9) Jamar drove 228 miles and used 6 gallons of gas.
a) How many miles/gallon did he get on the trip?

b) On another trip, he used 9 gallons of gas. How far did he travel?

Using the order of operations, the expression can be simplified as  

9 + 1.34 + 62.88 = 73.22

The order of operations instructs us on how to solve steps in multi-step expressions. Any operations contained within parenthesis or brackets are first solved. After that, we handle any exponents. Third, we perform all division and multiplication operations from left to right. Fourth, all addition and subtraction problems are solved from left to right.

Remember PEMDAS when simplifying multi-step expressions, i.e.:

P (Parentheses)

E (Exponents, Powers and Square Roots)

MD (Multiplication and Division, left-to-right)

AS (Addition and Subtraction, left-to-right)

The expression given in the problem is:  9 + 1.34 + 1 2 (3.50 +1.74)

Apply the above operation order:

Step 1: solve the addition inside the parenthesis

9 + 1.34 + 1 2 (3.50 +1.74)  =  9 + 1.34 + 1 2 (5.24)

Step 2: Multiply the result by 12

9 + 1.34 + 1 2 (5.24) = 9 + 1.34 + 62.88

Step 3: Apply addition from left to right

9 + 1.34 + 62.88 = 73.22

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After considering all the given data we come to the conclusion that the volume of the prism is 1440 in³, under the condition that A rectangular pyramid has a volume of 480 in.

The volume of a rectangular pyramid is represented by the formula
(1/3) × base area × height.
Now, the volume of a rectangular prism is given by the formula
base area × height.
Now if we consider the rectangular prism has a base and height congruent to the pyramid, then the base area of the prism is equivalent to the base area of the pyramid. Then, the volume of the prism is equivalent to three times that of the pyramid.

Hence, the volume of the pyramid is 480 in³, we can evaluate the volume of the prism
Volume of prism = 3 × Volume of pyramid
= 3 × (1/3) × Base area × Height
= Base area × Height
Then, the volume of the rectangular prism is
480 × 3
= 1440 in³.
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Answer:

20३८३८३८३३८३८३८३८९२२

Step-by-step explanation:

82282922929293

Answer:

the length of its equal sides = 26 cm

Step-by-step explanation:

A = b*h/2

h = 2*A/b

h = *240/20

h = 26 cm

hypotenuse = \(\sqrt{10^2 + 24^2} = 26 cm\)

The actual area of the closet's floor is 3.52 square meters.

To find the actual area of the closet's floor, we first need to convert the dimensions from the scale drawing to their actual dimensions.

According to the given scale, 2 cm on the scale drawing represents 1 meter in reality. Thus, to convert the dimensions from the scale drawing to actual dimensions, we need to multiply each dimension by the conversion factor:

Actual length = 4.4 cm × (1 m / 2 cm) = 2.2 m

Actual width = 3.2 cm × (1 m / 2 cm) = 1.6 m

Now that we have the actual dimensions, we can calculate the actual area of the closet's floor:

Actual area = Actual length × Actual width

= 2.2 m × 1.6 m

= 3.52 square meters

Therefore, the actual area of the closet's floor is 3.52 square meters.

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Answer:

A; (4,4), (8,8) and (12,16)

Step-by-step explanation:

The value x starts with 4 and add 4 to each term

The value y start with 4 and each term next is multiplied by 2

So for x, we have;

4 , (4 + 4) and (4 + 4 + 4)

= 4,8 and 12

For y;

we have ;

4, (4 * 2) , (4 * 2 * 2)

= 4, 8, 16

so pairing up, we have;

(4,4), (8,8) and (12,16)

Answer:

where is the chart?????

The table F shows a proportional relationship.

A proportional relationship, also known as direct variation, exists when two variables are related in such a way that their ratio remains constant.

As one variable increases or decreases, the other variable changes by a consistent factor.

In the given tables, the table F represents a proportional relationship.

x/y=1/2=2/4=4/8=5/10

The ratio is constant x/y=1/2.

Hence, the table F shows a proportional relationship.

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Answer:

13/16 is the answer. Bad handwriting but try to understand .

Answer:

y = 5/4x + 1

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

y=(5/4)x(-8)+3

Step-by-step explanation:

EZ

Given:

The height h of an object after t seconds is

\(h=-16t^2+48t+210\)

The height of a neighboring 50-foot tall building is modeled by the equation h=50.

The time (t) when the object will be at the same height as the building is found to be t = –2 and t = 5.

To find:

The statement which describes the validity of these solutions.

Solution:

We have,

\(h=-16t^2+48t+210\)

Here, t is the time in seconds.

For t=-2,

\(h=-16(2)^2+48(-2)+210\)

\(h=-64-96+210\)

\(h=50\)

For t=5,

\(h=-16(5)^2+48(5)+210\)

\(h=-400+240+210\)

\(h=50\)

So, the value of h is 50 at t=-2 and t=5.

We know that time is always positive so it cannot be negative value. It means t=-2 is not possible.

The solution t = 5 is the only valid solution to this system since time cannot be negative.

Therefore, the correct option is C.

A scatter plot is used to visualize sample data graphically and to draw preliminary conclusions about the possible relationship between the variables.

A scatter plot is used to visualize sample data graphically and to draw preliminary conclusions about the possible relationship between the variables. It is a type of mathematical diagram that utilizes Cartesian coordinates to display values for typically two variables for a set of data.

The data is displayed as a collection of points, each with the value of one variable determining the position on the horizontal axis and the value of the other variable determining the position on the vertical axis. Scatter plots are extremely useful when there are a large number of data points.

Summery:A scatter plot is used to visualize sample data graphically and to draw preliminary conclusions about the possible relationship between the variables.

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Answer:

children is 48 and adults is 8.25 and children is 90

Step-by-step explanation:

Answer:

y=x2

I got it solved! tell me if it helped

The ratio of the edge length of the large cube (8 cm) to the small cube (2 cm) can be written as 8:2 or 4:1.

Comparing two or more related quantities using a ratio typically involves using a fraction or decimal. Ratios are used to evaluate relationships between two or more things or to compare values.

To calculate this ratio, we divide the length of the large cube (8 cm) by the length of the small cube (2 cm). The result is 4, which is the first number in the ratio. The second number in the ratio is the number we divided by, which is 1. Therefore, the ratio of the edge length of the large cube to the small cube is 4:1.

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To evaluate the integral ∫[1 to 6] f(x) dx, where f(x) = {2x if 1 ≤ x ≤ 2, 6 - 2x if 2 < x ≤ 6}, we need to split the integral into two parts based on the given piecewise function and evaluate each part separately.

Since the function f(x) is defined differently for different intervals, we split the integral into two parts: ∫[1 to 2] f(x) dx and ∫[2 to 6] f(x) dx.

For the first part, ∫[1 to 2] f(x) dx, the function f(x) = 2x. We can interpret this as the area under the line y = 2x from x = 1 to x = 2. The area of this triangle is equal to the integral, which we can calculate as (1/2) * base * height = (1/2) * (2 - 1) * (2 * 2) = 2.

For the second part, ∫[2 to 6] f(x) dx, the function f(x) = 6 - 2x. This represents the area under the line y = 6 - 2x from x = 2 to x = 6. Again, this forms a triangle, and its area is given by (1/2) * base * height = (1/2) * (6 - 2) * (2 * 2) = 8.

Adding the areas from the two parts, we get the total integral ∫[1 to 6] f(x) dx = 2 + 8 = 10.

Therefore, by interpreting the given piecewise function geometrically and calculating the areas of the corresponding shapes, we find that the value of the integral is 10.

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Answer:

It was correct for plato!

Step-by-step explanation:

Answer: I have put picture in there

Step-by-step explanation:

Answer:

6 Slices

Step-by-step explanation:

Total units = 1 + 3 + 2 = 6 Units

6 Units = 18 Slices of Pizza

Iris shared 2 units.

1 Unit = 18/6 = 3 Slices of Pizza

2 Units = 2 * 3 = 6 Slices of Pizza

Answer:

Car

Step-by-step explanation:

90/50=1.8

45/30=1.5

1.5*90=135

Answer:

The money saved is $153-$147= $6

Step-by-step explanation:

Science center tickets are 3 for $36.75

so 12 tickets costs =4*36.75=$147

and zoo tickets are 4 for $51

so 12 tickets costs =3* 51=$153

The money saved is $153-$147= $6

Step-by-step explanation:

The sum of integers is: S = n(a + l)/2

Integer numbers are those without fractional or decimal parts. When there are fewer numbers to add, it is possible to determine the sum of integers using basic mathematics. However, we employ the sum of integers formula if we need to add multiple consecutive integers at once. Our computations are made easier, and the amount of time we spend adding is reduced.

The sum of an arithmetic sequence's n terms is what is meant by the sum of integers formula. The formula for the sum of integers is:

S = n(a + l)/2

where,

S = sum of the consecutive integers

n= number of integers

a= first term

l = last term

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Answer:

the answer is D or A

Step-by-step explanation:

step-by-step explanation

I hope this helps

Answer:

\(3(x - 6) = - 12 \\ 3x - 18 = - 12 \\ 3x = - 12 + 18 \\ 3x = 6 \\ x = \frac{6}{3} \\ x = 2\)

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

Answer:

x = 2

3 (x-6) = -12

3x - 18 = -12

3x - 18 + 18 = -12 + 18

3x = 6

3x/3 = 6/3

Hence,  x= 2

Step-by-step explanation:

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hope it helps u

Answer:

2x10 + 2x1 + 0/10 + 5/100 + 6/1000

Step-by-step explanation:

19x + 7x + 10x = 180°

36x = 180

x = 5°

largest angle = 19 * 5 = 95°

Answer:

C. 95°

Step-by-step explanation:

19x+ 7x +10x = 180 (sum of the interior angles of a triangle is 180)

36x = 180

x= 180÷36

x= 5

Magnitude of the largest angle

= 19× x

= 19× 5

= 95

Answer:

option c is the correct answer

Answer:

0.95 and 95%

Step-by-step explanation:

19/20 as a decimal is 19÷20=0.95

as it's 0.95 as a decimal it's 95% as a percentage

Answer:

A) 0.95

B) 95%

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The mathematical equation that explains how the dependent variable y is related to several independent variables x1, x2, xp, and the error term is: y = b0 + b1x1 + b2x2 + ... + bpxp + ε.

The mathematical equation that explains how the dependent variable y is related to several independent variables x1, x2, xp and error term is known as the multiple regression equation.

This equation can be expressed as follows:
y = b0 + b1x1 + b2x2 + ... + bpxp + ε

where b0 is the intercept term, b1, b2, ..., bp are the regression coefficients for each independent variable, and ε is the error term which captures the unexplained variation in the dependent variable y.

This equation can be used to estimate the values of the dependent variable based on the values of the independent variables and their corresponding regression coefficients.

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Answer:

∠ BAC and ∠ CAD

Step-by-step explanation:

• Complementary angles sum to 90°

∠ BCA and ∠ ACD are a linear pair and sum to 180°

∠ BCA + 110° = 180° ( subtract 110° from both sides )

∠ BCA = 70°

the sum of the 3 angles in a triangle = 180°

in Δ ABC

∠ BAC + 55° + 70° = 180°

∠ BAC + 125° = 180° ( subtract 125° from both sides )

∠ BAC = 55°

in Δ ACD

∠ CAD + 110° + 35° = 180°

∠ CAD + 145° = 180° ( subtract 145° from both sides )

∠ CAD = 35°

then

∠ BAC + ∠ CAD = 55° + 35° = 90°

∠ BAC and ∠ CAD are complementary

Answer:

  (a)  ∠BAC and ∠CAD

Step-by-step explanation:

You want to know which angles in the figure are complementary.

Two angles are complementary when the total of their measures is 90°. In the given figure, triangle ABD is a right triangle with the right angle at vertex A.

The two acute angles at vertices B and D will be complementary:

  ∠ABC and ∠CDA . . . . . not on the list of choices

Ray AC divides the right angle into two complementary parts:

  ∠BAC and ∠CAD . . . . . first choice on the list

__

Additional comment

The two smaller triangles are isosceles. Angles CDA and CAD are both 35°, so have a sum of 70°. Likewise, angles ABC and BAC are both 55°, with a sum of 110°.

Angles BCA and ACD are a linear pair, so have a sum of 180°. They are supplementary, not complementary.