Find the total surface area of this triangular prism.
30 cm
18 cm
7 cm
24 cm

Answer:

An arithmetic sequence has a constant difference between each term.

A geometric sequence has a constant ratio.

Answer:

B.

Step-by-step explanation:

This is the information the histogram represents.

Hope it helps!

Answer:

B I think?

Step-by-step explanation:

Hope its right

Answer:

ITs 16.375 in.2

Step-by-step explanation:

If your in connections and you have Lesson 4: Area of Other Figures

Math 7 B  Unit 3: Measurement the whole quick check answers are

1. D. 40.5cm2

2. B. 16.375 in.2

3. B 540cm2

4. C 460

Your welcome also I swear these are right!

Answer:A, B and C

Step-by-step explanation:

Answer: 60 miles

Step-by-step explanation:

On a map, Indy and Fort Wayne are 19 centimeter apart while Kokomo and Indy are 9.5 cm apart on the map.

In real life, Indy and Fort Wayne are actually 120 miles apart, the distance between Indy and Kokomo in real life would then be:

= 9.5 × 120/19

= 120/2

= 60 miles

Indy and Kokomo are 60 miles apart in real life.

Answer:

Step-by-step explanation:

1.0825×(34.99+3) = $41.124175, and the government always rounds up.

$41.13

Answer:

D

Step-by-step explanation:

The equation for the line shown in the graph will be y = - x + 10. Then the correct option is D.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

From the equation, the y-intercept is 10. Then the equation is given as,

y = mx + 10

From the graph, the line is passing through (2, 8). Then the slope is given as,

8 = m(2) + 10

8 = 2m + 10

- 2 = 2m

m = - 1

The equation for the line shown in the graph will be y = - x + 10. Then the correct option is D.

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Answer:

25

Step-by-step explanation:

25 students total.

3/5 = 15 (Girls)

2/5 = 10 (Boys)

Answer:

25 students in total..........

Answer:

18 is 40% of 45

23% of 20 is 4.6

24.390243902439025

Step-by-step explanation:

Answer:

21.99 but you have to round it

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

yes

Answer:

3/20

Step-by-step explanation:

Given that :

Share for 5 persons = 3/4 of a whole pizza

Each person gets an equal size of the share :

Hence, share per person :

Portion of pizza / number of persons

3/4 ÷ 5

3/4 * 1/5

= (3*1) / (4*5)

= 3/20

Answer:

64

Step-by-step explanation:

11 out of 44 = 25%

11 ÷ 44 = 0.25 = 25%

25% × 256 = 64

Answer:

Yes, there is very clear evidence to suggest or show a correlation between

watercolour and each animal's response to the water as well as their total responses.

Explanation

When the water was blue, the total water consumed by both animals came to 1410 ml. The dog consumed more water than the cat. The dog drank 1200 ml while the cat drank just 410 ml.

When the color of the water was changed to green, the animals drank a total of 1300 ml. The cat drank 200 ml while the dog drank 1100 ml.

We can thus,  establish that there is an association between the color of the water and the volume of water taken by each animal because on the whole, both animals seem to prefer blue water. They drank more water when its color was blue and less when it was red.

Please see the attached document.

Cheers

Answer:

B. -5

Step-by-step explanation:

this is quite simple, so what you are going to want to do is multiply -3 by 4, and -16, so distribute that and you'll end up with

-12x+48= -12

then you want to subtract 48 from both side to leave the x on one side alone

that will be -12x= -60

after that you have to divide both sides by -12 to find your x

so then you will see that your x is = -5! hope this helps!!

Answer:

jndcxiaojdncijadmcijwmqdijxcmc

Step-by-step explanation:

A possible error is (c) C.12×4 does not equal 13.

From the question, we have the following parameters that can be used in our computation:

Rate = 1/3 miles in 4 minutes

When converted to unit rate, we have

Rate = 1/3 miles/4 minutes

Evaluate the quotient

So, we have

Rate = 1/12 miles per minute

This means that a possible error is (c) C.12×4 does not equal 13.

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Question

Lucas jogged 13 mile in 4 minutes. He divided to find how far he jogged per minute, but he made a mistake. Which reason explains why his answer might be wrong?

A.There are more than 12 equal parts in 13 of a whole.

B.When 13 of a whole is split into equal parts, each part is greater than 13.

C.12×4 does not equal 13.

D.The answer must be a whole number.

Answer:

E. If the radius of the cone is 2 inches, the volume of the cone is 25 cubic inches.

B. The relationship between radius and volume is not linear.

Step-by-step explanation:

The true statement regarding the cones should be

If the radius of the cone is 2 inches, the volume of the cone is about 25 cubic inches.

The relationship between radius and volume is not linear.

The volume of the cone should be equivalent to one-third of the volume of the cylinder that contains a similar radius of the base and height. Here V means the volume, r means the radius and h means the height.

According to the graph, we can say that in the case when the radius should be 2 inches so the volume should be 25 cubic inches. And, the relation between the radius and the volume should not be linear.

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Answer:

14

√

2

=

7

√

2

Step-by-step explanation:

An isosceles right triangle is a right triangle with two legs equal in length and has angles of

45

∘

−

45

∘

−

90

∘

.

By Pythagorean Theorem, we know that,

hypotenuse

c

2

=

a

2

+

a

2

,

⇒

c

=

a

√

2

where

c

is the hypotenuse and

a

is the leg.

So for an isosceles right triangle with side length

a

, the hypotenuse has a length of

a

√

2

.

Similarly, if the hypotenuse of an isosceles right triangle has length of

a

, the legs have a length of

a

√

2

or

a

√

2

2

each.

Given that the hypotenuse of the isosceles right triangle

=

14

,

⇒

the length of each leg

=

14

√

2

=

7

√

2

Check :

(

7

√

2

)

2

+

(

7

√

2

)

2

=

196

=

14

2

(OK)

The height (one of the legs) and the hypotenuse of an isosceles right triangle are 40 feet and 40√2 feet, respectively.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Given:

The triangle is an isosceles right triangle.

That means, the triangle has two equal sides.

Let, base b = height h.

The area of the triangle = 1/2 x base x height.

800 = (1/2)b²

b² = 1600

b = 40 feet.

Now, using the Pythagoras theorem,

Hypotenuse = √(1600 + 1600)

Hypotenuse = √(3200)

Hypotenuse = 40√2 feet.

Therefore, height = 40 feet and hypotenuse = 40√2 feet.

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Answer:

The number of green pens sold are 96 green pens

Step-by-step explanation:

The given parameters for the packs of pens sold by the shop are;

The number of pens in each pack of black pens = 2 pens

The number of pens in each pack of red pens = 5 pens

The number of pens in each pack of green pens = 6 pens

The ratio of number of packs of pens sold Black : Red : Green = 7 : 3 : 4

The total number of pens sold = 212

Let 'x' represent the number of packs of pens sold

Therefore, the fraction of the packs the pens sold that are black pens = 7/(7 + 3 + 4) = 7/14 = 1/2

∴ 1/2 of the number of packs of pen sold = packs black pens = x/2

The fraction of the packs the pens sold that are red pens = 3/14

∴ 3/14 of the number of packs of pen sold = packs of red pens = 3·x/14

Similarly, we have;

The fraction of the packs the pens sold that are green pens = 4/14 = 2/7

∴ 2/7 of the number of packs of pen sold = packs of green pens = 2·x/7

Therefore, we have;

x/2 × 2 + 3·x/14 × 5 + 2·x/7 × 6 = 212

Where;

x/2 × 2 = The number of black pens sold

3·x/14 × 5 = The number of red pens sold

2·x/7 × 6 = The number of green pens sold

∴ 53·x/14 = 212

x = 212 × 14/53 = 56

∴ The number of packs of pens sold = x = 56 packs

The number of green pens sold = 2·x/7 × 6 = 2 × 56/7 × 6 = 96

The number of green pens sold = 96 pens.

Answer:

2.4%

Step-by-step explanation:

The value of R is, 2.4%

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

Louis invested £2950 in a savings account for 5 years.

He was paid 1.9% per annum compound interest for each of the first 4 years.

And, He was then paid R% interest for the fifth year.

Louis had £3257 in his savings account at the end of the 5 years.

Here, We know that;

⇒ Compound interest formula = Capital × (1 + r%) ⁿ

Where, n is time in years.

So, We can formulate;

⇒ £2950 × (1 + 0.019)⁴

⇒ £3180.67

And, For calculate R;

⇒ £3180.67 × (1 + R%)⁵ = £3257

⇒ R = 2.4%

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Answer:

even  :D

Step-by-step explanation: :D

Answer:

27,200

Step-by-step explanation:

15% of 32,000 pounds is 4,800. Just subtracting them will end you with 27,200.

==================================================

Work Shown:

x = original price

y = sale price

d = discount = amount saved

d = 12% of x = 0.12x

y = x - d = x - 0.12x = 0.88x

Note how 0.88 = 88%, and this represents the percentage you have to pay if you get 12% off.

We're told the sale price is y = 44, so this leads to...

y = 0.88x

44 = 0.88x

0.88x = 44

x = 44/0.88

x = 50

The original price was $50

---------------------

Check:

If the original price was $50, then the amount you save is 0.12*50 = 6 dollars, which is the discount.

The sale price is 50-6 = 44 dollars which matches up with what your teacher gave you. The answer is confirmed.

Answer:

[tex]\frac{n}{-4} =-13: n = 52[/tex]

Step-by-step explanation:

[tex]\frac{n}{-4} =-13: n = 52[/tex]

An easy way to find out is by plugging the variable with a constant such as 2

Given:

m = 10

The line passes through the point (6,2).

To find:

The equation of line in the standard form.

Solution:

If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through the point (6,2) and m = 10. So, the equation of line is

[tex]y-2=10(x-6)[/tex]

[tex]y-2=10x-60[/tex]

[tex]y-10x=-60+2[/tex]

[tex]-10x+y=-58[/tex]

Therefore, the correct option is A.

Answer:

10

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

3 1/3 * 3 = 10

Answer:

(x+5)²

Step-by-step explanation:

To solve this we just need to shift the graph 5 spots to the left

to do this we need to add 5 to the x

(x+5)²

Answer:

x ≤ 49 / 12

Step-by-step explanation:

Total cups of flour = 63 /8

Cake = 7/4 cups

Cookies = 3/2 cups per batch

Flour left after baking cake :

63/8 - 7/4

(63 - 14) / 8

49 / 8

Batch of cookies which can be baked, x

Flour left / cups of flour per batch of cookies

x ≤(49 / 8) ÷ (3 / 2)

x ≤ (49 /8) * 2/3

x ≤ 98 / 24

x ≤ 49 / 12

Step-by-step explanation:

[tex] \tt{30.16 = 17.56 + 5x} [/tex]

Swap the sides of the equation :

⤑ [tex] \tt{17.56 + 5x = 30.16}[/tex]

We want to remove the 17.56 first.

Since the original equation is 17.56 , we are going to use the opposite operation and subtract 17.56 from both sides :

⤑ [tex] \tt{5x + 17.56 - 17.56 = 30.16 - 17.56}[/tex]

Simplify. 17.56 - 17.56 = 0 on the left. 30.16 - 17.36 = 12.6 on the right.

⤑ [tex] \tt{5x = 12.6}[/tex]

Then, we need to think about how to remove the coefficient 5. Since the opposite of multiplication is division , I am going to divide both sides by 5.

⤑ [tex] \tt{ \frac{5x}{5} = \frac{12.6}{5}} [/tex]

Simplify. 5/5 = 1 on the left and 12.6/5 = 2.52 on the right. So, Our answer is x = 2.52.

[tex] \pink{ \boxed{ \boxed { \tt{Our \: final \: answer : \underline{ \underline{ \bold{ \tt{x = 2.52}}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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