Answer:
B: 8 7/8 Lbs
Step-by-step explanation:
answer = [tex]15\frac{1}{8} -3\frac{1}{2} -2\frac{3}{4}[/tex]
step 1 find a common denominator
common denominator - 8
* apply *
[tex]\frac{1^*^1}{8^*^8} =\frac{1}{8} \\\\\frac{1^*^4}{2^*^4} =\frac{4}{8} \\\\\frac{3^*^2}{4^*^2} =\frac{6}{8}[/tex]
now we have
[tex]15\frac{1}{8} -3\frac{4}{8} -2\frac{6}{8}[/tex]
step 2 make each fraction a improper fraction
We can do this my multiplying the big number by the denominator and adding that to the numerator.
[tex]15*8=120\\120+1=121\\\frac{121}{8} \\\\3*8=24\\24+4=28\\\frac{28}{8} \\\\2*8=16\\16+6=22\\\frac{22}{8}[/tex]
now we have
[tex]\frac{121}{8} -\frac{28}{8} -\frac{22}{8}[/tex]
Now we can subtract
remember when subtracting fractions you only subtract the numerators. ( so we keep the denominator as 8 )
so 121 - 28 - 22 = 71
so the answer is [tex]\frac{71}{8}[/tex]
finally we want to change the answer back into a mixed fraction
To do this we divided 71 and 8
8 can go into 71 8 times
8 * 8 = 64
71 - 64 = 7
We're left with [tex]8\frac{7}{8}[/tex]
Electric current flowing through wire produces heat that
varies jointly as the resistance of the wire and the square of
the current. The resistance of two wires are in the ratio
2:3. What current passing through the second wire will
produce the same amount of heat as a current of 6 amperes
through the first wire?
A new color of green requires 5 yellow to 4 parts blue. If the paint mixer used 30 gallons of yellow, how many gallons of blue were needed
Answer:
24 gallons of blue
Step-by-step explanation:
The number of gallons of blue color needed is for the mixer in which 30 gallons of yellow used, 24
What is the ratio?A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.
Given that,
A new color of green requires 5 yellow to 4 parts blue
The paint mixer used 30 gallons of yellow
The number of gallons of blue color needed = ?
Ratio of yellow to blue in mixture = 5/4
So, if 30 gallons of yellow is used
then gallons of blue = ?
Suppose, gallons of blue = x
5/4 = 30/x
x = 24
Hence, the gallons of blue is 24
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Steve gets paid $50 a week plus $5 for each item he sells. He wants to know how many items he needs to sell, x, to make at least $220 in one
week
Select all the inequalities that represent the situation
HELLPPPPP
Answer:
Steve needs to sell 34 items.
Step-by-step explanation:
S= 5x+50
220=5x+50
-50 -50
170= 5x
/5 /5
34 = x
Check:
220= 5(34)+50
220=170+50
220=220
A grocery store clerk put only packages of glazed
donuts and packages of chocolate donuts on a
shelf. The ratio of the number of packages of
chocolate donuts to the total number of packages
on the shelf was 5 to 12. Which number could be
the number of packages of glazed donuts the clerk
put on the shelf?
A. 23 B. 18 C. 14 D. 32
Answer:
c. 14
Step-by-step explanation:
12 - 5 = 7
needs to be a multiple of 7 which 14 is
17
What is the center and radius of the circle with the equation
2? + y2 - 2x + 4y - 4 = 0?
1) Radius:
Center:
Answer:
[tex] Center = \boxed{1}, \: \boxed{ - 2} \: ; \: Radius = \boxed{3}[/tex]
Step-by-step explanation:
[tex] {x}^{2} + {y}^{2} - 2x + 4y - 4 = 0 \\ \\ ({x}^{2} - 2x + 1 - 1) + ( {y}^{2} + 4y + 4 - 4) - 4 = 0 \\ \\ ( {x}^{2} - 2x + 1) + ( {y}^{2} + 4y + 4) - 9 = 0 \\ \\ {(x - 1)}^{2} + {(y + 2)}^{2} = 9 \\ \\ {(x - 1)}^{2} + {(y + 2)}^{2} = {3}^{2} \\ \\ equating \: it \: with \\ \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ \\ h = 1 \\ k = - 2 \\ r = 3 \\ \\ center = \boxed{1} \: \boxed{ - 2} \: \: radius = \boxed{3}[/tex]
Write an exponential decay model for each situation. The value of x for each value of f(x) will lie between two consecutive whole numbers. List the whole numbers.
initial value: 1,800
decay rate: 7%
f(x) = 400
Answer:
The numbers are;
20 and 21
Step-by-step explanation:
A general form of an exponential decay model can be presented as follows;
f(x) = a·(1 + r)ˣ
Where;
f(x) = The output for a given input variable, 'x'
x = The input variable
a = The initial value
r = The growth (+ve) or decay (-ve) rate
When f(x) = 400, a = 1,800, r = -7% = -0.07, we get;
400 = 1,800 × (1 - 0.07)ˣ
(1 - 0.07)ˣ = 400/1,800 = 2/9
ln((1 - 0.07)ˣ) = ln(2/9)
x = ln(2/9)/(ln(1 - 0.07)) ≈ 20.73
The value of 'x' lies between 20 and 21.
BRAIN!!!!PLEASE HELP THIS IS MY LAST QUESTION OF THE DAY!!
Answer:
Attached file
Step-by-step explanation:
The equation for continuous compounding is [tex]A=A_oe^k^t[/tex]
where [tex]A[/tex] is the final amount, [tex]A_o=[/tex] the initial amount, [tex]k=[/tex] the interest rate, and [tex]t =[/tex] how much time is affecting it.
The equation for compound interest is [tex]A=A_o(1+\frac{r}{n} )^n^t[/tex]
where [tex]A=[/tex] the final amount, [tex]A_o=[/tex] the initial amount, [tex]r=[/tex] the interest rate, [tex]n =[/tex] the number of times the interest is applied per period (usually per year), [tex]t =[/tex] how many time periods elapsed (usually how many years the interest is applied).
Therefore you must set up all the equations with their respective units. If something is decaying, it will have a negative rate or a rate < 1. If something is growing, it will have a positive rate or a rate > 1.
which values are solutions to the inequality below, need explanation to better understand if it can be given.
Answer:
a b and d
Step-by-step explanation:
Alexandra is going to wrap the presents to give to her twin sisters for there birthday. How much wrapping paper will she need
Answer:
Step-by-step explanation:
2
-8(p - 4) = 96 solve for p
Answer:
-8
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLIEST
PLEASE SHOW WORK I WAS STUCK ON THIS ONE
Answer:
Your answer is $19.26
Step-by-step explanation:
I did the math
Answer:
C
Step-by-step explanation:
12.00x50%=6
12.00x7%=0.84
12+6+0.84=18.84
Which operation would you use to solve for x in the equation 3x = 15?
O Addition
O Division
O Squaring
O Subtraction
Answer:
division
Step-by-step explanation:
you need to get the x by its self because right now x is being multiplied by 3 tou divide it out
Answer:
Division
Step-by-step explanation:
you will divide both sides by 3..“the number that is disturbing x”
Antoine and Tess have a disagreement over how to compute a 15% gratuity on $46.00.
Tess says, “It is easy to find 10% of 46 by moving the decimal point one place to the left to get $4.60. Do that twice. Then add the two amounts to get 4 dollars and 60 cents + 4 dollars and 60 cents = 9 dollars and 20 cents for the 15% gratuity.”
How should Antoine respond to Tess’s method?
“Tess, the best way to find 15% of $46.00 is to multiply StartFraction 1 over 15 EndFraction by $46.00 to get $3.07, which is the 15% gratuity.”
“Tess, you found 20% of the number because you added 10% and 10%. You need to add 10% to One-half of 10%. Add $4.60 and $2.30 to get $6.90, which is the 15% gratuity.”
“Tess, the best way to find 15% of $46.00 is to multiply 0.015 and 46.00 to get $0.69, which is the 15% gratuity.”
“Tess, you should use a table with 5% segments to find the gratuity. Each 5% segment has a value of $9.20, so that is the 15% gratuity.”
Answer:
How would Antonio respond....she would say "Thanks for the practice ".
Tess is right about it being easy to find 10% of 46 by moving the decimal point 1 place to the left to get 4.60.....but there is no need to do that twice....because if u do 10% twice, ur doing 20%.
okay....once u get 10% of 46 = 4.60....then u figure 5% of 46 = (0.05(46) = 2.30....because 10% + 5% = 15%.....then u add those together.....4.60 + 2.30 = 6.90. This can easily be checked...15% of 46 = 0.15(46) = 6.9 ,just like 10% of 46 + 5% of 46 = 6.9
Answer:
Rergvfgvf
Step-by-step explanation:
Solve for the values of z
z(z-6)=0
Answer:
D. z=6
Step-by-step explanation:
the area of a rectangle is the same as the area of a square of side 12cm .if the rectangle is 16 long find its width.
Answer:
width = 9 cm
Step-by-step explanation:
the area of a 12cm square is 144
16w = 144
x = 9
what is the greatest common factor of the polynomials: 35x^4+10x^3+25x^2
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
5x^2
Step-by-step explanation:
35x^4 + 10x^3 + 25x^2 =
Break up each term into a product of all its prime factors.
= 5 * 7 * x * x * x * x + 2 * 5 * x * x * x + 5 * 5 * x * x
Now see which factors are in common to all terms.
GCF = 5x^2
2/9 of the students in the school are in 6th grade.
a. How many 6th graders are there if the school has 90 students?
b. How many 6th graders are there if the school has 27 students?
c. How many 6th graders are there if the school has x students? Write an
Answer:
a. 20
b. 6
c. y=2/9x
Step-by-step explanation:
which statement describes a way to find the median if the data set?
Answer:
Step-by-step explanation:
the sum of 54 and 4 times a number is 21, find the number please helppp
Answer:
- 8.25
Explanation:
let the unknown number be represented by x.
54 + 4x = 21
(subtract 54 from both sides)
4x = - 33
(divide both sides by 4)
x = - 8.25
i hope this helps! :D
Jordan fills several bags with oranges. This line plot shows the weight of each bag.
How many more pounds does one of the heaviest bags weigh than one of the lightest bags?
Enter your answer as a fraction in simplest form by filling in the boxes.
lb
Answer:
2 1/2
Step-by-step explanation:
The heaviest bag weighs 4 pounds, and the lightest bag weighs 1 1/2.
4 can be converted to 8/2 and 1 1/2 can be converted to 3/2.
8/2-3/2=5/2.
5/2 converts to 2 and 1/2 or 2.5
The heaviest bags weigh than one of the lightest bags by 2.5 pounds.
What is fraction?A number expressed as a quotient, in which a numerator is divided by a denominator.
The heaviest bag weighs 4 pounds,
and the lightest one weighs 3/2 pounds
The difference between the heaviest and lightest one is:
= 4-3/2
= 8/2-3/2
=5/2 pounds
= 2.5 pounds
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What is the probability of people choosing ice cream or soda? Write your answer as a decimal. 30points Only if you get it right
Answer 50% or .5 there are 2 things
Does anyone understand this?
Answer:
88
Step-by-step explanation:
11*4 = 44
4*4 = 16
11-4 = 7
7*4 = 28
44+16+28 = 88
factor 1/9 out of 1/9x+10/9
Answer:
11/9
Step-by-step explanation:
A $60 sweater is on sale for 25% off. There is an additional 10% discount offered if you sign up for a credit card. What is the sale price of the sweater if you sign up for a credit card?
Answer:$39
Step-by-step explanation:
Answer: $39.00 I'm pretty sure
Find the area of a pizza with radius 4 inches.
Answer:
50.24
Step-by-step explanation:
4x4x3.14
(4 because of the radius)
(3.14 because of pi)
Area and Perimeter.
Answer:
A = b x h
P = b + b + h + h
A = 84 in
P = 38 in
a= 84
p= 38
Like a neighbor, state farm is there.
Find an exact solution for √5-1/x = √5/2 Then find the approximate solution to the nearest tenth.
Step-by-step explanation:
[tex] \frac{ \sqrt{5 - 1 } }{x} = \frac{ \sqrt{5} }{2} \\ \\ x \sqrt{5 } = 2 \sqrt{5} - 2 \\ x = 2 - \frac{2 \sqrt{5} }{5} [/tex]
reposttttttt
Calculate the volume of a prism with a length of 7/8ft, width 2/3 ft and height 1/2 ft. BE SURE TO EXPLAIN ALL STEPS
Answer:
14/48 Feet
Step-by-step explanation:
First, you multiply 7/8x2/3 which equals 14/24, which makes the base of the prisim 14/24 feet. Then you need to multiply 14/24 ( the base) by 1/2 (the height). 14/24x1/2= 14/48.
The final answer is 14/48.
QUESTION BELOW PLS HELP
its a no
...............................................................
PLZ ANSWER FOR TEST
In triangle xyz, angle x measures 19.9° and angle
y measures 113.6°. what is the measure of angle z
A. 113.5°
B. 47.5°
C. 46.5°
D. 180°
Answer:
C
Step-by-step explanation:
19.9 + 113.6 = 133.5
180-133.5= 46.5
Answer:
[C] 46.5°
Step-by-step explanation:
Given:
In triangle xyz, angle x measures 19.9° and angle
y measures 113.6°. what is the measure of angle z
Note that:
Triangle = 180 degree
Solution:
Since,
x = 19.9 degree
y = 113.6 degree
then we have:
19.9 + 133.6 + z = 180
133.5 + z = 180
Subtract both sides by 133.5
133.5 - 133.5 = 180 - 133.5
x = 46.5 degree
Hence, the measure of angle z is 46.5
Also means that [C] 46.5 is the correct answer.
Kavinsky