MATH WEEK 5 HOMEWORK

Answer:

the answer is option 4th

Answer:

The longest side is 16 cm

Step-by-step explanation:

[tex]x + (x + 2) + (x + 4) = 42cm \\ x + x + 2 + x + 4 = 42cm \\ 3x + 6 = 42cm \\ 3x = 36cm \\ x = 12[/tex]

check and finish

[tex]12 + (12 + 2) + (12 + 4) = 42cm \\ 12 + 12 + 12 + 6 = 42 cm\\ 36 + 6 = 42cm \\ 42cm = 42cm[/tex]

lengths of sides

[tex]12 + 4 = 16cm \\ 12 + 2 = 14cm \\ 12cm[/tex]

Answer:

-2 1/10

Step-by-step explanation:

This simplifies to 21/4 divided by 5/2. Keep, change, flip. 21/4 x -2/5. -42/20 which equals -2 2/20 which simplifies to -2 1/10.

Answer:

Target

Step-by-step explanation:

Home depot

15 dollars/ 30 ornaments = .50  per ornament

Target

9 dollars/ 20 ornaments =.45 per ornament

Target costs less

Answer:

Target is cheaper .45 each

Home Depot is .50 each

Step-by-step explanation:

Answer:

9x + 10y - (-x + 9y) (9x + 10y) + x -9y

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

n over 81 = 2 over 27 = 27n over 27 = 2×81 over 27 =6

Answer:

the mass of 30,00 molecules of oxygen is gram

Step-by-step explanation:

plz brainliest

Answer:

35 LCD monitors.

Step-by-step explanation:

The ratio is 2:5, which means the total amount of parts is 7 (2 + 5 = 7).

There are 49 monitors in all. Divide 49 with 7:

49/7 = 7

Each part has 7 monitors within. Remember, there are 5 parts of LCD monitors compared to 2 CRT monitors. Multiply 7 with 5:

7 x 5 = 35.

There are 35 LCD monitors, and 14 CRT monitors.

~

Answer:

5/3

1.6

Step-by-step explanation:

mixed number from: 1 2/4

Answer:

inih bagus menurut kamuh inih bagus tidak

A point estimate of the percentage of defectives in all manufactured bulbs is the Sample proportion.

p'= x / n where x is the number of successes and n is the sample size. The variable p is the sample ratio and serves as a point estimate of the true ratio of the population.

Point estimation for population parameters is a single value for statistics. For example, the sample mean x is a point estimate of the population mean μ. Similarly, the sample ratio p is a point estimate of the population ratio P.

The average point estimate for the population is obtained by calculating the average of the samples taken from the population. The average calculation is the sum of all samples divided by the number of values.

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Answer:

See below

Step-by-step explanation:

The points are located:

See the attached

Answer:

(1,-2)

Step-by-step explanation:

Answer:

four servings

Step-by-step explanation:

Answer:

Answer:

side a = 30 feet long.and side b = 30-14 = 16 feet long.

Step-by-step explanation:

Right triangle, with sides a, b=a-14 and h=34

By Pythagorean rule, h2 = 342 = a2 + b2 = a2 + (a-14)2 ==> a2 + a2 - 28a + 196

Simplify to get 1156 = 2a2 - 28a + 196

Subtract 1156 from both sides to get 2a2 - 28a - 960 = 0

Divide all terms by 2: a2 -14a - 480 = 0

Use quadratic equation to find that a = 30 or a = -16.

a = -16 will not work.

Therefore side a = 30 feet long.and side b = 30-14 = 16 feet long.

Check: 302 + 162 = 900+256=1156. SQRT(1156) = 34 feet, the given hypotenuse.Right triangle, with sides a, b=a-14 and h=34

By Pythagorean rule, h2 = 342 = a2 + b2 = a2 + (a-14)2 ==> a2 + a2 - 28a + 196

Simplify to get 1156 = 2a2 - 28a + 196

Subtract 1156 from both sides to get 2a2 - 28a - 960 = 0

Divide all terms by 2: a2 -14a - 480 = 0

Use quadratic equation to find that a = 30 or a = -16.

a = -16 will not work.

Therefore side a = 30 feet long.and side b = 30-14 = 16 feet long.

Check: 302 + 162 = 900+256=1156. SQRT(1156) = 34 feet, the given hypotenuse.

The side length of the other sides is 30 feet and 16 feet if the shorter leg of a right triangle is 14 feet less than the other leg.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

It is given that:

The shorter leg of a right triangle is 14 feet less than the other leg.

From the Pythagoras theorem:

hypotenuse² = perpendicula² + base²

perpendicular = base - 14

34² = (base - 14)² + base²

34² = base² - 28base + 196 + base²

2base² - 28base - 960 = 0

base = 30, -16

side length cannot be negative

base = 30 feet

The length of another leg:

perpendicular = 30 - 14 = 16 feet

Thus, the side length of the other sides is 30 feet and 16 feet if the shorter leg of a right triangle is 14 feet less than the other leg.

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Answer:

34

Step-by-step explanation:

51/3/2=51x2/3=102/3=34

5 1/3 divided by 2 is actually 2.6 or 8/3

Answer:

c

Step-by-step explanation:

c

Answer:

[tex] - 3x + 12 < 18 \\ - 3x < 18 - 12 \\ - 3x < 6 \\ - x < \frac{6}{3} \\ - x < 2 \\ x > - 2 \\ thank \: you[/tex]

Answer:

x > -2

Step-by-step explanation:

Q. Solve the inequality.

-3x + 12 < 18

Solve for x.

Step 1:- Move constant to the right hand side and change their sign.

Step 2:- Subtract.

Step 3:- Divide both side of the inequality by -3 and flip the inequality sign.

Answer:

85 degrees.

Those two quads are Similar polygons. Just match up the shape and basically do 360 - 110 - 75 - 90 = 85.

Answer: This person worked 40 hours at a $7.50 rate.

Step-by-step explanation: Given the pay rate, hours worked, tax deductions, and social security deduction, determine the gross earnings, group health insurance (assuming 15% of gross earnings), pension deduction (assuming 6.5% of gross earnings), total deductions, and net pay. This person worked 40 hours at a $7.50 rate.

Answer:

[tex]u=16.0024213[/tex]

Step-by-step explanation:

[tex]-4.13(u-19)=12.38\\-(4.13u-4.13*19)=12.38\\-(4.13u-78.47)=12.38\\(-4.13u+78.47)+(-78.47)=12.38+(-78.47)\\-4.13u+78.47-78.47=12.38-78.47\\-4.13u=-66.09\\\frac{4.13u}{4.13} =\frac{66.09}{4.13} \\u=\frac{66.09}{4.13} \\u=16.0024213[/tex]

Answer:

M' (-2 , -5),  A'(1 , -1),  P'(-7 , -1)

Step-by-step explanation:

Rotation clockwise 90° = rotation CCW 270°

Formula for rotation CCW 270° around a point (x',y') for original (x,y)

x'' = (x-x') cos 270° - (y-y') sin 270° + x'

y'' = (x-x') sin 270° + (y-y') cos 270° + y'

cos 270° = 0 and sin 270° = -1

x'' = - (y-y') sin 270° + x' = (y-y') + x'

y'' = (x-x') sin 270°  + y' = (x'-x) + y'

M': x = (4 - -1) + (-7) = -2

     y = (-7 - -3) + (-1) = -5

A': x = (7 - -1) + (-7) = 1

    y = (-7 - -7) + (-1) = -1

check

P': x = (-1 - -1) + (-7) = -7

    y = (-7 - -7) + (-1) = -1

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Another way of thinking is to suppose P is (0,0) and locate other points' coordinate relative to P. Such as M(4,5), A(0,8)..

when it rotate CW 90° (x,y) -> (y , -x) will becomes (5 , -4) and (8 , 0). while (5 , -4) relative to p(-7 , -1) is (-7+5 , -1-4) i.e. ( -2 , -5) at original plane and (1 , -1) for point A'

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Answer:

Hope this helps!

Step-by-step explanation:

List the prime factors of each number.

Circle every common prime factor — that is, every prime factor that's a factor of every number in the set.

Multiply all the circled numbers. The result is the GCF.

The percentage increase in the value of y due to the increase in x by 21% is 10%

Inverse relationship :

y = k/√x - - - - - - (1)

Increase in x by 21% = 0.21

y = k/√1+0.21x

y = k/√1.21x

y = k/ 1.1√x - - - (2)

Comparing the (1) and (2)

y has changed from 1 to 1.1

Increase in y = (1.1 - 1) = 0.1

Expressing the increase as a percentage :

0.1 × 100% = 10%

Hence, the percentage increase in y is 10%

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Answer:

In fraction form, it would be 3/2