Which line represents the linear equation
–3y = 15 – 4x?

The equation –3y = 15 – 4x rewritten in slope-intercept form is .

The y-intercept is and the slope of the line is .

Line is the graph of the line –3y = 15 – 4x.

1 + x < 5

the sum means addition, so the sum of 1 and x is 1 + x and less than 5 means exactly that, less than 5. The less than sign is represented by <

The statement "the sum of 1 and x is less than 5"written as an inequality is 1 + x < 5.

x < 4

An inequality is a statement that is of two quantities one is specifically less than (or greater than) another.

The sum of 1 and x is less than 5

1 + x < 5

Subtract 1 from both sides

x < 5 - 1

x < 4

Therefore, x is less than 4

Read more on inequality:

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Answer:

17.5 yds because Radius is half of the circumference

Step-by-step explanation:

The radius of the circle with a circumference of 35 π yards is 17.5 yards.

The circumference of a circle is the perimeter of a circle. Therefore,

where

r =radius

Therefore,

circumference = 35πyard

35π = 2πr

divide both sides by 2π

35π / 2π = 2πr / 2π

r = 17.5 yards

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Answer:

D) 13

Step-by-step explanation:

3(-4)=-12+1=-11

2(-1)=-2+4=-2

11+2=13

Answer:

D

Step-by-step explanation:

An absolute value is measuring how far away the value is from 0.

Since -1/4 is 1/4 away from 0, D is the answer.

100%-14%=86%

2006, 2007, 2008 = 3 year

14 000$ *0,86³= 14000*0,636056=8904,784

answer ≈8904,78$

Answer:

8900

Step-by-step explanation:

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ There are 6 surfaces:

2 of them have an area of 84 square inches

2 of them have an area of 37 1/3 square inches

2 of them have an area of 1

You add them all together, and you get:

Final answer:

244 2/3 square inches

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

The total surface area for the given prism is 808 square inches.

The question asks to calculate the surface area of a rectangular prism in square inches. The dimensions given are 1 1/2 ft (length), 2/3 ft (width), and 5/6 ft (height). To convert these measurements to inches, we multiply by 12 since there are 12 inches in a foot. Thus, the dimensions in inches are:

To find the surface area, we calculate the area of each face and then sum them:

Now, add up all the areas of the faces to get the total surface area:

Surface Area = 360 + 288 + 160 = 808 square inches.

Answer:

The concep of rectilinean line between point A and point B.

Search about euclidean laws.

Besr regards

The line between is point A and point B.

To evaluate the expression, we follow the order of operations (PEMDAS). The result of the expression is 31.

To evaluate the expression 24 ÷ 3 + 7 ⋅ 2 – 15 ÷ 5 + 6 ⋅ 2, we need to follow the order of operations, also known as PEMDAS. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Therefore, the evaluated expression is equal to 31.

Answer:

[tex]EF=3\sqrt{10}\ units[/tex]  ------> three square root of 10

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

In this problem we have

[tex]E(-1,-1)\\F(8,-4)[/tex]  

substitute the values

[tex]EF=\sqrt{(-4+1)^{2}+(8+1)^{2}}[/tex]

[tex]EF=\sqrt{(-3)^{2}+(9)^{2}}[/tex]

[tex]EF=\sqrt{90}\ units[/tex]

[tex]EF=3\sqrt{10}\ units[/tex]

Answer:

Step-by-step explanation: 180

I think the answer is 180

Answer:

JMK = 54

JKH = 126

HLK = 90

HJL = 27

LHK = 63

JLK = 27

Step-by-step explanation:

Just use 180 for total angles in each triangle. Vertical angles mean the opposite to 126 is 126 and the other two that make up the inner vertices are (360- 126*2)/2 = 54

So, 126, `16, 54 , 54 are the inner angles in the circle. Just go from there.

Answer: Close to 40 times but probably not exactly 40 times

Step-by-step explanation:

Answer:

Option (D) Close to 40 times but probably not exactly 40 times.

Answer: Reserved = 431, General Admission = 1356

Step-by-step explanation:

Let x represent the Reserved tickets.

Let y represent the General Admission tickets.

Cost Equation:        4x + 3y = 5792

Quantity Equation:    x + y = 1787

Use Elimination Method:

4x + 3y = 5792  →   1(4x + 3y = 5792)   →   4x + 3y =  5792

 x +   y = 1787   →  -3( x +    y = 1787)    → -3x  - 3y = -5361

                                                                      x         =   431

Now substitute x = 431 into one of the original equations:

x + y = 1787

431 + y = 1787

        y = 1356

Answer:

[tex]4,151.25\ m^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the trapezoidal prism (swimming pool) is equal to

[tex]V=BL[/tex]

where

B is the area of the trapezoidal base

L is the length (distance between the two trapezoidal faces)

Find the area B

[tex]B=\frac{1}{2}(4+8)(30.75)=184.5\ m^{2}[/tex]

[tex]L=22.5\ m[/tex]

Find the volume

[tex]V=184.5(22.5)=4,151.25\ m^{3}[/tex]

3577+5214+5879

=8791+5879

=14670

Answer

B. 14,670

The total number of seats in all three levels of the auditorium is calculated by adding the number of seats on each level, resulting in 14,670 seats.

To calculate the total number of seats in all three levels of the auditorium, we add the number of seats available on each level together. The calculation is as follows:

Level 1: 3,577 seats

Level 2: 5,214 seats

Level 3: 5,879 seats

Add these numbers to get the total:

3,577 + 5,214 + 5,879 = 14,670 seats

Therefore, the correct answer is B. 14,670, which is the combined number of seats in all three levels of the auditorium.

Answer:

ON MONDAY:  35 mosquitos.

ON TUESDAY: 6 flies.

Step-by-step explanation:

As you can see in the diagram, the frog eats 3 flies for every 7 mosquitoes (for lunch). Then you can expresed this ratio as following:

3:7 or [tex]\frac{3}{7}[/tex]

Based on the table:

-If the frog eats 15 flies on monday, then the number of mosquitos that it eats can be calculated as following:

[tex]\frac{3}{7}=\frac{15}{mosquitoes}\\\\mosquitoes=\frac{15*7}{3}\\\\mosquitoes=35[/tex]

-If the frog eats 14 mosquitoes on tuesday, then the number of flies that it eats can be calculated as following:

[tex]\frac{3}{7}=\frac{flies}{14}\\\\flies=\frac{14*3}{7}\\\\flies=6[/tex]

Answer:

X-int: (2,0) , (-5,0)

Y-int: (0,-10)

Answer: 13

Step-by-step explanation:

In order to solve this equation you need to replace x with 9.

2/3 x 9 + 7=

6 + 7=

13

Answer:

The first graph.

Step-by-step explanation:

An exponential function has a graph that is a smooth curve; it either increases  at an ever increasing rate or decreases at an ever increasing rate.

The only graph that fits these characteristics is the first one.

Answer:

First graph is the exponential function

Step-by-step explanation:

The x value of exponential function is all real numbers

x can take any value positive or negative numbers

In the first graph , as x value increases the graph goes down

The first graph is an exponential function .

Second graph is the cubic function as the graph goes from left and it goes down on the right .

Third graph is an rational function because we have two graph on both sides of vertical asymptote

The fourth graph is not an exponential function as the domain is not all real numbers.

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Answer:

To find the answer, you must multiply/divide the amount in cups by calories per cup.

Step-by-step explanation:

Butter only has 0.3 cups, so The calories will only be 30% of what is written down. 30% of 1627= 488.1 calories

Marshmallows is 4.25 times larger then the calories per cup, so now you'll have to multiply.

4.25*159=675.75 calories

Finally, Cereal is 5.5 times larger then the calories per cup, so we will multiply again.

5.5*101=555.5 calories

Finally, add all the number together to find the total amount of calories in the marshmallow treats.

555.5+675.75+488.1=1,719.35  calories

There is a total of 1,719.35 calories in the marshmallow treats.

Answer:

I believe the answer would be 4 gift bags.

Step-by-step explanation:

The highest number both numbers can be divided by and get a a whole number is 4. Four is the greatest common factor. So there will be 4 bags with 7 bottles of lotion and 3 candles inn each bag.

Answer:

Step-by-step explanation:

Factoring the number of items

Common factor is 4, so the number of gift bags is 4 the greatest

Answer:

-12

Step-by-step explanation:

numerator: -10 - 6 + 4 = -16 + 4 = - 12

denominator: (-0.5)(-2) = 1 Try this on your calculator.

Answer

-12 / 1 = - 12

since triangles are similar

4/x = 7x/7

=》 4/x = x

=》x^2 = 4

=》 x = 2

for right triangles a^2 = b^2+c^2

DF^2 = 7^2+2^2 = 53

=》 DF = 7.28

perimeter of DEF = 7 +2+7.28 = 16.28

Step-by-step explanation:

(4/5+3/5)+3.5*5

= 7/5+7/2*5

= 7/5+35/2

= 14/10+175/10

= 189/10

= 18.9

Answer:

The value of the expression is 18.9

Step-by-step explanation:

The expression is:

[tex]\bigg( \frac{4}{5}+\frac{3}{5}\bigg)+3.5\times 5[/tex]

The first step is to solve the parenthesis. As both fractions have the same denominator, the numerators must be added:

[tex]\bigg( \frac{4+3}{5}\bigg)+3.5\times 5[/tex]

[tex]\bigg( \frac{7}{5}\bigg)+3.5\times 5[/tex]

The second step is to perform the division between 7 and 5, it is 1.4:

[tex]1.4+3.5\times 5[/tex]

The third step is to perform the multiplication between 3.5 and 5, it is 17.5:

[tex]1.4+17.5[/tex]

The last step is to perform the sum, it is 18.9:

[tex]1.4+17.5=18.9[/tex]

Thus, the value of the expression is 18.9.

Answer:

D

Step-by-step explanation:

We need to find total area of the two rooms (hexagon and nonagon) and then multiply that by 4.5 to get total cost.

Area of Hexagon = [tex]\frac{3\sqrt{3}a^{2} }{2}[/tex]

Where a is the side length (which is 50)

Hence,

Area of Hexagon = [tex]\frac{3\sqrt{3}a^{2} }{2}=\frac{3\sqrt{3}(50)^{2} }{2}=6495.2[/tex]

Also, area of Nonagon is given by  [tex]6.1818*s^2[/tex]

Where s is the length of the side

Hence,

Area of Nonagon = [tex]6.1818*s^2=6.1818*(50)^2=15,454.5[/tex]

Total floor area = 6495.2 + 15,454.5 = 21,949.7

Hence,

Total Cost = 21,949.7 * 4.5 = 98,773.65

THis is closest to the answer choice D.

A decameter is the longest, as it has a length equal to 10 meters.

Hope this helps!

Answer:

Decameter

Step-by-step explanation:

A decameter = 10 meter

millimeter = 0.001 meter

meter = meter

centimeter = 0.01 meter

Best regars

Answer: C.

Step-by-step explanation:

All we need to do is add all the number together:

Convert to decimals for easier adding:

2.5+2.5+(3.5*5)+4.25+4.25+5.5=36.50km

Now we convert to a fraction: 36.50=36 2/4km

So the answer is 36 2/4km

Answer:

D

Step-by-step explanation:

Remembering that the product of 2 negatives is positive, then

- 25 × - 3 = 75 → D

Final answer:

Upon examining the factor pairs given in the options, none of them correctly multiply to a positive 75. There seems to be a typo in the options as none matches the requirement for the product to be 75. Most likely, the correct factor pair is missing or misrepresented.

Explanation:

The question asks to identify which factor pair has a product of 75. To find factors of 75, we look for pairs of numbers that multiply together to give the product of 75. Remember, the product of two negative numbers is positive.

Option A (25 and -3) does not give 75 as a product because 25 multiplied by -3 is -75.

Option B (-15 and 5) gives us a product of 75, since -15 multiplied by 5 is -75 (but we are looking for a positive 75).

Option C (-75 and 1) is incorrect because it results in -75, not 75.

Option D (-25 and -3) is also incorrect, as the product of two negative numbers would be positive, but it results in +75.

However, upon reviewing the options provided, it appears none of them correctly multiply to a positive 75. Most likely, there is a typo in the question or the options presented. In mathematics, finding factors of a number means identifying two numbers that, when multiplied together, give the original number. While option B's multiplication gives a product of -75, it is close to our target; we need a positive value, i.e., 75, not -75.

We use the vertical side as the base: it is a vertical segment, so it's length is the difference of the y coordinates of its endpoints:

[tex] b = y_2-y_1[/tex]

The height would be the segment starting from [tex](x_3,y_3)[/tex], perpendicular to the base. Since this is a horizontal segment, its length is the difference of the x coordinates of its endpoints:

[tex]h = x_3-x_1[/tex]

So, the area is given by

[tex]A = \dfrac{bh}{2} = \dfrac{(y_2-y_1)(x_3-x_1)}{2}[/tex]

Answer:

A = 18

Step-by-step explanation:

Drop a perpendicular from (x₃, y₃) to point A on the opposite side.

The vertical line containing A is the base of the triangle, and the horizontal line is its height,

The formula for the area of a triangle is  

A = ½bh

b = y₂ - y₁ = 6

h = x₃ - x₁ = 6

A = ½ × 6 × 6 = 18

The area of the triangle is 18.