Yajaira is making cookies with her mom. The recipe calls for 7 eggs but they are making 2 batches. How many eggs should they use?

The segment XT splits the trapezoid exactly in half. The average of RS and Q will give us XT because of the properties of a trapezoid.

We find the area of a trapezoid by averaging the bases as well.

RS + Q / 2 = XT

RS + 26 / 2 = 22

RS + 26 = 44

RS = 18

Hope this helps!

Answer:

31 + 32 + 33 = 96.

Step-by-step explanation:

I think you are meaning 96 not -96

Answer:

#1 Eighty-nine and 23 thousandths. #2 B.

Step-by-step explanation:

9 is more than 8. ‍♀️

Answer:

y=-28 and x=6

Step-by-step explanation:

y=-6x+8...... eqn(1)

7x+2y=-14.......eqn(2)

Two times equation (1)

2y=-12x+16..... eqn(3)

2y=-14-7x........ eqn (2)

eqn(3) - eqn(2)

0=-5x+30

5x=30

x=6

from eqn (1) where x=6

y=-6(6)+8

y= -36+8

y=-28

Answer:

Step-by-step explanation: Multiply 20 by 12 and divied 8 that should give u your answer

X intercept: 10/5

Y intercept: 0

To find the intercepts of a linear equation, you need to set either the X or Y variable to 0 and then solve for the other variable.

For example, if you have the equation 5x - 2y = 10, you can set X equal to 0 and solve for Y to find the Y intercept, or you can set Y equal to 0 and solve for X to find the X intercept.

X Intercept:

To find the X intercept, set Y equal to 0 and solve for X.

5x - 2(0) = 10

5x = 10

x = 10/5

X intercept = 10/5

Y Intercept:

To find the Y intercept, set X equal to 0 and solve for Y.

5(0) - 2y = 10

-2y = 10

y = -10/2

Y intercept = 0

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Answer:

I think its 17+3r=v so D?? I'm not entirely sure but I believe that's it lol

Answer:

  48.6

Step-by-step explanation:

Put the values in place of the variables and simplify according to the Order of Operations in the usual way.

  10.2x +9.4y

  = 10.2(2) +9.4(3) . . . . . 2 is substituted for x; 3 is substituted for y

  = 20.4 +28.2

  = 48.6

Answer:

B. After the booking fee the party will cost $20 per person

Answer:

y = 1/2x - 3

Step-by-step explanation:

the slope:

\(m=\frac{-4-(-1)}{-2-4} =\frac{-4+1}{-6} =\frac{-3}{-6} =\frac{3}{6} =\frac{1}{2}\)

the equation:

with the point (4, -1)

\(y-(-1)=\frac{1}{2} (x-4)\)

\(y+1=\frac{1}{2}x-2\)

\(y=\frac{1}{2} x-2-1\)

\(y=\frac{1}{2} x-3\)

I hope this help you

Answer:

Center ( -8, 1 )

Radius ( 13 )

Answer:

If the base and the negative exponent is in the denominator already

Step-by-step explanation:

Normally, a base with a negative exponent moves to the denominator.

Example: (2^-3 = 1 / (2)^3 = 1/8)

However, if the base and the negative exponent is already in the denominator, the base would move to the numerator and the exponent would become positive.

Example:  2 / (3)^-3 = 2 * 3^3 = 2 * 27 = 54

In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:

Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.

Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.

These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).

Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.

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To find z^4, we can raise z to the fourth power, since z^4 = (z)^4. Using the polar form of z, we have:

z = 2cis(60°)

We can convert this to rectangular form using the following formulas:

x = r cosθ

y = r sinθ

where r is the magnitude of z, and θ is the angle in radians.

r = 2

θ = 60° = π/3 radians

x = 2 cos(π/3) = 1

y = 2 sin(π/3) = √3

Therefore, z = 1 + √3i

Now, we can raise z to the fourth power:

z^4 = (1 + √3i)^4

Using the binomial expansion formula, we can expand this expression:

z^4 = 1 + 4(√3i) + 6(-1) + 4(-√3i) + 1

Simplifying, we get:

z^4 = -8 + 8√3i

Therefore, z^4 in rectangular form is -8 + 8√3i.

The equation is proved.

G\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`\)

We need to prove the given equation. Solution: Using the identity \(`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`\)

in the given equation, we get

\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-\)

\(2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)\)

\((2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹\)

\(`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-\)

\(sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹\)

`\(2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`\)

For `LHS`, using identity

\(`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹\)

\(`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-\)

\(1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.\)

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X+1, R2 is the synthetic division of (x²+3)+(x-1) by In the divisor x + 5, change the constant's sign from 5 to -5 and bring it down.

The number is said to be in variables its simplest form being divided in it's smallest equivalent fraction. When or how to find the most basic form. Look for common factors throughout the denominator and numerators. Verify a fractional integer to verify if it qualifies as a prime number. A statement having two orthogonal axes and even an equal sign in the middle is called an equation in mathematics. The general form of any equation provides the degrees of all the  in descending order. The conventional form of a linear equation is an x + b = 0. The general form of a linear equation with two variables is an x + b y + c = 0. (or something similar). Equations can be categorized as assumptions or conditional equation.

given

(x²+3)+(x-1)

2x+3 / x = 1

X+1, R2 is the synthetic division of (x²+3)+(x-1) by In the divisor x + 5, change the constant's sign from 5 to -5 and bring it down.

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Answer:

where is the practical table pic

Answer: 1:5.

Step-by-step explanation:

Answer:

One bowl has 1 yellow, 1 red, and 2 green apples. The other bowl has 5 each of boysenberries, strawberries, blueberries, and blackberries.

Step-by-step explanation:

Answer:

8 months

Step-by-step explanation:

if you can get 120 per month then 950/120 = ~8

Answer:

She needs $350.

Step-by-step explanation:

120 x 5 = 600

$950 - $600 = $350

The pounds of seafood at the boil was 10 37/40 pounds

A fraction is defined as the part of a whole number, a whole element or a whole variable.

The types of fractions are listed as;

From the information given, we have that;

5 4/5 + 4 1/2 + 5/8, all in pounds

convert the mixed fraction to improper fractions, we have;

29/5 + 9/2 + 5/8

Find the lowest common factor, we have;

232 + 180 + 25  /40

Add the values

437/40

Divide the values

10 37/40 pounds

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\(\\ \sf\longmapsto tan60=\dfrac{a}{b}\)

\(\\ \sf\longmapsto \sqrt{3}=\dfrac{3}{b}\)

\(\\ \sf\longmapsto b=\dfrac{3}{\sqrt{3}}\)

\(\\ \sf\longmapsto b=\sqrt{3}\)

\(\\ \sf\longmapsto b=1.732\)

Now

\(\\ \sf\longmapsto a^2+b^2=c^2\)

\(\\ \sf\longmapsto (\sqrt{3})^2+3^2=c^2\)

\(\\ \sf\longmapsto c^2=9+3\)

\(\\ \sf\longmapsto c^2=12\)

\(\\ \sf\longmapsto c=3.3\)

Step-by-step explanation:

Solution,

Taking angle A=60° as reference angle, we have

perpendicular(p)=3

hypotenuse(h)=c

base(b)=b

Now,

Tan 60°=p/b

√3=3/b

b=3/√3

b=1.732

Again,

Sin 60°=p/h

√3/2=3/c

√3×c=3×2

√3×c=6

c=6/√3

c=3.4

Answer:

315,125

Step-by-step explanation:

Answer:

\(N_c \approx 5.0\)

Step-by-step explanation:

From the question we are told that:

Waiting time for a container of the wheels during production \(T_w=0.25day\)

Average processing time is \(T_a=0.15 day per container\)

Wheel per container \(N_w=200\)

Total wheel per day \(D=2000\)

Policy variable of \(X=5%\)  

Generally the equation for Total number of container \(N_c\) is mathematically given by

\(N_c=DT(\frac{1+X}{N_w} )\)

Where

Total time \(T=T_w+T_a\)

\(T=0.15+0.25\)

Therefore

\(N_c=DT(\frac{1+X}{N_w} )\)

\(N_c=2000*0.40(\frac{1+0.5}{200} )\)

\(N_c=(\frac{840}{200} )\)

\(N_c=4.2\)

\(N_c \approx 5.0\)

Therefore the number of Kanban containers needed for the wheels is

\(N_c \approx 5.0\)

Order of the given expression into smallest to largest are as follow:

\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12} < \frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12}\)

As given in the question,

Given expressions are as follow:

\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12},\\\\\frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12}\\\\\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} \\ \\\frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)}\)

Arrange them in the order of smallest to largest by simplifying them,

\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12}= \frac{2+4}{24-12\\}\)

          = 0.5

\(\frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12}= \frac{4+\sqrt{2} }{12}\)

          =0.45

\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} = \frac{2+4}{-48}\)

           = -0.125

\(\frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)}= \frac{4+\sqrt{2} }{-48}\)

            = -0.1128

-0.125 < -0.1128 < 0.45 < 0.5

Therefore, order of the given expression into smallest to largest are as follow:

\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12} < \frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12}\)

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The required number of different distances possible is given as 36.

Given that,
In a board game, the distance a player travels is equal to the sum of the numbers shown when two 6-sided dice are tossed.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
1 dice have 6 outcomes
2 dice have 6 outcomes,
Number of possible combination = 6 × 6 = 36

Thus, the required number of different distances possible is given as 36.

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Answer:

2

Step-by-step explanation:

bc

Answer:

(2/5)√5

Step-by-step explanation:

from the sine rule (see attached for reference), we can construct the following relationship

12/sinθ  = (6√5) / sin 90°

recall that sin 90° = 1, hence our equation becomes:

12/sinθ  = (6√5) / 1

12/sinθ  = (6√5)   (rearranging)

12 ÷ (6√5)  = sin θ

sin θ = 12 / (6√5)

sin θ = 2 / √5   (moving radical to numerator by multiplying by √5/√5)

= 2 / √5     x     √5/√5

= 2√5 / 5

= (2/5)√5

Therefore, the value of x in the right triangle is 24 cm.

A triangle is a two-dimensional geometric shape that has three straight sides and three angles. It is formed by connecting three non-collinear points. The sum of the interior angles of a triangle is always 180 degrees, and the measure of each angle depends on the lengths of the sides and the type of triangle. There are different types of triangles based on their side and angle measures, such as equilateral, isosceles, scalene, acute, right, and obtuse triangles. Triangles have various properties and formulas that are used in geometry and other fields.

Here,

In a right triangle, the side opposite to the right angle is the longest side and is called the hypotenuse. Therefore, in this case, 25 cm is the hypotenuse of the triangle.

Using the Pythagorean Theorem, we can find the missing length x:

a² + b² = c²

where a and b are the lengths of the legs of the right triangle and c is the length of the hypotenuse.

In this case, a = 7 cm, b = x, and c = 25 cm.

Substituting these values into the Pythagorean Theorem, we get:

7² + x² = 25²

49 + x² = 625

x² = 625 - 49

x² = 576

x = √576

x = 24

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