Answer:a) $5.64 b) 21 ounces of tea leaves
Step-by-step explanation:
Step 1
5 ounces of tea leaves can be bought with $2.35
1 ounce of tea can be bought with =$2.35/5 =$0.47
12 ounces at the same rate can be bought with
=12 x $0.47 = $5.64
b) 5 ounces of tea leaves can be bought with $2.35
? Ounces of tea leaves can be bought with $10
$2.35 =5 ounces of tea
$10 = ? ounces of tea
= (10 x 5)/2.35
=50/2.35
=21.27 rrounded to 21 ounces of tea leaves
Ivy bought a new pair of basketball shoes that were on sale for 25% off. If
the regular price of the shoes was $75.95, what is the amount of discount?
The equations of four lines are given. Identify which lines are parallel.
Line 1: y=−6x+8
Line 2: x+1/2y=−1
Line 3: y=−2x+6
Line 4: y−5=−1/6(x−2)
Write a fraction for each percent.
75% of 96
Answer:
72/96
Step-by-step explanation:
Given f(x)=3(x-1)(x-7) what is the minimum output value of the function
Answer:
-27
Step-by-step explanation:
f(x) = 3(x-1)(x-7)
= (3x-3)(x-7)
= 3x^2 - 24x + 21
when f(x) = 0, x = 7 or 1
x-intercept of vertix of the graph = (7+1 )/ 2 = 4
f(x) attains it's minimum when x = 4
The minimum output value = 3(4-1)(4-7) = -27
I need help with all my 7 questions can someone help me with the first one ?
Answer:
x = 53
Step-by-step explanation:
x = 53 (Vertically Opposite Angles)
WILL MARK BRAINLIEST!!!
Answer:
The last one.
Step-by-step explanation:
If you can't see or there's something you don't understand you can ask:) Good luck and I hope it helps.
im confused on this one
Find the area of the shaded polygons
PLS HELP ASAP AGAIN!!!
9514 1404 393
Answer:
9 square units
Step-by-step explanation:
Pick's theorem is a useful relationship in circumstances like these. It tells you the area is ...
A = i + b/2 - 1
where i is the number of interior points (8), and b is the number of points on the border (4).
The area of this figure is ...
A = 8 + 4/2 -1 = 9
The area of the polygon is 9 square units.
_____
You can also get there by realizing the bounding rectangle is 4 units square. From that, corner triangles are cut. CW from upper left, those triangles have (base, height) dimensions of (3, 2), (1, 3), (3, 1), and (1, 2). So, the total of their areas is (1/2)(6 +3 + 3 +2) = 7 square units. The shaded area is then 16-7 = 9 square units, same as above.
A countrys population in 1990 was 145 million. In 1998 it was 151 million. Estimate the population in 2015 using the exponential growth formula. Round your answer to the nearest million
Answer:
The population in 2015 will be 165 million.
Step-by-step explanation:
The exponential growth formula is given by:
[tex] f(t) = a(1 + r)^{\Delta t} [/tex]
Where:
a: is the initial population
r: is the rate of increase
Δt: is the time
With the initial information we can find the rate:
[tex] 151 = 145(1 + r)^{1998-1990} [/tex]
Using logarithm:
[tex] ln(151) = ln(145) + 8[ln(1 + r)] [/tex]
[tex] ln(1 + r) = \frac{ln(151) - ln(145)}{8} [/tex]
[tex] ln(1 + r) = 5.0683 \cdot 10^{-3} [/tex]
Using exponential:
[tex] e^{ln(1 + r)} = e^{5.0683 \cdot 10^{-3}} [/tex]
[tex] r = 5.081 \cdot 10^{-3} [/tex]
Now, we can find the estimated population in 2015:
[tex] f(t) = 151(1 + 5.081 \cdot 10^{-3})^{2015-1998} [/tex]
[tex] f(t) = 165 [/tex]
Therefore, the population in 2015 will be 165 million.
I hope it helps you!
PLEASE - 10 points (5 thank you )
Answer:
hello, please listen to me. if u r giving 10 points then others are getting 5 points. so write accordingly
Determine the y intercept (8grade
Answer:
its 4
Step-by-step explanation:
If the graph of the function moves to the right two units what is the new vertex of the function
Answer:
Let's talk through this a one step at a time.
*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.
*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.
*At this point, f(x-5) has its vertex at (5,0).
*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]
*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence
What is the measure of b
Answer:
abcd
Step-by-step explanation:
efg
The rectangle below has an area of 70 square meters. Find the dimensions of the rectangle. (x - 11) (x - 8)
Answer:
the dimensions of the rectangle are 10 and 7.
Step-by-step explanation:
Given;
area of the rectangle, A = 70 m²
dimensions of the rectangle, = x - 11 and x - 8
The area of rectangle is calculated as;
A = L x B
70 = (x - 11)(x - 8)
70 = x² - 8x - 11x + 88
0 = x² - 8x - 11x + 88 - 70
0 = x² - 19x + 18
0 = x² - x - 18x + 18
0 = x(x - 1) -18(x - 1)
0 = (x - 18)(x - 1)
0 = x - 18 or
0 = x - 1
x = 18 or 1
The dimensions of the rectangle are calculated as;
L = 18 - 11 = 7
B = 18 - 8 = 10
Therefore, the dimensions of the rectangle are 10 and 7.
(-3x² + 9.2 - 9) + (-9x² + 9x + 3)
a + 7a+3ab-2ab-1+6 Simplify
Answer:
8a + ab + 5
Step-by-step explanation:
1. a + 7a+3ab-2ab-1+6
2. combine like terms
(a + 7a) + (3ab - 2ab) + (-1+6)
8a + ab + 5
Answer:
8a + ab + 5
Step-by-step explanation:
combine like terms. like term have same variables
a and 7a ; 3ab and (-2ab) ; (-1) and 6 are like terms
a + 7a + 3ab - 2ab - 1 + 6 = 8a + ab + 5
Help D: !
Evaluate the expression of the given value of x.
a. 2 + x^3, x is 3.
b. x^2, x is 1/2
c. 3x^2, x is 5
d. 100 - x^2, x is 6
Answer:
Step-by-step explanation:
Pets In a group of 150 people, each person has Complete the table.
a dog, a cat, or a bird. The frequency table
shows how many people have each kind of pet. Total Relative Frequency
Complete a relative frequency table to show the
Table
distribution of the data with respect to all
Pets Men Women Total
150 people.
% % %
Cat % % %
Frequency Table
Pets Men Women Total
Bird % % %
Dog 30 38 68
Total % % 100%
Cat 30 19 49
(Round to the nearest tenth as needed.)
Bird 17 16 33
Total 77 73 150
Explanation is in the file
tinyurl.com/wpazsebu
Maria averaged 212 miles on the first 3 days of her trip.She averaged only 104 miles on the other six days of her trip what was the overall average number of the miles travel
Answer:
1260
Step-by-step explanation:
212x3=636
104x6=624
636+624=1260
Solve this for points please..
Answer:
I think that Aliya is paid 3 dollars more than Eric per hour .
plzzz help me with this math im so confused!!
Answer:
I have made it in above picture
Answer:
2 A.)
1) 3-4x+8x^2-6+2x-5x^2
2) 8x^2-5x^2-4x+2x+3-6
3) 3x^2-2x-3
B.) 3x-5-7x^2+2+6x^2+5x
Step-by-step explanation:
please mark brainiest
please give 5 stars
thank you
Write the equation in standard form of a line that is parallel to the graph of 2x + y = 5 and whose y - intercept is (0,4).
The line that is parallel to this line will have the same slope of this line, as the two will never intersect. They will run side by side. The line y = 2x - 5 is written in slope-intercept form, which is y = mx + b. The value of m represents the slope, and in this equation m = 2. Therefore, the line we are looking for will have a slope of 2 also.
That line should also be in slope-intercept form. We now know the value of m, but we also know the value of x and y. The ordered pair (8, 10) is a point on the line, and every ordered pair is in the form (x, y). Therefore, x = 8 and y = 10. We can plug those values into y = mx + b, along with m = 2. That gives us:
10 = 2(8) + b We need to solve for b.
10 = 16 + b
b = -6
Will spent $40 at the fair. It cost $20 to get in the fair and $0.50 per ticket to ride the rides. How many tickets did Will buy? A. 40 B. 20 C. 120 D. 30
Answer:
B.20
Step-by-step explanation:
Please answer this quickly
Answer:
Polymomial with 4 terms i believe
Трикутна піраміда побудована з 10 однакових кульок так,
Як показано на малюнку 1. На кожній кульці написана
одна з букв A, B, C, D чи Е і кожна буква написана на двох
кульках. На малюнку 2 зображено вигляд цієї піраміди з
трьох різних боків. Яка буква на кульці зі знаком питання?
Answer:
Sorry I don't know this language
Which expression is equivalent to 2.8n – 8.4?
Answer:
4.1n
Step-by-step explanation:
Given the equation n – 4.6n – 3.3n + 2.8n , to get its equivalent expression, the following steps must be followed;
Step 1:
Factor out the common variable n
n(1 – 4.6 – 3.3 + 2.8)
Step 2:
Carry out the operation in parentheses;
= n(1+2.8-4.6-3.3)
= n(3.8-4.6-3.3)
= n(3.8-3.3-4.6)
= n(0.5-4.6)
= n(-4.1)
= -4.1n
The equivalent expression is -4.1n
Felipe calculated that he uses about 545 gallons of fuel each year. His car's owner's manual says that it is approved to use regular fuel. How much money can he save each year by switching from premium fuel, at $4.59 per gallon, to regular fuel at $4.18 per gallon?
$0.41
$2,501.55
$223.45
$2,278.10
$4,779.65
Answer:
$223.45
Step-by-step explanation:
premium fuel: 4.59 x 545
= 2501.55
regular fuel: 4.18 x 545
=2278.1
2501.55-2278.1 = 223.45
the slope of the line that passes through the points (-9,-4) and (3,-8)
Answer: -4/12 or -1/3
Step-by-step explanation:
Use the formula y1 - y2/x1 - x2
It doesn’t matter which point you use as your x1 or x2 as long as you as consistent and use the same equation for the x and y.
what is the coefficient of 7x+13
Answer:
7
Step-by-step explanation:
This is because any number combind with a variable will be considered a coefficient, for example in the equation 4x-13, 4 is the coefficient.
What are the zeros of the function
f(x)=x^2-7x−30
Answer:
x = 10 , -3Step-by-step explanation:
x² - 7x - 30 = 0
x² + 3x - 10x - 30 = 0
x ( x + 3 ) - 10 ( x + 3 ) = 0
( x - 10 ) ( x + 3 )
x = 10 , -3
Answer:
-3 and 10
Step-by-step explanation:
[tex]f(x)=x^2-7x-30[/tex]
1) Factor the equation
First, find two factors of -30 which has a sum of -7.
⇒ These two factors are 3 and -10.
Then, write the equation as a product of two binomials.
[tex]f(x)=(x+3)(x-10)[/tex]
2) Find the zeros
The zero product property states that any value, when multiplied by 0 will equal 0. Therefore, in this equation, either x+3 or x-10 must equal 0 for the function to equal 0:
x+3=0
x=-3
or
x-10=0
x=10
Therefore, the zeros of the function are -3 and 10.
I hope this helps!