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vova2212 [387]
3 years ago
7

Find the value of x. x =?​

Mathematics
1 answer:
Arlecino [84]3 years ago
8 0

Answer:

x = 18

Step-by-step explanation:

The smaller triangle (the one with sides 80 and 60) is similar to the larger one (meaning that the ratio of the sides should be the same).

The ratio is 4:3:

27 + 60 = 87

87/3 = 29

29*4 = 116

2x + 80 = 116

2x = 36

x = 18

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Grayson went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 35 grams of sugar and
Illusion [34]

The number of bottles of soda purchased is 10 and the number of bottles of juice purchased is 4.

<u>Step-by-step explanation:</u>

Let us consider the soda bottles as x and juice bottles as y.

From the given data we can derive 2 equations,

35x+15y= 410.    .....(1)

x=y+6.                 ....(2)

Substitute equation (2) in (1),

35(y+6)+15y=410.

35y+ 210+15y=410.

50y+210=410.

50y=410-210.

50y=200.

y=4.

Substitute y value in equation (2),

x=4+6.

x=10.

The number of bottles of soda purchased is 10 and the number of bottles of juice purchased is 4.

4 0
3 years ago
Is the binomial a factor of the polynomial nominal function?
Sedbober [7]

The factors for given equation f(x)=x^{3} +3x^{2} -25x-75.

  • (x-1) - No
  • (x-3) - No
  • (x+3) - Yes
  • (x-5) - Yes
  • (x+5) - Yes

<u>Step-by-step explanation:</u>

The given equation is f(x)=x^{3} +3x^{2} -25x-75 .

Add 0 at the end of the equation.

x^{3} +3x^{2} -25x-75 = 0.

Let us group the given equation,

(x^{3} +3x^{2}) -(25x-75) =0.

⇒ Group 1: x^{3} +3x^{2} .

Group 2: - 25x +75 .

Pull out factor from each group,

⇒ Group 1: (x+3)(x^{2}).

Group 2: (x+3) (-25).

Join the two group since both (x+3) is common in both groups.

(x+3)(x^{2} -25) =0.

One of the factor is (x+3).

Other factors are solved by the formula, a^{2}-b^{2} = (a+b) (a-b) .

(x+3)(x^{2} -25) = (x+5) (x-5) .

The other factors are (x+5) and (x-5).

7 0
3 years ago
How do you write 35 over 20 As a percentage
lara31 [8.8K]
In order to write \frac{35}{20} as a percentage, we must first convert the fraction into a decimal. We can do that simply by dividing.

35 / 20 = 1.75

In order to convert a fraction to a decimal, we must multiply it by 100

1.75 * 100 = 175%

\frac{35}{20} as a percentage is 175%.
Hope that helped =)
4 0
3 years ago
Read 2 more answers
A convex hexagon has exterior angles of 39°, 47°, 42°, 59°, and 64°. What is the measure of an exterior angle at the
meriva

Answer: 109^{\circ}

Step-by-step explanation:

The exterior angles of a polygon add to 360 degrees, so the sixth angle measures 360-39-47-42-59-64=\boxed{109^{\circ}}

7 0
2 years ago
In our solar system, 6 of the 8 planets have moons, what percentage of the plants have moons?
vodomira [7]

Answer:

75%

Step-by-step explanation:

Percentage of planets having moons = 6 /8 *100 = 75%

6 0
4 years ago
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