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Explain how to solve the equation and how to check the solution. 40 = Sy​

Answer:

Literally any even number that’s not two or four

Step-by-step explanation:

I need a layout

Answer:

ELHLADOE

Step-by-step explanation:

The number of ways using permutation and combination of ice cream is = 4*6*14 ways.

The distinctive methods of arranging a set of items right into a sequential order are termed Permutations. one of the several methods of choosing items from a massive set of gadgets, without thinking about an order is termed a mixture.

mixture and permutation are extraordinary methods of grouping elements of a set into subsets. In aggregate, the factors of the subset may be listed in any order. In a permutation, the elements of the subset are indexed in a particular order.

explanation:

using multiplication rule of probability.

=The number of choices is 4 cones

= The number of choices of flavour = 6

= The number of choices topping = 14

Hence total combination is = 4*6*14

336.

A permutation is a mathematical calculation of the variety of approaches a selected set can be organized, wherein the order of the arrangement topics.

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Answer:

D = 120 Degrees ,  E : x = 14 , F: <JHK = 21, G: Summplementary Angle is 96 Degrees

Step-by-step explanation:

4X+2X = 180

6X=180

X=30

<ABD = 4X = 4(30) = 120

(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

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Answer: 2/3-6=9 is equal to = − 2(2x+6)

Answer:

x = 45 over 2  or  22.5

Step-by-step explanation:

Answer:

The two numbers are 494 and 504

Step-by-step explanation:

Let x = one of the numbers

Let y = the other number

x + y = 998

x - y = 10   or x = y + 10

Substitute y + 10 for x in the first equation and solve for y

x + y = 998

y + 10 + y = 998  Subtract 10 from both sides

y + y = 988  Combine like terms

2y = 988  Divide both sides by 2

y = 494

One of the numbers is 494.

x = y + 10  Substitute 494 for y

x = 494 + 10

x = 504

The other number is 504.

Check:

x + y = 998

504 + 494 = 998

998 = 998 checks

x - y = 10

504 - 494 = 10

10 = 10 checks

Helping in the name of Jesus.

Answer:

b. 9

Step-by-step explanation:

we use cosine since the given information is for adjcent and hypotenuse

cos(degree) = adj. / hyp.

cos(53°) = x / 15

Multiply both side by 15 to get x alone

cos(53°)  *15 = x / 15 *15

x = 15cos(53°)

x = 9.02722

USING SIN TO CHECK WORK:

Total degree of a triangle = 180°

we have 2, 53 and 90

53 + y + 90 = 180      y = 37°

to use sine, the information needed is opposite and hypotenuse

sin(degree) = opp. / hyp.

sin(37°) = x / 15

Multiply both side by 15 to get x alone

sin(37°)  *15 = x / 15 *15

x = 15sin(37°)

x = 9.02722

THEY MATCH!!!

Hope this helps, Let me know if you have any questions !

The question states:

Notice that the angle for which its measure is arctan(a/b), is the angle that has "a" as the oposite side, and "b" as the adjacent side , so it is the angle on the bottom right of the triangle.

Then the cosine of that angle, is defined as:

cos(angle) = adjacent/hypotenuse = b / squareroot( a^2+b^2)

which agrees with answer D in the list of possible answers given.

The zeros of the polynomial function are x = -1 and x = 5

From the question, we have the following parameters that can be used in our computation:

y = x⁴ - 4x³ - 4x² - 4x - 5

To calculate the zeros of the polynomial function, we create a graph of the polynomial

The point where the graph intersect with the x-axis are the zeros of the polynomial function

using the above as a guide, we have the following:

Zeros: x = -1 and x = 5

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To solve the calculation

You have to pay attention to the order of operations.

Operations follow always the same order:

1. Parentheses

2. Exponents

3. Multiplication/ Division

4. Addition/ Subtraction

And the direction you have to solve them is always from left to right, so if you, for example, have to multiply three numbers:

Is the same operation, so you have to solve it from left to right, that means, multiply the first two digits first, and then multiply the result by the third digit.

For the given calculation you have a multiplication "3*3" and then addition. Following the order of operations, you have to solve the multiplication first, and then the addition as follows:

1) Multiply 3*3

2) Add both values

So the result of the given calculation is

Answer:

(No rounding done.)

1. 10

2. 14.1421

3. 8

4. 6.9282

Step-by-step explanation:

To find 1, you need to use tangent. Let's say the missing side is x. You need to use tan(45) = x/10 to be able to solve. If you don't know how to do that, you just need to multiply by 10 on both sides, that way the 10 cancels out and all you get is x. Tan(45) multiplied by 10 is 10.

Now, find 2 with sine. The equation is sin(45) = 10/x. First, you need to multiply both sides by x so you get 10 alone. Now, divide both sides by sin(45) to cancel out the left side and get the answer to 2. 10/sin(45) = 14.1421 (I don't know if you need to round).

To find 3, you need to use cosine. The equation would be cos(60) = 4/x. Again, multiply both sides by x to get 4 alone. Next, divide both sides by cos(60). 4/cos(60) is 8.

To find 4, you need to use sine again. The equation is sin(60) = x/8. Multiply both sides by 8, and there's your answer. 6.9282.

Answer:

6/10, simplified 3/5

Step-by-step explanation:

kinda tricky, but the fraction is stated right out.

Answer:

3/5

Step-by-step explanation:

1. 76.56.

2. 96

3. The largest solution to the equation x²+16x+28=138 is 6.71.

4. The smallest solution to the equation x²+14x+14=145 is 5.96.

Equations are used to express relationships between variables and solve mathematical problems.

1. This is calculated by taking the coefficient of x (19) and dividing it by two (19/2) and then squaring the result (19/2)² = 76.56.

2. This is calculated by taking the coefficient of x (30) and dividing it by two (30/2) and then squaring the result (30/2)² = 96.

3. This is calculated by using the quadratic formula, by taking the opposite of the coefficient of x (16) plus or minus the square root of the coefficient of x squared (16²) minus 4 times the coefficient of the x term (4x16) minus the constant (28) divided by 2 times the coefficient of the x term (2x16).

4.  This is calculated by using the quadratic formula, by taking the opposite of the coefficient of x (14) plus or minus the square root of the coefficient of x squared (14²) minus 4 times the coefficient of the x term (4x14) minus the constant (14) divided by 2 times the coefficient of the x term (2x14).

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1.  For the given equation, c need to be 90.25 to complete the square.

2. 225

3. The largest solution to the equation x²+16x+28=138 is 6.

4. The smallest solution to the equation x²+14x+14=145 is -14.

Equations are used to express relationships between variables and solve mathematical problems.

1. This is calculated by taking the coefficient of x (19) and dividing it by two (19/2) and then squaring the result

(19/2)² = 90.25.

2. This is calculated by taking the coefficient of x (30) and dividing it by two which is (30/2) and then squaring the result

(30/2)² = 225.

3. The largest solution to the equation x²+16x+28=138 is 6.

This can be calculated by using the quadratic formula to solve the equation.

(a=1, b=16, c=28)

x = -8 ± √((16)² - 4(1)(28))/2(1).

x = -8 ± √(240)/2

x = 6 or -14.

Since 6 is the larger solution, it is the largest solution to the equation.

4.  The smallest solution for x2+14x+14=145 can be determined by using the Quadratic Formula.

a=1, b=14, and c=14

x = [-14 ± √(142-4(1)(14))]/(2(1))

x = [-14 ± √(196)]/2

x = [-28/2] or [14/2]

x = -14 or 7

Therefore, the smallest solution for x2+14x+14=145 is x=-14.

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\(_6C_3=\dfrac{6!}{3!3!}=\dfrac{4\cdot5\cdot6}{2\cdot3}=20\)

Answer:

Diameter = 8 ft

Step-by-step explanation:

To find diameter, we need to work backwards from the formula for circumference of a circle.

Circumference = 2πr

given that π = 3.14

Circumference = 2*3.14*r

25.12 = 2*3.14*r

25.12 = 6.28 * r

4 = r

Radius = 4

Formula for Diameter =

D = 2r

D = 2*4

D = 8

Diameter = 8

Lets Check

Circumference = 2 * 3.14 * 4

Circumference = 25.12

Correct

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

2.67 hours

Step-by-step explanation:

Diana: 15 cookies per hour

Jamie: 7.5 cookies per hour

15 + 7.5 = 22.5

22.5 cookies per hour

\(\frac{60}{22.5} =\frac{y}{1}\)

22.5 · y = 60 · 1

22.5y = 60

22.5y ÷ 22.5 = 60 ÷ 22.5

\(y=2\frac{2}{3}\)

\(2\frac{2}{3}\)  rounded to the nearest hundredth is 2.67

Answer:

Step-by-step explanation:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,144,233,377,610,987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, ... Can you figure out the next few numbers?

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Answer:

Step-by-step explanation:

If the large Jar is $4.10 for 540g

and  small jar  $2.81 for 360 g

You need to show how much it cost for 1 g,so you can compare how much it cost per gram. You would divide the total cost by the grams to see how much it is for 1 g.

Large jar.   $4.10/540 = $.0076  for 1 gram

Small Jar.   $2.81/360 =$.0078 for 1 gram

Because the large jar is cheaper to buy per gram, the large jar is the best value for the money.

Answer:

x=30,F=1260,y=6

Step-by-step explanation:

is what your looking for

10×10=100

there is 100 pencils in total

Answer:

p = 31.19%

Step-by-step explanation:

Proportions and Percentages

A proportion is calculated as a division between two numbers. The result can be given as a decimal or as a percentage.

If we want to calculate the percent of a number N with respect to another number M, the formula is:

\(\displaystyle p=\frac{N}{M}*100\%\)

Eli had some performances when playing baseball. Struck out 25 times in 75 times at bat, 30 times in 100 at-bats, and 37 times in 120 at-bats.

The total struck outs were: N= 25+30+37=92 and the total at-bats were: 75+100+120=295. The proportion of strikeout ber at-bats is:

\(\displaystyle p=\frac{92}{295}*100\%\)

p = 31.19%

Answer:

Let A bc the first number

Let B be the second number

Let C be the third number

A= b+6

C= 3a

Step-by-step explanation:

Hope this helps :) Have a great day!!!!

Answer:

15 Days

Step-by-step explanation:

Formula:

M1D1H1=M2D2H2

Using common factor method, sum of the given expressions is 17.14m + 9.37

what is common factor ?

In mathematics, a common factor is a factor that two or more numbers have in common. For example, the numbers 12 and 18 have common factors of 1, 2, 3, and 6. The greatest common factor (GCF) is the largest number that divides evenly into two or more numbers.

In algebra, we often use the term "common factor" when referring to expressions. When two or more algebraic expressions have a factor in common, we can use the distributive property to factor out the common factor.

According to the question:
To add the expressions (5.19+4m)+(4.18+3.95m), we can first group the like terms:

(5.19 + 4.18) + (4m + 3.95m)

9.37 + 7.95m

So, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = 9.37 + 7.95m

Now, we can use the distributive property to factor out a common factor of m from 7.95m:

9.37 + 7.95m = 4m + (5.19 + 7.95)m

We can factor out a common factor of 1 from (5.19 + 7.95)m:

4m + (5.19 + 7.95)m = (4 + 5.19 + 7.95)m

Adding the coefficients, we get:

4 + 5.19 + 7.95 = 17.14

Therefore, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = (4m+5.19)+(3.95m+4.18)= 17.14m + 9.37.

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Answer:

volume of sphere=4/3πr³=4/3×3.14×6²=164.16cm³

Answer:

16 and 25

Step-by-step explanation:

list perfect square numbers from 1 to 10

1, 4,9,16,25,36,49,64,81,100

looking at the list, 2 numbers he could be thinking of are 16 and 25

Answer:

Let r = amount of the 7% solution

y represent the amount of the 15 percent solution

r =7.5 L

y = 12.5 L

Step-by-step explanation:

Let r = amount of the 7% solution

y represent the amount of the 15 percent solution

.07r + .15 y = (r+y) .12

r+y = 20

y = 20-r

.07r + .15 (20-r) = (20) .12

0.07r+0.15(20-r)=2.4

.07r+ 3 - .15r = 2.4

-.08r = 2.4-3

-.08r = -.6

Divide by-.08

r =7.5

y = 20-7.5

y = 12.5