# Morgan is making two cookie recipes. Recipe A calls for one-third less than twice the number of cups
of sugar that Recipe B calls for. If she needs four and one-sixths cups of sugar in all, how many cups will she need for Recipe A?

i don't know the answer to this question, but i can give you an example that way you can find your own answer!

possible answers for the example question:

65∘

115∘

35∘

75∘

85∘

To find the measure of angle DAC, we must know that the interior angles of all triangles sum up to 180 degrees. Also, as this is an isosceles trapezoid, ∠ADC and ∠BCD are equal to each other. The two diagonals within the trapezoid bisect angles ∠ADC and ∠BCD at the same angle.

Thus, ∠ACD must also be equal to 50 degrees.

Thus, ∠ADC=50+15=65.

Now that we know two angles out of the three in the triangle on the left, we can subtract them from 180 degrees to find ∠DAC:

180−65−50=65

the correct answer for the example question is 65 degrees

a = 2

b = 9

........................

Answer:

a=2 b=9

Step-by-step explanation:

w^2-11w+18=0

w^2-9w-2w+18=0

w(w-9)-2(w-9)=0

w=2 or w=9

Therefore a=2 and b=9

Answer:

The geometric term best described is a line.

Step-by-step explanation:

Given - Bree described a yardstick as a length of wood that starts at 0 and continues onto 36 inches.

To find - Which geometric term best describes Bree's description of a yardstick

Solution -

The geometric term best described is a line.

Luc is correct in stating that the line will remain the same with certain dilation centers, such as the origin (0, 0) and the point (3, -4). These centers of dilation will cause a scale factor of 2, but the line will remain the same.

To check if Luc is correct, we can calculate the points of the dilation with scale factor 2.

For the origin (0, 0):

Point A: (x, y) = (0, 3)

Point B: (x, y) = (-4, -3)

Dilated Point A: (x, y) = (0, 6)

Dilated Point B: (x, y) = (-8, -6)

Equation of the dilated line: y = -4x + 6

This shows that the line is dilated with scale factor 2, but is the same line.

For the point (3, -4):

Point A: (x, y) = (3, -1)

Point B: (x, y) = (-1, -7)

Dilated Point A: (x, y) = (6, -2)

Dilated Point B: (x, y) = (-2, -14)

Equation of the dilated line: y = -4x + 3

This shows that the line is dilated with scale factor 2, but is the same line.

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The coordinates of the center of the circle and the radius length of the specified circle are (-3,2) and 6 units, respectively.

A circle is a shape formed by all points in a plane that are at a particular distance from the center. It is the curve sketched out by a point moving in a plane so that its distance from a particular point remains constant. A circle is a closed two-dimensional object in which the set of all the points in the plane is equidistant from a particular point called "centre". The line of reflection symmetry is formed by every line that travels through the circle. It also features rotational symmetry around the center for all angles.

Here,

x²+6x+9-9+y²-4y+4-4=23

(x+3)²-9+(y-2)²-4=23

(x+3)²+(y-2)²=36

(x+3)²+(y-2)²=6²

center=(-3,2)

radius=6

The coordinates of the center of the center and the length of the radius of the given circle is (-3,2) and 6 units.

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Answer:

768 square inches

Step-by-step explanation:

Area of the rectangle = length × width

Length = 75 in

Width = 12 in

Area of the rectangle = length × width

= 75 in x 8 in

= 600 in²

Area of the square = length ²

Length = 12 in

Area of the square = length ²

= 12 in²

= 12 in × 12 in

= 144 in²

Area of a triangle = 1/2bh

b = base = 12 in

h = height = 4 in

Area of a triangle = 1/2bh

= 1/2 * 12 in * 4 in

= (1*12*4)in² / 2

= 48 in² / 2

= 24 in²

Total area of the painted part of the street sign = Area of the rectangle + Area of the square + Area of a triangle

= 600 in² + 144 in² + 24 in²

= 768 in²

Answer:

Answer:

Step-by-step explanation:

Given Line equation is 4x+3y=12 and point (3,4)

Given condition two line are parallel

Parallel means two straight lines having same slope.

From the above condition we can use "point-slope"  equation.

[tex]y-y_{1} =m(x-x_{1} )[/tex]    

From the given line equation we can find slope easily.

We can rewrite the line equation as [tex]y=-\frac{4}{3} x+4[/tex]

We can compare the above equation as  y=mx+b

slope [tex]m=-\frac{4}{3}[/tex] and point [tex](x_{1} ,y_{1} )[/tex]=(3,4) submit in slope-point equation.

Becareful while submit point in the slope point equation.

Note:(Many students do mistakes while submitting point.

[tex]y-4=-\frac{4}{3}(x-3)[/tex]

solve and get the answer

Equation of line is 4x+3y=24

Answer: The Last Option. It is very simple.

Answer: D

Explanation:

Overdraft is when you take out more money in your account than your account has.

Eli could travel 12 miles and 3/4x+2x>11 inequality matches the statement Three-fourths times x added to two times x is more than eleven

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that a taxi charges a flat rate of $1.75 and an additional $0.65 per mile.

Eli has at most $10 to spend on the cab ride

We need to find how far could he travel

1.75+0.65x≤10

Subtract 1.75 on both sides

0.65x≤10-1.75

0.65x≤8.25

x≤8.25/0.65

x≤12.6

So he could travel 12 miles.

Three-fourths times x added to two times x is more than eleven

3/4x+2x>11

Hence,  Eli could travel 12 miles and 3/4x+2x>11 inequality matches the statement Three-fourths times x added to two times x is more than eleven

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Inequality in its most basic form explains this circumstance is 5x + 4y ≤ 21

Jamal, a camp counsellor, purchased meal tickets at an arts festival for his ravenous kids. The campers may use them to purchase burgers and hot dogs, both of which cost four tickets each.

A camp counsellor purchased meal tickets at an arts festival for her ravenous kids.

The campers may use them to purchase burgers and hot dogs, both of which cost four tickets each.

Let x be the number of hot dogs and y be the number of burgers. In all, campers are allowed to utilise up to 21 tickets.

Thus, inequality in its most basic form explains this circumstance.

= 5x + 4y ≤ 21

Inequality in its most basic form explains this circumstance is 5x + 4y ≤ 21

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The slope of the line on the given coordinate plane is equal to 1.

In Mathematics, the slope of a straight line can be calculated by using this this mathematical expression;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

From the information provided in the graph, we have the following data points on the line:

Points on x-axis = (-1, 0).

Points on y-axis = (0, 1).

Substituting the given points into the slope formula, we have the following;

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (1 - 0)/(0 - (-1))

Slope, m = 1/(0 + 1)

Slope, m = 1/1

Slope, m = 1

In conclusion, we can logically deduce that the slope of this line is equal to 1.

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Answer:

16 is the correct answer

Answer:

m∠1 = 25° (opposite angles are congruent)

m∠2 = 87° ⇒ 180 - (25 + 68)

m∠3 = 68° ⇒ 180 - (87 + 25)

Hope this helps!

Kate needs to buy 453.6 ft2 of mulch for her 12 ft radius garden, which is equal to 76.3 cubic feet when multiplied by the desired depth.

Kate needs to purchase 453.6 cubic feet of mulch for her garden. To figure this out, she needs to first calculate the area of her garden using the formula A = πr2, where A is the area of the garden and r is the radius. In this case, the area of Kate’s garden is 453.6 ft2. For example, if she wants to put down 2 inches of mulch, she would need to purchase 453.6 ft2 x 0.167 ft = 76.3 cubic feet. This calculation can be adjusted depending on the depth of mulch desired. For example, if Kate wants to put down 3 inches of mulch, she would need to purchase

453.6 ft2 x 0.25 ft = 113.4 cubic feet

A = πr2

A = π(12)2

A = 453.6 ft2

Mulch = A x depth

Mulch = 453.6 ft2 x 0.167 ft

Mulch = 76.3 cubic feet

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Answer:

Skewed Right

Step-by-step explanation:

Took the test

Answer:

C

Step-by-step explanation:

QUAD ABCD is a rectangular shape whose diagonals meet at point P. AC is 4x-13 and DP is x + 7.

When one set of opposing sides in a quadrilateral are congruent and parallel, the quadrilateral is a parallelogram. ABCD is a parallelogram if — BC — AD and — BC — AD. A quadrilateral becomes a parallelogram if its diagonals are bisected by one another.

In QUAD ABCD, DP equals x + 7 and AC is 4x-13.

4x - 13 is x + 7 + x + 7

4x - 13 = 2x+14

2x-13 = 14.

hence,

The value of x is 13.5.

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Answer:

Where is the picture for the question?

Answer: So Jamie ran 3 1/2 miles on Monday and half that distance on Tuesday. We need to know how far she ran "in all" which are key words for "addition".

We need to add 3 1/2 + (1/2)(3 1/2)

It's probably easiest to do this by converting to an improper fraction.

So let's convert:

3 1/2 is the same as 7/2. now we can rewrite the problem:

7/2 + (1/2)(7/2)

= 7/2 + 7/4 . Now we need a common denominator:

7/2 = 14/4

Now we have 14/4 + 7/4 = 21/4.  Now we should convert to a mixed number.

21/4 = 5 1/4

So Jamie ran 5 1/4 miles in all.

Step-by-step explanation:

Answer:

5.25 or 5 1/4 (Whichever you prefer)

Step-by-step explanation:

To make it simpler, we will convert 3 1/2 to decimal format.

First, take 3 and multiply it by the denominator 2 of 1/2, then add that number to the numerator of 1/2

3 x 2=6 -> 6+1=7

now add the denominator 2 under 7 and we now have 7/2, the equivalent to the mixed number 3 1/2

Afterward, to get the decimal, divide the numerator by the denominator:

7 divided by 2=  3.5

Now halve 3.5 to get the number Jaimie ran on Tuesday -> 1.75

Then add both 3.5 (3 1/2) and 1.75 (1 3/4), to get 5.25 or 5 1/4, which is your answer.

Answer: Order from Least to Greatest

-1/8 < 0.33 < 3/8 < 75% < 1 5/8

Step-by-step explanation:

To compare and order fractions we must first convert all integers, mixed numbers (mixed fractions) and fractions into values that we can compare. We do this by first converting all terms into fractions, finding the least common denominator (LCD), then rewriting each term as an equivalent fraction with the LCD. Then we compare the numerators of each fraction and put them in correct order from least to greatest or greatest to least.

Answer:

a

Step-by-step explanation:

hi this is the kid u talked to during aprill and may about that game little alchemy.

Answer:

Step-by-step explanation:

Answer: x is -5 and y is +3

Step-by-step explanation:

yes

Answer:

c

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

16 increases by 75 percent in order to reach 28.

The right angle triangle is the name of the 3, 4, and 5 triangles.

A right-angled triangle is a triangle with one of the angles at 90 degrees. A 90-degree angle is called a right angle.

The formula states that in a right triangle:

The square of the hypotenuse is equal to the sum of the square of the base and the square of the altitude.

(Hypotenuse)² = (Base)² + (Altitude)²

c²=a²+b²

The three numbers which satisfy the above formula are the Pythagorean triplets

Properties of right angle:

The largest angle is always 90º and called the hypotenuse which is always the side opposite to the right angle.

The measurements of the sides follow the Pythagoras rule, which cannot have any obtuse angle.

consider c=5 a=3, b=4 substitute in above formula:

5²=3²+4²

⇒25=9+16

⇒25=25

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Answer:

A

Step-by-step explanation:

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Answer:

A. 24

Step-by-step explanation:

The angle formed by two secants intersecting outside of a circle is equal to half of the difference of the intercepted arcs.

In other words, ∠1 is 104 minus 56, divided by 2.

[tex]\frac{104-56}{2} =\frac{48}{2}= 24[/tex]

Answer:

d ≥ 50

Step-by-step explanation:

To receive the discount, you must spend at least $50, which can be represented by the inequality d ≥ 50. This inequality means that the amount you must spend (d) is greater than or equal to $50. If you spend more than $50, you will receive the discount. If you spend less than $50, you will not receive the discount.

The percent that the new frame is bigger than the original frame if the width of the frame remains the same is 9.1%.

From the information, the painting, square in shape, is placed in a wooden frame with width of 10% of the length of the side of the paining. The painting was enlarged by 10%.

Let the length be Illustrated as 10cm.

Width = 10% × 10cm

= 1cm

New Length = 10cm + (10% × 10cm)

= 11cm

The old perimeter will be:

= 2(1 + 10)

= 22cm

New perimeter will be:

= 2(1 + 11)

= 24cm

The percentage increase will be:

= (24 - 22) / 22 × 100

= 2/22 × 100

= 9.1%

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Answer:

A parabola has the form:

y = a*x^2 + b*x + c

Where a is the leading coefficient.

If a is positive, the parabola opens up.

If a is negative, the parabola opens down.

a is the factor that multiplies the part that grows the fastest in the equation, thus, if a is a larger value (in absolute value) then the parabola will grow faster (then the parabola will be narrow)

if a is smaller (again, in absolute value) the parabola will grow slower, then the parabola will be wider.

With this, we can conclude that:

a = -4

is the largest value of a in absolute value.

Then this corresponds to the thinner parabola (the one at the left)

a = -1

Is the middle value of a, then this corresponds to the graph of the middle

a = -0.25

Is the smallest absolute value of a, then this one corresponds to the widest graph (the first one at the left)