If I did 57 jumping jacks in 1 minute how long would it take to do 100 jumping jacks

Answer: x= -1 y= 4

Step-by-step explanation:

We are going to solve this using substitution.

Here is the work...

5x+3(4)=7

That is what it woud look like because y is equal to 4.

3 times 4 is 12.

So now we have...

5x+12=7

Now we want to get All the common factors together...

To do this we will subtract 12 from 7 and we get -5.

Here is our equation now...

5x=-5

Now we divide x by 5 to get x alone, but we also divide -5 by 5.

x=-1

Now all we have to do to solve for y is put x in an equation.

In this case here is what we will do...

5(-1)+3y=7

Multiply...

-5+3y=7

Now we need to get the common factors together so lets add 5 to 7.

3y=12

3y/3=y

12/3=y

y=4

But that is already in your problem...OOF.Dont worry its still correct.

To solve the system, substitute y=4 into the first equation, leading to x=-1. Thus, the solution is x=-1 and y=4.

To solve the system of equations 5x + 3y = 7 and y = 4, we can start by substituting the value of y from the second equation into the first equation. We are given y directly, so the substitution is straightforward.

Substituting y = 4 into the first equation:

So, the solution to the system of equations is x = -1 and y = 4. We can say that x and y are variables, and in this case, y is dependent on x in other linear equations but is given directly here.

Answer:

8x-6

Step-by-step explanation:

The solution set is (7,3).

Step-by-step explanation:

Given system of equations is;

3x−2y=15     Eqn 1

y=2x−11        Eqn 2

Substituting value of y from Eqn 2 in Eqn 1

[tex]3x-2(2x-11)=15\\3x-4x+22=15\\-x+22-15=0\\7=x\\x=7[/tex]

Putting x=7 in Eqn 2

[tex]y=2(7)-11\\y=14-11\\y=3[/tex]

The solution set is (7,3).

Keywords: linear equation, substitution method

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Answer:

$6

Step-by-step explanation:

9 tubes of paint costs

$70 - $16 = $54

1 tube of paint cost

$54 : 9 = $6

The first number is 8

Solution:

Let the first number be "x"

The second number is 6 times the first

Second number = 6x

The third number is 15 less than the second

Third number = second number - 15

Third number = 6x - 15

The sum of three numbers is 89

Therefore,

First number + second number + third number = 89

[tex]x + 6x + 6x - 15 = 89\\\\13x - 15 = 89\\\\13x = 89+15\\\\13x = 104\\\\Divide\ both\ sides\ by\ 13\\\\x = 8[/tex]

Thus the first number is 8

Answer:

A

Step-by-step explanation:

Consider Δ JKL and Δ GDF

If the ratios of corresponding sides are equal then the triangles are similar.

[tex]\frac{JK}{GD}[/tex] = [tex]\frac{24}{20}[/tex] = [tex]\frac{6}{5}[/tex]

[tex]\frac{xJL}{GF}[/tex] = [tex]\frac{18}{15}[/tex] = [tex]\frac{6}{5}[/tex]

[tex]\frac{KL}{DF}[/tex] = [tex]\frac{12}{10}[/tex] = [tex]\frac{6}{5}[/tex]

Since the ratios are equal then Δ JKL and Δ GDF are similar by SSS postulate.

Answer:

7D

Step-by-step explanation:

2D + 5D

Add the figures

Answer:

Step-by-step explanation:

Area of the figure is 532 m².

Solution:

In the given image the shape is splitted into 2 shapes.

First shape is the square.

In square 4 sides are equal.

Area of the square = side × side

                               = 18 m × 18 m

Area of the square = 324 m²

Second shape is the triangle in the bottom.

Base of the triangle = 18 m + 8 m = 26 m

Height of the triangle = 16 m

Area of the triangle = [tex]\frac{1}{2}\times{\text{base}}\times{\text{height}}[/tex]

                                 [tex]$=\frac{1}{2}\times16\times26[/tex]

Area of the triangle = 208 m²

Area of the given shape = area of the square + area of the triangle

                                         = 324 m² + 208 m²

Area of the given shape = 532 m²

Hence area of the figure is 532 m².

Answer: 532 is answer

Hope u get a good grade

Answer:

i cant solve it for you but i will tell you how to do it

Step-by-step explanation:

You add them all up from least to greatest on a piece of paper then use your two fingers starting from the least and the greatest and go down the line if you get more than 1 number you must add them both up and divide by 2.

Question:

Which equation can be solved by using this system of equations?

y = 3x^3 - 7x^2 + 5

y = 7x^4 + 2x

A.) 3x^3 - 7x^2 +5 = 0

B.) 3x^3 - 7x^2 + 5 = 7x^4 +2x

C.) 7x^4 +2x = 0

D.) 7x^4 +3x^3 -7x^2 +2x + 5 = 0

Answer:

Option B: [tex]3x^{3} -7x^{2} +5=7x^{4} +2x[/tex] is used to solve this system of equations.

Explanation:

The two equations are [tex]y=$3 x^{3}-7 x^{2}+5$[/tex] and [tex]y=$7 x^{4}+2 x$[/tex]

Using substitution method, let us substitute [tex]y=$7 x^{4}+2 x$[/tex] in the equation [tex]y=$3 x^{3}-7 x^{2}+5$[/tex], we get,

[tex]3x^{3} -7x^{2} +5=7x^{4} +2x[/tex]

Thus,  [tex]3x^{3} -7x^{2} +5=7x^{4} +2x[/tex] is used to solve this system of equations.

Hence, Option B is the correct answer.

Answer:

Answer is B. 3x^3-7x^2+5 = 7x^4+2x

Step-by-step explanation:

got it right!

hope this helps

Answer:

427 feet.

Step-by-step explanation:

We can start off by making 12 1/2 to an improper fraction:

12 1/2 = 25/2

Divide the large jar of salsa by the small jar of salsa: 75 /  25/2.

Reciprocal of second and turn divide to multiply:

75 * 2/25.

150/25 =  6.

So 6 jars of small salsa = 1 large jar of salsa.

Answer: 10

Step-by-step explanation:

2 * 4 = 8

8/2 = 4

2 * 2 = 4

4/2 = 2

4 + 2 = 6

2 * 2 = 4

4 + 6 = 10

Answer:

z ÷ 3 + z

Step-by-step explanation:

Answer:

[tex]m=\frac{1}{ab}[/tex]

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

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

we have the points

(a,1/b) and (b,1/a)

substitute

[tex]m=\frac{1/a-1/b}{b-a}[/tex]

[tex]m=\frac{\frac{b-a}{ab}}{b-a}[/tex]

[tex]m=\frac{1}{ab}[/tex]

The slope of the line joining the points (a,1/b) and (b,1/a) is calculated using the slope formula and is found to be 1 divided by the product of a and b, assuming a and b are not equal and neither is zero.

To find the slope of the line joining the points with coordinates (a,1/b) and (b,1/a), we use the slope formula, which is the change in y divided by the change in x. We can write the formula as:

slope (m) = (y2 - y1) / (x2 - x1)

Substituting the given points into the formula gives us:

slope (m) = (1/a - 1/b) / (b - a)

If we assume that a does not equal b and neither a nor b is zero, the slope can be calculated by simplifying the numerator and the denominator:

slope (m) = ((b - a) / (ab)) / (b - a)

The (b - a) terms cancel out, leaving us with:

slope (m) = 1 / (ab)

Therefore, the slope of the line is the reciprocal of the product of a and b.

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Answer:

0.2

Step-by-step explanation:

Answer: .2

Step-by-step explanation:

If the question was 25 divided by 5 it'll be 5 but because it's 5 divided by 25 the answer came out as a deciamal.

.2 can also mean it is 2/10 or maybe 20%

Answer:

look at the picture shown

Answer:

Yes, you can

Step-by-step explanation:

The standard form of the equation of a parabola is [tex]y=ax^2+bx+c[/tex]

When given three points, you substitute each point into the equation to obtain 3 simultaneous linear equations.

You then solve the three equations simultaneously to find the values of the constants a,b, and c.

You then substitute these constants into [tex]y=ax^2+bx+c[/tex]

36 teaspoons. since the number of quarts is multiplied by 3, multiply the number of teaspoons as well. 12 × 3 = 36

[tex]21+7.50p\leq 52[/tex]

For inequalities, "a is no more than b" can be written as:

[tex]a\leq b[/tex]

Here we know Candace that can spend no more than $52 before tax. She can spend a certain amount of money in both Dark Roast coffee and Morning Blend coffee. So she spends:

Therefore:

Amount of money for Morning Blend coffee:

[tex]2\times 10.50=\$21[/tex]

Amount of money for Dark Roast coffee:

[tex]p\times 7.50=\$7.50p[/tex]

So the total amount of money:

[tex]21+7.50p[/tex]

Finally, the inequality becomes:

[tex]21+7.50p\leq 52[/tex]

Besides, in order to know how many pounds she can spend let's solve for p:

[tex]7.50p\leq 52-21 \\ \\ 7.50p\leq 31 \\ \\ p\leq 4.13[/tex]

So she can spend less that 4.13 pounds.

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Final answer:

The correct inequality to determine the possible values for the number of pounds of Dark Roast coffee, p, along with 2 pounds of Morning Blend coffee for $52 or less is 9p + 15.10 ≤ 52. This inequality can be used to solve for p, the number of pounds of Dark Roast coffee Candace can buy which is p ≤ 4.1.

Explanation:

Calculator Candace wants to determine the number of pounds of Dark Roast coffee, represented as p, she can buy if she purchases 2 pounds of Morning Blend coffee for a total of $52 or less. The price of the Morning Blend coffee is $7.55 per pound. To calculate this, we need to create an inequality that represents the scenario:

Now, the inequality will consider the total price of the Morning Blend coffee and add the price of the Dark Roast coffee (which is $9.00 per pound). So the inequality should look like this:

9p + 15.10 ≤ 52

This inequality can be used to solve for p, the number of pounds of Dark Roast coffee Candace can buy which is p≤4.1.

Answer:

817 ---- 800

368 ---- 400

1,451 ---- 1500

Answer:

40.43 Kilometers

Explanation:

19.16, 13, 8.27

19.16 + 13 + 8.27

= 40.43

Final answer:

The total distance Kira ran during the three days is the sum of the individual distances she ran on each day, which is 40.43 kilometers.

Explanation:

The total distance Kira ran on the three days is the sum of the distances she ran on each day. To find the total distance, you simply need to add up the three individual distances.

Add the first distance: 19.16 km

Add the second distance: 13 km

Add the third distance: 8.27 km

Calculate the sum: 19.16 km + 13 km + 8.27 km = 40.43 km

Therefore, the total distance Kira ran during the three days is 40.43 kilometers.

Answer:

15.7

Step-by-step explanation:

8 1/5= 8.2

4 2/5= 4.4

3 3/10= 3.1

4.4 + 3.1 = 7.5

7.5 + 8.2 = 15.7

Answer:

Step-by-step explanation:

Combine fractions with similar denominators

81/5 + 42/5 + 33/10

Add 81 and 42

123/5 + 33/10

To write 123/5 as a fraction with a common denominator, multiply by 2/2

123/5 >2/2 + 33/10

Write each expression witha common denominator of 10

123 . 2/10 + 33/10

Common numerator over denominator

123 . 2 + 33/10

Simplify

279/10

Thus answer = 279/10 0r 27.9

Answer:

B

Step-by-step explanation

multiply 2 and 6 by 9

Answer:

its b

Step-by-step explanation:

The expression '6a + 3' consists of two terms: '6a' and '3'. In mathematical expressions, terms are separated by addition or subtraction operations.

The expression given, 6a + 3, is a mathematical expression that involves operations of addition and multiplication. In this expression, there are two terms separated by a plus sign. To clarify, a term refers to the separated parts of an expression when it is written as a sum or difference. This expression contains one numerical value (3) and one algebraic term (6a).

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Answer:

14.2 squared units

Step-by-step explanation:

Always draw a diagram for the question. Capital letters are usually angles, and their opposite side is the same letter as a lowercase. (See diagram) The opposite side of angle B is side b.

The formula for area of a triangle is A = bh/2

"A" is for area.

"b" is for base (usually bottom side)

"h" is for height (perpendicular to base).

We know the measurement for the base c = 7.1. We need to find the height.

Notice when you draw in the height, it form two right triangles. We can use trigonometric ratios for right triangles.

Remember the trigonometric ratios using SohCahToa:

sinθ = opposite/hypotenuse;

cosθ = adjacent/hypotenuse and;

tanθ = opposite/adjacent, where θ means the angle of reference.

Focus on the triangle on the left side. We know one angle (∠B = 80°) and one side (a = 4.1). We can find "h", the missing side.

Since ∠B is our angle of reference, "h" is opposite. Since "a" is a longest side, it's the hypotenuse. Use the sine ratio because it uses the opposite and hypotenuse sides.

sinθ = opp/hyp             General sine ratio formula

sinB = h/a                  Variables you use in this problem

sin80° = h/4.1               Isolate "h". Multiply both sides by 4.1

h = 4.1(sin80°)                 Multiply with calculator

h = 4.1(0.98480775...)         Unrounded sin80

h = 4.03771178...                 Round this number

Note the number of decimal places given in the question.

h ≈ 4.0                Round to one decimal place

Now we can use the formula for the area of a triangle.

A = bh/2           Don't confuse side "b" with the base in this question

A = (7.1)(4.0)/2           Simplify the division

A = (7.1)(2.0)                   Multiply

A = 14.2                     Final answer for area

Since we don't know what the units are, you can say the answer is:

A = 14.2u²  or  14.2 squared units

Answer:

4

Step-by-step explanation:

Root(48)/Root(3)

= root(48/3)

= root(16)

=4