Turn the percentage into a decimal.
6% = 0.06
Multiply.
990 * 0.06 = $54.9 (sales tax)
Add.
990 + 54.9 = $1,049.40 (total price)
Best of Luck!
HELP!!!! calculate the difference and enter it below
-1 -7
Answer:
-8
Step-by-step explanation:
-8
Answer:
6.
Step-by-step explanation:
Difference between -1 and -7.
-1-(-7) = -1 + 7 = 6
two negative signs makes it a positive sign
Tan θ =
[tex] \sqrt{13} \div \sqrt{2} [/tex]
Answer:
Step-by-step explanation:
Tan θ = [tex]\sqrt{13} \div \sqrt{2}[/tex] = 2.5495
Therefore θ = [tex]Tan^{-1}[/tex] (2.5495) =68.5832°
Answer:
Tan θ = 2.5495097...
Mona likes to ski. One lap includes a 4 minute ride up the ski lift and 5 minutes to ski down the hill. How long will it take her to do 5 laps?
Answer:
pretty sure it is 45mins
Step-by-step explanation:
U add 4+5=9 so that is one lap
then take 9*5=45 and that would be 5 laps
Answer:
45
Step-by-step explanation: first we want to find out the time it takes to do one full lap of skiing. in order to do this you have to add 4 to 5. we do this because if we start at the bottom of the hill we have to ride 4 min up to the top then 5 min to get back to the bottom. so in all it will 9 min to do one full lap. because we want to find out how long it will take to do 5 laps we do 9x5=45
1.-En una estación de autobuses de la Ciudad de México hay dos líneas que llevan a Cuautla, Morelos. Ambas tienen salidas desde las 6:00 am, la primera, tiene salidas cada 15 minutos y la segunda cada 20. Si los primeros camiones de ambas líneas salen a las 6:00, ¿a qué hora coincidirán nuevamente en la salida?
2.-Tita está haciendo unos recuerdos y está colocando dulces en ellos. Tiene 48 paletas de malvavisco y 32 bolsitas de lunetas. Quiere repartirlos en partes iguales y que a cada familiar le toque el número mayor de dulces y de manera exacta. Calcula el número máximo que le puede tocar a cada persona, cuánto le toca a cada uno y hasta cuántos recuerdos puede hacer.
Answer:
1) 7 : 00 am, 2) 3 paletas de malvavisco, 2 bolsitas de lunetas, 16 recuerdos.
Step-by-step explanation:
(Both exercises are written in Spanish. Hence, explanations will be held in that language)
1) Las ecuaciones que describen el tiempo transcurrido en función del número de salidas de cada línea son, respectivamente:
Primera Línea
[tex]t_{1} = 15\cdot n_{1}[/tex]
Segunda Línea
[tex]t_{2} = 20\cdot n_{2}[/tex]
Donde t se mide en minutos. La siguiente relación se obtiene a partir de de igualar y sustituir el tiempo de ambas ecuaciones.
[tex]15\cdot n_{1} = 20\cdot n_{2}[/tex]
La siguiente relación es construida:
[tex]n_{1} = \frac{20}{15}\cdot n_{2}[/tex]
[tex]n_{1} = \frac{4}{3}\cdot n_{2}[/tex]
Tanto [tex]n_{1}[/tex] como [tex]n_{2}[/tex] son números naturales, si [tex]n_{2} = 3[/tex], entonces:
[tex]n_{1} = 4[/tex]
Finalmente, el tiempo transcurrido es:
[tex]t_{1} = 15\cdot (4)[/tex]
[tex]t_{1} = 60\,min[/tex]
En consecuencia, las salidas coincidirán a las 7 : 00 am.
2) El máximo número de recuerdos es determinado por el menor número de determinados dulces. Las bolsitas de lunetas representan el limitante, la razón de paletas de malvavisco a bolsitas de lunetas es:
[tex]x = \frac{48\,m}{32\,l}[/tex]
[tex]x = \frac{3\,m}{2\,l}[/tex]
La proporción óptima es de 3 paletas de malvavisco por cada 2 bolsitas de lunetas. Entonces, el máximo número de recuerdos es:
[tex]y = \frac{32}{2}[/tex]
[tex]y = 16[/tex]
El máximo número de recuerdos es 16.
PLZZ ANSWER CORRECTLYTHIS IS GOING TO BE GRADED!!!!
PLZ WHEN U R DOING THE PROBLEMS,PICK FROM THE CHOICES IT GIVES U!!!!!!
Answer:
That's my best answer.
Step-by-step explanation:
So for number 1 it says the total amount of wrapping paper. You should just find the surface area. I'll send a screenshot.
The length of the line segment containing the points (1,7) and (5,5)
is 4.47 units
A, True
B. False
Answer:
True
Step-by-step explanation:
Let A denotes the point (1,7)
Let B denotes the point (5,5)
We are supposed to find The length of the line segment containing the points
Formula : [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex](x_1,y_1)=(1,7)\\(x_2,y_2)=(5,5)\\ d = \sqrt{(5-1)^2+(5-7)^2}\\ d = \sqrt{4^2+(-2)^2}\\ d = \sqrt{4^2+(-2)^2}\\d=4.47[/tex]
So,The length of the line segment containing the points (1,7) and (5,5) is 4.47 units is true.
Hence Option A is true
SA police department used a radar gun to measure the speed of a sample of cars on the highway.
Assume that the distribution of speeds is approximately Normal with a mean of 71 mph and a
standard deviation of 8 mph.
Using this distribution what is the z-score of a 65-mph speed limit? *
Answer:
The z score of the 65-mph speed limit is -0.75
Step-by-step explanation:
The z score is given by the relation;
[tex]z = \frac{x- \mu}{\sigma}[/tex]
Where:
Z = Normal (Standard) or z score
x = Observed speed score
μ = Mean, expected speed
σ = Standard deviation
Where we plug in the values for x = 65-mph, σ = 8 mph and μ = 71 mph, into the z-score equation, we get;
[tex]z = \frac{65-71}{8}= \frac{-6}{8} = -\frac{3}{4}[/tex]
Hence the z score of the 65-mph speed limit =-3/4 or -0.75.
Find the area of the shape shown below.
Answer:
The answer should be 4800
I Think There is ALLWAYZ a 50-50 CHANCE
There are 7 yellow, 6 blue, 9 red, and 3 green ribbons in a drawer. Once a ribbon is selected, it is not replaced. Find each probability.
P(a yellow ribbon and then a blue ribbon)
P(a yellow ribbon and then a blue ribbon)
a. 7/100
b. 42/635
c. 7/120
d. 7/125
Answer:
7/100
Step-by-step explanation:
7 yellow, 6 blue, 9 red, and 3 green ribbons in a drawer
Total ribbons = 25 ribbons
P( yellow) = yellow / total = 7/25
Then not replaced
6 yellow, 6 blue, 9 red, and 3 green ribbons in a drawer
Total ribbons = 24 ribbons
P( blue) = blue / total = 6/24 = 1/4
P(a yellow ribbon and then a blue ribbon) = 7/25 * 1/4 =7/100
Answer:
A: [tex]\frac{7}{100}[/tex]
Step-by-step explanation:
There are 25 ribbons total. The probability would be out of the 25 ribbons.
(1):
Yellow: [tex]\frac{7}{25}[/tex]
Blue:[tex]\frac{6}{25}[/tex]
Red:[tex]\frac{9}{25\\}[/tex]
Green:[tex]\frac{3}{25}[/tex]
When removing a ribbon that can't be replace, it'll leave you with a total of 24 ribbons.
(2):
Yellow: [tex]\frac{6}{24}=\frac{1}{4}[/tex]
Blue: [tex]\frac{5}{24}[/tex]
Red:[tex]\frac{8}{24}=\frac{1}{3}[/tex]
Green:[tex]\frac{2}{24}=\frac{1}{12}[/tex]
Multiply {(1) × (2)}:
Yellow:[tex]\frac{7}{25}[/tex] ×[tex]\frac{6}{24}[/tex] = [tex]\frac{7}{100}[/tex]
Blue:[tex]\frac{6}{25}[/tex] × [tex]\frac{5}{24}[/tex] = [tex]\frac{1}{20}[/tex]
Question is on picture
Answer:
the answer is A
Step-by-step explanation:
Solve the equation in the image
Answer:
x = 70
Step-by-step explanation:
[tex] \sqrt{x - 6} = 8 \\ squaring \: both \: sides \\ {( \sqrt{x - 6)} }^{2} = {8}^{2} \\ x - 6 = 64 \\ x = 64 + 6 \\ \huge \red{ \boxed{ x = 70 }}\\ [/tex]
Answer:
Step-by-step explanation:
[tex]\sqrt{x-6}=8[/tex]
Take square,
[tex](\sqrt{x-6})^{2}=8^{2}\\\\x-6=64\\\\[/tex]
Add 6 to both sides,
x - 6 + 6 = 64+6
x = 70
Is there a correlation between the hours spent on homework and the test score? If there is, explain.
Answer:
No there is no correlation between the hours spent on homework and the test scores.
Hope this helps!!!
how many solutions to x^2 =-16
Answer:
no real solutions
Step-by-step explanation:
3a/4+2a/3-a/12
a. a/3
b. 4/3
c. (4a)/3
Answer: C
Step-by-step explanation:
[tex]\frac{3a}{4}+\frac{2a}{3}-\frac{a}{12}[/tex]
Find the least common denominator of 4, 3, and 12.
4-3-12 | 3
4-1-4 | 4
1-1-1 |-------- 12
The first fractions needs to be multiplied by 3, and the second fraction, by 4
[tex](\frac{(3a)*3}{(4)*3})+(\frac{(2a)*4}{(3)*4})-\frac{a}{12}[/tex]
Solve;
[tex]\frac{9a}{12}+\frac{8a}{12}-\frac{a}{12}[/tex]
Add the fractions with positive signs and subtract the one with negative sign.
[tex]\frac{(9a+8a)-a}{12}[/tex]
Solve;
[tex]\frac{17a-a}{12}=\frac{16a}{12}[/tex]
Simplify by 4;
16/4=4
12/4=3
[tex]\frac{4a}{3}[/tex]
Answer:
(4a)/3
Step-by-step explanation:
3a/4+2a/3-a/12
find L.C.M
9a+8a-1a/12=16a/12
16a/12=(4a)/3
Describe the process for calculating the volume of a cylinder.
Answer:
the formulae for the volume of a cylinder= πr²h
so we then put the figures at their respective positions. and for the pie we put either 22/7 or 3.143 or 3.14
Question 2 (1 point)
Find the midpoint of the line segment with the given endpoints.
(-9, 8), (2, -1)
(-5.5, 4.5)
(-0.5, 0.5)
(13,-10)
(-3.5, 3.5)
Answer:
Step-by-step explanation:
(-9+2)/2= -7/2= -3.5
(8 + (-1))/2 = 7/2= 3.5
(-3.5, 3.5) is the solution
What is the area of the parallelogram? A parallelogram with a base of 14 centimeters and a height of 5 centimeters.
Answer:
The answer is 70cm²Step-by-step explanation:
Area of a parallelogram = base × height
From the question
base = 14 cm
height = 5 cm
Substituting the values into the above formula we have
Area = 14 cm × 5 cm
Area = 70cm²Hope this helps you
Answer:
1,750
Step-by-step explanation:
13 POINTS!!!
In ΔABC, c = 4.2 inches, ∠C=24° and ∠A=115°. Find the area of ΔABC, to the nearest 10th of an square inch.
Answer:
12.9 [tex]in^{2}[/tex]
Step-by-step explanation:
So to find the area of this triangle, you will need to use the equation
Area = [tex]\frac{1}{2}[/tex]c*b*sin(A) = [tex]\frac{1}{2}[/tex]a*b*sin(C)
Here, we have ∠A, ∠C, and side c
We can use the fact that [tex]\frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)}[/tex] so solve for the other variables we do not have.
First we can find the other angle B. Since ∠A + ∠B + ∠C = 180°,
∠B = 180° - ∠A - ∠C, which is ∠B = 180° - 115° - 24° = 41°
Now that we have all three angles, we can solve for the sides
Since we only have side c, we will manipulate the equation with c and one of the others to solve for a or b. Let's solve for side b first.
Since [tex]\frac{b}{sin(B)} =\frac{c}{sin(C)}[/tex], solving for b would give us [tex]b=\frac{csin(B)}{sin(C)}[/tex]. Then plugging in our values we get [tex]\frac{4.2sin(41)}{sin(24)}[/tex]= 6.77 = b
Now we can solve for the remaining side, a, using the same method.
Since [tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}[/tex], solving for a would give us [tex]a=\frac{bsin(A)}{sin(B)}[/tex]. Then plugging on our values we get [tex]\frac{6.77sin(115)}{sin(41)}[/tex]= 9.36 = a
Now that we have all our angles and sides, we can plug in our numbers to either of our area equations ⇒
Area =[tex]\frac{1}{2}[/tex]c*b*sin(A)= [tex]\frac{1}{2}[/tex](4.2)(6.77)sin(115) = 12.9[tex]in^{2}[/tex] or [tex]\frac{1}{2}[/tex]a*b*sin(C) = [tex]\frac{1}{2}[/tex](9.36)(6.77)sin(24) = 12.9[tex]in^{2}[/tex]
Sadie uses 9.8 pints of blue paint and white paint to paint her bedroom walls. 1 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answer:
7.35 pints
Step-by-step explanation:
If we use 1/4 of the 9.8 pints for blue, then the remaining white paint takes up 3/4 of the 9.8 pints of paint. To find how many pints of paint is equal to 3/4 of it, you must multiply that fraction by the amount (9.8).
[tex]\frac{3}{4}[/tex] * 9.8 (or 0.75 * 9.8) = 7.35
Therefore, 7.35 pints of the total paint used is white.
Hope I helped! Please give me brainliest!
BJ = 2x + 1
BF = y + 1
AG = 2y - 3 = ? feet
BG = 6x - 2.5 = ? feet
Answer:
Is there anything else to this question cause it's confusing and I would help you but if there is more information
Step-by-step explanation:
The parallelogram does not have right angles. Its area is
less than ab.
equal to ab.
greater than ab.
Answer:
equal to ab
Step-by-step explanation:
The area of a parallelogram is Area = ab
therefore, the area is ab
Answer:
Less than ab
Step-by-step explanation:
Solve. 2(n - 1) + 4n = 2 ( 3n - 1 ) please help ASAP
Answer:
0
Step-by-step explanation:
2(n - 1) + 4n = 2 ( 3n - 1 )
2n - 2 + 4n = 6n - 2
6n - 2 = 6n - 2
6n - 6n = -2 + 2
0 = 0
i need help understanding this
Answer:
x = 6±sqrt( 31)
Step-by-step explanation:
x^2 -12x +5 =0
Subtract 5 from each side
x^2 -12x +5-5=0-5
x^2 -12x = -5
Take the coefficient of x
-12
Divide by 2
-12/2 =-6
Square it
(-6 )^2 = 36
Add this to each side
x^2 -12x +36= -5+36
(x-6)^2 = 31
Take the square root of each side
sqrt((x-6)^2) =±sqrt( 31)
x-6 =±sqrt( 31)
Add 6 to each side
x-6+6 =6±sqrt( 31)
x = 6±sqrt( 31)
12 more than m machines
Answer:
m+12
Step-by-step explanation:
m+12
An economy package of cups has 250 green cups if the green cups are 10% of the total package, how many cups are in the package?
Answer:
There are a total of 2500 cups
Step-by-step explanation:
10% of the cups are green
you can set up a equation for this
x = total cups
.10x = 250
multiply both sides by 10 to make x a whole number
x = 2500
The areas of the squares adjacent to two sides of a right triangle are 32 units^2 and 32 units^2
Answer:
64 square units.Step-by-step explanation:
In this problem, we have to find the area of an square adjacent to the third side of the right triangle.
To solve this problem, we need to use Pythagorean's Theorem, beacuse it's about a right triangle. Also, this theorem is about square areas, that's the geomtrical meaning of it.
[tex]h^{2} =32 \ u^{2} + 32 \ u^{2} = 64\ u^{2} \\h=\sqrt{64 \ u^{2} } =8u[/tex]
Therefore, the area of a square adjacent to the third side is 64 square units.
Answer:the answer is 8
Step-by-step explanation:
Polygon LMNO is similar to polygon QRST and LM and QR are corresponding sides. You know the perimeter of each polygon, and you know the measure of MN. What can you find
Answer:
I can find that the measure of RS
Step-by-step explanation:
The measure of RS can be discovered as both have corresponding sides. Therefore, both are the same
A ski run is 1000 yards long with a vertical drop of 208 yards. Find the angle of depression from the top of the ski run to the bottom.
Answer:
angle of depression = -12 degrees
Step-by-step explanation:
Sin = opposite/hypotenuse
sin = -208/1000
inv sin 0.208 = -12
To solve this problem, we just need to use trigonometric ratio and use the ratio that best fits this problem. The angle of depression is equal to 76.23 degrees.
Trigonometric RatioUsing SOHCAHTOA, we can easily solve this problem, but we need to first know which ratio to use
Data;
opposite (ski run) = 1000 yardsadjacent (vertical drop) = 208 yardssince we have the value of opposite and adjacent, we can solve this using the tangent of the angle
[tex]tan\theta = \frac{opposite}{adjacent} \\tan \theta = \frac{1000}{208} \\tan\theta = 4.807\\\theta = sin^-^1 (4.0807)\\\theta = 76.23^0[/tex]
From the calculation above, the angle of depression is equal to 76.23 degrees.
Learn more on angle of depression here;
https://brainly.com/question/15580615
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$ 26.08 + $ 41.39 * whats the answer who ever answers will be a ble to xtra pints that i have
Answer:
Your answer is 67.47$
Step-by-step explanation:
Hope this helped stay safe bye!
There is a unique positive real number x such that the three numbers
log82x, log4x and log2x, in that order, form a geometric progression with a positive common ratio.
The number x can be written as m/n, where m and n are relatively prime positive integers.
Find m+n.
Step-by-step explanation:
If the log82x, log4x and log2x, in that order, form a geometric progression with a positive common ratio.
Let a = log82x, b = log4x and c = log2x
If a = log8 2x; 8^a = 2x... (1)
If b = log4 x; 4^b = x ... (2)
If c = log2 x; 2^c = x...(3)
Since a, b c are in GP, then b/a = c/b
Cross multiplying:
b² = ac ...(4)
From eqn 1, x = 8^a/2
x = 2^3a/2
x = 2^(3a-1)
From eqn 2; x = 4^b
x = 2^2b
From eqn 3: x = 2^c
Equating all the values of x, we have;
2^(3a-1) = 2^2b = 2^c
3a-1 = 2b = c
3a-1 = c and 2b = c
a = c+1/3 and b = c/2
Substituting the value of a = c+1/3 and b = c/2 into equation 4 we have;
(c/2)² = c+1/3×c
c²/4 = c(c+1)/3
c/4 = c+1/3
Cross multiplying;
3c = 4(c+1)
3c = 4c+4
3c-4c = 4
-c = 4
c = -4
Substituting c = -4 into equation 3 to get the value of x we have;
2^c = x
2^-4 = x
x = 1/2^4
x = 1/16
Since the number x can be written as m/n, then x = 1/16 = m/n
This shows that m = 1, n = 16
m+n = 1+16
m+n = 17
The required answer is 17.
The value of m+n in which m and n are relatively prime positive integers is 17.
What is geometric sequence?Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.
There is a unique positive real number x such that the three numbers log82x, log4x and log2x, in that order, form a geometric progression with a positive common ratio. The progression is,
[tex]\log_82 x,\log_4x, \log_2x[/tex]
The above numbers are in geometric progression. Thus, the ratio of first two terms will be equal to the ratio of next two terms as,
[tex]\dfrac{\log_4x}{\log_82x}=\dfrac{\log_2x}{\log_4x}\\(\log_4x)^2={\log_2x}\times{\log_82x}\\[/tex]
Using the base rule of logarithmic function,
[tex]\left(\dfrac{\log x}{\log 4}\right)^2=\dfrac{\log x}{\log2}\times\dfrac{\log2x}{\log8}\\\left(\dfrac{\log x}{\log 2^2}\right)^2=\dfrac{\log x}{\log2}\times\dfrac{\log2x}{\log2^3}[/tex]
Using the Power rule of logarithmic function,
[tex]\left(\dfrac{\log x}{2\log 2}\right)^2=\dfrac{\log x}{\log2}\times\dfrac{\log2x}{3\log2}\\\dfrac{\log x}{4}=\dfrac{\log 2+\log x}{3}\\3\log x=4(\log2x)\\\log x^3=\log(2x)^4\\x^3=16x^4\\x=\dfrac{1}{16}[/tex]
The number x can be written as
[tex]\dfrac{m}{n}[/tex]
Here, m and n are relatively prime positive integers. Thus, the value of m+n is,
[tex]m+n=1+16=17[/tex]
Hence, the value of m+n in which m and n are relatively prime positive integers is 17.
Learn more about the geometric sequence here;
https://brainly.com/question/1509142