Madelyn and her friend Beth are each baking apple pies and tarts for a bake sale, using the same recipes. Madelyn baked 1 apple pie and 3 apple tarts, using a total of 19 apples. Beth made 10 apple pies and 10 apple tarts, which used 110 apples. How many apples does each dessert require?

An apple pie uses ____ apples and an apple tart requires____apples.

Answer:

  CD = 32 units

Step-by-step explanation:

The midpoint divides the segment into congruent parts:

  CM = MD

  8(x -2) = 4(5x -16)

  2(x -2) = 5x -16 . . . . . . divide by 4

  2x -4 = 5x -16 . . . . . . . eliminate parentheses

  12 = 3x . . . . . . . . . . . . . add 16-2x to both sides

  4 = x . . . . . . . . . . . . . . . divide by 3

Then the segment measures are ...

  CM = 8(x -2) = 8(4 -2) = 16

CD is twice that length. CD = 32 units.

_____

Additional comment

There are many ways to solve equations like this. The one usually recommended is to simplify it first. That generally means eliminating parentheses and collecting terms. Doing that would give ...

  8x -16 = 20x -64

Since there is a common factor of 4 on both sides, we can divide by that, making the numbers smaller and eliminating one set of parentheses.

Of course, the properties of equality require that whatever operation you perform on one side of the equal sign must also be done on the other side. So "divide by 4" means "divide by 4 on each side of the equal sign."

Answer:

  C.  y = 2x -7

Step-by-step explanation:

You can use any pair of points to find the slope. Use the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-7 -(-13))/(0 -(-3)) = 6/3 = 2

This is the coefficient of x in the slope-intercept form ...

  y = mx +b

The second point (0, -7) tells you that b = -7, so the equation is

  y = 2x -7 . . . . matches C

1 A function is represented by the following set of ordered pairs. {(-3,-13), (0, -7), (3, -1), (6,5)}

Which equation represents the function?

Therefore the answer i letter D.

#CarryOnLearning

Answer:

x = 11

Step-by-step explanation:

Perimeter of a triangle = the sum of the three sides.

In an isosceles triangle there is a base and two equal legs

Perimeter = (x)  + (5x - 5) = (5x - 5)

            111 = 11x -10

           111 + 10 = 11x

            121 = 11x

            [tex]\frac{121}{11} =\frac{11x}{11}[/tex]

               x = 11

Answer:

y=(12-x)/4

Step-by-step explanation:

subtract x on both sides, then divide by four

Answer:

Step-by-step explanation:

Slope intercept form: y = mx +b

x +4y = 12

    4y = -x + 12

Divide the entire equation by 4

[tex]\dfrac{4y}{4}=\dfrac{-x}{4}+\dfrac{12}{4}\\\\\\y =\dfrac{-1}{4}x+3[/tex]

Answer:

Step-by-step explanation:

(-16x+13)+(-20x+23)=180. I know that the sum of those two angles would equal 180, since they are supp.

x=-4

Then I would sub in -4 where I see a x

-16(-4)+13=77

-20(-4)+23=103

angle LMP = 77

angle NMP = 103

together = 180 so it's correct

The resulting temperature was 25oF.

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required expression is ~

[tex] \boxed{(2x + 1)(x - 5)}[/tex]

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

let's solve ~

2.4

When rounding, look at the next number. If the next number is 4 or less, the previous number stays the same. If it is 5 or more, the previous number rounds up by 1.

In this case, 7 is greater than 5 so you round 3 up to 4 getting 2.4

Answer:

C=66, C=25 1/7

Step-by-step explanation:

i

C=pi(d)

C=22/7*21

C=66

ii

C=pi(d)

C=22/7*16

C=25 1/7

Answer: -42

Step-by-step explanation:

If X = -7

Then:

= 5(-7) - 7

= -35 - 7

= -42

Hope it helps:)

Answer:

m < - 6.4

Step-by-step explanation:

- 4 + 10m < - 68 ( add 4 to both sides )

10m < - 64 ( divide both sides by 10 )

m < - 6.4

Answer:

m can be -9

Step-by-step explanation:

-4+10m < -68

10m < -64

m < -6.4

using this statement, m can be any value less than -6.4, such as -9.

there are only 2  possible common tangents to circles A and B can exist

ok done. Thank to me :>

Answer:

3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The answer is A, because with absoulute value, the negative number will become positive. So positive 16 is obviously a bigger number than positive 4.

Have a great day friend! :D

Answer:

y = x + 14

Step-by-step explanation:

y - 14 = x

y = x + 14

Answer:

multiplication property

The answer is Reflexive property

Answer:

8

Step-by-step explanation:

v=l*w*h so 2^3=8

Answer:

[tex]a_{14} = 10496[/tex]

Step-by-step explanation:

A geometric sequence is of the form:

[tex]ar^0, ar^1, ar^2, ar^3, \cdot \cdot \cdot[/tex]

So the given values can be represent as:

[tex]1. \quad ar^5 = \frac{41}{256}\\2. \quad ar^{10} = -164[/tex]

So you have a system of equations with two unknows [tex]a[/tex] and [tex]r[/tex]. Then you can find one unknow in terms of the other.

[tex]a = \frac{-164}{r^{10}}[/tex]

Now replace [tex]a[/tex] in the first equation

[tex]\frac{-164}{r^{10}}r^5 = \frac{41}{256}\\\frac{-164}{r^{5}} = \frac{41}{256}\\r^5 = \frac{256 \cdot -164}{41} = -\frac{41984}{41}\\r = \sqrt[5]{-\frac{41984}{41}}\\[/tex]

You don't have to worry about the negative number inside the root, because is a odd root then you can find odd negative numbers that give me the desire result.

[tex]r = -\frac{4\sqrt[5]{41} }{\sqrt[5]{41}} \\r = -4[/tex]

For find [tex]a[/tex] only replace [tex]r[/tex] in whatever of the two equations.

[tex]-a4^5 = \frac{41}{256}\\-a1024 = \frac{41}{256}\\a = -\frac{41}{262144}[/tex]

After find [tex]a[/tex] and [tex]r[/tex] use the next formula for find the [tex]14^{th}[/tex] term.

[tex]ar^{13} = x\\-\frac{41}{262144} \cdot -4^{13} = x\\\\10496 = x[/tex]

Answer: 0 bricks

Step-by-step explanation:

2,913 milligrams (mg) is only 2.913 grams.  It takes 1,000 grams to make a kilogram.  2,913 mg is only 0.002913 kg.  

answer is 0.2 using cross multiplication.

Answer:

in 2 seconds, the snail will only move 0.2 centimeters or 2 millimeters. And after 2.5, 0.25 centimeters, or 2.5 millimeters.

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The explicit formula for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 11 and d = a₂ - a₁ = 1 - 11 = - 10 , then

[tex]a_{n}[/tex] = 11 - 10(n - 1) = 11 - 10n + 10 = 21 - 10n ← explicit formula

Using the explicit formula to find a₄₀ , then

a₄₀ = 21 - 10(40) = 21 - 400 = - 379

Answer:

268,840

Step-by-step explanation:

286,000 x 6% commission= 17,160. you then subtract this commission from the sold price of 286000=$17160

Answer:

Yes, 30 would be your outlier.

Step-by-step explanation:

The rest of the numbers are closer and 30 is far away from the rest.

Answer:

Step-by-step explanation:

The easiest way to answer your question is to graph it. I've enclosed a graph for you. The answer to the  question as it is asked is y ≥ 2.

The answer to your question (which is a much more interesting question) is that there is no 0. A zero of a function must touch or intersect the x axis.

Answer:

1) 9/10 + 4/5 + 5/6 = 2 8/15

2) 14/15 + 2/9 + 1/5 = 1 16/45

==============================================

Solution:

[tex] \bold{1)} \: \tt \frac{9}{10} + \frac{4}{5} + \frac{5}{6} \\ \\⟹ \tt \frac{9}{10} + \frac{4}{5} \\ = \tt \frac{9 \times 1}{10 \times 1} + \frac{4 \times 2}{5 \times 2} = \frac{9 + 8}{10} = \frac{17}{10} \\ \\ ⟹\tt \frac{17}{10} + \frac{5}{6} \\ = \tt \frac{17 \times 3}{10 \times 3} + \frac{5 \times 5}{6 \times 5} = \frac{51 + 25}{30} = \frac{76}{30} \: or \: 2 \frac{16}{30} = 2 \frac{8}{15} \\ \\ \\ \\ \bold{2)} \tt \: \: \frac{14}{15} + \frac{2}{9} + \frac{1}{5} \\ \\⟹ \tt \frac{14 \times 3}{15 \times 3} + \frac{2 \times 5}{9 \times 5} = \frac{42 + 10}{45} = \frac{52}{45} \\ \\⟹ \tt \frac{52}{45} + \frac{1}{5} \\ = \frac{52 \times 1}{45 \times 1} + \frac{1 \times 9}{5 \times 9} = \frac{52 + 9}{45} = \frac{61}{45} = 1 \frac{16}{45} [/tex]

Answer:

66 Cents per pound

Step-by-step explanation:

1 ton = 2,000 pounds

5 tons = 10,000 pounds

10,000 pounds = $6,600

1 Pound = $0.66

Answer:

Step-by-step explanation:

Answer:

May we assume "f-'(x)" means the fiurst derivative of f(x)?  I'm not sure what f-'(x) sign means, if not that.  The answer assume this is the first derivative.  No graphs are shown, so I'll add one.

Step-by-step explanation:

f(x) = 2x + 3

f'(x) = 2

The graph would be a staight vertical line through x=2.  The slope of the line f(x) = 2x + 3 is 2

Answer:

The credit remaining on a phone card (in dollars) is a linear function of the

total calling time made with the card (in minutes), as shown in the figure below.

The remaining credit after 45 minutes of calls is $22.80 , and the remaining

credit after 64 minutes of calls is $19.76.

Step-by-step explanation:

What is the remaining credit after 73 minutes of calls?

;

Not sure what figure you are referring to, write an equation from the given values:

Assign the values as follows

x1 = 45; y1 = 22.80

x2 = 64; y2 = 19.76

:

Find the slope (m) using the formula: m = %28y2-y1%29%2F%28x2-x1%29

m = %2819.76-22.80%29%2F%2864-45%29 = %28-3.04%29%2F%2819%29

m = -.16

: