On Monday, Saffron bakes
324 pastries in the morning and some more in the
afternoon. She sells 584 pastries. At the end of the
day she has 52 pastries left. How many pastries did
she bake in the afternoon?

Answer:

2.5

Step-by-step explanation:

Given expression:

\(6 \times \left(\dfrac{2}{3} \div 2\right)+0.5\)

Following the order of operations (PEDMAS), carry out the calculation inside the parentheses first.

When dividing a fraction by a whole number, first covert the whole number into a fraction:

\(\implies 6 \times \left(\dfrac{2}{3} \div \dfrac{2}{1}\right)+0.5\)

When dividing fractions, flip the second fraction (swap the numerator and denominator), then multiply:

\(\implies 6 \times \left(\dfrac{2}{3} \times \dfrac{1}{2}\right)+0.5\)

\(\implies 6 \times \left(\dfrac{2 \times 1}{3\times2}\right)+0.5\)

\(\implies 6 \times \left(\dfrac{2}{6}\right)+0.5\)

\(\implies 6 \times \dfrac{2}{6}+0.5\)

Now carry out the multiplication:

\(\implies \dfrac{6 \times2}{6}+0.5\)

\(\implies \dfrac{\diagup\!\!\!\!6 \times2}{\diagup\!\!\!\!6}+0.5\)

\(\implies 2+0.5\)

Finally carry out the addition:

\(\implies 2.5\)

2.5

6*(2/3)/2 + 0.5

6*1/3 + 0.5

2 + 0.5

=2.5

Answer:

5.2414

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The length of FG is approximately 15.3 cm.

To calculate the length of FG using Pythagoras' theorem, we need to find the length of the hypotenuse (FG) of a right triangle. Let's denote the length of FG as x.

According to Pythagoras' theorem, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, we have:

\(FG^2 = GH^2 + FH^2\)

Given that GH = 8 cm and FH = 13 cm, we can substitute these values into the equation:

\(x^2 = 8^2 + 13^2\)

\(x^2 = 64 + 169\)

\(x^2\) = 233

To find x, we take the square root of both sides:

x = √233 ≈ 15.26 cm (rounded to 1 decimal place)

Therefore, the length of FG is approximately 15.3 cm.

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Therefore , as a result Two of a triangle's sides and the included  SAS angle are said to be congruent if they match the corresponding sides and angles of another triangle.

The Side-Angle-Side rule is applied to check the congruence of a set of triangles. The SAS rule states that a triangle is congruent if its two sides and included angles match those of another triangle.

Here,

if the first triangle's two sides and one of its included angles are equal to the second triangle's sides and one of its included angles.

Consequently, the SAS declares two triangles to be congruent. Two triangles are said to be congruent if their matching two sides and their included angles are found in a single triangle, according to the SAS theorem of congruence.

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Answer:

Step-by-step explanation:

x - 12 ≤ 3 - 2x

3x ≤ 15

x ≤ 5

To graph this, just draw a VERTICAL line passing through x = 5, then shade the area to the LEFT

Answer:

Im pretty sure every hat and mask is 1 dollar

Answer:

132°

Step-by-step explanation:

Since there are parallel lines, this will help figure out what the value of x is.

A straight line equals 180°

We know that one side is 48°

Subtract

180 - 48 = 132

The total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

Given:

Court lines are 50 mm wide.

Court paint covers 7 m² per litre of paint.

The centre circle is a complete circle, so the circumference is given by the formula: Circumference = 2πr

Radius of the entire circle = 9 m / 2 = 4.5 m

Radius of the centre circle = 4.5 m - 0.05 m (converted 50 mm to meters) = 4.45 m

Circumference of the centre circle = 2π(4.45 m) = 27.94 m

Next, let's calculate the circumference of the semicircles:

The semicircles are half circles, so the circumference is given by the formula: Circumference = πr

The radius (r) of the semicircles is the same as the radius of the entire circle, which is 4.5 m.

Circumference of a semicircle = π(4.5 m) = 14.14 m

Total length = Circumference of the centre circle + 2 x Circumference of a semicircle

Total length = 27.94 m + 2(14.14 m)

Total length = 56.22 m

Therefore, the total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

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Part A : The domain of this function is [3, ∞) as (x - 3) ≥ 0.

Part B : The range of this function is (- 17, ∞).

Part C : The vertical and horizontal asymptotes of this function are 3 and 2 respectively.

The interval at which the graph is positive is (3, 28)

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function g(x) is defined by g(x) = - log4(x - 3) + 2.

The domain of this function is [3, ∞) as (x - 3) ≥ 0.

The range of this function is (- 17, ∞).

The vertical and horizontal asymptotes of this function are 3 and 2 respectively.

The interval at which the graph is positive is (3, 28)

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Answer: No. It is positive

Step-by-step explanation:

I am assuming 10.75 is the sum and you are not missing another additive. A positive sum holds a value equal to or over zero while a negative sum is less than zero on the number line.

Answer:

b

Step-by-step explanation:

b

Answer:

Jordan

Step-by-step explanation:

Jordan 5:2 -> 10:4, 15:6   20:8  25:10  50:20  60:24  70:28

Beth  18:7->  36:14  54:21  72:28

When Both of them add 28 of BLUE paint, Jordan adds only 70 yellow paint, while Beth uses 72 yellow paint. This would make Jordan's green darker.

Answer:

HI RACHEL

Step-by-step explanation:

so you do 1 + 1 which equalls to -8

then you do 7 - 9 which qualls 67

LOOL

Answer:

High

Step-by-step explanation:

Hi

Answer:

141 Canned Goods

Step-by-step explanation:

If Cameron collected 3 times as many canned goods as Diego and Diego collected 47 canned goods, then Cameron collected 141 canned goods.

Answer:

H0 : μ = 215

H1 : μ > 215

Rejection region :

Zstatistic > Z0.05

Step-by-step explanation:

Given that:

Average price of all mobile phones was £215

Sample size = 200

Significance level (α) = 0.05

To determine if the average price of all mobile phones is now greater than £215

The Null hypothesis (H0) :

H0 : μ = 215

Alternative hypothesis (H1) :

H1 : μ > 215

The rejection region :

|Zstatistic > Zα|

α = 0.05 ; Z0.05

Rejection region :

Zstatistic > Z0.05

Answer:

x² + y² = 74

Step-by-step explanation:

given

(x - y) = 8 ( square both sides )

(x - y)² = 8² ← expand left side using FOIL

x² - 2xy + y² = 64 ← substitute xy = 5

x² - 2(5) + y² = 64

x² - 10 + y² = 64 ( add 10 to both sides )

x² + y² = 74

Answer:

attached below

Step-by-step explanation:

minus 2 from each side in order to isolate T with the coefficient. To get rid of the coefficient multiply to get 1 which is 5 in this case. Then the answer will be 75

Answer:

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Answer:

see below

Step-by-step explanation:

the quotient is 1 and the remainder is 565.

Answer:

544w + 11%

Step-by-step explanation:

544 is the number he started with, so if he increases 11% by w (the amount of weeks) then you will get your anwser based on the number of weeks he increases

Answer:

The solution:

X = 16 and Y = -6

Step-by-step explanation:

The equations to be solved are:

x+y = 10 ------- equation 1

x+2y = 4 ----------- equation 2

we can multiply equation 1 by -1 to make the value of x and y negative.

This will give us

-x- y = - 10 ------- equation 3

x+2y = 4 ----------- equation 2

We will now add equations 3 and 2 together so that x will cancel itself out.

this will give us

y = -10 +4 = -6

hence, we have the value of y as -6.

To get the value of x, we can put this value of y into any of the equations above.  (I will use equation 1)

x - 6 = 10

from this, we have that x = 4

Therefore, we have our answer as

X = 16 and Y = -6

Answer:

tan(θ)= dn/de

θ=arctan(dn/de)

Step-by-step explanation:

Answer:

I'm pretty sure the answer is A.

Step-by-step explanation:

y = x^3 + 1 is a place in a linear graph.

Answer:

$25.44

Step-by-step explanation:

Although the starting price of the pair of jeans is $ 32, it is 25% off. Thus, 75% of its initial value (100-25) is being paid, with which the pre-tax price is determined as follows:

32 x 0.75 = X

24 = X

In turn, at that discounted price, 6% must be calculated as sales tax, with which the final price is determined through the following calculation:

24 x 1.06 = X

25.44 = X

Therefore, the price to pay for the pair of jeans is $ 25.44.

Answer:

$25.44

Step-by-step explanation:

i just know

Given the equation:

We will solve the equation by factoring as follows:

Make all terms on the left side of the equations:

Take x as a common factor from all terms:

Factor the equation:

Solve:

so, the answer will be x = { -2, 0 , 5 }

We need to find the y-intercept of the equation.

For this, we need to use the slope-intercept form:

Where m represents the slope and b the y-intercept.

Now, to get the form, we need to solve the equation for y:

Then:

Solving for y:

Add both sides 5x:

Divide both sides by 3

We can rewrite the expression as:

Where 5/3x represents the slope and 10 represents the y-intercept.

The y-intercept represents when the graph of the equations intersects with the y-axis, therefore, it can be written as the ordered pair (0,10).

Answer:

x = 24°

Step-by-step explanation:

If two parallel lines are being intersected by the same line, the opposite inside angles are congruent. This means that ∠EFH should be equal to ∠JHF. However, we cannot set these angles equal because we do not know the value of ∠JHG.

Line IG is intersected by line HJ. This means the value of ∠JHG is 24° (180° - 156° = 24°). Know that we know this value, we can set up an equation to find "x".

∠EFH = 2x

∠JHG = 24°

∠GHF = x

∠EFH = ∠JHF                                  <----- Opposite interior angles are equal

∠EFH = ∠JHG + ∠GHF                   <----- Break ∠JHF into 2 angles

2x = 24 + x                                      <----- Insert values

x = 24                                             <----- Subtract x from both sides

Answer:

18/5

Step-by-step explanation: