if line XZ is 2ft, line YZ=18in. what is the length of line XY

Answer:

The number (x) is 127.1

Step-by-step explanation:

4% of a number (x) is equal to;

31% of 16.4

i.e 0.04x = 5.084

x = [tex]\frac{5.084}{0.04}[/tex] = 127.1

The number (x) is 127.1

Answer:

x = 127.1

Step-by-step explanation:

Let x be the unknown number.

It is given that 4% of the number is 31% of 16.4

4% of x  = 31% of 16.4

[tex]x\times \dfrac{4}{100}=16.4\times \dfrac{31}{100}[/tex]

[tex]\dfrac{4x}{100}=\dfrac{508.4}{100}[/tex]

Multiply both sides by 100.

[tex]\dfrac{4x}{100}\times 100=\dfrac{508.4}{100}\times 100[/tex]

[tex]4x=508.4[/tex]

Divide both sides by 4.

[tex]x=\dfrac{508.4}{4}[/tex]

[tex]x=127.1[/tex]

Therefore, the unknown number is 127.1.

Choice C for problem 6 is correct. The two angles (65 and 25) add to 90 degrees, proving they are complementary angles.

===========================================

The answer to problem 7 is also choice C and here's why

To find the midpoint, we add up the x coordinates and divide by 2. The two points A(-5,3) and B(3,3) have x coordinates of -5 and 3 respectively. They add to -5+3 = -2 which cuts in half to get -1. This means C has to be the answer as it's the only choice with x = -1 as an x coordinate.

Let's keep going to find the y coordinate of the midpoint. The points A(-5,3) and B(3,3) have y coordinates of y = 3 and y = 3, they add to 3+3 = 6 which cuts in half to get 3. The midpoint has the same y coordinate as the other two points

So that is why the midpoint is (-1,3)

Answer:

0.0053285968

Step-by-step explanation:

i am not srry

Answer:

187 r 2

Step-by-step explanation:

563/3

3 into 5=1 r 2

bring down the 2

3 into 26= 8 r 2

bring down the 2

3 into 23=7 r 2

Answer:

4

Step-by-step explanation:

Answer:

It's 3/2p!

Step-by-step explanation:

Because Helen do the same number of exercises on 2 days, the time to do and the average rate are  inversely proportional!

So, if on Monday, Helen's average rate is p then on the next day, her average rate is:

p × 3 ÷ 2 = [tex]\frac{3p}{2}[/tex]

=3/2p

Brainliest?

Answer:

[tex]d =30g[/tex]

Step-by-step explanation:

Sam drives his car at a constant speed. He travels a distance (d) of 15 miles with 1/2 of a gallon of gas (g)

Distance d= 15

Gallons of gas (g)= 1/2

Equation is d= rg

Now plug in the values

15 = r* 1/2

Now we divide by 1/2 on both sides

[tex]r=\frac{15}{\frac{1}{2}}=15 * \frac{2}{1}= 30[/tex]

r=30

Now we replace the value of 'r' in the equation d=rg

[tex]d = 30g[/tex]

Answer:

The correct answer is for the given expression is -43.

Step-by-step explanation:

We are given the following expression and we are supposed to evaluate it:

[tex](-2)^2 + (-42) + (18 - 23)[/tex]

Solving the terms inside the brackets first, following the order of operations to solve a mathematical expression to get:

= 4 + (-42) + (-5)

Further adding and subtracting the terms to get:

= 4 - 42 - 5

= -38 - 5

= -43

Answer:

-17

Step-by-step explanation:

Evaluate the expression: (–2)^2 + (–4^2) + (18 – 23) = -17

Answer:

t=3

Step-by-step explanation:

Simplifying

5 + -1(t + 3) = -1 + 2(t + -3)   Reorder the terms:

5 + -1(3 + t) = -1 + 2(t + -3)

5 + (3 * -1 + t * -1) = -1 + 2(t + -3)

5 + (-3 + -1t) = -1 + 2(t + -3)

Combine like terms: 5 + -3 = 2

2 + -1t = -1 + 2(t + -3)

Reorder the terms:

2 + -1t = -1 + 2(-3 + t)

2 + -1t = -1 + (-3 * 2 + t * 2)

2 + -1t = -1 + (-6 + 2t)

Combine like terms: -1 + -6 = -7

2 + -1t = -7 + 2t

Solving

2 + -1t = -7 + 2t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-2t' to each side of the equation.

2 + -1t + -2t = -7 + 2t + -2t

Combine like terms: -1t + -2t = -3t

2 + -3t = -7 + 2t + -2t

Combine like terms: 2t + -2t = 0

2 + -3t = -7 + 0

2 + -3t = -7

Add '-2' to each side of the equation.

2 + -2 + -3t = -7 + -2

Combine like terms: 2 + -2 = 0

0 + -3t = -7 + -2

-3t = -7 + -2

Combine like terms: -7 + -2 = -9

-3t = -9

Divide each side by '-3'.

t = 3

Simplifying

t = 3

[tex]\left\{\begin{array}{ccc}y=5x-7\\-6x-4y=-24&\text{divide both sides by (-2)}\end{array}\right\\\left\{\begin{array}{ccc}y=5x-7&(*)\\3x+2y=12&(**)\end{array}\right\\\\\text{substitute }\ (*)\ \text{to}\ (**):\\\\3x+2(5x-7)=12\qquad\text{use distributive property}\\\\3x+(2)(5x)+(2)(-7)=12\\\\3x+10x-14=12\qquad\text{add 14 to both sides}\\\\13x=26\qquad\text{divide oth sides by 13}\\\\\boxed{x=2}\\\\\text{Put the vaalue of x to}\ (*):\\\\y=5(2)-7\\\\y=10-7\\\\\boxed{y=3}\\\\Answer:\ \boxed{x=2\ and\ y=3\to(2,\ 3)}[/tex]

Answer:

ax²+ bx + c = 0

Step-by-step explanation

Multiplying (x+4) and (x−1) together (called Expanding) gets x2 + 3x − 4 :

expand vs factor quadratic

So (x+4) and (x−1) are factors of x2 + 3x − 4

Just to be sure, let us check:

(x+4)(x−1)  = x(x−1) + 4(x−1)

 = x2 − x + 4x − 4

 = x2 + 3x − 4 yes

Yes, (x+4) and (x−1) are definitely factors of x2 + 3x − 4

To factorise a quadratic equation, express it in the standard form ax² + bx + c = 0, identify coefficients a, b, and c, and then apply the quadratic formula.

To factorise quadratics in their simplest form, you need to express them in the standard quadratic form, which is ax² + bx + c = 0. For example, if you are given the equation x² + 4x - 21 = 0, you should identify a = 1, b = 4, and c = -21. Then you can apply the quadratic formula:

'x' equals minus ‘b’, plus-or-minus the square root of ‘b’ squared minus four ‘a’ ‘c’, all over two 'a' (x = [tex]\frac{-b \pm \sqrt{b^2- 4ac} }{2a}[/tex])

If you are given an equation like 3x +3 + x² + x = 24, first rearrange it into the standard quadratic form by combining like terms. Use the quadratic formula if you cannot factor the quadratic easily.

Keep in mind that the quadratic formula can only be used if the equation is a true quadratic with powers confined to the second, first, and zeroth (constant term). If other powers or roots are present, then alternative methods must be used.

To find Plato's Algebra 1 answers, it's important to understand the principles of algebra, apply them to solve problems, and practice regularly. Seek help from tutors, textbooks, and online resources, and strive to understand the process, not just find the answers.

Finding answers to Plato's Algebra involves understanding the concepts and principles of Algebra, applying these to solve problems, and continuously practising. Consider seeking help from your teacher, using textbooks, online resources, and practicing more problems. Whatever resources you use, it's crucial to check your answers with a credible source. Remember, the goal is not only to find the answers but to understand how to solve different algebraic problems.

In Algebra 1, you will come across different topics such as equations, inequalities, functions, and graphing. Each topic requires understanding the fundamental concepts and practising the exercises.

For example, if you're solving a linear equation, it's important to know that what you do on one side of the = sign has to be done on the other side to maintain balance. With lots of practice, Algebra 1 will become easier to grasp.

https://brainly.com/question/34229762

#SPJ6

Answer:

Math

Step-by-step explanation:

Answer:

D. 51%

Step-by-step explanation:

Answer:

[tex]S_{10}[/tex] = - 30

Step-by-step explanation:

For a given arithmetic sequence the n th term formula is

[tex]t_{n}[/tex] = [tex]t_{1}[/tex] + (n - 1)d

where d is the common difference and [tex]t_{1}[/tex] the first term

We have to find d and [tex]t_{1}[/tex]

from the given information we can write 2 equations and solve for d and [tex]t_{1}[/tex]

[tex]t_{6}[/tex] = [tex]t_{1}[/tex] + 5d = - 4 → (1)

[tex]t_{10}[/tex] = [tex]t_{1}[/tex] + 9d = - 12 → (2)

subtract (1) from (2) term by term

4d = - 8 ⇒ d = - 2

substitute d = - 2 in (1)

[tex]t_{1}[/tex] - 10 = - 4 ⇒ [tex]t_{1}[/tex] = - 4 + 10 = 6

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex][2[tex]t_{1}[/tex] + (n - 1)d ], hence

[tex]S_{10}[/tex] = 5[(2 × 6) + (9 × - 2) ] = 5(12 - 18) = 5 × - 6 = - 30

Answer: vertical asymptotes: x = 2, x = -2

              horizontal asyptote: y = 3

Step-by-step explanation:

[tex]\dfrac{3x^2}{x^2-4}[/tex]

Vertical Asymptotes are the restrictions on "x", which is denoted by the denominator being unequal to zero.

x² - 4 = 0

(x + 2)(x - 2) = 0

x + 2 = 0      and       x - 2 = 0

     x = -2     and             x = -2

Horizontal Asymptotes are determined by the degree of the numerator (n) compared to the degree of the denominator (m) as follows:

In the given problem, the degree of both the numerator and denominator is 2 so horizontal asymptote is: [tex]y = \dfrac{3}{1} = 3[/tex]

Answer:

3 weeks, $45

Step-by-step explanation:

So we can make an equation!

55+5x=100-10x

So solving for x,

X=3

Final answer:

After solving the equations, Mindy and Sean will have the same amount of money, which is $70, after 3 weeks.

Explanation:

The question is about finding after how many weeks Mindy and Sean would have the same amount of money and how much that amount would be. Let's denote the number of weeks as w. For Mindy, who starts with $55 and saves $5 per week, her amount of money as a function of weeks is 55 + 5w. For Sean, who starts with $100 and spends $10 every week, his amount of money as a function of weeks is 100 - 10w.

To find out after how many weeks they would have the same amount of money, set the two expressions equal to each other:

55 + 5w = 100 - 10w

Add 10w to both sides and subtract 55 from both sides to solve for w:

15w = 45

Therefore, w = 45 / 15 = 3

To find out how much money they would have, substitute w = 3 into one of the original equations:

Mindy: 55 + 5(3) = 70

So, after 3 weeks, both Mindy and Sean will have $70

Answer:

y=  5x + 3

Step-by-step explanation:

This is because you solve for slope, which is 5, then plug that into point slope form to get:

y - 8 = 5(x - 1)

y - 8 = 5x - 5

y = 5x  + 3.

Answer:

y = 5x + 3

Step-by-step explanation:

Step 1. Find the slope

Each time x increases by 1 unit, y increases by 5 units.

m = slope = 5/1 = 5

Step 2. Find the y-intercept.

y = mx + b

When x = 4, y = 23.

23 = 5×4 + b

23 = 20 +b

 b = 3

y = 5x + 3

The graph is a straight line with slope m = 5 and a y-intercept at y = 3.

Answer:

50 dollars

Step-by-step explanation:

If you have a 20% discount,that means you pay for 80% of your items. So to find percent you make 80 percent 0.8 and then multiply by 62.50.

Answer:

$10

Step-by-step explanation:

You would multiply $62.50 by 20% or .2 to find the discount which is $10. If you need to find the sale price you would subtract $62.50 - $10 = $52.50.

Your discount amount is $10

Your Sale Price is $52.50

Answer: A swimming pool that is 5/10 full.

To find the diagonal of a door frame, use the Pythagorean theorem. Substitute the door's height and width into the formula, then find the square root of the sum. Round your answer to the nearest tenth.

To find the length of the diagonal of the door frame, we can use the Pythagorean theorem, which states that the square of the hypotenuse (the long side, or in this case, the diagonal) is equal to the sum of the squares of the other two sides (height and width of the door).

So, the formula becomes: Diagonal = √((Height)^2 + (Width)^2)

Substitute the given values of the height and width into the equation: Diagonal = √((80 inches)^2 + (36 inches)^2) = √(6400 + 1296) = √7696

The square root of 7696 is about 87.7 inches. So, the length of the diagonal of the door frame, rounded to the nearest tenth, is 87.7 inches.

https://brainly.com/question/28361847

#SPJ12

To calculate the length of the diagonal of the door frame, use the Pythagorean theorem by squaring the width and height, adding the squared values, and then taking the square root. The length of the diagonal is approximately 87.9 inches.

To calculate the length of the diagonal of the door frame, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the width and the height of the door frame form the legs of the right triangle, and the diagonal is the hypotenuse. Using the Pythagorean theorem, we can calculate the length of the diagonal as follows:

Therefore, the length of the diagonal of the door frame is approximately 87.9 inches, rounded to the nearest 10th.

https://brainly.com/question/28361847

#SPJ12

Answer:

y = (x + 9)² + 9

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

given a parabola in standard form : ax² + bx + c : a ≠ 0

the the x-coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = x² + 18x + 90 is in standard form

with a = 1, b= 18 and c = 90

[tex]x_{vertex}[/tex] = - [tex]\frac{18}{2}[/tex] = - 9

to find the corresponding y-coordinate substitute x = - 9 into the equation

y = (- 9)² + 18(- 9) + 90 = 81 - 162 + 90 = 9

⇒ y = (x + 9)² + 9 ← in vertex form

Answer: Try checking B

Step-by-step explanation:

Answer: lower right hand corner

In this corner is an expression that has "pi" in it that doesn't cancel out like it does in the upper left hand corner. The number pi is irrational because it cannot be written as a fraction of two whole numbers. We can sorta get close when we say 22/7 = 3.14129 but the more accurate version of pi is pi = 3.14159; however we cannot get an exact match.

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]4x+y>1[/tex] -----> inequality A

The solution of the inequality A is the shaded area above the dashed line

The equation of the dashed line is [tex]4x+y=1[/tex]

The slope of the dashed line is negative

The y-intercept of the dashed line is the point [tex](0,1)[/tex]

The x-intercept of the dashed line is the point [tex](0.25,0)[/tex]

[tex]y\leq \frac{3}{2}x+2[/tex] -----> inequality B  

The solution of the inequality B is the shaded area below the solid line

The equation of the solid line is [tex]y=\frac{3}{2}x+2[/tex]

The slope of the solid line is positive

The y-intercept of the solid line is the point [tex](0,2)[/tex]

The x-intercept of the solid line is the point [tex](-1.33,0)[/tex]

using a graphing tool

The graph in the attached figure

If ΔGJI and ΔPKH are similar, then ∡G≅∡P, ∡J≅∡K and ∡I≅∡H.

We have m∡G + m∡P = 50°, therefore m∡G = m∡P = 50° : 2 = 25°.

m∡I = 48° therefore m∡H = 48°.

We know, the sum of the measures of the angles of a triangle is equal 180°.

Therefore we have the equation:

m∡G + m∡J + m∡I = 180°

25° + m∡J + 48° =180°

73° + m∡J = 180°      subtract 73° from both sides

m∡J = 107° → m∡K = 107°.

The measures of all the angles of these triangles are: [tex]\rm 25^\circ,\;48^\circ\;and \; 107^\circ[/tex] and this can be determined by using the properties of the triangle.

Given :

Given that triangle GJI and triangle PKH are similar therefore:

[tex]\rm \angle G = \angle P[/tex]

[tex]\rm \angle J = \angle K[/tex]

[tex]\rm \angle I = \angle H[/tex]

The sum of the interior angles of the triangle is [tex]180^\circ[/tex].

[tex]\rm \angle G + \angle I + \angle J = 180^\circ[/tex]

[tex]\rm 25^\circ + 48^\circ + \angle J = 180^\circ[/tex]

[tex]\rm 73^\circ + \angle J = 180^\circ[/tex]

[tex]\rm \angle J = 107^\circ = \angle K[/tex]

The measures of all the angles of these triangles are: [tex]\rm 25^\circ,\;48^\circ\;and \; 107^\circ[/tex].

For more information, refer to the link given below:

https://brainly.com/question/10652623

Option B. 12/ 125  is the answer.

Explanation

Total umber of sour ball candies = 50

Number of lemon candies = 12

Hence the probability to get a lemon candy is = 12/50

Number of cherry sour balls = 20

So, the probability to get a cherry sour ball = 20/50

So, to get the joint probability for a random selection to either get a lemon or cherry candy, we will multiply both the probabilities.

[tex]\frac{12}{50}*\frac{20}{50}[/tex]

= [tex]\frac{12}{125}[/tex]

Answer:

Step-by-step explanation:

8

She will need 8 scoops for the recipe if the baker has 2 2/3 cups of flour for her recipe, but she only has a 1/3 cup scoop.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

A baker has 2 2/3 cups of flour for her recipe

2 2/3 = 8/3

She only has a 1/3 cup scoop.

Scoops she will need for the recipe = (8/3)/(1/3) = 8

Thus, she will need 8 scoops for the recipe if the baker has 2 2/3 cups of flour for her recipe, but she only has a 1/3 cup scoop.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Answer:

The money earned by Drea was [tex]\$225[/tex]

The money earned by Sajini was [tex]\$200[/tex]

Step-by-step explanation:

Let

x------> money earned by Drea

y------> money earned by Sajini

we know that

[tex]x+y=425[/tex] -----> equation A

[tex]x=y+25[/tex] ----> equation B

substitute equation B in equation A

[tex](y+25)+y=425[/tex]

solve for y

[tex]2y=425-25[/tex]

[tex]y=400/2=\$200[/tex]

Find the value of x

[tex]x=y+25[/tex] ----> [tex]x=200+25=\$225[/tex]

using a graphing tool

solve the system of equations

Remember that the solution of the system of equations is the intersection point both graphs

The intersection point is [tex](225,200)[/tex]

see the attached figure

Answer:

Drea: $225

Sajini: $200

Step-by-step explanation:

D + S = 425

D = S + 25

S + 25 + S = 425

2S = 400

S = 200

D = 200 + 25 = 225

Hello from MrBillDoesMath!

Answer:

Sum = -119,962                    ( I hope!)

Discussion:

Let's determine the pattern.

first term:  -3

2nd term:  (-3) * (-6) = 18                     (multiply first term by -6)

3rd  term:  (18) * (-6) = -108                 (multiply 2nd term by -6)

4th term :  (-108)*(-6) = 648                ( etc)

5th term :  (648)*(-6) =  -3888            (etc)

6th term :  (-3888)*(-6) = 23328         (etc)

7th term:   (23328)*(-6) =  -139967     (etc)

Sum = -119,962

A simpler way to do this is to use the formula for the sum of a geometric series to n terms. The series is

-3  Sum ( -6)^n                n = 0, 1, 2, 3, 4, 5, 6

Regards,  

MrB

P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!

Answer:

b is 63, not -63

Step-by-step explanation:

Answer:

-2 degrees per hour

-63 m

Step-by-step explanation:

Cooled means the temperature is decreasing

-14 degrees/7 hours

-2 degrees per hour

The total change in elevation will be a negative number

(-3*21) =

 -63 m