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3 years ago

43 children attended a birthday party were cake burgers and hotdogs were served

Mathematics

1 answer:

bekas [8.4K]3 years ago

7 0

Answer: Each kid will receive one piece of cake and 1 hot dog, so 43 x 2 = 86

Step-by-step explanation:

43x2= 86

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Write the missing base.

belka [17]

The base would be 1/3
since 1/3 x 1/3 is 1/9

6 0

3 years ago

For the quadratic function <img src="https://tex.z-dn.net/?f=y%3D%28x%2B4%29%5E2-1" id="TexFormula1" title="y=(x+4)^2-1" alt="y=

xenn [34]

Answer:

$y=x^2+8x+15$

Intercept form is y= (x+5)(x+3)

vertex is (-4,1)

y intercept is (0,15)

x intercepts are (-5,0) (-3,0)

Step-by-step explanation:

Given quadratic function

$y=(x+4)^2-1$

To rewrite it in standard form we need to expand (x+4)^2

$y=(x+4)(x+4)-1$

$y=x^2+8x+16-1$

$y=x^2+8x+15$

Intercept form is y=a(x-p)(x-q)

Factor x^2 + 8x + 15

product is 15 and sum is 8, 5*3= 15 and 5+3=8

(x+5)(x+3)

Intercept form is y= (x+5)(x+3)

Vertex form of equation is y=(x-h)^2+k

where (h,k) is the vertex

$y=(x+4)^2-1$ , here h = -4 and k =1 so vertex is (-4,1)

To find y intercept plug in 0 for x

y= (x+5)(x+3)

y= (0+5)(0+3) = 15, so y intercept is (0,15)

to find x intercept plug in 0 for y

y= (x+5)(x+3)

0= (x+5)(x+3), x+5 =0 and x+3=0

x=-5 and x= -3

So x intercepts are (-5,0) (-3,0)

6 0

3 years ago

The diagonals of a rhombus are 12 cm and 7 cm. Find the size of the smaller angle of the rhombus

photoshop1234 [79]

The diagonals of a rhombus intersect each other at the midpoints and they are also perpendicular . So at the smallest angle we have a right angled triangle with legs 6 and 3.5. Also this smallest angle (x) is bisected by the diagonal.
so we have:-

tan (x/2) = 3.5 / 6

x/2 = 30.256 degrees

x = 60.51 degrees to nearest hundderth

8 0

4 years ago

Now, expand the expression 1/2(13x+5x-6-8x+14)=1/2(10x+8)

Dima020 [189]

Answer:

5x + 4

Step-by-step explanation:

3 0

3 years ago

Find the quotient (line over 42 is repeating)

strojnjashka [21]

The correct answer is: [C]:  " $\frac{21}{11}$ " .
_____________________________________________________

<span>Explanation:
_____________________________________________________
</span>
Let us begin by converting the:
"0.42 (with the "repeating bar on the digits, "42") " ;

into a fraction, as follows:
______________________________________________________
Let x = 0.42424242424242424242424242424242....

100x = 42.42424242424242424242424242424242....
______________________________________________________

100x = 42.42424242424242424242424242424242....
– x = 0.42424242424242424242424242424242...
______________________________________________________
99x = 42.000000000000000000000000000000.... ;

→ 99x = 42 ;

Divide each side of the equation by " 99 " ;
to isolate "x" on one side of the equation; & to solve for "x" ;
______________________________________________________
→ 99x / 99 = 42/99 = (42 ÷ 3) / (99 ÷ 3) = 14/ 33;

→ x = " $\frac{14}{33}$ " .

So; "0.42 (with a repeating bar over the digits, "42" ;

is equal to: " $\frac{14}{33}$ "
________________________________________________
So, rewrite the question/problem being asked:
________________________________________________
"Find the quotient:
________________________________________________
$\frac{14}{33}$ ÷ $\frac{2}{9}$ ;

=   $\frac{14}{33}$ * $\frac{9}{2}$ ;

Note: The "14" cancels to a "7" <span>; and</span> the "2" cancels to a "1" ;
→ {since: " 14 ÷ 2 = 7 " ; and since: " 2 ÷ 2 = 1 "} ;

Note : The "33" cancels to an "11" ; and the "9" cancels to a "3" ;
   → {since: " 33 ÷ 3 = 11 " ; and since: " 9 ÷ 3 = 3 "} ;

And we can rewrite the problem as:
____________________________________________________

" $\frac{7}{11}$ * $\frac{3}{1}$ " ;

= $\frac{(7*3)}{(11*1}$ = $\frac{21}{11}$ ;

→ which is: Answer choice: [C]: " $\frac{21}{11}$ " .
____________________________________________________

3 0

4 years ago