1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
givi [52]
3 years ago
7

Jenny is eight years older then twice her cousin sues age. The sum of their ages is less then 32. What is the greatest age that

sue could be
Mathematics
1 answer:
maw [93]3 years ago
3 0

Answer:

The age of Sue could be 7 years

Step-by-step explanation:

Jenny is 8 years older than twice her cousin Sue's age.

The first equation will be :

J = 8 + 2S ---------(1)

The sum of their ages is less than 32.

The second equation will be :

J + S < 32  ----------------(2)

Now rearrange both equations :

8 + 2S + S < 32

3S < 32 - 8

3S < 24

S < 24/3

S < 8

S = 7

The age of Sue could be 7 years.

You might be interested in
Given the similar triangles below find the missing length
lilavasa [31]

Answer:

SB or ? = 9

Step-by-step explanation:

Since the two triangles are similar.

((18 + 6) / 6) = 24 / 6 = <u>4</u>

[Scale factor between ∆BCU and ∆SUT]

SB or ? = 12 – 12/<u>4</u> = 12 – 3 = 9

4 0
2 years ago
Read 2 more answers
Save me the headache
maxonik [38]

(9\sin2x+9\cos2x)^2=81

Taking the square root of both sides gives two possible cases,

9\sin2x+9\cos2x=9\implies\sin2x+\cos2x=1

or

9\sin2x+9\cos2x=-9\implies\sin2x+\cos2x=-1

Recall that

\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta

If \alpha=2x and \beta=\dfrac\pi4, we have

\sin\left(2x+\dfrac\pi4\right)=\dfrac{\sin2x+\cos2x}{\sqrt2}

so in the equations above, we can write

\sin2x+\cos2x=\sqrt2\sin\left(2x+\dfrac\pi4\right)=\pm1

Then in the first case,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=1\implies\sin\left(2x+\dfrac\pi4\right)=\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=\dfrac\pi4+2n\pi\text{ or }\dfrac{3\pi}4+2n\pi

(where n is any integer)

\implies2x=2n\pi\text{ or }\dfrac\pi2+2n\pi

\implies x=n\pi\text{ or }\dfrac\pi4+n\pi

and in the second,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=-1\implies\sin\left(2x+\dfrac\pi4\right)=-\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=-\dfrac\pi4+2n\pi\text{ or }-\dfrac{3\pi}4+2n\pi

\implies2x=-\dfrac\pi2+2n\pi\text{ or }-\pi+2n\pi

\implies x=-\dfrac\pi4+n\pi\text{ or }-\dfrac\pi2+n\pi

Then the solutions that fall in the interval [0,2\pi) are

x=0,\dfrac\pi4,\dfrac\pi2,\dfrac{3\pi}4,\pi,\dfrac{5\pi}4,\dfrac{3\pi}2,\dfrac{7\pi}4

5 0
3 years ago
Read 2 more answers
Kira owes Mark $5, and Mark owes Kira $7. Which of the following statements means the same thing?
S_A_V [24]

Answer:

They both owe each other

Step-by-step explanation:

7 0
3 years ago
Is 5p+5c equal to 5(p+c)
melisa1 [442]
When using distributive properties yes.
8 0
3 years ago
Read 2 more answers
In the figure below, what is the length of BC?<br> A) 12<br> B) 13<br> C) 17<br> D) 18<br> E) 22
garik1379 [7]

B is the answer

i simplified the theorem, but i hope this makes sense!

3 0
1 year ago
Read 2 more answers
Other questions:
  • Just a little help please
    13·2 answers
  • The height of a triangular flower garden is 6 feet more than the length of the base. If the area of the garden is 8 square feet,
    8·2 answers
  • What is the slope-intercept from of the equation y+18=2(x-1)
    5·1 answer
  • Write (8a^-3)^2/3 in a simplest form. <br> a. a^2/4 <br> b. 4a^2<br> c. 1/4a^2 <br> d. none of these
    7·1 answer
  • Solve Quadratic Equations (Factoring a=1)
    7·2 answers
  • The measure of each interior angle of reglar convex polygon is 150 How many sides it does have​
    13·1 answer
  • What is the slope of the line represented by the equation y = - 글 x + 끝?
    6·1 answer
  • What is this anyone ??
    6·2 answers
  • Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboar
    8·1 answer
  • WILL GIVE BRAINLIEST<br>I NEED TO FIND X AND Y
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!