Abag of peanuts is 5 times as heavy as a bag of sunflower seeds. The bag of peanuts
also weights 920 grams more than the bag of sunflower seeds. What is the total weight
in grams for the bag of peanuts and the bag of sunflower seeds?

Answer:

a. 60%

b. 37%

c. 3%

Step-by-step explanation:

a. 72/ 120 then multiply by 100

b. 120- 72 + 4 = 44/ 120 x 100

c. 4/120 x 100

Answer:

a) 60%.      b) 37%.      c) 3%

Answer:

4

Step-by-step explanation:

Answer:

$79.375

Step-by-step explanation:

Given that:

Bill before tax = $63.50

Tax = 7%

Tip added = 18%

Hence,

Tax = 7% of bill before tax

Tax amount = 0.07 * 63.50

Tax amount = $4.445

Tip amount = 0.18 * 63.50

Tip amount = $11.43

Total meal cost :

Before tax cost + tax amount + tip amount

$(63.50 + 4.445 + 11.43) = $79.375

Answer:

3.2

Step-by-step explanation:

Step-by-step explanation:

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The volume, in cubic in, of a cylinder with a height of 15 in and a base radius of 5 in is 1177.5 cu.in.

A fixed planar closed curve intersects a surface traced by a straight line traveling parallel to a fixed straight line , is called as a Cylinder.

It is given that the height of the cylinder = 15 inch

Base radius = 5 inch.

The volume of the cylinder is given by

V = π r²h

V = π 5² * 15

V = 3.14 *25 *15

V = 1177.5 cu.in

The volume, in cubic in, of a cylinder with a height of 15 in and a base radius of 5 in is 1177.5 cu.in.

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Answer:

wait what is that what the question ask you to do

Answer:

f = 54°

Step-by-step explanation:

54° and f are vertical angles and are congruent, thus

f = 54°

Answers:

1) The errors that were made in this expression are that [tex](-\frac{1}{4})[/tex] was converted to   [tex](-\frac{1}{12})[/tex] incorrectly when it’s supposed to convert to [tex](-\frac{3}{12})[/tex], [tex]\frac{2}{3}[/tex] was also converted to [tex]\frac{2}{12}[/tex] incorrectly when it’s supposed to convert to [tex]\frac{8}{12}[/tex], an order of operations step was done wrong when [tex](-\frac{1}{12})+\frac{2}{12}[/tex] were added, but they are not supposed to be added since the brackets are supposed to be done first, and another order of operations step was done wrong when [tex]\frac{1}{12}[/tex] ÷ [tex]\frac{1}{3}[/tex] were divided, but they are not supposed to be divided because the brackets were removed when they’re supposed to be kept and solved first.

2) The errors that were made in this expression are that an order of operations step was done wrong when [tex]-\frac{15}{40} -\frac{32}{40}[/tex] were subtracted, but they are not supposed to be subtracted since multiplication or division is supposed to be solved first than subtraction or addition, [tex](-\frac{4}{5} )[/tex] was not flipped when the symbol was changed from division to multiplication when it’s supposed to change to [tex](-\frac{5}{4} )[/tex], and another order of operations step was done wrong when [tex]\frac{3}{10}[/tex] × [tex](-\frac{4}{5})[/tex] were multiplied, but they are not supposed to be multiplied because [tex]-\frac{47}{40}[/tex] × [tex]\frac{3}{10}[/tex] are supposed to be solve first since the expression needs to be solved from left to right.

Now create two of your own showing common errors that are made, and explain why you think these are the common errors:

In the image below ↓

Answer:

x/10=-30/100 : -3

5/35 = 1/a : 7

2/x = 100/15 : .3

12/k = 4/1 : 3

2/8 = g/4 : 1

Step-by-step explanation:

Answer:

y=10x-4

Step-by-step explanation:

To find the slope of the line, we will take 2 points.

(1,6), (2,16)

m=16-6/2-1

m=10/1 or m=10

Next, we will need to find b.

6=10(1) + b

6=10 +b

-4=b

y=10x-4

Answer:

Step-by-step explanation:

RMJ = MPT = 90                     Perpendicular lines create right angles (90o)

PM = RJ                                   Given

TM = MJ                                   Definition of a midpoint

PT = MR                                   Two equal legs of a right triangle makes the third   side of each equal by a^2 + b^2 = c^2

ΔPTM = ΔJMR                               Side Side Side

There are other ways of doing this. This is one way.

Answer:

[tex]V=\dfrac{2}{25}T+22[/tex]

Step-by-step explanation:

It is given that,

At 0 degrees Celsius, the volume of a gas is 22 liters. For each degree the temperature T (in degrees Celsius) increases, the volume V (in liters) of gas increases by 2/25.

If we take a cartesian coordinate, the line passes through (0,22). The slope of the line is 2/25.

The equation of a point-slope form is given by :

[tex]y-y_1=m(x-x_1)\\\\y-22=\dfrac{2}{25}(x-0)\\\\y-22=\dfrac{2x}{25}\\\\y=\dfrac{2x}{25}+22[/tex]

Here, x will be temperature and y will be volume. So,

[tex]V=\dfrac{2}{25}T+22[/tex]

Hence, the equation that represents the volume in terms of the temperature is [tex]V=\dfrac{2}{25}T+22[/tex]

Answer:p(x) = x^3 - 5x^2 - 4x + 20

Step-by-step explanation:

1, - 1, 2, - 2, 4, - 4, 5, - 5, 10, - 10, 20, - 20

P(2) = 2^3 - 5 × 2^2 - 4 × 2 + 20

= 8 - 20 - 8 + 20 = 0,

so, 2 is one of its roots (zeros)

So,

x - 2 is one of the factors of p(x)

So, on dividing p(x) by x - 2 we get

P(x) = (x - 2) (x^2 - 3x - 10)

= (x - 2) (x^2 - 5x + 2x - 10)

= (x - 2) {x (x - 5) + 2 (x - 5)}

= (x - 2) {(x - 5) (x + 2)}

P(x) = (x - 5) (x - 2) (x + 2)

For zeros, let p(x) = 0

=> (x - 5) (x - 2) (x + 2) = 0

Either

(x - 5) = 0

Or

(x - 2) = 0

Or

(x + 2) = 0

So, x = 5, 2, - 2

Answer:

35

Step-by-step explanation:

Let number = x

(1/5 of x) + (3 * x) = 42 + (2 * x)

x/5 + 3x = 42 + 2x

1/5x + 3x - 2x = 42

1 1/5x = 42

6/5 x = 42

x = 42 ÷ 6/5

x = 42 * 5/6

x = 210 / 6

x = 35

The number is 35

Answer:

5b - 3

Step-by-step explanation:

5b-3 is the algebraic expression for "3 less than the product of 5 and b"

Expression is a combination of variables, numbers and Operators.

The given sentence is

"3 less than the product of 5 and b"

Let us write the sentence in algebraic form.

We know that product of 5 and b means multiplication of 5 and b that means five times of b.

3 less than means subtracting 3 from another number.

So 3 less than the product of 5 and b is 5b-3.

Hence 5b-3 is the algebraic expression for "3 less than the product of 5 and b"

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Answer:10 wrong

Step-by-step explanation:

I am smart

Hope it helps :)

The Answer is 4.

You isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

C 4

Step-by-step explanation:

Upon drafting an equation based on the information provided and solving it, it is concluded that Steph earns £36 by selling the plain scones.

An equation is a combination of numbers, variables, functions, or often symbols according to a peculiar rule. It consists of expressions and equality sign(=).

Let's assume that Steph earns x from selling cheese scones then she earns 4x from selling fruit scones and 3x from selling plain scones.

The total amount she earns by selling all the scones is 96.

So,

x + 4x + 3x = 96

8x = 96

x = [tex]\frac{96}{8}[/tex]

x = 12

The amount she earns by selling plain scones = 3 × 12 = 36.

So, she makes £36 by selling the plain scones.

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Answer:

6 ft

Step-by-step explanation:

Let the width = w

Then the length = 4w - 3

perimeter = 2(length + width)

perimeter = 2(4w - 3 + w)

perimeter = 2(5w - 3)

perimeter = 10w - 6 = 54

10w - 6 = 54

10w = 60

w = 6

Answer: The width is 6 ft

Answer:

(-1,3)

Step-by-step explanation:

Given that the quadrilateral ABCD is translated to get quadrilateral A'B'C'D'. The vertex A is at (-5,2) is translated to vertex A' is at (2,-2).

The translation is x-direction, a, is the difference of x-coordinates of both the points, a=2-(-5)=2+5=7.

The translation is y-direction, b, is the difference of y-coordinates of both the points, b = -2-2 = -4.

As all the points are translated by the same magnitude as well as in the same direction, so by adding a to x and b to y coordinate of any points, the translated point can be determined.

The vertex of point B is (-6,5), so, the vertex of the point B' would be (-6+a, 5+b)=(-6+7, 5+(-4))=(-1,3).

Hence, the vertex of point B' is (-1,3).

For the first one we divide every element by sqrt3

we get

q+2/sqrt3 =sqrt5/sqrt3

q=(sqrt5-2)/sqrt3

q=sqrt3*sqrt5-2*sqrt3/3

q=sqrt15-2sqrt3/3

which is the third option

For the second one

sqrt(2y-5) +4=8

first we move the 4 to the right

sqrt(2y-5)=4

we remove the square root by bringing to the power of two

2y-5=16

2y=21

y=21/2

y=10 1/2

third option

Answer:

[tex]m=\frac{-4}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (4, 2)

Point (1, 6)

Step 2: Find slope m

Answer:

b = 2.25

Step-by-step explanation:

Here, we want to get the value of b

from the question;

s(x) = ab^n

Firstly;

15 = a•b^5

Secondly

170 = a•b^8

Divide second by first

170/15 = ab^8/ab^5

11.33 = b^3

b is the cube root of 11.33

b = 2.25

Answer:

1- no

2- yes

3- no

4- yes

the ones that are no are because they either have x-values that repeat or they have y-values that repeat

Step-by-step explanation:

Answer:

Here you go

Step-by-step explanation:

The quadratic formula helps you solve quadratic equations, and is probably one of the top five formulas in math. Then the formula will help you find the roots of a quadratic equation, i.e. the values of x where this equation is solved.

Answer:

ok

Step-by-step explanation: