b = number of beetles
r = number of birds
s = number of spiders
"She has an equal number of beetles, birds and spiders". That means b = r = s. They all stand in for the same number, and that number being some positive whole number.
One spider has 8 legs, so s of them have 8s legs. One beetle has 6 legs, so b of them have 6b legs. One bird has 2 legs, so r birds have 2r legs.
In total, all of the animals have 6b+2r+8s legs. We'll replace r and s with b, since earlier we were given that b = r = s.
So we end up with:
6b+2r+8s
6b+2b+8b
(6+2+8)b
16b
The number of legs of all the animals is equal to 16 times the number of beetles. Set this equal to 270 and isolate b
16b = 270
b = 270/16
b = 16.875
We run into a problem. It's not possible to have the variable b equal to a non-whole decimal number like this. It's possible your teacher made a typo somewhere. I would ask them for clarification.
THERE IS 2 QUESTIONS PLEASE HELP ME!
Answer:
Number 2 is 3:4.
Number 1 is d.
Step-by-step explanation:
Boxers and collies added together gives you 12:16. Divide them both by 4 and you get 3:4.
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The number of student in class 4 (6) divided by the total number of kids in the entire class (18) gives you 0.33333333333. Multiply that by 100 and it gives you 33.3333333333. As a percentage it is 33 1/2 %
Find the answer for x
Answer:
I think the answer is 75.
Step-by-step explanation:
because 35 + 70 is equal to 105. So now we will just subtract 105 by 180. which will give us 75.
Whats the area of this thing
Answer:
341 in sq
Step-by-step explanation:
When you are finding the area of trapezoids you have to do b1+b2/2 times height because there are two bases you have to include them both so adding 40 and 22 gives 62 and you have to divide that by 2 because the numbers will be too big and way off so 62/2 = 31 and you multiply that by the height to get 341 in sq. Hope it helps :P
Someone plz help meeeee!!!!
find the area of the shape shown below units 2
Answer:
81
Step-by-step explanation:
go hgv thx bgg TV vvt g h.c g ccx d
5
Select the correct answer.
A circle has a radius of 6 inches and a central angle of 60°. What is the measure of the arc length associated with this angle?
ОА.
67 inches
B. 7 inches
OC, 24 inches
D.
37 inches
Reset
Next
Answer:
The length of the arc is 6.28 inches
Step-by-step explanation:
Given
[tex]\theta = 60[/tex]
Required
Length of the arc
This is calculated as:
[tex]L = \frac{\theta}{360} * 2\pi r[/tex]
So, we have:
[tex]L = \frac{60}{360} * 2 * \frac{22}{7} * 6[/tex]
[tex]L = \frac{15840}{2520}[/tex]
[tex]L = 6.28in[/tex]
CRISSY IS BUILDING A RECTANGULAR PRISM WITH
A VOLUME OF 360 CUBIC UNITS. THE HEIGHT OF
THE PRISM IS IO UNITS. CHRISSY CLAIMS THAT THE
BASE OF THE PRISM MUST BE A SQUARE. WHAT
ARE THE DIMENSIONS FOR A RECTANGULAR PRISM
THAT SHOWS CRISSY IS NOT CORRECT?
Answer: Crissy is correct
Step-by-step explanation:
Given
The volume of the rectangular prism is [tex]360\ units^3[/tex]
The height of the prism is [tex]h=10\ units[/tex]
Suppose A is the area of the base
So, the volume is given by
[tex]\Rightarrow V=A\times h[/tex]
Insert the values
[tex]\Rightarrow 360=A\times 10\\\Rightarrow A=36\ \text{or}\ 6\times 6\ units^2[/tex]
As 36 is the perfect square of 6, therefore, the base is a square with the dimension of [tex]6\times 6\ units^2[/tex]
Crissy's claim is correct.
Jonathan's preschool class has 9 girls and 6 boys. Which proportion can be used to determine the percent, P, of boys in class?
A) 6/15 = P/9
B) P/6 = 100/15
C) P/100 = 6/9
D) P/100 = 9/15
Answer:
B
Step-by-step explanation:
you are comparing percent to percent and total boys to total class.
Answer:
P/100=6/9
Step-by-step explanation:
P represent percentage and percentage is 100. so
How do you find X and Y?
4y + 5z = 60
5x + 3y = 60
4x + 3z = 60
Answer:
1. y=5 x=8
2. x=9 y=5
3. x=12 z=4
Step-by-step explanation:
1. 4(5)+5(8)=60
2. 5(9)+3(5)=60
3. 4(12)+3(4)=60
Solve for x, rounding to the nearest hundredth.
6 - 10x= 1
peeeeeeeeeeeeeeeeeeeeeeeeeenas
What is the solution to this equation?
8(25 +1 = 4
СА.
In(0.5)
T =
- 1
OB.
Ос.
In(0.5) + 1
2
In(0.5)
+1
2
In(0.5) - 1
OD
Answer:
Option (D)
Step-by-step explanation:
Given equation is,
[tex]8e^{2x+1}=4[/tex]
Taking natural log on both the sides of the equation,
[tex]\text{ln}(8e^{2x+1})=\text{ln}(4)[/tex]
[tex]\text{ln}(2^3)+\text{ln}(e^{2x+1})=\text{ln}(2^2)[/tex]
3ln(2) + (2x + 1)[ln(e)] = 2ln(2)
2n(2) - 3ln(2) = (2x + 1)
2x = -ln(2) - 1
[tex]2x=\text{ln}(\frac{1}{2})-1[/tex] [Since, -ln(2) = ln(1) - ln(2) = [tex]\text{ln}(\frac{1}{2})[/tex]]
[tex]2x=\text{ln(0.5)}-1[/tex]
[tex]x=\frac{\text{ln(0.5)-1}}{2}[/tex]
Therefore, Option (D) will be the correct option.
3
Select the correct answer from the drop-down menu.
Find the missing term.
) + (7 - 31) + (5 +91) + 131 = 10 - 51.
Reset
Next
Find m RS
Please please this is on my final !
Answer:
[tex] \large{ \tt{☄ \: STEP- BY - STEP \: EXPLANATION}} : [/tex]
Observing the figure , We can see chord RS & TU equal. We're provided the value of RS i.e ( 6x - 28 ) ° & TU i.e ( 4x + 20 )°. Now , Just set up an equation & solve for x ![tex] \large{ \bf{❃ \: (6x - 28) \degree = (4x + 20) \degree}}[/tex]
[tex] \large{ \bf{↬6x - 28 \degree = 4x + 20 \degree}}[/tex]
[tex] \large{ \bf{↬ \: 6x - 4x = 20 \degree + 28 \degree}}[/tex]
[tex] \large{ \bf{↬2x = 48 \degree}}[/tex]
[tex] \large{ \bf{↬x = \frac{48 \degree}{2}}} [/tex]
[tex] \large{ \bf{↬ \boxed{ \bf{x = 24 \degree}}}}[/tex]
Now , Replacing the value of x :[tex] \large{ \bf{⇢m \: RS = (6x - 28) \degree = (6 \times 24 - 28) \degree = \boxed{ \bf{116 \degree}}}}[/tex]
[tex] \large{\boxed{ \boxed{ \tt{⟿ \: OUR \: FINAL \: ANSWER : \boxed{ \underline{ \bf{116 \degree}}}}}}}[/tex]
[tex] \large{ \tt{✺ \: STUDY \: TIP}} : [/tex]
Work consistently. Do your homework , read over your notes and revise for each test / quiz - no matter how insignificant !ツ Hope I helped! ۵
☼ Have a wonderful day / evening ! ☃
# StayInAndExplore ! ☂
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(Help please !)
Of the total babies born in America, 51.2% are boys. If 3000 babies are born in a certain hospital this year, what is the expected number of boys?
Answer:
1536 boys.
Step-by-step explanation:
Quite simple! 51.2% is 0.512, which we can use to calculate the number.
[tex]3000 * 0.512 = 1536[/tex] boys.
Alternative notation: 3000 * 51.2% = 1536
How do we solve for x
Answer:
Use Cross product Or Multiply both sides by 6 to get x alone
x/6 = 4/5
Multiplying 6 on both sides
we have
x=4/5 x 6
x=24/5 = 4.8
100 points. You earned $1600 in interest in your savings account over 10 years at a rate of 8%. How much money did you originally deposit into your savings account?
A = p(1+r)^t
1600 = p(1+0.08)¹⁰
P = 1600/2.1589
P= 741.12
741.12 dollar money did you originally deposit into your savings account!
Answer:
Simple interest: Principal = $2000
Annual compound interest: Principal = $1380.59
Step-by-step explanation:
As the question does not stipulate which type of interest was applied, please find below calculations for both simple interest and annual compound interest.
Simple Interest Formula
I = Prt
where:
I = interest accruedP = principalr = interest rate (in decimal form)t = time (in years)Given:
I = $1600r = 8% = 0.08t = 10 yearsSubstitute the given values into the formula and solve for P:
[tex]\implies \sf 1600=P(0.08)(10)[/tex]
[tex]\implies \sf 1600=0.8P[/tex]
[tex]\implies \sf P=\dfrac{1600}{0.8}[/tex]
[tex]\implies \sf P=2000[/tex]
Therefore, the initial deposit (principal) was $2000.
.....................................................................................................
Annual Compound Interest Formula
[tex]\large \text{$ \sf I=P\left[\left(1+r\right)^{t} -1\right]$}[/tex]
where:
I = interest accruedP = principal amountr = interest rate (in decimal form)t = time (in years)Given:
I = $1600r = 8% = 0.08t = 10 yearsSubstitute the given values into the formula and solve for P:
[tex]\implies \sf 1600=P\left[\left(1+0.08)^{10}-1\right][/tex]
[tex]\implies \sf 1600=P\left[\left(1.08)^{10}-1\right][/tex]
[tex]\implies \sf 1600=P\left[2.15892...-1\right][/tex]
[tex]\implies \sf 1600=P\left[1.15892...\right][/tex]
[tex]\implies \sf P=\dfrac{1600}{1.15892...}[/tex]
[tex]\implies \sf P=1380.5897...[/tex]
Therefore, the initial deposit (principal) was $1380.59 (nearest cent).
Learn more about simple interest here:
https://brainly.com/question/27743947
Learn more about compound interest here:
https://brainly.com/question/27747709
You leave the Calmecac at 7 (-4,-5) and head toward the Eagle Gate at (0, -8). How many units did you travel?
Answer:
Solution given:
(x1,y1)=(-4,-5)
(x2,y2)=(0,-8)
distance=?
we have
distance=[tex] \sqrt{(x2-x1) ²+(y2-y1) ²}[/tex]
d=[tex] \sqrt{(0+4)²+(-8+5) ²}[/tex]
d=[tex] \sqrt{25}[/tex]
d=[tex] 5[/tex]units
[tex] 5[/tex]units I travelled.
A cone has a slant height of 6 inches and a lateral surface area of
47.1 square inches. What is the base radius of the cone?
Answer:
Radius, r = 2.50 inches
Step-by-step explanation:
Given the following data;
Slant height of cone = 6 inches
Lateral surface area (LSA) of cone = 47.1 sq inches
To find the radius of the cone;
Mathematically, the lateral surface area of a cone is given by the formula;
LSA = πrl
47.1 = 3.142 * r * 6
47.1 = 18.852r
Radius, r = 47.1/18.852
Radius, r = 2.50 inches
GUYS HELP ME There are 6 classes on a field trip . Each class has 28 students and 7 adults going on the field trip they are all traveling by van. Each van holds 9 passengers. What is the fewest number of vans they will need ?
Answer:
24
Step-by-step explanation:
Total number of students and adult per class = 28 + 7 = 35
Van capacity = 9
Number of classes = 6
Total number of students including adults = (35 * 6) = 210
Number of vans needed = total / van capacity
= 210 / 9
= 23.333
Atleast 24 vans
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!!
The legs of a right triangle are
___ longer than the hypotenuse.
a.) sometimes
b.) always
c.) never
Answer:
C. Never
Step-by-step explanation:
The legs of a right triangle are never longer than the hypotenuse. Otherwise, the legs would never connect to the hypotenuse.
pls help this stuff is so hard to understand
Answer:
y = 0.5 (2)^x
Step-by-step explanation:
3rd option
you can plug in a coordinate point like (2, 2) to check this.
Find the values of x, y, and z
Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. (Round your answer to four decimal places. Enter your answers as a comma-separated list.) (See attachment)
c = ?
Answer:
Step-by-step explanation:
f'(x)=-sin x
[tex]f'(x)=\frac{cos \frac{\pi }{3} -cos (\frac{-\pi }{3}) }{\frac{\pi }{3} -(\frac{-\pi }{3}) } \\-sin x=\frac{\frac{1}{2} -\frac{1}{2} }{\frac{\pi }{3} +\frac{\pi }{3} } \\sin x=0\\at x=c ,sin c=0,c=0[/tex]
c=0∈(-π/3,π/3)
the variables height and weight could reasonably be expected to have a positive linear correlation coefficient, since taller people tend to be heavier, on average than shorter people. Give an example of a pair of variables which you would consider to have a negative linear correlation and explain why. Then give an example of a pair of variables whose linear correlation coefficient is likely to be close to zero
Answer:
i) Speed and travel time
ii) Coffee and car
Step-by-step explanation:
i) Example of a pair of variable that have a negative Linear correlation
A negative correlated pair of variables simply means that the variables are inversely proportional to each other .and an example of such pair of variables is
Speed and Travel Time
Increase in speed causes a decrease in travel time. ( because the faster a car travels the shorter the travel time spent by the car while the slower a car travels the longer the travel time spent by the car )
ii) Example of a pair of variable with no linear correlation ( almost zero )
A close to zero linear correlation shows that there i no actual relationship between the variables.
Coffee and car
Increase or decrease in the cost of coffee will have no significant effect ( either negative or positive ) on the price of cars in the open market.
Please please Pleas answer this question please please
Answer:
3 can
Step-by-step explanation:
there
Tell whether the two figures are similar. Explain your reasoning.
Answer:
i think its A
Step-by-step explanation:
if its not I'm sorry- um i think this cuz in the first figure where it says 8 its the same height side to side same thing with the 12. the second shape is also doing the same thing. really only thing that differes is the size. the second image is like a smaller version of the first one.
Ignore the answers and please help rn
VI
Use the table to answer the question.
* 0 1 3 4 6
y 0 1 9 16 36
Which equation represents the relationship between x and y in the table?
O A y=x²
O B. y = xo
O
C. y = 4x - 3
.
D. y = (x + 1)2
Answer:D hope it helped
Step-by-step explanation:
Answer:
d I think tbh I don't know
Step-by-step explanation:
you take them and times it by the number you had
4. A video club costs $20 to join. Each video that is rented costs $2.25. Let v represent the number of videos.
Identify the independent and dependent variables. Then, write a rule in function notation for the situation.
a. Independent: videos rented; Dependent: total cost; f(v) = 2.25v - 20
b. Independent: videos rented; Dependent: total cost; f(v) = 2.25y + 20
c. Independent: videos rented; Dependent: total cost; f(v) = 20v +2.25
d. Independent: total cost; Dependent: videos rented; f(v) = 20v – 2.25
Answer:
B.
Step-by-step explanation:
$2.25 is the cost of each video that is rented, so $2.25 times v (or 2.25v) represents the cost of 'v' videos.
$20 is the constant, as it costs $20 to join the club. Since this doesn't change, it is the constant.
So, we would have the equation:
f(v) = 2.25v + 20
f(v) is the total cost.
B is your answer because it is the only one with the correct equation.
Hope this helps!
A cylinder has a volume of 659.4 cubic centimeters. The diameter of the cylinder is 10 cm. What is the height of the cylinder?
(Assume = 3.14)
A.
42 cm
B.
2.1 cm
C.
8.4 cm
D.
21 cm
The height is 8.4.
Calculated with H = V / πr^2, with H for height, V for volume, and r for radius (the diameter divided by 2).