24 pens in 2 boxes How many pens in 1 box?__________
find unit rate
The police are searching for a bank that has been on the run for two hours. Based on his running speed, the police believe he could be anywhere within an 8.5 mile radius of the bank. Find the area and circumference of the region in which they must search for the suspect. Round to the nearest whole unit.
Answer:
π is equivalent to 3.14
Circumfrance = 53
area = 227
Step-by-step explanation:
π is equal to 3.14
Circumfrance = 8.5*2*π
So 8.5 * 2 is 17 times π is 53.38
round to nearest whole number is 53
area is π * radius squared so
8.5 * 8.5 =72.25
* π is 226.865
round to the nearest whole number is 227
A school choir is made up of girls and boys in the ratio 4:3.There are 35 students altogether. How many students are boys.
Answer:
15 boys
Step-by-step explanation:
Step 1: Set up the equation.
[tex]4x + 3x = 35[/tex]Step 2: Combine like terms.
[tex]7x=35[/tex]Step 3: Divide both sides by 7.
[tex]\frac{7x}{7} =\frac{35}{7}[/tex] [tex]x = 5[/tex]Step 4: Plug in the value of 5 for x in 3x.
[tex]3(5)[/tex] [tex]15[/tex]Therefore, the answer is 15 boys.
When the marked price and selling price after discount are given write the formula to find the rate of discount.
Step-by-step explanation:
marked price = 100%
1% = 100%/100 = marked price / 100
discount = marked price - selling price
discount % = discount / 1% =
= (marked price - selling price) / (marked price)/100 =
= 100×(marked price - selling price) / (marked price)
how do you draw the graph?
Answer:
right
Step-by-step explanation:
draw a line and right a number from 1 to 10
If your restaurant bill was $24.67 and there is a 7% tax, how much total would you have to pay? (round to nearest hundredth)
Answer:
1.73
Step-by-step explanation:
The sum of three times a number and −4 is at most 17.
Answer:
7
Step-by-step explanation:
17 +4 = 21
21/3 = 7
Kenny has 576 baseball cards. He would like
to put them in a blnder. Each binder page
holds 12 cards. 'How many pages does he
need for his baseball card binder?
Answer:
Divide 576 by 12 and you'll get your answer.
Answer:
Kenny will need 48 pages
Step-by-step explanation:
576 into 12 = 48 therefore Kenny will need 48 pages for his baseball card binder.
Amount of baseball cards into How among pages a binder can hold equal Amount if pages needed.
A cyclist travels 6.7 km in 30 minutes. What is his average speed in km/h?
Answer:
[tex]\implies \footnotesize \text{ Average Speed} = \dfrac{ \text{Total Distance}}{ \text{Total time}} \\ [/tex]
30 min = ½ hr.[tex]\implies \footnotesize \text{ Average Speed} = \dfrac{ 6.7 \: km}{ \frac{1}{2} \: hr }[/tex]
[tex]\implies \footnotesize \text{ Average Speed} = 6.7 \times 2 \: km/h[/tex]
[tex]\implies \footnotesize \textbf{ Average Speed = 13.4 \: km/h}[/tex]
His rate is 13.4km/ hour
Data;
Distance = 6.7kmTime = 30 minutesConversion From Minutes to HoursTo solve this problem, we have to convert his speed from km/min to km/h
[tex]60min =1 hour\\[/tex]
Since his rate is 6.7kmin 30 minutes, let's convert it to hour
[tex]6.7km = 30min\\x km = 1min\\x = \frac{6.7}{30} \\x = 0.223km/min[/tex]
But to convert minutes to hours, we have to divide the time by 60
[tex]0.223\frac{km}{min}*60/1 = 13.4[/tex]
From the calculation above, his rate is 13.4km/ hour
Learn more on conversion from minutes to hours here;
https://brainly.com/question/4845674
4/7 of the T-shirts in a crate are in size S. The rest are in size M and L.
The ratio of the number of T-shirts in size M to the number of T-shirts in
size L is 2:3. There are 48 more T-shirts in size L than in size M. Find the number of T-shirts in size S.
Answer:get scammed 4/7 of the T-shirts in a crate are in size S. The rest are in size M and L.
The ratio of the number of T-shirts in size M to the number of T-shirts in
size L is 2:3. There are 48 more T-shirts in size L than in size M. Find the number of T-shirts in size S.
Step-by-step explanation:
WHAT IS THE ANSWER?????
Answer:
to what?
Step-by-step explanation:
there's nothing
The data set represents the number of hours that fifteen students walked during a two-week period.
6 6 7 8 8 8 9 10 10 12 13 14 15 16 30
The median is 10 hours, Q1 is 8, Q3 is 14, and the IQR is 6 hours. Are there any outliers in the data? Explain or show your reasoning.
please help
Answer:
Yes, 30 would be your outlier.
Step-by-step explanation:
The rest of the numbers are closer and 30 is far away from the rest.
What are the solutions of the equation x4−10x2+9=0? Use u substitution.
Group of answer choices
x = 3 and x = 1
x = 3i, x = -3i, x = i, x = -i
x = -3, x = 3, x = 1, and x = -1
x = -3 and x = -1
Answer:
Step-by-step explanation:
X^4 - 10X^2 + 9 =0 This factors. It just looks odd.
(x^2 - 1)(x^2 - 9) = 0
x^2 - 1 = (x + 1)(x - 1) = 0
x = 1 and x = - 1
x^2 - 9 = (x + 3)(x - 3) = 0
x = 3
x = -3
The correct answer is C (third one down).
x°+(x+30)=180°
I need answer
Answer:
210 + -1x
Step-by-step explanation:
Simplifying
X + (x + -30) = 180
Reorder the terms:
X + (-30 + x) = 180
Remove parenthesis around (-30 + x)
X + -30 + x = 180
Reorder the terms:
-30 + X + x = 180
Solving
-30 + X + x = 180
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '30' to each side of the equation.
-30 + X + 30 + x = 180 + 30
Reorder the terms:
-30 + 30 + X + x = 180 + 30
Combine like terms: -30 + 30 = 0
0 + X + x = 180 + 30
X + x = 180 + 30
Combine like terms: 180 + 30 = 210
X + x = 210
Add '-1x' to each side of the equation.
X + x + -1x = 210 + -1x
Combine like terms: x + -1x = 0
X + 0 = 210 + -1x
X = 210 + -1x
Simplifying
X = 210 + -1x
How do I know if the point will be above the line
Answer: Para demostrar cómo calcular esto, digamos que tenemos una línea que pasa por un punto p con dirección v, es decir, parametrizada como \ gamma (t) = \ mathbf {p} + t \ mathbf {v}.
Sea L una rotación de 90 grados hacia la izquierda. Entonces, un punto x está a la izquierda de su línea si \ langle \ mathbf {x} - \ mathbf {p}, L \ mathbf {v} \ rangle es positivo, a la derecha si es negativo, y en la misma línea si es cero.
Respuesta 2:
Una línea en un plano no tiene un lado preferido, por lo que sin algo que distinga los lados de una línea, no puede haber una cuestión de qué lado de una línea se encuentra un punto.
Sin embargo, puede preguntar si dos puntos en ese plano, no en la línea, se encuentran en el mismo lado de la línea. Si el segmento de línea entre esos dos puntos se cruza con la línea, entonces se encuentran en lados opuestos de la línea; de lo contrario, se encuentran en el mismo lado de la línea.
Respuesta 3:
Trace la línea en una gráfica, digamos x = y. Cualquier coordenada de un punto donde xey son =, entonces se encuentra en la línea (17,17).
Si x es mayor que y, nuestro punto estará por debajo de la línea (3,2).
Si y es mayor que x, el punto estará por encima de la línea (1,2).
Si su línea es y = 2x, entonces y tendría que ser mayor que 2x para estar por encima de la línea.
Nuestra comparación en este gráfico xy está por encima o por debajo. Esto se debe a que generalmente hacemos referencia a nuestra línea ay =. Si lo reescribimos como x =, nuestra misma línea comparada con x sería a la izquierda o derecha de.
Step-by-step explanationNuestra comparación en este gráfico xy está por encima o por debajo. Esto se debe a que generalmente hacemos referencia a nuestra línea ay =. Si lo reescribimos como x =, nuestra misma línea comparada con x sería a la izquierda o derecha de.:
If the red marker is red why isn’t the blue marker blue when it rains...?
Help pls ? I just need this one question :,)
Answer:
=3b^2x(2b-1)x(2b+1)
Step-by-step explanation:
a) ( -14) + 5 + 17 + 14
Answer:
= 22 is the answer, if I got it wrong I tried to help
Answer:
22
Step-by-step explanation:
Please give BRANIEST and heart!
Peter was thinking of a number. Peter adds 8 to the number, then doubles the result to get an answer of 57.4. Form an equation with
x
from the information.
Answer:
x+8*2=57.4
x=41.4
Step-by-step explanation:
Peter is thinking about a number. So, let's represent that number by x. So, he adds 8 to that number. x+8 so far. Then he doubles the result. x+8*2 to get an answer of 57.4. x+8*2=57.4. Ok, now in order to solve for x we would take 8*2 and get 16. 57.4-16=41.4. Now we know that x is 41.4. Substitute x into the equation. 41.4+8*2=57.4. 57.4=57.4. Have a great day! :)))))
Solve the linear systems using multiplication 6x - 12y = 15;2x - 4y = 6 -
Answer:
your answer would be 1
Step-by-step explanation:
The whole equation is divided by 3 to get 2x-4y=5, but since there is a 6 we need to subtract 1 away to get 5.
5=r÷¼
How do I do this? This makes no sense to me
Answer: 5=rl
Step-by-step explanation:
Answer:
U can download apps to help u hope you find your answer
Brianna walked a total of 6 kilometers by making 3 trips to school. After 7 trips to school, how many kilometers will Brianna have walked in total? Assume the relationship is directly proportional.
Answer:
14
Step-by-step explanation:
6÷3=2
2×7=14
hope this helps
A local cable TV company charges $4 for older movies and $8 for current movies, plus a monthly fee of $30. In July, Kendra ordered 5 older movies and 3 current movies.
True or False: The equation below can be used to solve the problem.
c = (5 x 4) + (3 x 8) + 30
Answer:
I'm past that level of math. Here's the answer:Letter B
Step-by-step explanation:
PLEASE HELP ASAP!!!!!!! I GIVE BRAINLIEST AND POINTS! PLZ NO LINKS I GRINDED FOR THESE POINTS
LOOK AT THE PIC BELOW
[tex]\\ \rm\leadsto a^2(a^4)^3\div a^{13}[/tex]
[tex]\\ \rm\leadsto a^2a^{12}\div a^{13}[/tex]
[tex]\\ \rm\leadsto a^{14}/a^{13}[/tex]
[tex]\\ \rm\leadsto a[/tex]
Answer:
[tex]a^2 \cdot \left(a^4\right)^3 \div a^{13}=a[/tex]
Step-by-step explanation:
Given expression:
[tex]a^2 \cdot \left(a^4\right)^3 \div a^{13}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies a^2 \cdot a^{(4 \cdot 3)} \div a^{13}[/tex]
[tex]\implies a^2 \cdot a^{12} \div a^{13}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]
[tex]\implies a^{(2+12)} \div a^{13}[/tex]
[tex]\implies a^{14} \div a^{13}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \div a^c=a^{b-c}:[/tex]
[tex]\implies a^{(14-13)}[/tex]
[tex]\implies a^1[/tex]
[tex]\textsf{Apply exponent rule} \quad a^1=a:[/tex]
[tex]\implies a[/tex]
Learn more about exponent rules here:
https://brainly.com/question/27859523
answer the question in the picture
Answer:
A and D
Step-by-step explanation:
Rational numbers that can be written as a fraction of two integers (without a denominator of 0).
The other three cannot be written as a fraction or two integers.
The cost of videotaping a basketball tournament is modeled by the function f(x) = 20x + 350 where x represents the cost of each video. What is the rate of change for this scenario ?
Step-by-step explanation:
the factor of x : 20 or 20/1
that means with each additional videotaping (number of tapings goes up by +1) the cost goes up by +20.
show that 296 not not a perfect number
Step-by-step explanation:
in which the sum of all it's factor are twice of that no... factor of 296 =1,2,4,8,37........solve for missing side of the right triangle, round to the nearest tenth .
NEED HELP FAST WILL GIVE BRAINLIEST
Consider w = 4(cos(pi/2)+i sin(pi/2) and z=3(cos(3pi/2) +i sin(3pi/2)). What is w +z expressed in polar form?
A. Cos(0) + sin(0)
B. Cos(pi/2)+ isin (pi/2)
C. Cos(pi)+ isin (pi)
D. Cos(3pi/2) +isin (3pi/2)
Answer:
B. cos(pi/2) +i·sin(pi/2)
Step-by-step explanation:
You can convert to rectangular and back, or you can use the trig function relations directly.
w = 4·cis(π/2) = 4i
z = 3·cis(3π/2) = -3i
Then the sum is ...
w +z = 4i -3i = i = cis(π/2) . . . . matches choice B
__
An alternative representation of z is ...
z = -3·cis(π/2)
Then ...
w +z = 4·cis(π/2) -3·cis(π/2) = cis(π/2)
_____
Additional comment
In the above, we have used cis(α) to represent (cos(α) +i·sin(α)).
find the slope of the line
Answer:
The slope of the line is 1
Step-by-step explanation:
I picked two points on the line: (0,3) and (-3,0). Then, I used the formula for slope which is the change in y over the change in x and got the answer 1.