Mathematics College

The following question has two parts. First, answer part A. Then, answer part B.
Isabella's mother has a garden with a total area of
10/23 square feet. She plans her planting season like this:
1/4 of the garden will be used for planting peas. And,
3/4 of the garden will be used for planting corn.

Answers

Answer 1
Peas = 5/46 square feet. Corn = 15/46 square feet.
If you are looking for the total area for each portion multiply the original fraction by the fraction of each section.
[tex] \frac{10}{23} * \frac{1}{4} = \frac{10}{92} = \frac{5}{46} [/tex]

[tex] \frac{10}{23} * \frac{3}{4} = \frac{30}{92} = \frac{15}{46} [/tex]

Related Questions

Divide 180° in a ratio of 4:5:9

Answers

in plain and short, we'll simply divide 180 by (4+5+9), and give 4 pieces of those to the ratio of 4, 5 to the ratio of 5 and 9 to the ratio of 9, thus

[tex]\bf \cfrac{180}{4+5+9}\implies 10\qquad \qquad \qquad \qquad \qquad \stackrel{4\cdot 10}{40}~:~\stackrel{5\cdot 10}{50}~:~\stackrel{9\cdot 10}{90}[/tex]


A parallelogram has an area of
144
144
square centimeters. If the base measures
24
24
centimeters, what is the height?

Answers

I think that this one is 6. Area is bh so a/b is h and a/h is b

I think u have to do the area base times hight formula

Which terms accurately classify this triangle? CHOOSE EXACTLY TWO  ANSWERS that are correct. A. right B. acute C. isosceles D. scalene

Answers

All the angles of the triangle are less than 90 degrees, so the triangle is acute.

You can also notice the two lines entering 2 sides of the triangle, these lines mean that these two sides are equal since there are only 2 equal sides your triangle is an isosceles

Your 2 choices are; B. Acute and C. Isosceles

two-thirds of the children in the fourth grade class are girls. if there are 14 girls, what is the total number of children in the class

Answers

Let's call the number of children x. Based on the information given, 2/3x = 14. Divide by 2/3 on both sides to get x = 21 children.

Help with this math question pleaseee!!!

Answers

The asymptote of the parent function [tex] 3^{x} [/tex], like any other similar exponential function is y = 0.

But in this case the parent function is transformed. It is shifted vertically upward by 4 units. When an exponential function is shifted vertically up or down its asymptote is also shifted by same number of units. 

Hence, the asymptote of [tex]f(x)= 3^{x}+4 [/tex] will be shifted 4 units above as compared to the asymptote of [tex]f(x)= 3^{x} [/tex] .Therefore, the asymptote of [tex]f(x)= 3^{x}+4 [/tex] is y=4

Please help me with this question. I will give 10 points and brainliest :) I beg you! I need this right!

Answers

Each day Luna spent 35 euros. Since she spent the same amount of money each day, 35 euros, all you need to do is add 35 euros to the amount of money she had left after the first day. Your answer will be 350 euros.

I hope this helps! :)

In Queensland, approximately 32% of household waste is recycled. What are the factors of 32?

Answers

32 = 2*16 = 2*2*8 = 2*2*2*4 = 2*2*2*2*2

32 = 2^5 . . . . . the only prime factor is 2. It has multiplicity 5.

32 = 1*32 = 2*16 = 4*8
Divisors of 32 are 1, 2, 4, 8, 16, 32.

Find the inverse function of f(x) . F(x) = 7x - 9

Answers

The inverse of this function is f(x) = [tex] \frac{x + 9}{7} [/tex].


All inverse functions can be found by switching the x and f(x) values. Then you can solve for the new f(x). The result is the inverse function. Below is the step-by-step process for finding one.


f(x) = 7x - 9 ----> Switch the x and f(x)

x = 7f(x) - 9 -----> Add 9 to both sides

x + 9 = 7f(x) ----> Divide both sides by 7

f(x) = [tex] \frac{x + 9}{7} [/tex]

A soft drink manufacturer produces 3408 cans in an 8-hour day. Cans are packaged 24 to a case. How many cases are produced each week? each month? (Assume one week is 40 hours, and one month is four weeks.)

Answers

divide total cans by cans per case:
3408 / 24 = 142 cases per 8 hour day

40 hours / 8 = 5 days

142 * 5 = 710 cases per week

710 * 4 = 2840 cases per month

Jerry jogs the same round trip path everyday. He jogs 0.7 miles to the park and then 0.5 miles from the park to the playground. After getting a drink at the playground, he then jogs back from the playground to his house. He jogs from the playground to the bridge 0.3 miles and then 0.9 miles from the bridge to his house. When Jerry completes his jog, how many miles is he from his house?

Answers

is this a trick question, i assume you just add all the number getting 2.4 miles or he is 0 miles away from his house when he completes his jog

Answer:

He will be 0 miles from his house.

Step-by-step explanation:

Since, he jogs the same round trip path.

Thus,

[tex]\text{His final distance from his house }=d_1-d_2[/tex]

Where, [tex]d_1[/tex] = The distance he covered in first trip (towards playground)  

[tex]d_2[/tex] = The distance he covered in second trip (towards house),

In his first trip,

He covered 0.7 miles to the park and then 0.5 miles from the park to the playground.

[tex]d_1 = 0.7 + 0.5 = 1.2\text{ miles}[/tex],

In his second trip,

He covered 0.3 miles to the bridge and then 0.9 miles from the bridge to his house

[tex]d_2 = 0.3 + 0.9 = 1.2\text{ miles}[/tex],

[tex]\text{His final distance from his house }=1.2-1.2=0\text{ miles}[/tex]

A rectangular park has an area of 2/3 square mile.The length of the park is 2 2/3 the width of the park.What is the width of the park?

Answers

The width is 1/2 mi.

We know that area of a rectangle is length times width:

A = lw

The length is 2 2/3 the width, so 
l = 2 2/3w

We will change this to an improper fraction; multiply the denominator by the whole number and add the numerator:
l = 8/3w

Using this for l in the area formula, we have:
A = (8/3w)(w) = 8/3w²
2/3 = 8/3w²

Divide both sides by 8/3:

2/3÷8/3 = 8/3w²÷8/3
2/3×3/8 = w²
2/8 = w²
0.25 = w²

Take the square root of both sides:
√0.25 = √w²
0.5 = w

HELP!! 10 POINTS!! 1 EASY PROBLEM!!

Answers

To solve this problem you must apply the proccedure below:

 1. You have:

 A=3+12=15

 B=4x

 C=12

 D=3x+1

 2. Therefore, you have:

 A/B=C/D

 3. When you susbtitute the values of A,B,C and D, you obtain:

 15/4x=12/(3x+1)

 4. Now, you must clear the "x" to calculate its value, as below:

 15(3x+1)=12(4x)
 45x+15=48x
 15=48x-45x
 15=3x
 15/3=x

 5. Therefore, the result is:

 x=5

A dog sled race is 25 miles long.The equation 5/8 k=25 can be used to estimate the race’s length k in kilometers. Approximately how many hours will it take a dog sled team to finish the race if it travels at an average speed of 30 kilometers?

Answers

the distance to be covered in the race is 25 miles
average speed of the team is 30 km/h
30 km/m in miles/hour will be:
1 mile=0.621371 km
thus
30 km/h=(30×0.621371) miles/hour
=18.64113 miles/hour
time taken to complete 25 miles will be:
time=distance/speed
=25/18.64113
=1.3411 hours

What is the greatest common factor of 7ab and 8b^3

Answers

Answer:

b

Step-by-step explanation:

The greatest common factor is the largest value two numbers share in common which multiplies to each of the numbers.

7ab has factors 7, a, b

[tex]8b^3[/tex] has factors 2, 4, 8, b, b, b

These share in common b.

1.) A 2600 lb. car travelling downhill has a grade resistance of -130 lbs. Find the angle of the grade to the nearest tenth of a degree.
2.) A car travelling on a 2.7 degree uphill grade has a grade resistance of 120 lbs. Determine the weight of the car to the nearest hundred poulds.

Answers

Answer:

Step-by-step explanation:

Using the formula for Grade Resistance/Force in this case...

!!AND MAKING SURE YOUR CALCULATOR IS IN DEGREE MODE!!

R(or F) = Wsin∅

--> R/F: the Grade Resistance

--> W: Weight of the Vehicle

--> ∅: Angle of the Hill

Because the Grade Resistance in problem 1) is (-)130lbs... we know that the car is traveling DOWNhill. (If it were simply 130lbs, the car would be traveling up the hill)

W: 2600lbs       R: -130lbs      ∅: ?? (plug in) -->   -130lbs = 2600lbs(sin∅)÷ both sides by 2600lbs -130lbs÷2600lbs (lbs cancel) = -0.05-0.05 = sin∅YOU ARE NOT DONE! DO NOT BE FOOLED when you get to this point.we have just found SIN∅.... but we were asked to find ∅

to do this, we must take the INVERSE of sin.... (because we cannot simply divide both sides by 'sin' by itself... we must instead...

---> sin[tex]^{-1}[/tex](-0.05) = ?

∅ ≅ -2.866 ..... (you can then divide 866 by 60' if necessary, to find degree and minute answer)...

∅ ≅ -2° 14'

Hope this will help you and others with the 2nd question as well! ^_^

DONT GIVE UP! You got this '_^

The angle of the grade to the nearest tenth of a degree will be ∅ ≅ -2° 14'.

What is mechanics?

The branch of mathematics and physics known as mechanics is concerned with the interactions between matter, force, and motion in physical objects.

Using the formula for Grade Resistance/Force in this case...

R(or F) = Wsin∅

R/F: the Grade Resistance

W: Weight of the Vehicle

∅: Angle of the Hill

Because the grade resistance in problem 1) is (-)130lbs... we know that the car is traveling downhill. (If it were simply 130lbs, the car would be traveling up the hill)

W: 2600lbs       R: -130lbs      ∅: ??

(plugin) -->   -130lbs = 2600lbs(sin∅)

÷ both sides by 2600lbs

-130lbs÷2600lbs (lbs cancel) = -0.05

-0.05 = sin∅

When you get to this point. We have just found SIN∅.... but we were asked to find it ∅. To do this, we must take the inverse of sin.... (because we cannot simply divide both sides by 'sin' by itself... we must instead...

sin(-0.05) = ?

∅ ≅ -2.866 ..... (you can then divide 866 by 60' if necessary, to find the degree and minute answer)...

∅ ≅ -2° 14'

Therefore, the angle of the grade to the nearest tenth of a degree will be ∅ ≅ -2° 14'.

To know more about mechanics follow

https://brainly.com/question/13402543

#SPJ2

How do you find the first five terms of a sequence defined recursively

Answers

Interesting question. Good to know for computer science.
Suppose you have a function like 
an = 3x - 2 Try the first couple
a1 = 3(1) - 2
a1 = 3 - 2
a1 = 1

a2 = 3(2) - 2
a2 = 6 - 2
a2 = 4 So each term differs by 3
a2 - a1 = 3

an = a_(n - 1) + 3
a3 = a2 + 3
a3 = 4 + 3 
a3 = 7

a4 = a3 + 3
a4 = 7 + 3
a4 = 10

a5 = a4+ 3
a5 = 10 + 3
a5 = 13

I'll do one more and then check it.
a6 = a5 + 3
a6 = 13 + 3
a6 = 16

a6 = 3x -2
a6 = 3*6 - 2
a6 = 18 - 2
a6 = 16 which checks.

So the general formula is
an = a_(n - 1) * k if you were multiplying or
an = a_(n - 1) + k if you were adding. The key thing is that you are working with the previous term.

What is the value of m in the figure below?

Answers

The Answer is C Square root of 36

Answer: square root of 136



Step-by-step explanation:


help me asap

Which equation has both 7 and -7 as possible values of y ?

y³=42

y²=42

y³=49

y²=49

Which equation has both 4 and ? –4 as possible values of y ?

y²=8

y³=12

y²=16

y³=64

Answers

You are expected to know (-x)*(-x) = x^2 = (x)*(x) for any value of x.

With this in mind, you expect to be looking for squares in answer to your question. You will find them.

1) y² = 49 . . . . . . . 4th selection
2) y² = 16 . . . . . . . 3rd selection

A shoe box measures 15in. by 7 in. by 4 1/2 in. What is the surface area of the box?

Answers

we know that

4 1/2----> (4*2+1)/2-----> 9/2

[surface area of the box]=2*[area of the base]+[perimeter of the base*height]
[area of the base]=15*7------> 105 in²
perimeter of the base=2*(15+7)-----> 44 in

[surface area of the box]=2*[105]+[44*9/2]---->   210+198---> 408 in²

the answer is
408 in²

WHICH COULD BE THE NAME OF A POINT
A .EF
B. K
C. Q
D. MN

Answers

B) K can be the name of a point.
C) Q can also be the name of a point.

Hope this helps =)
it is c Q hope it helps 

What is the measure of ∠D ?



Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

m∠D=
°

Answers

the answer is 29.05°

NEED HELP AS FAST AS POSSIBLE

Dan drew the line of best fit on the scatter plot shown below:

A graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 15 at increments of 1 and scale along y axis from 0 to 15 at increments of 1. The ordered pairs 0, 4 and 1, 4 and 2, 5 and 3, 6 and 4, 7 and 5, 9 and 6, 10 and 7, 11 and 8, 13 and 9, 14 and 10, 15 are shown on the graph. A straight line joins the ordered pairs 0, 3 and 10, 15.

What is the equation of this line of best fit in slope-intercept form?

y = 3x + 6 over 5
y = 5 over 6x + 3
y = 3x + 5 over 6
y = 6 over 5x + 3

Answers

it should be y= 6 over 5x +3

Answer:

d

Step-by-step explanation:

y=6/5x+3

You open a checking account. You are paid 3% interest on the average daily balance, but are charged a $4 monthly charge. Assuming that interest is paid monthly (regardless of the number of days in the month), calculate the average balance you must maintain to offset the $4 monthly charge.

Answers

P= 1/RT = $4/ 3% * 1/12 = $4/.03 * 1/ 12 = $4/.0025

You must maintain an average balance of $1,600.
I = P*r*t
4 = P*0.03*(1/12)
P = 48/.03 = 1600

Your average daily balance must be $1600 to offset the fee.

A rectangular prism has a length of 5 cm, a width of 212 cm, and a height of 112 cm. Which expressions can be used to find the volume of the prism? Select each correct answer. A. 5∙212∙112 B. 1212∙112 C, 112(5+212) D. 12(1212∙112)

Answers

Volume is the amount of 3-dimensional space an object occupies

Volume is measured in cubic units.To find Volume Multiply the length, the width, and the height.

The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W.

The rectangular prism has a length of 5 cm, a width of 212 cm, and a height of 112 cm.

Substituting these values in the formula.

Volume = 5∙212∙112

Option A. 5∙212∙112 is the right answer.



3/7b, 5/3c, 11/21bc The LCD is

Answers

21bc would be your least common denominator

Point P' is the image of P(3, 5), under a reflection across the y-axis. What are the coordinates of P'?

Answers

The point (0, 5) on the line of reflection is the midpoint between the original and its image.
.. P' = (-3, 5)

Answer:

P'( -3 ,5).

Step-by-step explanation:

Given  : Point P' is the image of P(3, 5), under a reflection across the y-axis.

To find : What are the coordinates of P'

Solution : We have given  

Pre image  P( 3 ,5 ).

Rule of reflection  over y axis : ( x ,y) →→→( -x , y) .

Here , x = 3  ; y = 5

Then ,  ( 3 ,5) →→→( -3 , 5) .

Therefore, P'( -3 ,5).

Use the discriminant to determine how many x-intercepts the graph of the equation has. y = –4x2 + 3x + 2 zero one two three

Answers

To find the x-intercept, substitute in 0 for y and solve for x. 

x-intercept: ( 3 + √41 / 8 , 0 ) , ( 3 - √41 / 8 , 0 )

Answer: two

gavin bakes 70 cookies in a hour. how many cookies can he bake in 4 hours?

A.350
B.240
C.280
D.210

Answers

280, you simply just multiply 70 and 4.
Final answer:

To find out how many cookies Gavin can bake in 4 hours, we multiply the number of cookies he makes in one hour (70) by 4, resulting in 280 cookies.

Explanation:

If Gavin bakes 70 cookies in one hour, to calculate the number of cookies he can bake in 4 hours, we simply need to multiply the amount he can bake in one hour by 4. The calculation is as follows:

Multiply the number of cookies baked in one hour (70) by the number of hours (4).
70 cookies/hour × 4 hours = 280 cookies.

Therefore, the correct answer is C. 280 cookies.

pls find 5he area of each rectangle thxs

Answers

(7 cm)*(10 cm) = 70 cm^2

The area is the product of length and width.
length × width
7×10=70

Don Price bought a house for $70,000. He rents the house for $900 per month. He has $700 in monthly expenses.
What is the amount of the annual rent?
What is the amount of annual expenses?
What is his rate of income to the nearest tenth of a percent?

Answers

Annual rent=$10,800
Annual Expenses=$8,400
Rate of income=moneyt
the annual rent is 900*12, which is 10800
The annual expense is 700*12, which is 8400
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