4. Meg uses 1/2 of her supply of raisins
to make trail
mix and 3/10 of her supply of raisins to make
cookies. If Meg uses 8 pounds of raisins, how many
pounds of raising are in her supply

Answers

Answer 1

Answer:

10 pounds

Step-by-step explanation:

Let x represent the amount of raisins Meg have in her supply. She uses 1/2 of her supply of raisins  to make trail  mix and 3/10 of her supply of raisins to make  cookies which gives a total of 8 pounds of raisins being used. To find the amount of raisins she has in her supply, we use the equation:

(1/2)x + (3/10)x = 8

multiply through by 20:

(1/2)x * 20 + (3/10)x * 20 = 8 * 20

10x + 6x = 160

16x = 160

Divide both sides of the equation by 16:

16x/16 = 160/16

x = 10 pounds

Therefore she have 10 pounds of raisins in her supply


Related Questions

Sides are added to a convex polygon so that the sum of its interior angle measures is increased by 540°. How many sides are added to the polygon. Explain your reasoning.​

Answers

Every side you add will increase the angle sum by 180
Eg triangle 180’. Quadrilateral 360’. Pentagon 540’

If you increased the sum by 540 degrees you must have added 3 sides

Help Please.
Classify the tringle below.
acute right
equilateral
isosceles right
isosceles scalene

Answers

Answer:

isosceles right

Step-by-step explanation:

It is an isosceles right angled triangle because according to the figure it's two sides are equal which means it is isosceles triangle and there is 90 degree symbol which denotes right angle.

An Isosceles Right Triangle is a right triangle that consists of two equal length legs. Since the two legs of the right triangle are equal in length, the corresponding angles would also be congruent. Thus, in an isosceles right triangle, two legs and the two acute angles are congruent.

Answer:

it is a right angled triangle

Step-by-step explanation:

it has a hypothenuse,opposite and adjacent

Find the zeros of the function.
Enter the solutions from least to greatest.
h(2) = -5x2 + 180
lesser x=
greater x =

Answers

Answer:

lesser x = -6

greater x  = 6

Step-by-step explanation:

-5x² + 180 = 0

5x² = 180

x² = 36

x = ±6

Answer:

x = - 6, x = 6

Step-by-step explanation:

Given

h(x) = - 5x² + 180

To find the zeros let h(x) = 0 , that is

- 5x² + 180 = 0 ( subtract 180 from both sides )

- 5x² = - 180 ( divide both sides by - 5 )

x² = 36 ( take the square root of both sides )

x = ± [tex]\sqrt{36}[/tex] = ± 6 , then

lesser x = - 6

greater x = + 6

HI I NEED HELP ASAP I GIVE BRAINLEST IF YOU GET IT RIGHT

Answers

It’s c :) I did the test just trust me

Can someone please help me with this question

Answers

Answer:

If x is the one vertically opposite to 40, then x will be 40, due to vertically opposite angles.

determine the equation of the circle graphed below.

( please help me )

Answers

Answer:

(x - 3)² + (y + 5)² = 10

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (3, - 5 ) , then

(x - 3)² + (y - (- 5) )² = r² , that is

(x - 3)² + (y + 5)² = r²

r is the distance from the centre to a point on the line

Calculate r using the distance formula

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (3, - 5) and (x₂, y₂ ) = (6, - 4)

r = [tex]\sqrt{(6-3)^2+(-4+5)^2}[/tex]

  = [tex]\sqrt{3^2+1^2}[/tex]

  = [tex]\sqrt{9+1}[/tex]

   = [tex]\sqrt{10}[/tex] ⇒ r² = ([tex]\sqrt{10}[/tex] )² = 10

(x - 3)² + (y + 5)² = 10 ← equation of circle

jalil asked for two triple-dip ice-cream cones.if each single -dip cone costs $1.69 and each extra scoop of ice cream is 00. 85 how much will he have to pay

Answers

Answer:$3.39
All you do is multiply 0.85 by two and add it to $1.69

(47.5+45.5+48.5+46.5+47+45+48+46+49)/9

:)

Answers

Answer:

47 and now I'm just typing so it lets me answer

Step-by-step explanation:

calculator

у X -7 -5 -5 -4 -3 -2 ברן 4 LO- To 2 -3 -6 -7 In this graph, the v-intercept of the line is 1. The equation of the line is v=​

Answers

Answer:

The y intercepts is -2

y = 1x-2

Step-by-step explanation:

The y intercept is where it crosses the y axis

The y intercepts is -2

We need to determine the slope, by using to points on the line

(0,-2) and (2,0)

m = (y2-y1)/(x2-x1)

   = (0 --2)/(2-0)

   = (0+2)/(2-0)

   = 2/2

  = 1

The equation for the line is

y = mx+b where m is the slope and b is the y intercept

y = 1x-2

Rina added 5/6 of a bag of soil to her garden,Her neigboir Jessa Added 1 1/8 bags of soil to her garden,How much more soil did jessa add than rina?

Answers

Jessa added 7/24more
soil than ribs

Avery invested $8,100 in an account paying an interest rate of 6 1 4 6 4 1 % compounded continuously. Khloe invested $8,100 in an account paying an interest rate of 5 5 8 5 8 5 % compounded monthly. To the nearest hundredth of a year, how much longer would it take for Khloe's money to double than for Avery's money to double

Answers

Answer:

1.26 years

Step-by-step explanation:

How many three digit numbers greater than 540 can be formed using the digits
0,2,4,5,6,8 ?

Answers

Answer:

     

Step-by-step explanation:

542, 546, 548, 560, 562, 564, 568, 580, 582, 584, 586, 602, 604, 605, 608, 620, 624, 625, 628, 640, 642, 645, 648, 650, 652, 654, 658, 680, 682, 684, 685, 802, 804, 805, 806, 820, 824, 825, 826, 840, 842, 845, 846, 850, 852, 854, 856, 860, 862, 864, 865. so 51 total combinations

PLEASE HELP! NO SPAMMING! SHOW WORK!

The ratio of the dimensions of the model to the dimensions of the Great Pyramid is about 1 to 38. The surface area of the real pyramid is about how many times the surface area of the model.
Dimensions: a pyramid with a square base.
base sides: 6m
height: 4m

Answers

Answer:   1444

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

Explanation:

Consider a square on paper that is 3 inches by 3 inches. It's area would be 3*3 = 9 square inches.

The ratio 1 to 38 means that 1 inch on paper corresponds to 38 inches in real life (assuming the "1 to 38" doesn't have any verbal units attached to it; if so, then refer to the note below). So a 3 by 3 square corresponds to a 114 by 114 square because 3*38 = 114.

The area of the second larger square is 114*114 = 12,996 square inches.

Now divide the two areas: (12,996)/(9) = 1444

It's probably not entirely obvious, but through a bit of playing around with various numbers, you should find that 38^2 = 1444. It's not a coincidence that this happens. The linear scale factor is 38 which means the area scale factor is 38^2 = 1444.

In short, the larger square in real life has area that is 1444 times that of its scaled down counterpart.

Or put another way:

large area = 1444*(small area)

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

Side note: This all assumes that the numbers in "1 to 38" are both the same unit. If we had a mixed ratio of units like "1 inch to 38 feet", then the answer would be different. You would need to convert from feet to inches, and then follow the steps above to get a different answer.

Henry sees a train with 8 cars. Each car has 5 windows on the side that henry sees. Which number sentence can be used to find how many windows henry sees

Answers

Answer:

8 x 5 x 2

Step-by-step explanation:

total number of windows seen = total number of cars x total number of windows a car has

total number of windows a car has = number of windows a car has x total number of sides  = 5 x 2

total number of windows seen = 8 x 5 x 2

Which equations can pair with y = 3x – 2 to create a consistent and independent system? x = 3y – 2 y = –3x – 2 y = 3x + 2 6x – 2y = 4 3y – x = –2

Answers

Answer:

[tex](a)\ x = 3y - 2[/tex]

[tex](b)\ y = -3x - 2[/tex]

[tex](e)\ 3y - x = -2[/tex]

Step-by-step explanation:

Given

[tex]y =3x -2[/tex]

Required

Equations that can create consistent and independent systems

For a pair of equation to have consistent and independent systems, the equations must have different slopes.

An equation of the form [tex]y = mx + c[/tex] has m has its slope.

In [tex]y =3x -2[/tex]

[tex]m = 3[/tex] --- slope

Considering the options

[tex](a)\ x = 3y - 2[/tex]

Make y the subject

[tex]x = 3y - 2[/tex]

[tex]3y = x+2[/tex]

Divide by 3

[tex]y = \frac{1}{3}x+\frac{2}{3}[/tex]

The slope is:

[tex]m_1 = \frac{1}{3}[/tex]

Hence, (a) can make a consistent and independent system with [tex]y =3x -2[/tex]

[tex](b)\ y = -3x - 2[/tex]

The slope is:

[tex]m= -3[/tex]

Hence, (b) can make a consistent and independent system with [tex]y =3x -2[/tex]

[tex](c)\ y = 3x + 2[/tex]

The slope is:

[tex]m=3[/tex]

Hence, (c) cannot make a consistent and independent system with [tex]y =3x -2[/tex]

[tex](d)\ 6x - 2y = 4[/tex]

Make y the subject

[tex]2y = 6x -4[/tex]

Divide by 2

[tex]y = 3x -2[/tex]

The slope is

[tex]m =3[/tex]

Hence, (d) cannot make a consistent and independent system with [tex]y =3x -2[/tex]

[tex](e)\ 3y - x = -2[/tex]

Make y the subject

[tex]3y = x -2[/tex]

Divide by 3

[tex]y = \frac{1}{3}x -\frac{2}{3}[/tex]

The slope is:

[tex]m = \frac{1}{3}[/tex]

Hence, (e) can make a consistent and independent system with [tex]y =3x -2[/tex]

Write an equation of the line that passes through the point (4,5) and has a slope of -2.

Answers

Answer:

y = - 2x + 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute (4, 5) into the partial equation

5 = - 8 + c ⇒ c = 5 + 8 = 13

y = - 2x + 13 ← equation of line

Answer:

Step-by-step explanation:

slope=-2

now using slope intercet formof equation of straight line,we get

y=mx+b

or, y=-2x + b

y + 2x =b

2x + y=b ......................   eq(i)

since the line passes through the point (4,5) it satisfies the equation (i)

y=5 and x=4 so,

equation is 2x +y =b

2*4 + 5=b

8+5=b

13=b

substituting the value of b in eq(i)

2x + y=b

2x + y=13

2x + y-13=0  is the required equation of the line.

Which is equal to 6-45?

Answers

Answer:

-39

Step-by-step explanation:

Please give me brainliest.

Answer:

-39

Step-by-step explanation:

6-45

A buyer owes a seller $45 and has gone to pay $6. The remaining dollars which the buyer must give the seller is $39.

I need help with number 1 and 2

Answers

Answer:

1. 452.39

2. 615.75

Step-by-step explanation:

area of a circle = A=πr2

(b) Simplify 4q2 – 3q2

Hellllllppppppppppp

Plsssss

Answers

Answer:

q^2

Step-by-step explanation:

Answer:

q^2

Step-by-step explanation:

4q^2 – 3q^2

Factor out the q^2

q^2 ( 4-3)

q^2(1)

1q^2

q^2

Which of the following rational functions is graphed below?

Answers

Answer:

"C" has to be the answer...

there is a vertical asymptote at -5

thus you need a denominator that is zero at -5

plug in -5 into the equations only "C" ends up with a zero in the denominator at that point

Step-by-step explanation:

A 5 kg stone falls from height of 100m and penetrate 2m in a layer of sand. The force applied by ground is

Answers

Answer:

49N

Step-by-step explanation:

Below is the calculation for the force applied:

It is given that the mass of stone is 5 kg and it falls from the height of 100 meters. Therefore, a force can be determined by multiplying the mass will a constant value of "a".

Force = Mass x a

Force = 5 x 9.8

Force = 49 N

Since the action-reaction are equal and opposite so the each will apply the same force.

I know how do it but the fraction is confusing me please help will give branliest

Answers

Replace x and y in the equation with what they tell you x and y equal.

2(14) / 13 - 9(1/3)

Now simplify:

2 x 14 = 28

9 x 1/3 = 3

You now have:

28/13-3

Simplify again to het 28/10 this can be reduced to 14/5

Use the Substitution method to solve the system of equations

3x+4y=10

y=x-1

Answers

Answer: 2

Step-by-step explanation:

3x+4y=10

3x+4(x-1)=10

3x+4x-4=10

7x-4=10

Add 4 to both sides

7x=14

x=2

Answer:(2,1)

Step-by-step explanation:ap3x beans

HELP PLEASE HELP MEEEE PLEASEEE

Answers

Answer: a. x=4 b. x=17.5

Step-by-step explanation:

a. 5x/2+1=11

subtract 1 from both sides : 5x/2=10

multiply both sides by 2 : 5x=20

divide both sides by 4 : x=4

b. 2x/7-3=2

add 3 to both sides : 2x/7=5

multiply both sides by 7 : 2x=35

divide both sides by 2 : x=17.5

B. jensjsynsnsnehdjejd

Solve for r.
Enter the solutions from least to greatest.
-2x2 – 9 = -107
lesser I =
greater x =

Answers

Step-by-step explanation:

[tex] - 2 {x}^{2} - 9 = - 107 \\ - {2x}^{2} = - 98 \\ {x}^{2} = 49 \\ x = \sqrt{49} \\ x = 7 \\ { \boxed{lesser : \: - 7}} \\ { \boxed{greater : \: + 7}}[/tex]

a circular tabletop has a diameter of 2.1 m. what is its area​

Answers

The answer is A≈3.46m²

Evaluate the exponential expression.
3•42

Answers

Answer:

48

Step-by-step explanation:

Trust me

The area of a rectangular wall of a barn is 135 square feet. It's length is 6 feet longer than a width. Find the length and width of the wall of the barn

Answers

Answer: [tex]15\ ft,6\ ft[/tex]

Step-by-step explanation:

Given

The area of a rectangular wall of a barn is [tex]135\ ft^2[/tex]

Suppose the width of the wall is [tex]x[/tex]

So, the length of the wall is [tex]6+x[/tex]

Area can be written as the product of length and width

[tex]\Rightarrow (6+x)x=135\\\Rightarrow 6x+x^2=135\\\Rightarrow x^2+6x-135=0\\\Rightarrow x=\dfrac{-6\pm \sqrt{6^2-4(1)(-135)}}{2(1)}\\\\\Rightarrow x=\dfrac{-6\pm 24}{2}\\\\\Rightarrow x=-15,9[/tex]

neglecting the negative value, width of the wall is [tex]9\ ft[/tex]

So, the length of the wall is [tex]9+6=15\ ft[/tex]

analee wants to buy a flute that costs $240 she has saved $20 each week for 3 weeks how many more weeks does analee need to save money if she continues to save $20 each week

Answers

Answer:

9

Step-by-step explanation:

240/20=12

That mean's takes 12 weeks in total.

But, 3 weeks was already done.

So, you do 12 -3.

Which equals 9.

So, the answer is 9.

Please give me brainiest!!!

PLEASE HELPP
64, 16, 4, 1 converging or diverging

Answers

Answer:

The series 64, 16, 4, 1 is convergent.

Step-by-step explanation:

Let be [tex]\{x_{1}, x_{2},...,x_{n}\}[/tex] the set of values of the series. A series is convergent if and only if:

[tex]\frac{x_{i + 1}}{x_{i}} < 1, \, \forall\,i\in \mathbb{N}[/tex] (1)

If we know that [tex]x_{1} = 64[/tex], [tex]x_{2} = 16[/tex], [tex]x_{3} = 4[/tex] and [tex]x_{4} = 1[/tex], then the convergence ratio of each pair of consecutive values are, respectively:

[tex]\frac{x_{2}}{x_{1}} = \frac{1}{4}[/tex], [tex]\frac{x_{3}}{x_{2}} = \frac{1}{4}[/tex], [tex]\frac{x_{4}}{x_{3}} = \frac{1}{4}[/tex]

Hence, the series 64, 16, 4, 1 is convergent.

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