A recipe calls for 10 cups of sugar for every 3 eggs. How many cups of sugar are
required if a dozen eggs are used by the baker?

Answer:

1/3

Step-by-step explanation:

y=MX+b

y=-2/9x+1/3

b=y-intercept

Answer:

1) (-1,4)

2) (3,-2)

3) (4,1)

4) (3,0)

Step-by-step explanation:

Half the distance between the different coordinates, ignoring the coordinates that are the same between both points.  (1,0) and (5,0) become (3,0) because 5-1=4 and 4/2 = 2 and 1+2=3.

Hope this helps <3

Answer:

Step-by-step explanation:

Answer:

Option (4)

Step-by-step explanation:

Given table in the picture is,

x              y              1st difference

0            -7                     -  

1             -2               -2 - (-7) = 5

2             3                3 - (-2) = 5

3             8                8 - (3) = 5

4             13               13 - 8 = 5

5             18               18 - 13 = 5

There is a common difference of 5 between every consecutive numbers.

Therefore, this table represents a linear function.

Option (4) will be the answer.

The type of function represented in the table is linear.

Given the table in the picture is,

x              y             1st difference

0            -7                     -  

1             -2               -2 - (-7) = 5

2             3                3 - (-2) = 5

3             8                8 - (3) = 5

4             13               13 - 8 = 5

5             18               18 - 13 = 5

There is a common difference of 5 between every consecutive number.

The term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

Therefore, this table represents a linear function.

Option (4) will be the answer.

To learn more about the linear function visit:

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Answer:

-65536

Step-by-step explanation:

-1*4^8

Answer:

-65536

Step-by-step explanation:

Answer:

The base salary is $1,400

Step-by-step explanation:

Here, we are interested in calculating the base salary.

Now let’s picture his earnings as this, a base salary of let’s say $x and a percentage of y% of total sales as commission.

So let’s move!

For the month of march, his earnings is calculated as follows;

x + (y/100 * 15,800) = 2427

so we have;

x + 158y = 2427 •••••••(i)

For the month of April, we have

x + (y/100 * 21,100) = 2771.5

x + 211y = 2771.5 ••••••(ii)

So we have two equations to solve simultaneously.

We can easily get y by subtracting equation i from ii

That would be ;

(211y-158y) = 2771.5-2427

53y = 344.5

y = 344.5/53

y = 6.5%

So we can now get the base salary by substituting the value of y in any of the equations. Let’s use the first

x + 158(6.5) = 2427

x + 1027 = 2427

x = 2427-1027

x = $1,400

Answer:

(3, 4)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

Just plug in the coordinates as variables to find your answer:

(2 + 4)/2 = 3

(4 + 4)/2 = 4

Answer:

Common ratio, r=-3

Recursive Formula

[tex]f(n)=-3f(n-1),$ $n\geq 2\\f(1)=-\dfrac{1}{9},[/tex]

Step-by-step explanation:

The formula for the geometric sequence: [tex]-\dfrac{1}{9} ,\dfrac{1}{3}, -1,3,-9,\cdots[/tex] is given as:

[tex]f(x)=-\dfrac{1}{9}(-3)^{x-1}[/tex]

Common Ratio

Dividing the next terms by the previous terms, we obtain:

[tex]\dfrac{1}{3} \div -\dfrac{1}{9} = \dfrac{1}{3} \times -9 =-3\\3 \div -1 =-3\\-9 \div 3 =-3[/tex]

Therefore, the common ratio of the sequence, r=-3

Recursive Formula

We observe that the next term, [tex]f(n)[/tex] is obtained by the multiplication of the previous term. f(n-1) by -3.

Therefore, a recursive formula for the sequence is:

[tex]f(n)=-3f(n-1),$ $n\geq 2\\f(1)=-\dfrac{1}{9},[/tex]

Answer:

It is in fact B. −3; f(x + 1) = −3(f(x))

Step-by-step explanation:

If you have this question on Edge, go with this.

Step-by-step explanation:

2.(a) uniform speed = distance/ time

= ( 9×16) / 9

= 16 m/s

(b) 19-10 = 9s

(c) 16×9 = 144m

(d) rate of change of speed

= (v-u)/ t

= ( 7-16)/ 6

= -3/2 m/s²

3.(a) uniform speed = distance/ time

= ( 12×20 ) / 12

= 20 m/s

(b) 22-10 = 12s

(c) (12×20) + 1/2(20+60)(18)

= 240+720

= 960m

(d) acceleration

= (v-u)/ t

= ( 60-20 ) / 18

= 20/9 m/² or 2.22 m/s²

Answer:

147.3°

Step-by-step explanation:

Step 1: Find the sum of all interior angles

180(n - 2)

n = 11

180(11 - 2)

180(9)

1620°

Step 2: Find 1 angle

1620/11 = 147.273°

Answer:

144 or 140

Step-by-step explanation:

If you meant round to the nearest ten it would be 140

Hey there! :)

Answer:

a) 32 sticks.

b) 5n + 2 sticks.

Step-by-step explanation:

Solve this by finding the pattern.

Pattern # 1 = 7 sticks.

Pattern #2 = 12 sticks

Pattern #3 = 17 sticks.

We can see an increase of 5 sticks within each. We can use this to write an equation:

f(n) = 7 + 5(n-1)

***Where n is the term number

You can simplify the equation to become:

f(n) = 7 + 5n - 5

f(n) = 5n + 2.

Use this equation to solve for pattern # 6:

f(6) = 7 + 5(n-1)

f(6) = 7 + 5(5)

f(6) = 7 + 25

f(6) = 32.

Answer:

Step-by-step explanation:

subtract 3 from each

8-3≤3-5z-3<12-3

or 5≤-5z<9

divide by 5

5/5 ≤ -5z/5<9/5

or 1≤-z<1.8

multiply by -1

-1 ≥z>-1.8

or -1.8≤z<-1

Answer:

  -1 ≥ z > -1.8

Step-by-step explanation:

Maybe you want to find the solution set.

__

Subtract 3 from the inequality:

  5 ≤ -5z < 9

Divide by -5:

  -1 ≥ z > -1.8

_____

Personally, I like to write these with the inequality symbols pointing to the left. That way, the elements of the expression are in number-line order.

  -1.8 < z ≤ -1

Answer:

Step-by-step explanation:

LX ^2=30^2+16^2=900+256=1156

LX=✓1156=34m

LZ=40-14=26m

ZY=2pi*14/4=22/7*7=22m

YN=30-14=16m

NX=24m

P=34+26+22+16+24=122 m

Answer:

[tex]11^{-10}[/tex]

Step-by-step explanation:

When you divide exponents, you subtract their powers:

-5 - 5 = -10

[tex]11^{-10}[/tex]

Answer:

4/6 or 66%

Step-by-step explanation:

Odd numbers from 1 to  6 are: 1, 3, 5

Numbers less than 4 are: 1, 2, 3

So there are  4/ 6 possible outcomes.

So the probability is 4/6 or 66%.

Answer:

√3 * 5 = 5√3 cm

Step-by-step explanation:

→ ABCDEFGH is a cube.

→ CF = Diagonal of cube.

→ CH = Diagonal of Base Face BCDH.

→ Let the side of Each cube = a.

Than,

in Right ∆CFH, By Pythagoras Theoram, we have,

→ CH² + FH² = CF² --------- Equation (1)

and, Similarly, in Right ∆CDH ,

→ CD² + DH² = CH² ------- Equation (2).

Putting Value of Equation (2) in Equation (1), we get,

→ (CD² + DH²) + FH² = CF²

→ a² + a² + a² = CF²

→ CF² = 3a²

→ CF = √3a .

Hence, we can say That Diagonal of a cube is √3 times of its sides.

__________________

Given:-

Side of cube = 5cm.

So,

→ Diagonal of cube = √3 * 5 = 5√3 cm. (Ans.)

Answer:

290 m³

Step-by-step explanation:

Volume of the composite figure can be calculated by using the formula for volume of a rectangular prism to calculate, separately, the volume of the top prism, then volume of the prism beneath, before summing both volumes together.

Volume of rectangular prism = width (w) × height (h) × length (l)

==>The prism on top has:

l = 3m

w = 8-3 = 5m

h = 6m

Volume (V1) = 3*5*6 = 90m³

==>The prism beneath has:

l = 8m

w = 5m

h = 5m

Volume (V2) = 8*5*5 = 200m³

Volume of the composite figure = V1 + V2 = 90+200 = 290 m³

Answer:

No more than 8.8 lb

Step-by-step explanation:

21.2 + w ≤ 30

Subtract 21.2 from each side

w ≤ 8.8

Lorrie can add no more than 8.8 lb.

Answer:

no more then 8.8

Step-by-step explanation:

tell me if i am right or wrong plz

Answer:

6 chapters per hour

Step-by-step explanation:

36 chapters divided by 6 hours equals 6 chapters per hour.

Answer:

6

Step-by-step explanation:

36 devide by 6=6

Answer:

According to the pythagorean theorem, a^2 + b^2 =c^2

c signifies the hypotenuse

a and b are the two legs

the sum of the two legs squared measures will equal the measure of the hypotenuse squared.

Step-by-step explanation:

Answer:

16 units

Step-by-step explanation:

Chords AC and DB intersect at H and:

AH =20-x

HB=12-x

DH=x + 4

HC=x.

Using the theorem of intersecting chords

AH X HC = DH X HB

[tex]x(20-x)=(x+4)(12-x)\\20x-x^2=12x-x^2+48-4x\\20x=8x+48\\20x-8x=48\\12x=48\\x=4[/tex]

Therefore:

DB = DH +HB

=x+4+12-x

=4+4+12-4

=16 Units

Answer:

The answer is C on Edge 2020

Step-by-step explanation:

I did the Exam

Answer:

m∠x = 63

m∠y = 45

m∠z = 72

Answer:

m∠x = 63

m∠y = 45

m∠z = 72

Step-by-step explanation:

plato

Answer:

40

Step-by-step explanation:

The angles stay the same but, the position of the triangle changes.

Hope this helps,

kavitha

Answer: A’ = 40ᴼ

Step-by-step explanation:

The angles are congruent and add to equal 180ᴼ

A = 40ᴼ

The measure of A stays the same when the angles are rotated

Answer:

(B) It has the same slope and a different y-intercept

Step-by-step explanation:

The table is presented below:

[tex]\left|\begin{array}{c|c}x&y\\----&---\\-\frac{2}{3} &-\frac{3}{4}\\\\-\frac{1}{6}&-\frac{9}{16}\\\\\frac{1}{3}&-\frac{3}{8}\\\\\frac{5}{6}&-\frac{3}{16}\end{array}\right|[/tex]

Gradient

[tex]m=\dfrac{-\frac{3}{8}-(-\frac{3}{4})}{\frac{1}{3}-(-\frac{2}{3})}\\=\dfrac{-\frac{3}{8}+\frac{3}{4}}{\frac{1}{3}+\frac{2}{3}}\\=\frac{3}{8}\div \frac{3}{3}\\m=\frac{3}{8}[/tex]

Next, we determine its y-intercept

Using the pair [tex](-\frac{2}{3},-\frac{3}{4})[/tex] in y=mx+b

[tex]-\frac{3}{4}=(\frac{3}{8})(-\frac{2}{3})+b\\-\frac{3}{4}+\frac{1}{4}=b\\b=-\frac{1}{2}[/tex]

Comparing with the linear function has an x-intercept of 12 and a slope of [tex]\frac{3}{8}[/tex], we find out that It has the same slope and a different y-intercept.

Option B is the correct option.

Answer:

B

It has the same slope and a different y-intercept

Step-by-step explanation:

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The place value of 2 in 425.3 is tens of 20.

The value a digit in a number represents based on where it is in the number is known as place value. The place value of 7, for instance, is 700 or 7 hundred.

Given digit:

425.3

Write the number as shown below,

425.3 = 400 + 20 + 5 + 0.3

As you can see, the 2 is attached to the tens place,

Therefore, the place value of 2 in 425.3 is tens of 20.

To know more about place value:

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Answer:

3x+4

Step-by-step explanation:

The perimeter is given by

P = 2 ( l+w)

We know the perimeter is  8x+8

8x+8 = 2 ( l+w)

Divide each side by 2

4x+4 = l+w

The width is x

4x+4 = l+x

Subtract x from each side

4x+4-x = l+x-x

3x+4 = l

The length is 3x+4

Answer:

Hey there!

Total marbles= 5+2+3=10

Green marbles= 3

3/10=30%

Hope this helps :)

Answer:

[tex]\frac{17}{13}[/tex]

Step-by-step explanation:

Given

tan x = [tex]\frac{5}{12}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]

5 and 12 are the legs of a 5- 12- 13 right triangle with hypotenuse 13, thus

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{5}{13}[/tex]

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{12}{13}[/tex]

Thus

sin x + cos x = [tex]\frac{5}{13}[/tex] + [tex]\frac{12}{13}[/tex] = [tex]\frac{17}{13}[/tex]

Answer:

$959.69 per oz

Step-by-step explanation:

A gold alloy is produced from pure gold and alloy.

10 oz of pure gold costs $1,288 per ounce

55 oz of alloy costs $900 per ounce

The first step is to add the cost of both the pure gold and alloy together

= (10 oz × $1288)+(55 oz × $900)

= $12,880+$49,500

= $62,380

Therefore the cost per ounce can be calculated as follows

= $62,380/10 oz + 55 oz

= $62,380/65 oz

= $959.69 per oz.

Hence the cost per ounce of the gold alloy is $959.69 per ounce

Answer:

The answer is option A.

∆BDC is a right angled triangle

Angles in a triangle add up to 180°

That's

z + 35 + 90 = 180°

z = 180 - 35 - 90

z = 55°

Alternate angles are equal

Angle DBC = Angle BDA

That's

35 = 7y

Divide both sides by 7

y = 5

y = 5 z = 55

Hope this helps you

Answer:

The answer is option B.

Hope this helps you

Answer:

trapezoids

Step-by-step explanation:

i know i can delete rectangles and square, but rhombuses and parallelogram don't really have in common so the answer is trapezoids.

is quite easy 4th grade math

hope this helped :)