Answer:
The number he thought of was 13
Step-by-step explanation:
Revers the problem
3.5 * 3 = 10.5
10.5 - 4 = 6.5
6.5 * 2 = 13
The number was 13 if Toby thinks of a number less than 15. He divides it by 2 and then he adds 4.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Toby thinks of a number less than 15. He divides it by 2 and then he adds 4.
Let the number be x:
From the question:
Revers the problem
x =(3.5×3 - 4)×2
x = (10.5 - 4)×2
x = 6.5×2
x = 13
Thus, the number was 13 if Toby thinks of a number less than 15. He divides it by 2 and then he adds 4.
Learn more about the linear equation here:
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Algebra Complete the table.Write the
expression that can be used to find the
missing value in the second row.
Step-by-step explanation:
In the second column, we can see that every value of n is being added by 6.
Thus, the expression is n + 6.Now, let's substitute the value of n in each column to verify each column. Then, using the expression, let's find the value of n + 6 where n = 28.
When n is 12:
n + 6 = 1812 + 6 = 1818 = 18When n is 15:
n + 6 = 2115 + 6 = 2121 = 21When n is 21:
n + 6 = 2721 + 6 = 2727 = 27Thus, the expression is proven correct. Now, let's find n + 6 when n is 28.
Finding n + 6 when n is 28:
n + 6 = x28 + 6 = x34 = xThus, the missing value in the table is 34.
the diameter of a half dollar is 3 centimeters what is the circumference of a half dollar to the nearest millimeter
Answer:
9.4 cm
Step-by-step explanation:
pi*diameter=circumference
3.14159*3=9.42478
round to nearest millimeter
9.4 cm
A pink die and a green die are thrown once. What is the probability that
Using it's concept, it is found that there is a There is a 0.1667 = 16.67% probability that the sum is less than 8 if the pink die shows a number less than 4.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, the possible outcomes for the pair of dice are given by:
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
We want to find the probability that the sum is less than 8 if the first die(the pink one) shows a number less than 4.
There are 18 total outcomes in which the pink die is less than 4, and in 3, the sum is less than 4, hence:
p = 3/18 = 1/6 = 0.1667.
There is a 0.1667 = 16.67% probability that the sum is less than 8 if the pink die shows a number less than 4.
More can be learned about probabilities at https://brainly.com/question/14398287
BRAINLIEST FOR CORRECT ANSWER: What is the area of this figure?
Step-by-step explanation:
The answer should be 578mi²
Use the following compound interest formula to complete the problem. a = p (1 startfraction r over n endfraction) superscript n superscript t victor has a credit card with an apr of 13.66%, compounded monthly. he currently owes a balance of $1,349.34. assuming that victor makes no purchases or payments, how much will he owe after one year, to the nearest cent? a. $1,349.34 b. $1,533.66 c. $1,545.65 d. $1,364.70
The final amount that Victor will owe after one year, to the nearest cent is given by: Option C: $545.65
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
For this case, we're provided that:
The interest rate is r = 13.66% = 13.66/100 = 0.1366 (converted percent to decimal)
It is compounding monthly, thus, 12 times a year, or n = 12
The initial amount that the credit card of Victor has = p = $1349.34
Time for which interest was compounded = a year = 1 = t
Thus, the final amount that Victor will owe after one year to the nearest cent is calculated as;
[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 1349.34(1 + \dfrac{0.1366}{12})^{12\times 1}\\\\a = 1349.34(1.01138)^{12} \approx 1245.65 \: \rm (in \: dollars)[/tex]
Thus, the final amount that Victor will owe after one year, to the nearest cent is given by: Option C: $545.65
Learn more about compound interest here:
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Answer:
C
Step-by-step explanation:
I took the test and passed with 100
Good afternoon, please help me with this question and if u get it correct ill give u the brainlest
Answer:
5/6
Step-by-step explanation:
it comes out originally like 10/12 but if your simplify it it's 5/6
Answer:5/6
Step-by-step explanation: 12-2 =10 so 10/12 which simplifies to 5/6
is -13/3 rational or irrational
Answer:
It is irrational
Step-by-step explanation:
Hope that helps!
Which of the equations below describes a circle with radius 7? A. x2 - y2 = 7 B. x2 + y2 = 49 C. x2 + y2 = 77 D. x2 + y2 = 7
Answer:
x2-y2=49
Step-by-step explanation:
the radius is the square root of the number after the equal sign. So the only choice with a number with square root 7 is x2-y2=49
(20 points!) (photo attached for context)
Line segment ST is congruent to which line segment?
WILL GIVE BRAINLIEST! Calculate the length of AB
Answer:
x=6.6
Step-by-step explanation:
13:5=x:3
33=5x
33/5=x
6.6=x
Answer:
15.16047 cm
Step-by-step explanation:
notice that the smaller triangles ratio is 3 : 5
so the bigger triangle's bottom side has length 13 cm
so lets multiply 13 by (3/5)
we get 7.8
we can just use pythagorean theorem to find AB
[tex]\sqrt{x} = 7.8^{2} + 13^{2}[/tex]
15.16047 cm
The expression 1/2 bh gives the area of a triangle where b is the base of the triangle and h is the height of the triangle. What is the area of a triangle with a base of 7 cm and a height of 4 cm?
Answer:
The area of a triangle is 14 cm square.
Step-by-step explanation:
Given : The expression gives the area of a triangle where b is the base of the triangle and h is the height of the triangle.
To find : What is the area of a triangle with a base of 7 cm and a height of 4 cm?
Solution :
The area of triangle is
Where,b is the base b=7 cm
and h is the height h=4 cm.
Substitute in the expression,
Therefore, The area of a triangle is 14 cm square.
Please Help Will GIve Brainlest! Locks in 1 Hour!
Answer:
-3.274
Step-by-step explanation:
attached
Hopes this helps
{please mark me brainiest}
Help plsss thankss
what do the coefficients of a quadratic function in standard form reveal about its graph?
Answer:
The coefficient of the quadratic term ,a,determines how wide or narrow the graphs are, and
weather the graph turns upward or downward
Step-by-step explanation:
this is your answer
a equilateral triangle has a perimeter of 21x + 9 what is the length of each side of the triangle?(hint: factor the perimeter)
Answer:
[tex]7x + 3 \\ [/tex]
Step-by-step explanation:
All sides in an equilateral triangle are equal so factor out three and you are left with the length of each side.
[tex]3(7x + 3)[/tex]
Equations, graphs, Slopes and y-intercepts : application
Answer:
[tex]\sf y= \dfrac{1}{2}x-5[/tex]
Explanation:
coordinates taken: (0, -5), (6, -2)slope:
[tex]\rightarrow \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\rightarrow \sf \dfrac{-2--5}{6-0}[/tex]
[tex]\rightarrow \sf \dfrac{1}{2}[/tex]
equation in slope intercept form:
y = m(x) + b [ where "m is slope", "b is y-intercept" ][tex]\sf y= \dfrac{1}{2}x-5[/tex]
Answer:
[tex]y=\frac{1}{2}x-5[/tex]
Step-by-step explanation:
Slope-intercept form: y = mx + b
m = slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
To find slope, we use points on the line.
Here, I will be suing (-6, -8) and (8, -1)
[tex]m=\frac{1-(-8)}{8-(-6)} \\\\m=\frac{-1+8}{8+6} \\\\m=\frac{7}{14}\\\\m=\frac{1}{2}[/tex]
[tex]y=mx+b[/tex]
[tex]y=\frac{1}{2} x+b\\[/tex]
Now, we use either of our points (-6, -8) OR (8, 1) to find b.
I will be using (8, -1):
[tex]y=\frac{1}{2}x+b\\\\-1=\frac{1}{2}(8)+b\\\\-1=4+b\\\\-4-4\\\\-5=b[/tex]
[tex]y=\frac{1}{2}x+b== > y=\frac{1}{2}x-5[/tex]
Check your answer manually: (-6, -8)
[tex]y=\frac{9}{14}x-\frac{29}{7}\\\\-8=\frac{9}{14}(-6)-\frac{29}{7}\\\\-8=\frac{9}{7}(-3)-\frac{29}{7}\\\\-8=-\frac{27}{7}-\frac{29}{7}\\\\-8=-\frac{56}{7}\\\\-8=-8[/tex]
This statement is correct.
*You can also view the attached graph to verify the answer, meaning that those two points should lie on the same line.*
Hope this helps!
Solve the equation and enter the value of x below.
6x + 3 = 27
X=
Answer:
x=4
Step-by-step explanation:
6x+3 = 27
Subtract 3 from each side
6x+3-3=27-3
6x = 24
Divide each side by 6
6x/6 = 24/6
x = 4
Answer:
x=4
Step-by-step explanation:
6x+3=27
6x=24
x=4
what is the volume of a sphere if its radius is 30
Answer:
About 113,097.34 units
Step-by-step explanation:
The volume of a sphere can be found with the equation V = [tex]\frac{4}{3}[/tex]πr³ when r is the radius.
V = [tex]\frac{4}{3}[/tex]πr³
V = [tex]\frac{4}{3}[/tex]π(30)³
V ≈ 113,097.34 units
A software designer is mapping the streets for a new racing game. all of the streets are depicted as either perpendicular or parallel lines. the equation of the lane passing through a and b is -7x 3y = -21.5. what is the equation of the central street pq? a. -3x 4y = 3 b. -1.5x − 3.5y = -31.5 c. 2x y = 20 d. -2.25x y = -9.75
The equation of the central street PQ is -1.5x - 3.5y = -31.5 option (b) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
We have a straight line:
[tex]-7x+3y=-21.5[/tex]
Convert it to the general form given below:
[tex]\rm y=mx+c[/tex]
[tex]\rm 3y=-21.5+7x\\\\ \rm y = \frac{-21.5}{3}+\frac{7}{3}x[/tex] or
[tex]\rm y = \frac{7}{3}x-\frac{21.5}{3}[/tex]
[tex]m = \frac{7}{3}[/tex] (Slope of AB line)
For the slope(m') of the PQ line:
[tex]\rm m'=-\frac{1}{m}[/tex] ( because AB and PQ are perpendicular to each other)
[tex]\rm m' = -\frac{3}{7}[/tex]
We know the:
[tex]\rm (y-y')=m'(x-x')[/tex]
Where (x', y') = (7, 6), we get:
[tex]\rm (y-6)=-\frac{3}{7} (x-7)[/tex]
[tex]\rm 7(y-6)=-3 (x-7)\\\\\rm 7y-42= -3x+21\\\\\rm 7y= -3x+21+42\\\\\rm 3x+7y=63[/tex]
[tex]\rm -1.5x-3.5y=-31.5[/tex] (multiply by -1/2 on both sides)
Thus, the equation of the central street PQ is -1.5x - 3.5y = -31.5
Learn more about the straight line.
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i need help with problem 1
Measure of angle U . Help quick
Answer:
72 degrees
Step-by-step explanation:
all triangles have angles adding up to 180
that does not look like a right triangle
only possible answer is 72
Answer:
angle U = 72°
Step-by-step explanation:
The sum of the internal angles in a pentagon is 540°
[tex]x^{o} +(2x)^{o} +(2x)^{o} +90^{o}+90^{o} =540^{o}[/tex]
[tex](5x)^{o} =540^{o} -180^{o}[/tex]
[tex]x^{o} =\frac{360^{o} }{5} =72^{o}[/tex]
Hope this helps
An office decreases paper waste by
35%. Originally the office produces
w pounds of waste.
Part A
reads forx nights? Which expression represents the
waste reduction?
A. w - 35
B. 1.35w
C. 0.35w
D. w-0.35w
Part B
How much paper waste do they
produce now, if they originally
produced 8 pounds per month?
The expression that represents waste reduction is w - 0.35x.
The paper waste produced now is 5.2 pounds per month.
What is the expression that represents waste production?The exression that represents waste production is the total amount of waste generated less athe reduction in waste.
w - 0.35x
Waste now produced = 8 - 0.35 x 8 = 5.2 pounds
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Please help me with this, I will give brainliest.
find the value of x round to the nearest 10th
use sin, cos, and tan
Answer:
5.9 or 5.85 unrounded
(Geometry)
I don’t know how to prove this
Answer:
Step-by-step explanation:
congruent sides
Answer:
soIve the congcreunt sides
Step-by-step explanation:
then ask ur parents
I need the help with geometry problem
Answer: sqrt(182)
Step-by-step explanation:
Find the domain for the rational function f(x)=x+4/3x-5
Answer:
all real numbers
Step-by-step explanation:
the domain for normal linear and quadratic equations is always all real numbers
I want to know how to find EF and what the answer is.
[tex]\huge\underline\mathtt\colorbox{cyan}{37✅✅✅}[/tex]
Step-by-step explanation:
5x+12=6x+7 (opposite sides of a parallelogram are equal) 12=x+7 (subtract 5x from both sides) x=5 (subtract 7 from both sides) Now put x in any of the equations-- 5(5)+12=37 or 6(5) +7=37Simplify 2b –7+3+4 –+3
Answer:
Hope this helps :-)
Step-by-step explanation:
I don't know which one it is, but the answer to the one in the picture is 4b+14and the answer to the one on brainly is 2b-3Answer:
4b
Step-by-step explanation:
2b+3b-b-7+4+3
4b
I hope this answered it
HELP ME PLEASE
PRETTY PLEASEEEEEEEEEEE
Answer: 718 in^2.
Step-by-step explanation: To find the volume of a cone, you use the following equation:
V = π x r^2 x h x 1/3, where π is approximately 3.14, r^2 is the radius of the cone squared, h is the cone's height, and V is the volume of the cone. Since a cone's volume is one-third of a cylinder's, that's why we multiply by 1/3, in case you're confused about where the 1/3 comes from.
Now, we substitute the following so we can solve this problem:
V ≈ 3.14 x 7^2 x 14 x 1/3.
Now that we've filled in the following, we can solve it:
3.14 x 7^2 ≈ 153.86.153.86 x 14 ≈ 2154.04.2154.04 x 1/3 ≈ 718.01333333.Therefore your answer is 718.01333333 in^2 or rounded to the nearest whole number is 718 in^2.
Let me know if this is right! :)
find the value of (0.81÷0.09)+(0.81÷9)
Answer:
9.09
Step-by-step explanation:
[tex]\frac{0.81}{0.09} + \frac{0.81}{9}[/tex]
= 9 + [tex]\frac{0.81}{9}[/tex]
= 9+ 0.09
= 9.09
I hope this helped!! If so please rate and mark brainliest <3!!
Find the value of x
.
12.5,−10,−7.5,x
; The mean is 11.5
.
Step-by-step explanation:
please mark me as brainlest
Answer:
x = 51
Step-by-step explanation:
If the mean = 11.5, then that means all numbers added together divided by four = 11.5. Let's write this algebraically:
[tex]\frac{12.5+(-10)+(-7.5)+x}{4}=11.5[/tex]
Now, let's solve for x:
[tex]12.5-10-7.5+x=11.5(4)[/tex]
[tex]-5+x=46[/tex]
[tex]x=51[/tex]
I hope this helps!