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You are making flour and water paste. You add 1/4 cup of water to the paste. Your friend adds 1/2 cup of water to the paste. How much water did the two of you add?

3/4 of a cup.If your friend adds a 1/2 a cup of water, that is equivalent to 2/4 as well. if you add the 1/4 cup of water you added to the 2/4 cup of water your friend added you will see that the two of you have added a total of 3/4 of a cup of water to the paste

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Mai is putting money into a savings account. She starts with \$350 in the savings account, and each week she adds \$60 . Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Mai has been adding money. Write an equation relating S to W . Then use this equation to find the total amount of money in the savings account after 12 weeks. Equation: Total amount of money after 12 weeks: \$

S=60w+ 350. Because you get \$60 times the amount of weeks,plus the first \$350 she started with. She ends up with \$1070 dollars because \$60 x 12= 720, then you add the first \$350 and get \$1070. Hope this helped.

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Jenna has 3 red balloons and 5 blue balloons. The ratio of the number of red balloons to the number of blue balloons is . She adds 2 red balloons and removes 1 blue balloon. The new ratio of the number of red balloons to the number of blue balloons is .

Option C – BD=76 cm

Step-by-step explanation:

Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

To find : How long BD should it be?

Solution :

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

Two disjoint pairs of consecutive sides are congruent.

DC=BC=72 cm

The diagonals are perpendicular.

So, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC=   …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

Applying Pythagorean theorem in ΔAOD

where H=AD=44.8 ,P= AO=x , B=OD=z

………[2]

Applying Pythagorean theorem in ΔCOD

where H=DC=72 ,P= OC=y , B=OD=z

…………[3]

Subtract [2] and [3]

……….[4]

Add equation [1] and [4], to get values of x and y

Substitute x in [1]

Substitute value of x in equation [2], to get z

We know, BD=z+z

BD= 38.06+38.06

BD= 76.12

Nearest to whole number BD=76 cm

Therefore, Option c – BD=76 cm is correct.

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If g is the variable, which mathematical sentence expresses the information below? “The number of gallons of gas in the tank plus 7 more adds up to 12 gallons.”

Number of copy machines must be made to minimize the unit cost=160.

Step-by-step explanation:

We are given that the unit cost function C ( the cost in dollars to make each copy machine)

Then the unit cost function is given by

We have to find the number of copy machines for  minimize the unit  cost

Differentiate with respect to x

Then we get

……(equation I)

To find the value of x then we susbtitute is equal to zero

By using division property of equality

Again differentiate the equation I with respect to x then we get

Hence, the unit cost is minimize for x=160

Therefore, the number of copy machines must be made to minimize the unit cost =160

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A scientist adds heat to each of the following substances. Which will probably absorb the most heat before its temperature changes significantly? 50 g of solid copper 50 g of solid iron 50 g of liquid water 50 g of sand Question 2(Multiple Choice Worth 2 points) A drop of water placed on a smooth, dry surface will form a dome-shaped droplet instead of flowing outward in different directions. Which of these best explains this observation? The bonds between hydrogen and oxygen atoms are very strong. The electrons in the atoms attract the electrons in the other atoms. Water molecules at the surface experience fewer hydrogen bonds than water molecules within the liquid. Water molecules near the surface produce more buoyant force than water molecules within the liquid. Question 3(Multiple Choice Worth 2 points) Which of these best explains what happens when the ionic substance calcium chloride (CaCl2) dissolves in water? The oxygen atoms in the water molecules are attracted to the Ca2+ ions. The oxygen atoms in the water molecules are attracted to the Cl− ions. The hydrogen atoms in the water molecules are attracted to the Ca2+ ions. The oxygen atoms in the water molecules are attracted to the H+ ions. Question 4(Multiple Choice Worth 2 points) Which of these statements about water is true? Its atoms share electrons equally. It can dissolve all known substances. Its molecules are farther apart in the solid state than in the liquid state. It has a lower specific heat than nearly all known metals.

The gravitational force Fg between two objects is given by the equation:

Fg=(G*m₁*m₂)/r₂, where G=6.67*10^-11 m³ kg⁻¹ s⁻² is the gravitational constant, m₁ and m₂ are the masses of the two bodies and r is the distance between those bodies.

Due to the gravitational attraction the pencil and the eraser will attract if we there is no friction on the surface.

m₁=10 g=0.01 kg is the mass of the pencil
m₂=20 g=0.02 kg is the mass of the eraser
r=2.5 cm = 0.025 m

First we calculate the Fg:

Fg={(6.67*10^-11)*0.01*0.02}/(0.025²)=2.1344*10^-11 N

To get the velocity v of the pencil:

v²=2as, where a is the acceleration of the pencil and s is the path. In our case s=r so we can write:

v²=2ar

a=Fg/m₁= 2.133*10^-9 m/s²

v²=2*(2.133*10^-9)*0.025=1.0665*10^-10

v=√(1.0665*10^-10)=1.0327*10^-5 m/s

We have the velocity and the acceleration, so we can calculate the time t with the equation:

t=v/a=(1.0327*10^-5)/(2.133*10^-9)=4841.6 s

1 hour has 3600 s so when we divide time t in seconds by 3600 we get time T in hours:

T=t/3600=4841.6/3600=1.3449 h.

So the time for the pencil and eraser to touch is T=1.3449 hours.

Also time T can be expressed like T= 1h and 20 mins and 41.64 s

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Read the passage. Melissa is decorating a pair of jeans in art class. She decides to use all the craft supplies to decorate it. She adds glitter, sequins, beads, and rhinestones. When Melissa has finished, she is disappointed because the clothing looks messy. “Sometimes, less is more,” she sighs. Which literary device is the author using? hyperbole irony paradox allegory

Read the passage. Melissa is decorating a pair of jeans in art class. She decides to use all the craft supplies to decorate it. She adds glitter, sequins, beads, and rhinestones. When Melissa has finished, she is disappointed because the clothing looks messy. “Sometimes, less is more,” she sighs. Which literary device is the author using? hyperbole irony paradox allegory

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The sincerity of a speaker adds to the speaker's

The sincerity of a speaker adds to the speaker’s

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John starts a saving account with \$100. Every week he adds \$6 to his account. Which equation can be used to determine the number of weeks w, after which John’s accounts reaches \$220? A)6w + 100 = 220 B)6w – 100 = 220 C)6w + 220 = 100 D)6 + w = 220

Hey!

Hope this helps….

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Given Information:

No client can do both Plans

On Wednesday: 3 clients did Plan A, and 2 clients did Plan B

On Thursday: 5 clients did Plan A, and 6 clients did Plan B

Keiko was training for a total of 6 hours on Wednesday, and training for a total of 12 hours on Thursday

——————————

We’ll let t stand for length of time

Wednesday:

3t + 2t = 6

5t = 6

t = 1.2 hours > translates to 1 hour, and 12 minutes

On Wednesday, she was with her clients individually for 1 hour and 12 minutes

Thursday:

5t + 6t = 12

11t = 12

t ~ 1.1 hours > translates to about 1 hour and 6 minutes

On Thursday, she was with her clients individually for about 1 hour and 6 minutes

———————–

We’ll let A stand for total length of time for Plan A, and B stand for total length of time for Plan B

We’ll let W stand for Wednesday, and T stand for Thursday…

We’ll let z stand for total amount of clients for that plan…

~~~~

We know, for Plan A, on Wednesday there were 3 clients, and Thursday there were 5 clients

We also know for Plan B, on Wednesday there were 2 clients, and Thursday there were 6 clients

~~~~~

(3W + 5T)/z = A

(3(1.2) + 5(1.1))/8 = A

(3.6 + 5.5)/8 = A

9.1/8 = A

Plan A = 1.1375 hours > 1 hour 8 minutes 15 seconds

(2W + 6T )/z ~ B

(2(1.2) + 6(1.1))/8 ~ B

(2.4 + 6.6)/8 ~ B

9/8 ~ B

Plan B ~ 1.125 hours > 1 hour 7 minutes 30 seconds

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When ever the symbol ” ~ ” is used in an equation, it stands for “About”…

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Sorry for the mess up before….

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A sugar mixture has 3 parts water and 2 parts sugar. Suppose the chef adds one more part to each. What is the new ratio of sugar to water?

Step-by-step explanation:

We know that, the first part of the question is ‘In which quadrant would you find the point P if the co-ordinates are (-5, .. ‘

Assuming, we are talking about x-y axis where the point P is not on the axis.

The only possibility for the x co-ordinate to be -5 is if the point lies in the 2nd or 3rd quadrant.

for e.g. In 2nd quadrant, the point can be (-5,3) and in 3rd qudrant the point can be (-5,-4).

Hence, option B is correct.

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Which process adds carbon dioxide to the atmosphere?

The question is incomplete. Below is the to complete the question:

If crossing over did not occur, which of the following statements about meiosis would be true? Select all that apply.

There should choices that should accompanied the question, please see below:

The two daughter cells produced in meiosis I would be identical.

The two sister chromatids of each replicated chromosome would no longer be identical.

There would be less genetic variation among gametes.

The four daughter cells produced in meiosis II would all be different.

Independent assortment of chromosomes would not occur.

The daughter cells of meiosis I would be diploid, but the daughter cells of meiosis II would be haploid.

The answer is “There would be less genetic variation among gametes”