Mathematics High School

10 oranges and 20 grapefruits weigh 35 pounds total. 16 oranges and 10
grapefruits weigh 23 pounds total. How much would 13 oranges and 15
grapefruits weigh?
A 28 pounds
B 29 pounds
C 30 pounds
D 58 pounds

10 Oranges And 20 Grapefruits Weigh 35 Pounds Total. 16 Oranges And 10grapefruits Weigh 23 Pounds Total.

Answers

Answer 1

Answer:

B

Step-by-step explanation:

oranges weigh 0.5 and grapefruits weigh 1.5

Answer 2

The required: 13 oranges and 15 grapefruits would weigh 29 pounds.

The correct option is A.

What is the system of equations?

One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.

Let's use a system of equations to solve this problem:

Let's call the weight of an orange "x" and the weight of a grapefruit "y". Then we can write:

10x + 20y = 35 (equation 1)

16x + 10y = 23 (equation 2)

We want to find the weight of 13 oranges and 15 grapefruits, which we can represent as:

13x + 15y

In this case, we can multiply equation 1 by -8 and equation 2 by 15:

-80x - 160y = -280 (equation 1, multiplied by -8)

240x + 150y = 345 (equation 2, multiplied by 15)

Now we can add the two equations to eliminate y:

160x = 65

Solving for x, we get:

x = 65/160

Now we can substitute this value of x back into one of the original equations to solve for y. Let's use equation 1:

10(65/160) + 20y = 35

Simplifying this equation, we get:

13/32 + 2y/4 = 7/2

Multiplying both sides by 32, we get:

13 + 16y = 112

Solving for y, we get:

y = 99/16

Finally, we can substitute these values of x and y into the expression for 13 oranges and 15 grapefruits:

13x + 15y = 13(65/160) + 15(99/16) = 29.0625

Therefore, 13 oranges and 15 grapefruits would weigh approximately 29.0625 pounds, which is closest to answer B, 29 pounds.

To learn more about the system of equations;

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Related Questions

Does anyone know this!? Pick the one the correctly describes it!
If its correct ill mark you as the best answer!

Answers

Answer:

d- the slope is undefined

Step-by-step explanation:

Esteban has a big jar f change in his room, he has 600 coins total, and 240 of them are pennies.
What percent of the coins are pennies?

Answers

Answer:

40%

Step-by-step explanation:

240/600 = 0.40 * 100% = 40%

the graph of the absolute value parent function, f(x) = |x|, is stretched horizontally by a factor of 5 to create the graph of g(x). what is the function of g(x)?


a. g(x) = |x+5|
b. g(x) = |1/5 x|
c. g(x) = |5x|
d. g(x) = 5 |x|

Answers

Answer: I’m thinking the answer is B

Step-by-step explanation:

Transformations are used to move a function from one position to another. The function of g(x) is [tex]g(x) = |\frac x5|[/tex]

Given that:

[tex]f(x) = |x|[/tex]

The rule of a horizontal stretch by factor k is:

[tex](x,y) \to (\frac xk,y)[/tex]

This means that:

[tex]g(x) = f(\frac xk)[/tex]

In this case, [tex]k = 5[/tex]

So, we have:

[tex]g(x) = f(\frac x5)[/tex]

Calculate [tex]f(\frac x5)[/tex]

[tex]f(\frac x5) = |\frac x5|[/tex]

Hence, the function of g(x) is

[tex]g(x) = |\frac x5|[/tex]

Read more about function transformation at:

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Hailey is putting up a fence in the shape of an isosceles triangle in her backyard. The fence has side lengths as shown, where x represents the number of feet in each fence section. The perimeter of the fence can be covered using 8 total fence sections represented by the expression 8x. If fencing costs $6.50 a foot, what would be the total cost of the fence?

Answers

Answer: The total cost would be $780.00

The expression for the total cost of fencing is $52x , where x is a variable representing the number of feet in one section.

What is an expression in one variable?

An expression in one variable is a statement formed by the using constants and an unknown variables and mathematical operators but sign is equal to is not used. Expression in one variable is linear if the power of the unknown variable is equal to one .

Given that number of feet in one fence section be x

No of feet in 8 such fence section = 8x

Given , Perimeter = 8 fence sections = 8x feet

Cost of fencing of one foot = $6.50

Cost of fencing 8x feet = 8x * 6.50

Therefore , the total cost of the fencing can be given by = 8x*6.50

                                                                                                  = $ 52 x

Thus, the expression for the total cost of fencing is $52x

Also, Learn more about the expressions in one variable from the link below:

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HELP ASKING ANGIN PLLLLLLLLLLLLLLLLLLLLLLLLLLZZZZZZZZZZZZZZZZZ

Answers

Answer:

Step-by-step explanation:

Evaluate 1/6 + 2/3.

3/18
5/6
1/5
1 1/6

Answers

Answer:

5/6

Step-by-step explanation:

anyone able to help me

Answers

Answer:

2x-3=-x+3

Step-by-step explanation:

The value of y directly proportional to the value of x. If y= 8 when x= 12, what is the value of y when x= -15?

The value of y directly proportional to the value of x. If y= 3 when x= 24, what is the value of y when x= -8?

Answers

Answer:

The value of y should be -10

Step-by-step explanation:

If x and y are proportional, then 8/12=y/-15

The fractions just show the y values over the x values

Cross multiply to get 12y= -120

y= -10

Rena is building a 1 : 180 scale model of a real castle. Her model has a rectangular base that is 333 feet wide and 444 feet long.

What is the area of the base of the actual castle in square feet?

Answers

Answer:

26,613,360 ft^2

Step-by-step explanation:

333 feet wide and 444 feet long

333 ft x 444 ft

147,852 ft^2

147,852 = the 1 in the 1:180 ratio, so...

147,852 x 180 = 26,613,360 ft^2

solve for x in the literal equation −14 = xy + z.

Answers

X=-14/y-z/y
Pls mark brainliest if correct

Meghan has her own business. When she makes money, it is called income. When she spends money, it is called expenses. Choose the phrases below to explain how to use positive or negative integers to represent income and expenses. You would use positive integers to represent income because it is a Choose... amount. You would use negative integers to represent expenses because they are opposites of income.

Answers

Answer and explanation:

When you use positive interger to represent income, it shows that there has been an addition instead of a subtraction in money value to the business. In other words money is coming in instead of going out. Example when there is profit on goods sold say $10, it is indicated with a positive integer 10 to indicate addition in terms of operating income

When you use a negative value to represent expense, it indicates there has been a subtraction instead of an addition in money value. In other words money is going out of the business and not coming in. Example when there is a transportation expense to convey goods to the buyer, it is recorded as expenses subtracted from say revenue sales of the business. expenses are usually indicated in brackets in accounting to show negative value, although not a requirement since they are already named and recognized as expenses and subtracted regardless

Consider the following equation 70 = bx + 7
What value of b will result in the solution x = -9?
A: 11
B: -11
C -7
D 7

Answers

Answer:

I think the answer us C.

Step-by-step explanation:

70-7=63. 9×7=63 so we now know the two values. if the outcome is a positive number then both answers must be negative (negative times negative=positive).

Answer:

-7

Step-by-step explanation:

70=bx+7

70=b(-9)+7

70=-9b+7

-7. -7

63=-9b

÷-9 ÷-9

-7=b

what is 3(x+2)-5x simplified

Answers

Answer:

6-2x

Step-by-step explanation:

=3x+6-5x

=6-2x

Answer:

-2x + 6

Step-by-step explanation:

3(x+2)-5x =

3x + 6 - 5x =

-2x + 6

You worked 5.5 hours one day and 3 hours another day. You had 8 dollars already and now that you have been paid, you have $84.50. How much were you paid an hour

Answers

Answer:

u were paid 9 dollars an hour

Step-by-step explanation:

Combine these radicals..​ please help you'll get brainiest.

Answers

Answer:

-54

Step-by-step explanation:

√100= 10√36= 6-6 (10) + 6

       -6 times 10 is -60

       -60 + 6 is -54

Sydney asked her friends to write down the number of hours they practice their instruments each week. The data is shown.
1, 6, 6, 5, 2, 2, 0,5,6,7
What is the median of the data?

Answers

Answer:

5.5

Step-by-step explanation:

if you order the number from least to greatest like this 0,1,2,2,5,5,6,6,6,7 the median is the median number so here the median is 5.5 the reason it is 5.5 is bc the middle  number is 5 and 6 and the middle number of that is 5.5

Check all of the polynomial functions that have 2 as a root.
h(m) = 8 – m3
f(g) = g3 – 2g2 + g
f(a) = a3 – 4a2 + a + 6
f(x) = x3 – x2 – 4

Answers

Answer:

Explained below

Step-by-step explanation:

Polynomial Roots

If x=a is a root of f(x), then f(a)=0

We will test the following functions to check if a=2 is a root.

[tex]h(m)=8-m^3[/tex]

[tex]h(2)=8-2^3=8-8=0[/tex]

Thus m=2 is a root of h

[tex]f(g)=g^3-2g^2+g[/tex]

[tex]f(2)=2^3-2\cdot 2^2+2[/tex]

[tex]f(2)=8-2\cdot 4+2=8-8+2=2[/tex]

Thus g=2 is not a root of f

[tex]f(a) = a^3 - 4a^2 + a + 6[/tex]

[tex]f(2) = 2^3 - 4\cdot 2^2 + 2 + 6[/tex]

[tex]f(2) = 8-16+8=0[/tex]

Thus a=2 is a root of f

[tex]f(x) = x^3 - x^2 - 4[/tex]

[tex]f(2)=2^3 - 2^2 - 4[/tex]

[tex]f(2)=8 - 4 - 4=0[/tex]

Thus x=2 is a root of f

Answer:

answers are A, C, and D

Step-by-step explanation:

THIS IS CORRECT

what is the inverse of f(x)? show the work
f(x)+3x+5

Answers

Answer:

[tex]f^-^1(x)=\frac{1}{3}x-\frac{5}{3}[/tex]

Step-by-step explanation:

To solve for the inverse, we need to switch the variables and solve for y.

Note that f(x) is the same as y or in other words, the output.

f(x) = 3x + 5

y = 3x + 5

~Switch variables

x = 3y + 5

~Subtract 5 to both sides

x - 5 = 3y

~Divide 3 to everything

1/3x - 5/3 = y

~Flip

y = 1/3x - 5/3

Best of Luck!

Alejandro is saving money from work and his Mom will give him an extra 27 of whatever he saves. If Alejandro saves $50, how much will his mom give him?

Answers

The answer would be 77

define the term perpendicular​

Answers

Answer:

Perpendicular refers to that which has a right angle in relation to the intersection of two lines or planes. ... As seen in the Cartesian plane, what defines a line as perpendicular is its point of intersection with another line.

Step-by-step explanation:

can you please explain?​

Answers

Answer:

I THINK A AND E

Step-by-step explanation:

A sequence can be generated by using an=an−1+9, where a1=−5 and n is a whole number greater than 1. What are the first four terms in the sequence?
A.−5, 4, 13, 22
B.9, 4, −1, −6
C.−5, −45, −405, −3645
D. 9, −45, 225, −1125

Answers

Answer:

B.9, 4, −1, −6

Step-by-step explanation:

A sequence can be generated by using an=an−1+9, where a1=−5 and n is a whole number greater than 1. What are the first four terms in the sequence?

A.−5, 4, 13, 22

B.9, 4, −1, −6

C.−5, −45, −405, −3645

D. 9, −45, 225, −1125

From the above question,

A sequence can be generated by using an=a(n−1)+9, where a1=−5

The formula = an = a1 + (n - 1)d

a1 = First term

d = common difference = 9

We are to find the first 5 terms

First term = a1 =

an=an−1+9, where a1=−5

The formula =

a1 = -5 (1 - 1) + 9

= -5(0) 9

= -9

Second term = a2 =

an=an−1+9, where a1=−5

The formula = an = a1 (n - 1) + d

a2 = -5(2 - 1) + 9

= -5(1)+ 9

= -5 + 9

= 4

Third term = a3 =

an=an−1+9, where a1=−5

The formula = an = a1(n - 1) + d

a3 = -5(3 - 1)9

= -5(2) + 9

= -10+ 9

= -1

Fourth term = a2 =

an=an−1+9, where a1=−5

The formula = an = a1(n - 1) + d

a4 = -5(4 - 1)9

= -5(3) +9

= -15 +9

= -6

An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a conputer monitor the actual book is 9 inches wide . How tall is the actual book ?

Answers

Answer:

Step-by-step explanation:

Step one: 9÷1.5= 6

Step two: 3·6=18

The actual book is 18 inches tall and 9 inches wide

Evaluate the following algebraic expression​

Answers

Answer:

Step-by-step explanation:

13-5=8

8*8=64

Answer:

(13−5)2

=8*8

=64

Step-by-step explanation:

7. There are 40 boys in 7th grade. The number of girls in 7th grade is 30. Carly says
that means the ratio of the number of boys in 7th grade to the number of girls in 7th
grade is 4:7. Is Carly correct? Explain. If not, what is the correct answer?
HELP ASAPP THANKS

Answers

Answer:

I'm pretty sure Carly isn't correct.

Step-by-step explanation:

If I'm not mistaken, the ratio would be 4:3....

If I'm wrong, go ahead, sue me.

i find the difference of
the two sum
14581 +4 185 41 and 23427+23243​

Answers

Answer:

by adding 14581+418541=433,122

by adding 23427+23243=46,670

by substraction of both Numbers=

difference between both number is 386,452

Mutiplylng an even number of negative numbers glves an answer that Is?​

Answers

Answer:

A positive number is obtained

Step-by-step explanation:

Answer:

You would get a positave number

Step-by-step explanation:

please help me. Calculus AB. WILL GIVE BRAINLIEST ANSWER​

Answers

Answer:

E. -4

General Formulas and Concepts:

Algebra I

Reading a coordinate planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Calculus

Derivatives

The definition of a derivative is the slope of the tangent line

Derivative Notation

Step-by-step explanation:

Step 1: Define

Identify

Given a graph of g(x) and asked to find g'(0).

Step 2: Find

We approximate g'(0) by finding the tangent line at x = 0.

Identifying points (1, -4) and (-1, 4), we can find the tangent line:

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{4 - -4}{-1 - 1}[/tex][Slope] Subtract:                                                                                               [tex]\displaystyle m = \frac{8}{-2}[/tex][Slope] Divide:                                                                                                  [tex]\displaystyle m = -4[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

please answer this before tomorow please guys help me help me please​

Answers

Answer:

3456

Step-by-step explanation:

5555

Answer:

which grade are you

Step-by-step explanation:

skskakksksksks

How many sevenths are there in two wholes?

Answers

Answer:

14

Step-by-step explanation:

7 times 2 = 14

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