Solve the simultaneous equations
4x + 3y = 21
and
4x + 2y = 16

Answer:

3x - 2y

= 3(2) - 2(10)

= 6 - 20

= -14

the answer is C

Answer:

[tex]x=2[/tex]

[tex]y=10[/tex]

So the multiply 3 × 2

[tex]3 * 2=6[/tex]

Then multiply 2 × 10

[tex]2 * 10=20[/tex]

Then subtract 6 - 20.

This shows that the answer will be negative.

[tex]6-20= -14[/tex]

So the answer is [tex]-14[/tex]

Hope this helps

(＾▽＾)

Answer:

42°

Step-by-step explanation:

given OA and OC are perpendicular, the angle between the lines are 90°

this means that ∠AOB and ∠BOC add up to 90°, i.e.

(6x-6) + (5x+8) = 90

6x-6 + 5x+8 = 90

11x - 6 +8 = 90

11x + 2 = 90 (subtract 2 from both sides)

11x = 90- 2

11x = 88 (divide both sides by 11)

x = 8  

Hence, m∠BOC

= 6x - 6

= 6(8) - 6

= 48 - 6

= 42°

Answer:

f(x)=9x-8

y=9x-8 replace y with x

x=9y-8

x+8=9y

y=(x+8)/9

f^-1(x)=(x+8)/9

Step-by-step explanation:

Answer:

C.  Lincoln Forest is at sea level

Step-by-step explanation:

Elevation above sea level is indicated for several points in the table

Positive number indicates points above, negative number indicates points below, zero elevation indicated points at sea level

So, the answer for Lincoln Forest is:

Answer:

Step-by-step explanation:

Let us first calculate the circumference of the circular of the circular garden

[tex]C= 2\pi r[/tex]

Given

r= 100

[tex]C= 2*3.142*100\\C= 628.4 ft[/tex]

Since the desired space between flowers is 4ft

Then the flowers needed for the garden is  [tex]\frac{628.4}{4} = 157.1[/tex]

Approximately the number of flowers is 157

Answer:157

Step-by-step explanation:

Answer:

6566

Step-by-step explanation:

Answer:

6566

Step-by-step explanation:

Answer: (D)

Step-by-step explanation:

Let 8/9=x/12

9*x=12*8

9x=96

x=10.7

Answer:

[tex]0.50 \leq \frac{x+2}{x+10}\\[/tex]

At least 6 strikes

Step-by-step explanation:

The required numerical data is missing from the question. In the original question, Roni gets a strike 2 out of 10 times and her goal is to have a minimum strike rate of 50%. The number of consecutive strikes required is given by the following inequality:

[tex]0.50 \leq \frac{x+2}{x+10}\\[/tex]

Solving the inequality:

[tex]0.5x+5 \leq x+2\\3\leq0.5x\\x\geq6[/tex]

Roni needs at least 6 strikes.

After 6 strikes, she would have 8 out of 16, which equals exactly 50%.

Answer:

(B) [tex]76\pi$ sq. in.[/tex]

Step-by-step explanation:

Since the base of the cone and one circular face of the cylinder is not visible,

The surface area of the rocket=Base Area of the Cylinder+Lateral area of the Cylinder+Lateral Area of the Cone+

[tex]R$adius =4 Inches\\Height of the cylinder =5 Inches\\Therefore:\text{Lateral area of a Cylinder+Base Area of the Cylinder}=2\pi rh+\pi r^2\\=(2\times \pi \times 4 \times 5)+(\pi \times 4^2)\\=40\pi+16\pi \\=56\pi$ sq. in.[/tex]

Lateral Area of a Cone [tex]=\pi rl[/tex]

Using Pythagoras theorem:

[tex]Hypotenuse =\sqrt{opposite^2+adjacent^2} \\=\sqrt{3^2+4^2} \\=\sqrt{25}\\ =5 in.[/tex]

Therefore: Lateral Area of a Cone [tex]=\pi \times 4\times 5 =20\pi$ sq. in.[/tex]

Therefore, Surface area of the rocket

[tex]=56\pi+20\pi\\=76\pi$ sq. in.[/tex]

Answer:

The answer is 76π sq. in.

Step-by-step explanation:

Took the quiz and that was correct.

Please see the attached picture for full solution....

Hope it helps...

Good luck on your assignment...

Answer:

m∠A 60°, m∠B= 120°, m∠C =60°, m∠D=120°

Step-by-step explanation:

[tex] In\: ||^{gm} \: ABCD, \: BK\perp AD... (given) \\

\therefore \angle BKA = 90\degree \\

In\:\triangle BKA, \\\\

\cos \angle A = \frac{AK}{AB}\\\\

\cos \angle A = \frac{3}{6}\\\\

\cos \angle A = \frac{1}{2}\\\\

\cos \angle A = \cos 60\degree.. (\because \cos 60\degree = \frac{1}{2}) \\\\

\huge \red {\boxed {\therefore \angle A = 60\degree}} \\[/tex]

Since, adjacent angles of a parallelogram are Supplementary.

[tex] \therefore \angle A + \angle B = 180\degree \\

\therefore 60\degree + \angle B = 180\degree \\

\therefore \angle B = 180\degree - 60\degree\\

\huge \purple {\boxed {\therefore \angle B = 120\degree}} \\[/tex]

Since, opposite angles of a parallelogram are congruent.

[tex] \therefore \angle C = \angle A

\\

\huge \red{\boxed {\therefore \angle C = 60\degree}} \\\\

\therefore \angle D = \angle B

\\

\huge \purple {\boxed {\therefore \angle D = 120\degree}} \\[/tex]

Answer:

x= 2.5I didn't have equipment to do graph bt I think u will understand

4/8 = 1/2

1/2 of 40 is 20

20 will survive

Answer:

It is multiplication

Step-by-step explanation:

It is multiplication because when you divide 9,460,730,472,580.8 by 299,792,458 you will get 31557.6 so that means,

9,460,730,472,580.8/299,792,458 = 31557.6

so, 299,792,458 * 31557.6 = 9,460,730,472,580.8

So the answer is Multiplication by 31557.6

Let me know if it was Helpfull.

Answer:

The slope is 3/2 and the y intercept is 4

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

2y -3x=8

Add 3x to each side

2y-3x+3x= 8+3x

2y = 3x+8

Divide by 2

2y/2 = 3/2x +8/2

y = 3/2x +4

The slope is 3/2 and the y intercept is 4

Answer:

7.5

Step-by-step explanation:

cross multiply

30=4x

7.5=x

Answer:

2 * -4 = -8

Step-by-step explanation:

2 * -4 = -8

It is just like multiplying two numbers like... 2 * 4 = 8

You must need to know that:

+a * -b = -c

-a * -b = +c

+a * +b = +c

In your question;

+a * -b = -c

a = 2

b = -4

c = -8

therefore:

2 * -4 = -8

Answer:

Their diagonals intersect at right angles

They are quadrilaterals

Opposite angles are equal

Step-by-step explanation:

Answer:

their shapes

Step-by-step explanation:

they have same corners

Answer:

3.4

Step-by-step explanation:

0.5x+4.2=5.9

Subtract 4.2 from both sides:

0.5x=1.7

Divide both sides by 0.5:

x=3.4

Hope this helps!

1cm = 0.01m

1m = 100 cm

The decimal equivalent for a meter and a centimeter are 1 cm = 0.01 meters and 1 meter = 100 centimeter.

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

It is given that:

Two units of length measurement are meters and centimeters

The units meter and centimeters can be used to measure the length.

There are many more units for measuring the length are feet, kilometers, millimeters, meters, centimeters,  etc

As we know,

1 meter = 100 centimeter

1 cm = 1/100 meters

1 cm = 0.01 meters

Thus, the decimal equivalent for a meter and a centimeter are 1 cm = 0.01 meters and 1 meter = 100 centimeter.

Learn more about the unit conversion here:

brainly.com/question/14350438

#SPJ5

Answer:

[tex]\frac{9}{8}[/tex]

Step-by-step explanation:

In order to find the answer to this question you will have to use KCF (Keep, Change, Flip) on the equation and then multiply.

[tex]-\frac{3}{8} \div-\frac{1}{3}[/tex]

Use KCF:

[tex]-\frac{3}{8} \times-\frac{3}{1}[/tex]

Now multiply:

Negative times a negative equals a positive.

[tex]3\times3=9[/tex]

[tex]8\times1=8[/tex]

[tex]=\frac{9}{8}[/tex]

Hope this helps.

Answer: 9/8

Explanation: It's important to understand that dividing by a fraction is the same thing as multiplying by the reciprocal of the fraction.

So our problem can be rewritten as (-3/8) · (-3/1).

Remember that a negatives times a negative is a positive.

So (-3/8) · (-3/1) is 9/8.

Remember, multiply across the top and bottom.

Answer:

The correct option is a) 3n - 4 = 15

Step-by-step explanation:

The product of 3 and a number means 3 multiplied by a number (n)

So it'll be 3*n or simply 3n

Now, it says 4 less than the product

So 4 less than 3n

That is equal to 3n minus 4 or 3n -4

So we come to the conclusion that

3n - 4 = 15

Hope this helps!

Answer:

3 meters per second.

Step-by-step explanation:

Change in elevation = distance / time

= 18/6

= 3 meters / second.

.

Answer:

16p

Step-by-step explanation:

23p-7p

Factor out p.

p(23-7)

Subtract the terms.

p(16)

Multiply.

= 16p

Answer:

x =0

Step-by-step explanation:

4x^2 =0

Divide by 4

x^2 = 0

Take the square root

sqrt(x^2) = sqrt(0)

x = 0

Answer:

x=0

Step-by-step explanation:

4x²=0

x²=0

x=√0

x=0

Answer:

d=6+2t

Step-by-step explanation:

Let

t=number of ten dollar bills

d=number of dimes

Number of dimes is six more than two times the number of ten dollar bills

d=6+2*t

d=6+2t

Answer:

Step-by-step explanation:

percentage: 1%

decimal:0.01

fraction :1/100

Answer:

x^2 +2x + 3

Step-by-step explanation:

x^3 - x -6 / x-2

Step one - FACTOR x^3:

(x-2)(x^2+2x+3) / x-2

Step two - CANCEL the common factor of x-2

x^2+2x+3