Answer:
x = 18.
Step-by-step explanation:
x / 1.2 = 15
To isolate x we multiply both sides of ther equation by 1.2:
x = 15 * 1.2
x = 18 (answer).
For this case we must find the value of the variable "x" of the following equation:
[tex]\frac {x} {1.2} = 15[/tex]
To do this, we must multiply both sides of the equation by "1.2":
[tex]\frac {x} {1.2} * 1.2 = 15 * 1.2\\x = 18[/tex]
Thus, the value of the variable x is 18.
Answer:
[tex]x = 18[/tex]
What graph best represents the solution to the equality y - 2x > -8
Answer:
In the attachmentStep-by-step explanation:
[tex]y-2x>-8\qquad\text{add}\ 2x\ \text{to both sides}\\\\y>2x-8\\-------------------------\\\\<,\ >-\ dotted\ line\\\leq,\ \geq-\ solid\ line\\<,\ \leq-\ \ shading\ below\ the\ line\\>,\ \geq-\ shading\ above\ the\ line\\-------------------------\\\\y=2x-8-\text{It's a linear function.}\\\text{We only need two points to draw a graph.}\\\text{Choice two arbitrary values of x, substitute to the equation,}\\\text{and calculate the values of y}.\\\\for\ x=4\to y=2(4)-8=8-8=0\to A(4,\ 0)\\for\ x=0\to y=2(0)-8=0-8=-8\to B(0,\ -8)[/tex]
If Siobhan hits a 0.25kg volleyball with a 0.5 N of force , what is the acceleration of the ball ?
Answer:
Acceleration = 2 meters /second^2.
Step-by-step explanation:
Use Newton's Second Law of Motion:
Force = mass * acceleration.
0.5 = 0.25 * a
a = 0.5 / 0.25
a = 2 meters /second^2.
Another question pls
Answer: 4
Explanation: Every other drink is a cappuccino (or half of the total drinks). All you need to do is divide 8 by 2, which gives you 4.
The answer is 4 because if 5 of the ten drinks were cap.’s then that means half are those, therefore, half of 8 is 4
What expression represents 2 times the sum of 5 and 7
Answer:
2(5+7)
Step-by-step explanation:
2 times any equation is 2(equation) and our equation is the sum of 5 and 7 which means 5 plus 7, therefore our equation is 2(5+7)
Answer
(5 + 7) · 2
Step-by-step explanation
If we take a look at PEMDAS or BEDMAS whichever one you were taught, multiplication comes before addition. (And unless you are in 2nd grade, you will know that "times" means multiplication, and sum is the result of an addition problem.)
P = Parentheses {|} B = Brackets/Parentheses
That means that anything in parentheses or brackets comes first, no matter what type of problem it is. So, if we add 5 and 7 and then multiply it by two and just rephrase that, we get 2 times the sum of 5 and 7.
Harry is saving for a vacation. He kept track of how much he saved each month over the last six months in the following table. What did Harry save per month on average?
Sep
Oct
Nov
Dec
Jan
Feb
$145.00
$166.00
$204.00
$180.00
$70.00
$150.00
a.
$152.50
b.
$158.00
c.
$915.00
d.
$155.25
Answer:
$152.50
Step-by-step explanation:
Moths savings
Sep $145.00
Oct $166.00
Nov $204.00
Dec $180.00
Jan $70.00
Feb $150.00
Now we are supposed to find hat did Harry save per month on average
So, Mean = [tex]\frac{\text{Sum of all savings}}{\text{Total no. of months}}[/tex]
Mean = [tex]\frac{145+166+204+180+70+150}{6}[/tex]
Mean = [tex]\frac{915}{6}[/tex]
Mean = [tex]152.50[/tex]
So, Option A is correct.
Hence Harry saved $152.50 per month.
What is the answer for this express
Answer:
12,2,4,7
I think those are the coefficients
For this case we have to, given a monomial of the form:
[tex]ax ^ ny ^ m[/tex]
We have to:
a: Represents the coefficient of the monomial
x, y: Are the variables
n, m: They are the exponents
Then, according to the given expression we have that the coefficients are:
12,2, 4 and 7
ANswer:
12,2, 4 and 7
The graph below shows a system of equations: y = -x - 2 and y = 2x - 5. The x-coordinate of the solution to the system of equations is?
ANSWER
The x-coordinate of the solution to the system of equations is 1.
EXPLANATION
The given equations are:
y = -x - 2
and
y = 2x - 5.
We want to find the x-coordinate of the solution to the system of equations.
We equate the two equations to obtain an equation in x.
This implies that,
2x-5=-x-2
Group similar terms to obtain:
2x+x=-2+5
Simplify
3x=3
Divide both sides by 3.
x=1
The x-coordinate of the solution to the system of equations is 1
The solution to the system of equations y = -x - 2 and y = 2x - 5 is found by setting them equal to each other and solving for x, which yields the x-coordinate of the solution as 1.
Explanation:To find the x-coordinate of the solution to the system of equations y = -x - 2 and y = 2x - 5, we can solve the equations simultaneously since they are both linear equations. Here are the steps to finding the solution:
First, we set the equations equal to each other since they both equal y: -x - 2 = 2x - 5.Next, we add x to both sides to get 2x + x on the right side: -2 = 3x - 5.Then, we add 5 to both sides to isolate the term with x: 3 = 3x.Finally, we divide both sides by 3 to solve for x: x = 1.So, the x-coordinate of the solution to the system of equations is 1.
Select the correct answer.
What is the equation of a line that passes through (7.8) and has a slope of -3?
A.
y=-3x + 29
B.
c.
D.
y = 3x + 13
y = (1)/(3)x-29
y = -(1)/(3)x-13
Reset
Next
2019 EdmontumAllah
Answer:
A. y=-3x + 29
Step-by-step explanation:
The slope shows up in the equation as the coefficient of x. Only answer choice A has an x-coefficient of -3. It also happens to describe a line that goes through (7, 8).
y = -3x +29
___
Check
y = -3·7 +29 = -21 +29 = 8 . . . . as required
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 3, so
y = - 3x + c ← is the partial equation of the line
To find c substitute (7, 8) into the partial equation
8 = - 21 + c ⇒ c = 8 + 21 = 29
y = - 3x + 29 → A
Simplify the expression for questions 1,2,3
32√2
-5√5
3√7 + 7√6;
Find the highest perfect square and non-perfect square that will give you the product of what is inside the radicals, multiply the square roots of those perfect squares by their outside terms, and you will have your simplified radicals.
Cone A is similar to Cone B with a scale factor of 3:5. If the surface area of Cone B is 725 ft2 (squared), find the surface area of Cone A
Answer:
one A has a diameter of 10 inches and Cone B has a diameter of 50 inches. If the cones are similar, find the volume ratio of Cone A to Cone B.
Step-by-step explanation:
The surface area of Cone A when the surface area of Cone B is 725 ft² for the case when Cone A is similar to Cone B with a scale factor of 3:5 is 2013.89 ft²
How does scale factor affects the area and volume of a figure?Similar figure are zoomed in or zoomed out (or just no zoom) version of each other. They are scaled version of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.
So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:
[tex]L = k \times M[/tex]
where 'k' will be called as scale factor.
The linear things grow linearly like length, height etc.
The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by [tex]k^2[/tex]
to get each other corresponding quantity from their similar figures' quantities.
So area of first figure = [tex]k^2 \times[/tex] area of second figureSimilarly, increasing product derived quantities will need increased power of 'k' to get the corresponding quantity. Thus, for volume, it is k cubed. or
Volume of first figure = [tex]k^3 \times[/tex] volume of second figure.It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.
For this case, we're given that:
The scale factor between cone A and cone B is 3:5
That can be taken as: [tex]3/5 = 0.6[/tex] scale factor.
It means,
side length of cone A = [tex]0.6 \times[/tex] corresponding side length of cone B
Also, as given, we have:
Surface area of cone B = 725 ft²
Assume that cone A's surface area is S, then we get:
surface area of cone A = [tex]0.6^2 \times[/tex] surface area of cone B
[tex]725 = 0.6^2 \times S\\S =\dfrac{725}{0.6^2} \approx 2013.89 \: \rm ft^2[/tex]
Thus, the surface area of Cone A when the surface area of Cone B is 725 ft² for the case when Cone A is similar to Cone B with a scale factor of 3:5 is 2013.89 ft²
Learn more about scale factor here:
https://brainly.com/question/11178083
#SPJ2
A student measures the mass of an 8cm^3 block of confectioners (powdered) sugar to be 4.49 grams. Determine the density of powdered sugar.
Answer:
D=.56 g/cm^3
Explanation:
Density= mass/volume
D=4.49/8
D=.56 g/cm^3
Hope you get it!
An 8 cm³ block of confectioners sugar that weigh 4.49 grams would have a density of 0.56 g/cm³. Thus, the density of powdered sugar is 0.56 g/cm³
Calculating densityFrom the question, we are to determine the density of the powdered sugar
Density can be calculated by using the formula,
[tex]Density = \frac{Mass}{Volume}[/tex]
From the given information,
Volume = 8 cm³
and Mass = 4.49 g
Putting the parameters into the equation,
[tex]Density = \frac{4.49}{8}[/tex]
Density = 0.56125 g/cm³
Density ≅ 0.56 g/cm³
Hence, the density of powdered sugar is 0.56 g/cm³
Learn more on Calculating density here: https://brainly.com/question/11258429
Can someone please help . Thank you !! :)
Answer:
1000 years
Step-by-step explanation:
1x10^11 is basically 100 billion
1x10^8 is basically 100 million
so 100 billion divided by 100 milllion is basically 1000
so 1000 years
Can someone plz explain compound areas thanks
Answer:
A compound shape is a shape that is made up from other simple shapes. In this article we will be working out the area of a L shape (made up from 2 rectangles). To find the area of a compound shape, follow these simple steps: Step 1: Work out the missing lengths around the edge of the compound shape.
Step-by-step explanation:
PLEASE PLEASE PLEASE HELP ME
Answer:
[tex]\large\boxed{\dfrac{1}{45}}[/tex]
Step-by-step explanation:
1.
2 yellow marables of 10 all marables
[tex]P(A_1)=\dfrac{2}{10}=\dfrac{1}{5}[/tex]
2.
1 yellow marable of 9 all marables
[tex]P(A_2)=\dfrac{1}{9}[/tex]
[tex]P(A)=P(A_1)\cdot P(A_2)\\\\P(A)=\dfrac{1}{5}\cdot\dfrac{1}{9}=\dfrac{1}{45}[/tex]
How many times larger is 4 x 10 12 than 8 x 10 7?
Answer:
50000 times
Step-by-step explanation:
Since these are given in scientific notation, we can convert them to have the same powers of 10. Converting 4*10^12 to something times 10^7, we can get 4*10^5*10^7. So we divide 400000 by 8 to see how many times larger it is than 8. So we get 50000 times as our answer.
Final answer:
To determine how many times larger [tex]4 * 10^{12}[/tex] is than [tex]8 * 10^7[/tex], divide the two numbers to get [tex]0.5 * 10^5[/tex], which simplifies to [tex]5 * 10^4[/tex] or 50,000 times larger.
Explanation:
To find out how many times larger [tex]4 * 10^{12}[/tex] is than [tex]8 * 10^7[/tex], we can divide the first number by the second:
[tex]4 * 10^{12}[/tex] ÷ [tex]8 * 10^7[/tex] = (4/8) x [tex]10^{(12-7)}[/tex]
Now, simplify:
First, simplify the division of the coefficients (4/8) which equals 0.5.
Then, subtract the exponents of 10, which is 12 - 7 = 5.
So, the final answer is:
[tex]0.5 * 10^5 = 5 * 10^4[/tex]
This means that [tex]4 * 10^{12}[/tex] is 50,000 times larger than [tex]8 * 10^7[/tex].
A type of cracker, rectangular in shape, is stored in a vertical column with all of the crackers stacked directly on top of each other. Each cracker measures 2 inches in length by 1 1/2 inches in width. The volume of the column is 15 inches cubed. If there are 40 crackers in the column, what is the height of each individual cracker?
A-3/40 in
B- 1/8 in
C-1/5 in
D- 3/8 in
Answer:
b 1/8 inch
Step by step
just got right on ed
The height of each individual cracker in the vertical column is 1/8 inches.
What is the height of each individual cracker ?The height of each individual cracker can be determined by dividing the volume of the column by 40 and the area of each cracker.
Area of each cracker = 2 x 1 1/2
= 2 x 3/2 = 3 inches
Height of each individual cracker = 15/40 x 3 = 1/8 inches
To learn more about the volume, please check: https://brainly.com/question/26406747
Faye has a model airplane whose scale is 7 feet to 1 centimeter. If the wing of the real airplane is 28 feet long, how long is the wing on the model?
Answer:
4 cm is the correct answer
Figure ABCD is translated down by 6 units:
Which of the following best describes the sides of the transformed figure A'B'C'D'? (1 point)
The sides of the transformed figure A'B'C'D' describes A'D' is congruent to A'B' . The correct answer is option A
Translating a figure ABCD down by 6 units results in a congruent figure A'B'C'D', meaning the sides of the transformed figure are of the same length and angles as the original.
When a figure is translated, all of its sides remain parallel and congruent to the corresponding sides of the original figure. Therefore, the sides of the transformed figure A'B'C'D' are all parallel to the corresponding sides of the original figure ABCD.
In particular, we can see that A'D' is parallel to A'B' because they are both horizontal lines. Additionally, we can see that A'D' is congruent to A'B' because they are both the same length.
Therefore, the correct answer is option A. A'D' || A'B'.
What is the complete factorization of the polynomial below? X^3+3x^2-x-3
Answer:
(x + 3)(x + 1)(x - 1)
Step-by-step explanation:
Given
x³ + 3x² - x - 3
Factor the first/second and third/fourth terms
= x²(x + 3) - 1(x + 3) ← factor out (x + 3) from each term
= (x + 3)(x² - 1) ← (x² - 1) is a difference of squares, hence
= (x + 3)(x + 1)(x - 1) ← in factored form
Find (2 × 10^7)+(3 × 10^4)
Answer:
20,030,000
Step-by-step explanation:
You find 10⁷ times 2. then 10⁴ times 3. then add them together
Lawrence decided to test the balance of his favorite six-sided die. To do so, over the course of a month, he wrote down the total number of rolls he made with it at his weekly gaming night, and how many of those rolls showed a result of six. His data may be seen in the table below.
Week
1
2
3
4
Rolls Made
39
21
55
41
Results of Six
5
3
11
11
Find the experimental probability of Lawrence’s favorite die rolling a six, expressed as a percentage to two decimal places.
a.
16.67%
b.
18.49%
c.
19.23%
d.
26.83%
Please select the best answer from the choices provided
A
B
C
D
Answer:
C. 19.23%
Step-by-step explanation:
We simply have to sum up all the times he had a six then divide that by all the times he rolled the die.
Total times he got 6: 5 + 3 + 11 + 11 = 30
Total times he rolled the die: 39 + 21 + 55 + 41 = 156
The experimental probability is then 30 / 156 = 19.23%
It's a bit higher than expected (1/6 or 16.66%), but the sampling is relatively small. If he were to throw it a thousand times, he'd probably be much close to the theoretical probability.
What verbal expression is the same as the algebraic expression below?
8 - 3x
Question 4 options:
a three times a number minus eight
b three minus eight times a number
c eight times a number minus three
d eight minus three times a number
Answer:
D
Step-by-step explanation:
3x=3(x)
x is an unknown number which there is no value.when there is number next to it.it will become times
what is the radius of the circumference of 106.76
[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=106.76 \end{cases}\implies 106.76=2\pi r \\\\\\ \cfrac{106.76}{2\pi }=r\implies 33.98\approx r[/tex]
Answer:
Radius= 16.991381724491
Step-by-step explanation:
Circumference:106.76
Diameter:33.982763448981
11 sq root 45-4 sq root 5
Answer:
[tex]29\sqrt{5}[/tex]
Step-by-step explanation:
We want to simplify:
[tex]11\sqrt{45}-4\sqrt{5}[/tex]
We need to simplify the first radical before we can subtract
[tex]11\sqrt{9\times5}-4\sqrt{5}[/tex]
[tex]11\sqrt{9} \times\sqrt{5}-4\sqrt{5}[/tex]
This implies that:
[tex]11\times 3\times\sqrt{5}-4\sqrt{5}[/tex]
[tex]33\sqrt{5}-4\sqrt{5}[/tex]
We have now obtained like surds.
We simplify to get:
[tex]29\sqrt{5}[/tex]
Been asking for this for almost a day now lol. Can someone please help me?
Please show your work on why choice C is correct
Brainliest + 40 points
Multiply her pay by the FICA tax rate:
325 x 0.0625 = $20.31
Now look in the table for her pay and then find her number of deductions ( 2) and find what the corresponding number is, then add that to her tax.
See picture:
20.31 + 2 = $22.31
Find the Surface area. Round your answer to the nearest hundredth.
A.555.72 ft2
B. 568.40 ft2
C. 570.20 ft2
D. 575.31 ft2
Answer:
C
Step-by-step explanation:
The answer is C.
Hope this helps :)
If a varies directly as b, and a = 28 when b = 7, find b when a = 5.
A 4/5
B 5/4
C 39.2
Answer: Option B.
[tex]b=\frac{5}{4}[/tex]
Step-by-step explanation:
If a varies directly with b then when a increases b it also increases by a factor k.
Then we can write that
[tex]a = kb[/tex]
We know that when a = 28 then b = 7. So
[tex]28 = k * 7[/tex]
[tex]k=\frac{28}{7}[/tex]
[tex]k=4[/tex]
Therefore the equation of proportionality is:
[tex]a=4b[/tex]
So when [tex]a=5[/tex] then:
[tex]5=4b\\\\b=\frac{5}{4}[/tex]
ANSWER
The correct choice is B.
EXPLANATION
If 'a' varies directly as 'b' then we write the equation of variation,
[tex]a = kb[/tex]
Where k is the constant of variation.
We have that a = 28 when b = 7.
This implies that,
[tex]28= 7k[/tex]
[tex]k = 4[/tex]
The equation now becomes
[tex]a = 4b[/tex]
When we a=5, we have
[tex]5 = 4b[/tex]
[tex]b = \frac{5}{4} [/tex]
The correct answer is B
Calculate the sales tax on purchases totaling $15,245. The
sales tax rate is 8.25%.
$825
$16,070
$16,502.71
$1,257.71
$15,245
Answer:
D. $1257.71
Step-by-step explanation:
Used my calculator. lol
Answer:
$1257.71.
Step-by-step explanation:
8.25% = 0.0825.
So the sales tax on $15,245
= $15,245 * 0.0825
= $1257.71.
the graph of f(x), shown below in pink, has the same shape as the graph of g(x)=x^3, shown in gray. which of the following is the equation for f(x)?
Easily you can try each formula with x=-2
because we know f(-2)=-1
So ,in this way D is correct Only!!
Answer:
D) f(x) = (x + 2)³ -1.
Step-by-step explanation:
Given : the graph of f(x), shown below in pink, has the same shape as the graph of g(x)=x^3, shown in gray.
To find : which of the following is the equation for f(x).
Solution : We have given
Graph of f(x) is pink and graph of g(x) is gray.
We can see graph of f(x) is shifted to 2 unit left and 1 unit down
Because gray is at (0 ,0 ) and pink is at ( -2,-1)
By the transformation rule f(x) →→ f(x+h) -k.
It shows that graph is shifted to left by h unit and shifted down by k unit.
Then the equation of pink graph is :
f(x) = (x + 2)³ -1.
Therefore,D) f(x) = (x + 2)³ -1.
What is the value of r, the part of the job that Marina can complete in 1 hour?
Answer:
0.4
Step-by-step explanation:
so, Katherine can do 0.1 of the job per hour. (if she needs 10 hours for the job, each hour she can do the whole divided by the time, so 1/10, which is 0.1)
if in two hours she and Marina can be done, then Marina will do 1(the whole job)-2/10 (twice as much as she can do in an hour)=0.8 of the job. So if Marina does 0.8 of the job in two hours, each hour she will do half of it: 0.4 - and this is the correct answer