Answer:
Becky is 7 years old.
Step-by-step explanation:
Let b - Becky's age
Equation - 3b = 21
Divide both size by 3 to isolate the variable.
21/3 is 7.
If Johnny is 21 years old he is three times as old as Becky then age of Becky is 7 years.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Johnny is 21 years old
Johnny is three times as old as Becky.
We have to find the age of Becky.
Let x be the age of Becky.
As Johnny is three times as old as Becky.
We can write the equation as below
21=3x
Divide both sides by 3
7=x
Hence, if Johnny is 21 years old he is three times as old as Becky then age of Becky is 7 years.
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John is creating a Thanksgiving display at the store where he works, using
needs to maintain a ratio of pumpkin to green beans of 5 to 2. If he wants a total of 140 cans how many cans of green
beans should he use?
Please help meeeeee I suck at math
Answer:
Option E) 832.9km2
Step-by-step explanation:
The total area of the circle:
[tex]A=\pi r^{2} =\pi (24.5)^{2} =1885.7km^{2}[/tex]
The proportion of the blank region:
[tex]\frac{(67)(3)}{360} =0.558333[/tex]
Then the proportion of the shaded region is:
[tex]1-0.558=0.441667[/tex]
Extract this proportion from the total area
[tex](1885.7)(0.441667)=832.85=832.9km^{2}[/tex]
Hope this helps
x is a normally distributed variable with a mean of 32 and a standard deviation of 19 what is P(x<63)
Answer:
94.8 %
Step-by-step explanation:
mean 32 + 1.63 * SD = 63
Z-score for 1.6316 is .9484 94.8 % are < 63
need help asap will give brainlist
Answer:
4th option
Step-by-step explanation:
using the rule of exponents
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]
then
[tex](5)^{\frac{7}{3} }[/tex] = [tex]\sqrt[3]{5^{7} }[/tex]
Answer:
[tex]\sqrt[3]{5^{7} }[/tex]Step-by-step explanation:
Given
[tex]5^{\frac{7}{3} }[/tex]Rule
[tex]a^{\frac{x}{y} } = \sqrt[y]{a^{x} }[/tex]Here,
a = 5x = 7y = 3So, on subsituting :
[tex]\sqrt[3]{5^{7} }[/tex]The diagram below shows a sign that Annie designed. It is made of two circles that share the same center. Annie wants to use string to create a border around the outermost edge of the sign. About how many inches of string does Annie need?
132 in
Step-by-step explanation:
Take the total radius = 18+3 = 21= R (say) Simply use the formula for the circumference i.e. 2*pi*R2*22/7*21= 132Vikram drinks 6/10 of a liter of water after gym class and 33/100 hours of a liter of juice with
his lunch. Vikram says he drank a total of 39/100
of a liter.
Use the drop-down menus to explain why Vikram is not correct.
The Vikram is not correct as he said that he drank a total of 39/100
of a liter in gym class and in his lunch, but he drank a total of 39/100 of a liter.
What is the fraction number?A fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,
[tex]\dfrac{a}{b}[/tex]
Here (a) is the numerator and (b) is the denominator.
Vikram drinks 6/10 of a liter of water after gym class and 33/100 hours of a liter of juice with his lunch.
Thus, the total amount he drank is,
[tex]n=\dfrac{6}{10}+\dfrac{33}{100}\\[/tex]
Take the LCM 100, to solve it further,
[tex]n=\dfrac{60+33}{100}\\n=\dfrac{99}{100}\\[/tex]
Now, Vikram says he drank a total of 39/100 of a liter, which is an incorrect claim.
Thus, the Vikram is not correct as he said that he drank a total of 39/100
of a liter in gym class and in his lunch, but he drank a total of 39/100 of a liter.
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how do you find the length of a line
Answer:
You use the most important and sacred tool: ruler
Answer: By measuring with tape or ruler
Step-by-step explanation:
use properties of logarithms to expand the logarithmic expression as much as possible.
help please!
Step-by-step explanation:
Begin by separating the division. Division in the argument of a logarithm function is equivalent to subtracting the log of the numerator and denominator:
[tex]ln( \frac{ {x}^{9} \sqrt{ {x}^{2} + 7} }{ {(x + 7)}^{7} } ) = ln( {x}^{9} \sqrt{ {x}^{2} + 7 } ) - ln(( {x + 7})^{7} )[/tex]
Multiplication under a logarithm means addition:
[tex] ln( {x}^{9}) + ln( \sqrt{ {x}^{2} + 7 }) - ln(( {x + 7})^{7} )[/tex]
Log rules say that exponents can be dragged to the front as coefficients:
[tex]9ln(x) + \frac{1}{2} ln( {x}^{2} + 7) - 7ln(x + 7)[/tex]
solve for x 0 = 3x - 21
simplify the following fraction:
18
__
40
Answer:
9/20
Step-by-step explanation:
As an estimation we are told £3 is €4.
Convert €85.10 to pounds.
Give your answer rounded to 2 DP.
Answer:
To solve the above problem we will use the unitary method as follows
As estimated If £ 3 is equivalent to € 4
Then, £ 1 will be equivalent to = € \frac{4}{3}
£ 64.60 will be equivalent to = € \frac{4}{3} \times 64.60 = 1.3333 \times 64.60 = 86.1311
Now you have to round the answer up to 2 decimal points to get the final answer
€ 86.1311 ≈ € 86.13
Thus, £ 64.60 is approximately equal to € 86.13.
Step-by-step explanation:
hope this helps if not let me now
? Don't Send links, don't Write random things and get the points for free.
Answer:
[tex]V = 1847.26\ ft^3[/tex]
Step-by-step explanation:
Step 1: Determine the volume
[tex]V=\pi r^2h[/tex]
[tex]V = \pi *(7\ ft)^2 * (12\ ft)[/tex]
[tex]V = \pi *49\ ft^2 * 12\ ft[/tex]
[tex]V = \pi * 588\ ft^3[/tex]
[tex]V = 1847.26\ ft^3[/tex]
Answer: [tex]V = 1847.26\ ft^3[/tex]
Answer:
Step-by-step explanation:
volume
A pyramid has a square base. The base edge is one-half of the height of the pyramid. If the base edge is 6 units, what is the volume of the pyramid
Answer:
144 cubic units
A bag contains eight balls labeled 1 through 8. One ball will randomly be picked. What is the probability of picking an even number?
Answer:
Answer: 50 percent or 1/2
Please help!! Will mark brainlyest.
Answer:
It would be (3,0) its in the 1st grid and if you rotate it 90 degrees its now in the second grid which flips the sign on the x value.
Step-by-step explanation:
What is the percent of change from
65 to 52?
Round to the nearest percent.
Answer:
20%
Step-by-step explanation:
[tex]\frac{52-65}{65}[/tex] * 100% = -20%
Please help! Both problems are below and please make sure to answer both! Will give brainiest if possible!
Answer:
picture a is 180⁰ clockwise or counterclockwise (c)
picture b is 90⁰ counterclockwise (b)
Step-by-step explanation:
hope this helps :)
Answer:
A and B
Step-by-step explanation:
The first one is 180 clockwise…
Second picture is 90 counterwise.
I hope thi help and have a good day.
Select the correct answer.
Which of these graphs represents a function?
Answer:
the answer is w. this is a linear function that is increasing over time.
Step-by-step explanation:
Find the measure of angle CED in the figure below. Enter only the number.
Answer:
∠CED = 58°
Step-by-step explanation:
Clearly, we can see that ∠AED and ∠CED are a linear pair. Therefore:
∠AED + ∠CED = 180°Definition of Linear pair: A linear pair is two angles that form a 180 angle.
We are given that:
∠AED = 122°Therefore, when we substitute the measure of ∠AED, we get;
122° + ∠CED = 180°This problem is now an algebraic problem. Simply isolate ∠CED on one side of the equation to determine the measure of ∠CED. This can be done by subtracting 122 both sides of the equation.
∠CED = 180° - 122°∠CED = 58°Therefore, the measure of ∠CED is 58°.
The measure of angle CED is 58° adjacent to the angle AED.
What is a linear pair of angles?A pair of linear angles are adjacent to each other whose sum is 180°.
Given, a measure of the angle AED is 122°
We know the measure of linear pair of angles is 180°.
∴ m∠AED + m∠CED = 180°.
122° + m∠CED = 180°.
m∠CED = 180° - 122°.
m∠CED = 58°.
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Find the amount of time. I=$237. 90, P=$1525, r=2. 6%
Find the amount of time. __ Years
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$237.90\\ P=\textit{original amount deposited}\dotfill & \$1525\\ r=rate\to 2.6\%\to \frac{2.6}{100}\dotfill &0.026\\ t=years \end{cases} \\\\\\ 237.90 = (1525)(0.026)(t)\implies \cfrac{237.90}{(1525)(0.026)}=t \implies 6=t[/tex]
What is the height of the triangle?
Will mark brainlyest!!
Answer:
2 square units
Step-by-step explanation:
just count the squares that go up
Powwows were, and still are a part of Native American life.
TRUE
FALSE
Which of the following is the graph of f(x) = -0.5x + 3| -2?
If you mean
y=|-0.5x+3|-2The graph has been attached
If that modulus sign is typing mistake then
The yielded function is
y=-0.5x+3-2y=-0.5x+1Both graphs attached
A line passes through point (-8,-2) and has a slope of -3/2. Write an equation in Ax+By=C form for this line. Use integers for A, B, and C.
Answer:
A= 3/2, B = 1, C = -14
Step-by-step explanation:
Using the point-slope form we can plug in your point and slope.
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-2)=-3/2(x-(-8))[/tex]
[tex]y+2=-3/2(x+8)[/tex]
Distribute -3/2
[tex]y+2=-3/2x-3/2*8[/tex]
[tex]y+2=-3/2x-12[/tex]
Get y by itself by subtracting 2 to both side.
[tex]y=-3/2x-14[/tex]
[tex]3/2x+y=-14[/tex]
A = 3/2 , B = 1 , C= -14
What is the value of n?
Enter your answer in the box
7 cm
4 cm
8 cm
n
Answer:
n=14
Step-by-step explanation:
To find the length of the given side with length "n", we must know the relationship between the different sections when the chords cross one another.
Now, the relationship we require is that when we multiply the 2 parts of both chords together, it will be equal to the product of the two sides in the other chord. Thus;
7(8) = 4(n)
56 = 4n
14 = n
Thomas rolled a number cube with sides labeled 1 through 6. What is the
probability that Thomas rolled either a 2 or a 5?
A 1/6
B 1/3
C 1/2
D 4/6
Answer:
b
Step-by-step explanation:
He has a probability of 2 over 6 to roll 2 or 5 bc it's 2 numbers out of 6 simplify 2 over 6 and you get 1 over 3
3. Which of the following points is not on the graph of y = 2x² + 3x - 10? (4,30) (6,80) (-9, 125) (-3,-1) A
Answer:
biside of A
Step-by-step explanation:
thats is the answers
1. Let the sample space represent all the values from 1 to 10. Let A = {1, 2, 8} and B = {2, 7}. What is the P(A ∩ B)?
A [tex]\cap[/tex] B denotes to all common elements in both A and B
Sample space=S={1,2,3,4,5,6,7,8,9,10}So
A={1,2,8}B={2,7}2 is common
Hence
A $\cap$ B={2}
Answer:
P(A ∩ B) = 1/10
Step-by-step explanation:
Given:
Sample space (S) = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}A = {1, 2, 8}B = {2, 7}We can represent this information in a Venn diagram (see attachment 1).
As there are 10 equally likely outcomes (which must add up to 1), the probability of each outcome is 1/10.
Therefore, we can redraw the Venn diagram with the probabilities instead of the values (see attachment 2).
P(A ∩ B) means the probability of events A and B happening together, so it is the section of the diagram where events A and B overlap.
Therefore, P(A ∩ B) = 1/10
PLEASE HELP I WILL GIVE BRAINLIEST I REALLY NEED IT
Given: ABCD is a trapezoid,
AD=10, BC=8,
CK- altitude of triangle ACD =30
Find: the area of ABCD
To find the area of the trapezoid we need to find the height of the trapezoid.
TrapezoidA trapezoid is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.
Area of TrapezoidThe area of a trapezoid is given as half of the product of the height(altitude) of the trapezoid and the sum of the length of the parallel sides.
\rm{ Area\ of\ trapezoid = \dfrac{1} {2}\times height \times (Sum\ of the\ parallel\ Sides)
The area of the trapezoid is 54 units².
Given to us :ABCD is a trapezoid
AD=10, BC = 8,
CK is the altitude altitude
Area of ∆ACD = 30
Area of ∆ACD,In ∆ACD,
\begin{gathered}\rm { Area\ \triangle ACD = \dfrac{1}{2}\times base\times height\\\\\ \end{gathered}
Substituting the values,
30 = 1/2 * AD × CK
30 = 1/2 * 10 × CK
(30 * 2)/10 = CK
CK = 6 units
Area of Trapezoid ABCD\rm{ Area\ of\ trapezoid = \dfrac{1} {2}\times height \times (Sum\ of\ the\ parallell Sides)
Area ABCD = [tex] \frac{1}{2} \times ck \times (ad + bc)[/tex]
Area ABCD = [tex] \frac{1}{2} \times 6 \times (10 + 8)[/tex]
Area ABCD = [tex] \frac{1}{2} \times 6 \times (18)[/tex]
Area ABCD = 54 units²
Hence, the area of the trapezoid is 54 units².
please answer this...
Step-by-step explanation:
8. Simple random sample
9. Stratified Sample
10. Convenience Sample