Step-by-step explanation:
if you use the online graphing calculator it will help you
A sandwich shop offers 6 different types of bread, 4 different
types of meat, and 3 different types of toppings. A sandwich
is made with 1 type of bread, 1 type of meat, and 1 topping.
How many different kinds of sandwiches are there?
Answer:
36
Step-by-step explanation:
72 different kinds of sandwiches can be made using 6 different types of bread, 4 different types of meat, and 3 different types of toppings
Given :
A sandwich shop offers 6 different types of bread, 4 different types of meat, and 3 different types of toppings
bread = 6 , meat=4, toppings=3
Sandwich is made of 1 type of bread, 1 type of meat, and 1 topping.
To find the number of combinations we multiply all the possible types we have
Number of combinations of sandwiches = [tex]6 \cdot 4 \cdot 3=72[/tex]
There are 72 different kinds of sandwiches.
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Find c Round to the nearest tenth 27 201 28 c=?cm
Answer:
[tex]56.3[/tex]
Step-by-step explanation:
The Law of Sines works for any triangle and is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] (the ratio of any angle and its opposite side is equal to the ratio of all other angles and their respective opposite sides).
Thus, we have:
[tex]\frac{\sin 28^{\circ}}{27}=\frac{\sin 102^{\circ}}{c},\\c=\frac{27\sin 102^{\circ}}{\sin 28^{\circ}}=56.2547070223\approx \boxed{56.3}[/tex]
Figure ABCD is a kite. Find the
value of x.
B
A 2x + 10
С
2x
D
x = [?]
Enter
Answer:
x = 20
Step-by-step explanation:
The diagonals of a kite are perpendicular to each other, so the 4 angles at the intersection are right.
The sum of the 3 angles in a triangle sum to 180° , then
2x + 2x + 10 + 90 = 180
4x + 100 = 180 ( subtract 100 from both sides )
4x = 80 ( divide both sides by 4 )
x = 20
Answer:
20 is the answer
Step-by-step explanation:
Correct for Acellus!
Karl is purchasing a $205,000 home with a 30-year mortgage at 5.5%. Because he is not making a down payment, PMI in the amount of $97.50/month is required for the first 2 years of the loan. Based on this information, what is the total cost of this loan? A. $421,369.20 B. $444,923.03 C. $423,042.96 D.$452,092.10
The total loan payment is $1,024,050.
What is Mortgage Loan?Another name for mortgage loans is "loans against property." A mortgage loan can be used to refinance real estate or to buy, build, or remodel a home. Getting a new loan for a piece of property while the old one is still being paid off is referred to as refinancing. Typically, it is done to obtain a loan with better terms.
We have,
The 30-year mortgage loan of $205,000 at 5.5% interest rate
We know, the total cost of this loan can be calculated as
L=LM+PMI
So, LM=$205,000 x (1+0.055[tex])^{30[/tex]
LM=$205,000 x 4.984
LM = $1,021,710
Now, the PMI over 24 months
= $97.5 x 24
= $2,340
So, the total loan payment is:
= $1,021,710 + $2,340
= $1,024,050
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Give the inequality -8<2 explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by negative 2
Answer:
If we multiply both the sides by 2, the inequality signs remains the same.
If we divide both sides by -2, the sign changes.
Step-by-step explanation:
The given inequality is
-8<2
If we multiply both the sides by 2, we get
-8 * 2 < 2*2
-16 < 4
The inequality signs remains the same.
On the other hand if we divide both sides by -2, we get -
-8/-2 < 2/-2
4 > -1
Here the sign changes.
In 6 seconds, a total of 3 waves crash into a cliff. The distance between 2 adjacent wave crests on the water is 8 meters.
Answer:
Wavelength = 16 m
Step-by-step explanation:
Given that,
In 6 seconds, a total of 3 waves crash into a cliff.
The distance between 2 adjacent wave crests on the water is 8 meters.
We need to find the wavelength of the wave.
We know that, the distance between two consecutive wave is called wavelength of a wave.
We can understand that, total of 3 wave crests, the distance between first and second wave crest is 8 meters.
Hence, the wavelength is 8 m + 8 m = 16 m
Nancy is baking a cake. The recipe calls for seven cups of flour and three cups of sugar. She already put in 1/2 a cup of flour. How many more cups of flour does she need to add? Write your answer in decimal form.
If the 12th term of the arithmetic sequence is 15 and the 11th term is 10, find the common difference of the sequence.
Answer:
12? 10 + d = 15 so d = 5.
Step-by-step explanation:
Answer:
d = 5
Step-by-step explanation:
The common difference d is the difference between consecutive terms, then
d = a₁₂ - a₁₁ = 15 - 10 = 5
Use the completing the square method to transform the equation x2 + 2x = 13 into an equation of the form (x + a)2 = b, where ɑ and b are real numbers What are the values of ɑ and b?
Answer:
(x+1)² = 14
a = 1, b = 14
Step-by-step explanation:
Given the equation, x² + 2x = 13
We are to use the completing the square method to express in the form
(x + a)² = b
x² + 2x = 13
Add the square of half of the coefficient of x to both sides
Coefficient of x = 2
Half of the coefficient of x = 2/2
Square of the result = (2/2)²
Square of the result = 1²
Add (1/2)² to both sides
x² + 2x + (1)² = 13 + (1)²
(x+1)² = 13 + 1
(x+1)² = 14
Compare with (x+a)² = b
a = 1 and b = 14
A sum of money is deposited in a bank which offers a simple interest rate of 0.325% per annum. At
the end of the 4 years, the total amount receives is $50 650. Find the sum of money deposited.
Answer:
The sum of money deposited is approximately $22,021.74
Step-by-step explanation:
The given interest and amounts of the deposit are outlined as follows;
The simple interest per annum, R = 0.325%
The number of years the money is deposited, T = 4 years
The total amount received (Interest + Initial deposit), A = $50,650
We have;
I = P × R × T
Where;
P = The principal (initial amount deposited)
R = The (annual) interest rate = 0.325%
T = The time = 4 years
Therefore;
The total amount received, A = P + I
P + I = P + P × R × T = P × (1 + R × T)
∴ A = P + I = P × (1 + R × T)
P = A/(1 + R × T)
Plugging in the values, gives;
P = 50,650/(1 + 0.325 × 4) = 506,500/23 ≈ 22,021.74
The sum of money deposited, P = $22,021.74
find the value of x
16
14
10
9
Answer:
x = 9
Step-by-step explanation:
create a ratio between the triangles:
x/6 = 12/8; cross multiply
72 = 8x; divide 8 on both sides
x = 9
Solve for x and show your work
Answer:
x = -5
Step-by-step explanation:
50 = x+55
50 - 55 = x
-5 = x
Which of the following shows the correct order of the given numbers?
1, 1, 1.6
Someone help me with this please
Answer:
-1
Step-by-step explanation:
use a calculator and u will get this answer:)
Una alberca, tiene las siguientes dimensiones: 15 metros de largo, 4 metros de ancho y una profundidad de 1.8 metros. Si se desea que solo se llene a un 95% de su capacidad y para eso se abre una llave la cual deposita 90 litros de agua en tan solo 1 minuto. ¿En Cuánto tiempo estará lista la alberca? *
Answer:
please transalate
porfavor transalate
Step-by-step explanation:
I need help please!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Liz earnings per hour = $ 9.28
Liz earnings for 5.5 hours = 9.28 * 5.5
= $ 51.04
Help?,?,?,?.!.??.?.?.?.?.?.
Answer:
Step-by-step explanation:
b(a + 1) + a = b*a + b + a = ab + b + a
1) b(2a +1 ) = b*2a + b*1 = 2ab + b Not equivalent.
2)a + (a +1)*b = a + ab+ b Equivalent
3) (a +1)(b+ a) = a*(b +a) + 1*(b+a) = ab+ a² +b + a Not equivalent.
4) (a + 1)b + a = ab+ b + a Equivalent
5) a + b(a+1) = a +ab + b Equivalent
6) a + (a +1) + b = a + a + 1 + b = 2a + 1 +b Not equivalent.
7) a(b +1) + b = ab + a + b Equivalent
Find the missing side. Round to the nearest tenth. X=?
Answer:
x = 12.2
Step-by-step explanation:
to solve for 'x', we can use the sine ratio of opposite/hypotenuse
we need to find the angle opposite side 'x', which can be found by:
180-(44+90) = 46
sin46° = x/17
x = 17·sin46°
x = 12.2
Please help if you can!
Answer:
D: 78 ft2
Step-by-step explanation:
6x13=78
Answer:
Rectangle
Result
Area = l × w
= 13 × 6
= 78 feet2
Step-by-step explanation:
#Brainliestbunch
Y’all help meeee imma fail fr!!.!.
Answer:
Altitude of cylinder = 10 cm
Step-by-step explanation:
Given:
lateral surface area of cylinder = 90 cm²
Circumference of base = 9 cm
Find:
Altitude of cylinder
Computation:
Circumference of base = Circumference of cylinder
So,
2πr = 9
lateral surface area of cylinder = 2πrh
2πrh = 90
We know that; 2πr = 9
So,
9(h) = 90
h = 90 / 9
Altitude of cylinder = 10 cm
Pls I need help with thia
Answer:
6
Step-by-step explanation:
Use Pythagorean Theorem to solve for the missing side:
[tex]a^2+b^2=c^2\\a^2+(7)^2=(\sqrt{85})^2\\a^2+49=85\\a^2=36\\\sqrt{a^2} =\sqrt{36}\\a=6[/tex]
Zikri wins a cash prize of one million ringgit. She invests the money into an investment institution that offer
a return of 6% per year. The total amount of Zikris investment after n years is calculated by using the formula
J = P(1 + k)" with p is the initial investment and k is the rate of return per year. Find Zikris total investment
after 15 years.
Answer: 2,396,558 Ringgit
Step-by-step explanation:
J = P * ( 1 + k)^n
P = initial investment of 1,000,000 Ringgit
k = rate of return of 6% per annum
n = Number of years of investment
J = 1,000,000 * ( 1 + 6%)¹⁵
= 1,000,000 * 2.396558193
= 2,396,558 Ringgit
https://imgur.com/a/p0QjLGl
Answer: what’s the link about ?
From the figure, We can notice that Sum of the angles (∠AKC and ∠AKE) should be equal to 180°
Because ∠AKC and ∠AKE make a Linear Pair
⇒ ∠AKC + ∠AKE = 180°
⇒ 5x + 12x + 27 = 180
⇒ 17x = 180 - 27
⇒ 17x = 153
⇒ x = 9°
⇒ ∠AKE = 12(9) + 27 = (108 + 27) = 135°
Answer : ∠AKE = 135°
Help needed!!! Will give 20 points!!!
Answer:
1st answer
Step-by-step explanation:
[tex]f(g(x)) = f(4x)=(4x)^2-8(4x)+4\\=16x^2-32x+4[/tex]
At Shimla, the temperature was -14°C on Monday and then it dropped by 2°C on Tuesday. What was the temperature of Shimla on Tuesday?
Answer:
-14-2= -16
I hope it helps :)
x is a positive integer and 15x - 43 < 5x + 2. Work out the possible values of x.
Answer:
x = 1, 2, 3, 4
Step-by-step explanation:
15x - 43 < 5x + 2
15x - 5x - 43 < 2
15x - 5x < 2 + 43
10x < 45
x < 4.5
x = 1, 2, 3, 4
The required value of the x in the given inequality is x < 4.5.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
Given expression,
15x - 43 < 5x + 2
Adding 43 on both sides,
15x < 5x + 45
Subtract 5x from both sides,
10x < 45
Divide the inequality by 10
x < 4.5
Thus, the required value of the x in the given inequality is x < 4.5.
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X X 7
What is the solution to the equation 3+ 6 = ?
3
OX= 2
7
OX=3
O x= 3
O x=7
Answer:
x=7
Step-by-step explanation:
x/3 + x/6 = 7/2
Multiply each side by 6 to clear the fractions
6(x/3 + x/6) = 7/2 *6
Distribute
2x +x = 21
Combine like terms
3x = 21
Divide by 3
3x/3 = 21/3
x = 7
Answer:
x = 7
Step-by-step explanation:
Given
[tex]\frac{x}{3}[/tex] + [tex]\frac{x}{6}[/tex] = [tex]\frac{7}{2}[/tex] ( multiply through by 6, the LCM of 3,6, 2 to clear the fractions )
2x + x = 21
3x = 21 ( divide both sides by 3 )
x = 7
PLS HELP ILL MARK BRAINLIEST Complete each sentence with minimum or maximum and the corresponding numeric values. The _____________ value of f(x) = –|x – 4| – 5 is __________ when x = _________ . The _______ value of f(x) = x2 – 2x + 1 is ___________ when x = _________ .
Answer:
Step-by-step explanation:
1) the maximum value of f(x) = –|x – 4| – 5 is -5 when x = 4
2) the minimum value of f(x) = x2 – 2x + 1 is 0 when x = 1
Write an equation of the line that goes through the point (0,5) and has a slope of 4.
The Equation of the line can be represented as :
[tex] \longrightarrow \: y = mx + b[/tex]
where, m is slope of the line.
now, let's solve for b , by plugging the values of "x" , "y" and "m"
[tex] \longrightarrow \: 5 = (4 \times 0) + b[/tex]
[tex] \longrightarrow \: b = 5[/tex]
Therefore, the equation of above line is
[tex] \large \boxed{ \mathrm{y = 4x + 5}}[/tex]
[tex] { \orange{ \mathfrak{ \underline{hope \: \: it \: \: helps \: \: you.....}}}}[/tex]
A line that includes the point (4,4) has a slope of 3. What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = 3x - 8
Step-by-step explanation:
Finding the equation in point-slope form is easier. The result can then be put into slope-intercept form.
The point-slope formula is y - k = m(x - h). With the given point (h, k) being (4, 4), h = 4 and k = 4. The slope is 3. Therefore, we have:
y - 4 = 3(x - 4), or
y = 4 + 3x - 12
This simplifies to the slope-intercept form y = 3x - 8