1) A bread recipe contains 60g of butter, 40g of salt and 100g of flour.

a) What percentage of the ingredients are salt and flour?

Answer:

b

Step-by-step explanation:

Answer:  " 5.1 " .
____________

Step-by-step explanation:
____________

To find 1 percent (i.e. " 1% " )  of:  510 ;

Note:  1 %  = (1 /100) = (1 ÷ 100) ;

Note the following about "dividing by "100" ;

  We take the number:  "510" in our case;
  and move the decimal point "2 (two) places backward" .
We move it "backward" (instead of "forward") because we are "dividing" ;

and we are moving the decimal point "2 (two)" spaces backward; since we are dividing by "100" ; which has "2 (two) zeros" .
  So:   " (510.) ÷ 100 " ;
               

      Take:  " 510." ; and move the decimal point two (2) spaces backward:
                         5.10.
                             ↩

    To get: " 5.10 " ;  which we can simplify as:
             →  " 5.1 " ; which is our answer.

Hope this is helpful to you!  Wishing you well!
____________

Answer:

32.5 hours

Step-by-step explanation:

Total hours

6.5 x 5

32.5 hours

1 kilometer = 1000 meters

5000 meters / 1000 = 5 kilometers

5 kilometers x 2 times per day = 10 kilometers per day.

answer: D) 10 kilometers

Answer:

8%

Step-by-step explanation:

assume simple interest rate = r

interest = 1000 * 4 * r = 320

r = 320/4000 = 0.08 = 8%

Answer:

The bigger angle is 57 degrees

The smaller angle is 33 degrees

Step-by-step explanation:

complimentary is that two angles will add up to 90 degrees

Lets say one angle is x, and the other is y.

the smaller angle is x, so it is be x-24degrees

x+(x-24)=90

2x=114

x=57 degrees

y=33degrees

Answer:

y = x/3 +5

Step-by-step explanation:

Step1 : finding the slope

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

(3,6) and (−3,4)

m = [tex]\frac{4-6}{-3-3}[/tex]

m = 1/3

Solving for the equation

y-y1 = m(x-x1) , (3,6)

y-6 = 1/3(x-3)

y = x/3 -1 +6

y = x/3 +5

The value of a, when the geometric mean of two numbers a and 12 is 8√6 is equal to the number 32.

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

For Geometric sequence, the value of  geometric mean can be found out using the following formula,

[tex]x=\sqrt{ab}[/tex]

Here, (a and b) are the two terms of geometric sequence.

The geometric mean of a and 12 is 8√6. Thus,

[tex]x=8\sqrt{6}[/tex]

[tex]b=12[/tex]

Put this value in formula to find the value of a,

[tex]8\sqrt{6}=\sqrt{a\times12}\\[/tex]

Square both side of equation,

[tex](8\sqrt{6})^2=(\sqrt{a\times12})^2\\64\times6=12a\\a=\dfrac{64\times6}{12}\\a=32[/tex]

Thus, the value of a, when the geometric mean of two numbers a and 12 is 8√6 is equal to the number 32.

Learn more about the geometric sequence here;

https://brainly.com/question/1509142

#SPJ1

Answer:

  (a) higher by 0.25%

Step-by-step explanation:

The error in the estimate is found by comparing the estimated rate to the actual rate.

__

The rate of estimated closing costs is ...

  (estimated cost)/(home cost) × 100% = 6375/170000×100% = 3.75%

The actual rate is 4.00%.

  actual - estimate = 4.00% -3.75% = 0.25%

The actual closing costs were higher than the estimate by 0.25%.

Answer:

612 centimeters = 612 : 10 = 61,2 decimeters

Answer:

180

Step-by-step explanation:

First, we have to find out how many boys are in the school:

900 * 0.30 = 270

Now, we know that there are 270 boys. Out of these boys we need to find out how many boys have glasses:

270 * 0.40 = 108

180 is our answer.

Answer:

A. 90°

Step-by-step explanation:

A perpendicular on a straight line creates 2 right angles.

We know the value of a right angle is 90°.

Hence :

∠2 = 90°

Answer:

864.

Step-by-step explanation:

1) the required volume can be calculated according to the formula (see also the attachment):

V=Area(BKS)*height;

2) if to see the triangle ABC (see the attachment), then m∠C=90°; m∠A=30° and m∠B=60°;

3) the length of AC=BC*cot(m∠A)=2√3*√3=6 [cm];

4) if AC=6 [cm], then BS=36-2*BC=24 [cm];

5) in the equilateral triangle BKS BS=BK=KS=24 [cm], then the Area(BKS)=BS²√3/4=144√3 [cm²];

6) if the height is 2√3 [cm] and Area(BKS)=144√3 [cm²], then

V=144√3*2√3=864 [cm³].

Explanation:

By definition, the floor is assumed to be level and that means the floor is at a 0 degree angle. The shelf must also have this same angle relative to the floor so we have the shelf and floor as parallel planes. For more info, check out the converse of the corresponding angles theorem.

Answer:

Step-by-step explanation:

f(x) = x/(x-7)

The domain is C

7/(7-7) = 7/0 = undefined

Answer: 475 Add 5 more.

Step-by-step explanation:

Answer:

Simplified answer = C = $0.65m + $24.65

Step-by-step explanation:

Add the two initial charges together (from the insurance and the standard charge) and you get $24.65.  Then add the two charges together for each mile which is $0.65 per mile.  Therefore, the total charge on the car is $24.65 + 65 cents every mile driven.

Answer:

[tex]4.25-\sqrt{3}.[/tex]

Step-by-step explanation:

1) tan45=1; sin60=√3/2; cot30=√3; sec45=√2, then

2) 3-0.75-√3+2=4.25-√3 (it is ≈2.5179492).

Step-by-step explanation:

the error:

it is stated that

[tex]\frac{5x}{x+7} +\frac{7}{x} = \frac{5x}{x+7} +\frac{7(7)}{x+7}[/tex]

subtract (5x)/(x+7) from both sides

[tex]\frac{7}{x} = \frac{7(7)}{x+7}[/tex]

multiply both sides by x + 7

7(x+7) = 49x

7x + 49 = 49x

subtract 7x from both sides to isolate x and its coefficient

49 = 42x

thus, this is only true when 49 = 42x. in order for these two equations to be equal, they must always be true, so this is wrong

the solution:

we want to express 7/x as (something) / (x+7). to do this, we can multiply 7/x  by 1.

anything divided by itself = 1. thus, if we multiply both the numerator and the denominator by something that turns x into (x+7), we can do what we want to do.

(x+7)/x * x turns x into (x+7), so we multiply both the numerator and denominator by (x+7)/x to get

[tex]\frac{7}{x} = \frac{7(x+7)/x}{x+7}[/tex]

substitute this for 7/x in our original problem

[tex]\frac{5x}{x+7} +\frac{7(x+7)/x}{x+7} = \frac{5x}{x+7} +\frac{(7x+49)/x}{x+7} = \frac{5x}{x+7} +\frac{7+49/x}{x+7} = \frac{5x+7+49/x}{x+7}[/tex]

The value of the given expression in terms of s will be [(s + 0.602)/3].

Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.

If [tex]\log(16) = s[/tex]

Then the value of the given expression in terms of s is given below.

[tex]\dfrac{2}{3} \times \log(6400) - \dfrac{1}{3} \times \log(1600)[/tex]

We know the property of the logarithm.

[tex]\log 100 = 2[/tex]

Then we have

[tex]\rm \rightarrow \dfrac{2}{3} \times \log(6400) - \dfrac{1}{3} \times \log(1600)\\\\\\\rightarrow \dfrac{2}{3} \times ( \log 16 + \log 4 + \log 100 ) - \dfrac{1}{3} \times (\log 16 + \log 100)\\\\\\\rightarrow \dfrac{2}{3} \times (s + 0.602+2) - \dfrac{1}{3} \times (s + 2)\\\\\\\rightarrow \dfrac{2}{3} \times (s + 2.602 ) - \dfrac{1}{3} \times (s + 2)\\\\\\\rightarrow \dfrac{2 (s + 2.602) - (s - 2)}{3} \\\\\\\rightarrow \dfrac{s + 0.602}{3}[/tex]

More about the logarithm link is given below.

https://brainly.com/question/7302008

#SPJ1

Answer:

84

Step-by-step explanation:

Plug in 9 for k.

5(9)(2) - 6

first: (9)(2) = 9 x 2 = 18

5(18) - 6

second: 5(18) = 5 x 18 = 90

last: 90 - 6 = ?

84

hope this helps

3 1/2 = 7/2

7/2 ÷ 1/4

7/2 × 4/1

14/2

7 pieces

hope it helps...!!!

The perimeter of the polygon of sides as 9/2, 17/2, 52/5, 52/5, 64/5, 59/4 is 1227 /20.

The perimeter of the polygon is the measure of the sum of the sides of the given figure.

The sides are given as 9/2, 17/2, 52/5, 52/5, 64/5, 59/4

The perimeter of the polygon = 9/2 + 17/2 + 52/5 + 52/5 + 64/5 + 59/4

                                                  = 26/2 + 168/5 + 59/4

                                                  = 111/4 + 168/5

                                                  = 555 + 672 / 20

                                                  = 1227 /20

Thus, The perimeter of the polygon is 1227 /20.

Learn more about perimeter here;

https://brainly.com/question/6465134

#SPJ1

Answer:

S = $76 and P = $236

Step-by-step explanation:

Let the sodas be S and the patties P. So

4S + 6P = 840  and 5S + 5P = 800

By substitution method we will have the solution

5S + 5P = 800

5S = 800 - 5P

S = 800 - 5P

          5

We'll sustitute S with this equation

4S + 6P = 840

[tex]4(\frac{800 - 5P}{5})[/tex] + 6P = 80

4(800 - 5P) + 6P(5) = 840

3200 - 20P + 30P = 840

-20P + 30P = 840 - 3200

10P = -2360

P = -2360

        10

P = -236

Since the cost of the patty can't be negative, P = $236

Now that we know the cost of the patty, we can calculate the cost of the soda

S = 800 - 5P

          5

S = 800 - 5(236)

             5

S = 800 - 1180

             5

S = -380

        5

S = -76

Here S can't be negative, so S = $76

Step-by-step explanation:

1 and 2 are negative

3 and 5 are none

4 and 6 are positive

A percentage is a way to describe a part of a whole. The amount of water in the bottle originally is 800 mm.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the water in the bottle at the very initial be x.

Given that after reduction the amount of water in the bottle is 120 millimetres, also, the water is reduced by 85%, therefore, the amount of water that will be in the bottle is 15% of the original.

Water in the bottle = 15% of x

120 mm = 0.15 × x

x = 800 mm

Hence, the amount of water in the bottle originally is 800 mm.

Learn more about Percentages:

https://brainly.com/question/6972121

#SPJ1

Answer:

[tex]-\dfrac{b^2}{16a^4}[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{(2a)^{-2}b^5}{-4a^2b^3}[/tex]

[tex]\textsf{Apply the exponent rule}\quad (ab)^c=a^c \cdot b^c:[/tex]

[tex]\implies \dfrac{2^{-2}a^{-2}b^5}{-4a^2b^3}[/tex]

Separate the variables:

[tex]\implies \dfrac{2^{-2}}{-4}\cdot \dfrac{a^{-2}}{a^2}\cdot \dfrac{b^5}{b^3}[/tex]

[tex]\textsf{Apply the exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]

[tex]\implies \dfrac{2^{-2}}{-4}\cdot a^{-2-2}\cdot b^{5-3}[/tex]

[tex]\implies \dfrac{2^{-2}}{-4}\cdot a^{-4}\cdot b^{2}[/tex]

[tex]\textsf{Apply the exponent rule}\quad a^{-n}=\dfrac{1}{a^n}:[/tex]

[tex]\implies \dfrac{1}{-4(2^2)}\cdot \dfrac{1}{a^4}\cdot b^{2}[/tex]

[tex]\implies -\dfrac{1}{16}\cdot \dfrac{1}{a^4}\cdot b^{2}[/tex]

Simplify:

[tex]\implies -\dfrac{b^2}{16a^4}[/tex]