Richard and Gloria ran a 10-kilometer race. Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the start line. The distances of Richard and Gloria past the start line as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Whose time was faster, and by how much? Richard’s Distance Past the Start Line Time (minutes) 5 10 15 20 25 Distance (kilometers) 2.8 3.4 4.0 4.6 5.2 Gloria’s time was 0.5 minutes faster. Richard’s time was 0.5 minutes faster. Gloria’s time was 2.5 minutes faster. Richard’s time was 2.5 minutes faster.

Answer:

Step-by-step explanation:

The integers are -3,-4,-5, and -6.

-3+ -4+ -5+ -6= -18

Answer:

Its 11

Step-by-step explanation:

1*1 is 1. 1 is a prime number. hope this helps :)

Answer:

11

Step-by-step explanation:

Composite number is positive number which is greater than 1. The composite number cannot be a prime number.

The composite numbers starting from 4.

Composite numbers: 2, 4, 6, 8, 9,10, 12, 14, 15...

We need to find the two digits number that are the same and their product is not composite.

So the number 11.

11 is not a composite number.

The product of the digits:  1 times 1 = 1 which is also not a composite number.

Therefore, the answer is 11.

Lisa's assertion that Josh has played twelve times as many soccer matches as her is false. In actuality, Josh has played three times as many matches as Lisa.

In the scenario, Lisa claims that her brother Josh has played in 12 times as many soccer matches as she has. To verify this statement, we would have to multipy the number of matches Lisa played by 12. Hence, 6 (Lisa's matches) times 12 equals to 72 matches. However, we know from the question that Josh has only played 18 matches. Therefore, Lisa's statement is incorrect because, in reality, Josh has only played three times as many matches as Lisa (18 divided by 6 equals 3), not 12 times as many.

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Lisa's statement is not correct because Josh has played in 3 times as many soccer matches as Lisa.

Explanation:

Lisa's statement is not correct because she says Josh has played in 12 times as many matches as she has, but this is not the case. To determine how many times more matches Josh has played compared to Lisa, we can calculate the ratio of Josh's matches to Lisa's matches.

Josh has played in 18 soccer matches and Lisa has played in 6 soccer matches. To find out how many times more matches Josh has played, we divide Josh's matches by Lisa's matches:

Josh's matches / Lisa's matches = 18 / 6 = 3

So, Josh has played in 3 times as many soccer matches as Lisa. Lisa's correct statement would be that Josh has played in 3 times as many matches as she has.

The probable question can be: content loaded

Lisa has played in 6 soccer matches. Her brother Josh has played in 18 soccer matches. Lisa says Josh has played in 12 times as many matches as she has. Use the drop-down menus to explain why Lisa's statement is not correct. ( Click the arrows to choose an answer from each menu.

Lisa found the number that when _______. Instead, Lisa could have used the equation ________. Josh has played in _______ times as many soccer matches as Lisa.

Answer:

Yeah so its obvious

Step-by-step explanation:

you just multiply 7 x 4.25

Dakota will earn $29.75 for 7 hours of work at IKEA, by multiplying his hourly wage of $4.25 by 7 hours.

Dakota will be getting paid $4.25 per hour for testing sofas and beds at IKEA. To find out how much Dakota will earn for 7 hours of work, we simply need to multiply the hourly wage by the number of hours worked. The calculation is as follows:

Calculation

Hourly Wage: $4.25

Hours Worked: 7 hours

Total Earnings = Hourly Wage  imes Hours Worked

= $4.25 times 7

= $29.75

Therefore, Dakota will earn $29.75 for 7 hours of work testing sofas and beds.

Answer:

1.   9.12

2.   10.64

3.    12.16

b- No it does not because it does not include the 5 pennies that are already there.

Step-by-step explanation:

Answer:

The EcoShir shop

Step-by-step explanation:

as he needs to pay 4dollar for 1 shirt

so if he pays for 3 = 12 dollar for 4 shirts

and thus need to pay maximum 96 dollars

for 32 Tshirts

but needs to pay 120 in budgetShirts for 30 Tshirts

Answer:

answer is 1 hoping I'm right

Answer: x = 4

Step-by-step explanation:

Given : A coordinate grid with 2 lines.

One line, labeled f(x) passing through (- 3, 3), (0, 3), and the point (4, 3). (i)

The other line is labeled g(x) and passes through (- 4, -3), (0, 0), and the point (4, 3).                                                                                  (ii)

We generally denote x values as input values and y values as output values.

From (i) and (ii), the common point on both lines = (4,3)

Here, input value = 4

Output value = 3

Hence, the input value produces the same output value for the two functions on the graph : x=4

the equation is Y=-2/3x+2/3

Answer:

Step-by-step explanation:

35.800

Answer:

Answer from the answer data to choose from

Factor completely

[tex]3\left(x+\dfrac{3-\sqrt{13}}{2}\right)\left(x+\dfrac{3+\sqrt{13}}{2}\right)[/tex]

Step-by-step explanation:

[tex]3x^2+9x-3=(3)(x^2)+(3)(3x)-(3)(1)\\\\=(3)(x^2+3x-1)\\\\\text{For}\ x^2+3x-1\ \text{use the quadratic formula}\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x^2+3x-1\to a=1,\ b=3,\ c=-1\\\\x=\dfrac{-3\pm\sqrt{3^2-4(1)(-1)}}{2(1)}=\dfrac{-3\pm\sqrt{9+4}}{2}=\dfrac{-3\pm\sqrt{13}}{2}=-\dfrac{3\pm\sqrt{13}}{2}\\\\3x^2+9x-3=3\left(x+\dfrac{3-\sqrt{13}}{2}\right)\left(x+\dfrac{3+\sqrt{13}}{2}\right)[/tex]

Answer:

Step-by-step explanation:

https://imgur.com/a/Wqzrtem

Final answer:

To solve the student's question, we created a system of equations based on the given conditions, solved for the two numbers using algebraic methods, and verified that the numbers 22 and 20 have a difference of 2 and a product of 440.

Explanation:

The student has asked to find two numbers where their difference is 2 and their product is 440. This problem can be solved by establishing a system of equations and using algebraic methods to find the two numbers.

Let x be the larger number and y be the smaller number. According to the question, we have two equations:

x - y = 2

x × y = 440

From the first equation, y can be expressed as x - 2. Subsequently, by substituting y in the second equation, we get x(x - 2) = 440. Simplifying this yields a quadratic equation: x² - 2x - 440 = 0. Solving the quadratic equation gives us two possible values for x, which we can then use to find the corresponding values of y.

By factoring, we determine the two numbers that satisfy both conditions are 22 and 20. To verify this, we must ensure that the difference between these two numbers is 2 and their product is 440, which is indeed the case: 22 - 20 = 2 and 22 × 20 = 440.

Answer:

5x^3 - 2x^2 + 2x + 9.

Step-by-step explanation:

(5x^3 + 4x^2) – (6x^2 – 2x – 9)

Remove the parentheses . Note the negative is distributed over the second parentheses:

=  5x^3 + 4x^2 – 6x^2 + 2x + 9

=  5x^3 - 2x^2 + 2x + 9.

Answer:

d

Step-by-step explanation:

edge 2020

Answer:

In the number 767, the first 7 does not have the same value as the final 7. This is because the first 7 is in the hundreds place, and that would be 700, if the other numbers weren't there. On the other hand, the last 7 is in the ones place, so if it was by itself, it would be just 7.

Answer:

Mary Seitz invested $ 2,000 in the savings account.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Interest rate = 5% simple = 0.05

Time of the investment = 3 years

Amount of interest = $ 300

2. How much money did Mary place in the savings account?

Let's recall the formula of the simple interest:

A = P * (1 + rt), where:

A = Final value of the investment

P = Initial investment

r = Interest rate

t = Time

Replacing with the values we know:

A = P * (1 + 0.05 * 3)

A = P * (1 + 0.15)

P + 300 = 1.15P (A = P + 300)

P - 1.15P = -300

-0.15P = -300

P = -300/-0.15

P = 2,000

Mary Seitz invested $ 2,000 in the savings account.

Answer:

42.41

Step-by-step explanation:

V=π[tex]r^{2}[/tex][tex]\frac{h}{3}[/tex]=π * [tex]3^{2}[/tex] * ≈ 42.4115

The volume of a cone with a radius of 3cm and height of 4.5cm is approximately 42.41 cubic centimeters.

The volume (V) of a cone can be found using the formula: V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone. To find the volume of a cone with a radius of 3cm and a height of 4.5cm, we substitute these values into the formula:

V = (1/3)π(3cm)²(4.5cm)

Calculating this further:

V = (1/3)π(9cm²)(4.5cm)

V = (1/3)π(40.5cm³)

V ≈ (1/3)(3.14159)(40.5cm³)

V = 42.41cm³

Therefore, the volume of the cone is approximately 42.41 cubic centimeters.

Answer:

a. 10 5/8

b. 1 4/9

c. 5 7/12

d. 17 5/6

e. 5 1/10

f. 4 7/8

g. 133 3/8

h. 24 11/12

i. 19 7/10

j. 11 5/12

k. 1 5/12

l. 13 7/9

Step-by-step explanation:

Hello! The step by step solution is to simply add them together. Let's take a. 7 3/8 + 3 1/4 for an example. Change the denominator (the bottom number of the fraction) into something both can go into. 4 can go into 8 and 8 can go into 8. Rewrite the fractions beside the actual numbers. Example: /8 and /8 then remember, 4 goes into 8 two times. So do 1x2=2. Then remember 8 goes into 8 1 time so do 3x1=3. Add the two fractions 3/8+2/8= 5/8. Then add the whole numbers as well. 7+3+5/8= 10 5/8. I know that it's really confusing explaining it through words but if you ever need further explanation don't hesitate to ask! :)

Answer:get a ride back to the school or take it as missing at get like 25% off. Or print the homework

Step-by-step explanation:

Answer:

Email your teacher your problem or try to look if it is online

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Answer:

The nine in 9275 is the thousands, the 2 in 9275 is the hundreds and the 7 in 9275 is the tens and the 5 in 9275 is the ones so try the second one u got this

Answer:

35 cups are needed.

Step-by-step explanation:

We have to divide 8 3/4 by 1/4.

Convert to improper fraction.

8 3/4 = [(8*4) + 3] / 4

= 35 / 4.

35/4 / 1/4

= 4*35 / 4

= 35 cups.

To measure out 8 3/4 cups of flour using a 1/4 measuring cup, you would need to use 35 1/4 cups.

To determine how many 1/4 cups you would need to use, you can divide the total amount of flour required by the size of the measuring cup. In this case, the recipe calls for 8 3/4 cups of flour. So, you would divide 8 3/4 by 1/4.

When you divide a fraction by another fraction, you can multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 1/4 is 4/1, which is the same as 4. So, 8 3/4 ÷ 1/4 is equal to 8 3/4 * 4, which is 35.

Therefore, "you would need to use 35 1/4 cups to measure out 8 3/4 cups of flour".

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Answer:

Step-by-step explanation:

 the midpoint, S of RT is : ((-9)+(-9) /2    ;  ((-11)+(-1))/2)

(-9 ; -6)

Answer:

Step-by-step

In the exponent we write how many times the number is repeated.

[tex]7^{5}[/tex] x [tex]6^{6}[/tex]

Answer:

Step-by-step explanation:

We have 5 7's and 6 6's.

I'm always happy to help :)

Answer:

60%

Step-by-step explanation:

[tex]percentage = \frac{44.4}{74} \times 100\% = 60\%[/tex]

Answer:

60%

Step-by-step explanation:

In questions like these, we take 74 to be the whole. As such, we express the whole as 100%. Then, we take 44.4 as just a portion of the whole. We therefore ask ourselves, what portion of the whole is 44.4.

We take 44.4 as the numerator and the whole, 74, as the denominator. We then express 44.4 as a fraction of the denominator. That is,

44.4/74

To express this as a percent, we multiply the above results by 100.

Thus, (44.4/74) x 100

    = 60%

Answer:

$42

Step-by-step explanation:

Every week, the price of jeans reduced by $6.

The total value of price reduction over the 7-week period can be calculated as the product of price reduction per week and the number of weeks. Thus,

Total price reduction = price reduction per week x number of weeks

                          = $6 x 7

                           =$ 42

Answer:

The inequality would be 8+5x[tex]\leq[/tex]-28

Step-by-step explanation:

The sentence says "8 increased", this is telling you that the inequality includes the number 8 that is being added to something else.

"Product of a number and 5", this tells you that there is a variable that is being multiplied by 5.

"at most -28" means that it is less than or equal to -28.

The sentence 'Eight increased by the product of a number and 5 is at most -28' is translated into the inequality 8 + 5x <= -28, which simplifies to x <= -7.2.

The sentence "Eight increased by the product of a number and 5 is at most -28" can be translated into the following inequality:

Let x be the unknown number. Then the product of this number and 5 would be 5x. According to the sentence, if you increase eight by this product (which is 8 + 5x), the result should be 'at most -28'. In mathematical terms, 'at most' means less than or equal to. So, the inequality that represents this sentence is:

8 + 5x ≤ -28

To solve the inequality, subtract 8 from both sides:

5x ≤ -28 - 8

5x ≤ -36

Finally, divide both sides by 5 to isolate x:

x ≤ -36 / 5

x ≤ -7.2

This inequality means that x, the unknown number, must be less than or equal to -7.2.

Answer:One solution was found :

                  k = 400

Reformatting the input :

Changes made to your input should not affect the solution:

(1): ".56" was replaced by "(56/100)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    k/7-(32/(56/100))=0  

Step by step solution :

Step  1  :

           14

Simplify   ——

           25

Equation at the end of step  1  :

 k    14

 — -  ——  = 0  

 7    25

Step  2  :

                14

Divide  32  by  ——

                25

Equation at the end of step  2  :

 k    400

 — -  ———  = 0  

 7     7  

Step  3  :

           k

Simplify   —

           7

Equation at the end of step  3  :

 k    400

 — -  ———  = 0  

 7     7  

Step  4  :

Adding fractions which have a common denominator :

4.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

k - (400)     k - 400

—————————  =  ———————

    7            7    

Equation at the end of step  4  :

 k - 400

 ———————  = 0  

    7    

Step  5  :

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 k-400

 ————— • 7 = 0 • 7

   7  

Now, on the left hand side, the  7  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  k-400  = 0

Solving a Single Variable Equation :

5.2      Solve  :    k-400 = 0  

Add  400  to both sides of the equation :  

                     k = 400

One solution was found :

                  k = 400

Step-by-step explanation:

Answer:

-11

Happy to Help You! :)