If 60 boxes in a 10-by-10 grid are shaded, which fraction is equivalent?
A) 1/2
B)3/5
C)7/10
D)3/4

Answer:

3x+1 and x+5 are the factors

Step-by-step explanation:

Here's the slide-and-divide method to find the factors:

[tex]3x^2+16x+5[/tex]

[tex]\frac{3x^2}{3}+16x+5(3)[/tex]

[tex]x^2+16x+15[/tex]

[tex](x+1)(x+15)[/tex]

[tex](3*x+1)(x+\frac{15}{3})[/tex]

[tex](3x+1)(x+5)[/tex]

Step-by-step explanation:

x = hours donuts

y = hours books

x + y = 20

10.25x + 8.75y = 196

from the first equation we get

x = 20 - y

that we use now in the second

10.25×(20 - y) + 8.75y = 196

205 - 10.25y + 8.75y = 196

-1.5y = -9

1.5y = 9

y = 9/1.5 = 6

x = 20 - y = 20 - 6 = 14

he worked 14 hours in the donut shop and 6 hours in the bookstore.

Answer:

y = [tex]\frac{4}{5}[/tex] x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, 3 ) and (x₂, y₂ ) = (0, - 1 )

m = [tex]\frac{-1-3}{0-5}[/tex] = [tex]\frac{-4}{-5}[/tex] = [tex]\frac{4}{5}[/tex]

The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1

y = [tex]\frac{4}{5}[/tex] x - 1 ← equation of line

Answer: (8, -2)

Step-by-step explanation:

the corner of the triangle which is Q when reflected would end up at (8, -2)

Answer:

(8, -2)

Step-by-step explanation:

Point Q is on (8,2).

The rule for a reflection over the x -axis is:

(x,y) -->(x,−y)

Notice how the sign of 'y' is changed. This means that point Q' would be (8, -2).

[tex]Q(8,2)\rightarrow Q'(8,-2)[/tex]

Hope this helps.

The product of both functions using the distributive law is [tex]-4z^3 + 5z^2 + 29z - 24[/tex]

We are to find the product of (4z^2+7x-8) and (-z+3)

Product  =  (4z^2+7z-8)(-z+3)

Using the distributive law:

[tex]P =4z^2(-z) + 4z^2(3) + 7z(-z) +7z(3)-8(-z) -8(3)\\P = -4z^3 + 12z^2 - 7z^2 + 21z + 8z - 24\\P = -4z^3 + 5z^2 + 29z - 24[/tex]

Hence the product of both functions using the distributive law is [tex]-4z^3 + 5z^2 + 29z - 24[/tex]

Learn more on product of functions here: https://brainly.com/question/25638609

Answer:

Q20     b.16

Q21      a.6

Step-by-step explanation:

count charcters  Have a nice day!  ==16

Q21    why 6

because index start with 0 and not 1

just count

H ==> 0

e==> 1

l==> 2

.

.

W=>6

Answer:

$44.68

Step-by-step explanation:

plus you have would have to find out what the money would be 10% off and then you add on the sales tax

Answer:

(5,11)

(0,1)

(-2,-3)

Step-by-step explanation:

y=2(5)+1

y=10+1

y=11

so... (5,11)

y=2(0)+1

y=0+1

y=1

so... (0,1)

y=2(-2)+1

y=-4+1

y=-3

so... (-2,-3)

The interest and amount to be paid by Tom after stipulated time is 432; 1632.

Principal=Rs1200

Rate=12%

Time=3year

Interest:

Interest=  Principal ×Rate ×Time/100

Interest=  1200×12×3/100

Interest​=Rs432

Amount:

Amount=1200+432

Amount=1632

Inconclusion the interest and amount to be paid by Tom after stipulated time is 432; 1632.

Learn more about interest here:https://brainly.com/question/25545513

Answer: A. 100%

Step-by-step explanation:

Answer:

1115.49 feet

Step-by-step explanation:

To convert meters to feet, multiply 340 meters by 3.281 because there are approximately 3.281 feet in 1 meter.

340*3.281= 1115.49

Answer:

21.5

Step-by-step explanation:

Make sure they are in order.

A median is basically (or literally) the number in the middle of the data set.

In this case, it is 19 and 24. To get the middle number, you have to:

Add the two numbers and divide them by 2.

19 + 24 = 43

43/2 = 21.5

Answer: 871195

Step-by-step explanation:

Answer:

$41.78

Step-by-step explanation:

tax is 4.5% on top of original price of 39.98

so multiplying 39.98 by 1.045 gives us 41.78

you multiply by 1.045 because 4.5% is the same as 0.045 and the 39.98 represents 100% of the price so it is 1 and you are paying 104.5% of that price for it when tax is included

Applying the inscribed angle theorem, the missing measures are:

1. m∠EDA = 29°

2. m∠BDC = 21°

3. m∠BDC = 21°

4. measure of arc AB = 80°

5. m∠AEB = 40°

6. m∠AEB = 29°

7. m∠BAC = 21°

8. measure of arc ED = 90°

9. m∠ECD = 45°

10. m∠ACB = 40°

11. m∠EBD = 45°

12. m∠ADB = 40°

13. m∠CAD = 45°

14. m∠EAB = 111°

15. m∠EBC = 90°

The inscribed angle theorem states that, if ∠a is an inscribed angle, that intercepts arc AB, therefore: m∠a = ½(measure of arc AB).

The diagram showing circle P is attached below. We are given the following:

measure of arc EA = 58°

measure of arc BC = 42°

measure of arc CD = 90°

Thus:

1. m∠EDA = ½(measure of arc EA)

m∠EDA = ½(58)

m∠EDA = 29°

2. m∠BDC = ½(measure of arc EA)

m∠BDC = ½(42)

m∠BDC = 21°

3. m∠BEC = ½(measure of arc BC)

m∠BDC = ½(42)

m∠BDC = 21°

4. measure of arc AB = 180 - 58 - 42

measure of arc AB = 80°

5. m∠AEB = ½(measure of arc AB)

m∠AEB = ½(80)

m∠AEB = 40°

6. m∠ECA = ½(measure of arc EA)

m∠AEB = ½(58)

m∠AEB = 29°

7. m∠BAC = ½(measure of arc BC)

m∠BAC = ½(42)

m∠BAC = 21°

8. measure of arc ED = 180 - 90

measure of arc ED = 90°

9. m∠ECD = ½(measure of arc ED)

m∠ECD = ½(90)

m∠ECD = 45°

10. m∠ACB = ½(measure of arc AB)

m∠ACB = ½(80)

m∠ACB = 40°

11. m∠EBD = ½(measure of arc ED)

m∠EBD = ½(90)

m∠EBD = 45°

12. m∠ADB = ½(measure of arc AB)

m∠ADB = ½(80)

m∠ADB = 40°

13. m∠CAD = ½(measure of arc CD)

m∠CAD = ½(90)

m∠CAD = 45°

14. m∠EAB =  ½(180 + 42)

m∠EAB = ½(222)

m∠EAB = 111°

15. m∠EBC = ½(measure of arc EDC)

m∠EBC = ½(180)

m∠EBC = 90°

Learn more about the inscribed angle theorem on:

https://brainly.com/question/14267250

Proof:-

In ∆XYZ and ∆VWZ

[tex]\because\sf\begin{cases}\sf XZ\cong VZ(Given)\\ \sf YZ\cong WZ(Given)\\ \sf <XZY\cong <WZV(Opposite angles)\end{cases}[/tex]

Hence

∆XYZ[tex]\cong[/tex]∆VWZ(Side-Angle-Side)

Hope it helps just read it and type it in XD

Answer:

Divide everything by 100.

Step-by-step explanation:

If you divide every number you want by 100, you get a decimal out of 100.

Answer:

-35

Step-by-step explanation:

Answer:

Step-by-step explanation:

m∠BCD= m∠ACB ÷ 2 = 134.76° ÷ 2 = 67.38°

Ok done. Thank to me :>

Answer:

- [tex]\frac{7}{6}[/tex]

Step-by-step explanation:

I hope this helps

Step-by-step explanation:

3(4x - 2) = 12x - 6

12x - 6 = 12x - 6

that is always true, no matter what value we pick for x.

so, this has infinite many solutions.

3(4x - 2) = -12x - 6

12x - 6 = -12x - 6

24x = 0

x = 0

this has one solution.

-3(4x - 2) = -12x - 2

-12x - 6 = -12x - 2

-6 = -2

this is never true, no matter what value we pick for x.

so, this has no solution at all.

Answer:

see below

Step-by-step explanation:

Hi!!

Here's how I found it:

First, I simplified all my equations.

1.12x-6=12x-6

2.12x-6=-12x-6

3.-12x+6=-12x-2

#1 has infinite solutions, given that the equations are identical to eachother. Any value of x will sufice.

#2 can be simplifed with algebra.

Cancel out the -6, since it is on both sides.

we are left with 12x=-12x, which can be solved with the value of 0. This has one solution.

#3 can also be simplifed using algebra.

Cancel out the -12x, since both sides have that.

you are left with:

6=-2

this will never have a solution, therefor, it is no solution.

Answer:

12 is not an outlier as it is not greater than 13.

Step-by-step explanation:

2, 2, 3, 3, 4, 5, 5, 6, 7, 9, 12

Median = 5

Q₁ = 3 (3rd term in sequence)

Q₃ = 7 (9th term in sequence)

IQR = 4

Outliers are either values significantly larger or smaller than the rest of values;

The upper limit is the value above which it can be considered an outlier, it is found by: Q₃ + ³/₂(IQR)

The lower limit is found by: Q₁ - ³/₂(IQR)

Outliers < 3 - ³/₂(4)

Outliers < -3

Outliers > 7 + ³/₂(4)

Outliers > 13

The lower limit is -3 and the upper limit is 13

Answer:

nope

Step-by-step explanation:

A-(b-c)=(A-b)-c

let a be 2, b be 3 and c be 4

2-(3-4)=(2-3)-4

2-(-1)=(-1)-4

2+1=-1-4

3=-5

therefore, association is not goot under subtraction

Answer:

No, the associative property does not hold good for the subtraction of integers.

Answer:

£39.20

Step-by-step explanation:

2+1+5=8

£78.40/8 = 9.8

9.8*5= 49

49-9.8= 39.2

Answer:

4:1

Step-by-step explanation:

Answer:

edge of cube = 20 cm

volume of cube = 20x20x20

volume of each small cube = 5x5x5

number of cubes

= (20x20x20)/(5x5x5)

=64

Step-by-step explanation:

I believe that is the answer im sorry in advanced if its not.