Use the ratio table to find the unit rate with the specified units.

Answer:

Jiri's age = 27

Step-by-step explanation:

Let's use x for Jiri's age.

Jiri's age = x

And because Pamela is 8 years older:

Pamela's age = x + 8

Since their ages added up equal 62, the equation will be:

x + x + 8 = 62

2x + 8 = 62

2x + 8 - 8 = 62 - 8

2x = 54

2x/2 = 54/2

x = 27

And because Jiri's age is x, Jiri's age will therefore be 27.

Hope this helped!

Answer:

Jiri is 27 years old.

Step-by-step explanation:

Step 1: Declare variables

Since Pamela is 8 years older than Jiri. Then, Pamela’s age is \(\displaystyle{8+x}\) years old.

Step 2: Form an equation

The sum of their ages together equals to 62. Therefore, we can express in mathematics/equation of \(\displaystyle{x+8+x=62}\) (sum of Jiri’s age and Pamela’s).

Step 3: Solve for x-term - add like terms (x-term)

\(\displaystyle{2x+8=62}\)

Step 4: Subtract both sides by 8

\(\displaystyle{2x+8-8=62-8}\\\\\displaystyle{2x=54}\)

Step 5: Divide both sides by 2

\(\displaystyle{\dfrac{2x}{2}=\dfrac{54}{2}}\\\\\displaystyle{x=27}\)

Since Jiri’s age is defined as \(x\) years old. Therefore, Jiri’s age is 27 years old.

Please let me know if you have any questions!

Answer:

$675

Step-by-step explanation:

100%=>$900

25%=>X

25% × $900 ÷ 100% = $225

So $900 - $225 = $675

Answer:

Andre should stop at (-3 , 6.5)

Step-by-step explanation:

The change in x is from -15 to 25 which is 40 units. 40 x 3/10 = 12 which means Andre moves 12 units right starting from -15 so the x coordinate is -15+12 = -3

The change in y is from 2 to 17 which is 15 units. 15 x 3/10 = 4.5 which means Andre moves 4.5 units up starting from 2 so the y coordinate is 2+4.5 = 6.5.

Answer:

7:20 p.m.

Step-by-step explanation:

First, we can find the distance that each friend will be from their house at the time when they meet each other.

To find this, we can multiply the ratio \(8 \text{ mi} : 7 \text{ mi}\) by a constant such that the sum of both numbers in the ratio is 20, since the friends' houses are 20 miles apart. Solving for this constant:

\(\dfrac{20}{7 + 8} \\ \\ = \dfrac{20}{15} \\ \\ \boxed{=\dfrac{4}{3}}\)

Multiplying the constant by both sides of the ratio:

\(\dfrac{4}{3}\left(8 \text{ mi}) : (7 \text{ mi}\right)\dfrac{4}{3}\)

\(\boxed{= \dfrac{32}{3} \text{ mi} : \dfrac{28}{3} \text{ mi}\right)}\)

So, we know that the first friend will have traveled 32/3 or 10 2⁄3 miles when they meet, and the second friend will have traveled 28/3 or 7 1⁄3 miles.

Now, to calculate what time they will meet, we can divide how far one of the friends has traveled by how fast they were traveling. This will give us the minutes it will take them to get to the meeting place. We can then add that amount of minutes to 6:00 p.m. to calculate when they will meet.

I will use the fast friend (traveling at 8 mph).

\(\dfrac{32}{3} \text{ mi} \cdot \dfrac{60 \text{ min}}{8 \text{ mi}}\)

— Also note that I substituted 1 hour for 60 minutes in the mph ratio.

\(= \dfrac{32}{3} \not\text{mi} \cdot \dfrac{60 \text{ min}}{8 \not\text{mi}}\)

\(= \dfrac{32 \cdot 60}{3 \cdot 8} \text{ min}\)

\(= \dfrac{32}{8} \cdot \dfrac{60}{3} \text{ min}\)

\(= 4 \cdot 20 \text{ min}\)

\(\boxed{= 80\text{ min}}\)

Adding those minutes to 6:00, noting that 80 min = 1 hr 20 min:

\(\text{ } \ \, 6\!:\!00 \text{ p.m.}\\\underline{+ 1\!:\!20}\\\\\text{ }\, \boxed{7\!:\!20 \text{ p.m.}}\)

So, the friends will meet at 7:20 p.m.

Answer:

7:20

I think

T-T

12

because the greatest common factor (gcf) of the two numbers 36 and 24 is 12. Hence, if he makes 12 packages, they would be identical.

The function for the points are  y = -15x - 5

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

Learn more about functions at: https://brainly.com/question/25638609

#SPJ1

The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

To know more about functions and points:

https://brainly.com/question/30721594

Answer:

The rate of speed is 250 mph. That means the jet can travel 2,750 miles in 11 hours.

Step-by-step explanation:

The rate of speed is 500 divided by 2 to get the speed for one hour. Then you take that to get the distance covered in 11 hours by taking 500 divided by 2, which is 250, and multiplying that by 11.

Answer: 500 divided by 2 = 250 miles per hour. 250 x 11 = 2750 miles in 11 hours.

Answer:

Step-by-step explanation:

y=4/2x

Answer:

Sorry I couldn't understand ur question

1. Start the search among 2-digit numbers. A dropdown number (DDN) with 2 digits is a number \(ab\) such that

\(\dfrac{a+b}2 = a \implies a + b = 2a \implies b = a\)

or

\(\dfrac{a+b}2 = b \implies a+b = 2b \implies a=b\)

but both of these solutions violate the requirement that the digits are distinct, so there are no 2-digit DDNs.

A 3-digit DDN \(abc\) is such that

\(\dfrac{a+b+c}3 = a \implies a+b+c = 3a \implies b+c = 2a\)

or \(a+c=2b\) if the average is \(b\), or \(a+b=2c\) if the average is \(c\). The smallest possible value for \(a\) is 1 since we require 3 digits. Then \(b+c=2\), and we can pick \(b=0\) and \(c=2\) to get the smallest DDN, 102.

2. In a 4-digit DDN \(abcd\), we have

\(\dfrac{a+b+c+d}4 = a \implies a + b + c + d = 4a \implies b+c+d=3a\)

or \(a+c+d=3b\) or \(a+b+d=3c\) or \(a+b+c=3d\).

We're free to fix \(a=1\) and \(b=0\) to try to get the smallest DDN. This leaves us with \(c+d=3\) or \(c+d=-1\) or \(1+d=3c\) or \(c=3d\).

The first two cases are impossible - the only choices for \(c,d\) such that \(c+d=3\) are 1 and 2, and the sum of two positive integers must be positive. The smallest possible value of \(c\) is 2; this leaves us with \(1+d=6\) or \(2=3d\), but the latter case is impossible because 3 does not divide 2. So \(d=5\), and the smallest 4-digit DDN is 1025.

To find the largest DDN, start with the largest possible values for \(a\) and \(b\). Let \(a=9\) and \(b=8\). Then \(c+d=19\) or \(c+d=15\) or \(17+d=3c\) or \(17+c=3d\). At most, we can have \(c+d=13\) with 7 and 6, so the first two cases are impossible. If we maximize \(c=7\), then either \(17+d=21\implies d=4\) or \(24=3d\implies d=8\) (which we don't want). So the largest 3-digit DDN is 9874.

3. I don't have an analytical solution to this, but using brute force (program) the total count is 112.

4. It is possible; consider 1249 and 1250, with digital averages

\(\dfrac{1+2+4+9}4=4 \text{ and } \dfrac{1+2+5+0}4=2\)

which happens to be the smallest pair. (Also found with brute force.)

x = -29/7

Step-by-step explanation:

A(x) = (x^2 + 5x + 6)(x + 5) - (x^2 + 3x - 4)(x + 7)

= (x^3 + 10x^2 + 31x + 30) - (x^3 + 10x^2 + 17x - 28) = 14x + 58

A(x) = 0 => 14x + 58 =0 => x = -58/14 = -29/7

Answer:

778744

Step-by-step explanation:

387t98878989890

Answer:

17 Cm

I hope it helped :)

Answer: 4/5

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The angle opposite the longest side is the largest

The angle opposite the shortest side is the smallest

So the angle opposite 6 cm is smaller than the angle opposite 7 cm

Answer:

False

Step-by-step explanation:

it is not true!

Answer:

This example represents discrete data.

Step-by-step explanation:

Discrete data refers to information that can only take certain specific values. In this case, the number of pamphlets added to the box (x) can only take on integer values such as 0, 1, 2, 3. Similarly, the effect on the box's weight (y) is also given as specific values: 0, 6, 12, 18.

In contrast, continuous data would involve measurements that can take any value within a range, such as height, weight, or temperature.

Since the number of pamphlets added and the corresponding effect on the box's weight are presented as specific, separate values, the data in this example is considered discrete.

Answer:

The answer is D.

Step-by-step explanation:

If you multiply 2/3 by 2 you get 4/3 and if you simplify you get 1 1/3. Hope this helps! Have an amazing day!

Answer: 1,3,11

Step-by-step explanation:

Answer: it is taken be C

Step-by-step explanation:

Answer:  the 3 yards.

Step-by-step explanation:

Answer:

2 yards for $7

Step-by-step explanation:

If buying 3 yards for $11.25,

1 yard would be 11.25÷3

                         =3.75

if buying 2 yards for $7.00,

1 yard would be 7 ÷ 2

                          =3.50

hence ,  2 yards for $7.00 would be the better buy

Answer:

The Only Possible Max amount is $1.99

Step-by-step explanation:

If she has change and doesnt have enough for a two dollar bill then we use common sense,

$1 = 100 cents

$2 = 200 cents but she cant get 2 dollars so we subtract 1 cent from 200 cents and end up with 199 cents which is 1 dollar 99 cents

the answer is y= - x +14

please give me brainlist

Answer:

y = -x + 14

Step-by-step explanation:

Here's the plot below if you need :)

Answer:

18 miles

Step-by-step explanation:

6x3=18

Answer:

18 miles

Step-by-step explanation:

6 miles/hour

FOR 3 hours

6 miles x 3 hours = 18 miles

Answer:

0.789 + 0.631 + 0.542

Step-by-step explanation:

This is just my thought over estimate

Answer:

10x

Step-by-step explanation:

Multiple 1 and 10 add thex

Answer: megan went a total distance of 1 5/12 miles or 17/12 (use which ever you need)

Step-by-step explanation:

Here, we want to calculate the total distance worked around the track

We are told that she ran 9/12 and skipped 8/12

The total distance around the track will be the sum of these two

Mathematically, that will be;

9/12 + 8/12= 17/12 but if wanted in mixed fraction \(1\frac{5}{12}\)

Answer:

x = -4

Step-by-step explanation:

I simplified both sides, then, isolated the variable

Answer:

105 square feet

Step-by-step explanation:

Area of wall: 14 x 9 = 126 ft^2

Area of door: 7 x 3 = 21 ft^2

126 - 21 = 105 ft^2

BRAINLIEST? TY!! :DD