Piece of Cake!
Solve this problem:
A cake has 79 slices.
Harry ate 47 slices; Jack ate 14 slices; Dave ate 10 &
Mary ate 8 slices.
What fraction of the cake is remaining?

Answer:

1,350

Step-by-step explanation:

15% of 9,000 is 1,350, you can multiply 9000 by .15.

Answer: m∠5 = 75°.

Step-by-step explanation:

We know that lines A and B are parallel, and angles 1 and 5 are formed by the same line intersecting the parallel lines.

We know that:

"When a line intersects two parallel lines, corresponding angles are formed, such that we could think on four quadrants, the angles in each quadrant are equivalent between them"

Well, here we can see that angle ∠1 and angle ∠5 are formed by the same line, and both are in the same quadrant (would be the third quadrant if we use standard notation)

Then the measure of ∠1 is the same as the measure of ∠5

And we know that m∠1 = 75°

Then we must have that m∠5 = 75°.

This question is dealing with classification of triangles based on angles or on number of equal sides.

the triangle is called an Obtuse Scalene Triangle

- Acute angle is when the angle measures between 0 and 90 degrees.

- Obtuse angle is when the angle is greater than 90 but less than 180 degrees.

- right angle is when the angle is exactly 90 degrees.

- Reflex angle is when the angle is greater than 180 but less than 360 degrees.

- Isosceles triangle is one that has  2 equal sides.

- Equilateral triangle is one that has 3 equal sides.

- Scalene triangle is one that has no equal sides.

The lengths of the three sides of the triangle given are;

5 cm, 9 cm, and 12.7 cm

The three sides are not equal and from definition above it is called scalene triangle.

The angle given is 128° and from definition earlier, it is an obtuse angle.

In conclusion, the triangle is called an Obtuse Scalene Triangle

Read more at; brainly.com/question/8704415

Answer: x=-2

Step-by-step explanation:

Given

-3x=-x+4

Add x on both sides

-3x+x=-x+4+x

-2x=4

Divide -2 on both sides

-2x/-2=4/-2

x=-2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x = -2

Step-by-step explanation:

-3x = -x + 4

Add x to the left hand side to bring all like terms together.

-3x + x = 4

Combine like terms.

-2x = 4

Divide both sides by -2.

x = -2

Hope this helped!

Answer:

10 days

Step-by-step explanation:

2/.2=10

Answer:

D:10 days

Step-by-step explanation

1/5 ÷ 10 = 0.02 in decimal form.

hope that helps

Answer:Abby bought 3 sweat shirts and 7 t shirt

Step-by-step explanation:

Step 1

Let sweat shirt be represented as s

and t shirts be represented as t

such that the total  umber of items bought which equals 10 can be written as

s+ t= 10---- equation 1

and total price of the gear with each item costing  $25 on sweatshirt $11 on  t-shirts be expressed as

25 s+ 11 t = 152---- equation 2

Step 2

s+ t= 10-----equation 1

25s+ 11t= 152----equation 2

By elimination method , multiply equation 1 by 10  and subtract equation 2 from it

25 s+ 25t= 250----- equation 3

-25s + 11t= 152-----equation 2

14t=98

t=98/14= 7

To find s, using equation 1

s+t=10

s= 10-7= 3

Abby bought 3 sweat shirts and 7 t shirt

Answer:

2/3

[tex] \frac{3 \times 6}{9 \times 3} [/tex]

[tex] = \frac{18}{27} [/tex]

[tex] \frac{18 \div 9}{27 \div 9} [/tex]

[tex] = \frac{2}{3} [/tex]

Answer:

The y-coordinate of the solution is thus -5.

Step-by-step explanation:

Rewrite 5x-y=25 4x+3y=1

in a column:

5x-y=25

4x+3y=1

If we want to find the y-coordinate of the solution, we need to eliminate x.  Solving the second equation for 4x yieds 4x = 1 - 3y, or

x = (1 - 3y)/4.

If this is inserted into 5x - y = 12, we get:

5(1 - 3y)/4 - y = 25, or (multiplying all terms by 4 to eliminate fractions):

5 - 15y - 4y = 100, or

-19y = 95, which yields y = -5

The y-coordinate of the solution is thus -5.

Answer:

600

Step-by-step explanation:

set x as the number

x0.10 = 60

x = 60/0.10

x = 600

Answer:

For me i think its 16.67 well im not fully sure

Step-by-step explanation:

SO we have to figure out what gives us 10 and that will be represented as "x"

[tex]\frac{60}{100}[/tex]  × x = 10

Multiplying both sides by 100 and dividing both sides by 60,

we have x = 10 × [tex]\frac{100}{60}[/tex]  so, x = 16.67

(that's what i believe but i don't know)

Answer:

its 10

Step-by-step explanation:

Answer:

Let Two Numbers be=x and y

Sum of two Numbers=52

X+Y=52

X=52-Y. (Equation 1)

Difference=2

X-Y=2

.Putting Value of X=52-Y

52-Y-Y=2

52-2y=2

52-2=2y

50=2y

y=50÷2

y=25

We Get Y=25

X=52-Y

X=52-25

X=27

Prove

X+Y=52

27+25=52

X-Y=2

27-25=2

X=27

Y=25

Numbers=27,25

Step-by-step explanation:

:)

Answer:

£6.4

Step-by-step explanation:

£1 = $1.35

To find out the amount of £ , we would simply divide $8.70 by 1.35.

$8.70 / $1.35 = £6.4 rounded to 2 s.f.

Answer:

15.65

Step-by-step explanation:

16.9 + x = 32.55

x = 32.55 - 16.9

Answer:

15.65 ounces

Step-by-step explanation:

32.55-16.9=15.65 ounces

Answer:

$111400

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5.7%/100 = 0.057 per year,

then, solving our equation

I = 100000 × 0.057 × 2 = 11400

I = $ 11,400.00

The simple interest accumulated

on a principal of $ 100,000.00

at a rate of 5.7% per year

for 2 years is $ 11,400.00.

Answer:

4, 5, 10

Step-by-step explanation:

x=shortest side

one side =4

3x-5=long side

(3x-5)+x+4=19

4x-5+4=19

4x=20

x=5

long side = 3(5)-5=10

Answer:

[tex]h=\frac{15.625}{pi}[/tex]

h ~ 4.974

Step-by-step explanation:

The formula for the volume of a cylinder is;

[tex](pi)(r^{2})(h)=V[/tex]

Where [tex](pi)[/tex] represents the value, [tex]3.1415...[/tex]

[tex](r)[/tex] represents the radius of the given cylinder. In other words, if one were to take a base (the flat side in the case of the cylinder) of the figure. The distance from the center to a point on the outside of the circle is the radius.

[tex](h)[/tex] represents the height of the object. In other words the distance between the two bases of the cylinder.

[tex]V[/tex] represents the volume, in other words, the space that the object takes up.

In this problem, one is given the diameter of the cylinder and the volume. One is asked to find the area.

The diameter of a circle is the distance between two opposite sides of the circle. The diameter will always pass through the center of the circle. To find the radius when given the diameter, one will divide by 2.

To solve this problem, one will substitute in the given information and solve for the height using inverse operations.

[tex](pi)(r^{2})(h)=V\\\\(pi)((\frac{8}{2})^{2})(h)=250\\\\(pi)(16)(h)=250\\\\(pi)(h)=15.625\\\\(h) = \frac{15.625}{pi}\\\\h- approx. 4.974[/tex]

Answer:

6 x (3+9) add 3 and 9 = 12

6×12 = 72

Answer:

72

Step-by-step explanation:

3+9=12

12*6= 72

do everything in parenthesis first so to solve this you would do 3+9 which equals 12 then multiply 12 with 6 which gives you the answer 72 hope this helps have a good rest of your night :) ❤

Answer: 1.175A

Step-by-step explanation:

From the information given in the question, we are told that the amount of money that is in a bank account increased by 17.5% while the money at the beginning of the year is represented by A.

The expression that represents the amount of money in the bank account after the increase will be:

= A + (17.5% × A)

= A + (17.5/100 × A)

= A + (0.175 × A)

= A + 0.175A

= 1.175A

Answer:

p=2

Step-by-step explanation:

9(p-4)=-18

9p-36=-18

9p=18

p=2

Answer: p=2

Step-by-step explanation:

Divide -18 by 9 to get (p-4)=-2 and then add the 4 to the 2 to get the answer of 2

Answer:

I Think its B

Step-by-step explanation:

Edge 2021

Answer:

15.25

Step-by-step explanation:

You're Welcome!

Answer:

15.25 (what's important to remember when doing problems with decimals is remembering to put it in the right place. )

hope this helped you out!

Step-by-step explanation:

Answer:

Step-by-step explanation:

5h + c = 8.50

2h + 3c = 6

Multiply first equation by -3, then add it to second equation.

-15h - 3c = -25.50

 2h + 3c = 6

------------------------

-13h = -19.50

h = -19.50/(-13)  = 1.5

c = 8.50-5h = 1'

hot dog costs $1.50

chips cost $1

Answer:

u do 14 x 8 then + 78 then x = your answer

Step-by-step explanation:

sorry I dont have a calculator near me but just put that in!!!

Answer:

100 g

Step-by-step explanation:

You would multiply the butter by 2.

Responder:

suma de ángulos interiores = 900 °

Suma de ángulos exteriores = 360 °

Explicación paso a paso:

Un heptágono es un polígono de 7 lados:

Para cualquier polígono con n lados:

El ángulo exterior del polígono suma 360 °

Por lo tanto, la medida de cada ángulo central de un heptágono es:

Suma de ángulos exteriores / número de lados

360 ° ÷ 7

= 51,43 °

El ángulo interior de un polígono se obtiene mediante la relación:

(n - 2) 180 °

Heptágono tiene 7 lados:

(7 - 2) 180 °

5 (180 °)

= 900 °

Por tanto, suma de ángulos interiores = 900 °

Suma de ángulos exteriores = 360 °

Answer:

56.3%

Step-by-step explanation:

0.5625×100= 56.25%

round to the nearest tenth.. which is 56.3%

Answer:

Fred = 31

Natalie = 15

Step-by-step explanation:

We have Natalie and Fred's whos age are unknown, we know that when added, their ages equal 46. While when multiplied with Natalie's age 4 times, their ages is 91.

Create two systems :

F = Fred

N = Natalie

F + N = 46

4N + F = 91

We can change the first equation to Natalie's age alone :

N = 46 - F

Now substitute this into the second equation :

4(46 - F) + F = 91

Distribute :

184 - 4F + F = 91

Subtract 184 from both sides :

-4F + F = -93

Add like terms :

-3F = -93

Divide -3 from both sides :

F = 31

Therefore, Fred is 31 years old. Now replace his age in the first equation :

31 + N = 46

46 - 31

15

Therefore, Natalie is 15 years old.