Answer:
12 years old
Step-by-step explanation:
3x+5=41
3 times a number and 5 more
'more' usually means adding
41-5 =36
36/3 =12
Answer:
Equation: 41 = 3x + 5
x = 12
Step-by-step explanation:
Hello!
Betty is 5 more than 3 times Jadyn's age. Since Jadyn's age is unknown, we'll call that unknown variable x.
Betty is 5 more than 3 times x. Betty is also 41 years old.
Equation: 41 = 3x + 5
Now we have to solve for x
Solve for x:
41 = 3x + 536 = 3xx = 12
Jadyn is 12 years old.
Using the Rule of 72, how long would it take for Anthony to double his investment of $5,000 in a
money market account that earns 7% per year?
Answer: About 10.2857 years
=============================================================
Explanation:
For the rule of 72, we divide the number 72 over the interest rate without the percent sign. We do not convert to decimal form. Simply erase the percent sign.
For example, if the interest rate was 6%, then we estimate it would take 72/6 = 12 years for the amount to double.
In this case of a 7% interest rate, the doubling time is roughly 72/7 = 10.2857 years.
-------------
Extra Notes:
The starting deposit doesn't matter, so we can ignore the "5000". The interest rate must stay the same the entire time.The mathematic department of a college has 14 male professors, 12 female professors , 14 male teaching assistants , and 11 female teaching assistants. If a person is selected at random from the group, find the probability that the selected person is a
Professor or a male
The probably be an integer or a traction Simptly you answer)
Answer:
Male
Step-by-step explanation:
There are 28 males and 26 professors so you are more likely to choose a male rather than professor of any other gender!
Please any one help me
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Since it's a Trapezoid with its non - parallel sides equal to one another,
[tex]\qquad \sf \dashrightarrow \:\angle A + \angle P = 180[/tex]
[ By forming co - interior angle pair ]
[tex]\qquad \sf \dashrightarrow \:\angle A +100 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \:\angle A = 180 - 100[/tex]
[tex]\qquad \sf \dashrightarrow \:\angle A = 80 [/tex]
Now, similarly,
[tex]\qquad \sf \dashrightarrow \:\angle A + \angle R = 180[/tex]
[tex]\qquad \sf \dashrightarrow \: \angle R + 80 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \: \angle R = 100[/tex]
Similarly,
[tex]\qquad \sf \dashrightarrow \angle K + \angle R = 180[/tex]
[tex]\qquad \sf \dashrightarrow \angle K + 100 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \angle K = 80[/tex]
Consecutive angles are supplementary
<A+100=180<A=80°Opposite angles are equal
<R=<P=100°Opposite angles are equal again
<K=<A=80HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPp
Answer:
76 in^2
Step-by-step explanation:
2 rectangles on the sides: 64 in^2
8x4 = 32
32x2 = 64
rectangle in the middle: 12 in^2
4x3 = 12
altogether area: 76 in^2
64+12 = 76
Two person Pratham and Roshan are 64 km apart. If they walk in opposite direction then they will meet in 4 hours and in the same direction they will meet in 16 hours. Find their separate velocity.
Using the relation between velocity, distance and time, it is found that:
Pratham has a velocity of 10 km/h.Roshan has a velocity of 6 km/h.What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
In opposite directions, the relative velocity is [tex]v = v_1 + v_2[/tex], and the 64 km are run in 4 hours, hence:
[tex]v_1 + v_2 = \frac{64}{4}[/tex]
[tex]v_1 + v_2 = 16[/tex]
[tex]v_1 = 16 - v_2[/tex]
In the same direction, the relative velocity is [tex]v = v_1 - v_2[/tex], and the 64 km are run in 16 hours, hence:
[tex]v_1 - v_2 = \frac{64}{16}[/tex]
[tex]v_1 - v_2 = 4[/tex]
Since [tex]v_1 = 16 - v_2[/tex]:
[tex]16 - v_2 - v_2 = 4[/tex]
2v2 = 12.
v2 = 6.
v1 = 16 - 6 = 10 km/h.
Hence:
Pratham has a velocity of 10 km/h.Roshan has a velocity of 6 km/h.More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
Given g(x)=xpower of 2-6x-16,which statement is true?
For the given function g(x)=xpower of 2-6x-16, the statement which is true, is the zeros are -2 and 8 because the factor of g are (x+2) and (x-8).
What is a quadratic function?A quadratic function is the function in which the unknown variable is one and the highest power of the unknown variable is two.
The standard form of the quadratic function is,
[tex]f(x)=ax^2+bx+c[/tex]
Here,(a,b, c) is the real numbers and (x) is the variable.
The quadratic function given in the problem is,
[tex]g(x)=x^2-6x+16[/tex]
Factorized it with split the middle term method,
[tex]g(x)=x^2-6x-16\\g(x)=x^2-8x+2x-16\\g(x)=x(x-8)+2(x-8)\\g(x)=(x-8)(x+2)[/tex]
Equate the factors of the function, to find the zeros,
[tex]x-8=0;x=8\\x+2=0;x=-2[/tex]
Hence, for the given function g(x)=xpower of 2-6x-16, the statement which is true, is the zeros are -2 and 8 because the factor of g are (x+2) and (x-8).
Learn more about the quadratic equation here;
https://brainly.com/question/1214333
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An event has a probability of 1/2. How would you best describe the likelihood of this event? (Hint: Change it to a decimal)
A. Impossible
B. Less likely
C. Equally likely
D. More likely
E. Certain
Answer:
C. Equally likely
Step-by-step explanation:
1/2=0.5=50% probability
your answer should be a polynomial in standard form. -t(-4t^3+8t^2)=
is there any answer choices
if the premium for same day shipping is 200%. what is the cost to ship 2200 lbs of goods from Dallas to Nashville using same day shipping? if the answer is d.$15,840 what is the appropriate formula to solve?
from Chicago to Atlanta is 700 miles, so in plain-vanilla shipping costs for that will be $240 per every 100 lbs.
if we're shipping 2,000 lbs, hmmm that's 2000/100 = 20, so 100 lbs 20 times, so our plain-vanillla cost will be 20 * 240 = 4800 bucks.
Now, we're Da Bomb, and hell, why not, let's ship it on a 3-5 day, but that has a Premium of an extra 20%, hmmm that means our cost using 3-5 days service is 4800 + 20%.
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 4800}}{\left( \cfrac{20}{100} \right)4800}\implies 960~\hfill \underset{final~cost}{\stackrel{4800~~ + ~~960}{5760}}[/tex]
People help me !!!!!!
Answer:
A
Step-by-step explanation:
Find Θ from the problem by using arcos. Find that Θ=64.158....
plug this into cos(Θ) and find that cos(Θ)= [tex]\frac{\sqrt{19} }{10}[/tex] or 0.43589. A is the only answer choice with this so it must be correct.
Find the missing angle.
Answer:
y=51, z and x= 129
Step-by-step explanation:
its complicated, but try to think of it as 51 and x/z are complementary angles, meaining they are on the same line, which means they equal 180, which makes this easier to solve meaning all you have to do is subtract 180-51=129.
Fatima will go to the swimming pool 15 days this month. A one day pass is $2.25. A monthly pass is $25. How much money will Fatima save by buying a monthly pass?
A. $33.75
B. $8.75
C. $7.75
D. $6.00
Answer:
B. 8.75
Step-by-step explanation:
7. Are the given functions inverses? Why or why
not?
y = (x - 2)2 + 4
f-1(x) = +Vx – 4 + 2
Answer:
x=1 it is not inverse
Can someone please help me
Answer:
A. 9.0 seconds
Step-by-step explanation:
Pleaseeeeeeee i need some help hereeeeeeee
Answer:
Attached image
Step-by-step explanation:
Convert 3/4 to 6/8, then count out the points on the line for each number to plot it.
Answer:
There are 8 tick marks, so......
2.75 would go on the 6th tick mark between 2 and 3
1.625 would go on the fifth mark between 1 and 2
For clarification, I have graphed it out below!
Hope this helps!
I got a question saying 1 Billon times 43 Millon, how is anyone appost to know this
[tex]1000000000 \times 43000000 = 43000000000000000[/tex]
Are the expressions 5(3a+2) and 15a+2 equivalent? Justify your answer.
SOLVE equations, SHOW WORK, AND EXPLAIN
Answer:
They are not equivalent.
Step-by-step explanation:
5(3a+2)=15a+10
15a+10≠15a+2
Answer:
not equivalent.
Step-by-step explanation:
5(3a+2). multiply the 5 into the parenthesis, so multiply it by both numbers.
15a+10≠15a+2
if you wanted to go further, since 15a is equivalent, just take it out.
10≠2
5. Mount Logan in the Yukon is 3. 702 miles high. Mount McKinley in Alaska is 3. 848 miles high and Pico de Orizaba in Mexico is 3. 571 miles high. Order these mountains by height from greatest to least. *
1 point
Logan, McKinley, Pico de Orizaba
McKinley, Logan, Pico de Orizaba
Pico de Orizaba, Logan, McKinley
Logan, Pico de Orizaba, McKinley
Answer:
McKinley, Logan, Pico de Orizaba
Step-by-step explanation:
What are the slope and y-intercept of the line y=x+3?
slope
y-value of y-intercept
What is the slope of the line that contains these points?
2
13
14
15
16
y
11
6 1 -4
slope:
Answer:
-5
Step-by-step explanation:
formula of slope is
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
y2 is the second y value
y1 is the first y value so you get
[tex] \frac{6 - 11}{14 - 13} [/tex]
that leaves you with -5 /1 which can be written as -5
-5
Step-by-step explanation:The slope is rise over run. In other words, it is the change in y divided by the change in x.
Slope Formula
The formula for slope is [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]. This will give the the difference in y-values divided by the difference in x-values. To find the slope, plug in the values.
Final Slope
The y-value decreases by 5 as the x-value increases by 1. This means that the slope must be -5/1. This can be rewritten as -5.
Please help me with this please and thank you
Answer:
Step-by-step explanation:
Answer A represents an exponential equation; see below for a demo.
In Answer A we have (1, 3), (2, 3²), (3,3³)
Distribute to create an equivalent expression with the fewest symbols possible.
6(5x -3) =6 helpppp
Answer:
x=4/5
Step-by-step explanation:
Add 18 to both sides and simplify
The sum of two numbers is 39. The larger number is 11 more than the smaller number. What are the numbers?
Larger number: ?
Larger number: ?
Answer:
Larger number = 25
Smaller number = 14
Step 1. Establish variables and system of equations
Larger number = x
Smaller number = y
&
x + y = 39
y + 11 = x
Step 2. Isolate a variable in ONE equation
x + y = 39
y = 39 - x
Step 3. Substitute that into the OTHER equation to find x
y + 11 = x
(39 - x) + 11 = x
50 - x = x
50 = 2x
25 = x
Step 4. Substitute that into the OTHER equation to find y
x + y = 39
(25) + y = 39
y = 14
Hope this helps!
Select all the expressions whose value is larger than 100.
a. 120% of 100
b. 50% of 150
c. 150% of 50
d. 20% of 800
e. 200% of 30
f. 500% of 400
g. 1% of 1,000
Answer: A, D, F
Step-by-step explanation: A: 120 B: 75 C: 75 D: 160 E: 60 F: 2000
G: 10
what is the area and radius of a 10 inch circle?
Answer:
A circle of radius = 10 or diameter = 20 or circumference = 62.83 inches has an area of: 2.02709 × 10 -7 square kilometers (km²) 0.202709 square meters (m²) 2027.09 square centimeters (cm²)
Step-by-step explanation:
The graph represents a cubic function. Write the function.
Zeros are
(0,0)(-3,0)(-4,0)Write in factor form and solve
(x-0)(x-(-3))(x-(-4))=0x(x+3)(x+4)=0x[x(x+4)+3(x+4)]=0x(x²+4x+3x+12)=0x(x²+7x+12)=0x³+7x²+12x=0Points given (-2,16)
Solve for n
n(x³+7x²+12x)=yOn solving we get
n=-4So the function is
y=-4(x³+7x²+12x)y=-4x³-28x²-48xAnswer:
-4x³ - 28x²- 48x
Explanation:
x-intercept: (-4, 0), (-3, 0), (0, 0)→ so equation: a(x+4)(x+3)(x+0)
point given: (-2, 16)→ substitute these points to find a
a(-2+4)(-2+3)(-2) = 16a = -4so the graphed cubic equation:
-4(x+4)(x+3)(x+0)-4x³ -28x²-48xWhich statements are true about triangle PRS? Select THREE options.
A shipping container has a base area of 25.5 square yards and a height of 3.5 yards.
What is the volume of 3 of these shipping containers?
Enter your answer as a decimal in the box.
The volume of 3 of shipping containers 267.75 cubic yards.
We need to find the volume of one shipping container and then multiply it by 3 to find the volume of three shipping containers.
Find the volume of one shipping container.
Volume = Base Area × Height
Volume = 25.5 square yards × 3.5 yards
Calculate the volume.
Volume = 89.25 cubic yards
Find the volume of three shipping containers.
Total Volume = Volume × Number of Containers
Total Volume = 89.25 cubic yards × 3
Calculate the total volume.
Total Volume = 267.75 cubic yards.
For similar question on volume.
https://brainly.com/question/12410983
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John Travolta flew his plane last weekend. What would be the angle measure of∠x when his plane reached an altitude of 2500m?
Answer:
67°
Step-by-step explanation:
Ignore the 2500m for now.
To find angle x, we know that the sum of the degrees in a triangle is 180. We see that under the 2500m there is a square, indicating that the angle is 90 degrees.
So we can do 180-23-90 = 67.
Therefore, the angle measure of ∠x is 67°
What's the value f x?
[tex]5x-6=3x-8[/tex]
Answer:
-1Step-by-step explanation:
Given equation,
⇒ 5x - 6 = 3x - 8
Subtracting 3x from both sides :
⇒ 5x – 6 – 3x = 3x – 8 – 3x
⇒ 2x – 6 = – 8
Adding 6 to both sides we get :
⇒ 2x – 6 + 6 = – 8 + 6
⇒ 2x = – 2
Dividing both sides by 2 we get :
⇒ 2x/2 = – 2/2
⇒ x = – 1
Therefore,
The value of x is -1Answer:
[tex]\sf \boxed{\bold{x=-1}}[/tex]
Solving Stepwise:
[tex]\dashrightarrow \sf 5x-6=3x-8[/tex]
add 6 on both sides
[tex]\dashrightarrow \sf 5x-6+6=3x-8+6[/tex]
simplify
[tex]\dashrightarrow \sf 5x=3x-2[/tex]
subtract both sides by 3x
[tex]\dashrightarrow \sf 5x-3x=3x-2-3x[/tex]
simplify
[tex]\dashrightarrow \sf 2x=-2[/tex]
divide both sides by 2
[tex]\dashrightarrow \sf \dfrac{2x}{2} =\dfrac{-2}{2}[/tex]
simplify
[tex]\dashrightarrow \sf x =-1[/tex]
Check for the answer:
insert x = -1
[tex]\hookrightarrow \sf 5(-1)-6=3(-1)-8[/tex]
[tex]\hookrightarrow \sf -5-6=-3-8[/tex]
[tex]\hookrightarrow \sf -11=-11[/tex]
L.H.S = R.H.S. Hence the statement x = -1 is correct.