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3 years ago

What is the additive inverse of 16 5/7? Α -16 B. -16 7/5 C. -16 5/7 D. 16 7/5

Mathematics

2 answers:

enyata [817]3 years ago

6 0

Answer:

jesus is comeing soon

∞

Step-by-step explanation:

topjm [15]3 years ago

5 0

The answer is letter C

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Carlos has 7 times as many red toy cars as blue toy cars. He has 56 total cars. How many more red cars does he have?

antiseptic1488 [7]

let x = blue cars

so 7x = red cars

x +7x = 56

8x = 56

x = 56/8 =7 blue cars

7*7 =49 red cars

49-7 =42 more red cars

6 0

3 years ago

A 12-tooth gear on a motor shaft drives a larger gear having 42 teeth. If the motor shaft rotates at 700 rpm, what is the spee

nata0808 [166]

Answer:

203 rpm

Step-by-step explanation:

The speed of the larger gear can be calculated using the following equation:

$v = \omega*R$

<u>Where</u>:

ω: is the angular velocity of the motor = 700 rpm

R: is the gear ratio

The gear ratio is the following:

$R = \frac{n_{(a)}}{n_{(b)}}$

<u>Where:</u>

n(a): is the number of teeth on the small gear = 12 teeth

n(b): is the number of teeth on the larger gear = 42 teeth

The gear ratio is:

$R = \frac{12}{42} = 0.29$

Now, the speed of the larger gear is:

$v = \omega*R = 700 rpm*0.29 = 203 rpm$

Therefore, the speed of the larger gear is 203 rpm.

I hope it helps you!

3 0

3 years ago

What is the volume? 7 mm 7 mm 7 mm cubic millimeters

Oksanka [162]

$\Huge\bf\overbrace{\underline{ \underbrace{\blue \dag \orange{Answer}}}} \blue\dag$

$\large\bf\mapsto{\underline{\red{volume \: of \: cube = {a}^{3} }}}$

$\huge\bf\mapsto{\underline{\green{ {7}^{3} }}}$

$\Large\bf\leadsto{\underline{\purple{ \: 7 \times 7 \times 7 = 343}}}$

6 0

3 years ago

Find the surface area of the following figure.

fgiga [73]

Answer:

$\boxed{\textsf{\pink{ Hence the TSA of the cuboid is $\sf 32x^2$}}}.$

Step-by-step explanation:

A 3D figure is given to us and we need to find the Total Surface area of the 3D figure . So ,

From the cuboid we can see that there are 5 squares in one row on the front face . And there are two rows. So the number of squares on the front face will be 5*2 = 10 .

We know the area of square as ,

$\qquad\boxed{\sf Area_{(square)}= side^2}$

Hence the area of 10 squares will be 10x² , where x is the side length of each square. Similarly there are 10 squares at the back . Hence their area will be 10x² .

Also there are in total 12 squares sideways 6 on each sides . So their surface area will be 12x² . Hence the total surface area in terms of side of square will be ,

$\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies\boxed{\sf TSA_{(cuboid)}= 32x^2}$

Now let's find out the TSA in terms of side . So here the lenght of the cuboid is equal to the sum of one of the sides of 5 squares .

$\sf\implies 5x = l \\\\\sf\implies x = \dfrac{l}{5} \\\\\qquad\qquad\underline\red{ \sf Similarly \ breadth }\\\\\sf\implies b = 3x \\\\\sf\implies x = \dfrac{ b}{3}$

$\rule{200}2$

Hence the TSA of cuboid in terms of lenght and breadth is :-

$\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies TSA_{(cuboid)}= 20\bigg(\dfrac{l}{5}\bigg)^2+12\bigg(\dfrac{b}{3}\bigg) \\\\\sf\implies TSA_{(cuboid)}= 20\times\dfrac{l^2}{25}+12\times \dfrac{b^2}{9}\\\\\sf\implies \boxed{\red{\sf TSA_{(cuboid)}= \dfrac{4}{5}l^2 +\dfrac{4}{3}b^2 }}$