4x - 2 (-x + 12) = 36
4x + 2x - 24 = 36
6x = 60
x= 10
how many milermiters are they in a centermeter
1 centimeter = 10 millimeters
Juan sold half of his comic books and then bought six more. If he now has 36 comic books, with how many did he begin?
Answer:
60
Step-by-step explanation:
he bought 6 so you need to subtract 6
which 36-6=30
and double 30 is 30
so its 60
FIND C.
Give your answer in the simplest form
Answer:
3
Step-by-step explanation:
[tex] \sin(45) = \frac{a}{7 \sqrt{2} } [/tex]
[tex]a = 7[/tex]
[tex] \tan(30) = \frac{7}{c} [/tex]
[tex]c = 7 \sqrt{ 3} [/tex]
therefore 3 is required in the green box
Kendra and Dalisay practice archery. Kendra hits the target 3 times every 5 misses. Dalisay hits the target 5 times every 7 misses. Who hits the target more?
Dalisay hits the target more.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
Kendra hits the target 3 times every 5 misses.
And, Dalisay hits the target 5 times every 7 misses.
Since, Kendra hits the target 3 times every 5 misses.
Hence, In 1 misses Kendra hits the target = 3/5 times
= 0.6 times
And, Dalisay hits the target 5 times every 7 misses.
Hence, In 1 misses Dalisay hits the target = 5/7 times
= 0.74 times
Thus, Dalisay hits the target more.
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Solve for m: m-5/8=-1/4
M-5/8 = -1/4
Add 5/8 to both sides:
M = -1/4 + 5/8
Rewrite the fractions to have a common denominator
-1/4 = -2/8
Now you have m = -2/8 + 5/8
M = 3/8
Answer:
The answer is 0.375 (3/8)
Step-by-step explanation:
Since the M is subtracted by 5/8, you add 5/8 to both sides of the equation to get the M by itself and -1/4+5/8 equals 0.375, or 3/8
does anyone know what this is please help
Answer:
1)2 2)third 3)8
Step-by-step explanation:
So for the first one doubled just means times 2
for the second r³ means to the third power
for the last one all you do is put some values in and calculate the radius volume ratio which is, when the radius is doubled the volume is octupled (times 8)
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a local park is shaped like a square with sides 6 meters long. A circular splash fountain is being placed in the middle of the park as shown in the image below. How much of the park will still be grass?
Answer: 624 Square meters
Step-by-step explanation:
If LM = 20 cm, and PQ = 16 cm, what is the length of RM, in centimeters?
Answer:
RM = 12 cm
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
Assuming 20 is the hypotenuse cus there is no picture:
[tex]a^{2} + 16^{2} = 20^{2}[/tex]
[tex]a^{2} +256 = 400[/tex]
[tex]a^{2} = 144[/tex]
[tex]a=144[/tex]
If It's not the hypotenuse:
[tex]16^{2}+ 20^{2} =c^{2}[/tex]
[tex]256+400 =c^{2}[/tex]
[tex]656=c^{2}[/tex]
[tex]c = 25.61249695[/tex]
But I find it unlikely that 20 wasn't the hypotenuse so ignore that unless it applies.
Hope this helped. :0)
Show how u solved it
Answer:
The surface area of the figure is 412 cm2.
Step-by-step explanation:
To determine the total surface area of a prism, the following formula must be applied: perimeter of the base x height + 2 x area of the base = total surface area. Thus, the calculations of the blue prism must be carried out and then add the sides of the red figure that do not coincide with it:
Blue figure:
(12 x 2 + 2 x 2) x 10 + 2 x (12 x 2) = X
(24 + 4) x 10 + 2 x 24 = X
28 x 10 + 48 = X
280 + 48 = X
328 = X
Red figure:
3 x 8 = 24 x 2 = 48
3 x 6 = 18 x 2 = 36
328 + 48 + 36 = X
376 + 36 = X
412 = X
Therefore, the surface area of the figure is 412 cm2.
HELP with this equation
Answer:
83°
Step-by-step explanation:
-4m+51-4m+42= 158°
-8m+94= 158
-8m= 64
m= -8
JMK= -4m+51
= -4(-8)+51
= 32=51
= 83°
What is the domain of the profit function P= 11w+6Z?
O A. Defined for all w> 0 and 2 2 0
O B. Defined for all w 2 0 and z> 0
O c. Defined for all w> 0 and z> 0
D. Defined for all w20 and 22 0
Answer:
defined for all w greater than or equal to 0 & z greater than or equal to 0
Step-by-step explanation:
The domain of value defined as w>0 and z>0. Therefore, option C is the correct answer.
What is domain and range of the function?The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.
The given function is P=11w+6z.
Since, P is profit here, consider w values greater than zero and z values also greater than zero.
Therefore, option C is the correct answer.
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Angle sec0= -13/12 and cot<0. what are the exact values of tan0 and sin0.
Answer:
tan 0= -2.4
sin 0 = 0.42
Step-by-step explanation:
sec 0 = -13/12 => cos 0 = -12/13
cot 0 < 0 => tan 0 < 0
so, the angle is on second quadrant
=> tan 0 = -12/5 = -2.4
=> sin 0 = 5/12 = 0.42
Answer:
Solution given;
Sec θ=-[tex]\frac{13}{12}[/tex]
cotθ< 0,
It lies in second quadrant.
where sin and cosec is positive.
Now
[tex] \frac{1}{cosθ}=-\frac{13}{12}[/tex]
cosθ=[tex]\frac{12}{13}[/tex]
[tex]\frac{b}{h}[/tex]=[tex]\frac{12}{13}[/tex]
b=12
h=13
By using Pythagoras law
p=[tex] \sqrt{13²-12²}=5 [/tex]
Now
exact values of tan θ=[tex]\frac{p}{b}[/tex]=[tex]\frac{5}{12}[/tex]
since it lies in II quadrant
tan θ=-[tex]\frac{5}{12}[/tex]
and
sinθ=[tex]\frac{p}{h}[/tex]=[tex]\frac{5}{13}[/tex]
since it lies in II quadrant
sin θ=[tex]\frac{5}{13}[/tex]
a group of students was asked about the number of emails they each sent that day the results are 0,0,1,2,3,4,5,6,6,7,8,8,8,9 i will post the other half now
Answer:
D
Step-by-step explanation:
All you do is count the values from 0 to 3 which there are 5 of and only D shows that (I got the remaining answer choices from your profiles other question showing the remaining answers)
Answer:
D is the answer
Step-by-step explanation:
All you do is count the values from 0 to 3 which there are 5 of and only D shows that (I got the remaining answer choices from your profiles other question showing the remaining answers)
In a class, 40% of the students are girls. Of the girls in the class, 25% play tennis. There are 40 students in the class. How many girls in this class, play tennis?
a- 10
b- 16
c- 4
d- 24
Answer:
Let x=number of girls in the class
Then x+27 =total number of students in the class
So our equation to solve is :
40% of (x+27)=x or
0.40(x+27)=x get rid of parens
0.40x+10.8=x subtract 0.40x from each side
0.40x-0.40x+10.8=x-0.40x collect like terms
Step-by-step explanation:
multiply the sum by the difference of 19 and 57
Answer:2009#73
Step-by-step explanation:
3939+373
Ie,ek
Find the inverse of the function.
y = x + 8
Write your answer in the form ax + b. Simplify any fractions.
y =
Answer:
X=y-8................
Let x^2+10x=6.
What values make an equivalent number sentence after completing the square?
Enter your answers in the boxes.
x^2+10x+___=___
Answer:
x² + 10x + 25 = 31
Step-by-step explanation:
To complete the square use half the x coefficent (10/2 = 5)
and square it (5² = 25)
Then add it to both sides
x² + 10x + 25 = 6 + 25
x² + 10x + 25 = 31
Answer:
x^2 + 10x + 25 = 31
Step-by-step explanation:
x^2 + 10x + (10/2)^2 = 6 + 25
x^2 + 10x + 25 = 6 + 25
x^2 + 10x + 25 = 31
The first step requires a bit of explanation. The way to complete the square is to take 1/2 the linear term (10x) and square it
1/2 10 = 5
5 squared = 25
That number must be added to the right side to maintain equality.
(please answer)When considering the cost of paying for college, which kind of aid MUST be repaid A) grants B) scholarships 0 student loans D work-study
Answer:
A. grant
that's the answer
Right triangle XYZ has legs of length XY = 12 and YZ 6. Point D is chosen at random within the triangle XYZ. What is the probability that the area of triangle XYD is at most 20?
Step-by-step explanation:
a probability is always
desired cases / totally possible cases.
now in our case the totally possible area is the area of the triangle XYZ (when D = Z).
the desired case is the area of 20 (which contains also the possibilities of smaller areas).
so, the probability is 20/area.
now, let's find the area of XYZ :
Pythagoras tells us the length of the Hypotenuse :
XZ² = XY² + YZ² = 12² + 6² = 144 + 36 = 180
XZ = sqrt(180)
the area based on all 3 sides we get via Heron's formula
s = (a+b+c)/2
A = sqrt(s(s-a)(s-b)(s-c))
s = (12+6+sqrt(180))/2 = 9 + sqrt(180/4) = 9 + sqrt(45)
sqrt(180) = 2×sqrt(45)
A = sqrt((9+sqrt(45))(-3+sqrt(45))(3+sqrt(45))(9-sqrt(45)))
(a+b)(a-b) = a² - b²
so,
(9+sqrt(45))(9-sqrt(45)) = 81 - 45 = 36
(-3+sqrt(45))(3+sqrt(45)) = 45 - 9 = 36
A = sqrt(36×36) = 6×6 = 36
the probability that the area of XYD is max. 20 is
20/36 = 5/9
The figure below is a scale drawing of a garden if the scale used is 1/4 inch = 3 feet then what is the peremiter of the actual garden
Answer:
if the scale used 1/4 inch = 3 feet, then what is the perimeter of the actual garden? AI Recommended Answer: The perimeter of the actual garden is 144 feet.
Step-by-step explanation:
In a survey, 13 out of 20 teachers respond yesto a proposal for a new after-school club. In the same survey, 37 out of 50 students respond yes. a.Which group is more in favor of the new after-school club, teachersor students? Show your work
Answer: To compare the level of support for the new after-school club between teachers and students, we can calculate the percentage of individuals in each group that responded "yes" to the proposal.
For teachers: 13 out of 20 is equivalent to 13/20 = 0.65 or 65%
For students: 37 out of 50 is equivalent to 37/50 = 0.74 or 74%
Based on the percentage of individuals in each group that responded "yes," we can see that students are more in favor of the new after-school club than teachers. 74% of students responded "yes" to the proposal, while only 65% of teachers responded "yes."
It's worth mentioning that it's important to keep in mind that this comparison is based on the sample size of teachers and students that responded to the survey and not the whole population, also if the sample size isn't representative of the population and not randomly selected it can't be generalized.
Step-by-step explanation:
Write the word sentence as an equation.
11 3/4 is the quotient of a number y and 6 1/4
An equation that represents this sentence is ?
The equation that represents the sentence is y ÷ 6₄¹ = 11₄³
What is quotient?
The word quotient is the outcome when dividend is divided by a divisor.
The result that comes from a division process is termed as quotient. While writing an equation quotient is placed on the right-hand side of the equal sign.
The number that is divided by other number is called dividend and this other number is called divisor.
Write the word sentence as an equation given in question?11³₄ is the quotient of a number y and 6¹₄.
47/4 is the quotient of a number y and 25/4
hence, y is the dividend and 25/4 is the divisor
y ÷ 25/4 = 47/4
y × 4/25 = 47/4
y = 1175/16
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The density of a certain material is such that it weighs 6900 grams for every 4.5 quarts of volume. Express this density in pounds per cubic foot. Round your answer to the nearest whole number.
The density of the material is 1533.3 grams per quarts.
What is density?Density is the measurement of how tightly a material is packed together. It is defined as the mass per unit volume.
Given that, the density of a certain material is such that it weighs 6900 grams for every 4.5 quarts of volume.
The formula to find the density is Density=Mass/Volume
Density =6900/4.5
Density= 1533.3 grams per quarts
Therefore, the density of the material is 1533.3 grams per quarts.
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Nina uses 2/3 cup peanuts, 1/2 cup cashews, 3/4 cups pecans, and some raisins in a recipe that makes 2 1/4 cups of trail mix. How many cups of cashews are there per cup of trail mix?
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
1/2 ÷ 2 1/4
1/2 ÷ 9/4
1/2 x 4/9 = 4/18 = 2/9
Two sides of a parallelogram are 500 feet and 790 feet. The measure of the angle
between these sides is 33°. Find the area of the parallelogram to the nearest square
foot
Answer:
215117 ft²Step-by-step explanation:
Assumed the base is the longer side.
The height of the parallelogram is:
h/500 = sin 33° h = 500 sin 33° h = 272.3 ftThe area is:
A = bh A = 790*272.3 = 215117 ft²Answer:
215132
Step-by-step explanation:
deltamath
PLEASE help test due tonight !!!Use the two-way frequency table to answer questions #14-19
Answer:
14. 1/13
15. 14/15
16. 1/13
17. 15/30=1/2
18. 12/13
19. 12/15
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You want to test whether or not the following sample of 30 observations follows a normal distribution. The mean of the sample equals 11.83 and the standard deviation equals 4.53. 2 3 5 5 7 8 8 9 9 10 11 11 12 12 12 12 13 13 13 14 15 15 15 16 16 17 17 18 18 19 The number of intervals or categories used to test the hypothesis for this problem is a. 5. b. 6. c. 4. d. 10.
Answer:
b. 6
Step-by-step explanation:
The standard deviation is 4.53 approximately 5. The standard deviation tells how far the data is located from the mean.
The total number of observations= 30
So dividing 30/5 gives 6
Hence 6 intervals or categories used to test the hypothesis for this problem
as each category will have a data point in it .
So the best option is b.
Germany 3. Guam 24
Greenland -10
Which location is the warmest?
Answer: Guam
Step-by-step explanation:
Guam's location is the warmest because its a higher number than Greenland and Germany
A beach ball has a diameter of 18 inches. Find the volume of air in the ball to the nearest cubic inch. DO NOT ENTER THE UNIT OF MEASURE!
Answer:
24,429 cubic inches
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50points!
True or False, (-1,5) is a solution for these systems of equations.
y = -x + 4
y = 0.2x
Answer:
am not sure but I think is true. I am hopeful
Answer:
FalseStep-by-step explanation:
Substitute to verify:
5 = - (-1) + 45 = 5True for the first equation5 = 0.2(-1)5 = -0.2False for the second equation, so the answer is false