David and Lucy have sweets in the ratio 4:7. Lucy has
27 more sweets. How many does David have?

Answer:

She borrowed php4737.00.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

6% interest:

This means that [tex]I = 0.06[/tex]

19 months:

An year has 12 months, so [tex]t = \frac{19}{12} = 1.5833[/tex]

She paid an interest of php 450. How much money did she borrow​

This is P when [tex]E = 450[/tex]. So

[tex]E = P*I*t[/tex]

[tex]450 = P*0.06*1.5833[/tex]

[tex]P = \frac{450}{0.06*1.5833}[/tex]

[tex]P = 4737[/tex]

She borrowed php4737.00.

the solution is A^3+B^3 there is no other answer

9514 1404 393

Answer:

  (x, y) = (8, 2)

Step-by-step explanation:

The relevant equations are ...

  3x -y = 22

  x +2y = 12

__

We can eliminate y by adding twice the first equation to the second.

  2(3x -y) +(x +2y) = 2(22) +(12)

  7x = 56

  x = 8

Substituting into the first equation gives ...

  3(8) -y = 22

  y = 24 -22 = 2

The first number is 8; the second number is 2.

Answer:

C) (1, -3/2)

Step-by-step explanation:

the midpoint formula is the sum of the x-values divided by 2 followed by the sum of the y-values divided by 2

points: (1, 2) (1, -5)

[(1+1)/2, (2 + -5)/2]

(2/2, -3/2) or (1, -3/2)

Answer:

2(4+7) = 2×4 + 2×7 = 8 + 14 = 22

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

(1, 2) indicates that x=1 and y=2

A:

(2)-(1)=1

3(2)-4(1)≠10

B:

-2(2)+5(1)≠-1

D:

3(2)-(1)≠1

Answer:

At 1.5 seconds and 2.5 seconds

Step-by-step explanation:

Because this is parabolic motion, the object will reach the height of 68 feet when it's going up AND when it's coming down. In order to find out those times, you set the h on the left side of the equation equal to 68, because h stands for height.

Set that equal to 0 and factor to solve for t:

Using the quadratic formula, we get t = 1.5 and t = 2.5

The height of the object after 1 second is 229 feet.

It is required to find the height of the object after 1 second.

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations. sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer.

Given:

The polynomial - 16t² + vt+ s, represents the height (in feet) of an object,

where

v is the initial vertical velocity (in feet per second),

s, is the initial height of the object (in feet),

t is the time in seconds.

We are given;

v(o) = 45 ft/s

s(o) = 200 ft

According to given question we have,

Thus, polynomial that represents the height is;

h(t) = -16t² + vt+ s,

After a time of 1 second, height is;

h(1) = -16(1)² + 45*1+ 200

h(1) =-16+45+200

h(1) =229 feet

Therefore, the height of the object after 1 second is 229 feet.

Learn more about polynomial  here:

brainly.com/question/21610065

#SPJ2

Answer:

96 sq ft

Step-by-step explanation:

Ok so if the width of the rectangle rug is 12 ft then you have to do 12*2-2 which is 8. A rectangle with these dimensions has a perimiter of 40 and an area of 96. (Double check to make sure I'm correct)

Answer:

5.12

Step-by-step explanation:

Hello! :)

[tex]\large\boxed{g(3) = -10}[/tex]

If 3 is apart of the domain, then x = 3.

The range is equivalent to g(x), or the y-value. To solve for this when x = 3, we must plug 3 into the equation:

g(x) = -2x - 4

g(3) = -2(3) - 4

Simplify:

g(3) = -6 - 4

g(3) = -10

Answer:

4 1/4

Step-by-step explanation:

divide 255 by 60

Answer:

The first one..

Step-by-step explanation:

Answer:

The top one

Step-by-step explanation:

If you minus 19-10 you get 9 then if you divide 9 by 3 you get 3 which means that each soda costs 3 bucks

Answer:

5)9x+8y=-2

-5x+8y=26

A) (2,2)

Answer:

I- What? yes?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Your answer

New student price = 15$

Mark it as Brainlist answer. Follow me.

so normally we would be finding the area of a triangle which is a=h*b/2

but in this case we are finding the height so theirs 3 ways to do this but i prefer the basic way

20=1/2(5)h

20=2.5

8=h

and to find out if that was correct lets do  8*5=40      40/ 2 =20  so this is correct

the height is 8

Answer:8

Step-by-step explanation:

Answer:

32.4

32.4 is 45% of 72

Step-by-step explanation:

Solution:

What is 45% of 72?

Y is 45% of 72

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 45% * 72

Converting percent to decimal:

p = 45%/100 = 0.45

Y = 0.45 * 72

Y = 32.4

Answer:

2*square root 3, -2*square root 3, 1/3, -4

Step-by-step explanation:

Answer:

The answer is 3.

Step-by-step explanation:

Answer:

1. 27/9=3+9=12

2. 4+5x3=5x3=15+4=19

3. -9+-4=-13

4. 9--5=14

Answer:

20.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

u=6i-j

v=7i-4j

u.v=|6i-j||7i-4j| cos α,where α is the angle between u & v.

(6i-j).(7i-4j)=√(6²+(-1)²)√(7²+(-4)²) cos α

(6)(7)+(-1)(-4)=√37√65 cos α

42+4=√37√65  cos α

[tex]\cos \alpha =\frac{46}{\sqrt{37} \sqrt{65} } \\\alpha =\cos^{-1}\frac{46}{\sqrt{37} \sqrt{65} } \approx 20.28^\circ \approx 20.3^\circ[/tex]

Answer:

x = 60

Step-by-step explanation:

(x+22) + (x+6) + (x-28) = 180

x + 22 + x + 6 + x - 28 = 180

x + x + x + 22 + 6 - 28 = 180

3x = 180

x = 180/3

x = 60

Answer:

Triangle C

Step-by-step explanation:

Given

Triangle A, B, C and D

Required

Pick the odd triangle

From the attachment, we can see that:

A = Right angled triangle

B = Right angled triangle

C = Obtuse triangle

D = Right angled triangle

This is so because triangle C has one of its angles to be greater than 90 (i.e. 115) and other triangles (A, B and D) have an angle equal to 90, each.

Because C is obtuse and others are right-angled, then C is the odd triangle.

Answer:

1. T = -5 2. X = 12 3. X = 60

Step-by-step explanation:

5t + 17 = 4(t + 3)

1. Distribute 4

5t + 17 = 4t + 12

2. Isolate the variable

t + 17 = 12

t = -5

1/2x + 1/3x = 10

1. Remove fractions by multiplying the equation by 6

3x + 2x = 60

2. Combine like terms

5x = 60

3. Divide by coefficient

x = 12

1/4x + 2/5x = 39

1. Remove fractions by multiplying by 20

5x + 8x = 780

2. Combine like terms

13x = 780

3. Divide by coefficient

x = 60

9514 1404 393

Answer:

  (d)   y ≤ -7

Step-by-step explanation:

The solution is found by dividing by the coefficient of y. Since that is a negative number, the sense of the comparison is reversed.

  -8y ≥ 56

  (-8y)/(-8) ≤ 56/(-8)

  y ≤ -7

Answer:

10

Step-by-step explanation:

Let N represent the set of 5 hearts cards that are not flushes

From the image attached below; there are thirteen (13) denominations on deck

i.e.  (A,K,Q,J,10,9,8,7,6,5,4,3,2) in the deck

Let us take an integral look at the set of cards that contains consecutive dominations in hearts. Relating them from the lowest denomination to the highest denomination. Also, for hand to be in a straight all cards, they must be in consecutive order.

So, starting from the lowest straight A-2-3-4-5 to the highest straight, we would have a royal flush 10, J, Q, K, A

∴

[tex]N = \left \{ {{(A,2,3,4,5,),(2,3,4,5,6),(3,4,5,6,7),(4,5,6,7,8)(5,6,7,8,9)} \atop {(6,7,8,9,10),(7,8,9,10,J),(8,9,10,J,K),(9,10,J,K,L),(10,J,Q,K,A)}} \right. \}[/tex]

Hence, the total no of outcome for N = 10