The method you used to help Kevin in parts F and G is called cross multiplication. It’s called cross multiplication because it involves multiplying the denominator of each fraction with the numerator on the opposite side of the equal sign. Now solve the equation 24(9) = 2x.

Answer:

x = 5

Step-by-step explanation:

Step 1: Write equation

-3/4 + 2/5x = 7/20x - 1/2

Step 2: Subtract 7/20x on both sides

-3/4 + 1/20x = -1/2

Step 3: Add 3/4 to both sides

1/20x = 1/4

Step 4: Divide 1/20 on both sides

x = 5

Answer: Answer: The answer is A,C,E

A: 2/5x = 7/20 x+ 1/4

C: -3/4 = -1/20 x -1/2

E: -3/4 + 1/20 x= -1/2

Answer:

25 students are in the class.

Step-by-step explanation:

There are 3/5 girls, and there are 10 boys, so there are 2/5 boys. 5/5 is the whole class, so here is how we would solve it: 2/5=10  3/5=15, 10+15=25.  Hope this helps!

Answer: 450

Step-by-step explanation:

971 = B + (T+71)

971-71 = 2 B

450 = B

Answer:

(D)[tex]3x+2 < -7$ or $3x+2 >7[/tex]

Step-by-step explanation:

Given the absolute inequality: [tex]|3x+2| >7[/tex]

When solving absolute inequalities, if the problem has a greater than sign we set up an "OR" compound inequality that looks like this:

Therefore, for the absolute inequality |3x+2| >7, we have:

[tex]3x+2 < -7$ or $3x+2 >7[/tex]

The correct option is D.

Answer:

answer is 1

Step-by-step explanation:

The scale factor of triangle ABC to triangle DEF is 1. Therefore, the correct answer is option D.

In the given triangle ABC, AB=5 units, BC=5 units and AC=5 units and in triangle DEF, DE=5 units, DF=5 units and EF=5 units.

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

So, the scale factor of ABC to DEF is

AB/DE = BC/EF = AC/DF = 5/5 = 1

Therefore, the correct answer is option D.

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Answer:

2 cm.

Step-by-step explanation:

The entire base is 10 cm and the top is 8 cm, so b is 10 - 8 = 2 cm.

Hope this helps!

I hope this helps you

b+8=10

b=2

Answer:

15, 36, 39

Step-by-step explanation:

Use the Pythagorean theorem.

a² + b² = c²

2² + 3² ≠ 13²

4² + 6² ≠ 10²

9² + 12² ≠ 18²

15² + 36² = 39²

Answer:

Step-by-step explanation:

[tex]Lets -test-using ;\\Pythagoras -Theorem=\\a^2+b^2=c^2\\\\(A.) 2,3,13\\2^2 +3^2 = 13^2\\13 = 169\\WRONG\\\\(B.) =4,6,10\\4^2+ 6^2 =10^2\\16+ 36 = 100\\52 = 100\\WRONG\\(C.) 9,12,18\\9^2+12^2=18^2\\225 = 324\\WRONG\\\\(D.) 15 , 36 ,39\\15^2 +36^2 = 39^2\\1521=1521\\\\CORRECT[/tex]

Answer:

%P = 8%

the percentage of fat in the mixture is 8%

Step-by-step explanation:

Given;

The percentage of fat in the mixture is;

%P = total mass of fat in mixture/total mass of mixture × 100%

%P = F/T × 100% ….....1

Mass of fat in mixture is;

She purchases 5 pounds of ground beef which is 15% fat

F1 = 15% of 5 pounds = 0.15×5 pounds

F1 = 0.75 pound

and combines it with 7 pounds of ground turkey which is only 3% fat

F2 = 3% of 7 pounds = 0.03 × 7

F2 = 0.21 pound

Total mass F = F1 + F2

F = 0.75+0.21

F = 0.96 pound

Total mass of mixture T = 5 + 7 pounds

T = 12 pounds.

From equation 1,

%P = F/T × 100%

%P = 0.96/12 × 100%

%P = 0.08×100%

%P = 8%

the percentage of fat in the mixture is 8%

Answer:

I think the answer is 33 I'm not sure but that is what I got

Answer:

2,5 and 6

Step-by-step explanation:

The answer is going to be option 2, 5 and 6 because the line touches -4,2 and 4 on the x axis. And these are the x values so that's why this is going to be the answer.

Hope this information helps you!

x=-2, x=-4, x=2 and x=4  values are within the domain of the function

A relation is a function if it has only One y-value for each x-value.

The domain of a function is the set of all possible inputs for the function.

If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.

x=2, x=4, x=5, x=-2, x=-4 are the values in domain

Hence, x=-2, x=-4, x=2 and x=4  values are within the domain of the function

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Answer:

[tex]x=\frac{139}{27}[/tex]

Step-by-step explanation:

-23(x+12)+23x=-54x+2

-23x-276+26x=-54+2

-276=-54x+2

54x=2+276

54x=278

[tex]x=\frac{139}{27}[/tex]

Answer:

Use mathaway <3

Step-by-step explanation:

Answer: B ¥58,110

Step-by-step explanation:

$1 = ¥116.22

$500 = ?

= 500 x 116.22

= 58,110

Answer:

B

Step-by-step explanation:

Answer:

b = 0

Step-by-step explanation:

To find the value of b, we will follow the steps below;

Using the distance formula:

D = √(x₂-x₁)² + (y₂-y₁)²

from the question given,

A (-3, b), this implies

(-3, b) = (x₁ ,y₁)

x₁=-3   and y₁ = b

similarly

B (1, 3)

(1, 3) = (x₂,y₂)

this implies

x₂ = 1    and  y₂=3

D= 5

we can now proceed to insert the values into the formula and then solve for b

D = √(x₂-x₁)² + (y₂-y₁)²

5 = √(1+3)² + (3-b)²

5 = √4² + (3-b)²

5=√16 + (3-b)²

take the squares of both-side of the equation

5² = 16 + (3-b)²

25 = 16 + (3-b)²

subtract 16 from both-side of the equation

25 - 16 = (3-b)²

9 = (3-b)²

Take the square root of both-side

√9 = 3-b

3 = 3-b

add b to both-side of the equation

3 + b = 3 - b+ b

3 + b = 3

subtract 3 from both-side of the equation

3+b-3 = 3-3

b = 0

Therefore, the value of b is 0

Answer:

B

Step-by-step explanation:

Correct if wrong

Answer:

She bought 3 pounds of apples.

Step-by-step explanation:

First we look at our given steps:

1 pound of apples=$1.79

total=$5.37

We need to divide her total by the cost per pounds of apples. So 5.37/1.79=3.

The number of pounds Anita purchased is 3.

Given: $1.79 per pound, spent $5.37 on apples

We must divide her aggregate by the cost per pound of apples.

Number of pounds = Total Spent / Amount per pound

Number of pounds = 5.37/1.79

Number of pounds = 3.

The number of pounds Anita purchased is 3.

Therefore, the number of pounds is 3.

The completed question is,

Anita purchased apples priced at $1.79 per pound at the grocery store. Her receipt shows that she spent $5.37 on apples. Type the correct answer in the box.

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Answer:

sin30° and cos60°

Step-by-step explanation:

We can see that we can use multiply trig identities to solve for r:

sin30° = r/20

r = 20sin30°

cos60° = r/20

r = 20cos60°

Answer:

[tex]3^{0} =1[/tex]

Step-by-step explanation:

Answer:

(7.5 , 5.5)

Step-by-step explanation:

The midpoint is halfway between the two end points:

Its x value is halfway between the two x values

Its y value is halfway between the two y values

To calculate it:

Add both "x" coordinates, divide by 2

Add both "y" coordinates, divide by 2

Answer:

Option (E)

Step-by-step explanation:

Expression given in the attachment,

[tex]x-\frac{15}{x}=2[/tex]

By multiplying with x on both the sides of the given equation,

x² - 15 = 2x

x² - 2x - 15 = 0

x² - 5x + 3x - 15 = 0

x(x - 5) + 3(x - 5) = 0

(x + 3)(x - 5) = 0

(x + 3) = 0

x = -3

And (x - 5) = 0

x = 5

Therefore, x = -3, 5 are the solutions of the given equation.

Option (E) will be the answer.

Answer:

-4<n≤5

If you are using another variable just replace it in.

The information in the number line is an interval (-4,5]

Interval Notation is a way of expressing a subset of real numbers by the numbers that bound them. We can use this notation to represent inequalities. We know an interval expressed as 1 < x < 5 denotes a set of numbers lying between 1 and 5 and it is represented as (1,5)

Given here, the line extends to -4 and ends at 5 but the it is open on the LHS and closed on the RHS and thus the interval notation is (-4,5]

Hence the interval represented in the number line is  (-4,5]

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Answer: 3

Step-by-step explanation:

Answer:

B. (7, 13/3)

Step-by-step explanation:

Since the graph doesn't show the intersecting point, we must use algebra to solve this (Substitution or elimination).

Step 1: Substitute y

1/3x + 2 = 4/3x - 5

Step 2: Isolate x

-x + 2 = -5

-x = -7

x = 7

Step 2: Find y using x

y = 1/3(7) + 2

y = 7/3 + 2

y = 13/3

Answer:

y = -7x + 499

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Step 1: Find slope m

m = (401 - 450)/(14 - 7)

m = -49/7

m = -7

y = -7x + b

Step 2: Find b

450 = -7(7) + b

450 = -49 + b

499 = b

Step 3: Rewrite equation

y = -7x + 499

Find the age of the mammal hide to the nearest

The answer is 3425.

Be safe!

-Eli

:))

An: The person above is wrong the answer is actually 2744.

Step-by-step explanation:

Answer:

Tn = Tn-1 + 2(n-1) + 5

Kindly note that Tn-1 means T subscript n-1

Step-by-step explanation:

Here, we want an expression for the nth term.

First term is 7

Then first common difference is 7

second common difference is 7 + 2

Third common difference is 9 + 2

So within the common differences, the nth term is 7 + (n-1) 2

Now, the nth term of the series would be;

Tn = Tn-1 + 7 + 2(n-1)

Tn = Tn-1 + 7 + 2n -2

Tn = Tn-1 + 2n + 5

Now there is a fix to this,

n for the term is not the same n for the common difference.

the 7th term works with the 6th common. difference, while the 8th term work for the 7th common difference.

So we might need to rewrite the final expression as follows;

Tn = Tn-1 + 2(n-1) + 5

Answer:

[tex] \pm \frac{3}{7} [/tex]

Step-by-step explanation:

[tex] \huge \sqrt{ \frac{9}{49} } = \pm \frac{3}{7} \\ [/tex]

Answer:

Step-by-step explanation:

To get from ABC to A'B'C', ABC is reflected across line m.

To get from ABC to A"B"C", ABC need to first be reflected across line m. Then, it needs to be rotated 90° clockwise to get to A"B"C".

I'm not exactly sure which one you were trying to get (so I just added both), because you said A'B'C",  instead of A'B'C' or A"B"C", but I really hope this answers your question!

The rule which describes the composition of transformations that maps ABC to A'B'C' is,

⇒ reflect across the line m.

We have to given that,

To find the rule which describes the composition of transformations that maps ABC to A'B'C'.

Here, The triangle ABC and it's image A'B'C' is shown in image.

Clearly, Image of triangle ABC is reflect across the line m.

Thus, the rule which describes the composition of transformations that maps ABC to A'B'C' is,

⇒ reflect across the line m.

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Answer:

The measure of angle XYZ will be 120° because the included arc of an inscribed angle will always be twice the measure of the inscribed angle

Answer:wrong. Its 249 degrees

Step-by-step explanation:

Just got it right on the quiz