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2 years ago

Which value is a solution to the open sentence? 4x-5=31

2 answers:

7 0

The answer is C. 9., because 31+5=36, which means you'd find what x equals. So since 9 times 4 equals 36 the answer is C.

g100num [7]2 years ago

3 0

4x-5=31

Add 5 to both sides
4x=36

Divide both sides by 4
x=9

Final answer: 9

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Simplify the expression(2x²y)^3

raketka [301]

Answer:

8x^6y^3

Step-by-step explanation:

(2x2y)3

=8x6y3

3 0

3 years ago

Here is a triangular pyramid and its net.

bazaltina [42]

Answer:

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. $\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\$

${\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}$

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

$\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}$

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

$\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}$

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

$\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}$

Hence,

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

3 0

3 years ago

Can someone plz help me with this one problem plz!!!

Lady bird [3.3K]

2,14 4,16 6,18 8,20 f=s+12

4 0

2 years ago

Each student ticket for an art museum costs $12.50. the total cost for student tickets, t, varies directly as the number of tick

Troyanec [42]

An equation that models the proportional relationship between t and s.

t = 12.5s

<h3>What is proportional relationship?</h3>

Relationships between two variables where their ratios are equal are known as proportional relationships. The fact that one variable is always a constant value multiplied by the other in a proportionate connection is another way to conceive of them. This parameter is referred to as the "constant of proportionality."

<h3>According to the given information :</h3>

1) Ticket for an art museum costs $12.50

2) In other words, the price will increase by $12.50 for each ticket purchased (or tickets).

In other words, the total expense is always 12.5 times the quantity of tickets sold.

3) This indicates that we can create this ---> t = 12.5s.

An equation that models the proportional relationship between t and s.

t = 12.5s

To know more about proportional relationship visit:

brainly.com/question/12022244

#SPJ4

6 0

1 year ago

A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track

harkovskaia [24]

Answer:

C. 2.0 < t < 2.5

Step-by-step explanation:

time = distance / speed

The circumference of the lake is given by ...

C = πd = 2π miles ≈ 6.28 miles

Then Johanna's time is ...

(6.28 mi)/(3 mi/h) ≈ 2.09 h

This time is in the interval (2, 2.5), so matches choice C.

___

<em>Alternate solution</em>

If we take pi to be 3, then this boils down to ...

2×3/3 = 2 . . . hours

Pi is on the order of 5% more than 3, so her time will be on the order of 5% more than 2 hours, or just above 2, but not as great as 2.5 hours. This sort of estimating can get you to the correct answer without a calculator.

6 0

3 years ago