Answer:
10
Step-by-step explanation:
First convert them to improper fractions
5 4/6 = (5×6 + 4)/6= 34/6
4 1/3 = (4×3 + 1)/3=13/3
Now make them have the same denominator. In order to do this, you must multiple 13/3 by 2/2, so both the denominators equal 6.
13/3 × 2/2 = 26/6
34/6 + 26/6 = 60/6 = 10
The local shelfer
d of their dogs and cats in
preparation for the holidays. The sale
was $ 100 for a dog and $15 for a
cat. If the shelter earned $1,390 for
seling dl 19 of their animds, how many
dogs and cats were adopted?
d + c = 19
100d + 15c = 1390
we can simplify the second equation
20d + 3c = 278
now d + c = 19
c = 19 - d
3c = 57 - 3d
now plug into second equation
20d + 57 - 3d = 278
17d = 278 - 57
17d = 221
d = 221 / 17
d = 13
now we can plug this into the first equation
13 + c = 19
c = 19 - 13
c = 6
13 dogs were sold and 6 cats were sold
Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?
187.15 divided by 19 is 9.85.
9.85 x 40 = 394
Therefore she earns $394 if she worked 40 hours.
Answer: $394
The standard diameter of a golf ball is 42. 67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0. 002 mm. Which function could represent this situation? f(x ) = x – |42. 67| f(x ) = |x| – 42. 67 f(x ) = |42. 67 – x| f(x ) = 42. 67 – |x|.
Using function theory, the function that could represent this situation is
f(x) = |42. 67 – x| .
It is given that
The standard diameter of the golf ball = is 42.67
Allowable discrepancy = ±0.002
So upper limit of diameter = 42.672
The lower limit of diameter = 42.668
We need a function that can help in finding a discrepancy.
What is a function?A function is a rule which determines the relation between two variables.
The correct function that could represent this situation will be
f(x ) = |42. 67 – x|
Where x is the diameter of the ball produced.
For example, if a ball of diameter 42.665 is produced
f(x) = |42. 67 – x|
f(42.665) = |42. 67 – 42.670| = 0.005 which is more than the permitted tolerance i.e 0.002.
So, one can easily decide whether to stop production or not.
Therefore, the function that could represent this situation is
f(x) = |42. 67 – x| .
To get more about function visit:
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please help in math!!! i need help in both (a) and (b) !! brainliest to who answers both!!
Part A
Answers:
Number of terms = 2Type = BinomialVariables = p and qNumerical coefficients = 4 and 7Degree = 3-------------------------
Explanation:
The two terms are separated by a plus sign. Since we have two terms, we have a binomial.
bi = 2nomial = names or termsThe variables are p and q, acting as placeholders for unknown numbers.
The coefficients are the numbers to the left of the variables, which are the 4 and 7.
The degree of multivariable polynomials is found by adding up the exponents for each term, then picking the largest sum. In each case, we get a sum of 3 for each monomial. The degree of the entire polynomial is therefore 3.
==============================================
Part B
Answer: t^3 - 20t + 26
-------------------------
Explanation:
We have an expression of the form
(6t^3-3t+5) - x = (5t^3 + 17t - 21)
which rearranges to
-x = (5t^3 + 17t - 21) - (6t^3-3t+5)
-x = 5t^3 + 17t - 21 - 6t^3 + 3t - 5
-x = (5t^3 - 6t^3) + (17t+3t) + (-21-5)
-x = -t^3 + 20t - 26
x = -(-t^3 + 20t - 26)
x = t^3 - 20t + 26
An oil is well produced 2356 barrels per day. How many barrels would it produce in april
Answer:
The oil would produce 70,680 barrels in April.
Step-by-step explanation:
There are 30 days in April.
2356 x 30 = 70,680
Can some one answer these questions please!!!!
!!Use factoring expression!!
1. 7g-35
2. 60m+24n
3. 16w+6w+10
4. 40a+8b-24
5. 4r+ 28t-40
Thanks!!!!!
Answer:
1. 7(g-5)
2. 12(5m+2n)
3. 2(11w+5)
4. 8(5a+b-3)
5. 4(r+7t-10)
Step-by-step explanation:
simply take out the most common multiple of these numbers
What is the closest whole number approximation of √50?
Answer:
7
Step-by-step explanation:
√50 is close to √49
49 is a perfect square, 50 is close to 49.
√49 = 7
√50 ≈ 7.071068
Answer:
7
Step-by-step explanation:
[tex]\sqrt{50} =7.07[/tex]
Hope this helps
Which statement is NOT true?
Answer: C. is not correct because angle 2 and angle 5 are same side interior angles. Same side interior angles of parallel lines always add up to 180 degrees. Therefore, the only way angle 2 would be equal to angle 5 would be if they were both 90 degrees, which the two angles are not always right angles.
Explain how to find the mean of a data set.
Answer:
to find the mean you must add all of the numbers in a data set together and then divide by how many numbers there are.
Answer:
give brainliest?
Step-by-step explanation:
the mean or average of a data set is found by adding all numbers in the data and then dividing by the number of values in the set.
For example, if you have 10 numbers, you add them up and divide by 10. This would give you the mean of the data.
Here's another example with the numbers: 9,8,22,7,7,8,17
First add the numbers up: 9+6+20+7+7+8+20+2+2 = 81 Then divide 81 by the total number of data points, 9, and you get 9.
Theerefore the mean is 9.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Step-by-step explanation:
½+⅛ = ⁴/8 + ⅛ = ⅝
bold one's are answer.
hope this helps you.
There are three angles on a straight line. What could they be if they are all multiples of 5⁰ ?
The multiples of 5 include 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80...
Given that its a straight line, so the sum of three angles is 180°
So possible angles:
60°, 60°, 60°75°, 35°, 70°50°, 70°, 60°35°, 95°, 50°..
1. Solve the following inequality on your own paper and select the best answer below.
Answer:
C. y≥2
Step-by-step explanation:
y+5≥7
You must subtract 5 from both sides
y≥7-5
y≥2
3x + 7x - 3y = 12
what is the simplifyed equation?
Answer:
10x-3y=12
Step-by-step explanation:
In algebra, we always add alike terms. Meaning, when a set has numbers with the same variable, in this case it was x, we can add/substract/divide them to simplify the equations.
The edges of the bases of the frustum of a regular square pyramid have lengths 5 and 9, and the slant height of the frustum is 6.
What is the volume of the frustrum
I will give 100 points
We know that,
[tex]V = \frac{1}{3} (a{}^{2} + ab + b{}^{2})h \\ [/tex]
Also,
[tex]l {}^{2} = h {}^{2} + (b - a) {}^{2} [/tex]
[tex]6{}^{2} = h {}^{2} + (9 - 5) {}^{2} [/tex]
[tex]36 = h {}^{2} +16[/tex]
[tex]h {}^{2} = 36 - 16[/tex]
[tex]h = \sqrt{20} [/tex]
[tex]h = 4.47[/tex]
Now , putting the value in the formula of volume
we get,
[tex]V = \frac{1}{3} (5{}^{2}+ 5 \times 9 + 9{}^{2})4.47 \\ [/tex]
[tex]V = \frac{1}{3} (25 + 5 \times 9 + 81)4.47 \\ [/tex]
[tex]V = \frac{1}{3} (25 + 45 + 81)4.47 \\ [/tex]
[tex]V = \frac{1}{3} \times 151 \times 4.47 \\ [/tex]
[tex]V = 224.99[/tex]
Hence, the volume of the given frustum is 224.99 cubic unit
Helpppp :( I need help on this
Answer:
x = -7
Step-by-step explanation:
Replace the x with -7 and add 4 to -7 to get -3. Then multiply by 7 to get -21.
Answer:
X = -7Step-by-step explanation:
=> 7(x + 4)= -21multiply all the terms in the bracket by 7
=> 7x + 28 = -21make x the subject of formula
=> 7x = -21 -28subtract the value
=> 7x = -49divide both side by 7
=> x = (-49)/7divide -49 by 7
=> x = -7 Write down the first three terms of the sequence described.
The first term is 7; the term-to-term rule is 'add 3
Answer:
7, 10, 13, 16
Step-by-step explanation:
Given,
Frist term=7
term-to-term rule is add 3
Therefore first three terms will be
7, 7+3=10, 10+3= 13, 13+3=16
2 exterior angle bisector intersect an interior angle bisector at a point. What is the name of the point?
Answer:
Exterior angle bisectors of the side △ABC at vertices B and C intersect at D. Find ∠BDC if ∠BAC=40∘
Step-by-step explanation:
Can u please help me?
Step-by-step explanation:
I solved it by steps...
I hope you understand...
....................
Answer:
sub to juice_fox. ?....
Can anyone solve this?
Answer:
A) 96 cm
Step-by-step explanation:
Split into three parallelograms
Shape 1: 6 by 7 6×7=42
Shape 2: 3 by 4 3×4=12
Shape 3: 6 by 7 6×7=42
42+12+42=96
Answer:
96 cm
Step-by-step explanation:
Breaking the shape up into 3 smaller rectangles then finding the area of each gives us the total area
[tex]6*7=42*2=84[/tex]
[tex]3*4=12[/tex]
[tex]84+12=96[/tex]
Work out the circumference of a circle with radius 7.5cm.
Take pi too be 3.142
Answer:
47.13
Step-by-step explanation:
Answer:
mm99
Step-by-step explanation:
What is the rule that describes the following number pattern
0,25;2,5;25;250
Answer:
aₙ=0.25*10ⁿ.
Step-by-step explanation:
0.25*10=2.5; 2.5*10=25; 25*10=250.., then it can be written as aₙ=0.25*10ⁿ
what is the area ???
Answer:
87
Step-by-step explanation:
Split into three rectangles
Shape 1: 12 by 3 12×3=36
Shape 2: 3 by 5 3×5=15
Shape 3: 12 by 3 12×3=36
36+15+36=87
Answer:
87 yds
Step-by-step explanation:
simply break the shape into 3 smaller rectangles and find the area of each one
1st one [tex]12*3=36[/tex]
2nd one[tex]5*3=15[/tex]
3rd one[tex]12*3=36[/tex]
add up the areas [tex]36+36+15=87[/tex]
which expression is equivalent to √184 ?
a. 92 b. 2√46 c. 4√23 d. 4√46
Answer:
[tex]2\sqrt{46}[/tex]
Step-by-step explanation:
The factor of the 184 will be 2 × 2 × 46. Then the expression is equivalent to the expression 2√46, Then the correct option is B.
What is an equivalent?The equivalent is the expression that are in different forms but are equal to the same value.
The given expression is √184.
Then the factor of the 184 will be
184 = 2 × 2 × 46
Then the square root of 184 will be
√184 = 2√46
More about the equivalent link is given below.
https://brainly.com/question/889935
93 is 150% of what number?
Answer:
62
Step-by-step explanation:
93÷150=0.62
×100 = 62
Hope this helps!!!!
Answer:
62
Step-by-step explanation:
Divide
93/150% = 62
(100*93) / 150
9,300/150 = 62
The table shows some ordered pairs that belong to the continuous quadratic function Which of the following best describes the range of q?
Answer:
ion kno gang ask a teacher
What does it mean for lines to be parallel?
What does it mean for lines to be perpendicular?
Answer:
for lines to be Parallel it means they will never touch. Think of train tracks. The two rails will never touch each other. For lines to be perpendicular they have to meet each other to form a corner. think the edge of a desk.
Molly is having her birthday party at Pizza Party Palace. The costs involved are listed below. Pizza Party Palace requires a 10% deposit prior to the date of the event. If the deposit has been paid, how much is still owed for Molly's party?
Answer:
D.45
take the problem then times it by all your payments by each individual price
I NEED HELP IN 5 min HURRRRRRRRRRRRRY
Answer:
x = 100
Step-by-step explanation:
57 + x + 23 = 180
x + 80 = 180
x = 100
Answer:
100
Step-by-step explanation:
180-57
=123
123=x+23
x=123-23
x=100
A boy is older than his sister by 3 years five years ago, the ratio of their ages was 4:3. Find the present age. let the age of the boy be b and the age of the sister be s
Answer:
Let brother's present age be x and sister's present be y
x=y+3
5 years ago
x-5/y-5=4/3
Putting the value of x
y+3–5/y-5=4/3
y-2/y-5=4/3
3(y-2)=4(y-5)
3y-6=4y-20
y=14
x=14+3=17
Brother's present age =17years, sister's present age=14years