Answer:
the answer is twenty one
Write an explicit rule and recursive rule for a geometric sequence with a 2nd term of 6 and a 3rd term of 12.
Answer:
57777788999999888889999
Gaya spends $48 to buy books that cost Sx each.
(a) Write down an expression, in terms of x, for the number of books Gaya buys.
(b) Myra spends S60 to buy books that cost S(x+2) each.
Gaya buys 4 more books than Myra.
Show that x^2+5x-24 = 0.
The relationships between the amount spent on books and the cost of
each book is a proportional relationship.
The correct responses are;
[tex](a) \ \displaystyle \mathrm{The \ number \ of \ books \ Gaya \ buys \ is } \ \underline{\frac{48}{x} \ books}[/tex][tex]\mathrm{(b) \displaystyle \underline{ \left(\frac{48}{x} -4 \right) \cdot \left(x + 2 \right) - 60 = x^2 - 5 \cdot x - 24 = 0}}[/tex]Reasons:
The amount Gaya spends on books = $48
The cost of each book = $ x
(a) The expression in terms of x for the number of books Gaya buys is therefore;
Number of books Gaya buys × $ x = $48
Therefore;
[tex]\displaystyle Number \ of \ books \ Gaya \ buys = \frac{\$48}{\$ x}[/tex](b) The amount Myra spends to buy books = $60
The cost of each book = $·(x + 2)
The number of books Myra buys = The number of books Gaya buys - 4
We have;
[tex]\displaystyle Number \ of \ books \ Myra \ buys = \frac{48}{x} - 4[/tex]
Which gives;
[tex]\displaystyle \mathbf{\left(\frac{48}{x} - 4 \right) \cdot \left(x + 2 \right)} = 60[/tex]
Using a graphing calculator, we get;
[tex]\displaystyle \frac{4 \cdot x^2 - 20 \cdot x - 96}{x} = 60[/tex]
4·x² - 20·x - 96 = 60·x
Which gives;
4·x² + 40·x - 60·x - 96 = 0
4·x² - 20·x - 96 = 0
x² - 5·x - 24 = 0
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The kitchen of a house is of size 15ft x 12ft. Find the cost of tiling the wall at all sides 5 ft from the base at the rate of Rs. 120/sq ft.
Answer:
20400RS
Step-by-step explanation:
Given, Kitchen Size = 15ft * 12ft wall height to be tiled = 5 ft so area of focer walls
= 2* 15+2*5*12
= 150+120=170ft.
Rate is 120/ sq*ft here rate
= 120*170
= 20400RS
Angel sum theorem ……….
Answer:
y = 42º
Step-by-step explanation:
The unmaked angle of the bottom triangle is 90º
The sum of the angles is 180
y + 90 + 48 = 180
combine like terms
y + 138 = 180
subtract 138 from both sides
y = 42º
An investment of $5,690 earns interest at a rate of 4% and is compounded quarterly. What is the
accumulated value of the investment at the end of 7 years?
The students in Tisha's grade voted to select a guest speaker. 75% of the students voted for a famous athlete. If there are 52 students in Tisha's grade, how many students voted for the athlete?
Answer:
39
Step-by-step explanation:
75% of 52 is 39
Hope this helps!
Help plz! i am in 7th grade, but I am doing 9th grade math and i need help. I missed one day of school and i am behind. what is a residual?!?
Answer:
residual is a quantity remaining after other things have been subtracted.
Answer: A residual is a measure of how well a line fits an individual data point. This vertical distance is known as a residual. For data points above the line, the residual is positive, and for data points below the line, the residual is negative.
Step-by-step explanation:
A population of values has a normal distribution with μ=5.5 and σ=94.4. You intend to draw a random sample of size n=101.
Find P10, which is the score separating the bottom 10% scores from the top 90% scores. P10 (for single values)
Find P10, which is the mean separating the bottom 10% means from the top 90% means.
P10 (for sample means)
Answer:
P10 = P₁₀ = -115.5
Step-by-step explanation:
Shown in the picture
a
Blue and green dye are mixed in a 7:4 ratio to make 44 litres
of a teal-coloured dye. A further 8 litres of green dye are added
to the mixture. What is the new ratio of blue to green dye in its
simplest form?
Answer:
7:4 is the new ratio.
Step-by-step explanation:
set a proportion; (8+4 = 12)
7 x
-- = --
4 12
12/4 = 3
3 x 7 = 21
x = 21
new ratio: 21:12
simplifies: 7:4 (division of 3)
The new ratio of blue to green dye in its simplest form is 7/6.
Blue and green dye are mixed in a 7:4 ratio to make 44 litres of a teal-coloured dye. A further 8 litres of green dye are added to the mixture. What is the new ratio of blue to green dye in its simplest form to be determined.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Calculating the fraction of blue and green in the teal dye,
Blue dye = 7/(4+7) * 44
Blue dye = 7/11 * 44
Blue dye = 28 liters
Similarly,
Green dye = 7/12*44
Green dye = 16
Now
Blue dye = green dye = 28+16 = 44
Now gree dye is increase by 8 liters
new volume fraction of green dye = 16+8
= 24
a fraction of blue dye remains the same,
the ratio of blue dye to new green dye in teal colored.
= 28/24
=7/6
Thus, the new ratio of blue to green dye in its simplest form is 7/6.
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Given that the zeros of a quadratic function are −2 and −5, what is the standard form of the quadratic function? A) f(x) = x2 + 5x + 10 B) f(x) = x2 + 7x + 10 C) f(x) = x2 − 5x + 10 D) f(x) = x2 − 7x + 10
Step-by-step explanation:
x = -2 and x = -5
x + 2 = 0 and x + 5 = 0
(x + 2)(x + 5) = 0
x² + 5x + 2x + 10 = 0
x² + 7x + 10 = 0
f(x) = x² + 7x + 10
The quadratic equation is x² + 7x + 10.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the zeroes of Quadratic Equation as -2 and -5.
So, the factors of the equation is (x +2 ) and (x + 5).
Then, the Quadratic equation is
= (x+5)(x+2)
= x² + 5x +2x + 10
= x² + 7x + 10
Thus, the quadratic equation is x² + 7x + 10.
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Un camión traslada 12 vehículos. Algunos son autos y otros son camionetas. Cada auto tiene una masa de 2 toneladas y cada camioneta de 3 toneladas. En total, el camión lleva una carga de 33 toneladas.
Escribe un sistema de ecuaciones que permita calcular cuántos vehículos de cada tipo traslada el camión. Usa a para representar la cantidad de autos y c para representar la cantidad de camionetas que traslada el camión.
El sistema de ecuaciones queda descrita por las siguientes expresiones:
[tex]a+c = 12[/tex]
[tex]2\cdot a + 3\cdot c = 33[/tex]
Donde [tex]a[/tex] y [tex]c[/tex] son las cantidades de autos y camionetas.
El enunciado es equivalente a un sistema de dos ecuaciones lineales con dos incógnitas. Una ecuación para la cantidad de vehículos trasladados por el camión y otra ecuación para la masa total trasladada:
[tex]a+c = 12[/tex] (1)
[tex]2\cdot a + 3\cdot c = 33[/tex] (2)
Donde:
[tex]a[/tex] - Cantidad de autos.[tex]c[/tex] - Cantidad de camionetas.El sistema de ecuaciones queda descrita por las siguientes expresiones:
[tex]a+c = 12[/tex]
[tex]2\cdot a + 3\cdot c = 33[/tex]
Donde [tex]a[/tex] y [tex]c[/tex] son las cantidades de autos y camionetas.
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I paid $15.48 for 12 songs on iTunes. How much did 1 song cost?
Answer:
$1.29
u divide 15.48 by 12. trust
Make x the subject of the formula x + t = q
Answer:
x = t - q
Step-by-step explanation:
because to make q, you need to add x and t
so to make x the subject, you should subtract q
Example
x + t = q
t = 7
q = 36
x = t - q
36 -7 = 29
x = 29
Solve the inequality and enter your solution as an inequality.
X-4<6
Answer:
x < 10
Step-by-step explanation:
Given: x -4 < 6
Add four to both sides: x < 10
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
what is the value of 8^-1/3
Answer:
2
Step-by-step explanation:
cube root of 8
Which of the following numbers is closest to 9? O A. v79 O B. 778 O c. 783 O D. 782
Answer:
v79
Step-by-step explanation:
v79-9that is 10 the closest
Edward deposited $6,000 into a savings account 5 years ago. The simple interest rate is 3%. How much money did Edward earn in interest?
Answer:
$900
Step-by-step explanation:
3% of 6,000 is 180
so, he earns $180 per annum
5 YEARS LATER
he has been earning $180 every year, so,
180+ 180+ 180+ 180+ 180, or 180*5
$900
Hope this helps!
At the craft store, Patty bought a bag of yellow and brown marbles. The bag contained 85
marbles, and 60% of them were yellow. How many yellow marbles did Patty receive?
Answer:
51 yellow marbles
Step-by-step explanation:
60% of 85 can be found by multiplying 85 and 0.6 to get 51
Answer:
i got 51 marbles! simple.
a%b when a=2 and b=1/2
Answer:
0.01
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9
Answer:
D) -[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
if 2 lines are perpendicular, one line has the opposite reciprocal of the other line.
Answer:
D,_3/2
Step-by-step explanation:
when two lines are perpendicular, m¹=_1/m²
A line passes through the points (-4,5) and (1,-5). Write the equation of the line in slope-
intercept form.
A. y = - 2x - 3
B.y = - 2x +3
C. y=2x-3
D. y = 2x + 3
Answer:
y = -2x - 3
Step-by-step explanation:
Slope: (5 - - 5)/(-4 -1) = 10/-5 = -2
y-intercept: 5 - (-2)(-4) = -3
Find the measure of angle y.
A) 19
B) 22
C) 41
D) 120
Answer:
19
Step-by-step explanation:
because it alternate with A
Please help...........
Answer:
4
Step-by-step explanation:
your answer is 4 because
2*4 = 8
5*4 = 20
7*4 = 28
8*4 = 33
Mrs. Patel needs
7/8
yards of fabric to make one shirt. Mrs. Patel bought 10 1/2 image yards of fabric. How many shirts can she make?
Answer:
12 shirts
Step-by-step explanation:
I used the method keep, change, flip (KCF) to divide fractions and solve this problem.
This means Keep the first fraction, Change the division sign to a multiplication sign, and Flip the second fraction.
so keep 10 1/2, or 21/2, change sign, and flip the second fraction to 8/7.
that gives us the equation 21/2x8/7, and solving that gives us 168/14, or 168 divided by 14, so 12 shirts
Happy late Thanksgiving!!!
Answer:
You too!!
Step-by-step explanation:
can somebody please help me
Answer:
The probability of drawing the first pink ball is [tex]\frac{3}{10}[/tex].
Because you drew that first pink ball, there are two pink balls left and the total number of balls left is nine.
Hence, the probability of drawing another pink ball after drawing the first pink ball would be:
[tex]\frac{3}{10} *\frac{2}{9} =\frac{1}{15}[/tex]
A line contains the points (-3,-9) and (4,5). What is the point-slope form of the line? A. y + 9 = -2 (x + 3)
B. y - 5 = 3 (x - 2)
C. y - 9 = 2 (x + 3)
D. y + 9 = 2 (x + 3)
Answer:
D
Step-by-step explanation:
First find the slope.
[tex]Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{5-[-9]}{4-[-3]}=\dfrac{5+9}{4+3}\\\\\\=\dfrac{14}{7}=2[/tex]
Point slope form:
y - y1 = m(x -x1)
y -[-9] = 2 (x - [-3])
y +9 = 2 (x + 3)
if you and your friends want food and if you have 2 friends and you buy one pizza and the pizza has 9 pieces how many pieces of pizza does each person get?
Answer: 4 1/2 slices/friend
Step-by-step explanation:
One pizza = 9 slices
9 slices/2 friends = 4 1/2 slices/friend
Answer:
3
Step-by-step explanation:
because 9×3=3
2 friends and me
Jordan saved $15.00 because he bought a pair of jeans on sale of 40% OFF. What was theoriginal cost of the jeans?
Answer:
$21.00
Step 1- Solve 40% of $15.00
=$6.00
Step 2- Add the 40% to the discount amount
=$6.00+$15.00=$21.00
The sum of the base and the height of a triangle is 20 cm. Find the dimensions for which the area is a maximum.
Answer:
base = 10cm and height = 10cm
Step-by-step explanation:
base + height = 20
base = height = 20/2= 10cm