Answer:
54 cm
Step-by-step explanation:
Using the formula for the area of a trapezoid (area is the sum of the two bases times the height and then halved):
A = 1/2 (h) (b1 + b2)
5350 = 1/2 (h) (135 + 65)
5350 = 1/2 (h) (200)
5350 = h (100)
5350/100 = h
h = 53.5
h ≈ 54 cm
A classmate buys and resells scooters. If they original buy a scooter for $45.85 and mark it up 90%. What is the new selling price?
Answer:
$87.12
Step-by-step explanation:
To mark up the price you are basically doing 45.85×190%.
If you take a percentage and make it a normal number you need to divide by 100.
190÷100= 1.9
So you multiply 45.85×1.9=87.115
Because this is money you cant have $87 and 11 and a half cents. So you need to round
You need to round up because it is 5, which means that you get $87.12
Hope this helped.
50 Benson purchased a $1,800 certificate of deposit that earns s
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:
The computation of the annual rate of interest is shown below:
As we know that
Simple interest = Principal × rate of interest × time period
($1,857.60 - $1,800) = $1,800 × rate of interest × 1
$57.60 = $1,800 × rate of interest × 1
So, the rate of interest is
= $57.60 ÷ $1,800 × 100
= 3.2%
Hence, the rate of interest on annual basis is 3.2%
Graph the following features:
Slope - 1/2
Y-intercept = -1
Step-by-step explanation:
start at -1 as your starting point then go down one over 2
Please Help. Question attached. (No Links Please!)
It's D, 15!/(15 - 5)! .
15! is the number of ways of permuting 15 objects. In other words, if you have 15 open positions,
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _
from the 15 total objects you can pick, there are 15 choices for the first position, 14 for the second, 13 for the third, and so on, so that there is a total of
15 * 14 * 13 * … * 2 * 1 = 15!
possible arrangements.
But you're taking 5 objects at a time, so we only have 5 positions to fill:
_ _ _ _ _
and there are 15 choices for the first position, 14 for the second, 13 for the third, 12 for the fourth, and 11 for the fifth, so the total number of arrangements is
15 * 14 * 13 * 12 * 11 = 15!/10! = 15!/(15 - 5)!
PLEASE HURRRRRRY! My life depends on it!!
Step-by-step explanation:
c²=a²+b²
b²=c²-a²
b²=10²-9²
b²=100-81
b²=19
b=✓19
b=4,35
——PLEASE HELP QUESTION IS IN THE PIC—
Answer:
d. 4/5
Step-by-step explanation:
Santiago is trying to earn experience points in his newest game. He knows that finding
gophers will get him the most points. His number of experience points after his first attempt
can be represented by the linear equation - 24x + 2y = 900, where y represents Santiago's
total number of experience points and x represents the number of gophers he finds.
What is the slope of the line? What does this represent?
F The slope is 12; he earns 1 point for every 12 gophers he finds.
G The slope is 450; he earns 1 point for every 450 gophers he finds..
# The slope is 12; he earns 12 points for each gopher he finds.
J The slope is 450; he earns 450 points for each Igopher he finds.
Correct Answer is on the attached image
Solve the inequality for x. –3x + 6 < 15 Question 1 options: x > –7 x < –7 x < –3 x > –3
Answer:
x < - 3
Step-by-step explanation:
Given the inequality :
-3x + 6 < 15
Collect like terms :
-3x < 15 - 6
-3x < 9
Divide both sides by - 3
-3x / 3 < 9/3
x < - 3 (sign changes as we have divides by a negative)
The population of Sanibel, Florida can be modeled by P= 6191 . 1.054, where t is the number of years since 2016.
A. What was the population in 2016?
B. What percent did the population increase by each year?
40 points if u answer
Answer:
A 5873.814042
B 90%
Step-by-step explanation:
What is the roots of x+2=0
Answer:
Subtract 22 from both sides of the equation.
x=-2
Answer:
x = -2
Just move the 2 to the other side. Remember to switch the sign.
The tree was 8.5 inches when it was planted. The tree grew 1.5 inches each year.
Can anyone do it pleaseeeee
Answer:
hi
Step-by-step explanation:
probably it must be like this,
8.5+1.5=10 in
hope it helps
have a nice day
In a game, players roll a 6-sided dice. Each side has dots ranging from 1 dot to 6 dots. For the player to win the prize, a dice must show a side containing multiples of 3 dots. What is the probability of winning the prize?
1/6
1/2
5/6
1/3
Answer:
1/6 cause there is a 1 in 6 chance each time you roll the die
Step-by-step explanation:
PLEASE HELP ASAP!!!!!!!
Britney's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 2 single-shot espressos and 18 double-shot espressos. What percentage of the espressos sold were single-shot?
Answer:
10% of espressos sold are single shot espressos.
Step-by-step explanation:
Single shot espressos, as percentage of total espressos sold =
[ Single espressos / Total ( ie Single + Double shot) ] x 100
[ 2 / (2 + 18) ] x 100
(2 / 20) x 100
= 10%
If you flip a coin 7 times what is the probability that you will get exactly 2 tails
Answer:
The answer is 2/7.
Step-by-step explanation:
If you flip a coin 7 times then 7 is the denominator, which stands for the total amount of times you flipped the coin. The numerator is 2, which is the amount of times you land on the same thing, in this case, landing on tails.
Hope this helps!
-Luna
Evaluate the expression 3x^2+4x^3 when x=4.
Step-by-step explanation:
304
plug 4 in for x
3(4)^2 + 4(4)^3 = 304
48 + 256 = 304
What is the coefficient of the second term in this expression?
4+5c
Answer:
The coefficient of the second tern in the expression , 4+ 5c, is 5
Step-by-step explanation:
Second term: 5c
C is a variable,therefore, making 5 the coeffiecient.
In the equation: (16)^3=2^3/2x how could you solve for x?
Answer:
x = 8
Step-by-step explanation:
16 is the same as 2^4
(2^4)³ = 2^3/2x
2^12 = 2^3/2x
as long as bases are both the same then set exponents equal
12 = [tex]\frac{3}{2}[/tex]x
3x = 24
x = 8
The initial balance in a savings account is $1,285. After which transactions will the final balance be the same as the initial balance?
pls help
Answer:
A deposit of 215$ and a withdraw of 215$
Step-by-step explanation:
The deposit amount is equalized and removed by the withdraw value.
Need help asap pleas and thank you .
Answer:
The answer that is not true when x = -4 is B.
Step-by-step explanation:
Since x = -4, that means all we have to do to eliminate answers is plug -4 in place of x.
A is incorrect because 2 × -4 = -8, which means that answer IS true and we're looking for the one that isn't true.
Same with C, -4 + -4 + -4 added together gives you -12 = -12, therefore isn't the right choice.
Finally D. -4/4 divided equals -1, so that would make it -1 = -1.
B is the only one that doesn't make sense, therefore you have your answer.
below are two parallel lines with a third line intersecting them.
x= ??°
Answer:
x = 53
Step-by-step explanation:
x = 53 because they are alternate exterior angles
Name one attribute that all squares and rhombus always share.
Answer:
equal sides!
Step-by-step explanation:
Answer:
Step-by-step explanation:
Both of them have sides that are equal. The second attribute is both of the shapes are parallel to each other
Question 1
2 pts
(09.05)
At an intersection, the red light times are normally distributed
with a mean time of 3 minutes and a standard deviation of 0.25
minutes. Approximately what percent of red lights last between
2.5 and 3.5 minutes? (2 points)
32%
68%
Answer: The percent of red lights last between 2.5 and 3.5 minutes = 95.44% approx.
Step-by-step explanation:
Given: Mean time = 3 minutes
standard deviation = 0.25 minutes
The probability of red lights last between 2.5 and 3.5 minutes :-
[tex]P(2.5<x<3.5)\\\\=P(\dfrac{2.5-3}{0.25}<\dfrac{x-\mu}{\sigma}<\dfrac{3.5-3}{0.25})\\\\=P(-2<z<2)\\\\=2P(Z<2)-1\\\\=2(0.9772)-1\\\\=0.9544[/tex]
The percent of red lights last between 2.5 and 3.5 minutes = 95.44% approx.
A car rental company charges a $50 flat fee and an additional $20 per day. A second company also
charges a flat fee plus an additional cost per day. This tables the cost to rent a car from the second
car company
What is the absolute value of the difference, in dollars, between the flat fees the two companies
charge?
Enter your response here:
Days
2
4
Cost
$130
$160
$175
Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . ,and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or a decimal.
5
The difference between the flat fees of the two companies is $20
HELP ME!!!!!!!!Write the sentence as an equation.
253 is equal to the total of 203 and b
Answer:
203 + b = 253
Hope this helps!
If the given ΔXYZ is rotated by 180 degrees around point X in a clockwise direction, what are the new coordinates of the Y and Z vertices? Select the two correct answers.
Answer:
Options C and D
Step-by-step explanation:
From the graph attached,
Coordinates of the vertices,
X → (0, 0)
Y → (-1, -2)
Z → (0, -2)
Rule for the rotation of a point (h, k) by 180° about the origin is given by,
(h, k) → (-h, -k)
By this rule,
Coordinates of the image points will be,
X(0, 0) → X'(0, 0)
Y(-1, -2) → Y'(1, 2)
Z(0, -2) → Z'(0, 2)
Therefore, Option (C) and Option (D) are the correct options.
Answer
C/D
Step-by-step explanation:
In the diagram below, AQRS is an equilateral triangle and RT I QS.
R
Q
S
7
Which statement must be true?
O A. QR = RT
B. RT = 2 · QT
O C. AQRT is a 45-45-90 triangle.
O D. AQRT is a 30-60-90 triangle.
What is the Volume of a hexagonal pyramid shown if the hexagon has a side length of 4 inches and the height of the pyramid is 12 inches?
Answer:
166.24 in³Step-by-step explanation:
Volume formula:
V = 1/3 Bh, B-base area, h- heightBase area:
B = 3√3a² / 2 = 3√3*4² / 2 = 41.57 in (rounded)Volume:
V = 1/3*41.56*12 = 166.24 in³Yes or no????????????
Answer:
Yes
Step-by-step explanation:
If a triangle follows the Pythagorean theorem, then it is right. The Pythagorean theorem states the following,
[tex]a^2 + b^2 = c^2[/tex]
Where (a) and (b) are the legs or sides adjacent to the right angle of the right triangle, and (c) is the hypotenuse, side opposite the right angle, the longest side.
Substitute in the given values and solve,
[tex](6)^2 + (8)^2 = (10)^2\\\\36 + 64 = 100\\\\100 = 100[/tex]
The given side lengths form a right triangle.
What are the solutions to this quadratic equation? 5x2-7x-18=0
Answer:
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
5
2
−
7
−
1
8
=
0
5x^{2}-7x-18=0
5x2−7x−18=0
=
5
a={\color{#c92786}{5}}
a=5
=
−
7
b={\color{#e8710a}{-7}}
b=−7
=
−
1
8
c={\color{#129eaf}{-18}}
c=−18
=
−
(
−
7
)
±
(
−
7
)
2
−
4
⋅
5
(
−
1
8
)
Step-by-step explanation:
The solutions to the quadratic equation 5x² - 7x - 18 = 0 are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].
What are the solutions to the quadratic equation?Given the quadratic equation in the question:
5x² - 7x - 18 = 0
Compared to the standard form ax² + bx + c = 0:
a = 5, b = -7 and c = -18
To find the solutions to the quadratic equation, we use the quadratic formula:
[tex]x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a}[/tex]
Plug in the values and simplify:
[tex]x = \frac{-(-7)\±\sqrt{(-7)^2 - 4(5*-18)} }{2*5} \\\\x = \frac{7\±\sqrt{( 49 +360)} }{10} \\\\x = \frac{7\±\sqrt{ 409} }{10} \\\\x = \frac{7-\sqrt{ 409} }{10}, \frac{7+\sqrt{ 409} }{10}[/tex]
Therefore, the values of x are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].
Learn more about quadratic equations here: brainly.com/question/1863222
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