Problem 18
Answers:
~P -> Q: "if it is not fall, then the leaves change colors"
~P -> ~Q: "if it is not fall, then the leaves don't change colors"
P -> ~Q: "If it is fall, then the leaves don't change colors"
Q -> ~P: "If the leaves change colors, then it is not fall"
----------
Explanation:
Simply replace each letter with the corresponding definition. We replace each P with "it is fall" and each ~P with "it is not fall". The squiggly line means "not". The same idea applies with Q and ~Q.
==========================================
Problem 19
Answer: Choice A) 134
----------
Explanation:
AB = CD
8x = 4x+24
8x-4x = 24
4x = 24
x = 6
BC = 18x+26
BC = 18*6+26
BC = 134
==========================================
Problem 20
Answer: Choice C) x = 5 and y = 11
----------
Explanation:
(anglePQR)+(angleRQS) = 90
(12x-2)+(6x+2) = 90
18x = 90
x = 5
angle TQU = 90
10y-20 = 90
10y = 110
y = 11
==========================================
Problem 21
Answer: 99
----------
Explanation:
The remote interior angles add to the exterior angle (remote interior angle theorem)
(angle RPQ) + (angle PQR) = angle PRS
(3x-29) + (7x-42) = 6x-3
10x-71 = 6x-3
10x-6x = -3+71
4x = 68
x = 68/4
x = 17
angle PRS = 6x-3
angle PRS = 6*17-3
angle PRS = 99
==========================================
Problem 22
Answer: 116
----------
Explanation:
Refer to the diagram below.
Solve 105+x = 180 to get x = 75
Solve 135+y = 180 to get y = 45
Solve x+y+z = 180 to get z = 60
Solve z+82+p = 180 to get p = 38
Solve p+78+q = 180 to get q = 64
Solve q+r = 180 to get r = 116
==========================================
Problem 23
Answer: B) between 4 and 44 inches
----------
Explanation:
We use a variation of the triangle inequality theorem here.
If p is the missing side length, then
24-20 < p < 24+20
4 < p < 44
So,
4 < XY < 44
The side XY cannot be 4 inches and it cannot be 44 inches either.
==========================================
Problem 24
4 Answers: A, B, C, D
----------
Explanation:
Same idea as problem 23
24-10 < x < 24+10
14 < x < 34
So we'll select values between 14 and 34, excluding each endpoint. Those values are x = 16, 18, 24, 26
In other words, only 12 and 34 are non-answers.
==========================================
Problem 25
Answer: C) 84 degrees
----------
Explanation:
The given exterior angle is 152 degrees
Subtract that from 180 to get the adjacent interior angle 180-152 = 28
Now let's find the missing angle of triangle DEB
D+E+B = 180
28+68+B = 180
96+B = 180
B = 180-96
B = 84
This is the measure of angle DBE
This is also the measure of angle ABC because the two angles are vertical angles.
Vertical angles are always congruent.
Use single digits times a power of 10 to estimate the number 0.00005423
Answer: 5.423 × 10^-5
A carpenter can build 8 cabinets in 3 hours. At this rate, how long will it take for the carpenter to build 26 cabinets?
a. 8 hours
c. 21 hours
b. 9 hours 45 minutes
d. 69 hours 20 minutes
Answer: 21 hours
Step-by-step explanation:
i’m not sure how to solve it i just guessed and got it right
Answer:
21
Step-by-step explanation:
There are 4 white and 8 red roses in a bouquet. Find the ratios.
1b). The ratio of the numbers of red roses to the number of all roses
Answer:
1a) 1:2
1b) 2:3
Step-by-step explanation:
1a) 4:8 = 1:2
1b) 4 white and 8 red means 12 total so ratio for red would be 2:3
Answer:
1 ÷ 22 ÷ 3Step-by-step explanation:
Given4 white and 8 red rosesTo findRatios of rosesSolutionRatio of white roses to red roses
4 ÷ 8 = 1 ÷ 2Ratio of red to all
Sum of roses
4 + 8 = 12Ratio
8 ÷ 12 =2 ÷ 3A bakery sold 57 vanilla cupcakes in a day, which was 95% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
Answer:
60
Step-by-step explanation:
the total cupcakes are:
(57/95) . 100 = 60
What is f(–2)?
help me...
Step-by-step explanation:
For examppe
f(x) = 3x + 1
f(-2) = 3(-2) + 1
= -6 + 1
= -5
1/2 divided by (-3) sorry I just don’t get any of this
Answer:
-1/6
Step-by-step explanation:
Maggie baked 96 cookies in 4 batches. What is the number of cookies per batch?
What is the solution to this system of linear equations?
y − x = 6
y + x = −10
a. (−2, −8)
b. (−8, −2)
c. (6, −10)
d. (−10, 6)
Answer:
B: (-8,-2)
you add the equation to solve the first variable, then plug in the values to the other equation to find the last variable
good Luck!!!
What do you learn at pirate school?
Mia is playing sseveral rounds of a word game. In each coordinate pair,x shows the number of the round and y shows mia's score for that round. Round 1: (1,3) round 2: (2,6) and round 3: (3,3). In round 4, Mia scores the same number of points as in round 2 and 3 combined. What is the coordinate pair that represents mia's score for round 4
Answer:
(4,9)
Step-by-step explanation:
Given
Round 1: (1,3)
Round 2: (2,6)
Round 3: (3,3)
Required
Determine the coordinate of Round 4
Since, Mia score is round 2 and 3 combined;
We have:
Round 4 = 6 + 3
Round 4 = 9
Hence:
The coordinates is (x,y)
Where
x = Round number
y = Score
So, we have: (4,9)
Round 4:
(4, 9)
x = round so 4
y = score of round 2 and 3 combined so 9 (6 + 3)
G f = h Solve the equation for f
Answer:
f = h/G
Step-by-step explanation:
Step 1: Write equation
Gf = h
Step 2: Divide both sides by G
f = h/G
answer please ^^ ty i will give brainliest for correct answer(s). :))
not math but a lot of people see math more than science XD
Answer:
1: is low accuracy and high precisian. 2: is low accuracy and low precisian. 3: is high accuracy and high precisian.
Step-by-step explanation:
answer to this???????
Answer:
At a bus stop, 8 people got off the bus and 10 people go on. This means that the number of passengers increased by 2.
Step-by-step explanation:
The first one would e -8-10=-18
Second one would just be wrong. Each goldfish would be 5/4 of a dollar, so it cannot be possibly represented by the equation.
It would just be 8x=10
The last one is correct because it accurately depicts 8 people getting off(-8) and 10 people getting on(+10) which means that the passengers increased by two. This corresponds to the given equation.
Determine the length of AS.
A. 12
B. 18
C. 3
D. 6
Answer:
C. 3
Step-by-step explanation:
2x+6
Divide 2 on both sides
x=3
The sum of two numbers is 57 and their difference is 23. What is the larger of the two numbers?
Answer:
x=17
Step-by-step explanation:
57-x-x=23
57-2x=23
2x=23-57
2x=34
divide both sides wth 2x to make the eqaution equal
x=17
What is the rate of change?
What is the Y- intercept?
Answer:
The y-intercept is -5 and I’m not sure about the rate of change
Step-by-step explanation:
in the diagram shown what is the ratio of shaded parts to unshaded parts?
Answer:
you didnt put the diagram
Answer:
I am pretty sure this is the picture for this and I need help to ASAP tysm if u help me I have time on this test
Step-by-step explanation:
Hope this helped to see what picture it was :)
NEED HELP ASAP WILL GIVE BRAINLIEST AND 15 POINTS
1/3x + 3 - 5/6x = -15
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~Combine~\frac{1}{3}m~and~-\frac{5}{6}m:[/tex]
[tex]\bold{\frac{1}{3}m+-\frac{5}{6}m=-\frac{1}{2}m }[/tex][tex]\bold{You~could~also~solve~this~by~turning~the~fractions~into~decimals.}[/tex][tex]2.)~Subtract~3~from~both~sides:[/tex]
[tex]\bold{3-3=Cancels~Out}[/tex][tex]\bold{-15-3=-18}[/tex][tex]\bold{We~do~the~opposite~of~what~we~see:+3,~meaning~we~subtract.}[/tex][tex]3.)~Multiply~both~sides~by -2:[/tex]
[tex]\bold{-\frac{1}{2}m}[/tex] × [tex]\bold{-2=Cancels~Out}[/tex][tex]\bold{-18}[/tex] × [tex]\bold{-2=36}[/tex][tex]\bold{The-2~is~from-\frac{1}{2}m.~Since~it's~dividing~we~do~the~opposite~and~multiply~by~-2.}[/tex]______________________________
[tex]\bold{Answer:}[/tex]
[tex]\bold{m=38}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~-TotallyNotTrillex}[/tex]
PLEASE ANSWER EASY 5 POINTS
Answer:
15(B)
Step-by-step explanation:
all of those angles add up to 180 on a line
9 times 15 is 135
3 times 15 is 45
135+45 is 180
MODELING WITH MATHEMATICS
You design a frame to surround a rectangular photo. The width of the frame is the same on every side, as shown.
a. Write a polynomial that represents the combined area of the photo and the frame.
b. Find the combined area of the photo and the frame when the width of the frame is 4 inches.
HelpppppppPPPPPPPPPPPPPPPP
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
If you solve this inequality you should get...
[tex]4<3+4x\\1<4x\\\frac{1}{4} <x[/tex]
So I don't know if you can but the answer is all three because 9, 7, and 1 are all greater than [tex]\frac{1}{4}[/tex].
what is the sum of -3.561 + 258.6
Answer:
255.039
Step-by-step explanation:
What is the equation of a line PARALLEL to y = 1/3x – 4 that passes through (9, 8)?
Answer:
[tex]y=\frac{1}{3} x+5[/tex]
Step-by-step explanation:
We know that since the equation of the line that we need to find has to be parallel, it must have the same slope. Also, the slope-intercept formula is:
[tex]y=mx+b[/tex]
Plugging in the values we know:
[tex]8=\frac{1}{3} (9)+b[/tex]
We solve for [tex]b[/tex] and get:
[tex]b=5[/tex].
So, the equation of our new line must be:
[tex]y=\frac{1}{3} x+5[/tex]
Jon has a $21.61 balance on a gift card that can be used to purchase online music. Each song download costs $1.29. Jon wants to maintain a $10 balance to purchase a new album that releases next month. How many songs can Jon purchase?
Answer: Jon can purchase 9 songs.
Step-by-step explanation: $21.61 - $10.00 = $11.61
$1.29 · 9 = $11.61
What is the y-intercept?
What’s the slop.? What is the equation of the line?
y intercept= -4
slope=1
equation= y=x-4
Answer:
Y intercept= -4
Slope= 1
Step-by-step explanation:
There are 216 identical plastic chips numbered 1 through 216 in a box. What is the probability of reaching into the box and randomly drawing the chip numbered 170? Express your answer as a simplified fraction or a decimal rounded to four decimal places.
Answer:
The probability of randomly drawing the chip numbered 170 is 1/216 or 0.0046
Step-by-step explanation:
Probability is the likelihood or chance of an event occurring. Probability can be determined using the formula below
Probability = Number of favorable outcome / Total number of possible outcomes.
From the question, we are to determine the probability of reaching into the box and randomly drawing the chip numbered 170.
Here, the number of favorable outcome is 1 (which is the chip numbered 170)
Total number of possible outcomes is 216 ( all the 216 identical plastic chips)
Therefore,
Probability = 1/216 or 0.0046
This is the probability of randomly drawing the chip numbered 170.
The probability of randomly drawing the chip numbered 170 is 1/216 or 0.0046
The line containing the points (30, 40) and (40, 60) has a y-intercept of?
Help help
Answer:
-20
Step-by-step explanation:
the slope is 2
2*30 = 60
40 - 60 = -20
Can someone PLEASE help me out??!!!!!!!
Answer:
[tex]\huge\boxed{66.42 \textdegree}[/tex]
Step-by-step explanation:
In order to solve for this missing angle, we can use trigonometry.
With angle B, we only have two sides: the adjacent of the angle and the hypotenuse of the angle. The adjacent side is the one laying directly next to the angle that isn't the hypotenuse.
Using SOH CAH TOA, we can see that the correct trig function for this would be cos because of CAH (Cosine = Adjacent over Hypotenuse)
Since we know the length of the sides but we don't know the angle, we are going to use inverse trig.
The adjacent side over our hypotenuse will be [tex]\frac{2}{5}[/tex] since 2 is the length of the adjacent and 5 is the length of the hypotenuse.
We know have the equation [tex]cos^{-1}(B) = \frac{2}{5}[/tex].
We now find what [tex]\frac{2}{5}[/tex] is (0.4) and find the inverse cosine of it. We can do this by plugging it into a calculator.
When we do this, we get the number [tex]66.42182152[/tex] etc. Rounding to the nearest hundredth gets us 66.42.
Hope this helped!
Help me with this please
Answer:
a -30
b - 40
c - 40
d - 40
e - 110
f - 110
g - 30
h - 140
i - 70
j - 70
I believe all of these are right. Sorry if they are not. I hope this helps!
alguien que me ayude por favor
i can't see the paper