Convert 7.5 gallons to quarts using a unit multiplier
Answer:
30 quarts
Step-by-step explanation:
4 quarts = 1 gallon
7.5 gallons * 4 quarts/ 1 gallon = 30 quarts
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 160-cm and a standard deviation of 1.2-cm. For shipment, 15 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is less than 159.4-cm. P(M < 159.4-cm) = 0.3085 Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
which choice is equivalent to the expression below?
6√7 - 5x√7 - x√7
[tex]6 \sqrt{7} (1 - x)[/tex]
HELP ASAP ILL GIVE BRAINLIST
The probability of a red candy being selected from a bowl is 0.9, and the probability of a pink frosted animal cookie being taken out of a different bowl is 0.4. What is the probability of getting both a red candy and a pink cookie?
Answer:
0.36
Step-by-step explanation:
Sabina has a box containing bottles of juice. The three flavors are
orange, mango and apple. The ratio of these flavor’s is 3 : 5 : 4 There are 35
bottles of mango juice. How many bottles are there altogether?
Answer:
[tex]36 + 35 = 71[/tex]
Step-by-step explanation:
[tex]3 + 5 + 4 = 12 \\ \\ 3 \times 3 = 9 \\ 5 \times 3 = 15 \\ 4 \times 3 = 12 \\ 9 + 15 + 12 = 36[/tex]
Answer:71 is correct
Step-by-step explanation:
3+5+4=12
3*3=9
5*3=15
4*3=12
9+5+12=36
36+35=71
Explain how to solve the equation
.
b – 7 = 12
Answer:
19
Step-by-step explanation:
Add 7 onto 12 to find answer.
Answer:
b = 19
Step-by-step explanation:
b = 12 + 7
Simplify 12+7 to 19.
pls help solve for x
Answer:
x=4
Step-by-step explanation:
(x-1+5)×5=(2+x+4)×4
or, 5×(x+4)=4×(x+6)
or, 5x+20=4x+24
or, 5x-4x=24-20
or, x=4
Below is a histogram representing the test scores from Mrs. Jackson's 2nd period History class. How many students scored a 90 or above?
Answer:
either 5 or 6
Step-by-step explanation:
I can't have a direct answer because you didn't get all of the histogram in there, but from what I can conclude from just this there's definitely either 5 or 6.
2axy-4a^2xy^2+6a^3x^2
Answer:
2ax(y-2ay^2+3a^2x)
Step-by-step explanation:
2axy-4a^2xy^2+6a^3x^2
Given data
we have the following expression
2axy-4a^2xy^2+6a^3x^2
let us factor this expression
we have
2ax(y-2ay^2+3a^2x)
The common factor is 2ax
And the factorized expression is 2ax(y-2ay^2+3a^2x)
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
15x — бу = 48
Answer:
Step-by-step explanation:
15x-6y=48
-6y=48-15x
y=-8+(15/6)x
y=(5/2)x-8
find the sum of 56, the product of 18 and - 3 and the positive difference between 52 and 29.... PLEASE
Answer:
25
Step-by-step explanation:
product of 18 and -3=18*-3= -54
positive difference=52-29=23
(18x-3)+56+(52-29)
= -54 + 56 + 23
=25
Audrey Baker bought 4 new tires for her
car. The cost of each tire was $75. The
Federal Excise tax was $5.10 per tire, and
the state sales tax was 7% of the cost of the
tires, excluding the excise tax. Find the
total cost of the tires.
Please show work
Answer:
the cost of the tire=341.4$
Write a simplified polynomial expression in standard form to represent the area of the rectangle below:
(See photo)
A. 2x^2 + 3x - 20
B. 2x^2 + 13x - 1
C. 2x^2 + 13x - 20
D. 2x^2 + 3x - 1
Answer:
A
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = length × breadth
= (2x - 5)(x + 4) ← expand using FOIL
= 2x² + 8x - 5x - 20
= 2x² + 3x - 20 → A
Find the measure of FG.
Answer:
8
Step-by-step explanation:
By power of a point, (x-2)(x+13) = (x-3)(x+16). Solving, we find that x=11, so FG= 11-3 = 8
PLEASE HELP ME ASAP!!!
Answer:
5.30
Step-by-step explanation:
Total cost = flat fee + cost per mile * number of miles
c(m) = 3.50 + .60m
Let m=3
c(3) = 3.50 + .60(3)
= 3.50 + 1.80
=5.30
Answer:
B: $5.30
Step-by-step explanation:
Each mile is $0.6, to get the result for 3 miles we would need to multiply $0.6 by 3. $0.60 * 3 = $1.8. Finally we would need to add the 3.50 to $1.8 resulting in $5.30
Add.
(-2+6x3 – 3x_) + (4x3 – 5 + x²)
Express the answer in standard form.
Enter your answer in the box.
HELP! TRIGONOMETRY QUESTION!!
Use the law of cosines, which says
189² = 215² + 123² - 2×215×123 cos(∠P)
==> cos(∠P) = 25,633/52,890
==> ∠P ≈ 61.06°
break up the denominator and write the product of two fractions see image belows
9514 1404 393
Answer:
1/sec(x) · 1/tan(x)
Step-by-step explanation:
The breakup can be accomplished any of several ways.
[tex]\dfrac{1}{\sec(x)\tan(x)}=\dfrac{1}{\sec(x)}\times\dfrac{1}{\tan(x)}=\dfrac{\cos(x)}{1}\times\dfrac{\cos(x)}{\sin(x)}[/tex]
1. How can you find the decimal forms of 3/12 and 2/9 .
Answer:
3/12 as a decimal is 0.25
2/9 as a decimal is 0.2 reapeted
Answer:
Answer written below
Step-by-step explanation:
Divide 3 by 12 and 2 by 9 using long division solve like normal long division if your divisor is bigger than your dividend add a zero on top and add a zero to the dividend.
Decimal form of 3/12:0.25
Decimal form of 2/9:0.22223
what percentage of 50kg is 65 kg?
Answer:
130
Step-by-step explanation:
65/50*100= 130
What is the volume of the cone? Round to the nearest cubic cm.
Answer:
the answer will be
184.31
HELP ME PLS!
i need the first 4 examples
Answer:
1) 6а-9b=3(2a-3b)
2)8a-12b=4(2a-3b)
3) 5ab-5ac=5a(b-c)
4) 6ax+6ay=6a(x+y)
The equation T squared = A cubed shows the relationship between a planet's orbital period, T, and the planet's mean distance from the sun, A, in astronomical units, AU. If planet Y is k times the mean distance from the sun as planet X, by what factor is the orbital period increased? k Superscript one-third k Superscript one-half k Superscript two-thirds k Superscript three-halves
Answer:
Ty = √k * Tx
The orbital period of Y has to be be multiplied by √k . or . k∧1/2
Step-by-step explanation:
The general equation:
T² = A³
is for the case of planet X
Tₓ² = Aₓ³
In the case of planet Y
Ty² = k * Aₓ³ . and Aₓ³ = Tₓ²
By substitution:
Ty² = k *Tₓ²
Ty = √k * Tx
Answer:
D: K^3/2
Step-by-step explanation:
Just took the test and this is right
PLEASEEE HELP!!
___ + 42= -18
and
-56+___=-84
i will give brainlist plus 50 points!!!!!
Answer:
-60 and -28
Step-by-step explanation:
-60 + 42= -18
CHECK:
-42-18=-60
-56+-28=-84
CHECK:
-84+28=-56
Hope this helps <3 Need thanks? Comment /hearthelp
Answer:
-60
-28
Step-by-step explanation:
x +42 = -18
Subtract 42 from each side
x+42-42 = -18-42
x = -60
-56 +y = -84
Add 56 to each side
y = -84+56
y = -28
i will mark brainliest!!!
Other answers: C. y=25x
D. y=25x+8.34
Answer:
Omg why are you soo beautiful? I love it
The distance between Kuala Pilah and Bangi is x km. A bus travelled from Kuala Pilah to Bangi at an average speed of 80 km/h. On the return journey from Bangi to Kuala Pilah, the bus travelled at an average speed of 100 km/h and it took 15 minutes less than the previous one. Calculate the value of x.
A. 80 km
B. 100 km
C. 120 km
D. 160 km
Answer:
100km
Step-by-step explanation:
Time taken to travel to Bangi:
x/80 hours
15min = 1/4hrs
Time taken to travel back:
x/80 - 1/4
x= x/(x/80-1/4)
x^2-100x=0
x(x-100)=0
x=0 (rejected) or x=100
Answer:
B. 100km
Step-by-step explanation:
Brainliest please
How do you simplify 3 times the square root 13?
Answer:
3√13
Step-by-step explanation:
3√13
This expression cannot be simplified because you cannot take any common factor outside the root.
The denominator of a fraction is 5 more than the numerator. if both the numerator and denominator are increased by 3, the the resulting fraction becomes 3/4. find the original fraction.
Answer:
12/17
Step-by-step explanation:
Let
Numerator of the fraction = x
Denominator of the fraction = x + 5
The fraction is
x / (x + 5)
if both the numerator and denominator are increased by 3, the the resulting fraction becomes 3/4.
x + 3 / (x + 5) + 3 = 3/4
x + 3 / x + 8 = 3/4
Cross multiply
(x + 3)4 = (x + 8)3
4x + 12 = 3x + 24
4x - 3x = 24 - 12
x = 12
Recall,
x / (x + 5)
= 12 / (12 + 5)
= 12/17
The original equation = 12/17
Can someone plz help me
Answer:
37500
Step-by-step explanation:
pattern is multiplying by -5.
-7,500*-5 = 37,500
Have a nice day! :-)
Express this to single logarithm
[tex] \frac{1}{2} log_{2}(m) - 3 log_{2}(n) + 2 log(q) [/tex]
Answer: [tex]\log_{2}\left(\frac{q^2\sqrt{m}}{n^3}\right)[/tex]
We have something in the form log(x/y) where x = q^2*sqrt(m) and y = n^3. The log is base 2.
===========================================================
Explanation:
It seems strange how the first two logs you wrote are base 2, but the third one is not. I'll assume that you meant to say it's also base 2. Because base 2 is fundamental to computing, logs of this nature are often referred to as binary logarithms.
I'm going to use these three log rules, which apply to any base.
log(A) + log(B) = log(A*B)log(A) - log(B) = log(A/B)B*log(A) = log(A^B)From there, we can then say the following:
[tex]\frac{1}{2}\log_{2}\left(m\right)-3\log_{2}\left(n\right)+2\log_{2}\left(q\right)\\\\\log_{2}\left(m^{1/2}\right)-\log_{2}\left(n^3\right)+\log_{2}\left(q^2\right) \ \text{ .... use log rule 3}\\\\\log_{2}\left(\sqrt{m}\right)+\log_{2}\left(q^2\right)-\log_{2}\left(n^3\right)\\\\\log_{2}\left(\sqrt{m}*q^2\right)-\log_{2}\left(n^3\right) \ \text{ .... use log rule 1}\\\\\log_{2}\left(\frac{q^2\sqrt{m}}{n^3}\right) \ \text{ .... use log rule 2}[/tex]