Gary had 30 dollars to spend on 3 gifts. He spent 9 1 4 dollars on gift A and 6 4 5 dollars on gift B. How much money did he have left for gift C?

Answer:

The two expressions A and B are equivalent because the value of both expressions is same.

Step-by-step explanation:

Given: Expression A is 5(4+9) and expression B is 29+36.

To find: The reason why expressions A and B are equivalent.

First we solve expression A.

[tex]5(4+9)=5*4+5*9[/tex]          (using [tex]a(b+c)=a*b+a*c[/tex])

⇒[tex]5(4+9)=20+45[/tex]

⇒[tex]5(4+9)=65[/tex]

Now we solve expression B.

[tex]29+36=45[/tex]

Clearly, the value of both the expressions is same.

Hence, the expression A is equivalent to expression B.

Answer:

[tex]\mathrm{A.\: 39.3}[/tex]

Step-by-step explanation:

Let [tex]h[/tex] represent the height of the two smaller triangles in this figure. Because all three triangles are similar, we can set up the following proportion:

[tex]\frac{33}{h}=\frac{h}{y}[/tex], for [tex]y=x-33[/tex].

We can solve for [tex]h[/tex] using the Pythagorean theorem on the second largest triangle:

[tex]33^2+h^2=36^2,\\h=\sqrt{36^2-33^2},\\h=\sqrt{207}[/tex].

Now plugging in [tex]h=\sqrt{207}[/tex] into our proportion [tex]\frac{33}{h}=\frac{h}{y}[/tex], we can solve for y:[tex]\frac{33}{\sqrt{207}}=\frac{\sqrt{207}}{y}[/tex].

Cross-multiply to get:

[tex]33y=207,\\y=\frac{207}{33},\\y\approx 6.3[/tex].

Since we [tex]y=x-33, y+33=x[/tex].

Therefore, our answer is:

[tex]x=33+y=33+6.3=\fbox{$\mathrm{A.\: 39.3}$}[/tex].

Answer:

66.67% is the answer I am bored

Step/Answer:

The mistake begins at the line 3 where distrubting 2 in the expression. line 1 and line 2 both are correct. But line 3 is wrong.

[tex]2 {x}^{2} + 2x - 2 = 2 {x}^{2} - 18 \\ 2 {x}^{2} + 2x - 2 - 2 {x}^{2} + 18 = 0 \\ 2x - 2 + 18 = 0 \\ 2x + 16 = 0 \\ 2x = - 16 \\ x = - 8[/tex]

[tex]2( {x}^{2} - 9) = (2 \times {x}^{2} ) + (2 \times ( - 9)[/tex]

From line 3, you forgot to distribute 2 in -9.

Answer:   A 1 to 4

Step-by-step explanation:

340=10f.

frequency=34hertz.

Step-by-step explanation:

We have the wavelength which is 10,speed/velocity=340 and frequency=?.

The formula is velocity=frequency × wavelength.

340=f × 10.

340=10f.

frequency=34hertz.

Answer: option 2 lol

Step-by-step explanation:

Answer

q≤ -11

thats your answer i believe, just typing this because it said it was too short to post

Answer:

84 years

Step-by-step explanation:

Given :

At present :

Let :

daughter's age = x

Woman's age = 2x

21 years ago :

Woman's age = 3 times daughter's age

2x - 21 = 3(x - 21)

2x - 21 = 3x - 63

-21 + 63 = 3x - 2x

42 = x

Daughter's age = 42

Woman's age = 2x = 84

Hence, woman's present age is 42 years

Answer:

(-3, 5) satisfies both the equation 6x + 5y = 7 and the equation x + 4y = 17.

Step-by-step explanation:

Answer:

D (-3, 5) satisfies both the equation 6x + 5y = 7 and the equation x + 4y = 17.

Answer:

1)x=-6,y=1 2)a=0,b=-8 3)j=8,k=1 4)m=3,n=-6

Step-by-step explanation:

1)x-4y=-10,2x+y=-11

x-4y=-10

x=4y-10

2\left(4y-10\right)+y=-11

8y-20+y=-11

9y-20=-11

9y=9

y=1

x=4-10

x=-6

x=-6,y=1

2)a-3b=24,a+2b=-16

a-3b=24

a=3b+24

3b+24+2b=-16

5b+24=-16

5b=-40

b=-8

a=3\left(-8\right)+24

a=-24+24

a=0

a=0,b=-8

3)k-j=-7

4j-5k=27,-j+k=-7

4j-5k=27

4j=5k+27

j=\frac{1}{4}\left(5k+27\right)

j=\frac{5}{4}k+\frac{27}{4}

-\left(\frac{5}{4}k+\frac{27}{4}\right)+k=-7

-\frac{1}{4}k-\frac{27}{4}=-7

-\frac{1}{4}k=-\frac{1}{4}

k=1

j=\frac{5+27}{4}

j=8

j=8,k=1

4)m+n=-3,m-4n=27

m+n=-3

m=-n-3

-n-3-4n=27

-5n=30

n=-6

m=-\left(-6\right)-3

m=6-3

m=3

m=3,n=-6

Answer:

55 pirates

121 pirates

Step-by-step explanation:

Every 11 pirates for one pirate ship.

5 * 11 = 55

Therefore, it would be 55 pirates

11 * 11 = 121

Therefore, it would be 121 pirates

Answer:

The unknown angle is 65°

Step-by-step explanation:

Let the unknown angle be y

40°+75°+y = 180°

y = 180°-115°

y = 65°

Therefore, the unknown angle is 65°

Answer:

176cm

Step-by-step explanation:

Step 1

We find the circumference of the cylinder

The formula for the Circumference = 2πr or πD

π = 22/7

Hence;

22/7 × 7

= 22

Since the strip of paper eight times round a cylindrical pencil of diameter 7mm, the length of the paper is calculated as: 22 × 8

= 176cm

Answer:  16

Step-by-step explanation:

multiply 6 by the answers below  until you get 1/3 of 384.

Answer:

2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

-^-

Answer:

Slope: -5/4

y-intercept: 5

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

Answer:

129.05 is your answer.

Step-by-step explanation: Final price: $129.05

Saved amount: $15.95

Answer:

18/12= 1.5

Step-by-step explanation:

divide the larger inch by the smaller one so we get a ratio of 18:12

or 1.5:1

where the bigger one is 1.5 times larger for every inch of smaller pie

Answer:

I do not have a graph rn but I hope I helped

Step-by-step explanation:

well, yo just have to find 0.25 on the graph, mark it then do the same for -5.25 and 5.5

Answer:

scCXczxczxs davefrevs rgv sdfasdfadcfa afaFAFaDF

Answer:

45

Step-by-step explanation:

Answer: Answer is SSS ok

Hey there!

The answer to your question is x = 7

We can solve this by simplifying both sides of the equation:

2x - 6 = 8x - 48

Then, add 48 to both sides:

2x + 42 = 8x

Then, subtract 2x from both sides:

42 = 6x

Lastly, divide both sides by 6:

7 = x

Hope it helps! Have a great day, and good luck on your assignment!

Answer: distance from 15.3 to zero on a number line

Step-by-step explanation: