MATHEMATICS HIGH SCHOOL

Cate and Elena were playing a card game. The stack of cards in the middle had 26 cards in it, to begin with. Cate added 5 cards to the stack. Elena then took 13 cards from the stack. Finally, Cate took 4 cards from the stack. How many cards were left in the stack?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

so, 26+5-13-4=ANSWER!!!!!

26 cards to begin with.

Cate added 5 cards to the deck. +5

elena took 13 cards from the deck. -13

Cate took 4 cards from the deck. -4

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50 POINTS PLEASE HELP
* 16 points *. can somebody help me thanks

1. Use the figure below to answer the questions.

(a) Solve for x.

Answers

Based on the diagram representing a regular polygon, the value of x is equal to 61°.

How to determine the value of x?

In Mathematics and Geometry, the sum of the interior angles of both a regular and irregular polygon is given by this formula:

Sum of interior angles = 180 × (n - 2)

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

Sum of interior angles = 180 × (5 - 2)

Sum of interior angles = 180 × 3

Sum of interior angles = 540°.

Since all interior angles must be equal to 540, the measure of interior angle x is given by;

90 + 107 + 144 + 138 + x = 540°

479 + x = 540°

x = 540° - 479

x = 61°

Read more on interior angles here: brainly.com/question/13293407

#SPJ2

Let's see what to do buddy...

_________________________________

The sum of the angles of each n-sided figure is found in the following equation :

$(n - 2) * 180$

The question's figure is 5-sindes figure

so the sum the angles equal :

$(5 - 2) * 180 = 3 * 180 = 540 \n$

So we have :

$90 + 107 + 144 + 138 + x = 54 0 \n$

$479 + x = 540$

Subtract the sides of the equation minus 479

$x = 540 - 479$

$x = 61$

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Dante and Mia have a total of 350 pennies in their piggy banks, altogether. After Dante lost half of his pennies and Mia lost one third of her pennies, they both had an equal amount of pennies left. How many pennies did they lose altogether?

Answers

Answer:

150 pennies were lost altogether

Step-by-step explanation:

Let the initial number of pennies owned by Dante be x pennies

Let the initial number of pennies owned by Mia be y pennies

Mathematically ;

x + y = 350 •••••••(i)

So after losing half, dante will have x/2 pennies left.

Mia lost 1/3 so she will have 2/3y left

So after all the losses, they both had equal amount of pennies

This means that;

x/2 = 2y/3

Cross multiply;

3x = 4y •••••••(ii)

Let’s solve both equations simultaneously;

From i , x = 350-y

Substitute this into equation ii

3(350-y) = 4y

1050-3y = 4y

7y = 1050

y = 1050/7

y = 150

since x = 350-y

x = 350-150 = 200

Now Dante loss x/2 = 200/2 = 100

Mia lost 1/3y = 1/3 * 150 = 50

Total pennies lost = 100 + 50 = 150

140% of what number is 14?

Answers

140% of 19.6 is 14 and you are very welcome

140% of what number is 14
140% × number = 14
(140% = $(140)/(100)$ = 1.4)
1.4 × n = 14
Divide by 1.4 to isolate n
$(1.4n)/(1.4)$ = $(14)/(1.4)$
1.4 and 1.4 cancels out
n = 10

140% of 10 is 14

Check:
$(140)/(100)$ × 10 = 14
1.4 × 10 = 14
14 = 14

Which difference will be positive?

-4 - (-5)
-4 - 3
8 - 9
-6 - (-4)

Answers

The 1st one -4 - (-5) equals 1

The height of a box is 7 inches. Its length is 6 inches more than its width. Find the length if the volume is 280cubic inches.

Answers

h = 7
l = w + 6
V = 280

V = lwh

Plug in what we know:

280 = (w + 6)(w)(7)

Distribute W into the first parenthesis:

280 = (w^2 + 6w)(7)

Distribute 7:

280 = 7w^2 + 42w

Divide 7 to both sides:

40 = w^2 + 6w

Subtract 40 to both sides:

w^2 + 6w - 40 = 0

Factor:

(w - 4)(w + 10) = 0

Therefore, w = 4.

Plug this back into the equation for the length:

l = w + 6

l = 4 + 6

l = 10

$Volume=Length*Width*Height \n 280=(x+6)*x*7 \n 280=7x(x+6) \n 280=7x^(2)+42x \n 0=7x^(2)+42x-280 \n 0=7(x^(2)+6x-40) \n 0=7(x+10)(x-4) \n Since\ we\ can't\ have\ negative\ values,\ x=4 \n Width=4 \n Length=Width+6 \n Length=4+6 \n \boxed{Length=10}$

Solve the system:
2x-5y=7
3x-2y=-17

Answers

$\begin{cases}2x-5y=7 \ \ /*3 \n 3x-2y=-17\ \ / *(-2) \end{cases}\n \n\begin{cases}6x-15y=21 \n -6x+4y= 34 \end{cases}\n+ \ ------- \n-11y=55 \ \ / :(-11)\n \ny=-(55)/(11)$

$y=-5 \n \n 2x-5y=7\n \n2x-5*(-5)=7\n \n2x+25=7\n \n2x=7-25$

$2x=-18\ \ /:2 \n \n x=-(18)/(2) \n \nx=-9 \n \n\begin{cases} x=-9 \n y=-5 \end{cases}$

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