Help and show work plz

Answer:

23 years old

Step-by-step explanation:

Savannah's age = x

Selena's age = y

Right now, x = 2y + 1

In 13 years, x = 1.5y

Here, we must use simultaneous equations to work it out.

x = 2y + 1

x + 13 = 1.5 x (y + 13)   --> x + 13 = 1.5y + 1.5 x 13   --> x + 13 = 1.5y + 19.5

x + 13 = 1.5y + 19.5

- 13

x = 1.5y + 6.5

x = 1.5y + 6.5 = 2y + 1

1.5y + 6.5 = 2y + 1

- 1

1.5y + 5.5 = 2y

- 1.5y

5.5 = 0.5y

x 2

11 = y

We know that y = 11

Savannah is currently twice her cat's age plus 1, so...

11 x 2 + 1 = 22 + 1 = 23 years old

Hope this helps!

P.S. If the cat lives 13 more years after this, it will be a very old cat lol :)

Cathy worked a total of 160 + 4 + 2 = 166 hours in a fortnight.

So the answer is 166

Here is the calculation:

Cathy's basic pay for the fortnight is 7.2 × 70 = $504.

Her overtime pay for the week is (1.5 × 7.2) × 9 = $97.2.

Her weekend pay is (2 × 7.2) × 6 = $86.4.

Her total pay for the fortnight is 504 + 97.2 + 86.4 = $687.6.

Therefore, Cathy worked a total of 160 + 4 + 2 = 166 hours in a fortnight.

So the answer is 166

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Answer:

just did this on a test and it was

The exponent 3 is an odd number.

Step-by-step explanation:

Hince the statements which justify it:

The base -2 is a negative number.

The exponent 3 is an odd number.

Julie gets a negative number for her final answer when solving the expression (-2)³ = -2 x -2 x -2

Because the base, -2, is a negative number.

When an odd number of negative numbers are multiplied together, the result is always negative.

In this case, there are three negative numbers (-2 x -2 x -2),

Which is an odd number, resulting in a negative answer.

However, since the base is negative, the result will always be negative for any odd exponent.

Therefore, the negativity of the base and the odd value of the exponent together lead to a negative final answer.

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Answer:

The correct answer is 10+6p

Step-by-step explanation:

The mistake is that for the first step instead of distributing 2 to 3p and 1 they added 8+2 first. your actually supposed to distribute and get, 8+6p+2, then combine like terms and get 10+6p

Answer:

Mistake: He added 8 to the 2 that you needed to multiply to the 3p and 1 inside the parentheses.

Correct solution: 10 + 6p

Step-by-step explanation:

8 + 2(3p + 1) =

8 + 6p + 2 =

10 + 6p

Hope that helps and maybe earns a brainliest!

Have a fantastic day! :)

Answer:

1) -1 - 0 fraction on top of -4 -3

Step-by-step explanation:

(x1,y1) and the second (x2,y2)

and the formula is x2- minus x1 over as ina fraction over y2- minus y1,,,, apply this to the other questions

Answer:

Hi there!!!

just use double point formula for the equation of st.line.

(i.e (y-y1 )= y2-y1/x2-x1 times (y-y1)

I hope the answers in the pictures will help you....

Answer:

Tessa has 3 ice-cream scoops

Step-by-step explanation:

Answer: 9 integers factors

Step-by-step explanation:

Let's first find the factor of 15552

15552 / 2 = 7776

7776 / 2 = 3888

3888 / 2 = 1944

1944 / 2 = 972

972 / 2 = 486

486 / 2 = 243

273 / 3 = 81

81 / 3 = 27

27 / 3 = 9

9 / 3 = 3

3 / 3 = 1

Some of the factors of 15552 are:

2×2×2×2×2×2×3×3×3×3×3

4×4×4×9×9×3

4^2 × 9^2 × 4 × 3

The factor that are perfect square are:

4, 9, 16, 36, 64, 81, 144, 576, 1296

Therefore, 9 of the positive integer factors of 15552 are perfect squares.

Answer:

Each column will be the same height.

Step-by-step explanation:

Mode refers to the most occurring number, and there are five within a data set that is 4 wide, so there will be 5 columns of equal length.

Answer

72-30=42. The answer is 42

Step-by-step explanation:

to find the area of this, we first need to add are to the missing space, so we can make a rectangle. If we multiply the dimension of this new shape, we get 72. Now we need to find the are of the triangle-shaped space I added. To do this I must multiply the base by the height, and then divide it by 2, after multiplying the base with the height, which gave me 60, I divided it by 2 which gave me 30. Then I subtracted 30 from 72, therefore giving me 42

Answer:

42cm2

Step-by-step explanation:

You can divide the shape into two parts from the length at the top and the length at the bottom. Which means you have two shapes A and B.

Area of A which is a triangle= 1/2bh

                                              = 1/2*5(THIS IS THE BASE OF THE TRIANGLE)12

                                              = 30CM2

Area of b which is a rectangle= L*W

                                                 = 1(LENGTH) * 12(WIDTH)

                                                 = 12CM2

So to get the total area of the shape you add the area of shape a and b

THE ANSWER IS 42cm2

Answer:

The y-intercept is 1/3.

Step-by-step explanation:

The equation given is in slope-intercept form. Recall that in slope-intercept form:

[tex]f(x)=mx+b[/tex]

m is the slope while b is the y-intercept.

Therefore, -2/9 would be the slope while 1/3 would be the y-intercept.

The table is a partial representation as we only see three data points. This is a limited view. Because of this, the answer is between C and D. However, we can rule out choice C as the equation will give us the complete view of what's going on. We can plug in any x value we want to find the corresponding y value (keep in mind that x and y can't be negative though). So that means the graph is a partial representation. This is true if the line segment doesn't extend forever upward. If we had a line segment through the endpoints (0,4) and (3,7), and it stopped at (3,7), then this is a limited view. It does not show what the bill would be if x were say x = 5.

Answer:

m = 1

Step-by-step explanation:

From the question given,

m(2x − 3) + n(x + 1) = 5x for all real numbers x.

Since x is a real number, we can obtain the value of m as follow:

Let x = 1

m(2x − 3) + n(x + 1) = 5x

m(2×1 − 3) + n(1 + 1) = 5×1

m(2 – 3) + n(2) = 5

m(– 1) + n(2) = 5

– m + 2n = 5 ...... (1)

Let x = 2

m(2x − 3) + n(x + 1) = 5x

m(2×2 − 3) + n(2 + 1) = 5×2

m(4 – 3) + n(3) = 10

m(1) + n(3) = 10

m + 3n = 10 ...... (2)

– m + 2n = 5 ...... (1)

m + 3n = 10 ...... (2)

Solve by elimination method

Add equation 1 and 2

– m + 2n = 5

+ (m + 3n = 10)

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

5n = 15

Divide both side by 5

n = 15/5

n = 3

Substitute the value of n into any of the equation to obtain the value of m. Here, we shall substitute n into equation 2.

m + 3n = 10

m + 3(3) = 10

m + 9 = 10

Collect like terms

m = 10 – 9

m = 1

Therefore, the value of m is 1

Answer:

cos x

Step-by-step explanation:

sin x = (sin x) / (1) and cot x = (cos x) / (sin x)

Put those fractions next to each other and multiply them out (numerator times numerator, denominator times denominator).

Cancel out the (sin x) in the numerator and denominator

You should be left with just (cos x) / (1), whoch equals just (cos x).

Hope this helps!

Answer:

10 gallons.

Step-by-step explanation:

A leaky faucet is losing water and;

filling a 7-gallon bucket  every 21 hrs.

So 7 gallons of water are leaked in 21 hrs

We are to find the number of gallons that will be leaked in 30 hrs.

Cross-multiplying this gives;

[tex]\frac{30 * 7}{21}[/tex] = 10 gallons.

Answer:

300 ft²

Step-by-step explanation:

Surface area= area of base + 4*area of triangle

a= 10 ft

h= 10 ft

Surface area:

Answer:

3

Step-by-step explanation:

Basically we need to find out whats the remainder of 1425 when you divide by 9.

1425/9 = 158 R3

R3 is 3 marbles left, so the answer is 3.

Answer:

201

Step-by-step explanation:

use the law of sines

sine B / b = sine C / c

sine 75 / 19.6 = sine C / 12.5

inv sine C = ( sine 75 * 12.5 ) / 19.6

C = 38

the bearing C = 180 + 59 - 38 = 201

Answer:

-1 + w ≤ 4

Step-by-step explanation:

w is greater than -1 = -1 + w

Less than or equal to 4 = (anything less than or equal to 4)≤4

Answer:

[tex]-1<w\leq 4[/tex]

This shows that w is greater than -1 and less than or equal to 4

, through an inequality.

This is the greater than symbol: <

This is the less than or equal to symbol: [tex]\leq[/tex]

Hope that helped!!!

Answer:

101/120, 102/120, 103/120, and 104/120.

Step-by-step explanation:

First find the LCM of 6 and 8:24

So the two given fractions are 20/24, and 21/24

Since the the fractions will become decimals with the denominator 24, choose another denominator: 48

So the two given fractions are 40/48 and 42/48.

Even this denominator isn't possible so continue with different denominators.

As I notice, that each multiple increases by 1...

20-21, 40-42, 60-63, 80-84, and 100-105.

100-105 is the only numerator that has 4 numbers in-between so, the four fractions between 5/6 and 7/8 are: 101/120, 102/120, 103/120, and 104/120.

And the 2 given fractions are 100/120 and 105/120.

I hope this helps and plz mark me brainliest!!

The fractions between 5/6 and 7/8 are 6/7, 13/15, 11/13, and 17/20.

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator, and denominator.

For the given situation,

The fractions are 5/6 and 7/8.

The fractions between any two fractions can be obtained by adding them without considering the denominator.

Fraction 1:

[tex]\frac{5+7}{6+8}=\frac{12}{14}[/tex]

⇒ [tex]\frac{6}{7}\\[/tex]

Fraction 2:

[tex]\frac{6+7}{7+8} = \frac{13}{15}[/tex]

Fraction 3:

[tex]\frac{5+6}{6+7} = \frac{11}{13}[/tex]

Fraction 4:

[tex]\frac{6+11}{7+13}=\frac{17}{20}[/tex]

Hence we can conclude that the fractions between 5/6 and 7/8 are 6/7, 13/15, 11/13, and 17/20.

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Hey there! I'm happy to help!

In our problem, 100 is a certain percent of 80. When talking about percents, the word "is" means equals. Let's represent our certain percent with p and solve for it.

100=80p

Let's flip the equation around so p is on the left side.

80p=100

We divide both sides by 80.

p=1.25

As a percent, the increase is 125%.

Have a wonderful day!

Answer:

25 square inches

Step-by-step explanation:

A square has 4 congruent sides.

By knowing the perimeter of a square, you can find the length of a side.

perimeter = 4 * side

20 in. = 4s

s = 20 in./4

s = 5 in.

A side of this square measures 5 in.

Now we use the area formula to find the area of the square.

area = (side)^2

area = (5 in.)^2

area = 25 in.^2

Answer:

The area will be 25 inches.

Step-by-step explanation:

Hi! So, this might be a pretty easy question for some people, but I can see how it might be confusing.

If you want to find the area of a square, which has four equal sides, it's pretty easy. You just need to know the length of one side instead of two different lengths, because both are equal!

The question gives you the perimeter, which is 20 inches. To get the perimeter of something, like this square, you add up all the sides. All you have to do to find the length of one side is divide the total sum of the sides, 20 (perimeter!)  by the number of sides you have, four!

Note: This won't work with things like rectangles. You can only do things like this with squares, because you know ahead of time that all of the sides will be equal.

So! 20 divided by the number of sides, 4, is five!

Know we know all we need to be able to find the area of the square. To find the area, all you have to do is multiply the length of the square (5) by the width of the square (also 5!) That's 25, which is the area of your mystery square.

Hope you understand and this helps!

Answer:

Isn’t it just 8/26

Step-by-step explanation:

Since 1 is 1/26 so 8 is just 8/26?

The part of a year is 8 fortnights is ( 8 / 26 ).

Multiplication is the process of determining the product of two or more numbers in mathematics.

It is given that a fortnight is 1/26 of a year. The part of the year for 8 fortnights is calculated as:-

⇒ 8 x ( 1 / 26 )

⇒( 8 / 26 )

Therefore, the part of a year is 8 fortnights is ( 8 / 26 ).

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Answer:

VW=35

YZ=50

Step-by-step explanation:

As they are similar triangles with a ratio of 1:2 and we know VW:XZ=1:2, we can make the equation:

2(4y+7)=12y-14

8y+14=12y-14

4y=28

y=7

So, VW=4(7)+7=35.

Similarly, you can find YZ through VT:

2(7x-17)=8x+2

14x-34=8x+2

6x=36

x=6

Therefore, YZ=8(6)+2=50.

Answer:

1.  Determined

2. area of study

3. artistic writing

Step-by-step explanation:

Hope this helps! <3

Answer:

✔ determined

✔ area of study

✔ artistic writing

Explanation:

Answer:

It’ll be a 1/8 chance

Step-by-step explanation:

Uh pretty much, if you were to roll one of those 4 sides die it’ll be a 1/4 of being a 2 in which it was. If you were to roll it again it’ll be another 1/4 chance but back to back it’ll be a 1/8 chance

Answer:

All numbers except 1

Step-by-step explanation:

The graph has an asymptote at 1.

So the function will grow toward but without reaching it.

The equation of the asymptote is x=1

So the domain is all real numbers except 1.

Answer:

The car would be worth 1200.

Step-by-step explanation:

  Okay, the way to solve this type of question is quite simple,

you would start with the amount is lost per year being $325 a year, then multiply that by the 4 years grandpa waited and then subtract the overall amount lost in worth of the car from the original price and you got your answer.

The math: 2500-(325*4)=1200

Answer: 10 days

Step-by-step explanation:

20/2 = 10

Answer18

Step-by-step explanation:

Answer:

A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at negative 0.5 and is pointing to the left.

Step-by-step explanation:

Required

[tex]2x - 6 \geq 6(x - 2) + 8[/tex]

Required

Determine the number line

[tex]2x - 6 \geq 6(x - 2) + 8[/tex]

Open the bracket

[tex]2x - 6 \geq 6*x - 6*2 + 8[/tex]

[tex]2x - 6 \geq 6x - 12 + 8[/tex]

[tex]2x - 6 \geq 6x - 4[/tex]

Collect Like Terms

[tex]2x - 6x \geq 6 - 4[/tex]

[tex]- 4x \geq 2[/tex]

Divide both sides by -4

[tex]\frac{- 4x}{-4} \geq \frac{2}{-4}[/tex]

[tex]x \leq -0.5[/tex]

From the list of given options, the correct answer is option C

Answer:

b

Step-by-step explanation: