5q - 21/14 = 1
First add 21/14 to both sides to get:
5q = 1 21/14
Simplify the right side:
21/14 = 3/2 = 1 1/2
Now you have 5q = 2 1/2
Divide both sides by 5:
q = 1/2
Ally and Beck went fishing and caught a total of 75 fish. At home,
Ally told Jair she caught twice as many fish as she actually caught.
Beck told Jair he caught three times as many fish as he actually
caught. If what they told Jair had been true, then Ally would have
caught 75 fewer fish than Beck. How many fish did Beck actually
catch?
Answer:
Beck actually caught 45 fish
Step-by-step explanation:
System of Equations
We call the following variables:
x = number of fish Ally caught
y = number of fish Beck caught
They caught a total of 75 fish, thus:
x + y = 75 [1]
If Ally had caught twice as much fish as she actually did, and Beck had caught three times as many fish as he actually did, then Ally would have caught 75 fewer fish than Beck, thus:
3y = 2x + 75 [2]
From [1]:
x = 75 - y [3]
Substituting in [2]:
3y = 2(75 - y) + 75
Operating:
3y = 150 - 2y + 75
Simplifying:
5y = 225
Dividing by 5:
y = 45
Beck actually caught 45 fish
Answer:
Beck caught 45 fish
Step-by-step explanation:
a = number of fish Ally caught
b = number of fish Beck caught
They caught a total of 75 fish, so we have:
b + a = 75
From the facts in our question we know Ally would have caught 75 fewer fish than Beck.
3b = 2a + 75
a = 75 - b
3b = 2(75 - b) + 75
3b = 150 - 2b + 75
5b = 225
5b ÷ 5 = 225 ÷ 5
b = 45
Beck caught 45 fish.
surface area of a sphere with radius 19
Answer:
A≈4536.46
Step-by-step explanation:
I hope this helps! ^^
☁️☁️☁️☁️☁️☁️☁️
Answer:
Radius 19
A ≈ 4536.46 .....ans
solve d+7=13 please!!!
Answer:
d=6
Step-by-step explanation:
d+7=13
-7 -7
-----------
d=6
Answer:
hi
Step-by-step explanation:
[tex]d + 7 = 13 \\ d = 13 - 7 \\ d = 6[/tex]
have a nice day bye
Help!!! Find c.
Round to the nearest tenth:
Answer:
[tex]c = 14.9cm[/tex]
Step-by-step explanation:
Given
[tex]b = 10cm[/tex]
[tex]B = 12^{\circ}[/tex]
[tex]A = 150^{\circ}[/tex]
Required
Determine the length of c
First, we calculate C (the third angle of the triangle).
[tex]C = 180 - A - B[/tex]
[tex]C = 180 - 150 - 12[/tex]
[tex]C = 18^{\circ}[/tex]
Using Sine's law, we make use of:
[tex]\frac{sin\ B}{b} = \frac{sin C}{c}[/tex]
By substituting values, we have:
[tex]\frac{sin\ 12}{10} = \frac{sin 18}{c}[/tex]
Cross multiply
[tex]c* sin\ 12 = 10 * sin\ 18[/tex]
Make c the subject
[tex]c = \frac{10 * sin\ 18}{sin\ 12}[/tex]
[tex]c = \frac{10 * 0.3090}{0.2079}[/tex]
[tex]c = 14.9cm[/tex] approximated
A movie theater sends out a coupon for 20% off the price of a ticket. Write an equation for the situation, where y is the price of the ticket with the coupon, and x is the original price of the ticket.
Answer:
y = 0.8x
Step-by-step explanation:
y = x-0.2x
y=x(1-0.2)
y=x(0.8)
hence y = 0.8x
Running out of time, Could i please get help
Answer:
D
Step-by-step explanation:
For an expansion (ax+b)^c the row that will help you is the c'th one
He is using the c'th row so look for something in the form (ax+b)^15
Only one that fits is D
Hair colors are an example of which type of data?
Answer:
Nominal data are used to label variables without any quantitative value. Common examples include male/female (albeit somewhat outdated), hair color, nationalities, names of people, and so on. In plain English: basically, they're labels (and nominal comes from "name" to help you remember). You have brown hair (or brown eyes).
zach read a book10 min every weekend for the first month 20min in 2nd month 40 min in third month and 80 min in 4th month
victoria read a book 35 everyweekend for first month 50 min second month 65 min third month 80 min 4 the month which method is used linear or exponential
Answer:
Zach time of reading every weekend forms a sequence with these terms: 10, 20, 40, 80. On the other hand, that of Victoria forms a sequence with terms: 35, 50, 65, 80. By keenly observing the sequences, Zach's sequence is a geometric sequence with a common ratio equal to 2 and Victoria's sequence is an arithmetic or linear sequence with a common difference of 15. Thus, the answer is letter B.
Step-by-step explanation:
ANSWER ASAP!!!!!!!!!!!!!!!
Answer:
linear and increasing
Step-by-step explanation:
uwu
What is the equation of the line that passes through the point (-3,2) and has a slope of -2/3
Answer: Y=2/3x+4
................................................
5/8 + 1/8 simplify
1. 6/8
2. 6/16
3 . 3/4
4. 3/8
Answer:
5/8+1/8=1/8×{5+1)=6/8=3/4
5/8-1/8=1/8×{5-1)=4/8=1/2
Tell whether the ordered pair is a solution to the system of linear equations. 1 point
63 + 3y = 12
(5.-6):
4x + y = 14
Yes
No
Maybe
Next
Page 1 of 3
Forms
Tell whether the ordered pair is a solution to the system of linear equations
Yes
No
Maybe
Answer:
(5,-6) is a solution
Step-by-step explanation:
Given
[tex]6x + 3y = 12[/tex]
[tex]4x + y = 14[/tex]
Required
Tell whether (5,-6) is a solution
In (5,-6): x = 5 and y = -6.
Substitute these values in the given equations
[tex]6x + 3y = 12[/tex] becomes
[tex]6 * 5 + 3 * -6 = 12[/tex]
[tex]30-18 = 12[/tex]
[tex]12 = 12[/tex]
[tex]4x + y = 14[/tex] becomes
[tex]4 * 5 - 6 = 14[/tex]
[tex]20 - 6 = 14[/tex]
[tex]14 = 14[/tex]
Because both solutions are true, then (5,-6) is a solution
The ratio of the number of girls to the number of boys was 4 to 5 if 1,530 students were present how many were girls and how many were boys?
Answer:
680 girls and 850 boys
Step-by-step explanation:
the ratio of girls is 4/9
then we can find the number of girls (G) in the group of 1530 students using proportions:
4 / 9 = G / 1530
solving for G by multiplying both sides of the proportion by 1530, we get:
G = 4 * 1530 / 9 = 680
So there were:
680 girls and 1530 - 680 = 850 boys
Answer:
the answer will be
girls 680
boys 850
What scale factor do you use to make
A 5mm object 100mm ?
Answer:
Utiliza una cifra que pueda ser resultado de dividir 100:5 y eso a su vez nos dará el valor que debe aumentar en la escala
A blogger had 400 subscribers to her blog in January. The number of subscribers has grown by a factor of 1.5 every month since then. Write a sequence to represent the number of subscribers in the 3 months that followed.
Answer:
[tex]600, 900, 1350[/tex]
Step-by-step explanation:
Given
[tex]a = 400[/tex] -- initial subscribers
[tex]b = 1.5[/tex] -- growth factor
Required
Determine the number of subscribers in the next three months
To do this, we make use of:
[tex]y = ab^x[/tex]
In this case:
x is the number of months
y is the number of subscribers
So:
when x = 1;
[tex]y = ab^x[/tex]
[tex]y = 400 * 1.5^1[/tex]
[tex]y = 400 * 1.5[/tex]
[tex]y = 600[/tex]
when x = 2
[tex]y = 400 * 1.5^2[/tex]
[tex]y = 400 * 2.25[/tex]
[tex]y = 900[/tex]
when x= 3
[tex]y = 400 * 1.5^3[/tex]
[tex]y = 400 * 3.375[/tex]
[tex]y = 1350[/tex]
So, the next three number of subscribers is:
[tex]600, 900, 1350[/tex]
How can 38 over 6 be expressed as a decimal?
A. 5.1 with bar over 1
B. 6.1 with bar over 1
C. 6.3 with bar over 3
Answer:
B
Step-by-step explanation:
C its C hopes this helps
Help ASAP I’ll mark brainliest
Answer: C. 254
Step-by-step explanation: All engineers is the population so this is stats and the number that chose math no matter what kind of engineer is 254
-1/2(2x-8) distribution
Answer:
-1x+4
Step-by-step explanation:
-1/2 times 2x equals -1x. -1/2 times -8 equals 4.
(1+h): - 1
A. lim
h>0
h
f(0) =
х
a =
1
B. lim
h>0
cos(1 + h) +1
h
f(3) =
a =
7T
5(4+ h)" - 5120
C. lim
h->0
h
f(x) =
a =
4
o
D. lim
h 0
e4h - 1
h
f(x) =
a =
e
Х
Pls take a look at the picture
Each of these limits correspond to the derivative of some function f(x) at a point x = a.
Recall the limit definition of a function f(x) :
f '(x) = lim [h → 0] ( f(x + h) - f(x) ) / h
Then if x = a, we get
f '(a) = lim [h → 0] ( f(a + h) - f(a) ) / h
From here, it's easy to identify what each function and point should be:
(a) f (a + h) = (1 + h)¹ʹ³ → f(x) = x ¹ʹ³ and a = 1
(that's a 1/3 in the exponent)
(b) f (a + h) = cos(π + h) → f(x) = cos(x) and a = π
(c) f (a + h) = 5 (4 + h)⁵ → f(x) = 5x ⁵ and a = 4
(d) f (a + h) = exp(4h) = exp(4 (0 + h)) → f(x) = exp(4x) and a = 0
(where exp(x) = eˣ )
Find the value of x. Please help!
Answer:
x = 3
Step-by-step explanation:
Using the triangle similarity theorem
x/x+3 = x+3/12
Cross multiply
12x = (x+3)(x+3)
12x = x²+3x+3x+9
12x = x²+6x+9
x²+6x+9-12x = 0
x²-6x+9 = 0
Factorize
x²-3x-3x+9 = 0
x(x-3)-3(x-3) = 0
x - 3 = 0
x = 3 twice
Hence the value of x is 3
Help I don’t know the answer
Answer:
the last one
Step-by-step explanation:
the input cannot be negative
HERE IS ANOTHER PROBLEM
ameliaswan
Answer:
-1.6 < √2 - 3 < -1.5
Step-by-step explanation:
√2 - 3 = -1.58
-1.5 is closer to 0 so it is larger than -1.5 and -1.6 is father from 0 than -1.58 and -1.5 so its less than
What is the volume of the figure below, in cubic centimeters?
2 rectangular prisms. One prism has a length of 12 centimeters, width of 9 centimeters, and height of 2 centimeters. The other prism has a length of 10 centimeters, width of 9 centimeters, and height of 8 centimeters.
756
936
1,008
1,080
The volume of the rectangular prism is V = 936 cm³
What is the Volume of a Rectangle?The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
To find the volume of the figure, we need to calculate the volumes of the two rectangular prisms separately and then add them together.
The volume of a rectangular prism is given by the formula:
Volume = length x width x height
For the first prism:
Length = 12 centimeters
Width = 9 centimeters
Height = 2 centimeters
Volume of first prism = 12 cm x 9 cm x 2 cm = 216 centimeters³
For the second prism:
Length = 10 centimeters
Width = 9 centimeters
Height = 8 centimeters
Volume of second prism = 10 cm x 9 cm x 8 cm = 720 centimeters³
Now, we add the volumes of the two prisms together to get the total volume of the figure:
216 cubic centimeters + 720 cubic centimeters = 936 centimeters³
Hence , the rectangular prism has volume of 936 cm³
To learn more about volume of rectangle click :
https://brainly.com/question/25422723
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How many real and how many are imaginary
Please Explain how to do it
Answer:
no idea bud
Step-by-step explanation:
Answer:
There are no real solutions, and 2 imaginary solutions.
Step-by-step explanation:
There are no real solutions since the function never touches the x-axis and it does not have any roots. Imaginary solutions always come in pairs, and since the exponent degree of x is 2, there are 2 solutions to the problem. You can find the imaginary solutions by plugging the equation into the quadratic formula.
sketch the graph of each function. Then State the domain, range and increasing, decreasing intervals. Part 3.
Answer:
19) Domain: - ∞ < x < ∞ 20) Domain: - ∞ < x < ∞
Range: - ∞ < y < ∞ Range: - ∞ < y < ∞
Increases throughout Decreases throughout
Step-by-step explanation:
Given the parent function " y = ∛x" we know that the first graph should have a vertical shift down 2 units, and a horizontal shift 4 units to the right. There is no vertical stretch since there is no coefficient. (Check first graph)
Domain: - ∞ < x < ∞
Range: - ∞ < y < ∞
Increases throughout
______________________________
For the second graph there should be a vertical shift down three units, a horizontal shift 1 unit to the left, and a vertical stretch by a factor of - 1. (Check second graph)
Domain: - ∞ < x < ∞
Range: - ∞ < y < ∞
Decreases throughout
Find the measure of CD.
Round to the nearest tenth.
mCD=[?]degrees
Answer:
m(arc CD) = 14.1 cm
Step-by-step explanation:
Measure of an arc of the circle = [tex]\frac{\theta}{360}(2\pi r)[/tex]
Here 'r' = radius of the circle
θ = Angle subtended by the arc at the center of the circle
From triangle OED,
sin(∠EOD) = [tex]\frac{ED}{OD}[/tex]
sin(∠EOD) = [tex]\frac{\frac{12.7}{2}}{9.06}[/tex]
= [tex]\frac{6.35}{9.06}[/tex]
= 0.7
m∠EOD = 44.498
≈ 44.5°
Angle subtended by the arc CD at the center = m∠COD
= 2(44.5)
= 89°
m(arc CD) = [tex]\frac{89}{360}(2\pi)(9.06)[/tex]
= 14.07
≈ 14.1 cm
Andrew had 30 dollars to spend on 3 gifts. He spent 8
1
4
dollars on gift A and 5
4
5
dollars on gift B. How much money did he have left for gift C?
Andrew has 17 dollars left for gift c
Which statement is always true
Answer:
No picture so I can’t answer the question
Step-by-step explanation:
DJ Jacqueline is making a playlist for an internet radio show; she is trying to decide what 6 songs to play and in what order they should be played. If she has her choices narrowed down to 7 hip-hop, 14 pop, and 22 blues songs, and she wants to play an equal number of hip-hop, pop, and blues songs, how many different playlists are possible
Answer:
Probability of selecting two songs from each category
= (22C2)*(14C2)*(7C2)*6!
Step-by-step explanation:
The total songs in the playlist will be 6
Two songs from each playlist
Number of ways of selecting playlist
= N(select 2 from each category and then arrange the selected 6)
Probability of selecting two songs from each category
= (22C2)*(14C2)*(7C2)*6!
what is Pythagorean triples
Answer:
A pythagorean triplet is a set of three numbers which satisfies the pythagoreus theorum - ( a^2+b^2=c^2).
Example:
3, 4 and 5
3^2 + 4^2 = 5^2
9+ 16 = 25
I hope am right!