Vivian and her friend Maddie are each baking apple pies and tarts for a bake sale, using the same recipes. Vivian baked 10 apple pies and 10 apple tarts, using a total of 130 apples. Maddie made 10 apple pies and 5 apple tarts, which used 100 apples. How many apples does each dessert require?

Answer:

165

Step-by-step explanation:

The symbol [tex]\sum[/tex]  is used to denote a sum of multiple terms.

The number below [tex]\sum[/tex] is the first term.

The number above [tex]\sum[/tex] is the last term.

Each term can be determined by using the given equation.

[tex]\begin{aligned}\displaystyle \sum_{n=3}^{8}5n & =5(3)+5(4)+5(5)+5(6)+5(7)+5(8)\\ & = 5(3+4+5+6+7+8)\\ & =5(33)\\ & = 165\end{aligned}[/tex]

So

[tex]\\ \rm\Rrightarrow \sum^8_{n=3}5n[/tex]

[tex]\\ \rm\Rrightarrow 5(3)+5(4)+5(5)+5(6)+5(7)+5(8)[/tex]

[tex]\\ \rm\Rrightarrow 15+20+25+30+35+40[/tex]

[tex]\\ \rm\Rrightarrow 165[/tex]

Answer: 2.04

Step-by-step explanation:

2+2=4

4/50 = 2.04

June 21st - summer solstice

December 21st - winter solstice

hope it helps...!!!

Answer:

ummmm..... let's see..

Step-by-step explanation:

using "Almighty formula"

{Y = –x +/– √b^2 – 4ac / 2a}

so we name all the values behind the coefficients which are; –1^2, 8 and 11

so let's assign a,b,c to these values:

a =–1, b =8, c = 11

all you just do now is to add these values to the formula

you should be having Y =1 +/– √8^2 – 4×–1×11

———————————

2×–1

Y =1 +108

———— or Y = 1–108

–2 –––––

–2

now add and divide to get Y.

(your answer will be two)

Answer:

See below

Step-by-step explanation:

A POUND IS   1/2000 of a ton    so  multiply the number of pounds by 1/2000 to find the number of tons   therefore   67 000 pounds is 33.5 tons

Answer:

A pound is (larger) than a ton, so (multiply) the number of pounds by (1000) to find the number of tons. Therefore, 67,000 pounds is  (33.5) tons.

Step-by-step explanation:

when you see ( ) it means it's the answer

Answer:

[tex]-6x+71= -4x-1[/tex]

[tex]-6x+71-71=-4x-1-71[/tex]

[tex]-6x=-4x-72[/tex]

[tex]-6x+4x=-4x-72+4x[/tex]

[tex]-2x=-72[/tex]

[tex]\cfrac{-2x}{-2}=\cfrac{-72}{-2}[/tex]

[tex]x=36[/tex]

Hope it helps u!! ^-^

Hey ! Buddy .

As the question is in Spanish . So we have provided your answer in English as well as in Spanish language .

( ¡Oye! Amigo, la pregunta es en español. Así que hemos proporcionado su respuesta tanto en inglés como en español. )

Answer:

Step-by-step explanation:

In this question we have given with an equation that is -6x + 71 = -4x - 1 . And have to find the value of x .

( En esta pregunta hemos dado con una ecuación que es -6x + 71 = -4x - 1 . y hay que encontrar el valor de x )

Solution : -

( Soluciones : - )

[tex] \quad : \implies - 6x + 71 = - 4 - 1[/tex]

Step 1 : Subtracting 71 on both sides :

( Paso 1 : Restando 71 en ambos lados: )

[tex]\quad : \implies - 6x + \cancel{71} - \cancel{71} = - 4x - 1 - 71[/tex]

On calculating further, We get :

( Al calcular más, obtenemos : )

[tex]\quad : \implies - 6x = - 4x - 72[/tex]

Step 2 : Adding 4x on both sides :

( Paso 2 : Sumando 4x en ambos lados: )

[tex]\quad : \implies - 6x + 4x = - \cancel{4x} + \cancel{4x } - 72[/tex]

On calculating further, We get :

( Al calcular más, obtenemos : )

[tex]\quad : \implies \cancel{-} 2x = \cancel{-}72[/tex]

Step 3 : Dividing by 2 on both sides :

( Paso 3 : Dividiendo por 2 en ambos lados: )

[tex]\quad : \implies \frac{ \cancel{2}x}{ \cancel{2} } = \cancel{\frac{72}{2} }[/tex]

On calculating further , We get :

( Al calcular más, obtenemos : )

[tex]\quad : \implies \: \green{ \boxed{ \frak{x = 36}}}[/tex]

Verifying : -

( Comprobación :- )

We are verifying our answer by substituting value of x in given equation. So ,

( Estamos verificando nuestra respuesta al sustituir el valor de x en la ecuacióndada. Asi que, )

Therefore, our solution is correct.

( Por lo tanto, nuestra solución es correcta. )

Answer:

y=3/4x-7

Step-by-step explanation:

(0,-7) is the y-intercept

3/4 is the slope

y=mx+b

m is the slope

b is the y-intercept

plug it in:

y=3/4x-7

please mark brainliest!

Answer:

C. 7,22,25

Step-by-step explanation:

A. 3,4,5

=> p² + b² = h²

=> 3²+4² = 5²

=> 9+16 = 25

=> 25 = 25

B. 5,12,13

=> 5² + 12² = 13²

=> 25 + 144 = 169

=> 169 = 169

C. 7,22,25

=> 7² + 22² = 25²

=> 49 + 484 = 625

=> 533 ≠ 625

D. 8,15,17

=> 8² + 15² = 17²

=> 64 + 225 = 289

=> 289 = 289

so, the side that lengths do not make up right triangle is C. 7,22,25

Answer:

6391004

Step-by-step explanation:

hope this helps

Answer:

6391004

Step-by-step explanation:

The question is basically saying that a number is more than 47,56,908 by 16,34,096.

So that number will be 4756908+1634096  =

6391004

Therefore that number is 6391004

Answer:

35%

Step-by-step explanation:

The required percentage of the mocha cupcakes that were sold that day is 85%.

Given that,
A bakery sells mocha cupcakes and chocolate cupcakes. One day it sold 238 mochas and 42 chocolate. What percent of the cupcakes sold that day were mocha is to be determined.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Number of mocha cupcakes = 238
Number of chocolate cupcakes = 42
Total cupcakes = 238 + 42 = 280
Percentage of mocha sold = 238/280 = 0.85 or 85%

Thus,  the required percentage of the mocha cupcakes that were sold that day is 85%.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ5

to get the equation of any straight line, we simply need two points off of it, let's use those two points in the picture below.

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{0}}}\implies \cfrac{3}{1}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_2=m(x-x_2) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_2}{5}=\stackrel{m}{3}(x-\stackrel{x_2}{1})[/tex]

keeping in mind that for the point-slope form, either point will do, in this case we used the second one, but the first one would have worked just the same.

Answer:

3

Step-by-step explanation:

Because there are about 3,000 fish in the lake, 3,000 is 30 percent of 10,000. C or (3) gives the 6 percent each way around 30.

Answer:

Below.

Step-by-step explanation:

√23 = 4.796

√24 = 4.899.

- both correct to the nearest thousandth,

Answer:

Zack received $32 for each hockey stick

Step-by-step explanation:

how I did it:

$71+$25=96

now you divide 96 by 3

      3 2

3    9  6

− 9  

 0 6

−   6

   0  

96 divided by 3 is equal to $32.

Hence, Zack received $32 for each hockey stick.

Answer: 6

Step-by-step explanation:

Classmate: 56/100 × 75/1 =42

relative: 80/100 × 60/1 = 48

Difference is 6

The GCF for 45,36,60 is 3

The LCM for 45,36,60 is 180

hope this helps

VW = 6

HOPE IT HELPS...!!!

Answer:

4/9, 44.4%

Step-by-step explanation:

16 tiles are blue out of 36

16/36 = 4/9

4 ÷ 9 × 100 = 44.4%

Answer:

Um I can only see a graph

Step-by-step explanation:

Answer:

dont know bro

Step-by-step explanation:

Answer:

x = -6 or 6

Step-by-step explanation:

=> x² - 36

=> x² - 6²

=>(x + 6 ) (x - 6)

=> x = -6 or x = 6

[tex]x^2-36\\\\=x^2-6^2\\\\=(x+6)(x-6)[/tex]

Answer:

1/8 is the probability to have exactly one head

Answer:

C. 27

Step-by-step explanation:

If those two triangles are similar then look at how much one side is being increased to the other triangle. ML is similar to PQ and it increases by 1.5 to get there.

So find the side similar to RQ which is LN

1.5(x+7)=2x+5

1.5x+10.5=2x+5

5.5=0.5x

x=11

Then plug in 11 for x to find RQ which will be 27

Answer:

45 + X

Step-by-step explanation:

i didnt read it correctly sorry

Answer:

(- [tex]\frac{1}{5}[/tex] , 0 )

Step-by-step explanation:

to find where the line crosses the x- axis, let y = 0 in the equation and solve for x

5x - 2(0) + 1 = 0

5x - 0 + 1 = 0

5x + 1 = 0 ( subtract 1 from both sides )

5x = - 1 ( divide both sides by 5 )

x = - [tex]\frac{1}{5}[/tex]

the line crosses the x- axis at (- [tex]\frac{1}{5}[/tex], 0 ) or ( - 0.2, 0 )

Answer:

(-1/5, 0).

Step-by-step explanation:

Where the line crosses the axis the value of y = 0.

5x - 2y + 1 = 0

Let y = 0, then:

5x - 2(0) + 1 = 0

5x + 1 = 0

5x = -1

x = -1/5.

So the point is (-1/5, 0).

[tex]2x+5y= 4~~~...(i)\\\\2x-2y = 18~~~...(ii)\\\\(ii) -(i):\\\\~~~~~2x-2y -2x -5y= 18 -4\\\\\implies -7y = 14\\\\\implies y = -\dfrac{14}7\\\\\implies y= -2\\\\\text{Substitute}~ y=-2~ \text{ in eq (i):}\\\\~~~~~~2x+5(-2) = 4\\\\\implies 2x-10 = 4\\\\\implies 2x = 10+4\\\\\implies 2x =14\\\\\implies x = \dfrac{14}2\\\\\implies x =7\\\\\text{Hence}~ (x,y) =(7,-2).[/tex]

Answer:

              y = -2

              x = 7

Step-by-step explanation:

     Solving simultaneous equation

         2x + 5y = 4 ---------------(I)

         2x - 2y  = 18 -----------(II)

Now, multiply equation (II) by (-1) and then add the equations. So that, 'x' will be eliminated and we can find the value of 'y'

(I)              2x + 5y = 4

(II)*(-1)      -2x  + 2y = - 18 {Now add}

                         7y = -14

                           y = -14/7       {on dividing both sides by 7}

       [tex]\sf \boxed{y= -2}[/tex]

Now plugin y = -2 in equation (I)

        2x + 5*(-2) = 4

           2x - 10   = 4

                    2x = 4 + 10     {on adding 10 to both sides}

                    2x = 14

                       x = 14/2      {Divide both sides by 2}

         [tex]\sf \boxed{x = 7}[/tex]