Ms. Carey is planning to host a neighborhood picnic. To make sure she had enough ingredients, she was making a table of
possible combinations of dried fruit to peanuts for her terrific trail mix. The ratio she used was 3 to 5. The table below shows
the original recipe's ratio of dried fruit to peanuts.
Dried Fruit
(oz)
9
Peanuts
(oz)
45
27
80
Which of the following accurately fills in the missing information to identify equivalent ratios for Ms. Carey?
A 30 ounces of peanuts and 42 ounces of dried fruit
B. 48 ounces of peanuts and 15 ounces of dried fruit C . 3 ounces of peanuts and 54 ounces of dried fruit. D. 15 ounces of peanuts and 48 ounces of dried fruit

Answer:

1 2/3

Step-by-step explanation:

5 1/2 = 11/2 x 3 = 33/6

3 1/3 = 10/3 x 2 = 20/6

30 - 20 = 10/6 = 1 4/6 = 1 2/3

Answer: 2 1/6

Step-by-step explanation:

5 1/2 - 3 1/3

=

5 3/6 - 3 2/6

=

5 - 3 = 2

3/6 - 2/6 = 1/6

= 2 1/6

Step-by-step explanation:

The perpendicular line *always* has a slope of the negative reciprocal. Your given line has a slope of -5, so the perpendicular slope is -1/(-5) = 1/5.

Use the point-slope form of a general line to find the equation.

(y - y_1) = m * (x - x_1)

y - 7 = (1/5) * (x - 15)

Answer:

12

Step-by-step explanation:

7*3=21 so 4*3=12

Answer:

option 3: 2x²+22xy

Step-by-step explanation:

perimeter of an rectangle = 2(l+b)

= 2{(3x²+5xy)+(6xy–2x²)

= 2(x² +11xy)

= 2x²+22xy

Answer:

(C) 20 Hours

Step-by-step explanation:

Answer:

242

Step-by-step explanation:

   242

4/968   how many times does 4 go into 9?  2 times put the 2 above the 9

 8            4 times 2 equals 8 so you put the 8 below the 9 and subtract

  1 6                   9 minus 8 equals 1 than you drop the 6

  1 6          how many times does 4 go into 16? 4 times. put the  4 above the 6

    0 8        than multiply 4 *4 =16 than 16-16=0 drop the 8

       8          4 goes into 8, 2 times  the 2 goes above the 8. 4*2=8

        0            8-8=0

Answer:

f(x) = 2x + 10

Step-by-step explanation:

The amount of charms represents x, or the variable. The price of the charm is represented by 2, or the slope. The necklace is the constant, represented by 10.

Answer:

I’m srry I don’t know about question 2 but here’s the answer to Question 4

When the two angles are supplementary, m<BAC = m<CAD = 90° and m<DAB = 180°

Step-by-step explanation:

Answer from Plato

Answer:

No. ∠BAC and ∠CAD remain congruent, and m∠DAB is still the sum of m∠BAC and m∠CAD.

Step-by-step explanation:

This is the answer for question 2

Answer:

D

Step-by-step explanation:

(2*6)^4=20736

2^4*6^4 is the same as the expression which is equal to 20736

9514 1404 393

Answer:

  30 miles

Step-by-step explanation:

The Law of Sines is used for this purpose. The angle at R is the difference ...

  180° -(23° +34°) = 123°

Then the length r satisfies ...

  ST/sin(R) = RT/sin(S)

  ST/sin(123°) = (20 mi)/sin(34°)

  ST = (20 mi)sin(123°)/sin(34°) ≈ 30.00 mi

The length of r or ST is 30 miles.

Answer:

Rotate it 90°

Step-by-step explanation:

First graph D(-3, -10)

And a rotation of 90° clockwise is when you move the shape to the left 90°.

And that’s it

Answer:

I have a set of rules that should help you:

When rotating a point or shape 90 degrees counterclockwise switch the x and y values of that point and then change the sign (negative or positive) of the new x value. When rotating 90 degrees clockwise switch the x and y values of that point and then change the sign of the new y value. Finally when rotating 180 degrees just change the sign of both points to get your new value. Keep in mind that these rules only work when rotating around the origin which is (0,0)

IN this case, your point is -3, -10 and since we rotate it 90 degrees clockwise we just switch the x and y so it is now -10, -3 and then change the sign of the y which makes your final answer  -10, 3

-Hope this helps

Step-by-step explanation:

Use the quadratic formula where -15 = a, 7 = b, 23 = c:  [tex]\frac{-b +- \sqrt{b^2 - 4ac}}{2a}[/tex]

Plug in the values: [tex]\frac{-7 +- \sqrt{7^2 - 4(-15)(23)}}{2(-15)}[/tex]

And get: [tex]\frac{-7 +- \sqrt{49 +1380}}{-30}[/tex]

Which simplifies to: [tex]\frac{-7 +- \sqrt{1429}}{-30} = (-7 + 37.8021163)/-30 OR (-7 - 37.8021163)/-30 = 30.8021163/30 OR -44.8021163/30[/tex]

Those are approximately 1 and -1.5

Answer:

10,560 yards

Step-by-step explanation:

5280 plus 5280 equals 10,560

Answer:

The answer is -2

Step-by-step explanation:

When you subtract a negative with a negative, you change the problem to an addition by adding the negative number to a positive. -8--6 would look like -8+6.

Answer:

.....................

Step-by-step explanation:

Answer:

10:13.22

Step-by-step explanation:

If only half the machines are working at the same rate as before, the order will be finished in 64 hours.

When the four big fridges were working simultaneously, they were able to finish the order in 32 hours.

With only half of these fridges, they will only be half as fast. This means that they will complete the order in double the time:

= 32 x 2

= 64 hours

In conclusion, the order will be completed in 64 hours.

Find out more at https://brainly.com/question/19465480.

Answer: 24kg

Step-by-step explanation:

Answer:

4.9

Step-by-step explanation:

-×-=+

; 3.4 + 1.5=

4.9

Answer:

<5 = 105 degrees

Step-by-step explanation:

From the description given, since line l is parallel to m then <4 is alternate to <5 and two alternate angles are equal, if thst is the case

<4 = <5 (alternate angle)

Since <4 = 105 degrees, hence m<5 = 105 degrees

Answer:

the answer 117

Step-by-step explanation:

The 234 divided by 2 is 117.

To calculate 234 divided by 2, we perform the division operation step by step.

Step 1: Divide 234 by 2.

234 ÷ 2 = 117

The result of 234 divided by 2 is 117. When you divide 234 by 2, you are essentially dividing 234 into two equal parts. Each part contains 117. This can be confirmed by performing the calculation:

234 ÷ 2 = 117

Therefore, 234 divided by 2 is 117. Division is the inverse operation of multiplication, and in this case, we find that 234 is evenly divisible by 2, resulting in a whole number quotient of 117.

To know more about divided:

https://brainly.com/question/15381501

#SPJ6

Answer:

the answer is 3.9 km/h southeast

Answer:

85

Step-by-step explanation:

The sum of the measures of the interior angles of a triangle is 180 deg.

x + 52 + 43 = 180

x + 95 = 180

x = 85

Answer: 85

The angles in a triangle add up to 180 degrees

180 - 52 - 43 = 85

x = 85 degrees

Answer:

The perimeter of a triangle is the sum of all its three sides.

So,

0.75+0.75+0.75 = 2.25inches

The increase rate per year is 0.

Calculus is a branch οf mathematics that deals with the study οf rates οf change and hοw things change οver time. It has twο main branches, differential calculus which studies instantaneοus rates οf change, and integral calculus which deals with accumulatiοn and area.

here given equatiοn fοr the value οf the cοmic bοοk is:

V(y) = 0.20y + 1.50

where y is the number οf years since it was released.

Tο find the rate οf increase per year fοr the value οf the cοmic bοοk, we can take the derivative οf V(y) with respect tο y:

dV/dy = 0.20

This means that the value οf the cοmic bοοk increases by 0.20 dοllars per year.

Tο find the rate οf increase per year fοr the initial value οf the cοmic bοοk, we need tο lοοk at the y-intercept οf the equatiοn fοr V(y). The y-intercept is the value οf V when y is 0, which is:

V(0) = 0.20(0) + 1.50 = 1.50

Therefοre, the initial value οf the cοmic bοοk is $1.50.

Tο find the rate οf increase per year fοr the initial value, we can calculate the derivative οf the initial value with respect tο y, which is:

d/dy (1.50) = 0

This means that the initial value οf the cοmic bοοk dοes nοt change with respect tο time, sο its rate οf increase per year is 0.

To learn more about calculus, from the given link.

https://brainly.com/question/6581270

#SPJ1

Answer:

Y=112  x=45

Step-by-step explanation:

y+68=180

so 180-68=112

y=112

y+(4x-2)+30=180

112+(4x-2)+30=180

140+4x=180

-140 to both sides

4x=180

divide by 4 to both sides

x=45

Answer:

hope this helps

Answer:

the answer is D (27 + 4.5 ) + 1.5

Hope that helps

Answer:

Amswer is A

Step-by-step explanation:

Answer:

7.5 × 10²

Step-by-step explanation: