Answer:
18
Step-by-step explanation:
Let number of girls be 'x'.
So, Number of boys = Number of girls - 4
= x - 4
Total number of students in a class = 40
Number of girls + Number of boys = Total number of students in a class
[tex] \longrightarrow [/tex] x + x - 4 = 40
[tex] \longrightarrow [/tex] 2x - 4 = 40
[tex] \longrightarrow [/tex] 2x - 4 + 4 = 40 + 4
[tex] \longrightarrow [/tex] 2x = 44
[tex] \longrightarrow [/tex] [tex] \sf \dfrac{2x}{2} = \dfrac{44}{2} [/tex]
[tex] \longrightarrow [/tex] x = 22
[tex] \therefore [/tex] Number of boys = 22 - 4
= 18
A 10 -foot ladder is leaning against a building. The base of the ladder is 3 feet from the side of the building. How high does the ladder reach along the side of the building? Answer exactly or round to 2 decimal places.
Answer:
The ladder is 5.20 feet tall on the side of the building
Step-by-step explanation:
Here, we simply want to calculate the height the ladder is from the base of the building
To get this, we need a pictorial representation of what we have here.
From what we have here, we have a right-angled triangle with a hypotenuse of 10 foot and a base of 3 feet
We apply Pythagoras’ theorem to get how far is the tip of the ladder from the base of building
Pythagoras’ stated that the square of the hypotenuse equals the sum of the squares of the two other sides
In this case, let the height be x
So;
x^2 + 3^2 = 6^2
x^2 = 6^2 - 3^2
x^2 = 36 - 9
x^2 = 27
x = √27
x = 5.196 feet
which to two decimal places is 5.20 feet
Benson purchased a $1,800 certificate of deposit that earns simple annual interest. At the end of 1 year, the certificate was worth $1,857.60.
What is the annual interest rate on this certificate of deposit?
Answer:
3.2%
Step-by-step explanation:
Here, we want to calculate the annual interest rate
The interest is = Amount - principal = 1857.60 - 1800 = 57.60
‘Mathematically;
Interest = PRT/100
P is 1,800
r is rate
t is time = 1
57.60 = (1800 * r * 1)/100
100 * 57.60 = 1800r
r = 5760/1800
r = 3.2%
A pound of chocolate costs 8 dollars. Lamar buys p pounds. Write an equation to represent the total cost ċ that Lamar
pays.
Answer:
8p=c
Step-by-step explanation:
The number of pounds Lamar buys multiplied by the cost of a pound which is 8 equals c. 8p=c
plz help, need this by end of tdy
Answer:a 120 and b:60
Step-by-step explanation: mark brainlilest
The value of varies directly with x. when y = 7.5 , x = 5. what is the value of y when x = 80?
Answer:
x=120
[tex]7.5 = 5 \\ x = 80 \\ \frac{5x}{5} = \frac{600}{5} \\ x = 120[/tex]
ayo
whats 2+2=?????
im so confused bro like frrrrrrr
also whats 9+10
thanks
Jesus u guys are slow so first to answer will get brainliest
Answer:
heyyyyyyyyyyyyyyyyyy.
what do you mean brainliest
18- 8x = 8 + 3(1 - 3x)
Work shown please!
Answer
7 = -x
Step-by-step explanation:
18- 8x = 8 + 3(1 - 3x)
18- 8x = 8 +3-9x
18- 8x = 11 - 9x
7- 8x = -9x
7 = -x
Answer:
x=-7
Step-by-step explanation:
step by step in picture.
Pleaseee Helpppp Meee question number 7 Plsssss
Answer:
:D
Step-by-step explanation:
1. reflect ABC across the y-axis
2. translate ABC two units down
Write the equation of the line that passes through the points (2,-6) and (6,-6).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answ
Step-by-step explanation:
Two point slope =-(-6+6)/(6-2) =0
Equation is y+6 = 0(x-2)
y+6=0
y=-6
The point is -6 at y axis which is a horizontal line.
Find the solution to the following system of equations:
[2x-y=3
[x-y= -2
A.(-1,-5)
B.(1,3)
C.(4,5)
D.(5,7)
Answer:
the answer is D.(5,7)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
hope this help. :)
Is this congruent by SSS, SAS, AAS, ASA? :)))))))
Answer:
i believe it is sss because the third s is the reflective property.
Step-by-step explanation
2. Which of the following states that if the product of two real numbers is zero, then either of the two is
equal to zero or both numbers are equal to zero?
A. Multiplication Property C. Identity Property
B. Zero Product Property
D. Transitive Property
Answer:
b
B zero product property
Answer:
The Zero property
Step-by-step explanation:
anything multiplied by zero will give you a product of zero
The gallons of way used to take a shower varies directly with the number of minutes in the shower .If a 6 minute shower uses 36 gallons of water, find the constant of variation
Answer:
constant of variation (k) = 6
Step-by-step explanation:
Let us first represent the sentence in direct variation expression:
"the gallons of water used to take a shower varies directly with the number of minutes in the shower"
Let the gallons of water used = g
Let the number of minutes spent in the shower = m
g ∝ m
where: ∝ = sign of proportionality
This means that as g increases, m increases also, and the same holds for decrease too.
g ∝ m
g = km
where k = constant of variation ( or proportionality constant)
Next, If a 6-minute shower uses 36 gallons of water, find the constant of variation
g = 36 gallons
m = 6 minutes
∴ g = km
= 36 = k × 6
k = 36 ÷ 6 = 6
k = 6
Chris labels every lattice point in the coordinate plane with the square of the distance from the point to the origin (a lattice point is a point such that both of its coordinates are integers). How many times does he label a point with the number $25$?
Answer:
4 times
Step-by-step explanation:
A lattice point may be defined as the point of intersection of two grid lines or more than two grid lines that is placed in a regularly spaced points arrays. This is called a lattice point.
In the context, Chris tries to label every lattice point in a coordinate plane with its square of distance from the point to its origin. The lattice points means that the numbers are both the integers. So for number 25, Chris has to label 4 times
i.e. (55),(-5,5),(5,-5),(-5,-5)
Find the value of x and y.
Answer:
x=13
y=132
Step-by-step explanation:
............
Which of these statements about savings is incorrect? *
1 point
People often believe they are saving when they buy products at a listed
discount, even if they didn't need the product in the first place
It is extremely difficult to open a savings account, as you typically need at
least $10,000 for your initial deposit
Without a vehicle to save (like a savings account), it's much easier to spend
and harder to keep track of finances
Billions of dollars is spent on marketing to persuade consumers to spend
money instead of saving it
dinion in high school and Hust started his
1
Answer:
The answer is "Option b"
Step-by-step explanation:
The numbering of the choices was defined in the attached file please find it.
In the question except for option b, all choices were correct, that can be defined as follows:
Citizens also believe because they save by buying products at a price, even if the product wasn't required first. It's cheaper to take and tough to maintain track of funds without a way to invest (like a bank account). Billions of lives were expended on ads and convince consumers to invest money in the junior high rather than saving their union so Hust started his career.Will mark brainliest to who shows how they now
Answer:
3
Step-by-step explanation:
8ab / 2bc
8(3)(1/2) / 2(1/2)(4)
24(1/2) / 1(4)
12 / 4
3
Answer:
3
Step-by-step explanation:
9. Find the volume of a sphere with a diameter of 4 m, both in terms of A and as a decimal. Use 3.14 for .
Round your answers to the nearest tenth.
Answer: V≈33.51m³
Step-by-step explanation:
please help god bless you
Answer:
one u selected i think
it maybe not correct
Step-by-step explanation:
i bless u too
Pls get it right this a test I need the best grade
Answer:
9.6
Step-by-step explanation:
Answer:
the answer is 9.6
Step-by-step explanation:
your welcome
As the x values increase, the y values decrease
Answer:
1. That means as the X value decreases the y value increase
2. That means it's a negative Line.
3. The slope is negative
Step-by-step explanation:
Select the function that defines the given sequence.
Answer:
D.
Step-by-step explanation:
a1 = -8
a2 = -8 * 2.5
a3 = -8 * 2.5 * 2.5
a4 = -8 * 2.5^3
an = -8 * 2.5^(n - 1)
The first term is -8. Each subsequent term is 5/2 times the previous term.
Answer: D.
answer the question below∵
Answer:
should be -8
Step-by-step explanation:
Answer: t = 7-15 = -8
Step-by-step explanation:
squares q,r,t form a right triangle with dimensions as shown in the diagram. what is the area of square Q
Answer:
The area of square Q is 441 m² ⇒ C
Step-by-step explanation:
Let us use the right triangle to find the side of square Q
∵ The length of the side of square T = 29 m
∴ The length of the hypotenuse of the right triangle = 29 m
∵ The length of the side of square R = 20 m
∴ The length of leg1 of the right triangle = 20 m
∵ (leg1)² + (leg2)² = (hypotenuse)² ⇒ Pyathagoras Theorm
∴ (20)² + (leg2)² = (29)²
∴ 400 + (leg2)² = 841
→ Subtract 400 from both sides
∴ (leg2)² = 441
→ Take √ for both sides
∴ leg2 = 21
∵ Leg2 is the side of the square Q
∴ The length of the side of square Q = 21 m
∵ Area of the square = side × side
∴ Area of square Q = 21 × 21
∴ Area of square Q = 441 m²
∴ The area of square Q is 441 m²
Find the
n
th
term of the sequence that starts with 31, 35, 39, 43
Answer:
Step-by-step explanation:
This is a sequence of adding 4
So the next number is 47 51
PLEASE HELP WITH ANY OF THE QUESTIONS IN THE PICTURE I WILL GIVE 50 POINTS AND BRAINLEIST
Answer:
RU=4.44500 cementers
Step-by-step explanation:
I learned from my bigger sister
e) x⁴ - 3x²y² + 9y²
Answer:
x
4
+9y
2
u
200
b−3x
2
y
2
Step-by-step explanation:
solve the question.
Answer: 1
[tex](\frac{x^{a+b} }{x^{c} }) ^{a-b}.(\frac{x^{b+c} }{x^{a} }) ^{b-c} .(\frac{x^{c+a} }{x^{b} })^{c-a}\\\\= \frac{x^{(a+b)(a-b)} }{x^{c(a-b)} }.\frac{x^{(b+c)(b-c)} }{x^{a(b-c)} }.\frac{x^{(c+a)(c-a)} }{x^{b(c-a)} }\\\\=\frac{x^{a^{2}-b^{2} } }{x^{ac-bc} }.\frac{x^{b^{2}-c^{2} } }{x^{ab-ac} }.\frac{x^{c^{2}-a^{2} } }{x^{bc-ab} } \\\\=\frac{x^{a^{2}-b^{2}+b^{2}-c^{2}+c^{2}-a^{2} } }{x^{ac-bc+ab-ac+bc-ab} }\\\\=\frac{x^{0} }{x^{0} }=1[/tex]
Step-by-step explanation:
Alessia uses her bank card to buy lunch 3 times. Each time she buys lunch, it costs $12.50. She then deposits $30 in her bank account. What is the change in her bank balance in dollars as a result of these transactions?
Answer: She has a $-7.50 balance
Step-by-step explanation: A = 3*12.5
A= 37.5
37.5-30= -7.5
Answer:
Her balance will be $7.50 in the red.
Step-by-step explanation:
expenses: (12.50)*3 = 37.50
funds added: 30
$30 - $37.50 = -$7.50
