there are 6 boxes each weight 720g that mickey mouse need to carry to goofy house mickey is only strong enough to carry 4 kg at one time. can mickey carry all the boxes on one trip? show work to explain how you know

Answer:

HCF×LCM=a×b

6×60=a×b

a×b=360

So the numbers are whose product is 360 and LCM is 60

These two numbers can be 6,60 or 12,30

Answer:

0.325

Step-by-step explanation:

13 ÷ 40 = 0.325

Yo, why is your school still going on? :))))

Answer:

0.325

Step-by-step explanation:

13 out of 40 days.

13/40= 0.325

I would need to see the drop down, but I think it's perpendicular and touching.

Step-by-step explanation:

4a) The pressure of a basketball can have a large tolerance.

b) Writing an exam has a very low tolerance in terms of time allotment.

c) The amount of milk in a carton has a low tolerance.

Answer:

C

Step-by-step explanation:

Answer:

its -3

Step-by-step explanation:

since the bases are equal then the powers are equal

[tex] {3}^{2} = {3}^{x + 5} \\ \\ 2 = x + 5 \\ x = - 3[/tex]

Answer:

y=4x-22

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

([tex]\frac{f}{g}[/tex] )(x)

= [tex]\frac{f(x)}{g(x)}[/tex]

= [tex]\frac{2x^2-5x-3}{2x^2+5x+2}[/tex] ← factorise numerator and denominator

= [tex]\frac{(x-3)(2x+1)}{(x+2)(2x+1)}[/tex] ← cancel (2x + 1) on numerator/ denominator

= [tex]\frac{x-3}{x+2}[/tex]

The simplified form of 10⁹/10⁷ is 100.

The given expression is,

10⁹/10⁷

Since we know that,

Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.

Since we also know that,

When base of exponent is same then while dividing we subtract the power of denominator from the power of numerator,

Therefore,

we can write the given expression

10⁹/10⁷ =  [tex]10^{(9-7)}[/tex]

            = 10²

            = 10 x 10

            = 100

Hence,

10⁹/10⁷ = 100

To learn more about exponent visit

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Answer:

If the suspect goes to prison, then he was found guilty.

Step-by-step explanation:

Means the same thing. If you guilty, you get the jail time. Same thing as before. The only other one it could be is the first one. But you could argue that one.

Answer:

C.

Step-by-step explanation:

i took the test

The standard form of the equation of the parabola that has a vertex of (-4,-3) and a directrix of x = 2 is (x+3)² = -24(y+4), the correct option is D.

If a quadratic equation is written in the form

y=a(x-h)^2 + k

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

First of all, i used this vertex formula thing since it is visible that there are quadratic functions. Otherwise, you had to use calculus to get critical points, then second derivative of functions to find the character of critical points as minima or maxima or saddle etc to get the location of vertex point.

This point (h,k) is called the vertex of the parabola that quadratic equation represents.

We are given that;

The vertex of parabola=(-4,-3)

Directrix of x is 2

Now,

The distance from a point (x,y) to the directrix x = 2 is the horizontal distance between the point and the line, which is |x - 2|. The distance from a point (x,y) to the focus (-4,f) is the distance between the point and the vertex plus the distance between the vertex and the focus, which is |y - (-3)| + |-4 - 2| = |y + 3| + 6.

|y + 3| + 6 = |x - 2|

To eliminate the absolute value, we can square both sides of the equation:

(y + 3)² + 12(y + 3) + 36 = (x - 2)²

(x - 2)² = (y + 3)² + 12(y + 3) + 36

x² - 4x + 4 = y² + 6y + 9 + 12y + 36

x² - 4x = y² + 18y + 45

x² - 4x + 4 = y² + 18y + 49

(x - 2)² = (y + 9)²

This is the standard form of the equation of the parabola, which has a vertex of (-4,-3) and a directrix of x = 2. Comparing this equation with the standard form of the equation of a parabola, we can see that the parabola opens horizontally to the left, and its focus is the point (-6,-3).

(x-2)² = -24(y+9)

Therefore, the equation will be (x+3)² = -24(y+4).

Learn more about vertex form of a quadratic equation here:

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Answer:

their hopes will come true

Step-by-step explanation:

Using the formula for calculating amount expressed as;

A = P(1+r)^t

Given

P = $15000

r = 9.6% = 0.096

t = 15years (18-3)

Substitute;

A = 15,000(1+0.096)^15

A = 15,000(1.096)^15

A = 15000(3.9551)

A = 59,326.6

As we can see, the money is even more than twice the original amount, this shows that their hopes will come true

Answer:

a. Yes, the $15,000 will double each 7.5 years. In 15 years, it will double twice.

Answer: Use the base times hight to get the hypotenuse

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Given a system of equations graphically, then the solution is at the point of intersection of the 2 equations.

As can be seen from the graph there is only 1 point of intersection, thus only one solution,

Answer:

[tex]y=-\frac{1}{2}x-3[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (6,-6) and (-2,-2)

[tex]=\frac{-2-(-6)}{-2-6}\\=\frac{-2+6}{-2-6}\\=\frac{4}{-8}\\=-\frac{1}{2}[/tex]

Therefore, the slope of the line is [tex]-\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-\frac{1}{2}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-\frac{1}{2}x+b[/tex]

Plug in one of the given points and solve for b

[tex]-6=-\frac{1}{2}(6)+b\\-6=-3+b[/tex]

Add 3 to both sides

[tex]-6+3=-3+b+3\\-3=b[/tex]

Therefore, the y-intercept of the line is -3. Plug this back into [tex]y=-\frac{1}{2}x+b[/tex]:

[tex]y=-\frac{1}{2}x-3[/tex]

I hope this helps!

Your answer is correct .

Answer:

EF~GI

Step-by-step explanation:

I got it right on the quiz:)

Answer:

no

Step-by-step explanation:

Example:

Answer:

b I think it' hope I helped

Answer:

I think point D is the answer.

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

Answer:

A, E, F

Step-by-step explanation:

With this question, it's mostly just trial and error.

[tex]\sqrt{26}[/tex]<13 can be converted to 5.09901951<13, which is true.

[tex]\sqrt{251}[/tex]<13 can be converted to 15.8429795<13, which is false.

[tex]\sqrt{28561}[/tex]<13 can be converted to 169<13, which is false.

[tex]\sqrt{170}[/tex]<13 can be converted to 13.0384048<13, which is false.

[tex]\sqrt{1}[/tex]<13 can be converted to 1<13, which is true.

[tex]\sqrt{15}[/tex]<13 can be converted to 3.87298335<13, which is true.

Therefore, A, E and F are true.

**This question involves using inequalities and converting surds to numbers/decimals, which you may want to practice. I'm always happy to help!

Answer: 23.4 ft^3

Step-by-step explanation: The perimeter of the base is 10.7, it is a square so the 4 sides of the base are equal. One side of the base is equal to 2.675 if the perimeter (4 sides) is equal to 10.7, so plug that and the height into the formula for the volume of a square pyramid to get 23.38, or 23.4 to the nearest tenth.

Answer:

v ≈ 34.95ft^3

Step-by-step explanation:

h = 9.8ft

A^B = 10.7ft

V=A^B

h/3 = 10.7 • 9.8/3

≈34.95333ft^3

≈34.95ft^3

Answer:

12.826 i think

Step-by-step explanation:

Answer:

164/3

Step-by-step explanation:

Answer:

A x=59 is yr correct answer

hope it helps

Answer:

[tex]x = 59[/tex]

Step-by-step explanation:

[tex](x + 17) = 76[/tex]

[tex]x = 76 - 17[/tex]

[tex]x = 59[/tex]

Answer:

$640.25

Step-by-step explanation:

Answer:

$640.25

Step-by-step explanation:

Answer:

$63.30

Step-by-step explanation:

Assuming the $60 is excluding taxes:

60 * 1.055 = $63.30

Answer:

miss rages is the best way of doing that and it will take a few months for a kid

Answer:

the answer is 20

32/8=h/5

cross multiply and boom!

I hope this help sry if it doesnt!

Step-by-step explanation:

Answer:

[tex]- 2m^4 - 6m^2 + 4m + 9[/tex]

Step-by-step explanation:

Given

[tex]4m - 2m^4 - 6m^2 + 9[/tex]

Required

Express in standard form

To do this, we simply reorder the terms of the polynomial in descending order of power.

So, we have:

[tex]- 2m^4 - 6m^2 + 4m + 9[/tex]

Answer:

D

Step-by-step explanation: