:
16
Step-by-step explanation:
the lcm for 3 and 4 is 12
200 ÷ 12 = 16.667
≈16
27
A radioactive substance decays at an annual rate of
13 percent. If the initial amount of the substance is
325 grams, which of the following functions i
models the remaining amount of the substance. In
grams, 1 years later?
A) f(t) = 325(0.877'
B) f(t) = 325(0.13)
C) f(t) = 0.87(325)
D) (t) = 0.13(325)
Answer:
the answer
Step-by-step explanation:
D) 0.13 (325)
HOPE THIS HELPS!
do you need the workout?
Daily question:Help and I’ll make you brainliest and give you thanks show your work 11 points.
Answer:
y = 17x + 130$283 for 9 daysStep-by-step explanation:
The daily charge will be 17x for x days of rental. Added to the flat rate, the total becomes ...
y = 130 +17x
__
For 9 days, the cost is ..
y = 130 +17·9 = 130 +153 = 283 . . . . dollars charge for 9 days
In the Diagram, DEC is a ____ of ABC across line k.
rotation
glide reflection
reflection
translation
Answer:
Reflection
Step-by-step explanation:
A reflection is a mirrored image of a shape. Notice how DEC seems to be a "flipped" version of ABC, hence a mirrored image.
Cheers.
HURRY PLZ WILL GIVE BRAINIEST IF I CAN 4f+4+3d-6-3f
Answer:
3d + f -2
Step-by-step explanation:
= 4f+4+3d-6-3f
= f+3d-6
= 3d+ f - 6
The perpendicular bisector of the line segment connecting the points $(-3,8)$ and $(-5,4)$ has an equation of the form $y = mx + b$. Find $m+b$.
Answer:
m = -1/2 and b = 6.5
Step-by-step explanation:
To find the slope of the original line segment, we have to do the change in y/the change in x:
(4-8)/(-5--3) = -4/-2 = 2
2 is the slope of the original line segment, but since this is the perpendicular bisector, we have to take the negative reciprocal of 2 so m = -1/2
To find b we substitute the values of x, y, and m into the equation. Let's use the x value of -3 and the y value of 8:
y = mx + b
8 = -1/2(-3) + b
8 = 3/2 + b
6.5 = b
A line passes through the given points. Write an equation for the line in point-slope form. Then rewrite the equation in slope-intercept form. (4, –2), (9, –8)
Answer:
Step-by-step explanation:
(-8+2)/(9-4)= -6/5
y + 2 = -6/5(x - 4)
y + 10/5 = -6/5x + 24/5
y = -6/5x + 14/5
I need urgent help with the question. Can someone please give full working out of the attached question
Answer:
2x-2
Step-by-step explanation:
Being specifically asked to rationalise the denominator we focus on it as required.
To rationalise a term it has to be multiplied by its inverse.
The inverse of
[tex] \sqrt{x} - \sqrt{2 - x} [/tex]
is
[tex] \sqrt{x} + \sqrt{2 - x} [/tex]
Multiplying this two vives us a difference of two squares
[tex] {( \sqrt{x} })^{2} - {( \sqrt{2 - x} )}^{2} [/tex]
which gives us
x-(2-x)
=2x-2
How many hours are there in ten quarters of an hour?
Answer:
2 1/2 hours
Step-by-step explanation:quarters means 1/4 and there are 4 of them in each hours so if you have 10 quarters of a hour they add up to 2 hours and a half, because 2 hours times 4 equals 8 quarters and then add the other 2 quarters and you get half
which is the graph of f(x)=x^2-2x+3
Answer:
Step-by-step explanation:
Hello, the vertex is (1,2), right?
You remember that when the parabola equation is in standard form like below
[tex]y=ax^2+bx+c[/tex]
The vertex is for , and we apply with this example where a = 1, b = -2, c=3
[tex]x=-\dfrac{b}{2a}=\dfrac{-(-2)}{2}=1\\\\1^2-2*1+3=4-2=2[/tex]
So this is the first graph.
Thank you
Answer:
A
Step-by-step explanation:
I just took the test
23^3 (-12)^3 +(-11)^3 without actually calculating cubes
Answer:
9108
Step-by-step explanation:
23^3+(-12)^3+(-11)^3 remove parentheses
= 23^3-12^3-11^3 group difference of two cubes
= (23-12)(23^2+23*12+12^2) + 11^3 factor difference of two cubes
= 11 (23^2+23*12+12^2-11^2) factor ou 11
= 11(23(23+12) + (12+11)(12-11)) apply difference of two squares
= 11 (23*35+23*1) factor out 23
= 11(23*(35+1)) simplify
= 11*23*36 convert 11*23 into difference of 2 squares
= (17^2-6^2)*6^2 expand parentheses
= 102^2-36^2 evaluate squares
= 10404 - 1296 subtraction
= 9108
(no calculator required)
This bag has an unknown number of lollipops and jelly snakes in it. I know that Pr (jelly snake) = 4/5. How many jelly snakes could I have in the bag, if I know I have over 10 lollies total?
Answer:
40.
Step-by-step explanation:
Let J represent jelly snake.
Let L represent lollipops
Let S represent sample space
Let y represent the number of jelly snake in the bag. I.e
Number of J = y
Number of L = 10
Number of S = 10 + y
From the question given, we were told that the probability of jelly snake P(J) is 4/5.
But probability of jelly snake, P(J) is given by:
P(J) = nJ/nS
nJ = y
nS = 10 + y
P(J) = 4/5
Thu, we can obtain the number jelly snake, y, in the bag as follow:
P(J) = nJ/nS
4/5 = y/(10 + y)
Cross multiply
5y = 4(10 + y)
Clear bracket
5y = 40 + 4y
Collect like terms
5y – 4y = 40
y = 40
Therefore, the number of jelly snake in the bag is 40
what means by this*
Answer:
star or asterisk if you are talking about (*)
Answer:
(*) is similar to (×)
and it means multiply
Will Give Brainliest, answer ASAP x=
y=
z=
Opposite angles are identical.
11y = 55
Y = 55/11
Y = 5
3z-4 = 110
Add 4 to both sides
3z= 114
Z = 114/3
Z = 38
180 -110 = 70
55 + x = 70
X = 70-55
X =15
X = 15, y = 5, z = 38
Answer:x=15, y=5, z=38
Step-by-step explanation: you know that opposite angles are the same. y=5
add 4 to both sides. and you get the value for x y z.
Solve the equation for x. the square root of the quantity x plus 4 end quantity minus 7 equals 1 x = 4 x = 12 x = 60 x = 68
Answer:
x = 60
Step-by-step explanation:
Given
[tex]\sqrt{x+4}[/tex] - 7 = 1 ( add 7 to both sides )
[tex]\sqrt{x+4}[/tex] = 8 ( square both sides )
([tex]\sqrt{x+4}[/tex] )² = 8² , that is
x + 4 = 64 ( subtract 4 from both sides )
x = 60
Jason is the captain of his basketball. The list below shows how many points Jason scores in each of the first 10 games of the season. Would the results show a sample or a population?
Since it was his first 10 games, it doesn’t represent all of the games so I thought it would be sample but many are saying it’s population
Answer:
Sample because it's only the first ten games of the season not of all the games in the season
Step-by-step explanation:
Answer:
Sample but the power of a study is its ability to detect an effect when there is one to be detected. ... A sample size that is too small increases the likelihood of a Type II error skewing the results, which decreases the power of the study.
Within accompaniment order to be a population then it would need to be justifiable to be comparable to a larger cross section same teams different players that could be at the end of the season, and a population that shows cross section of change, such as the inevitable and include distractions that occur in sports as season starts and progresses till end. Examples of this would include ie) playing with man down etc. or against a team with man down or during penalties etc..
It only becomes a population when it defines all home games only being used as a population as this would show less distraction for each team. Which would be unlikely event in first 10 games, just like it would be unfair to not show the differences for away games within a population.
The higher proportion showing the whole season, thereafter would show population as things change too fast in seasonal events.
What is the image of (-5, -1) after a reflection over the x-axis?
Answer:
( -5, 1)
Step-by-step explanation:
When we reflect over the x axis
(x,y)→(x,−y)
( -5, -1) becomes ( -5, - -1) which is ( -5, 1)
Please answer this question now
Answer:
320 square inches
Step-by-step explanation:
4 * 1/2(8)(16) + 8*8 = 320
Answer:
320 sq. in.
Step-by-step explanation:
The formula for finding the area of a triangle is:
[tex]\frac{hb}{2}[/tex] (basically multiplying the height and the base and then dividing by 2)
Since there are 4 triangles, we can multiply the area of 1 triangle by 4 (64 times 4 is 256).
Then, on the bottom we have a (8 times 8) square (64).
Triangles: 256
Square: 64
256 + 64 = 320 sq. in!
Hope that helps and maybe earns a brainliest!
Have a great day!
Question 1(Multiple Choice Worth 5 points) (07.02 LC) Celine is playing a game at the school carnival. There is a box of marbles, and each box has a white, a green, a blue, and an orange marble. There is also a fair 12-sided die labeled with the numbers 1 through 12. How many outcomes are in the sample space for pulling a marble out of the box and rolling the die? 48 32 16 8
Answer: 48
Step-by-step explanation:
Given, A box has a white, a green, a blue, and an orange marble.
Total possible outcomes of pulling marbles = 4
There is also a fair 12-sided die labeled with the numbers 1 through 12.
Total possible outcomes of rolling the die = 12
By Fundamental counting principle , we have
Possible outcomes are in the sample space for pulling a marble out of the box and rolling the die = (Total possible outcomes of pulling marbles ) x (Total possible outcomes of rolling the die)
= 4 x 12
= 48
Hence, the correct answer is "48".
A right cylinder has a radius of 2 units and a height of 5 units.
A right cylinder has a radius of 2 units and a height of 5 units.
What is the volume of the cylinder? Round to the nearest tenth.
31.4 cubic units.
62.8 cubic units
157.1 cubic units
314.2 cubic units.
Answer:
62.8 cubic units
Step-by-step explanation:
Because, The formula of volume of cylinder is Volume = square of radius multiply by its height
The volume of the cylinder round to the nearest tenth is 62.8 cubic inches
How to calculate the volume of a cylinder?The formula for calculating the volume of a cylinder is expressed as;
V = πr²h
where
r is the radius of the cylinder
h is the height of the cylinder
Given
radius = 2 units
height = 5 units
Substitute
V = (3.14)* 2² * 5
V = 3.14 * 20
V = 62.8 cubic inches
Hence the volume of the cylinder round to the nearest tenth is 62.8 cubic inches
Learn more on volume of cylinder here: https://brainly.com/question/9554871
Please help whenever I do this i always get 306 but that's incorrect.
Answer:
$153
Step-by-step explanation:
Divide by 100-sale%
102/.66666=
$153
Check: 153x.666666=102 YES
Answer:
the original price is 153
Step-by-step explanation:
leather jacket is 102 sale price
the sale is 1/3 of original price
the original price=1/2 its price=sale price
x-1/3x=102
2/3 x=102
2x=306
x=306/2
x=153 dollars
what equation accurately represent this statement three less than 4 times a number is less than 12
Answer: 4t - 3 < 12
Step-by-step explanation:
what is the volume of 5 m 8m and 10.5m
Answer:
Volume = 5×8×10.5 = 420 meters3
Step-by-step explanation:
5×8×10.5
solve for x and y plz 12x - 5y = -20 x + 4 = y
Answer:
(0,4)
Step-by-step explanation:
System of Equations:
[tex]\left \{ {{12x-5y=-20} \atop {x+4=y}} \right.[/tex]
x= y-4 .... Change format so you can substitute to first equation
12(y-4)-5y=-20 .... Plug in x= y-4 to first equation
12y - 48 -5y = -20 ..... Distributed
7y -48 =-20 .... Added like terms
7y=28 .... Added 48 to both sides
y=4
.... Plug y into the second equation to find x
x + 4=y
x +4 = 4 .... Plugged in y
x = 4-4 .... Subtracted 4 from both sides
x=0
Your answer is (0,4)
Hope this helps:)
When dividing exponents with the same base, what operation do we use
with the exponents? (the quotient rule)
Answer:
To divide exponents (or powers) with the same base, subtract the exponents. Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.Quotient Rule: , this says that to divide two exponents with the same base, you keep the base and subtract the powers. This is similar to reducing fractions; when you subtract the powers put the answer in the numerator or denominator depending on where the higher power was located.
Step-by-step explanation:
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