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1 year ago

8

Sally needs 300 stickers. Vince gives her 12 packs with 10 stickers in each pack. How many stickers dose sally need now? Draw a

picture to explain your answer.

2 answers:

Anton [14]1 year ago

6 0

180 because you multiply the 12 packs by 10 to get 120. Then you subtract 120 from 300

olga nikolaevna [1]1 year ago

3 0

420 because 12x10 is 120 plus 300 would be 420

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The best answer for this question is A.

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1 year ago

Problem A fruit stand has to decide what to charge for their produce. They need \$10$10dollar sign, 10 for 444 apples and 444 or

andre [41]

Answer:

4a + 4b = 10

6a + 6b = 12

Step-by-step explanation:

Putting the equation in a system of linear equation :

We donate, apples and oranges using any preffered letter or alphabet

Let :

Apples = a ; oranges = b

4 apples and 4 oranges equals $10

4a + 4b = 10

6 Apples and 6 oranges equals $12

6a + 6b = 12

Hence, the system of linear equation :

4a + 4b = 10

6a + 6b = 12

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2 years ago

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Andre wrote the expression −5+4x÷3 to represent the relationship shown in the table. Find two other expressions that also repres

klio [65]

Answer:

y=mx+b

Step-by-step explanation:

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1 year ago

answer A radio station located 120 miles due east of Collinsville has a listening radius of 100 miles. A straight road joins Col

melamori03 [73]

Answer:

168.7602 miles

Step-by-step explanation:

One way to solve this problem is by using an equation that describes the listening radius of the station, and another for the road, then the points where this two-equation intersect each other will represent when the driver starts and stops listening to the station, and the distance between the points is the miles that the driver will receive the signal.

The equation for the listening radius (the radio station is at (0,0)):

$x^2+y^2=100^2$

The equation for the road that past through the points (-120,0) and (80,100) (Collinsville and Harmony respectively):

$m=\frac{y_2-y_1}{x_2-x_1} =\frac{100-0}{80-(-120)}=\frac{100}{200}=\frac{1}{2}$

$y-y_1=m(x-x_1)\\y-0=\frac{1}{2}(x-(-120))\\ y=\frac{1}{2}x+60$

Substitutes the value of y in the equation of the circle:

$x^2+(\frac{1}{2}x+60)^2=100^2\\x^2+\frac{1}{4} x^2+60x+3600=10000\\\frac{5}{4} x^2+60x+3600=10000\\\frac{5}{4} x^2+60x+3600-10000=0\\\frac{5}{4} x^2+60x-6400=0\\5 x^2+240x-25600=0\\x^2+48x-5120=0\\$

The formula to solve second-degree equations:

$x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac} }{2a} \\x_{1,2}=\frac{-48\pm\sqrt{48^2-4(1)(-5120)} }{2(1)}\\x_{1,2}=\frac{-48\pm\sqrt{2304+20480} }{2}\\x_{1,2}=\frac{-48\pm\sqrt{22784} }{2}\\x_{1,2}=\frac{-48\pm16\sqrt{89} }{2}\\x_{1,2}=-24\pm8\sqrt{89} \\x_1=-24+8\sqrt{89}\approx51.4718\\x_2=-24-8\sqrt{89}\approx-99.4718\\$

Using the values in x to find the values in y:

$y_1=\frac{1}{2}x_1+60\\y_1=\frac{1}{2}(-24+8\sqrt{89} )+60\\y_1=-12+4\sqrt{89}+60\\ y_1=48+4\sqrt{89}\approx85.7359$

$y_2=\frac{1}{2}x_2+60\\y_2=\frac{1}{2}(-24-8\sqrt{89} )+60\\y_1=-12-4\sqrt{89}+60\\ y_1=48-4\sqrt{89}\approx10.2641$

The distance between the points (51.4718,85.7359) and (-99.4718,10.2641) :

$d=\sqrt{(x_1 -x_2 )^2+(y_1 -y_2)^2} \\d=\sqrt{(-24+8\sqrt{89} -(-24-8\sqrt{89}) )^2+(48+4\sqrt{89} -(48-4\sqrt{89}) )^2}\\d=\sqrt{(-24+8\sqrt{89} +24+8\sqrt{89} )^2+(48+4\sqrt{89} -48+4\sqrt{89} )^2}\\d=\sqrt{(16\sqrt{89} )^2+(8\sqrt{89} )^2}\\d=\sqrt{22784+5696}\\d=\sqrt{28480}\\d=8\sqrt{445}\approx168.7602miles$

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1 year ago

6/10= x/100 what does x equal?

VLD [36.1K]

Cross multiply if you know how to do that, if not i can explain it for you :)

7 0

1 year ago

Read 2 more answers