4. Marcella has 4 fewer male cousins than female cousins. Let f represent the number of female cousins. Write an expression for the number of boy cousins.
The expression for the number of boy cousins will be f – 4.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Marcella has 4 fewer male cousins than female cousins.
Let f represent the number of female cousins.
Then the expression for the number of boy cousins will be
⇒ f – 4
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Solve by elimination.
5x - 6y = 27
7x + 6y = 9
Show work pls
Answer:
x = 3y = - 2Step-by-step explanation:
5x - 6y = 27 .......... Equation 1
7x + 6y = 9 ………… Equation 2
To solve using elimination add the second equation to the first one to eliminate y
That's
5x - 6y + 7x + 6y = 27 + 9
12x + 6y - 6y = 36
12x = 36
Divide both sides by 12
x = 3
Substitute it into any of the equations
Using equation 2
That's
7(3) + 6y = 9
21 + 6y = 9
6y = - 12
Divide both sides by 6
y = - 2
The solutions are
x = 3
y = - 2
Hope this helps you
If one side of a square measures (3x − 8) ft. , find the area of the square. Show work.
Answer:
[tex]\huge\boxed{A=(9x^2-48x+64)ft^2}[/tex]
Step-by-step explanation:
The formula of an area of a square:
[tex]A=s^2[/tex]
[tex]s[/tex] - side of a square
We have [tex]s=(3x-8)ft[/tex]
Substitute:
[tex]A=(3x-8)^2[/tex]
METHOD 1:
Use [tex](a-b)^2=a^2-2ab+b^2[/tex]
[tex]A=(3x)^2-2(3x)(8)+8^2=9x^2-48x+64[/tex]
METHOD 2:
Use FOIL: [tex](a+b)(c+d)=ac+ad+bc+bd[/tex]
[tex]A=(3x-8)(3x-8)=(3x)(3x)+(3x)(-8)+(-8)(3x)+(-8)(-8)\\\\=9x^2-24x-24x+64=9x^2-48x+64[/tex]
Answer:
9x^2-48x+64 ft^2
Step-by-step explanation:
(3x − 8) (3x − 8)
Multiply 3x by (3x − 8)
3x(3x − 8)
9x^2-24x
Multiply - 8 by (3x − 8)
- 8(3x − 8)=-24x+64
Combine 9x^2-24x and -24x+64
9x^2-48x+64 ft^2
Hope this helps! Plz award Brainliest : )
Factor p2 + 18p + 32.
Answer:
the answer is ( p+2 ) (p+16)
What two integers have the product of 28 and the sum of -11 ? a -2 and -14 b 4 and 7 c -4 and -7 d 2 and 14
Hey there! I'm happy to help!
Let's look at the factors of 28.
1,28
2,14
4,7
We see that 4 and 7 add to make 11, but not -11. Well, we can just make both of them negative and then it will be -11 and their product will still be 28. Our numbers are -4 and -7.
Have a wonderful day! :D
6-2x = 5x - 9x + 14.
Answer:
X= 4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
[tex]6-2x=5x-9x+14\\6-2x=-4x+14\\6=-2x+14\\-8=-2x\\4=x[/tex]
4a. A create containing 24 bottles of fruit juice is made up of 10 bottles of oranges, 8 bottles of apple and 6 bottles of lemon. If one bottle is picked at random, what is the probability of getting a
Apple juice
Answer:
1/6
Step-by-step explanation:
Find the distance between (-2, 1), (-5,5)
Answer:
(-2, 1). (5,5) is 11.55
Use Order of Operations to solve. PEMDAS 7 + 8(32 -2) Use Order of Operations to solve.
Answer:
247
Step-by-step explanation:
32-2 First then multiply that by 8 to get 240
Last add the remaining 7
Hope this helped
Four friends race their bikes down the street. Evan finishes in 6.2 seconds, Devon in 6.0999 seconds, Liza in 6.188 seconds, and Tasha in 6.168 seconds. Which order shows the friends' times from fastest to slowest?
Answer: Devon, Tasha, Liza, Effon
Step-by-step explanation:
From the question, we are informed that four friends race their bikes down the street and that Evan finishes in 6.2 seconds, Devon in 6.0999 seconds, Liza in 6.188 seconds, and Tasha in 6.168 seconds.
The order that shows the friends' times from fastest to slowest is:
• Devon
• Tasha
• Liza
• Effon
Devon used 6.0999 seconds which is the fastest time, after then Tasha comes next with 6.168 seconds, then Liza with 6.188 seconds and lastly Effon with 6.2 seconds
find the area of the shape.
Step by step: Here,
Formula to find area=l×b
=(2x+3)×(x+4)
=6x × 4x
=24x
Or,
2x+3 × x+4
2xsquare+7
The Lee family pays an instructor $50 for Joylin’s 40-minute drum lesson. How much does the instructor charge per minute for the lessons?
Answer:
The instructor charges 1.25 per minute
Step-by-step explanation:
Take the amount of money and divide by the number of minutes
$50 /40 minutes
5/4
1.25
The instructor charges 1.25 per minute
What is the length of BC in the right triangle below?
A. ^234
B. 234
c. ^216
D. 216
We can use the pythagorean theorem to solve this
The pythagorean theorem = a^2 + b^2 = c^2, while
a = one leg
b = the second leg
c = the hypotenuse
In this problem,
a = 3
b = 15
c = ?
Let's plug our values into the pythagorean theorem
(3)^2 + (15)^2 = c^2
9 + 225 = c^2
Add together the left side
234 = c^2
Take the sqrt of both sides
sqrt(234) = c
The length of BC = sqrt(234)
Can you help me with the problem listed in the pictures below? Please and thank you. Will mark BRAINLIEST!!! :)
Answer:
14 books
Step-by-step explanation:
Let b = number of books at the beginning
She sold 1/2 of the books
b - 1/2 b
This is how many she had left
Then she bought 7
b - 1/2 b + 7
this equals 14
b - 1/2 b + 7 = 14
Combine like terms
1/2 b + 7 = 14
Subtract 7 from each side
1/2 b = 14-7
1/2 b = 7
Multiply each side by 2
1/2 b * 2 = 7*2
b = 14
She started with 14 books
If m /_ 4 = 35 find m /_ 2. Explain.
Answer:
A
Step-by-step explanation:
2 and 4 are on opposite sides of the transversal but both on the inside of the parallel lines. This makes them alternate interior angles, which are congruent.
Which pair of transformations could map AABC to AA'B'C', such that the triangles are similar but
not congruent?
1.a rotation and a reflection
2.a rotation and a translation
3.a dilation and a rotation
4.a translation and a reflection
Answer:
a dilation and a rotation
Step-by-step explanation:i got it on my iready
pair of transformations could map AABC to AA'B'C', such that the triangles are similar but not congruent is dilation and a rotation
What is dilation?Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.
According to the information
The congruency can't be obtain after dilation.
Also, to make transformation rotation should be done.
Hence, the transformation occur due to dilation and a rotation,
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You rode your bicycle for 20 minutes and burned 180 calories. How many calories did you burn per minute?
180 calories / 20 mins = 9 calories / minute
Answer:
9 calories every minute
Step-by-step explanation:
180/20=9
The product of 8 and a number of x
Answer:
8(x+3)
Step-by-step explanation:
Estimate a 15% tip on a dinner bill of $43.27 by first rounding the bill amount to the nearest ten dollars.
Answer:
6.00$
Step-by-step explanation:
43.27 rounds down to 40.00.
15% of 40.00 is 6.00
f(x)=8^x+7 what is f(3)
Answer:
Step-by-step explanation:
f(3) = 8^3 + 7 = 512 + 7 = 519
in the nature of the roots, what if the answer is negative what will be it's root?
a.rational and unequal
b.irrational and unequal
c.rational and equal
d.imaginary and unequal
please needed the answer right away......
Answer:
d.imaginary and unequal
Step-by-step explanation:
In an effort to address this problem, mathematicians "created" a new number, i, which was referred to as an "imaginary number", since it was not in the set of "Real Numbers". This new number was viewed with much skepticism. The imaginary number first appeared in print in the year 1545
The imaginary number "i" is the square root of negative one.
neg i
An imaginary number possesses the unique property that when squared, the result is negative.
Antonio has 150 baseball cards. He decided to give you 32% of his cards to you. How many cards did he give you?
Answer:
He gave you 48 cards.
Step-by-step explanation:
150 * 32% (which is also 0.32) is equal to 48.
Divide the percentage by 100.
32 / 100 = 0.32.
You then multiply 0.32 by 150 to get the part.
0.32 x 150 = 48.
32% of 150 is 48.
Your answer is 48 cards.
What is the standard form for a quadratic equation? _______________________________ What is the vertex form of a quadratic equation? __________________________________ What is the factored form of a quadratic equation
Answer:
I believe the standard form is: ax2+bc+c=0
Vertex form is:f(x)=a(x-h)2+k
Factored form is: y=1/2(x-6)(x+2)
Step-by-step explanation:
The ax2= ax squared and the (x-h)2= (x-h) squared
Does anyone know this?
Answer:
-124
Step-by-step explanation:
The equation for a discriminant is:
[tex]b^{2} -4ac[/tex]
So for
[tex]7x^{2} -4x +5=0[/tex]
a = 7 b = - 4 c = 5
Plug values into the equation.
[tex](-4)^{2} -4(7)(5)[/tex]
16 - 140 = -124
Answer:-124
Step-by-step explanation:
b^2 - 4ac
a = 7 b = -4 c = 5
-4^2 - 4*7*5
16 - 4*35
16 - 140
-124
p+8.94/3 = 3.82 whats p
Answer:
p=.84
Step-by-step explanation:
p=8.94/3=3.82
p+2.98=3.82
p=.84
Albert bought a jacket for $33.96, a pillow for $10.75, and a glove for $15.25. He paid $40 and the rest he borrowed from his friend. If albert got $0.04 in change from the cashier, how much did he borrow from his friend to pay all the items
i need help with math questions
Answer:
because entries in the table are frequency counts, the table is a frequency table. Entries in the total row and total column are called marginal frequencies or the marginal distribution
HELP PLEASE ITS EASY IM JUST DUMB 25 PTS CUZ I ONLY HAVE THAT!!!!!!!!!!!!!!! How small are microorganisms?
Answer:
Step-by-step explanation:
Microbes are generally described as being microscopic in size. ... In comparison to animal cells, microbes tend to be smaller. They are about 1/10th the size of a typical human cell. Microbes are generally measured in the scale of one millionth of a meter, which is known as a micrometer. i hope this is helpful.
The length of a rectangle is six times its width. If the perimeter of the rectangle is 140 yd, find its length and width.
Answer:
[tex] \boxed{ \sf{length \: of \: a \: rectangle = 60 \: yd}}[/tex]
[tex] \boxed{ \sf{width \: of \: a \: rectangle = 10 \: yd}}[/tex]
Step-by-step explanation:
Let the width of a rectangle be 'w'
Length of a rectangle ( l ) = 6w
Perimeter of a rectangle ( P ) = 140 yd
Finding the width of a rectangle
[tex] \boxed{ \sf{perimeter \: of \: rectangle= 2(length + breadth)}}[/tex]
[tex] \dashrightarrow{ \sf{140 = 2(6w + w)}}[/tex]
[tex] \dashrightarrow{ \sf{140 = 2 \times 7w}}[/tex]
[tex] \dashrightarrow{ \sf{140 = 14w}}[/tex]
[tex] \dashrightarrow{ \sf{14w = 140}}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{14w}{14} = \frac{140}{14}}} [/tex]
[tex] \dashrightarrow{ \sf{w = 10}}[/tex]
Width of a rectangle = 10 yd
Now, replacing / substituting the value of w in 6w in order to find the length of a rectangle
[tex] \dashrightarrow{ \sf{length = 6 \times x = 6 \times 10 = 60 \: yd}}[/tex]
Length of a rectangle = 60 yd
Hope I helped!
Best regards! :D
HELP ME ASAP DUE IN 10 MIN
Answer:
oh god i rushed so much.. i hope you understand..the written answers..if confused..please inform..
