I need help with this

The local bakery baked 120 chocolate cupcakes

The ratio of the strawberry cupcake to chocolate cupcake = 8:4

Number of strawberry cupcakes baked = 240

Ratios: Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorize ratios. Part to whole ratio is one, and part to part ratio is the other.

Let x represent the total number of cupcakes baked by the bakery

The Sum of the ratio is 8+4 = 12

So, the fraction of strawberry cupcakes baked = 8/12

The total number of cupcakes:

= 8/12 of x =240

8/12x = 240

x = 240*12/8

= 360

So, the number of chocolate cupcakes = 4/12 of 360

= 120

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Answer:

0.512

Step-by-step explanation:

Answer:

0.512

Step-by-step explanation:

[tex]\frac{512}{1000} =0.512[/tex]

Hope this helps

Answer:

x 1/3

Step-by-step explanation:

Solving Linear equation  4x-2y= -40 : x = 10 + 0.5y

What is Linear Equation?

A linear equation is a mathematical expression that may be written as x 1+ldots +a n+x n+b=0, where x 1, ldots, and x n are the variables and displaystyle b, a 1, ldots, and a n are the coefficients, which are frequently real integers.

Simplifying

4x + -2y to 40

Solving

4x + -2y = 40

fixing the 'x' variable.

x should be moved to the left of all terms, and the right of all other terms.

To each side of the equation, add "2y."

4x + -2y + 2y = 40 + 2y

combining similar terms

-2y + 2y = 0

4x + 0 = 40 + 2y

4x = 40 + 2y

Multiply each side by "4".

x = 10 + 0.5y

Simplifying

x = 10 + 0.5y

Hence, solving for x the value of x = 10 + 0.5y

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The unit rate in metric tons per hour is 1 metric ton per hour.

The unit rate will be calculated by simply performing the division of amount of dirt by amount of time.

Keep the values in formula to find the value of the unit rate in metric tons per hour.

Unit rate = 1/4÷1/4

Performing division on Right Hand Side of the equation to find the value of the unit rate in metric tons per hour.

Unit rate = 1 metric ton per hour

Thus, the unit rate to remove dirt from construction site is 1 metric ton per hour.

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1) 9, 7 , 13

Yes because the sum of the two smaller sides is greater than the third side.

2) 26 , 12 , 11

No because the sum of the two smaller sides is not greater than the third side.

3) 11, 2, 9

No because the sum of the two smaller sides is not greater than the third side.

4) 6,11,12

Yes because the sum of the two smaller sides is greater than the third side.

According to the Triangle Inequality Theorem, the total of any two sides in a triangle must be greater than the third side.

Two arcs in a triangle will only come together at their points of intersection if the sum of their radii is larger than the separation between their centers.

In a triangle, the difference between any two sides will be smaller than the third side if any two sides' sums are more than the third.

1) 9, 7 , 13

Yes because the sum of the two smaller sides is greater than the third side.

2) 26 , 12 , 11

No because the sum of the two smaller sides is not greater than the third side.

3) 11, 2, 9

No because the sum of the two smaller sides is not greater than the third side.

4) 6,11,12

Yes because the sum of the two smaller sides is greater than the third side.

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Using the process of induction we can prove that the sum of all angles of a polygon is  (n −2) ×180°

In geometry, a polygon is a planar shape characterized by a finite number of segmented straight lines linked to form a network of closed polygons (or polygonal circuit). A polygon is defined as either a bounded plane region or a bounding circuit.

Sum of all angles of a triangle is 180°

Sum of all angles of a quadrilateral is 360°

We know that a triangle has 3 sides.

Hence (n −2) ×180 for n=3 given 180

and (n −2) ×180 for n=4 gives 360.

So we can say that the formula holds by the properties of induction.

The portions of a polygonal circuit are known as its margins or sides. A polygon's vertices or corners are the points where two edges meet. The inside of a solid polygon is sometimes referred to as its body. An n-gon appears to be a polygon with n sides, similar to a triangle, which is a 3-gon.

Hence the formula (n −2) ×180◦ holds for induction.

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One way to determine the number is to multiply 2 and 9, this is because the resulting number will be divisible by them perfectly. Let's try:

So our candidate is 18, we need to test if it's divisible by 2 and 9 perfectly:

It is, therefore the number is 18.

Hey there!

Not very sure if you mean [tex](\frac{5}{6x} )[/tex] or [tex](\frac{5}{6}x)[/tex], but I'll solve both

[tex]\frac{5}{6} x-9+3-\frac{2}{3}[/tex]

First step is to simplify:

[tex]\frac{5}{6} x+-9+3+\frac{-2}{3}[/tex]

Now, we need to combine Like Terms:

[tex](\frac{5}{6}x)+(-9+3+\frac{-2}{3} )[/tex]

[tex]\frac{5}{6} x+\frac{-20}{3}[/tex]

[tex]\frac{5}{6x} -9+3-\frac{2}{3}[/tex]

Simplify:

[tex]\frac{5(1-8x)}{6x} or\frac{-40x+5}{6x}[/tex]

Hope this helps!

Rhian scored more in the Math test than in the English test because she had a higher percentage

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that: In the Maths test, Rhian scored 14 out of 17, hence:

Mark percentage = (14 / 17) * 100% = 82.35%

In the English test, Rhian scored 31 out of 39, hence:

Mark percentage = (31 / 39) * 100% = 79.49%

Rhian scored more in the Math test.

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The most appropriate choice for congruency of triangles will be given by -

Congruent Corrosponding parts

PQ = SR

QR = ST

PR = RT

∠QPR = SRT

∠QRP = ∠STR

∠PQR = ∠RST

What is congruency of triangle?

Two triangles are said to be congruent if all the corrosponding sides and corrosponding angles of the triangles are equals.

There are five axioms of congruency of triangles. They are-

SSS axiom, ASA axiom, AAS axiom, RHS axiom, SAS axiom

Here,

[tex]\Delta PQR \cong \Delta TSR\\[/tex]

Congruent Corrosponding parts

PQ = SR

QR = ST

PR = RT

∠QPR = SRT

∠QRP = ∠STR

∠PQR = ∠RST

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when x = -3

f(-3) = 5 5 is the result

The commission earned by the salesman last month is $160.

For the given question,

The commission earned by the salesman is 20% on his sells.

Last month total sell = $800.

Let x be the total commission earned.

Then,

20% of 800 = x

x = 20× 800 / 100

x = 160

Thus, the commission earned by the salesman last month is $160.

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Answer:

True, because multiples of a right triangle triple produces a similar right triangle

Step-by-step explanation:

Answer:

yes because 5 is bigger than 0.5 and we are using the same type of mesuremenmeasurement

Answer: B

y=3/5 x +4

Step-by-step explanation:

Insert each equasion into the graph with the points from the table and whichever line , lines up with the points is your answer

2 Answers:

Choice C and choice E

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

Explanation:

Choice A is ruled out because of the phrasing "rises and falls". A linear function can't do both rising and falling. You must only pick one direction to aim for. Choice B is ruled out for similar reasoning. A parabola is likely a better option for choice B.

Choice C is linear assuming the car stays at 55 mph. Recall that distance = rate*time. In this case, the equation is y = 55x where x is the number of hours and y is the distance traveled in miles. As an example, x = 10 hours leads to y = 550 miles traveled.

Choice D isn't linear. The increase of 2 doesn't match with the increase of 1. Linear functions must have the same amount of increase over the same time gap.

Choice E is linear and the equation is y = 2x, where x is the number of years and y is the number of movies made total. For example, at year x = 10, the director has made y = 2x = 2*10 = 20 movies total.

---------------

If in doubt, graph the situation. If you get a straight line, then the equation is linear.

Answer: c and e

Step-by-step explanation:

Answer:

It's 5

Step-by-step explanation:

Answer:  By convention, the volume of liquids and gases is often expressed in units of liters or milliliters, measured with glassware. The dimensions of regularly shaped solids can be measured directly with rulers or calipers, which have linear units, giving volumes in units such as cubic centimeters.

Step-by-step explanation:

The equation will be 2d = 14 and the number of days d she can feed pickles from the bag is 7 days.

Pickles eat 2 cups of hungry hound dog food each day.

brittany wants to know how many days she can feed pickles from a 14-cup bag of hungry hounds.

We need to find the number of days d she can feed pickles from the bag.

Number of days = d,

So, Every day, Pickles consumes 2 cups of Hungry Hound dog chow.

Pickles then consume cups of Hungry Hound dog chow every day for a few days.

Then,

2*d = 14

[tex]d=\frac{14}{2} = 7[/tex]

Thus, the number of days d she can feed pickles from the bag is 7 days.

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a) The angles associated with the cosine function are θ₁ = 45°, θ₂ = 315° and θ₃ = 405°.

b) The secant function of 585° is equal to - √2.

Graphically speaking, trigonometric functions are relations between two sides of a right triangles related to an angle. There are six trigonometric functions: (i) Two fundamentals (sine, cosine), (ii) Four derivates (tangent, cotangent, secant, cosecant). In the first part, we need to find all the possible angles such that the following trigonometric function is met:

cos θ = √2 / 2

The angles are located in the first and fourth quadrants, respectively. The solutions are θ₁ = 45°, θ₂ = 315° and θ₃ = 405°, respectively.

Now, we need to determine the secant function of 585°. Since the secant function has period of 360°, then we must find an angle coterminal to 585° that is between 0° and 360°:

θ' = 585° - 360°

θ' = 225°

And the trigonometric function is rewritten in terms of fundamental trigonometric functions:

x = 1 / cos θ'

x = 1 / cos 225°

x = 1 / (- √2 / 2)

x = - 2 / √2

x = - √2

The secant function of 585° is equal to - √2.

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The 3 numbers are 17/4, and the number is equal to or greater than 8, and 7 respectively. We can solve the equation using a linear equation in one variable.

A linear equation is one in which the variable's maximum power is consistently 1. A one-degree equation is another name for it. A linear equation with one variable has the formula Ax + B = 0, which is its standard form. x is a variable, A is a coefficient, and B is constant in this situation. A linear equation with two variables has the formula Ax + By = C as its standard form. Here, the variables are x and y, the coefficients are A and B, and the constant is C.

1) Given that

five times the difference between a number and two is seven more than that number

Hence, by forming an equation we get

5(n-2) = n+7

5n -10 = n+7

4n = 17

n = 17/4

2)Given that

twice a number decreased by four is greater than ten, what numbers satisfy this condition

Hence, by forming an equation we get

2n -4 > 10

2n -4+4 > 10+4

2n > 14

2n / 2 > 14/2

n > 7

hence, a number greater than 7 will satisfy the equation.

3) Given that

twice a number decreased by two is equivalent to that number increased by five.

2n-2 =n +5

n = 7

Hence the number is 7

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Answer: take another pic but put it closer

Step-by-step explanation:

Answer: 5.009 x 10^-9

Step-by-step explanation:

The Telus Plaza South in Edmonton is approximately 134 m tall. Stacy is lying down near the building. The angle formed by the ground and her line of sight from the ground to the top of the building is 67°. Stacy is 316m from the building's foundation to the nearest meter.

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It is given that a = 30°. It is also shown that C is a right angle, thus c = 90°. The interior angles of a triangle always add up to 180°. So:

a + b + c = 180
30 + 90 + b = 180
b + 120 = 180
b + 120 - 120 = 180 - 120
b = 60°

Geometric art or geometric abstraction is a form of art based on geometric figures and polygons, like lines, angles, squares, trapezoids, etc.