The difference between Cassandra's age and Borg's age is 3 years. The sum of 8 times Cassandra's age and twice Borg's age is 94 years. How old is each

Answers

Answer 1

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


Related Questions

Consider all numbers consisting of four different digits all between 1 and 9 . How many of these are odd

Answers

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)?

Answers

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​

Answers

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

Answers

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

Answers

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

Answers

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

Answers

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.

Answers

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

Answers

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

Answers

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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

C. 94.2 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Circumference: C = 2πr

Step-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 cm

Please I really need help

Answers

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,,,,,,,

Answers

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​

Answers

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


Answers

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

Answers

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

Answers

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.

Answers

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

Answers

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?​

Answers

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)

Answers

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!

Answers

the correct answer is a, hope this helps

( • )( • )ԅ(‾⌣‾ԅ)( • )( • )ԅ(‾⌣‾ԅ)( • )( • )ԅ(‾⌣‾ԅ)

Answers

BEHJEJEBEHRUUE what is this eheujrf

Help with all questions in this pic

Answers

Answer: 2.)  3 and 6 = 33.)  24 and 30 = 64.)  9 and 27 = 9

Help I will mark brainly

Answers

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

Answers

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.

Answers

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

Answers

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?

Answers

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.

Answers

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

Other Questions
Which of the following best explains why the US government placed restrictions on Asian immigration through Angel Island? Many Americans did not believe in assimilation. Many Americans did not approve of the Gentlemens Agreement. Many Americans held nativist or racist views. Many Americans feared a loss of educational opportunities. Fon of the assignment will be graded by your teacher Question: In a lab experiment, A square of black paper and a square of white paper are place directly under 100-watt lamps for 30 minutes. Predict what happens to the temperature of each paper during the experiment. PLEASE HELP Michaels home is 12 feet below sea level in his mothers home is 12 feet above sea level Michael says their homes are at opposite elevation is because they are in opposite directions is he correct? Explain. I only have 2 more days to finish my work! what is the value of 2/5 + 5/7 Which table represents a linear function? The realists and reformers Which of these best describes the central idea of Thoreau's Civil Disobedience? Select all that apply.The fact that an opinion is held by a majority does not necessarily make it right.Individuals should refuse to cooperate with institutions they believe unjust.An individual is only obligated to act in ways he or she feels are right.Only the threat of mass rebellion can keep government from abusing its powers. 10 points and brainliest if u answer right PLEASE HELP! I know the answer to this, but I need an explanation. How can a jury both help and hurt an accused person's right to a fair trial? I need help finding the value the length of a rectangular feild exceeds its breadth by 15m and perimeter is 90m. Find its area what is radiation of heat What type of radioactive decay will the isotopes 13B and 188Au most likely undergo?a. Beta emission, positron emission b. Beta emission, beta emission c. Positron emission, beta emission d. Positron emission, positron emission women in the British colonies were not allowed toA. vote or anticipate in governmentB. attend church with other women C. get a formal education D. raise children and run households ANIMEI need to write a short paragraph about three characteristics of anime and im having trouble with it lol this is what i have so far Some big characteristics of anime are exaggerated physical features, such as having characters that have big "puppydog" eyes, small noses, and large angular hair. Another big characteristic of anime is characters expressing emotionsthough exaggerated yet simple symbolism such as pink cheeks for embarrassment and glowing eyes for anger. Athird characteristic of anime is... could somebody please help me with a third one and also give me an tips on how to make this better Can someone please briefly summarize how Anne matures over the course of her diary in Anne Frank? All help greatly appreciated. You should FOLLOW UP on items that: ______________, _________________, ________________. 11. Yo *__ (entender [e ie]) todas las reglas de mi escuela.12. Ramn *__ (pedir [e i]) ms tiempo en el examen.13. Elena y Javier siempre *__ (almorzar [o ue]) juntos.14. El Sr. Rivas *__ (repetir [e i]) cada frase tres veces y no ms.15. -*__ (pedir [e i]) vosotros ayuda a menudo? -No, no lo *__ (pedir [e i]) nunca. Which elements atoms have the greatest average number of neutrons?