Find the equation of the lines a and b

Answer:

He had 31 points in the first round.

Step-by-step explanation:

Answer:

39-8= 31

Step-by-step explanation:

let the first round be x

second round =8

first round + the second round = 39

therefore, x+8=39

collect like terms

x= 39-8= 31.

so the answer is 31

Answer:

10

Step-by-step explanation:

Lower quartile (Q₁) = 25

Upper quartile (Q₃) = 35

Interquartile range (IQR) = Q₃ - Q₁ = 35 - 25 = 10

(see attachment)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

x=3i, -3i

Hey there!

4 + 5x + 66 = x + 10

70 + 5x = x + 10

5x + 70 = x + 10

SUBTRACT x to BOTH SIDES

5x + 70 - x = x + 10 - x

5x + 70 - 1x = 1x + 10 - 1x

SIMPLIFY IT!
4x + 70 = 10

SUBTRACT 70 to BOTH SIDES

4x + 70 - 70 = 10 - 70

SIMPLIFY IT!
4x = -60

DIVIDE 4 to BOTH SIDES

4x/4 = -60/4

SIMPLIFY IT!
x = -60/4

x = -15

Therefore, your answer is: x = -15

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Given :

#1 : Combine like terms on each side.

#2 : Subtract x from each side.

#3) Subtract 70 from each side.

#4) Divide 4 from each side.

Solution : x = -15

[tex]4x-5 = 3[/tex]

[tex]4x = 8[/tex]

[tex]x = 8÷4[/tex]

[tex]x = 2[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \large \textbf{Let's evaluate~} [/tex]

The inequality that represents the possible combinations of candy bars and  lollipops that he can buy is given by:

[tex]0.45x + 0.25y \leq 28[/tex]

The total price can be no more than $28, hence:

[tex]T \leq 28[/tex]

Each candy bar costs $0.45 and each lollipop costs $0.25. x is the number of candy bars and y of lollipops. Hence, the total price is given by:

T = 0.45x + 0.25y.

Hence, the inequality that models the situation is:

[tex]0.45x + 0.25y \leq 28[/tex]

More can be learned about inequalities at brainly.com/question/25235995

Answer:

2147483648

Step-by-step explanation:

The pattern being used is x4.

8 x 4 = 32

32 x 4 = 128

128 x 4 = 512

512 x 4 = 2048

2048 x 4 = 8192

8192 x 4 = 32768

32768 x 4 = 131072

131072 x 4 = 524288

524288 x 4 = 2097152

2097152 x 4 = 8388608

8388608 x 4 = 33554432

33554432 x 4 = 134217728

134217728 x 4 = 536870912

536870912 x 4 = 2147483648

Answer:

xz=cb            = 45/60 = .75

zy=ab            = 30/40 = .75

xy=ac             = 37.5/50 = .75

Step-by-step explanation:

all lines when put into ratio format show .75 scale factor big to little triangle side lengths.

Answer:

cosB = cos (π/2-A)

= sinA

=8/9

Step-by-step explanation:

Answer:

n=7

[tex]3 {n}^{2} = 147 \\ {n}^{2} = \frac{147}{3} \\ \sqrt{ {n}^{2} } = \sqrt{49} \\ n = 7[/tex]

Answer: A

Step-by-step explanation:

Answer:

measurement precision

Step-by-step explanation:

The consistency of repeated measurement, often expressed by the number of decimal places, is called a measurement's precision.

Answer:

Step-by-step explanation:

Answer:

39.76

Step-by-step explanation:

8 x 8.3 = 66.4

2640/66.4 = ( when rounded to the nearest tenth) 39.76

Answer:

1/12

Step-by-step explanation:

Given

Solving

Answer:

[tex]\dfrac{1}{12}[/tex]

Step-by-step explanation:

Rewrite the denominators as products of factors, then cancel the common factors.

[tex]\begin{aligned}\dfrac{5}{14} \times \dfrac{7}{30} & =\dfrac{5}{2 \cdot 7} \times \dfrac{7}{6 \cdot5}\\\\ & = \dfrac{5 \cdot 7}{2 \cdot 7 \cdot 6 \cdot 5}\\\\ & = \dfrac{1}{2 \cdot 6}\\\\ & = \dfrac{1}{12}{\end{aligned}[/tex]

Answer:

a and c

Step-by-step explanation:

Answer:

D) x^2 + 4x - 21 = 0

Step-by-step explanation:

Answer:

Top-

11.5 or the square root of 133

Bottom-

15.3 or the square root of 235

Answer:

c) [tex]x=\sqrt{133}[/tex]

d)[tex]x=\sqrt{235}[/tex]

Step-by-step explanation:

Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex]

c) Solve for that side length and then solve for x

[tex]4^2+y^2=10^2\\y=\sqrt{133} \\(\sqrt{84} )^2+7^2=x^2\\x=\sqrt{133}[/tex]

d) Solve for that side length and then solve for x

[tex]5^2+y^2=10^2\\y=\sqrt{(16^2-5^2)} \\(\sqrt{231} )^2+7^2=x^2\\x=\sqrt{235}[/tex]

Answer:

[tex]A = 43.1\ cm^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area

[tex]A=\frac{1}{4}\sqrt{5(5+2\sqrt{5})}*a^2[/tex]

[tex]A=\frac{1}{4}\sqrt{5(5+2\sqrt{5})}*(5\ cm)^2[/tex]

[tex]A = \frac{1}{4}*6.8819*25\ cm^2[/tex]

[tex]A = 43.1\ cm^2[/tex]

Answer:  [tex]A = 43.1\ cm^2[/tex]

Step-by-step explanation:

what happens, when we actually calculate the given fractions ?

after all, a fraction is always a division.

so,

1/3 = 0.3333333333...

1/25 = 0.04

1/5 = 0.2

1/4 = 0.25

aha !

1/4 is the correct answer.

Answer:

c. 8

Step-by-step explanation:

Length of an arc

Given

Solving

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Since there are a total of 4 colors, and there are 5 of each colors, the total marbles in the bad would be;

5 x 4 = 20

If a color is selected at random the probability would be

[tex]\frac{part}{whole}[/tex]

our part is 5

our whole is 20

so the probability would be;

[tex]\frac{5}{20}[/tex] or [tex]\frac{1}{4}[/tex] when reduced

Hope this helps!

Answer  

1/4

Step-by-step explanation:

I dont know im just guessing sorry

I might not be correct.

Answer: A

Step-by-step explanation:

Answer:

[tex]8\frac{2}{6}\\\\2\frac{1}{5}[/tex]

Fractions are sometimes the same as dividing, for this case, that rule applies.

[tex]\frac{50}{6}\\\\\frac{11}{5}[/tex]

↑ These improper fractions translate to...

[tex]\frac{50}{6} = 8\frac{1}{3} -- > 8\frac{2}{6} \\\\ \frac{11}{5} = 2\frac{1}{5}[/tex]

Answer:

1)  D. 8 2/6 hotdogs

2)  B. 2 1/5 cakes

Step-by-step explanation:

1) If she's dividing 50 hotdogs equally among 6 people, then you would divide 50 by 6 to find how many each person gets.
note: 50 ÷ 6 is the same as [tex]\frac{50}{6}[/tex].

[tex]\frac{50}{6}[/tex] =  [tex]8\frac{2}{6}[/tex]

6 can go into fifty 8 times, so there is a whole number of 8. There is 2/6 left over, so the final result is [tex]8\frac{2}{6}[/tex].

2) If Sako makes 11 cakes and wants to share it equally among 5 people, we can divide 11 by 5 to find how many each person gets.

[tex]\frac{11}{5} =2\frac{1}{5}[/tex]

5 can go into eleven 2 times, so there is a whole number of 2. There is 1/5 leftover, so the final result is [tex]2\frac{1}{5}[/tex].

Hence, the answers are D, and B.

hope this helps!

Answer:

See below

Step-by-step explanation:

1/3 (300000) = 100 000      80% of this = 80 000

2/5 (300000) = 120000    125% of this = 150 000    total so far = 230 000

Overall 10% profit would yield  300000(1.1) = 330 000

 the remaining land needs to sell for

    330 000 - 230000 =    100 000