Which expression is equivalent to 113−−−√5?

Answer:

He sold 38 cars

Step-by-step explanation:

first we subtract his base salary from how much he made, 9,220.11 - 1,137.80 = 8,082.22

then we divide that by the commission he gets from selling 1 car which is 212.29, the equation looks like: 8,082.22 / 212.69 and that equals 38 which means he sold 38 cars.

Answer:

2 and 3

Step-by-step explanation:

prime numbers=2,3,4,5,...

taking 2 and 3

2+3=5

5²=25

hence the different prime numbers are 2 and 3

The numbers can be (2, 7), (2, 23), (3, 13), (5, 11)

A prime number is a whole number greater than 1 whose only factors are 1 and itself.

Given that, Nidah writes down two different prime numbers.

She adds together her two numbers.

Her answer is a square number less than 30

Square numbers less than 30 are = 1, 4, 9, 16, 25

The pairs of numbers that can satisfy the given condition are;

2 + 7 = 9

2 +23 = 25

3 + 13 = 16

5 + 11 = 16

Hence, Nidah could have chosen from these numbers (2, 7), (2, 23), (3, 13), (5, 11)

For more reference on Prime numbers, click;

https://brainly.com/question/15048606

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This question is asking for the y-intercept. The y-int is when x = 0.

First, plug in x as 0...

y = 3(0) + 5

y = 0 + 5

y = 5

Lines come in the form y = mx + b

m is slope, b is the y-intercept

Answer:

$1,041.69

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05 rate per year,

Then solve the equation:

Forumla; P(1 + r/n)nt

700.00(1 + 0.05/4)(4)(8)

700.00(1 + 0.0125)(32)

$1,041.69

hope this helps!

Answer:

$1,041.69

Step-by-step explanation:

Compound interest formula: [tex]A=P(1+\frac{r}{n})^{nt[/tex]

A = amount (future value ($))

P = principal (orignal amount - $700)

R = rate (written as a decimal - 5%/100= 0.05)

N = compound (quarterly - 4) 4 quarters in 1 yr.

T = number of years (8)

[tex]A=P(1+\frac{r}{n})^{nt[/tex]

[tex]A=P(1+\frac{r}{n})^{nt}\\\\A=700(1+\frac{0.05}{4})^{4*8} < == start\ from\ the\ parenthesis\ and\ divide\ first\\\\A=700(1+0.0125)^{4*8} < == add\ the\ \#s\ in\ the\ parenthesis\\\\A=700(1.0125)^{4*8} < == multiply\ the\ exponents\\\\A=700(1.0125)^{32} < ==multiply\\\\A=700(1.488131) < ==multiply\\\\A=1041.691\\\\A=$1,041.69[/tex]

Hope this helps!

Answer:

x is what????

Step-by-step explanation:

Answer:

(4, 4)

Explanation:

(4, 4) is the only point which lies inside both of the inequalities.

Answer:

5.5

3y = x

Step-by-step explanation:

→ Find the scale factor enlargement

12 ÷ 4 = 3

→ Divide 16.5 by 3

5.5

→ Write SF in terms of x and y

3y = x

The Length of BC is 5.5 cm and equation for y in terms of x is y = 3x

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.

According to question

Triangle ABC ≅ triangle PQR  

where,

AB = 4cm

PQ=12cm

RQ= 16.5 cm

AC = xcm

PR= ycm

According to the similarity rule

the same ratio of corresponding sides

therefore,

[tex]\frac{AB}{PQ} = \frac{BC}{QR} = \frac{AC}{PR} \\[/tex]

(a) Calculate the length of BC

[tex]\frac{AB}{PQ} = \frac{BC}{QR}[/tex]

⇒ [tex]\frac{4}{12} = \frac{BC}{16.5}[/tex]

⇒ [tex]\frac{1}{3} = \frac{BC}{16.5}[/tex]

⇒ BC = 5.5 cm

 (b) Write down an expression for y in terms of x

we know  ,  [tex]\frac{AB}{PQ} = \frac{AC}{PR} \\[/tex]

⇒ [tex]\frac{4}{12} = \frac{x}{y} \\[/tex]

⇒ [tex]\frac{1}{3} = \frac{x}{y} \\[/tex]

⇒ [tex]y=3x[/tex]

Hence, Length of BC is 5.5 cm and equation for y = 3x

To know more about similarity in triangles  here :

https://brainly.com/question/20502441

# SPJ2

Answer:

r = 15

The radius of the sphere is 15 feet.

Step-by-step explanation:

see image.

Use the formula for the volume of a sphere:

V = 4/3 • pi • r^3

Fill in the 4500pi that is given for the V.

4500pi = 4/3 • pi•r^3

Then solve for r.

see image.

Multiply by 3/4 to get rid of the 4/3.

Divide both sides by pi.

Then cube root to get rid of the third power on the r.

see image.

Don't forget units.

r = 15 feet

Hope this helps! Pls mark Brainliest! tysm!

Answer:

x = 71

Step-by-step explanation:

The horizontal lines are parallel, right?

So that means the degrees shown are complimentary angles(they add up to 180 degrees, a straight line)

so that means the algebraic equation is 109 + x = 180

x = 180-109

x = 71

Hope this helps. Mark brainliest if best., if not, hope it helps anyway.

Answer: 60 times 4 = 240 or 60 time 4 square is 960

Step-by-step explanation:

Answer:There are 7 daises

Step-by-step explanation: half of 16 roses is 8 and half of 14 daises is 7. given the ratios from roses to daises is 8:7

Answer:

10 daisies

Step-by-step explanation:

Answer:

m∠O=67

Step-by-step explanation:

m∠O=180-m∠R-the other angle since it is not given we can assume that the other angle is the same as m∠O so you divide 134 by 2 to get 67 therefore m∠O=67

Answer:

x = 16.71m

Step-by-step explanation:

KL² = KX² + LX² - 2KX × LX × cos(KXL)

x² = 26² + 20² - 2 × 26 × 20 × cos(40°)

x = 16.713m ≈ 16.71m

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Answer:

The density is 0.2g/mL^2.

Step-by-step explanation:

Answer:

ο Neither is correct.

Step-by-step explanation:

1) the vertex has coordinates (5;-7) the equation must be made up according to the rule: y=(x-x₀)²-y₀, where (x₀;y₀) - the coordinates of the vertex;

2) according to the rule above the equation of the given graph is:

y=(x-5)²-7;

3) finally, 'neither is correct'

Answer:

should be 110

Step-by-step explanation:

hope that helps!

Answer:

Step-by-step explanation:

4x + y = 2

y = -4x + 2

4 ft³

volume of rectangle = length x width x height

given:

volume of basket:

l * w * d

2 * 1 * 2

4 ft³

Answer:

4 ft³

Step-by-step explanation:

Volume of a square prism

volume = l × w × d

(where l is the length, w is the width and d is the depth)

Given:

⇒ volume = 2 × 1 × 2

                 = 4 ft³

Answer:

Its 3 because the radius if half of the diameter

Step-by-step explanation:

Answer:

3/17=.18

Step-by-step explanation:

There is a .18 or 3/17 chance that a car leaving will be black.

Answer:

C is the answer

Good luck! :)

Answer:

15% off

Step-by-step explanation:

28-23.80 = 4.2$

23.8/28 = 0.85

100-85 = 15

15%

Answer:

6468 mm²

Step-by-step explanation:

Given:

Therefore, the area of the small rectangle is:

= width × length

= 21 × y

= 21y mm²

From inspection of the larger rectangle

Therefore, the area of the larger rectangle is:

= width × length

= 84(2y + 21)

= 168y + 1764 mm²

We know that the area of the larger rectangle is 11 times the area of the smaller rectangle. Therefore,

⇒ 11 small rectangles = larger rectangle

⇒ 11(21y) = 168y + 1764

⇒ 231y = 168y + 1764

⇒ 63y = 1764

⇒ y = 28

Therefore, the missing side length of the smaller rectangle is 28 mm.

Finally, to find the area of the larger rectangle, substitute the found value of y into the found expression for its area:

⇒ area = 168y + 1764

⇒ area = 168(28) + 1764

⇒ area = 4704 + 1764

⇒ area = 6468 mm²

Answer: C

Step-by-step explanation:

Given:

Sample size (n) = 50

x = 12

[tex]\widehat{\mathbf{p}}=\frac{\mathbf{x}}{n}=\frac{12}{50}=0.24[/tex]

Confidence level = 90%

α = 1 − 0.90 = 0.10

α/2 = 0.05

[tex]\text { Critical value }\left(z_{c}\right)=z_{\frac{\alpha}{2}}=z_{0.05}=1.6449[/tex]

(from standard normal table)

90% Confidence interval is,

[tex]\begin{aligned}&\text { Confidence interval }=\widehat{\mathbf{p}} \pm z_{c} \times \sqrt{\frac{\hat{\mathbf{p}}(1-\hat{\mathbf{p}})}{n}} \\&\text { C. I }=0.24 \pm 1.6449 \times \sqrt{\frac{0.24(1-0.24)}{50}} \\&\text { C. I }=0.24 \pm 1.65 \times \sqrt{\frac{0.24(1-0.24)}{50}}\left\end{aligned}[/tex]

Therefore, 90% confidence interval for the true proportion of sophomores who favour the adoption of uniforms is C

Answer/Step-by-step explanation:

Given:

Seven more than the quotient of a number b and 45 is greater than 5

So:

Seven more than the quotient of a number b and 45 is greater than 5

=

7 + b/45 > 5

Solve if needed:

[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:b > -90\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-90,\:\infty \:\right)\end{bmatrix}[/tex]

[tex]\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}[/tex]

[tex]7+\frac{b}{45}-7 > 5-7[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\frac{b}{45} > -2[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}45[/tex]

[tex]\frac{45b}{45} > 45\left(-2\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]b > -90[/tex]

~Lenvy~

Answer: 33

To maximize the length of the third side, which I'll call x, it needs to be the longest side.

So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.

Answer: a 5/24

Step-by-step explanation:

3 + 5 + 1 = 9

First = Pop Song     P = 3/9  = 1/3

Seconed = Hip Hop Song       P2 =  5/9-1   = 5/8

So P = 1/3 x 5/8 = 5/24

So that makes A the correct answer