Travis was attempting to make muffins to take to a neighbor. The recipe that he was working with required ¾ cup of sugar and ⅛ cup of butter. Travis accidentally put a whole cup of butter in the mix. What amount of sugar does Travis need to put into the mix to have the same ratio of sugar to butter that the original recipe calls for?

Answer:

So your answer is  d = -1/4 = -0.250

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    6*d-11/2-(2*d-13/2)=0

           13

Simplify   ——

           2

        11            13

 (6d -  ——) -  (2d -  ——)  = 0

        2             2

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

          2d     2d • 2

    2d =  ——  =  ——————

          1        2  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2d • 2 - (13)     4d - 13

—————————————  =  ———————

      2              2  

        11     (4d - 13)

 (6d -  ——) -  —————————  = 0

        2          2    

           11

Simplify   ——

           2

4.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

          6d     6d • 2

    6d =  ——  =  ——————

          1        2  

4.2       Adding up the two equivalent fractions

6d • 2 - (11)     12d - 11

—————————————  =  ————————

      2              2    

5.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(12d-11) - ((4d-13))     8d + 2

————————————————————  =  ——————

         2                 2  

6.1     Pull out like factors :

  8d + 2  =   2 • (4d + 1)

 4d + 1  = 0

 4d + 1  = 0

7.1      Solve  :    4d+1 = 0

Subtract  1  from both sides of the equation :

                     4d = -1

Divide both sides of the equation by 4:

                    d = -1/4 = -0.250

Answer:

d = -1/4 = -0.250

Step-by-step explanation:

Answer:   £ 81.38

Step-by-step explanation:

Given: On Monday,

5 builders took [tex]3\dfrac{1}{2}[/tex] hours  ( i.e. [tex]\dfrac{7}{2}[/tex] hours )  to build a wall.

On Tuesday, only 2 builders were available.

As workers are inversely proportional to the time if the job remains constant.

Inverse variation equation : [tex]x_1y_1=x_2y_2[/tex]

Let x be the time taken by 2 builders, then

[tex]2\times x =5\times \dfrac{7}{2}[/tex]

[tex]\Rightarrow\ x=\dfrac{35}{2}\times\dfrac{1}{2}=\dfrac{35}{4}=8.75[/tex]

So, 2 builders will take 8.75 hours.

Each paid  £9.30 for each hour.

Then, each builder will be paid for the work completed on Tuesday = £9.30 x  8.75

≈ £ 81.38

Hence, each builder will be paid £ 81.38 for the work completed on Tuesday .

Answer: The number one occurs 300 times while writing the numbers from 1 to 999.

Step-by-step explanation:

Answer:

40% spent. 60% left.

Step-by-step explanation:

To find the percentage spent, divide the two values, then multiply by 100.

$32 / $80 = 0.40    0.40 x 100 = 40% spent.

To find the percentage of money left, subtract the two values.

$80 -$32 = $48

Then, divide the two values and multiply by 100.

$48 / $80 = 0.60   0.60 x 100 = 60% left.

Answer:

B. 120°

Step-by-step explanation:

If two tangents intersect in the exterior of a circle, then the measure of the angle formed is one half the difference of the measures of the intercepted arcs.

m∠A° = 1/2(300 - 60)

m∠A° = 1/2(240)

m∠A° = 120

Answer:

The percentage of  volumes that are within 3 standard deviation of the mean is 99.73%.

Step-by-step explanation:

We want to calculate the area under the curve within 3 standard deviations from the mean.

If we use the standard normal distribution, this probability can be calculated as the diference between P(z<3) and P(z<-3).

[tex]P(-3<X<3)=P(z<3)-P(z<-3)\\\\P(-3<X<3)=0.9987-0.0013=0.9973[/tex]

The area under the curve for the standard distribution and for any normal distribution within 3 standard deviation from the mean is 0.9973.

The percentage of  volumes that are within 3 standard deviation of the mean is 99.73%.

Answer:

The answer is A.)  A=1/2(Pa)

Step-by-step explanation:

The area of a regular polygon with perimeter 'P' and apothem length 'a' is [tex]\frac{1}{2}Pa[/tex]    .

A polygon is a two-dimensional geometrical figure that has 'n' number of equal sides.

Given, the perimeter of the regular polygon is 'P'.

Apothem length of the polygon is 'a'.

Therefore, the area of a regular polygon is

[tex]= \frac{1}{2}Pa[/tex]

Learn more about a regular polygon here: https://brainly.com/question/4442699

#SPJ2

Answer:

520

Step-by-step explanation:

65 blocks multiplied by 8 houses per block

Answer:

C.

Step-by-step explanation:

add up all of the angles correct ft im not sure but i think its C.

Answer:

Question 8 should be 25.6 hours

Step-by-step explanation:

Since time = distance/speed.

We just replace the words with the appropriate numbers.

time =

[tex] \frac{ 3.84 \times {10}^{5} }{1.5 \times {10}^{4} } [/tex]

which equals 25.6

Answer:

260% of 420=1092

166 2/3%of 60= 100

Answer:

The graph of the function f( (1/2)x ) will expand across x-axis

Step-by-step explanation:

We have been given the function:

f(x) = x⁴

If we substitute x = (1/2)x into the given equation, we get:

f((1/2)x) = ( (1/2)x )⁴

We can simplify the equation

f((1/2)x) = = (1/2)⁴ x⁴

f((1/2)x) = = (1/16) x⁴

Graph of both of the functions is shown below. We can clearly see that that the graph of the function f((1/2)x) = = (1/16) x⁴ expands horizontally on x-axis as compared to the graph of f(x) = x⁴

Answer: 0, −5, 4

Step-by-step explanation:

The given function is

[tex]f(x)=x^3+x^2-20x[/tex]

One of the zero of the given polynomial function is x=0.

To find other zeroes put f(x)=0

[tex]x^3 + x^2 - 20x=0\\\\\Rightarrow\ x(x^2+x-20)=0\ \ \ [\text{Taking x as common}][/tex]

That is

[tex]x^2+x-20=0[/tex] or [tex]x=0[/tex]

if [tex]x^2+x-20=0[/tex]

then [tex]x^2+5x-4x-20=0\ \ \ [\text{By using middle term splitting method}][/tex]

[tex]\Rightarrow\ x(x+5)-4(x+5)=0\\\\\Rightarrow\ (x+5)(x-4)=0\\\\\Rightarrow\ x=-5, 4[/tex]

So, the zeroes of f(x) are 0, −5, 4 .

Hence, the correct option is 0, −5, 4.

Answer:

[tex](x+10)^2-186[/tex]

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]a_{1}=-16\\c.d. d=-7-(-16)=-7+16=9\\a_{n}=a_{n-1}+d\\a_{n}=a_{n-1}+9[/tex]

Answer:

a1=-16

an=an-1+9

Step-by-step explanation:

This is for clarification for the person above who probably made it confusing for some people

Remember, the letter doesnt matter, because everyones test is in a different order.

Answer:

300 degrees

Step-by-step explanation:

we know that [tex]\pi = 360 degrees[/tex][tex]\pi = 360 \ degrees[/tex]

we have to find value of [tex]5\pi /6[/tex]

for that we have to multiply 5/6 to [tex]\pi[/tex] and 360 degrees

[tex]\pi = 360 \ degrees\\5\pi /6 = 5/6 *360 = 300[/tex]

Thus,  [tex]5\pi /6[/tex] = 300 degrees.

Answer:

150

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

The first decimal place is 3, the digit after that is 7 which is more or equal to 5. So add +1 to the 3, followed by zeros.

2.37 ⇒ 2.40

Answer:

x = 135

Step-by-step explanation:

Use the right triangle altitude theorem and similar triangles.

x/81 = 225/x

x^2 = 81 * 225

x = 9 * 15

x = 135

Answer:

135

Step-by-step explanation:

Answer:

41°

Step-by-step explanation:

Looking at the attached diagram

A central angle of a circle is always congruent to its intercepted arc.

Therefore, m arc BC = m∠BZC

Again, m∠BAC is one-half m arc BC, as the measure of an inscribed angle is half the measure of its intercepted arc.

This gives us the following results:

= m∠BZC = 82°

= m arc BC = m∠BZC

= m arc BC = 82°

= m∠BAC = 1/2 × 82°

= m∠BAC = 41°

Note that:

∠DCA ≅ ∠BAC because alternate interior angles are congruent.

So m∠DCA = m∠BAC.

Hence, m∠DCA = 41°.

Answer:

double: 1%

year6%

6 year: 36%

Step-by-step explanation:

Answer: Ok for the second one because I don't really get the wording in the first one (thats cuz i SUCK at vocabulary) the answer is 756,100 and a number greater is any number from 756,073-756,149

Step-by-step explanation:

ok so 756072 rounds to 756100 because 72 is closer to 100 than it is to 0

from 50 on, you would round up so to round up to 756100 the smallest possible number is 756050 since the 50 will round up

the highest number is 756149 because from 50 onwards it will round to 756200 instead.

so you can choose any number from 756050-756149

Answer:

=434.86

Step-by-step explanation:

The radius = 4.7cm

this means that using the equation that is given (V=4/

3πr^3)

add the radius where it says r

it also says you are allowed to use a calculator so put the equation into your calculator to give you the answer.

i hope this helped :)

Answer:

volume of sphere is 4 thirds pie r squared. Google it!

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

last three questions are statistical question

Answer:

The last three questions

Step-by-step explanation:

Answer:

1) x+12.7=-25.2 is given

2)x+12.7-12.7=-25.2-12.7 is the subtraction property of equality(subtracting on both sides)

3)x+0=-37.9(add. inverse/simplification since we're simplifying the equation)

x=-37.9(identity property of addition since x+0 is just x)

Hope this helps!

Answer:

3 1/2 (in fraction form but 11.2... something) hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

Basic Proportionality Theorem: Basic Proportionality Theorem states that "If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio".

Hence, KN/MN=KO/OL.......by bpt

i.e.= 3/9=2/OL

18/3=OL

6feet =OL

answer is b)6feet

pls mark brainliest if it helps

(i) AB and DC are parallel, so the lines containing these sides have the same slope.

The line containing AB has slope (2 - (-1))/(10 - 4) = 3/6 = 1/2.

Use the point-slope formula to find the equation of the line containing CD:

[tex]y-8=\dfrac12(x-12)\implies y=\dfrac x2+2\implies\boxed{2y=x+4}[/tex]

AP is perpendicular to both AB and CD, and perpendicular lines have slopes that are negative reciprocals of one another. This means the line containing AP has slope -1/(1/2) = -2. Using the point-slope formula again, the equation of the line containing AP is

[tex]y-(-1) = -2(x-4)\implies \boxed{y=-2x+7}[/tex]

(ii) D lies on the x axis, so its y-coordinate is 0. Find the x-coordinate by plugging y = 0 into the equation for the line containing CD:

[tex]2\cdot0=x+4\implies x=-4[/tex]

So D is the point (-4, 0).

P is the intersection of the lines containing CD and AP, so set them equal and solve for x and y :

[tex]y=\dfrac x2+2\text{ and }y=-2x+7[/tex]

[tex]\implies\dfrac x2+2=-2x+7\implies 5x=10\implies x=2[/tex]

[tex]\implies y=-2\cdot2+7\implies y=3[/tex]

So P is the point (2, 3).

(iii) For ASBC to be a parallelogram, we need to find the coordinates of S such that the line containing AS is parallel to the line containing BC, and the line containing SC is parallel to the line containing AB.

BC has slope (8 - 2)/(12 - 10) = 6/2 = 3. Then the line containing AS has equation

[tex]y-(-1)=3(x-4)\implies y=3x-13[/tex]

We already know AB has slope 1/2. Then the line containing SC has equation

[tex]y-8=\dfrac12(x-12)\implies y=\dfrac x2+2[/tex]

S is the intersection of these two lines:

[tex]3x-13=\dfrac x2+2\implies\dfrac{5x}2=15\implies5x=30\implies x=6[/tex]

[tex]\implies y=3\cdot6-13\implies y=5[/tex]

So S is the point (6, 5), and *not* (2, -7) as the answer key suggests. In fact, (2, -7) is located lower than the point A and slightly to the left; if you draw that point and connect it to the other three, there's no way to get a parallelogram.

(iv) Find the lengths of AB, CD, and AP. Then the area is (AB + CD)*AP/2.

[tex]AB=\sqrt{(4-10)^2+(-1-2)^2}=3\sqrt5[/tex]

[tex]CD=\sqrt{(12-(-4))^2+(8-0)^2}=8\sqrt5[/tex]

[tex]AP=\sqrt{(4-2)^2+(-1-3)^2}=2\sqrt5[/tex]

so the area is

[tex]\dfrac{(3\sqrt5+8\sqrt5)2\sqrt5}2=\boxed{55}[/tex]