1a. Javier jogs 3/4 of a mile in 8 1/2 minutes.

If he keeps the same pace, how many minutes does it take him to jog 1 mile?

(answer as a mixed number)

1b. A recipe for 1 1/4 dozen of cupcakes calls for 1 2/3 cups of flour, but Rashida has only 1 cups of flour.

How many cupcakes can she make?

(answer as a mixed number)

Answers

Answer 1
Final answer:

Javier takes 5 1/8 minutes to jog 1 mile. Rashida can make 2 cupcakes with 1 cup of flour.

Explanation:

1a. To find out how many minutes it takes Javier to jog 1 mile, we can set up a proportion. Since he jogs 3/4 of a mile in 8 1/2 minutes, we can set up the equation: (3/4)/(8 1/2) = 1/x, where x is the number of minutes it takes him to jog 1 mile. To solve for x, we can cross multiply and simplify the equation.

First, we convert 8 1/2 to an improper fraction: 8 1/2 = 17/2.

Then, we can multiply both sides of the equation by 2 (to get rid of the denominator): (3/4) * 2 = (17/2) * (1/x). After simplifying, we get x = 5 1/8. Therefore, it takes Javier 5 1/8 minutes to jog 1 mile.

1b. To find out how many cupcakes Rashida can make with only 1 cup of flour, we can set up a proportion. Since the recipe calls for 1 2/3 cups of flour for 1 1/4 dozen of cupcakes, we can set up the equation: (1 2/3)/(1 1/4) = 1/x, where x is the number of cupcakes Rashida can make. To solve for x, we can cross multiply and simplify the equation.

First, we convert 1 2/3 to an improper fraction: 1 2/3 = 5/3.

Then, we can multiply both sides of the equation by 3 (to get rid of the denominator): (5/3) * 3 = (1 1/4) * (1/x). After simplifying, we get x = 2. Therefore, Rashida can make 2 cupcakes with 1 cup of flour.

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Related Questions

3^0·10^(-4)=
a)-120
b)1
c)1/10,000

Answers

Answer:

b

Step-by-step explanation:

3^0

Christa solved the equation 5 (x-2)+6= 2x-4+ 3x and obtained -4 = -4. This means that the equation has
A. No solution
B. One solution
C. Two solutions
D. Many solutions

Answers

Step-by-step explanation:

Since -4 is indeed equal to -4, we can say that D, there are many solutions since all real numbers are a solution because any number is equal to itself :)

Final answer:

The equation 5(x-2)+6 = 2x-4+3x has infinitely many solutions.

Explanation:

To solve the equation 5(x-2)+6 = 2x-4+3x, we start by distributing the 5 to the terms inside the parentheses: 5x - 10 + 6 = 2x - 4 + 3x. Next, we combine like terms on both sides of the equation: 5x - 4 = 5x - 4. This simplifies to 0 = 0, which means that both sides of the equation are equal.

Since the equation is true no matter what value of x we choose, this means that the equation has infinitely many solutions.

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What is the length of the diagonal?

Answers

Answer:

length of x is 50 yards

Step-by-step explanation:

Pythagorean Theorem:  a^2 + b^2 = c^2

30^2 + 40^2 = c^2

900 + 1600 = c^2

2500 = c^2   need to solve for c, square root both sides

50 = c

The length of the diagonal is 50 yards. The diagonal of a rectangle divides the rectangle into two right-angled triangles. Thus, by applying the Pythagoras theorem we can able to find the length of the diagonal.

What is the Pythagoras theorem?

The theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle) and the algebraic notation, [tex]a^2 + b^2 = c^2[/tex].

Finding the diagonal of the rectangle:

The diagonal of a rectangle divides the rectangle into two halves of right-angled triangles.

The length and breadth of the rectangle are 40 yards and 30 yards.

The diagonal x divides the rectangle. So, it becomes a common hypotenus for the two right-angled triangles.

So, applying the Pythagoras theorem.

x^2 = (40)^2 + (30)^2

     = 1600 + 900

     = 2500

Thus, the value of x is 50 yards.

Therefore, the length of the diagonal is 50 yards.

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Sophie drank 8 cups of water one day. How many pints of water did she drink?

Answers

Sophie drank 4 pints of water.

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

➷The answer is 4.

She drank 4 pints of water.

Each cup is 1/2 of a pint, so you divide by 2

Therefore, you would get 4 pints of water.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

Help please ! It is precal

Answers

Answer:

The answer is the third

S = 16 t²

Step-by-step explanation:

* Lets study the order pairs in C to find what is the relation

  between the input (t) and the output (S)

∵ C = {(t , S): (0 , 0) , (1 , 16) , (2 , 64) , (3 , 144) , .............}

∵ (0 , 0) is the first point

∴ There is no plus or minus in the relation between S and t

∴ We refused the last answer S = 16(t + 1)² because

  if t = 0 then S = 16(0 + 1) = 16 ≠ 0

- If we chose the first answer:

∵ S = 16t  

∵ t = 0 ⇒ S = 16(0) = 0 ⇒ its right

∵ t = 1 ⇒ S = 16(1) = 16 ⇒ its right

∵ t = 2 ⇒ S = 16(2) = 32 ⇒ its wrong

∴ We refused the first answer

- If we chose the second answer:

∵ S = (16t)²

∵ t = 0 ⇒ S = (16×0)² = 0 ⇒ its right

∵ t = 1 ⇒ S = (16×1)² = 256 ⇒ wrong

∴ We refused the second answer

- If we chose the third answer:

∵ S = 16 t²

∵ t = 0 ⇒ S = (16)(0)² = 0 ⇒ its right

∵ t = 1 ⇒ S = (16)(1)² = 16 ⇒ its right

∵ t = 2 ⇒ S = (16)(2)² = 16 × 4 = 64 ⇒ its right

∵ t = 3 ⇒ S = (16)(3)² = 16 × 9 = 144 ⇒ its right

∴ every time we multiply 16 by the square of the value of t

∴ We accept the third answer

A y=cos(x+pi/2)
B y=cos(x+2pi)
C y=cos(x+pi/3)
D y=cos(x+pi)

Answers

Answer:

D

Step-by-step explanation:

There was actually too much work for this on my paper so I can't really show it, but if you can memorize this parent function I would.

It’s D) y=cos(x+pi).

La respuesta

Before making invitations, Katrina counted the supplies she bought for her party. She counted 36 water balloons and 81 beads to make bracelets. She then needed to decide how many invitations to make.
What is the largest number of friends she can invite so each person gets the same amount of water balloons and each friend gets the same number of beads?

a.6
b.7
c.9
d.10

please explain thank you.​

Answers

C. 9

If 9 friends come then they all get 4 water balloons and 9 beads (36/9=4, 81/9=9)

The answer can't be D. 10 as 36/10 and 81/10 do not equal whole numbers and her friends can't have a fractional number of water balloons or beads

Answer: C

Step-by-step explanation:

The value of sqrt-9 is not -3 because

Answers

Answer with explanation:

The value of square -9 is not -3 ([tex] \sqrt { - 9 } \neq - 3 [/tex]).

It is because we cannot take a square root of a negative number since any number multiplied by itself is a positive number so you never get a negative value.

Therefore, it given an error if you try to take a square root of a negative number on a calculator.

Answer:

The value of √-9 is not -3 because we cannot take the square root of negative numbers

Step-by-step explanation:

It is not possible to take square root of a negative number.

If any positive number we can take its square roots.

-9 is a negative number.

√9 = ±3 means that,

√9 = 3 or √9 = -3

3 * 3 = 9 and -3 * -3 = 9

Therefore the value of √-9 is not -3

What is the best interpretation of the y-intercept of the line?

Answers

The answer is the 3rd option. hope it helps

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

The y - intercept is where the line hits the y axis.

At age 0, the height in inches was 30.

Therefore, the best interpretation would be "It's likely that Joanna was about 30 inches tall when she was born."

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

Find the volume of a rectanglular prism if the length is x and the width is x^2 and the height is 5x^2 +4x+1. Use the formula v=l•w•h, where the l is the length, w is width and h is height, to find the volume.

Answers

Answer:

The volume = [tex]5x^{5}+4x^{4}+x^{3}[/tex]

Step-by-step explanation:

* The rule of the volume of the rectangular prism:

- the volume of any prism = base area × height

∵ The base of the rectangular prism is rectangle

∵ Area any rectangle = Length × Width = l × w

∴ The volume of the rectangular prism = l × w × h

* In the problem:

∵ l = x , w = x² , h = 5x² + 4x + 1

∴ The volume = (x)(x²)(5x² + 4x + 1)

* We will simplify it

- Multiply x by x² and then multiply the answer by the bracket

∵ x × x² = x³

∴ x³(5x² + 4x + 1)

∵ x³ × 5x² = 5x^5

∵ x³ × 4x = 4x^4

∵ x³ × 1 = x³

∴ The volume = [tex]5x^{5}+4x^{4}+x^{3}[/tex]

what is the product of (x^2 + 3x + 1)(x^2 + x + 2)

Answers

Answer: [tex]x^4+4x^3+6x^2+7x+2[/tex]

Step-by-step explanation:

 To solve this exercise you must apply the proccedure shown below:

- Apply the Distributive property (Remember that when you multiply two powers with the same base, you must add the exponents).

[tex]b^m*b^n=b^{(m+n)}[/tex]

- Add the like terms.

Therefore, you obtain that the product is:

[tex](x^2+3x+1)(x^2+x+2)=x^4+x^3+2x^2+3x^3+3x^2+6x+x^2+x+2\\=x^4+4x^3+6x^2+7x+2[/tex]

The sum of two numbers is 38. The greater number is 8 more than the other number. Find each number. Use a system of linear equations to justify your answer


Answers

Answer:

g + l = 38

g = l + 8

l + 8 + l = 38

2l = 30

l = 15, g = 23

The numbers are 15 and 23. The lesser number is 15, and the greater number is 23.

Final answer:

To find the two numbers, we can set up a system of linear equations. Using substitution method, we find that the numbers are 23 and 15.

Explanation:

To solve this problem, we can set up a system of linear equations. Let's assume that the two numbers are x and y, with x being the greater number.

We're given that the sum of the two numbers is 38, so we can write the equation x + y = 38.

We're also given that the greater number is 8 more than the other number, so we can write the equation x = y + 8.

We can solve this system of equations using substitution or elimination method. Let's use substitution method.

From the second equation, we can substitute the value of x in the first equation:

y + 8 + y = 38

2y + 8 = 38

2y = 30

y = 15

Now, substitute the value of y in the second equation:

x = 15 + 8

x = 23

Therefore, the two numbers are 23 and 15.

a circle diameter of 11 in what is the area of the circle

Answers

30.25π square units (about 95.03)



The radius is half of the diameter, so 5 1/2 in this case.

The area of a circle is πr^2, where r is the radius.

This means that the area of the circle is π * 5.5^2. Simplify to get π * 30.25, or 30.25π square units.



Please consider marking this answer as Brainliest to help me advance.

Area of circle = [tex]\pi[/tex][tex]r^{2}[/tex]

First, we can put in our values. For now, we can leave [tex]\pi[/tex] alone.

Our radius is 5.5 so we have to square it which gives us a product of 30.25

then, we can multiply our radius squared by [tex]\pi[/tex] and we get

Area, A = 95.033177771091 [tex]in^{2}[/tex]

Please help me solve number 19

Answers

Answer:

A x < 1/2

Step-by-step explanation:

4x-14x > -5

Combine like terms

-10x > -5

Divide by -10.  Remember to flip the inequality since we are dividing by a negative

-10x/-10 < -5/-10

x < 1/2

NEED HELP ASAP WILL MARK BRAINLIEST
MUST SHOW WORK IN ORDER TO GET BRAINLIEST!!!!



the angle of elevation from mindy to a cell phone tower is 75. if mindy is standing 28 feet from the base of the tower, find the height of the tower


A) 104.5 ft

B) 105.8 ft

C) 106.1 ft

D) 107.4 ft

E) 108.9 ft

Answers

It is 104.5

Please mark me the Brainliest answer! Hope this helps. Hugs.

Final answer:

Using the tangent function with the given angle of elevation and distance to the tower, we can calculate that the height of the tower is approximately 106.1 feet, which is answer C.

Explanation:

This is a question about trigonometry, specifically using tangent ratios. Given that the angle of elevation from Mindy to the top of the cell phone tower is 75 degrees and Mindy is standing 28 feet from the base of the tower, we need to find the height of the tower. The tangent of an angle in a right triangle is defined as the opposite side (the height of the tower in this case) divided by the adjacent side (the distance from Mindy to the tower).

Using the tangent function gives us: Tan(75) = height / 28. Multiplying both sides by 28 gives us the height: height = 28*Tan(75). Calculating this gives us the height of the tower, which is approximately 106.1 feet, therefore Option C is correct.

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Solve for x.

x = ___

Answers

Answer:

Solve y=x^2+2 for x.A.B.C.D

Step-by-step explanation:

sorry lamo

What is a proportional relationship and how do you find it?

Answers

Answer:  A proportional relationship is one in which two quantities vary directly with each other.  To Decide whether two quantities are in a proportional relationship, is by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

For Example, 2 × 2 = 4 , and 4 ÷ 2 = 2 ← which is an example of Proportional relationships.

* Hopefully this helps:) Mark me the brainliest:)☺️

could some body help me will mark brainliest thanks :)

Answers

Answer:

30 degrees!

Step-by-step explanation:

30 degrees

It is a 90 degree angle so you subtract the 60 from 90 and get 30

Help me with this please

Answers

Hello!

The answer is:

[tex]cos(R)=\frac{1}{2}[/tex]

Why?

Since it's a right triangle and we need to know the adjacent side of the triangle, in order to find cos(R), we can use the Pythagorean Theorem.

Pythagorean Theorem formula:

[tex]c^{2}=a^{2} +b^{2}[/tex]

Where:

[tex]c=hypotenuse=20\\a=FirstTriangleSide=AdjacentSide\\b=SecondTriangleSide=OppositeSide=10\sqrt{3}[/tex]

So, the adjacent side will be:

[tex]AdjacentSide=\sqrt{c^{2}-b^{2}}=\sqrt{20^{2}-(10\sqrt{3})^{2}}=\sqrt{400-100*3} \\AdjacentSide=\sqrt{100}=10[/tex]

Now, that we know the adjacent side, we can calculate cos(R), so:

[tex]cos(R)=\frac{AdjacentSide}{Hypotenuse}=\frac{10}{20}=\frac{1}{2}[/tex]

Have a nice day!

Answer:

cosine∠R = 1/2

Step-by-step explanation:

We have to find the figure of triangle.

We have to find the cosine∠R.

First we find the base of triangle.

We have formula: Hypotenuse² = Base² + perpendicular²

Hypotenuse = 20

Base= ?

perpendicular = 10√3

Applying formula we get,

Base = √20² - (10√3)²

base = 10

As we know that :

cosФ = base/hypotenuse

cosine∠R = 10/20

cosine∠R = 1/2 is the result.

What is the length of segment CD question mark

CD = two square root of 10 end square root

CD = 6

CD = 8

CD = 40

Answers

Answer:

CD = two square root of 10 end square root

Step-by-step explanation:

To find the length of a segment, use the distance formula. Substitute the order pairs for the endpoints of the segment. CD has the end points (-7, -4) and (-1, -2).

[tex]d = \sqrt{(y_2-y_1)^2 + (x_2-x_1)^2} \\\\d = \sqrt{(-4--2)^2 + (-7--1)^2} \\\\d = \sqrt{-2^2 + -6^2}\\\\d = \sqrt{4 + 36}\\\\d=\sqrt {40} = 2\sqrt{10}[/tex]

To find the length of segment CD, use the distance formula:
[tex]\[d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.\][/tex] For CD with endpoints (-7, -4) and (-1, -2),
[tex]\[d = \sqrt{40} = 2\sqrt{10}.\][/tex]

To determine the length of a segment, utilize the distance formula by substituting the coordinates of the endpoints. In the case of segment CD, the endpoints are (-7, -4) and (-1, -2).

To determine the length of a segment, the distance formula is applied, denoted as:

[tex]\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \][/tex]

For segment CD with endpoints (-7, -4) and (-1, -2), the distance is computed as follows:

[tex]\[ d = \sqrt{(-1 - (-7))^2 + (-2 - (-4))^2} \][/tex]

This simplifies to:

[tex]\[ d = \sqrt{(6)^2 + (2)^2} \][/tex]

[tex]\[ d = \sqrt{36 + 4} \][/tex]

[tex]\[ d = \sqrt{40} \][/tex]

Hence, the length of segment CD is [tex]\(\sqrt{40}\)[/tex] units. This result can be further expressed as [tex]\(2 \sqrt{10}\)[/tex] by factoring out the square of the largest perfect square, which is 4, from 40. Therefore, the exact length of segment CD is [tex]\(2 \sqrt{10}\)[/tex] units.

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Florence has a health insurance policy with a $1,500 deductable and 4% co-pay on the next $10,000. What would most likely increase her premium?

A. increasing the co-pay to 5%
B. decreasing the co-pay to 2%
C. increasing the deductible to $2,500
D. adding fixed co-pays for doctors' visits

Answers

The answer is D I believe fixed copays
D is the right answer

What is 20% out of 10

Answers

Answer:

2

Step-by-step explanation:

Well it’s like, 20 percent of 100% percent it will always be two. I hope you understand am very hard at explaining

Answer:

2

Step-by-step explanation:

a racing bicycle with a cash price of 900 at at 90 down down and 40.50 per month for 24 months ​

Answers

Answer:

1062 for 24 monthly payments plus 90$ down payment

Step-by-step explanation:

90+40.50x               x=24 months

40.5 x 24 = 972

+90

------------------------

1062

Write the expression as a single natural logarithm.3In3+3Inc

Answers

Answer:

[tex]ln(27c^3)[/tex]

Step-by-step explanation:

Given: [tex]3ln(3)+3ln(c)[/tex]

If there is a coefficient in front of a [tex]log[/tex] or [tex]ln[/tex], that means it becomes an exponent.

[tex]ln(3^3)+ln(c^3)[/tex]

Simplify the exponent.

[tex]ln(27)+ln(c^3)[/tex]

When there is addition between two logarithms or natural logarithms, it means they multiply together.

[tex]ln(27c^3)[/tex]

Answer:

[tex] \ln 27c^3 [/tex]

Step-by-step explanation:

[tex] = 3\ln 3 + 3\ln c [/tex]

[tex] = \ln 3^3 + \ln c^3 [/tex]

[tex] = \ln 3^3c^3 [/tex]

[tex] = \ln 27c^3 [/tex]

The second step in solving 1/3n- 7/12 is to divide both sides of the equation by 1/3.
True Or false?

Answers

that is true if that's 1/3n=7/12

if it's 1/3n-7/12 then the first step is to equal it to zero

Yes, the second step in solving 1/3n = 7/12 is to divide both sides of the equation by 1/3.

What is a expression? What is a mathematical equation? What is Equation Modelling? What is denominator?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.

We have the equation -

(1/3)n = (7/12)

We have -

(1/3)n = (7/12)

Dividing both sides by (1/3), we get -

[(1/3)/(1/3)]n = [7/12 x 3]

n = 7/4

Therefore, yes, the second step in solving 1/3n = 7/12 is to divide both sides of the equation by 1/3.

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If you were asked to solve a system of linear equations using the substitution method, in what form would one or both of the equations start as that would make the problem the simplest?

Select one:

Answers

Answer:

It'd be easist if one of  the variables was by itself

Step-by-step explanation:

I.E: y=2x+4 and 2y+x=23

find the zeros of f(x)=x^2+2x-8

Answers

Answer:

(x - 2) (x +4)

Step-by-step explanation:

Find what two numbers multiplied make -8 and those same numbers will equal 2 when they are subtracted. So...

4 x -2 = 8

4 - 2 = 2

So, (x - 2) (x + 4)

Answer:

(2,-4)

Step-by-step explanation:

what is the equation of the line that passes through (1,2) and is parallel to the line whose equation is 4x+y-1=0?

1. 4x-y-6=0
2. 4x+y-6=0
3. 4x+y+6=0​

Answers

the answer would 4x+y+6=0

Answer:It is very easy to work out, you just have to put them into slope-intercept form which is y=mx+b

Step-by-step explanation:

is 25% of a whole always the same amount ?

Answers

Answer:

Not, will be the same proportion but the amount vary depending the specific case.

Best regards

Yes its always the same amount because is you take away the percentage it is still 25 and if you add a -0.25 its still 25 because 0.25 = 25 and you can always put the percentage back ;25%

can you classify types of quadrilaterals and triangles if u know details about their sides and angles?​

Answers

Answer:

yes

Step-by-step explanation:

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