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3 years ago

Evaluate the expression 4x² + 3y for x=5 and y =6.

Mathematics

1 answer:

Marina86 [1]3 years ago

6 0

Answer:

118

Step-by-step explanation:

x = 5

y = 6

4x² + 3y

= 4 ( 5 )² + 3 ( 6 )

= 4 ( 25 ) + 18

= 100 + 18

= 118

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RS = 12, ST = 2x, RT = 34

Harrizon [31]

Answer:

x=11

Step-by-step explanation:

34(RT) minus 12(RS)=22. 22 divided by 2 equals 11.

6 0

3 years ago

An element with mass 130 grams decays by 22% per minute. How much of the element is remaining after 7 minutes, to the nearest 10

shepuryov [24]

22.8 grams of element will be remaining after 7 minutes

Further explanation:

Given

$Mass\ of\ element=130g\\Percentage\ of\ reduction=22\%$

The element reduces (1-22%) in one minute.

The process will be repeated 7 times for 7 minutes

If we have to calculate the amount of element after 7 minutes

then the total reduction will be: (1-22%)^7

$Remaining\ amount=130*(1-22\%)^7\\=130*(1-0.22)^7\\=130*(0.78)^7\\=130*0.18\\=22.84g\\Rounding\ off\ to\ nearest\ tenth\\=22.8g$

22.8 grams of element will be remaining after 7 minutes

Keywords: Decay, Percentage

Learn more about percentage at:

#LearnwithBrainly

6 0

3 years ago

GEOMETRY: PLEASE HELP!!

Aloiza [94]

Answer:

$GF=72$

Step-by-step explanation:

All triangles in the given figure are similar, from SAS. Notice that marked in the diagram, $CD=DE=EF=FA$ .

For triangle $\triangle CGF$ was base $GF$ , leg $CF$ contains three of these marked segments. In triangle $\triangle CHE$ with base $HE$ , leg $CE$ has two of these marked segments. By definition, similar polygons have corresponding sides in a constant proportion. Therefore, the length of GF must be $3/2$ the length of EH. Since the length of EH is given as 48, we have:

$GF=\frac{3}{2}EH, \\\\GF=\frac{3}{2}\cdot 48,\\\\GF=\boxed{72}$

7 0

3 years ago

An airplane travels at 150 miles per hour. The total distance traveled is 637.5 miles. Which equation should be solved to determ

OverLord2011 [107]

The distance (d) traveled by the airplane is the product of multiplying the speed (s) and the trip took (h). The equation is shown below,
d = s x h
Substitute the known values to the equation,
637.5 miles = (150 mile/ hour) x h
Manipulating the equation,
h = (637.5 miles) / (150 mile/ hr)
h is equal to 4.25 hours.

8 0

4 years ago

Eli wants to combine 0.5 gallons of a 10% acid solution with a 35% solution to make a 15% acetic acid solution. He needs to dete

algol13

Answer:

Here you go :)

Step-by-step explanation:

8 0

3 years ago