Answer:
Cassandra 10, Borg 7
Step-by-step explanation:
Let c be Casandra's age and b be Borg's age. We can set the equation c-b=3. We can also set the equation 8c+2b=94. From the first equation we get c=b+3. Substitute this for c to get 8(b+3)+2b=94. Simplify to get 10b+24=94. Subtract then divide to get Borg's age is 7. Then since Cassandra is 3 yrs older than Borg, Cassandra's age is 10
Consider all numbers consisting of four different digits all between 1 and 9 . How many of these are odd
Answer:
1680
Step-by-step explanation:
Considering repeatition is not allowed.
We can use permutation to reach to the required answer.
Consider four digits to be placed in four boxes. Now for the number to be odd, unit digit must be odd. Therefore, unit digit can only be filled by 1, 3, 5,7, or 9. That is 5 ways. Now, other three boxes can be filled with 8, 7 and 6 ways respectively.
Therefore, Total numbers = 5×8×7×6 = 1680
Given: tangent A = negative StartRoot 15 EndRoot What is the value of Tangent (A minus StartFraction pi over 4 EndFraction)?
Answer:
( √15 + 8)/7
Step-by-step explanation:
TanA = -√15
.we are to find tan(A-π/4).
In trigonometry
Tan(A-B) = TanA - TanB/1+ tanAtanB
Hence:
tan(A-π/4) = TanA - Tanπ/4/1+ tanAtanπ/4
Substitute tan A value into the formula
tan(A-π/4) = -√15-tanπ/4 / 1+(-√15)(tanπ/4
tan(A-π/4) = -√15-1/1-√15
Rationalize
-√15-1/1-√15 × 1+√15/1+√15
= -√15-√225-1-√15/(1-√225)
= -2√15-15-1/1-15
= -2√15 -16/(-14)
= -2(√15+8)/-14
= √15 + 8/7
Hence the required value is ( √15 + 8)/7
Answer:
Probably D ( -√15-1/1-√15)
Step-by-step explanation:
it was in adidemiokin's answer before they rationalized it. Couldn't find the darn answer anywhere else. I'm on my 3rd attempt on the EDGE precalc Unit test hopefully D is right.
if 8kg sugar cost rs148. how much sugar can be bought for rs 832.50
Answer:
if 8kg- rs148
what about rs832.50
so you multiply rs832.50*8kg/rs148
answer=45 kg
solve for T: T/4+8>-10 A. T>72 B> T>-72 C. T T<-72
Answer:
[tex]\huge\boxed{B.\ T>-72}[/tex]
Step-by-step explanation:
[tex]\dfrac{T}{4}+8>-10\qquad|\text{subtract 8 from both sides}\\\\\dfrac{T}{4}+8-8>-10-8\\\\\dfrac{T}{4}>-18\qquad|\text{multiply both sides by 4}\\\\4\!\!\!\!\diagup\cdot\dfrac{T}{4\!\!\!\!\diagup}>(4)(-18)\\\\T>-72[/tex]
what's greater than -1
Answer:
hi its 1
Step-by-step explanation:
Answer:
0 and above
Step-by-step explanation:
Hope this helps.
Which of the following lines is perpendicular to the line y = 3x - 4?
O y = 3x + ]
O y= - 4x + 4
O y = *- 6
O y = - 3x + 9
Answer:
it should be this
Step-by-step explanation:
y= 1/3 and then -4
find tan a in a triangle
a 20/21
b 21/29
c 21/20
d 20/29
Answer:
Option C
Step-by-step explanation:
By applying tan rule in the given triangle ABC,
tan(a) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{BC}{AC}[/tex]
= [tex]\frac{21}{20}[/tex]
Therefore, Option C is the correct option.
The cost of cloth is directly proportional to the length. A 3.2-metre length of cloth costs $38
Work out the cost of a 2.4-metre length of cloth.
Answer:
[tex]x = \$28.5[/tex]
Step-by-step explanation:
Given
Variation: Direct Proportion
[tex]3.2m = \$38[/tex]
Required
Determine the cost of 2.4m length
Represent the cost of 2.4m length with x
So, we have:
[tex]3.2m = \$38[/tex]
and
[tex]2.4m = x[/tex]
Cross Multiply:
[tex]3.2m * x = \$38 * 2.4m[/tex]
[tex]3.2 * x = \$38 * 2.4[/tex]
Solve for x
[tex]x = \frac{\$38 * 2.4}{3.2}[/tex]
[tex]x = \frac{\$91.2}{3.2}[/tex]
[tex]x = \$28.5[/tex]
Hence, the cost of 2.4m length is $28.5
Which expression is equivalent to
Answer:
B
Step-by-step explanation:
The absolute value function, f(x) = |x + 2| , is shown.
If the graph is reflected over the x-axis, what is the
domain of the function?
All real numbers
All real numbers greater than or equal to 0
All real numbers greater than or equal to -2
all real number is less than or equal to -2
Answer:
All real numbers
Step-by-step explanation:
Domain corresponds to values of x on the x-axis here in the graph we see that the graph of f(x) = |x + 2| exists on every value of x either positive or negative like a point as (1 , 3) , (-3 , 1) , (-2 , 0) so its domain is actually
-∞ < x < ∞
meaning that the graph exists from negative infinity to positive infinity on the x-axis which means All real numbers.
Answer:
A
Step-by-step explanation:
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C. 94.2 cm
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Circumference: C = 2πrStep-by-step explanation:
Step 1: Define
r = 15 cm
Step 2: Find C
Substitute [C]: C = 2π(15 cm)Multiply: C = 30π cmMultiply: C = 94.2 cmPlease I really need help
Answer:
it would be 1/3
Step-by-step explanation:
Answer: 1/3 chance
Step-by-step explanation:
In total there are 21 animals, 7 of which are a goat or a cow, 7/21 simplified is 1/3
HELP ME PLEASE ASAP,,,,,,,
Answer:
a) i) The drawing of Zeno's route is attached
ii) The bearing of Zeno's return journey is 241° from point C to point A
b) Yes, Zeno returns to Port A before 5.15pm
Step-by-step explanation:
a) i) Please find attached the drawing of Zeno's route
ii) From the attached diagram of Zeno's route created with Microsoft Whiteboard, we find the bearing of his return journey as 241° from point C to point A
b) The distance from point C to point A = 10·√5 km
The speed with which Zeno sails as he returns = 10 km/h
The time it takes Zeno to return t = Distance/Speed
∴ The time it takes Zeno to return t = 10·√5 km/(10 km/h) = √5 h ≈ 2.2361 hours ≈ 2 hours 14 minutes and 9.845 seconds
The time Zeno arrives at point A from point A ≈ 3.00 pm + 2 hours 14 minutes and 9.845 seconds = 5:14.1641 p.m. ≈ 5:14 pm.
Therefore, Zeno returns to Port A before 5.15pm.
Edge unit test nonlinear functions
Answer:
A) 0
Step-by-step explanation:
hope this helps, pls mark brainliest :D
Option on 1 blank
(2x-1)(x+9)
3x(x-9)
X+7
(2x+1)(x-9)
2 blank
3x(2x+1)
X-7
3x(x+7)
X+7
3 blank
-7
9
0
-0.5
0.5
Answer:
0.5
Step-by-step explanation:
If you borrow 700$ for five years at a annual interest rate of 7%, how much will you pay all together
Answer:
$2,245.
Step-by-step explanation:
Your interest will have grown to $2,245 dollars and you will have earned $1,545.
Hope this helped
N EED ANSWER NOW ON TIMER PLASERA
Answer:
17/190
Step-by-step explanation:
Its correct
Answer:
D
Step-by-step explanation:
1 x 17 = 17
10 x 18=180
so it's 17/180
Hi, I am doing math at home, and I was confused on this problem. Thank you for helping.
Answer:
simplified the answer ( i think) is [tex]-\frac{3}{56}[/tex]
Step-by-step explanation:
Thank you for being so polite you were when u asked ur question, really hope this helps
i need help asap ill give brainlest
Denominators= 4 and 6.
LCM of 4 and 6= 12
So, The answer is 12
Hope it helps!
Answer:
The least common denominator of 1/4 and 5/6 is 12
Step-by-step explanation:
Multiples of 4: 4, 8, 12, 16, 20, 24...
Multiples of 6: 6, 12, 18, 24, 30, 36...
Brianna buys 10 balloons for her sisters. She gives 5 balloons to each sister and has none left. How many sisters doe Brianna have?
Answer:
2
Step-by-step explanation:
10-5=5
5-5=0
51. (08.02 MC) Box A has a volume of 48 cubic meters. Box B is similar to box A. To create Box B, Box A's dimensions were doubled. What is the volume of Box B? (1 point)
Answer:
384 m³
Step-by-step explanation:
Let the dimension of box a be l,b, and h.
ATQ,
lbh = 48 .....(1)
If we double the dimension of box A, we get box B whose new dimensions will be 2l,2b and 2h.
Let V be the volume of box B.
V = (2l)(2b)(2h)
V = 8(lbh)
= 8(48) [from equation (1)]
= 384 m³
Hence, the volume of the box B is 384 m³.
Help please it’s urgent!
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Help with all questions in this pic
Help I will mark brainly
Answer:
Use M A T H W A Y. It helps.
Answer:
A) -9.8 × (-23.5)
Step-by-step explanation:
negative × negative = positive
negative × positive = negative
positive × positive = positive
19 dozen cookies to individual cookies
Answer:
228 individual cookies.
Step-by-step explanation:
To convert 19 dozen cookies to individual cookies, we first have to identify that:
[tex]dozen=12[/tex]
If a dozen is equal to 12, to solve, we simply must multiply the amount of dozens, which is 19, by a dozen, which is 12:
[tex]19*12=[/tex]
[tex]228[/tex]
Therefore, there are 228 individual cookies.
-
We can check our work by dividing the individual number of cookies, 228, by dividing buy the amount of dozens, 19, and a dozen, 12:
[tex]228[/tex] ÷ [tex]19=12[/tex]
[tex]228[/tex] ÷ [tex]12=19[/tex]
As you can see, our quotients are the two figures we started with, and when multiplied together, give us 228 individual cookies; therefore, our solution is correct!
The area of a rectangle is 8x4. If the length is
2x3, find the width.
A = L x W
W = A/L
W = 32/6
W = 5.333
50 POINTS Ayliah is 7 years more than 1/2 of Deb's age
use x for the variable
Answer:
1443
Step-by-step explanation:
PLEASE HELP ME OUT I NEED THIS BY TONIGHT!!!!
A tree is 6 feet high. Each year, x, it grows 2 feet. Write an equation to model the height, y, of the tree after x years. What is the height of the tree after 7 years?
Answer:
1) y=2x+6
Step-by-step explanation:
2) y=2×7+6=20ft
Answer:
y = 2x + 6 and the height is 20 feet after seven years.
Step-by-step explanation:
Hello we meet again.
You substitute the x with 7 and then it will be 2(7)+6. 2 times 7 is 14 plus 6 equals 20 so good luck.
i’m being timed !!!
Given the function f(x) = -x^2 + 4x + 6, determine the average rate of change of
the function over the interval -4 < x < 7.
Step-by-step explanation:
I dont know the answer but I know you should make a graph for it and it will tell u the answer I will try and take a photo