Hi! 15+ points for this! :D
1. Alex has $40, and Ellen has $24. Alex is saving $6 per day, and Ellen is saving $10 day. After how many days will Alex and Ellen have the same amount of money?

2. Kendra owns a restaurant. She charges $6.00 for two eggs and one piece of toast and $3.60 for one egg and one piece of toast. How much does Kendra charge per egg? How much per piece of toast?

3. A restaurant has one type of lemonade that is 30% sugar and another that is 10% sugar. How many gallons of each type does the restraint need to make 4 gallons of a lemonade mixture that is 15% sugar?

4. A scientist has a container of 2% acid solution and a container of 5% acid solution. How many fluid ounces of each concentration should be combined to make 25 fl oz of 3.2% acid solution?





16. The speed of a kayaker is 5.75 mi/h paddling with the river current and 3.25 mi/h paddling against it. What is the speed of the river current?

Susan make $12 per hour babysitting and $24 per hour as a lifeguard. Her goal is to make at least $420. Write an inequality, graph the solution, and list three possible solutions

25. Joe wants to fence a rectangular pen for his goats. The length of the pen should be at least 40 ft, and the distance around should be no more than 150 ft. Write a systems of inequalities and graph to represent the possible dimensions of the pen.

Answer:

4 is a coefficient

Step-by-step explanation:

4x - 10

x is the variable and 4 is the coefficient since it is next to the variable

-10 is the constant

4x is a term

4x-10 is a sum

Answer:

A) Coefficient.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

P=(1/2)(1/2)=1/4

Answer:

Area(PART)= 7.5 u^2

Step-by-step explanation:

RT=1 unit

PA=4 units

Distance between T (or R) and PA= 3 units

RT;PA = Bases

T (or R)--> PA= Altitude/Height

Area of trapezoid= Alt(B1+B2)/2

--> 3(1+4)/2

=> 3*5÷2

=15/2

=7.5

Thanks

Answer: The next 5 numbers would be "33,37,41,45,49

Step-by-step explanation:

Answer:

k=9

Step-by-step explanation:

m=–4=slope

slope formula= m = (y1–y2)÷(x1-x2)

In this case, we are missing the value of y1, so we just need to isolate it:

–4=(k–1)/(2-6)

simplify parentheses

–4=(k–1)/–2

multiply by –2 on both sides

8=k–1

add 1 to both sides

k=9

Thank You

Answer:

386 that lay eggs

Step-by-step explanation:

440-39= 401 hens

401hens- 15= 386

Answer:

386 that lay eggs

440-39= 401 hens

401 hens- 15= 386

:-)

Answer:

is two quadrilaterals are congruent, ten there must be 4 pairs of corresponding sides.

Answer:

4 pairs of corresponding sides

Step-by-step explanation:

if two quadrilaterals are congruent, then they have the same sides and are identical

quadrilaterals have 4 sides

therefore, each of their 4 sides are identical to each other

making the answer 4 pairs of corresponding sides.

hope this helps!!!

(btw i just took the gradpoint test and the answer was right)

Answer:

There are 34560 ways the books can be arranged.

Step-by-step explanation:

I crank my 90s like fazeway

Answer:

( -4920)

Step-by-step explanation:

we see that the first term is 3 and the common ratio between the succeeding terms is -3. so to  solve for the sum of the first 8 terms

 Sum = (a1)(1 – r^n) / (1 – r)

and substituting the known terms,we got  

  Sum = (3)(1 – (-3)^8)/(1 - (-3)) = -4920

Then the answer   = ( -4920)

Answer: Her double time pay rate = $24.9 per hour.

Step-by-step explanation:

We have given that, Daja is paid $12.45 an hour.

In other words, her usual time pay rate = $12.45 per hour

Also, If Dahja worked overtime and gets paid double time.

Then, her double time pay rate = 2 x (usual time pay rate) [as double means 2 times]

= 2 x  $12.45 per hour

= $ 24.9 per hour

Hence, her double time pay rate = $24.9 per hour.

i.e. Daja is paid $24.9 an hour for overtime.

Answer:

See below;

Step-by-step explanation:

1 . Consider the step below;

[tex]m< DCA = 90 degrees - Given ,\\m< ACB = 180 degrees - Straight < ,\\\\m< DCA + m< DCB = 180,\\m< DCB = 90 degrees,\\\\By Parts Whole Postulate - m< DCB = m< DCE + m< ECB,\\m< DCB = m< DCE + m< ECB,\\90 = 53 + g,\\Conclusion ; ( g = 37 degrees )[/tex]

Thus, Solution ; g = 37 degrees

2 . Knowing that these circle are " circumscribed " in this rectangle so that they are perfectly aligned, considering the length of this rectangle to be 20 inches, let us determine the radius;

[tex]Diameter Of 1 Circle - ( 20 inches ) / 4 = 5 inches,\\Radius of 1 Circle = ( 5 inches ) / 2 = 2.5 inches,\\\\Area of 1 Circle = \pi r^2 = \pi * ( 2.5 )^2 = 6.25\pi,\\Area of 4 Circles = 6.25\pi * 4 = 25\pi,\\Area of 4 Circles = Area of Shaded Region,\\\\Conclusion ; Area of Shaded Region = 25\pi[/tex]

Thus, Solution ; 25π

3. Let us first consider the given, then solve for the value of a, b, e;

[tex]Angles c + e - Vertical Angles,\\Angles a + c - Complementary,\\( a + c ) = 90,\\Angle c = 56 degrees,\\a + 56 = 90,\\Conclusion ; a = 34 degrees,\\\\[/tex]

[tex]m< e = m< c,\\Conclusion ; e = 56 degrees[/tex]

[tex]m< e + m< a + m< b = 180 - Straight Line,\\56 + 34 + m< b = 180,\\m< b = 180 - 56 - 34,\\Conclusion ; b = 90 degrees[/tex]

Solution; a = 34°, b = 90°, e = 56°

Answer:

see below

Step-by-step explanation:

P( math or english) = number of math or english / total

This would include the people that studied both (20+11+39)

                                = 70/100

P( math and english) = number of math and english / total

This is the people that studied both

                                = 11/100

P( math or english but not both) = number of math or english / total

This includes only the people that study one or the other but not both (20+39)

                                = 59/100

Answer:

[tex]\boxed{\sf {view \: explanation}}[/tex]

Step-by-step explanation:

[tex]\sf a) \ \frac{maths+english }{total}[/tex]

[tex]\sf \frac{20+11+39}{100} =\frac{70}{100}[/tex]

[tex]\sf b) \ \frac{intersection \ of \ math \ and \ english }{total}[/tex]

[tex]\sf \frac{11}{100}[/tex]

[tex]\sf b) \ \frac{excluding \ intersection \ of \ math \ and \ english }{total}[/tex]

[tex]\sf \frac{20+39}{100} =\frac{59}{100}[/tex]

Answer:

the answer is d

\can i get a brainliest pls

Answer:

The first one.

Step-by-step explanation:

For something to be considered to be a graph, every x value must have 1 y value. It does not matter if y values are the same, but you MUST make sure there is ONLY ONE of each value. So for example the second one wouldn't be a function because -5 appears twice for the x values, but with different y values. This would mean when graphed, it would fail the vertical line test (if you put a vertical line anywhere on the graph you will only get one point).

Answer:

The first one

Step-by-step explanation:

because it is the only one that actually applies to the function

Answer:

64π

Step-by-step explanation:

Answer:

x = -1  y = -1

Step-by-step explanation:

x + 3y = −4

x + 5y = −6

Multiply the first equation by -1

-x - 3y = 4

The add to the second equation to eliminate x

-x - 3y = 4

x + 5y = −6

--------------------

 2y = -2

Divide by 2

2y/2 = -2/2

y = -1

Now solve for x

x+3y = -4

x +3(-1) = -4

x -3 = -4

Add 3 to each side

x-3+3 = -4+3

x = -1

Answer:

work is pictured and shown

Answer:

Yeah it's A, on my mama

2x + 4y >_ 3

2x+4y<_3

Answer:

First option ( Did it on edge

Step-by-step explanation:

Answer:

Step-by-step explanation:

<6= 125 degrees

<3 = 125 degrees

x = 55 degrees

Answer:

Step-by-step explanation:

55° and ∠4 are corresponding angles made by parallel lines. Therefore, they're congruent.

∠4 = 55°

Lines s and t are parallel lines and ∠4 and x are the interior angles at the same side of the transversal l. Therefore, they're supplementary.

∠4 + x = 180°

55° + x = 180°

x = 180° − 55° = 125°

Answer:

The white paint is 1.5 times the red paint. 1.5 is the same as 1 1/2 or 3/2. x = 3/2 y

Step-by-step explanation: In the graph there is one point where both x and y is a whole number.  3,2  . 3 white paint is equal to 2 red paint. You divide 3 by 2 which is 1.5, or 1 1/2 or 3/2. The relationship is that x is 3/2 times y. x = 3/2y

Answer:

[tex]y=\frac{5}{4} x + \frac{5}{4}[/tex]

Given:

To find out:

Find the area of rectangle?

Formula used:

Area of rectangle = length × breadth

Solution:

We know that,

Area of rectangle = length × breadth

= ( x + 2 ) × 3

= 3x + 6

Answer:

1/5(p+2t) = r

Step-by-step explanation:

p = 5r – 2t

Add 2t to each side

p+2t = 5r – 22t

(p+2t) = 5r

Divide each side  by 5

1/5(p+2t) = r

Answer:

[tex] r = \frac{p + 2t}{5} \\ [/tex]

Step-by-step explanation:

[tex]p = 5r - 2t \\ p + 2t = 5r \\ \frac{ p + 2t}{5} = \frac{5r}{5} \\ r = \frac{p + 2t}{5} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

(x - 2)² + (y + 1)² = 9

Step-by-step explanation:

Circle equation: (x - h)² + (y - k)² = r²

Simply plug in your center (h, k) and your radius r and you have you final answer!

Answer:

42

Step-by-step explanation:

Average =

Sum of the terms/ number of terms

Terms here refers to the data or the values given

So,

The sum is 12+43+51+62= 168

The number of terms is 4

Therefore the average is,

168/4

= 42

Answer:

42

Step-by-step explanation:

Average =  

Sum

/Count

=  

168/4

=  42

MARK ME BRAINLIEST

Answer:c

Step-by-step explanation:

4/3 times pi times 7 cubed

Answer: The area is  1 1/4. The perimeter is 6.

Step-by-step explanation: 2.45 is about 2.5.   5/8 is about 1/2.  To find the area we need to multiply length times width.  2.5 is  2 and 1/2 which is 5/2. 5/2 times 1/2 is 5/4. To simplify it divide 5 by 4 which is 1 with remainder 1. 5/4 is 1 1/4. Therefore the area is 1 1/4 meters squared. To find the perimeter we have to add length + length + width + width. . 2.5 is the same thing as 2 1/2.  5/8 is about 1/2 if we use benchmarks.     2 1/2 + 2 1/2 +  + 1/2 + 1/2 is 6. The perimeter is 6.

Answer:

x=35

Step-by-step explanation:

When a is parallel to b, the two angles will add to 180

x+ 3x+40=180

Combine like terms

4x+40 =180

Subtract 40 from each side

4x= 180-40

4x= 140

Divide by 4

4x/4 = 140/4

x=35

Answer:

314.16ft²

Step-by-step explanation:

A = πr² = π · 10² ≈ 314.15927ft²

Answer:

100π ft²

Step-by-step explanation:

r= 10 ft

A= πr²= π*10²= 100π ft²

We began be finding the volume of each shape, the we subtracted the volume of the cone from the volume of the cube.

Volume of wood that remain = 436.6 cm^3

Given Data

Let us find the volume of the cone

Volume of cone = πr^2h/3

Volume of cone = 3.142*3^2*8/3

Volume of cone = 3.142*9*8/3

Volume of cone = 226.224/3

Volume of cone = 75.408cm^3

Let us find the volume of the cube

Volume of cube = L^3

Volume of cube = 8^3

Volume of cube = 512cm^3

Hence the volume of the wood that remains

= volume of cube - volume of cone

= 512 - 75.408

= 436.6 cm^3

Learn more about volume of solids here:

https://brainly.com/question/21036176