solve the simultaneous equations y=x+2 and x+y=3

Answer:

can you add a picture or something to work with?

Answer:

0.2

Step-by-step explanation:

When rounding to a certain place, check to see if the number to the left of that place is five or above. If it is, round up. If its not, round down.

Rounding 0.18 to one decimal place, we get the value of 0.2.

To round 0.18 to one decimal place, we need to look at the digit in the tenths place (the first digit after the decimal point).

In this case, the tenths place digit is 8. To round to one decimal place, we follow the general rounding rule: if the tenths place digit is 5 or greater, we round up; if it is 4 or less, we round down.

Since the tenths place digit in 0.18 is 8, which is greater than 5, we need to round up.

Thus, rounding 0.18 to one decimal place, we get:

0.2

The rounded value is 0.2, as it is the nearest value when rounded to one decimal place.

Therefore, 0.18 rounded to one decimal place is 0.2.

To learn more about rounding click on,

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General equation for slope-intercept form

y = mx+c

comparing the given eqn with this ,

m= slope = 2

Step-by-step explanation:

• no solution:

3x+9+4x+x = 8x + 9

• one solution:

3x+9+4x+x = 7x + 11

• infinitely many solutions:

3x+9+4x+x = 8x + 11

Answer:

8...the value of d variable =45 degree

corresponding angles are equal(reason)

9.

Answer:

if one angle is 35 degree... the other angle which one is opposite must be 35 degree

Step-by-step explanation:

now we can collect two angle and try to complete 180 degree. 45+35+ other angle equal to 180 degree and the other angle is 100 degree and we have Z rules so x=100 C°

Answer:

3 ounces

Step-by-step explanation:

there are two ways that the answer to this question can be determined

Method 1

If the regular bottle  Holds 75% less in it, it means that the regular bottle holds 25%(100 - 75)

Ounces the regular bottle holds = 25% x 12

0.25 x 12 = 3

Method 2

Determine the value of 75%

75% x 12

0.75 x 12 = 9

Since the regular bottle  Holds 75% less in it, subtract the value of 75% from 12 ounces

12 - 9 = 3

Answer:

$19.50

Step-by-step explanation:

40% of $32.50 = $13.00

$32.50 - $13.00 = $19.50

Hope this helps!

Given:

The diameter of the circle = 14 cm

To find:

The area of the circle.

Solution:

We have,

Diameter of the circle = 14 cm

We know that the radius of the circle is half of its diameter. So,

[tex]r=\dfrac{14}{2}[/tex]

[tex]r=7\text{ cm}[/tex]

The area of a circle is:

[tex]A=\pi r^2[/tex]

Substituting [tex]\pi=\dfrac{22}{7}, r=7[/tex] in the above formula, we get

[tex]A=\dfrac{22}{7}\times (7)^2[/tex]

[tex]A=22\times 7[/tex]

[tex]A=154[/tex]

Therefore, the area of the circle is 154 square cm.

Answer:

Crawling

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

[tex]12x {}^{2} + 4x - 3x - 1 = 0 [/tex]

[tex]4x \times (3x + 1) - (3x + 1) = 0[/tex]

[tex](3x + 1) \times (4x - 1) = 0[/tex]

[tex]3x + 1 = 0 \\ 4x - 1 = 0[/tex]

[tex]x = - \frac{1}{3} \\ x = \frac{1}{4} [/tex]

I hope this helps :)

Answer:

Step-by-step explanation:

80/100

=4/5

-800/100

=-8/1

=-8

80/-10

8/-1

-8

-80/-10

8/1

8

-80/-100

4/5

so second and third option are equivalent to -8.

Answer:

The correct answer would be D

9x=5(x=35)

Step-by-step explanation:

If this doesn't help I can fix it. I'm sorry in advance if it is incorrect.

Answer:

8x+7

Step-by-step explanation:

(f+g)(x)=f(x)+g(x)=3x+10+5x-3=8x+7

Answer: [tex]h=8.33\ cm[/tex]

Step-by-step explanation:

Given

The length of a cuboid is [tex]l=15\ cm[/tex]

breadth is [tex]b=12\ cm[/tex]

Total surface area is [tex]S.A.=900\ cm^2[/tex]

Surface area is given by [tex]2(lb+hl+bh)[/tex]

Insert the values

[tex]\Rightarrow 900=2(15\times 12+15h+12h)\\\Rightarrow 450=225+27h\\\Rightarrow 225=27h\\\Rightarrow h=8.33\ cm[/tex]

Answer:

[tex] A)\displaystyle2 < x < 3[/tex]

Step-by-step explanation:

A compound inequality is an inequality that combines two simple inequalities

we are given that

[tex] \displaystyle 4x - 4 < 8 \ \: \text{and} \: \: 9x + 5 > 23[/tex]

solving x for the first equation:

[tex] \displaystyle 4x - 4 < 8[/tex]

add 4 to both sides:

[tex] \displaystyle 4x < 12[/tex]

divide both sides by 4 and since we are dividing both sides by a positive number the inequality won't swap

[tex] \displaystyle x < 3[/tex]

solving x for the second equation:

[tex] \displaystyle 9x + 5 > 23[/tex]

cancel 5 from both sides:

[tex] \displaystyle 9x > 18[/tex]

divide both sides by 9 and since we are dividing both sides by a positive number:

[tex] \displaystyle x > 2[/tex]

therefore by combining the equations we obtain:

[tex] \displaystyle\boxed{2 < x < 3}[/tex]

hence,

our answer is A)

Answer:

[tex]P(B) = 0.90[/tex]

Step-by-step explanation:

Given

[tex]P(A) = 0.1[/tex]

[tex]P(A\ or\ B) = 0.93[/tex]

[tex]P(A\ and\ B) = 0.07[/tex]

Required

[tex]P(B)[/tex]

To do this, we make use of:

[tex]P(A\ or\ B) + P(A\ and\ B) = P(A) + P(B)[/tex]

Make P(B) the subject

[tex]P(B) = P(A\ or\ B) + P(A\ and\ B) - P(A)[/tex]

So, we have:

[tex]P(B) = 0.93 + 0.07 - 0.1[/tex]

[tex]P(B) = 0.90[/tex]

Answer:

The factors of x² - 3·x - 18, are;

(x - 6), (x + 3)

Step-by-step explanation:

The given quadratic expression is presented as follows;

x² - 3·x - 18

To factorize the given expression, we look for two numbers, which are the constant terms in the factors, such that the sum of the numbers is -3, while the product of the numbers is -18

By examination, we have the numbers -6, and 3, which gives;

-6 + 3 = -3

-6 × 3 = -18

Therefore, we can write;

x² - 3·x - 18 = (x - 6) × (x + 3)

Which gives;

(x - 6) × (x + 3) = x² + 3·x - 6·x - 18 = x² - 3·x - 18

Therefore, the factors of the expression, x² - 3·x - 18, are (x - 6) and (x + 3)

Answer:

Amount the driver saved = £408.22

Step-by-step explanation:

Let the original price be = x

Discount % = 55%

Given price after discount = £334

Price after discount = x - (55% of x )

                   [tex]334 = x - (\frac{55}{100} \times x)\\\\334 = \frac{100x - 55x }{100}\\\\334 \times 100 = 45x\\\\x = \frac{334 \times 100}{45} = 742.22[/tex]

Therefore original price = £742.22

Amount the driver saved = 742.22 - 334

                                      = £408.22

Answer:

-15,3   2,-11   -3,-7    12,4

Answer:

[tex]y = \frac{5}{4} x - 5[/tex]

Answer:

[tex]x = 56[/tex]

Step-by-step explanation:

Use tangent function.

[tex] \tan(x) = \frac{18}{12} [/tex]

Take the arctan

[tex] \tan {}^{ - 1} ( \frac{18}{12} ) [/tex]

which is about

0.98279372.

Convert from radians to degrees in you will get

56 degrees.

Answer:

Step-by-step explanation:

You can solve this by using trigonometry and the formula SOH CAH TOA. You're looking for an angle that is adjacent (next to) 12, and opposite 18. Therefore, you will needed to use TOA, which stands for tangent = opposite/adjacent.

With substitution, this gives you tangent  = 18/12. 18/12 is equal to 1.5. Because we are looking for an angle we need to use the tan^-1 (tan to the power of -1) button on our calculator. Tan(1.5)^-1 equals 56.31 to 2dp.

Hope this helps!

Answer:

Step-by-step explanation:

(2x - 6)(3x - 2)

= 2x(3x - 2) - 6(3x - 2)

[tex] = 6 {x}^{2} - 4x - 18x + 12[/tex]

[tex] = 6 {x}^{2} - 22x + 12 \: (ans)[/tex]

Answer:

1682

Step-by-step explanation:

2120 grams of sand in bucket - 438 grams of sand in cup = 1682 :)

Answer:1682

Step-by-step explanation:

Answer:

I think the answer could be linear I think.

Answer:

The patio is actually 24 feet long.                      

Step-by-step explanation:

Key words you need to know here are scale is 1 millimeter = 2 feet and patio is 12 millimeters long.

The question is asking how long is the actual patio, not in the scale drawing, in real life.

To solve this I'm going to set up a ratio, the scale being 1 ratio and the other ratio being 12 millimeters over blank. It's going to look like this :

[tex]\frac{1mm}{2 ft}[/tex] = [tex]\frac{12mm}{x}[/tex]

To solve for x we cross multiply.

1(x) = 12(2)

x = 24

So the actual patio is 24 feet long.

Hope this helped, please mark brainliest if possible. Have a nice day! :)

Answer:

1st answer

Step-by-step explanation:

Answer:

The ratio of any two corresponding lengths in two similar geometric figures.

Step-by-step explanation:

You can see immediately that the length of each of the sides in triangle DEF is equal to the length of the corresponding side in ABC multiplied by “a”.

If you divide the length of DE by the length of AB:

a^2/a =a.

You get a scale factor of “a”

Answer:

X=8

Step-by-step explanation:

[tex](8 \sqrt{2} ) ^{2} = {x}^{2} + {x}^{2} \\ 128 = 2 {x}^{2} \\ {x}^{2} = \frac{128}{2} \\ {x}^{2} = 64 \\ x = 8[/tex]