if marvin bought 490 soda cans and candy bars, where the ratio is 3:4, respectively, how many of each did marvin buy?

Answers

Answer 1

9514 1404 393

Answer:

210 soda cans280 candy bars

Step-by-step explanation:

The 3+4 = 7 ratio units represent the total of 490 snacks, so each ratio unit represents 490/7 = 70 snacks.

The number of soda cans is 3·70 = 210.

The number of candy bars is 4·70 = 280.

Marvin bought 210 soda cans and 280 candy bars.


Related Questions

Which term describes the ability to repay debt?
A
capacity
B.
creditworthiness
c. capability

Answers

Answer:

B. Creditworthiness

Step-by-step explanation:

❣️(◍•Jess bregoli•◍)❣️

#keep learning!!

Answer:

B

Step-by-step explanation:

How much would the combined production of pineapples increase for the two islands due to trade? How much would the combined production of pearls increase?

Answers

Step-by-step explanation:

find the coordinate of the foot of the perpendicular from(4,-2) to the line 2x-3y-4=0

the graph below shows how money has been budgeted for a certain company




The company has budgeted approximately 25% of its money on which of the following










Answers

Answer:

Shelter from a tornado should be sought:

in any of the above

in a room in the center of the first floor

in a basement

under a staircase in the center of the house

Shelter from a tornado should be sought:

in any of the above

in a room in the center of the first floor

in a basement

under a staircase in the center of the house

Polygon ABCD is a rectangle. What is its area? Round your answer to the nearest tenth.
(2,5)
(-4,3)
(3, 2)
(-3,0)

Answers

Answer: The correct option is A.

Step-by-step explanation:

To calculate the distance between the points, we use the formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

where,

d= distance

[tex]x_2\text{ and }x_1[/tex] are the coordinates of the points on x-axis

[tex]y_2\text{ and }y_1[/tex] are the coordinates of the points on y-axis

For the given points:

A(-4,3), B(2,5), C(3,2) and D(-3,0)

Calculating the distance CD:

[tex]x_2=3\\x_1=-3\\y_2=2\\y_1=0[/tex]

Putting values in above equation, we get:

[tex]CD=\sqrt{(3-(-3))^2+(2-0)^2}\\\\d=\sqrt{36+4}=6.32units[/tex]

Calculating the distance AD:

[tex]x_2=-4\\x_1=-3\\y_2=3\\y_1=0[/tex]

Putting values in above equation, we get:

[tex]AD=\sqrt{(-4-(-3))^2+(-3-0)^2}\\\\d=\sqrt{1+9}=3.16units[/tex]

To calculate the area of a reactangle, we use the equation:

[tex]Area=l\times b[/tex]         ....(1)

where,

l = length of the rectangle = CD = 6.32 units

b = breadth of the rectangle = AD = 3.16 units

Putting values in equation 1, we get:

[tex]Area=6.32\times 3.16\\\\Area=20.0 \text{ square units}[/tex]

Hence, the correct option is A.

Answer:

The answer is A.

Step-by-step explanation:

I got it correct.

2
Question 10 Multiple Choice Worth 5 points)
(06 02 MC)
Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations?
1
5x + 2y = 2
3x - 3y = 18
The slopes are the same, and the y.Intercepts are the same
The slopes are the same, and the y-intercepts are different
The slopes are different, and the y-intercepts are the same
Previous Question
Question 1 (Answered)
ON
Type here to search
O
BE
C
84'F Rain coming
AG

Answers

Answer:

the slopes are different, and the y-intercepts are also different

Step-by-step explanation:

We can rewrite the equations given in slope-intercept to easily determine the slope (m) and the y-intercept (b). Slope-intercept equation is y = mx + b

Let's rewrite each equation:

✔️5x + 2y = 2

Subtract 5x from each side

2y = -5x + 2

Divide both sides by 2

y = -5x/2 + 2/2

y = -⁵/2(x) + 1

The slope (m) = -⁵/2

y-intercept (b) = 1

✔️3x - 3y = 18

Subtract 3x from each side

-3y = -3x + 18

Divide both sides by -3

y = -3x/-3 + 18/-3

y = x - 6

Slope (m) = 1

y-intercept (b) = -6

✅Therefore, the slopes are different and the y-intercepts are also different

PLEASE HELP ME WILL MARK BRAINLIEST

Answers

Answer:

C

Step-by-step explanation:

The sum of the measures of the three angles of a triangle is 180 degrees.

A

50 + 40 + 90 = 180    good

B

55 + 35 + 90 = 180     good

C

45 + 40 + 90 = 175    not good

Answer: C

Factor the trinomial, or state that the trinomial is prime.
y2-9y+14

Please help

Answers

Answer:   (y-2)(y-7)

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

Explanation:

To factor this, we need to find two numbers that

A) multiply to 14  (last term)B) add to -9 (middle coefficient)

Through trial and error, you would find that the two numbers are -2 and -7

-2*(-7) = 14

-2 + (-7) = -9

So that's why the given trinomial factors to (y-2)(y-7)

You can use the FOIL rule to go from (y-2)(y-7) back to y^2-9y+14 again.

PYTHAGORAS
work out the side of b.
give your answers to one decimal place

Answers

Answer:

12 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg b is another leg c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

a = 12 cm

c = 17 cm

Step 2: Solve for b

Substitute in variables [Pythagorean Theorem]:                                            12² + b² = 17²Evaluate exponents:                                                                                         144 + b² = 289[Subtraction Property of Equality] Subtract 144 on both sides:                     b² = 145[Equality Property] Square root both sides:                                                      b = √145[√Radical] Evaluate:                                                                                         b = 12.0416Round:                                                                                                               b ≈ 12.0

6a + 2b = 30
6a + 9b = 51
What are a and b

Answers

Answer:

a = 18

b = 3

hope it helps

have a nice day

each runner in an 8 mile relay races runs 4/5 of a mile. How many runners are on the relay team?

Answers

Divide total distance of the race by the length each runner runs:

8 miles / 4/5

When dividing by a fraction flip the fraction over and multiply:

8 miles x 5/4 = (8x5)/4 = 40/4 = 10

There are 10 runners

Answer:

10 runners

Step-by-step explanation:

Is 8 Miles which equals to 40/5 miles. 40/5 miles divided by 4/5 = 10 so 10 runners.

Pls solve this question:
it is about Square and square roots
if u answer, then I will mark you as brilliant
[tex]\sqrt{2.3} multiplied \sqrt{2.3[/tex]

Answers

Answer:

2.3

Step-by-step explanation:

if you mean √2.3×√2.3 then the answer is 2.3 because √2.3×√2.3= (√2.3)² and that square cuts the square root and what remains is 2.3 which is the answer.

a/c + b/c = a+b/c The answer is 2.3

Question 6 of 40
Which recursive formula can be used to represent the sequence
2, 6, 10, 14, 18, ... ?
& - 2
O A.
&, - 87-704
ay - 2
O B.
an - 2n-1-4
C. &-0
an - 2n-1 + 4
D.
ay - 2
an - 8-1 + 4
Gays

Answers

Step-by-step explanation:

I cannot really identify and read the provided answer options.

the solution to the sequence 2, 6, 10, 14, 18, ... is

an = 4×(n-1) + 2

recursive that is

a1 = 2

an = an-1 + 4

please pick the right option in your original problem definition that fits to this solution.

The recursive formula that represents the given sequence is:

[tex]a_n = a_{n-1} + 4[/tex]

What is an arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term is obtained by adding a fixed constant value to the previous term.

This fixed value is called the common difference, and it is the same for all terms in the sequence.

We have,

The given sequence has a common difference of 4 between its consecutive terms.

To represent this sequence using a recursive formula, we can start with the first term and use the common difference of 4 to find each subsequent term.

Let's assume that the first term of the sequence is a1. Then, we can represent the second term [tex]a_2[/tex] as:

[tex]a_2 = a_1 + 4[/tex]

Similarly, we can represent the third term (a3) as:

[tex]a_3 = a_2 + 4[/tex]

Substituting the value of a2 from the above equation, we get:

[tex]a_3 = (a_1 + 4) + 4 = a_1 + 8[/tex]

We can continue this pattern to find the recursive formula for the nth term of the sequence:

[tex]a_n = a_{n-1} + 4[/tex]

where [tex]a_1[/tex]= 2

Thus,

The recursive formula for the given sequence is:

[tex]a_n = a_{n-1} + 4[/tex]

Learn more about arithmetic sequence here:

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Borrows £10,000 over 5 years simple interest rate of 15%

Answers

Answer:

[tex]{ \tt{simple \: interest = p \times r \times t}} \\ = 10000 \times 15\% \times 5 \\ = £7500[/tex]

-1/13-10/39 in lowest terms

Answers

Step-by-step explanation:

the answer is already as simplified as it could be

Which function has the domain x greater-than-or-equal-to negative 11?

Answers

Given:

Consider the below figure attached with this question.

To find:

The function that has the domain [tex]x\geq -11[/tex].

Solution:

We know that, a radical function is defined for only non negative radicand.

In option A, the function is defined if

[tex]x+11\geq 0[/tex]

[tex]x\geq -11[/tex]

The domain of this function is [tex]x\geq -11[/tex]. So, option A is correct.

In option B, the function is defined if

[tex]x-11\geq 0[/tex]

[tex]x\geq 11[/tex]

The domain of this function is [tex]x\geq 11[/tex]. So, option B is incorrect.

In option C and D, the function is defined if

[tex]x+5\geq 0[/tex]

[tex]x\geq -5[/tex]

The domains of these function are [tex]x\geq -5[/tex]. So, options C and D are incorrect.

Hence, option A is correct.

Answer:

A

Step-by-step explanation:

GIVING OUT BRAINLIEST PLEASE HELP ME!!

Answers

Answer: B (0,0) r=4

Step-by-step explanation:

ASAP PLEASE!!The table and the relative frequency histogram show the distribution of the number of tails and three coins are tossed. Find the probability P(T=3). write your answer as a fraction.

Answers

Given:

The table and the relative frequency histogram show the distribution of the number of tails and three coins are tossed.

To find:

The probability [tex]P(T=3)[/tex].

Solution:

In the given table T represents the number of tails.

From the given table it is clear that the value of probability is [tex]\dfrac{1}{8}[/tex] and [tex]T=3[/tex]. So,

[tex]P(T=3)=\dfrac{1}{8}[/tex]

Therefore, the probability [tex]P(T=3)[/tex] is equal to [tex]\dfrac{1}{8}[/tex].

what is the midpoint of the segment shown below? (3,5) (2,2)

Answers

(X, Y) = (5/2, 7/2)

Answer:

(5/2, 7/2)

Step-by-step explanation:

Use the midpoint formula to solve for the midpoint:

[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\\\(\frac{3+2}{2},\frac{5+2}{2})\\\\(\frac{5}{2},\frac{7}{2})[/tex]

khalil has a circular cake that he plans to share equally betweeb himself and 5 friends. if tge cake is 8 inched in a diameter, what will be the length of the arc of each slice of cake.

Answers

Answer:

4.2

Step-by-step explanation:

It would be 8/2 which gets 4 and put the .2 4.2

Length of the arc of each slice of cake is equals to 5.024inches.

What is length of the arc?

" Length of the arc is defined as the distance between any two points as a part  of the circumference of the circle."

Formula used

Length of the arc =  radius × central angle of the arc

l = r × θ

According to the question,

Number of friends = 5

Diameter of the cake = 8inches

Shape of the cake is circular.

Therefore angle formed = 360°

Angle for each piece of cake = [tex]\frac{360}{5}[/tex]

                                                 = 72°

Radius of the cake = [tex]\frac{diameter }{2}[/tex]

                               = [tex]\frac{8}{2}[/tex]

                               = 4 inches

Substitute the value in the formula to get the length of the arc we get,

L = 4 × 72 × [tex]\frac{\pi }{180}[/tex]

  = 5.024inches

Hence, length of the arc of each slice of cake is equals to 5.024inches.

Learn more about length of the arc here

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A square has an area of 81 cm2.
Find the perimeter of the square

Answers

Area = side²

=> 81cm² = side ²

=> √81cm² = side

=> 9cm = side

Perimeter = 4 × side

=> Perimeter = 4 × 9cm

=> Perimeter = 36cm

Step-by-step explanation:

[tex]here \: is \: your \: solution : - \\ \\ Given :- \\ \\ = > area \: of \: square \: = 81cm {}^{2} \\ \\ = > we \: need \: to \: find \: perimeter \\ \\ for \: this \: we \: have \: to \: find \: its \: side. \\ \\ = > area \: of \: square \: = side { }^{2} \\ \\ = > side {}^{2} = 81cm {}^{2} \\ \\ = > \: side \: = \sqrt{} 81cm \\ \\ = > side = \sqrt{9 \times 9} \\ \\ = > side \: = 9 \: cm \\ \\ now \: we \: can \: find \: (perimeter) \\ \\ = > perimeter \: of \: square \: = 4 \times side \\ \\ = > perimeter = (4 \times 9 )cm \\ \\ = > perimeter \: of \: square = 36cm \\ \\ HOPE \: IT \: HELPS \: (. ❛ ᴗ ❛.)[/tex]

Over what interval is the function decreasing? f(x)=(3−x)^2 + 5

Answers

Answer: It decreases on the interval   (-infinity, 3)

This is the same as saying -infinity < x < 3, or simply x < 3

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

Work Shown:

f(x) = (3−x)^2 + 5

f(x) = (-x+3)^2 + 5

f(x) = (-1(x-3))^2 + 5

f(x) = (-1)^2*(x-3)^2 + 5

f(x) = 1(x-3)^2 + 5

The last equation is in the form y = a(x-h)^2 + k

We have a = 1, h = 3 and k = 5

The vertex is (h,k) = (3,5)

Since 'a' is positive, this means the function decreases on the left and increases on the right (forming a parabola that opens upward). See below.

So the function is decreasing when x < 3, which represents everything to the left of the vertex.

We can expand that out to -infinity < x < 3 which converts to the interval notation (-infinity, 3)

Check my work
Concerns about climate change and CO2 reduction have initiated the
commercial production of blends of biodiesel (e.g., from renewable sources)
and petrodiesel (from fossil fuel). Random samples of 48 blended fuels are
tested in a lab to ascertain the bio/total carbon ratio.
(a) If the true mean is.9200 with a standard deviation of 0.0050, within what
interval will 99 percent of the sample means fall? (Round your answers to 4
decimal places.)
The interval is from
to
(

Answers

The answer is the answer 36873222 b yes

How to Factor 4n^3-49n

Answers

Answer:

n (2n-7) (2n+7)

Step-by-step explanation:

Fyi you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps and it is free.

petrol and engine oil has to mix in the ratio 5 : 2 for a certain motorcycle how much engine oil is needed to mix with 10 litres of petrol ​

Answers

Answer:

Step-by-step explanation:

Set this up as a ratio of proportions of petrol : oil

[tex]\frac{p}{o}[/tex] and if the ratio of the mix has to be 5p to 2 oil then:

[tex]\frac{p}{o}:\frac{5}{2}[/tex]  We need to find how much oil, x, is needed to mix with 10 liters of petrol. Completing the proportion with that ratio gives us the problem in its entirety:

[tex]\frac{p}{o}:\frac{5}{2}=\frac{10}{x}[/tex] and cross multiply

5x = 20 so

x = 4 liters of oil are needed to mix with 10 liters of petrol.

i need the answer fast please​

Answers

Substitute each value of x in y=2x-3

so,

first box (-2)
y= 2(-2)-3
y= -4-3
y= -7

second box (0)
y= 2(0)-3
y= 0-3
y= -3

third box (3)
y=2(3)-3
y=6-3
y=3

Step-by-step explanation:

everything can be found in the picture

The half-life of radium-226 is 1620 yr. Given a sample of 1 g of radium-226, the quantity left Q(t) (in g) after t years is given by:

Q(t)= 1/2^t/1620

Required:
a. Convert this to an exponential function using base e.
b. Verify that the original function and the result from part (a) yield the same result for Q(0), Q(1620), and Q(3240).

Answers

Answer:

(a)[tex]e^{-0.000428 t}[/tex]

Step-by-step explanation:

We are given that

Half life of radium-226=1620 yr

The quantity left Q(t) after t years is given by

[tex]Q(t)=(\frac{1}{2})^{\frac{t}{1620}}[/tex]

a. We have to convert the given function into an exponential function using base e.

[tex]Q(t)=(\frac{1}{2})^{\frac{t}{1620}}[/tex]

=[tex]((\frac{1}{2})^t)^{\frac{1}{1620}[/tex]

=[tex]e^{ln(1/2) t/1620}[/tex]

[tex]=e^({\frac{ln(1/2)}{1620}t)[/tex]

=[tex]e^{-0.000428 t}[/tex]

(b)

[tex]Q(0)=e^{-0.000428 \times 0}[/tex]

=1

From original function

Q(0)=1

[tex]Q(1620)=(\frac{1}{2})^{\frac{t}{1620}}[/tex]

[tex]Q(1620)=\frac{1}{2}=0.5[/tex]

From exponential function

[tex]Q(1620)=e^{-0.000428 \times 1620}[/tex]

[tex]=0.499\approx 0.5[/tex]

[tex]Q(3240)=(\frac{1}{2})^{\frac{3240}{1620})=0.25[/tex]

[tex]Q(3240)=e^{-0.000428 \times 3240}[/tex]

Q(3240)=0.249=[tex]\approx 0.25[/tex]

Hence, verified.

the sum of 3 times a number and 7 is 8 use the variable of w for the unknown number

Answers

Answer:

Step-by-step explanation:

I solved it in the picture above

Answer:

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

Step-by-step explanation:

The equation representing the situation is

3w + 7 = 8 ( subtract 7 from both sides )

w = 1 ( divide both sides by 3 )

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

Solve each equation by graphing. Round to the nearest tenth.

X^2-6x= -8


A) 4, 2

B) −4, 2

C) −2, 4

D) −2, −4

Answers

Answer:

A

Step-by-step explanation:

That is the procedure above

Find the slope of the line containing the given pair of points. If the slope is undefined, state so.

(-1,-7) and (-6,1)

Answers

Answer:

m = [tex]-\frac{8}{5}[/tex]

Step-by-step explanation:

m = slope

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

m = [tex]\frac{1--7}{-6--1}[/tex]

m = [tex]\frac{8}{-5}[/tex]

m = [tex]-\frac{8}{5}[/tex]

Could you help me answer 2a, b, c and d? See the image below.

Answers

Answer:

2a. 1/4

2b. 2/8

2c. yes, 1/4 = 2/8 because

2 / 8 = 2 ÷ 2 / 8 ÷ 2 = 1 / 4.

2d. the total number of parts doubled in the denominator, the number of parts represented in the numerator doubled as well.

The operations of division and multiplication are made proportionally to the numerator and denominator.

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