Let's organize what the problem gives us:
Mr. Smith had 4 daughters.Each daughter had 4 brothers.We want to find how many kids Mr. Smith has.Step 2: WorkWe can already tell that the initial amount of kids Mr. Smith has before we factor in the brother count is equal to 4, for the 4 daughters that were stated as a given in the problem.
Now, the tricky part comes in the form of "each daughter had 4 brothers." Remember that within a family, everyone has the same siblings. It doesn't matter which family member's perspective you are looking from, but your siblings will always stay the same. We can show this with an example:
Suppose I had a family of 4 kids total. I had 2 daughters and 2 sons. Their names were Rose, Sakura, David, and Andrew. Rose would then have 3 siblings: Sakura, David, and Andrew. Sakura would also have 3 siblings: Rose, David, and Andrew, so on and so forth.
Applying this example and knowledge to our current problem, if Mr. Smith's daughters each had 4 brothers, then the total number of kids Mr. Smith has is 8 total kids (4 daughters + 4 sons) since each daughter's brother would be the same sibling.
This would be called double-counting if you counted that each daughter would have 4 different siblings, resulting in a false answer of 16 kids (4 daughters multiplied by 4 brothers for each daughter).
Answer∴ Mr. Smith has 8 kids.
___
Topic: Math
Unit: ?
Given that f(x) = x^2? + 9x + 18 and g(x) = x + 3, find (f ÷ g) (x) and express the result in standard form.
Answer:
x + 6
Step-by-step explanation:
(f ÷ g)(x)
= [tex]\frac{x^2+9x+18}{x+3}[/tex] factorise the numerator
= [tex]\frac{(x+3)(x+6)}{x+3}[/tex] ← cancel the factor (x + 3) on numerator/ denominator
= x + 6
Can someone please explain what I did wrong here? Thank you!
Answer:
[tex]P(Tamika)=\frac{1}{3} \times\frac{1}{3} =\frac{1}{9} \\P(Jayden)=\frac{1}{3} ;\\P=P(Tamika)\timesP(Jayden)=\frac{1}{9}\times\frac{1}{3}=\frac{1}{27}[/tex]
The human lung has about 80 million alveoli. Give two features of the alveoli that allow large amounts of oxygen to enter the blood.
Answer:
Alveoli forms the respiratory surface in human body.Each alveolus is sac like structure bounded by a single layer of epithelial cells.It is bound on the outside by a network of capillaries. The pulmonary artery from the heart containing deoxygenated blood enters the lungs and then becomes oxygenated after passing in the capillaries through the lungs.
find the average of the first 4 prime numbers greater than 10
Answer:
The average is mean
Mean is the sum of all the numbers divided by the total so the first prime numbers which are grater than 10 are 11, 13, 17, 19.
So we will add these
11+13+17+19=60
60/4= 15
SO 15 is the answer
Which equation can you use to calculate the
missing credit score?
*-780
1.07
28
x - 28
780=
1.07
28 =
x-1.07
780
Answer:
1.07=x-780/28
Step-by-step explanation:
Miss credit score: 810
Answer:
810
Step-by-step explanation:
Why are the solutions to the proportions StartFraction 50 over x EndFraction = StartFraction 10 over 20 EndFraction and StartFraction 10 over 50 EndFraction = StartFraction 20 over x EndFraction the same?
Answer:
x=100
Step-by-step explanation:
50/x=10/20 and 10/50=20/x
50/x=10/20
Cross multiplication
50*20=x*10
1000=10x
x=1000/10
x=100
Check:
50/100=
Divide by 5
10/20
10/50=20/x
Cross multiplication
10*x=50*20
10x=1000
x=1000/10
x=100
They are the same because the fraction that has the unknown both have the same ratio
Answer:
The anser is d edge 2020 lol
Step-by-step explanation:
2 Points
Which unit of measure would be appropriate for the volume of a sphere with a
radius of 2 meters?
A. Square meters
B. Centimeters
C. Meters
D. Cubic meters
SUBMIT
Answer:
D. Cubic meters
Explanation:
Anytime you see a question asking about volume, the units will always have cubic in it.
Answer:
D
Step-by-step explanation:
For the volume of a sphere with radius of 2 meters, Since here, the unit is "meters", so the volume of this sphere would be in cubic metres.
please answer asap for brainliest
Answer:
5/8
Step-by-step explanation:
count the squares between one point to the other
Answer:
slope= 7/4
Step-by-step explanation:
It is better to find a couple of line points on the plane whose coordinates are easy to read. two such points are: (-1,-3) and (3, 4) (see attached image).
Then use the slope formula with them:
[tex]slope=\frac{y_2-y_1}{x_2-x_1} =\frac{4-(-3)}{3-(-1)} =\frac{7}{4}[/tex]
Solve x* - 3x2 + 2 = 0 using substitution.
Answer:
x = -2/3 x=1
Step-by-step explanation:
We cant solve by substitution with just one equation
-3x^2 + x +2=0
Factor out a negative
-(3x^2 -x-2) = 0
Divide by negative 1
(3x^2 -x-2) = 0
Factor
(3x +2) (x-1)=0
Using the zero product property
3x+2 =0 x-1 =0
3x= -2 x=1
x = -2/3 x=1
Answer:
[tex]x = \frac{2}{3} \\ x = - 1[/tex]
Step-by-step explanation:
[tex]x - 3 {x}^{2} + 2 = 0 \\ - 3 {x}^{2} + x + 2 = 0 \\ - 3 {x}^{2} - 3x + 2x + 2 = 0 \\ - 3x(x + 1) + 2(x + 1) = 0 \\ ( - 3x + 2)(x + 1) = 0[/tex]
[tex] - 3x + 2 = 0 \\ - 3x = - 2 \\ \frac{ - 3x}{ - 3} = \frac{ - 2}{ - 3} \\ x = \frac{2}{3} [/tex]
[tex]x + 1 = 0 \\ x = - 1[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the following product? StartRoot 10 EndRoot times StartRoot 10 EndRoot
Answer:
it's 10
Step-by-step explanation:
i searched it up.
20. A certain conditional statement is true. Which of
the following must also be true?
A. converse
B. inverse
C. contrapositive D. all of the above
Answer:
C
Step-by-step explanation:
For f(x)=3x+1 and g(x)=x^2-6, find (f•g)(x).
Answer & Step-by-step explanation:
When we see (f * g)(x), it means that we are going to be multiplying f(x) and g(x) together.
f(x) = 3x + 1
g(x) = x² - 6
(3x + 1)(x² - 6)
Multiply each term from the first parentheses to the second parentheses.
3x³ - 18x + x² - 6
Combine like terms and make sure the expression is in standard form.
3x³ + x² - 18x - 6
So, your answer will be letter choice B.
If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x)
A) 2x-3
B)3x-3
C)4x+1
D)2x-1
Answer:
C.
Step-by-step explanation:
pls help i cant find
Answer:
Let's see the first two points: (-7, 5) and (-5, 9)
The line passes these points has a form of: y = Mx + b
=> 5 = (-7)M + b
9 = (-5)M + b
Subtract the 1st equation from 2nd equation, we have:
4 = 2M
=> M = 2
Substitute M back into 1st equation:
=> 5 = (-7)*2 + b
=> b = 19
=> y = 2x + 19
or y - 5 = 2x + 14
or y - 5 = 2(x + 7)
=> Option A is correct
Hope this helps!
:)
Answer:
A
Step-by-step explanation:
The difference between the values of y are constant, that is
17 - 13 = 13 - 9 = 9 - 5 = 4
This indicates the relationship is linear.
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 7, 5) and (x₂, y₂ ) = (- 5, 9) ← 2 ordered pairs from the table
m = [tex]\frac{9-5}{-5+7}[/tex] = [tex]\frac{4}{2}[/tex] = 2
Use any ordered pair from the table for (a, b)
Using (a, b) = (- 7, 5), then
y - 5 = 2(x - (- (- 7)) , that is
y - 5 = 2(x + 7) → A
20 PTS see image......................
Answer:
a-4/5+1/6 (n-1)
Step-by-step explanation:
Answer:
a-4/5+1/6 (n-1)
Step-by-step explanation:
What is 2 with an exponent of -2 equal to?
Answer:
1/4
Step-by-step explanation:
Answer:
[tex] \boxed{\frac{1}{4} } [/tex]
Step-by-step explanation:
[tex]{2}^{ - 2} = \frac{1}{ {2}^{2} } \\ \\ \: \: \: \: \: \: \: \: \: = \frac{1}{4} [/tex]
[tex] Negative \: exponent \\ \\ = > {a}^{-x} = \frac{1}{{a}^{x}} [/tex]
Use the quadratic formula to find both solutions to the quadratic equation given below
Answer:
both of the solution is B and C
Simplify the expression (3 - 4i)(1 + 5i) - (2 - i). Show your work
Answer: 12i + 21
Step-by-step explanation:
You want to apply foil to the first two terms.
3 x 1 = 35i x 3 = 15i-4i x 1 = -4i-4i x 5i = -20i^2You get 3 + 11i - 20i^2. i is equal to the square root of -1, so when you square it, you will get -1. Then do -1 x -20 to get +20
So far you have (11i + 23) - (-i + 2).
11i + i = 12i23 - 2 = 21Im 99% sure the answer is 12i + 21
Who knows this, Find m∠UTS, if m∠UTV=x+15, m∠VTS=140∘, and m∠UTS=15x+15
Answer:
165
Step-by-step explanation:
First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate. Then, you substitute all the values that you provided for the angles. 15x+15=x+15+140. You then solve for x.
15x+15=x+155
14x=140
x=10
You then plug back in 10 for X in the value of m<UTS. 15(10)+15=165
divide 405 in to the ratio 3:12
give answer in the form ... and ...
Answer:
81:324
Step-by-step explanation:
3+12=15
405 div 15 =27
3 times 27 = 81
12 times 27 = 324
81:324
Suma cyfr szukanej liczby dwucyfrowej jest równa 12. Jeżeli cyfry tej liczby przestawimy, to
otrzymamy liczbę większą o 18 od szukanej liczby. Wyznacz szukaną liczbę
Answer:
yes
Step-by-step explanation:
El resultado de la siguiente adición (- 6 x ᶺ 4 – 4 x ᶺ 3 + 7 x ᶺ 2 – 2 x) + (- 6 x ᶺ 3 + 4 x ᶺ 2 – 8 x + 10) es (Procedimiento)
- 6 x⁴ - 4 x³ + 7 x² - 2 x
+ .. . . - 6 x³ + 4 x² - 8 x + 10
------------------------------------------------------
-6 x⁴ -10 x³ + 11 x² -10 x + 10
Could someone help me
out with this question?
To which set of numbers does the number –5 belong? Select all that apply. integers natural numbers rational numbers real numbers whole number.
Answer:
integers
rational numbers
real numbers
Step-by-step explanation:
i answered the question:)
Using number sets, it is found that the number -5 belongs to these following sets:
Integer numbers.Rational numbers.Real numbers.----------------------------------
Numbers are classified as:
Whole numbers: Set of numbers including all positive numbers and 0, so: {0,1,2,...}. This set is also called natural. Integer numbers: Number without decimals, that can be positive or negative, so: {...,-2,-1,0,1,2,....} Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern, or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459(4459 repeating is the pattern). Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339. Real numbers: Rational plus irrational.----------------------------------
-5 is a negative number, so it is integer.All integers are rational and real, and thus, -5 is integer, rational and real.A similar problem is given at https://brainly.com/question/10814303
Corresponding angles form when a transversal intersects with two parallel lines.
True
False
Please help
Answer: True
When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. When the two lines are parallel Corresponding Angles are equal.
18x+30=6(2x-1). What is a first step to isolate the variable there can be more than one answer A. Subtract 30 from 18x +30 B. Divide both sides by 6 C. Multiple both sides by 6 D. Multiple 2x-1 by 6
Answer:
Divide both sides by 6
or
Multiply 2x-1 by 6
Step-by-step explanation:
18x+30=6(2x-1).
Divide both sides by 6
18x/6+30/6=6/6(2x-1).
3x +5 = 2x-1 or
We could multiply 2x-1 by 6
18x+30 = 6(2x-1)
18x+30 = 12x-6
Answer:
D
Step-by-step explanation:
18x+30=6(2x-1)
My first step would be to distribute the 6 so that the next step you can subtract 30 from both sides.
A pump empties the pool at the rate of 1,000 gal every 4 hours. how long does it take to pump out 20,000 gallons?
Answer:
80 hours
Step-by-step explanation:
We can use ratios to solve
1000 gal 20000
-------------- = ------------------
4 hours x hours
Using cross products
1000x = 4*20000
1000x = 80000
Divide each side by 1000
x = 80000/1000
x = 80
80 hours
is x^2 + y^2 = 5 a function
Answer:
No it is not a function.
Step-by-step explanation:
Answer:
No. This is NOT a function.
Step-by-step explanation:
i need help on this asap
Answer: optiond solve the values to get the answer
Best of luck for the test
if x=-1\3 is a zero of a polynomial p(x)=27xcube -axsquare -x+3 then find the value of a
Answer:
a = 21
Step-by-step explanation:
If x = h is a zero of a polynomial then f(h) = 0, thus
p(- [tex]\frac{1}{3}[/tex] ) = 27( - [tex]\frac{1}{3}[/tex] )³ - a(- [tex]\frac{1}{3}[/tex] ) - (- [tex]\frac{1}{3}[/tex] ) + 3 = 0, that is
27 (- [tex]\frac{1}{27}[/tex] ) - [tex]\frac{1}{9}[/tex] a + [tex]\frac{1}{3}[/tex] + 3 = 0
- 1 - [tex]\frac{1}{9}[/tex] a + [tex]\frac{10}{3}[/tex] = 0 ( multiply through by 9 to clear the fractions )
- 9 - a + 30 = 0
- a + 21 = 0 ( subtract 21 from both sides )
- a = - 21 ( multiply both sides by - 1 )
a = 21