Answer:
16. r = 20, t = 48
17. a = 104, b = 175
19. 144/252, 20/35
20. 14/21, 18/27
21. 16/48, 12/36
22. 219 grams
23. 5 milligrams
Step-by-step explanation:
Answer:
16. r = 20
t = 48
17. a = 104
b = 175
19. [tex]\frac{144}{20} =\frac{252}{35}[/tex]
7.2 = 7.2
20. [tex]\frac{27}{18}= \frac{21}{14}[/tex]
1.5 = 1.5
21. [tex]\frac{48}{16} =\frac{36}{12}[/tex]
3 = 3
22. [tex]\frac{8}{3} :\frac{584}{y}[/tex]
219 grams of peanuts
23. [tex]\frac{y}{2}: \frac{200}{80}[/tex]
50 milligrams of medication
Step-by-step explanation:
16. [tex]\frac{r}{32} =\frac{5}{8} =\frac{30}{t}[/tex]
8 · 4 = 32
5 · 4 = 20
r = 20
5 · 6 = 30
8 · 6 = 48
t = 48
17. [tex]\frac{52}{a} =\frac{10}{20} =\frac{b}{350}[/tex]
Here is a different method.
[tex]\frac{10}{20} =\frac{1}{2}[/tex]
52 · 2 = 104
a = 104
350 ÷ 2 = 175
b = 175
22.
[tex]\frac{8}{3} :\frac{584}{y}[/tex]
8 · y = 3 · 584
8y = 1752
8y ÷ 8 = 1752 ÷ 8
y = 219
23.
[tex]\frac{y}{2}: \frac{200}{80}[/tex]
y · 80 = 200 · 20
80y = 4000
80y ÷ 80 = 4000 ÷ 80
y = 50
The average of Blanca's first three test scores was 90. The average of her next two test scores was 95. What was the average of Blanca's first five test scores?
Answer:
92.5
Step-by-step explanation:
you would add 90+95 which is 185 then divide that by 2 to get ur answer
The graph of a logarithmic function is shown below.
What is the domain of the function?
Name all asymptotes: y =x−3/2x+8
Answer:
x=0
y= x + 8
Step-by-step explanation:
find the oblique asymptotes using long polynomial divison
vectors
p=(4,3) and q=(-2,7), find 4p -2q
Answer:
(20, -2)
Step-by-step explanation:
Given the coordinate vectors p=(4,3) and q=(-2,7),
4p - 2q = 4(4, 3)- 2(-2, 7)
4p - 2q = (16, 12) - (-4, 14)
4p - 2q = (16+4, 12-14)
4p - 2q =(20, -2)
hence the required vector is (20, -2)
0.326 as a fraction
Answer:
163/500
Step-by-step explanation:
we will not only clearly explain how to get the answer to 0.326 as a fraction, but also prove to you that our answer is correct.
First, note that 1000 multiplied by .326 will get rid of the decimal point. Therefore, make a fraction where the numerator is .326 times 1000 and denominator is 1000 like this:
.326 x 1000
1000
Next, multiply the numbers in the numerator together and keep the denominator as is. Now our fraction looks like this:
326
1000
The greatest common factor of 326 and 1000 is 2, which means you can divide the numerator and denominator by 2 and keep the same value:
326 ÷ 2
1000 ÷ 2
And when calculating the numerator and denominator in our fraction above, we get .326 as a fraction in the simplest form possible:
.326 =
163
500
Find all vertical asymptotes of the following function f(x)=9x^2-64/2x+14
Answer:
Step-by-step explanation:
Was the latter half of this function, -64 / 2x + 14, meant to be:
-64 / 2x + 14, or
-64 / (2x + 14)?
In the first case the vertical asymptote is x = 0.
In the second, the vertical asymptote is the root of 2x + 14, or x = -7
Use parentheses in problems such as this one, to eliminate ambiguity.
PLS HELP ASAP thx>3
In a certain Algebra 2 class of 26 students, 6 of them play basketball and 15 of them play baseball. There are 9 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
[tex]\frac{2}{13}[/tex]
Step-by-step explanation:
Since there are 26 students in the class and 6 play basketball, 15 play baseball, and 9 play neither, we need to find the intersection ([tex]\cap[/tex]) of the students who play basketball and the students who play baseball to find the number of students who play both.
Since it would appear that we would have 30 students total if we added up the ones who play basketball, baseball or neither, the intersection will be the difference between this total and the actual number of students in the class (26).
Therefore, the number of students who play both sports is [tex]6+15+9-26=4\:\text{students}[/tex]
Since there are 26 students in the class, the probability of randomly choosing one that plays both sports is:
[tex]\frac{4}{26}=\boxed{\frac{2}{13}}[/tex]
Pls I’m begging my soul
Answer:
2.
3p+15−8+11p
=3p+15+−8+11p
Combine Like Terms:
=3p+15+−8+11p
=(3p+11p)+(15+−8)
=14p+7
Answer:
=14p+7
3.
Let's simplify step-by-step.
14p+15−8
=14p+15+−8
Combine Like Terms:
=14p+15+−8
=(14p)+(15+−8)
=14p+7
Answer:
=14p+7
4. Factor 14p+7
14p+7
=7(2p+1)
Answer:
7(2p+1)
Simplify the left side of equation so it looks like the right side. cos(x) + sin(x) tan(x) = sec (x)
Step-by-step explanation:
Consider LHS
[tex] \cos(x) + \sin(x) \tan(x) = \sec(x) [/tex]
Apply quotient identies
[tex] \cos(x) + \sin(x) \times \frac{ \sin(x) }{ \cos(x) } = \sec(x) [/tex]
Multiply the fraction and sine.
[tex] \cos(x) + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x) [/tex]
Make cos x a fraction with cos x as it denominator.
[tex] \cos(x) \times \cos(x) = \cos {}^{2} (x) [/tex]
so
[tex] \frac{ \cos {}^{2} (x) }{ \cos(x) } + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x) [/tex]
Pythagorean Identity tells us sin squared and cos squared equals 1 so
[tex] \frac{1}{ \cos(x) } = \sec(x) [/tex]
Apply reciprocal identity.
[tex] \sec(x) = \sec(x) [/tex]
Find all solutions to the equation. cos x = -1/2
Answer:
^^
Step-by-step explanation:
Answer:
You didn't add the range. I'll use (0<x<2π)
cosx = -1/2
x=-cos-¹(1/2)
x= -60°
Cosine is negative in the second and 3rd quadrants
180-x ---- Second quadrant
x+180 ----- 3rd quadrant
So
Our answer
180-(-60)=240° or 4π/3 second quad
180+(-60) = 120° or 2π/3---- 3rd quad
The boys basketall team averages 52 points per game with a standard deviation of 7.0 points. What is the probability that the boys will score between -1.2 and 2.0 standard deviations of their average?
Answer:
0.6832
Step-by-step explanation:
Given :
Mean, m = 52
Standard deviation, s = 7
-1.2 standard deviation of average = 57 - 1.2(7) = 57 - 8.4 = 48.6
2 standard deviations of average = 57 + 2(7) = 57 + 14 = 71
Zscore = (48.6 - 52) / 7 = - 0.486
Zscore = (71 - 52) / 7 = 2.714
P < -0.486) = 0.31348
P < 2.714 = 0.99668
P < 2.714 - P < -0.486 = (0.99668 - 0.31348) = 0.6832
What is the circumference?
(radius = 4)
Answer:
25.13
Step-by-step explanation:
C = 2πr
C = 2π(4)
C = 25.13
Hope this helps!
Mila graphs the point A (5, 0) on a coordinate plane.
Which of the following statements are true?
Select all that apply.
Point A is 5 units to the________(Please fill this box any of these choices in A-E)
A. right of the origin and up 1 unit.
B. The x-coordinate of point A is 5.
C. The y-coordinate of point A is 5.
D. Point A is on the y-axis.
E. Point A is on the x-axis.
Answer:
B,E
Step-by-step explanation:
(5,0) (5=x, 0=y)
A is false because y = 0
B is true because x=5
c is false because y = 0
D is false because again y = 0
E is true because 5,0 is on the x axis
- Gage Millar, Algebra 2 tutor
PLEASE ASAP ILL GIVE BRAINLIEST.
Answer:
It would be the fourth one
Step-by-step explanation:
The line y = 6 - 2x passes through the point (2, 2)
is it correct?
Answer:
Yes
Step-by-step explanation:
We can substitute the point (2, 2) into the equation. So, in place of x would be 2 and in place of y would be 2 as well:
y = 6 - 2x
2 = 6 - 2(2)
2 = 6 - 4
2 = 2
Since the above is a true statement, the point (2, 2) must belong to the line y = 6 - 2x
Yes, the line y=6-2x passes through the point (2, 2).
Given that, the line y=6-2x passes through the point (2, 2).
What is the slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
Here, substitute (x, y)=(2, 2) is the given line y=6-2x, we get
2 = 6-2(2)
2 = 2
Since, LHS = RHS
Yes, the line y=6-2x passes through the point (2, 2).
To learn more about the slope intercept form visit:
brainly.com/question/9682526.
#SPJ2
33%
The diagram shows a square ABDE and an isosceles triangle BCD.
Angle C = 40°
Work out the size of angle EBC.
А
B
40°
E
Answer:
ans = <ebc= 115°
hope this will help
.
.
heyy! i’ll give brainliest please help.
For the given measure
, find the measure of the supplementary angle and the measure of a complementary angle, if possible. If not possible, type the word none in lowercase letters in the box.
82 degrees
Answer:
The supplementary angle is
153°.
The complementary angle is
63°.
Step-by-step explanation:
This is very right trust mne
Mark me brainlist
The measure of the supplementary angle and the measure of a complementary angle as follows; The supplementary angle is 153°. The complementary angle is 63°.
What are complementary angles?Two angles whose sum is 90° are called complementary angles.
Two angles whose sum is 180° are called supplementary angles.
If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.
Those two-two angles are two pairs of supplementary angles.
That means, if supplementary angles are aligned adjacent to each other,
their exterior sides will make a straight line.
Therefore, The supplementary angle is 153°.
The complementary angle is 63°.
Learn more about complementary angles here:
https://brainly.com/question/2882938
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the box and whisker plot below shows the volunteer service hours performed by students at indian trail middle school last summer
A rainwater collection tank is shaped like a cylinder with a diameter of 4 ft and a height of 6 ft. What is its volume?
Which inequality is true when the value of u is 10?
u – 3<-6 , u-3>-6 , -u-3>6 , -u-3>-6
Answer:
The answer is: u-3>-6
This is because 10-3=7 and 7>-6
I will mark you brainlist!
matthew made slightly larger blanket that was 8 Ft long. Its area is 64 sq ft what is its perimeter?
Answer:
32 ft
Step-by-step explanation:
Given data
Length= 8ft
Area= 64 f^2
Let us find the width
Area= Length*Width
64= 8* Width
Width= 64/8
Width= 8ft
Hence the perimeter= 2L+2W
P= 2*8+2*8
P= 16+16
P= 32 ft
hii i’ll give brainliest please help thanks :)
Answer:
a
Step-by-step explanation:
The cone and the sphere have the same volume. The diameter of the cone is 24 cm, and the diameter of the sphere is 18 cm.
What is the HEIGHT of the CONE? Use 3.14
Write the equation of the parallel line - x + 2y = 12 that goes through the
point (10,8).
Write your answer in in slope-intercept form,
y = m x +
b
slope
y-intercept
Answer:
Step-by-step explanation:
PLS ANSWER!! +GIVING BRAINLIEST FOR 1ST CORRECT ANSWER
Answer:
18
Step-by-step explanation:
mark me as
brainliest
18
Answer:
144 ounces
Step-by-step explanation:
B) Una empresa A gana S/ 42 758,35 en un ano. Si la empresa B gastara S/ 8774,55; tendria tantas ganancias como la primera empresa. Cual es la ganancia total de la empresa B?
Answer:
Las ganancias totales de la empresa B en dicho año fueron de $51.532,90.
Step-by-step explanation:
Dado que una empresa A gana $42.758,35 en un año, y si la empresa B gastara $8.774,55 tendría tantas ganancias como la primera empresa, para determinar cuál es la ganancia total de la empresa B se debe realizar el siguiente calculo:
Ganancias B - 8.774,55 = 42.758,35
Ganancias B = 42.758,35 + 8.774,55
Ganancias B = 51.532,90
Por lo tanto, las ganancias totales de la empresa B en dicho año fueron de $51.532,90.
A milk-dairy produces 25,545 litres of milk every day. It supplies 15,625 litres of milk to a milk-depot and rest to the market. How much milk is supplied to the market ?
Answer:
plz mark brainliest
Answer:12345678910
Step-by-step explanation:
Given: BD ≅ DE, CD ≅ DF
Prove: BC ≅ EF
answer:
statements
1. BD ≅ DE
2. CD ≅ DF
3. ∠BDC ≅ ∠EDF
4. ▲BDC = ▲EDF
5. BC ≅ EF
reasons
1. given
2. given
3. definition of vertical angles
4. SAS
5. CPCTC
step-by-step explanation:
vertical angles are equalSAS means side-angle-side — two triangles are congruent when they meet the "requirements" for SASCPCTC means corresponding parts of congruent triangles are congruent — when two triangles are congruent, their corresponding parts are also congruent