An empty luggage case weighs three point five kilograms. Sarah is allowed to carry a total fifteen kilograms on the plane. How much weight can she fit in her luggage case?

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

The solution of the equation is (0,8)

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Given information-

The first equitation given in the problem is,

[tex]-5x+5y = 40[/tex]

Divide both side of the above equation with 5 as,

[tex]\dfrac{(-5x+5y )}{5}= \dfrac{40}{5}\\-x+y=8\\y=8+x[/tex]          .......1

Let the above equation as equitation 1.

The first equitation given in the problem is,

[tex]4x+ 3y = 24[/tex]

Put the value of y form the equation 1 in the above equation as,

[tex]\begin{aligned}4x+ 3(x+8) &= 24\\4x+ 3x+24 &= 24\\4x+ 3x &= 24-24\\7x&=0\\x&=0\\\end[/tex]

Put the value of x in the equation one as,

[tex]y=8+0\\y=8[/tex]          

Thus the solution of the equation is (0,8)

Learn more about the system of equations here;

https://brainly.com/question/13729904

Answer:

a. 8

Step-by-step explanation:

use Pythagorean theorem to find the missing side

a^2 + b^2 = c^2

15^2 + b^2 = 17^2

b= 8

Answer: It took her 8 hrs to get there.

Step-by-step explanation:

Answer:

2.3 equals 230%

Step-by-step explanation:

To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 2.3 × 100 = 230% (answer).

➥ The ease way:

1) Move the decimal point two places to the right: 2.3 → 23 → 230.

2) Add a % sign: 230%

Answer: 230%

Answer:

13.896 kg

Step-by-step explanation:

Hope this helps you!!!! :D

Answer:

C = 3.9 + 1.4n

Step-by-step explanation:

Answer:

c = 9

Explanation:

given: f(x)=3x-7

if f(c) =20

To solve this replace x with c and then y is 20.

Solve:

3c - 7 = 20

3c = 27

c = 27 ÷ 3

c = 9

Answer:  C = 9

Step-by-step explanation:

hope this helps

Answer:

i would say about $1.85

Step-by-step explanation:

There are 16 cups in one gallon and so you at 16+16 and you get 32 so you devide 59.20 by 32 and you get your answer. 1.85

Answer:

Around 8.5 hours.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The square in the lower left means the angle is 90

x + 68 + 90 = 180                All triangles have 180 degrees.

x + 158  = 180                      Subtract 158 from both sides

x = 180 - 158                       Combine

x = 22

Answer:

The pattern is min-zero-max-zero-min, which is the pattern for a cosine function of the form y = acos(x) + k, but is reflected over the x-axis (so a < 0).

The amplitude is |a|, so a = –1 and |a| = 1.

The midline is exactly between the max and the min, y = (6 + 8)/2 = 7, so k = 7.

The equation is y = –cos(x) + 7.

Step-by-step explanation:

answer on edge 2022

The given graph equation of the function is; y = -1cos(x) + 7 where a = -1 and k = 7

The given points to be plotted are;

(0,6), (π/2,7), (π, 8), (3π/2, 7) and (2π, 6a)

Now, If we graph these points, it is noticed that the function is a cosine function. Since the function does not pass through the origin, it means that it will have a y-intercept equal to 6.

The general equation for a cosine function is;

y = acos(x) + k

The midline is exactly between the maximum and the minimum point and so it is;

y = (6 + 8)/2

y = 7, so k = 7.

a is the amplitude and since it is reflected over the x-axis, then it means that a = -1. Thus;

y = -1cos(x) + 7

Read more about cosine functions at; https://brainly.com/question/13158551

Answer:

x = 3, T = 95°

Step-by-step explanation:

the sum of the interior angles of a four sided shape known as a quadrilateral is 360 degrees.

add all angles and equate to 360

95 + 75 + 30x + 5 + 30x + 5 = 360

collect like terms

180 + 60x = 360

subtract 180 on both sides

60x = 180

divide 60 on both sides

x = 3

the angle of T:

30x + 5

input x = 3

30(3) + 5 = 95 °

Answer: The answer is not 27 but it is 117

Step-by-step explanation: Trust me, you will be glad that you saw mine plus I just took the Quiz right now.

Linear equation is the equation in which the highest power of the unknown variable is one.

The given equation the constant 2000 represents the base salary or the fixed salary of the salesman.

To find that what does 2000 represent in the given linear equation we need to know about the linear equation.

Linear equation is the equation in which the highest power of the unknown variable is one.

Given information-

Total sales by salesman each month is [tex]s[/tex] dollars.

The total money made by the salesman each month by selling goods of [tex]s[/tex] dollars given by,

[tex]S=2000+0.1s[/tex]

The above equation given in the problem is the linear equation. In this linear equation the salary of salesman depends on his sales.

The constant amount of $2000 is the fixed amount of the salesman.

The variable [tex]s[/tex] is the variable on which the salary of the salesman depends. Thus due to this variable the salary of the salesman changes.

Hence in the given equation the constant 2000 represents the base salary or the fixed salary of the salesman.

Learn more about the linear equation.

https://brainly.com/question/14323743

Answer:

[tex]{\boxed{\sf{628}}}[/tex] units³

Step-by-step explanation:

Here's the required formula to find the volume of cone :

[tex]{\longrightarrow{\pmb{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}}[/tex]

Substituting all the given values in the formula to find the volume of cone :

[tex]{\implies{\rm{V_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}[/tex]

[tex]{\implies{\rm{V_{(Cone)} = \dfrac{1}{3} \times 3.14 \times {(10)}^{2} \times 6}}}[/tex]

[tex]{\implies{\rm{V_{(Cone)} = \dfrac{1}{3} \times 3.14 \times {(10 \times 10)} \times 6}}}[/tex]

[tex]{\implies{\rm{V_{(Cone)} = \dfrac{1}{3} \times 3.14 \times {(100)} \times 6}}}[/tex]

[tex]{\implies{\rm{V_{(Cone)} = \dfrac{1}{3} \times 3.14 \times 100 \times 6}}}[/tex]

[tex]{\implies{\rm{V_{(Cone)} = \dfrac{1}{\cancel{3}} \times 3.14 \times 100 \times \cancel{6}}}}[/tex]

[tex]{\implies{\rm{V_{(Cone)} = 1\times 3.14 \times 100 \times 2}}}[/tex]

[tex]{\implies{\rm{V_{(Cone)} = 3.14 \times 100 \times 2}}}[/tex]

[tex]{\implies{\rm{V_{(Cone)} = 314\times 2}}}[/tex]

[tex]{\implies{\rm{V_{(Cone)} = 628}}}[/tex]

[tex]\star{\boxed{\sf{\pink{V_{(Cone)} = 628 \: {units}^{3}}}}}[/tex]

Hence, the volume of cone is 628 units³.

[tex]\begin{gathered}\end{gathered}[/tex]

LEARN MORE :

[tex]\boxed{\begin{minipage}{6 cm}\bigstar$\:\underline{\textbf{Formulae Related to Cone :}}\\\\\sf {\textcircled{\footnotesize\textsf{1}}} \:Area\:of\:Base =\pi r^2 \\\\ \sf {\textcircled{\footnotesize\textsf{2}}} \:\:Curved \: Surface \: Area = \pi rl\\\\\sf{\textcircled{\footnotesize\textsf{3}}} \:\:TSA = Area\:of\:Base + CSA=\pi r^2+\pi rl\\ \\{\textcircled{\footnotesize\textsf{4}}} \: \:Volume=\dfrac{1}{3}\pi r^2h\\ \\{\textcircled{\footnotesize\textsf{5}}} \: \:Slant \: Height=\sqrt{r^2 + h^2}\end{minipage}}[/tex]

[tex]\rule{300}{2.5}[/tex]

Answer:

Alice is incorrect, see below

Step-by-step explanation:

The 10th term is 4(10)+3=43

The 5th term is 4(5)+3=23

Therefore, Alice is incorrect because 23*2=46, and not 44.

Answer:

The answer is 2. The Value of x is 2.

Step-by-step explanation:

Mark me BRAINLIEST!!!

Answer:

It would be 0.

Step-by-step explanation:

It shows that the same amount of students have 0 and 3 siblings, but it's asking for the fewest number of siblings that a student has. The bar graph is a representation of it, but could also be there to try and confuse you, or make you think more.

Answer:

Y=(x+10)^2-105

Step-by-step explanation:

y=x^2+20x-5

y+?=x^2+20x+?-5

y+?=x^2+20x+100-5

y+100=x^2+20x+100-5

y+100=(x+10)^2-5

y=(x+10)^2-5-100

Answer:

l = P/2  -w

Step-by-step explanation:

P=2(l+w)

Divide each side by 2

P/2 = 2(l+w)/2

P/2 = l+w

Subtract w from each side

P/2 -w = l+w-w

P/2 -w =l

Answer:

Step-by-step explanation:

Missing value looks the same, but it's 0.7 ft. longer than 2 ft.

Your answer is 2.7 (C).

Answer:

x = 2.5 ft.  (first option)

Step-by-step explanation:

Apply Thales' Theorem

[tex]\frac{DC}{EB} =\frac{AC}{AB}[/tex]

[tex]EB=x[/tex]

[tex]\frac{10}{x} =\frac{8}{2}[/tex]

[tex]x=\frac{(10)(2)}{8} =\frac{20}{8}[/tex]

[tex]x=2.5[/tex]

Hope this helps

Answer:

The unknown number is -40

Step-by-step explanation:

Let x = the unknown number

x + 5 = -35

Subtract 5 from both sides

x = -40

I hope this helped and please mark me as brainliest!

Answer:

He saves $328.00 hope it helps

Answer:

22

Step-by-step explanation:

Refer to the attachment.

Hope it helps :)

Answer:

1/6

Step-by-step explanation:

hope this helps!!

Answer:

1/6

Step-by-step explanation:

1/2 ÷ 3 → 1/2 ÷ 3/1     *Let's write both as fractions to make things easier

1/2 ÷ 3/1  → 1/2 · 1/3    *Change the division sign into multiplication and turn      3/1 into its reciprocal which is 1/3 (aka just change the numerator into denominator and denominator into numerator)

1/2 · 1/3 = 1/6   *Multiply straight across! So, 1 · 1 = 1 (numerator) over 2 · 3 = 6 (denominator)

Answer:33

Step-by-step explanation:

54-12=42

42 divided by 2 is 21

21+12 is 33

Answer:

33

Step-by-step explanation:

54-12=42

42 divided by 2 is 21

21+12 is 33

Answer:

D

Step-by-step explanation:

Just divide the 2 rates, so for Candice it would be 11.98 / 2 so 5.99 per pizza.

For Peter just pick any rate, like 23.96 / 4, which would also be 5.99 per pizza.

Answer:

x = 8*root3

y = 16

Step-by-step explanation:

You can use tangent and cosine of 60° to find x and y, BUT THERE'S A SHORTCUT. You pointed out that its a 30°-60°-90° triangle. That is a special right triangle. Here's the shortcut:

the longest side (hypotenuse) is double the shortest side. We have an 8 on the shortest side, so the hypotenuse (longest side) is 16. This ALWAYS works for 30°-60°-90° triangles!

Another shortcut:

The longer leg is the shorter leg × root3.

This ALWAYS works on 30°-60°-90° triangles.

So on your triangle, the short side is 8, that means the longer leg is 8×root3.

ta-daaaa!