Which of the following customary units is the most appropriate unit to measure the capacity of a coffee pot?
A. gallon
B. pound
C. ounce
D. cup
Answer:
Cup
Explanation:
Gallon is too large, it'll spill over.
Pound is just... Obviously not. You use that to weight people...
And ounce is smaller than a cup but we're talking about the most appropriate unit therefore your answer is cup.
Hope that helps <3
Need some advice Please help me!!! also enjoy these points
Answer:
what type of help......
Twice the difference of a number squared and 7
Answer: 2(x^2-7)
Step-by-step explanation:
\frac { 3 ^ { p + 1 } - 3 ^ { p } } { 2 \times 3 ^ { p } } = 1
Answer:
Given equation:
[tex](3^{p+1} - 3^p) /(2 *3^p) = 1[/tex]Solving for p:
[tex]3^{p+1} - 3^p = 2 *3^p[/tex][tex]3*3^p - 3^p = 2 *3^p[/tex][tex]2 *3^p =2 *3^p[/tex]p - any real number
We can state the initial expression is correct for any value of p.
Answer:
True for all p
Step-by-step explanation:
Given equation:
[tex]\dfrac{3^{p+1}-3^{p}}{2 \times 3^{p}}=1[/tex]
Multiply both sides by [tex]2 \times 3^p[/tex]:
[tex]\implies 3^{p+1}-3^p=2 \times 3^p[/tex]
Add [tex]3^p[/tex] to both sides:
[tex]\implies 3^{p+1}-3^p+3^p=2 \times 3^p+3^p[/tex]
[tex]\implies 3^{p+1}=3 \times 3^p[/tex]
Rewrite 3 as 3¹:
[tex]\implies 3^{p+1}=3^1 \times 3^p[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}[/tex]
[tex]\implies 3^{p+1}=3^{1+p}[/tex]
[tex]\implies 3^{p+1}=3^{p+1}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):[/tex]
[tex]\implies p+1=p+1[/tex]
Subtract 1 from both sides:
[tex]\implies p+1-1=p+1-1[/tex]
[tex]\implies p=p[/tex]
Therefore as both sides are equal, true for all p.
what is the slope-intercept form of the liner equation 2x + 3y = 6?
x, y, -6, -3, -1,
[tex]\ - \frac{3}{2} [/tex]
[tex]\ - \frac{2}{3} [/tex]
2, 3, 6, +, -, =,
Answer: [tex]y = -\frac{2}{3}x+2[/tex]
Check out the diagram below.
======================================================
Work Shown:
[tex]2x + 3y = 6\\\\3y = 6-2x\\\\3y = -2x+6\\\\y = \frac{-2x+6}{3}\\\\y = \frac{-2x}{3}+\frac{6}{3}\\\\y = -\frac{2}{3}x+2\\\\[/tex]
The steps above show us subtracting 2x from both sides, then we divide both sides by 3 to fully isolate y.
The last equation is in [tex]y = mx+b[/tex] form with [tex]m = -\frac{2}{3}[/tex] as the slope and [tex]b = 2[/tex] as the y intercept.
a wheel has diameter 84cm.During a journey the wheel make 800 complete revolutions. how many meter does it travel?
Answer:
2110.08 meters
Step-by-step explanation:
find the circumference of the wheel
Divide 84 by 2 to find the radius.
84/2=42
C=2πr
C=2(3.14)(42)
C=263.76 cm
263.76*800=211008cm
Divide by 100 to convert to meters
211008/100=2110.08
2110.08 Meters
Hope this helps!
Justin needs 9 pieces of rope that are
1 1/2 feet long each. He says he can cut the 9 pieces from a 12 3/4 foot long rope. Is Justin correct? Write an equation with a complex fraction to support your answer.
Answer:
no.
Step-by-step explanation:
half of 9 ft is 4.5 ft, 9 + 4 and 1/2 is 13 1/2
math can you please help me?
Answer:
The answer will be -5
You are welcome:)
Step-by-step explanation:
[tex]\sf -8(6x+3)[/tex]
_________
[tex] \: [/tex]
-8(6x + 3) = ...
= (-8 × 6)x + (-8 × 3)
= -48x - 24✔
evaluate and simplify the expression when x=3 and y =5 2y + 3(x-y) + x^2=
Rylee is paid $32 for 8 hours of work. What is her hourly rate?
Answer:
$4 per hour
Step-by-step explanation:
$32 per 8 hours of work
We can just divide 32 by 8
32 / 8 = 4
So her hourly rate would be $4 per hour
we can check this
by $4 * 8 (hours) = $32 per 8 hours of work
Her hourly rate is $4 per hour
Pls help me figure this out :D
Answer:
Well in this case the solution would be x = 19/9, I hope this helps! :)
how can 1/5 + (-4/5) be modeled on a number line ? complete the sentance. then move 4/5 in the ? direction
Answer:
negative direction
Step-by-step explanation:
A negative and a positive make a negative:
1/5 + (-4/5) = 1/5 - 4/5
Hope this helps!
need help!!!
which addition matches the problem...
Answer:
The addition that matches the problem is the first one.
Step-by-step explanation:
The red line goes back 8 so it is a -8 and the blue line goes forward 4 so it is a postive 4.
4 + (-8) = -4
Which statement represents the biconditional statement of the conditional statements?
If an angle measures 90º, then the angle is right.
If an angle is right, then the angle measures 90º
1) An angle measures 90º if and only if the angle is right.
2) An angle does not measure 90º if and only if the angle is right.
3) An angle does not measure 90º if and only if the angle is not right.
4) An angle measures 90º if and only if the angle is not right.
Answer:
1
Step-by-step explanation:
It is the only one that makes sense!
(Apologies since this super late; I hope future students will find this helpful)
Answer:
An angle measures 90º if and only if the angle is right.
Step-by-step explanation:
See the image below :)
Please solve no.a) from here for me
Answer:
x < 1 and x > -2
Step-by-step explanation:
5x - 1 < 4 and 3x + 5 > x + 1
Step 1.) Transfer the -1 over by the 4 by adding it because you use the opposite symple when its transfered.
5x < 5 and 3x + 5 > x + 1
Step 2.) Divide 5 by 5 to get the variable alone
x < 1 and 3x + 5 > x + 1
Step 3.) Subtract x from 3x which gives 2x and subtract 5 from 1 which gives -4
x < 1 and 2x > -4
Srep 5.) Divide -4 by 2 to get the variable alone and you get -2
x < 1 and x > -2
chứng minh: x(4+1/3*x+48)=1440
Step-by-step explanation:
1
3 x2+52x=1440
Step 2: Subtract 1440 from both sides.
1
3 x2+52x−1440=1440−1440
1
3 x2+52x−1440=0
For this equation: a=0.3333333333333333, b=52, c=-1440
0.333333x2+52x+−1440=0
Step 3: Use quadratic formula with a=0.3333333333333333, b=52, c=-1440.
x=
−b±√b2−4ac
2a
x=
−(52)±√(52)2−4(0.333333)(−1440)
2(0.333333)
x=
−52±√4624
0.6666666666666666
x=24,−180
Answer:
x=24,−180
What’s does 120$ plus 40% mean
Answer:
ur suppose to find how much it is after the discount so for example in question 1 the discount is 40% so subtract that from 100% to get 60% then multiply this 60% by the origanial vaule which is 120 so for the answer for question 1 would be 72. Also when multiplying 60% u dont multiply by 60 u multiply it by 0.6
Hope this help and sry for the bad grammar
PLS HELP RIGHT NOW !!!!
Answer:
1-*8364464737353=kgkdtyry
i need an explanation what....wajfasjf
katie can mow at a constant speed rate of 4/5 lawns per hour
Answer:
y=4/5x+B
what is the whole question?
Chau rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 97 cents for each mile driven. Chau had to pay $306.13 when he returned the truck. For how many miles did he drive the truck?
Answer:
Chau drove 13.96 miles while he was using the truck
Step-by-step explanation:
Answer:
294 miles!!!!!!
Step-by-step explanation:
Is the following inequality true : 4 <_ 4 ?
Answer:
Yes
Step-by-step explanation:
This is true because it is asking you if this is less than or EQUAL TO. 4 = 4, making it true.
1. How much simple interest is earned on $3,000 in 9 years at an interest rate of
4.5%?
Can anyone help please? This is due tomorrow and I don’t understand this
Answer:
I = $1,215
Step-by-step explanation:
Principal (P ) = $3,000
interest rate (R ) = 4.5% or 0.045
time (in years) ( t )= 9
Use the simple interest formula:
I = P × r × t
I = $3,000 × 0.045 × 9
I = $1,215
Therefore, the simple interest earned on a $3,000 investment after 9 years is $1,215.
5x= 20 word problem
[tex]{{ \large{ \blue{ \rm{{↬}}}}}} \large \rm \: \: 5x \: = \: 20[/tex]
[tex]{{ \large{ \blue{ \rm{{↬}}}}}} \large \rm \: \: x \: = \: \cancel\frac{20}{5} \\ [/tex]
[tex]{{ \large{ \blue{ \rm{{↬}}}}}} \large \rm \: \: x \: = \: 4[/tex]
[tex] \mapsto \rm \: 5x = 20[/tex]
[tex] \mapsto \rm \: x = \cancel\frac{20}{5} \\ [/tex]
[tex] \red \mapsto \ \boxed{ \rm \red { = 4}}[/tex]
guys pls help me!!!!!!
Answer:
[tex]x = 67[/tex]
Step-by-step explanation:
[tex]x = 67[/tex]
[tex]Alternate \:Intrerior \: Angles[/tex]
HELP ME AND ILL GIVE U BRAINLIST I PROMISE BUT ITS ONLY IF U GET IT RIGHT
Mother made a cake. the ratio of the flour is 2 cup to 1 cup. she used 4 cups of sugar how many cups of sugar did she use
Answer:
if it says she used 4 cups of sugar then she used 4 cups of sugar?
but if she used 4 cups of flour then she used 2 cups of sugar
Step-by-step explanation:
Hope this helps! :)
What is 4 ÷ 3/5 A.6 B.6 2/5 C.6 2/3 D.8
(about) 6.6 or 6 2/3
find x if m<2=6x-12
a)12
b)9
c)6
d)-7
Answer:
12 ,,............,.,...,,,.
The value of x is 12 (Option a) if m∠2 = 6x - 12.
The given figure is an equilateral triangle, it means all three angles are equal. Therefore, we can assume that m∠2 is one of the angles of the equilateral triangle.
From the given information, we have:
m∠2 = 6x - 12
Since all angles of an equilateral triangle are equal, we can set up the equation:
m∠2 = m∠1 = m∠3
Let's assume m∠1 = m∠2 = m∠3 = y (where y represents the measure of each angle in the equilateral triangle).
We can equate the measures of the angles:
y = 6x - 12
Now, let's solve this equation to find the value of x:
6x - 12 = y
Since y represents the measure of each angle in the equilateral triangle, we can substitute y with 60° (since the sum of the angles in an equilateral triangle is 180°, and each angle is 60°).
6x - 12 = 60
Adding 12 to both sides:
6x = 72
Dividing both sides by 6:
x = 12
Therefore, the value of x is 12.
So, the correct option is: (a) 12
To know more about value, refer here:
https://brainly.com/question/22572776
#SPJ2
Write the equation of the line through
(4, 4) and (2, 2) in point-slope form.
Answer:
y-4=1x-4
Step-by-step explanation:
put in format : y2-y1=m(x2-x1)
y-4 = 1(x-4)
distribute
y-4=1x-4
