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Advocard [28]
3 years ago
15

At the end of the summer, liam discovers that his radiator antifreeze solution has dropped below the safe level. If the radiator

contains 4 gallons of a 25% solution, how many gallons of pure antifreeze must he add to bring it up to a desired 50% solution?
Mathematics
1 answer:
attashe74 [19]3 years ago
4 0
2 gallons 25% of 4 is 1 so there is about 1 gallon of pure in there no so adding two will make 3 gallons of antifreeze bringing total to 6 gallons 3/6 = .5 boom bam 50%
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The sales tax rate in New Mexico is $5.125%.
madreJ [45]

Answer:

<em>The tax is $1.54 and the price after tax is $31.54</em>

Step-by-step explanation:

<u>Percentages</u>

The procedure to add a percentage ratio p to a given quantity q is:

* Calculate the increase as i = p*q/100

* Add the increase to the original quantity to get the final quantity f=q + i

It's given the sales tax rate in New Mexico is p=5.125%. A pair of pants in New Mexico costs q=$30 before tax.

* The increase (tax) is i = (5.125*30)/100 = $1.54

* The price after tax is f = $30 + $1.54 = $31.54

The tax is $1.54 and the price after tax is $31.54

6 0
3 years ago
An emergency patient is being seen today because of a lost "filling.” The dentist examines
saveliy_v [14]

A temporary dental material that would most likely be used to replace the lost filling be reinforced zinc oxide- eugenol composition.

A temporary restoration material is used to keep the patient comfortable for a short period of time. It <u>prevents the dislocation</u> of tooth and maintain functionality.

So, a <u>temporary dental material</u> that would most likely be used to replace the lost filling be reinforced zinc oxide- eugenol composition.

Learn more here:

brainly.com/question/23558592?referrer=searchResults

6 0
2 years ago
In the isosceles △ABC m∠ACB=120° and AD is an altitude to leg BC . What is the distance from D to base AB , if CD=4cm?
snow_lady [41]

If ΔACB is an isosceles triangle, then ∠A ≅ ∠B and AC ≅ CB

Since ∠C = 120° and ∠A + ∠B + ∠C = 180°, then ∠A = 30° and ∠B = 30°

Next, look at ΔADB.  ∠A + ∠D + ∠B = 180°, so ∠A + 90° + 30° = 180° ⇒ ∠A = 30°

Now look at ΔADC.  Since ∠A = 30° in ΔACB, and ∠A = 60° in ΔADB, then ∠A = 30° in ΔADC <em>per angle addition postulate.</em>

Now that we have shown that ΔADB and ΔADC are 30-60-90 triangles, we can use that formula to calculate the side lengths.

CD = 4 cm (given) so AC = 2(4 cm) = 8 cm

Since AC ≅ BC, then BC = 8 cm. Therefore, BD = 4 + 8 = 12 <em>by segment addition postulate.</em>

Lastly, look at ΔBHD.  Since ∠B = 30° and ∠H = 90°, then ∠D = 60°. So, ΔBHD is also a 30-60-90 triangle.

BD = 12 cm, so HD = \frac{12}{2}cm = 6 cm

Answer: 6 cm



8 0
3 years ago
Read 2 more answers
An 8 oz glass of grape juice contains 0.6 mg of iron. About what percent of RDA of iron for an 15 year old male is provided by 8
babymother [125]

Answer:

5.45%


Step-by-step explanation:

To find info of a 15 year old male, you look at the Age Group of 14 - 18, beside Male.

The RDA of Iron is given as 11 mg

From a 8 oz glass of grape juice, he gets 0.6 mg.


<em>What percent is 0.6 mg of total 11 mg??</em>


Divide 0.6 by 11 and then multiply by 100 to get the answer. So we have:

\frac{0.6}{11}=0.0545*100=5.45

Thus, 5.45% of RDA of iron is provided by an 8 oz glass of grape juice.

6 0
3 years ago
What is the product of 4.5 × 10-5 and 2.4 × 10-2?
nikitadnepr [17]
4.5 • 10-5 = 40

2.4 • 10-2 = 22
4 0
3 years ago
Read 2 more answers
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