Triple a number decreased by 25 is equivalent to five less than half the same number.
The number is??

Answers

Answer 1

The unknown number is 8.

Let the unknown number be x.

According to the given question.

We have a phrase "Triple a number decreased by 25 is equivalent to five less than half the same number".

Therefore, the equation for the phrase "Triple a number decreased by 25 is equivalent to five less than half the same number" is given by

3x - 25 = x/2 - 5

To find the unknown number we have to solve the above equation for x.

Therefore,

3x - 25 = x - 10/2

⇒ 6x - 50 = x - 10

⇒ 6x - x = -10 + 50

⇒ 5x = 40

⇒ x = 40/5

⇒ x = 8

Hence, the unknown number is 8.

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Related Questions


The school band will sell pizzas to raise money for new uniforms. The supplier charges $100
plus $4 per pizza. The band members sell the pizzas for a 50% upcharge. How many pizzas will
the band need to sell to make a profit?

Answers

Answer:

35

Step-by-step explanation:

solve for the area and perimeter of the swan show all work and include equations?

Answers

Answer:

Step-by-step explanation:

where is the swan?

Solve the compound inequality 6b < 36 or 2b + 12 > 6

A. b < 6 or b > 6
B. b < 6 or b > 3
C. b > 6 or b < −3
D. b < 6 or b > −3

Answers

Answer:

D.)

Step-by-step explanation:

Three blocks are shown:
Block A
7 cm
3 kg
1 cm
3 cm
Which statement is correct?
Block B
7 cm
4 kg
111 cm
3 cm
Block C
1 cm
2 kg
7 cm
3 cm

Answers

Answer:the answer is 4 kg

Step-by-step explanation:

i can¡ explane u i see the rpta

1. Find the area of the triangle below.
5.6 m
9.9 m
4.4 m
7.8 m
A. 17.16 m²
B.
19.42 m²
C.
21.78 m²
D.
24.52 m²

Answers

Answer:

21.78 m^2

Step-by-step explanation:

9.9 x 4.4 / 2 = 21.78 m^2

write 26/50 as a decimal fraction​

Answers

Answer:

13/25

Step-by-step explanation:

hope this helps :)

Does the fugue below appear to have line symmetry if so how many lines of symmetry

Answers

Answer:

It has 1 line off symmetry.

Step-by-step explanation:

it has one straight from the top point all the way down.

A person's grade in school is generally identified by a number. give an example of a situation in which grade level is treated as categorical.

Answers

The grade level is treated as categorical when a principal wants to know the number of students from each grade will be participating in a performance.

Variables can be classified into quantitative and categorical. Quantitative variables are those which carry numerical values. Even though a person's grade in school is generally identified by a number, it is a categorical variable. Categorical variables classify data into different groups as the grade level. The grade level categorizes students into different grades and each grade level represents a particular grade only.

Any variable which is partly qualitative and represents groups of data are called categorical variables. Also grade level is ordinal. An example of a situation in which grade level is treated as categorical is when a principal wants to know how many students from each grade will be participating in a performance. Other examples of categorical variables are race, gender, age group, etc.

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Monica has a goal to complete a triathlon. The race consists of a 2.4-mile swim, a 112-mile bike ride, and a 26.2-mile run. In training, Monica can swim at an average pace of 1.8mph. She rides her bike at an average of 19.2mph and runs at 4.8mph. Estimate how long it will take her to complete the triathlon.

Answers

Taking into account the definition of speed, Monica will complete the triathlon in 12.62 hours.

Definition of speed

Speed can be defined as the amount of space traveled per unit of time with which a body moves and can be calculated using the expression:

speed= distance traveled÷ time

Time to complete the triathlon

In this case, you know

Swim:speed= 1.8 mphdistance traveled= 2.4 milesRide a bikespeed= 19.2 mphdistance traveled= 112 milesRun:speed= 4.8 mphdistance traveled= 26.2 miles

Replacing these values ​​in the speed definition:

Swim: 1.8 mph= 2.4 miles÷ time to swimRide a bike: 19.2 mph= 112 miles÷ time to ride a bikeRun: 4.8 mph= 26.2 miles÷ time to run

Solving:

Swim: 1.8 mph×time to swim= 2.4 miles

time to swim= 2.4 miles÷ 1.8 mph

time to swim= 1.33 h

Ride a bike: 19.2 mph× time to ride a bike = 112 miles

time to ride a bike= 112 miles÷ 19.2 mph

time to ride a bike=5.83 h

Run: 4.8 mph× time to run= 26.2 miles

time tu run= 26.2 miles÷ 4.8 mph

time to run= 5.46 h

The time to complete the triathlon is the sum of each of the stages:

Total time= time to swim + time to ride a bike + time to run

Total time= 1.33 h + 5.83 h + 5.46 h

Total time= 12.62 h

In summary, Monica will complete the triathlon in 12.62 hours.

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Which of the following are solutions to the equation below?
Check all that apply.
(4x-1)² = 11
A. x = -√12/4
B. x=-√11+1/4
C. x=√11+1/4
D. x=-√11+1/4
E. x=√12/4
F. x=√11+1/4​

Answers

Answer:

A.

B.✅

C.✅

D.✅

E.

F.✅

Step-by-step explanation:

[tex](4x-1)² = 11 \\ 4x-1 = \sqrt{11 } \\ 4x = \sqrt{11} + 1 \\ x = \frac{ \sqrt{11} + 1 }{4} [/tex]

twice the larger of two consecutive integers is equal to fifteen less than three times the smaller

Answers

The larger of the two integers is 18 and the smaller integer is 17.

Integers are collection of whole numbers and negative numbers. Integers are not fractional numbers or decimal. Some examples of integers are -5,-25,0,13,9 .

Let us consider the smaller integer be x.

As the integers are consecutive, the larger integer is (x+1).

Now according to the given condition:

Twice the large integer=2(x+1)

15 less than the 3 times the smaller integer=3x-15

Now the value of these two expressions is equal.

Therefore: [tex]2(x+1)=3x+-15[/tex]

Solving the above equation to find the value of x:

[tex]or,2(x+1)=3x-15\\or,2x+2=3x-15\\or,2x-3x=-15-2\\or,-x=-17\\or,x=17[/tex]

Therefore the smaller integer is 17.

Larger integer(x+1) : 17+1=18

Therefore the integers are 17 and 18.

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An internet service provider is implementing a new program based on the number of connected devices in each household. Currently, customers are charged a flat rate of $175 per month. The new plan would charge a flat rate of $94 plus an additional $4.50 per device connected to the network. Find the number of devices, x, for which the cost of the new plan is less than the cost of the current plan

Answers

The device numbers should be less than 18.

Given, internet service provider is charging a rate of $175 per month.

The new plan would charge $94 plus an additional $4.50 per device connected to the network.

we need to find the number of devices for which the cost of the new plan is less than the cost of the current plan.

old plan = $175

New plan = $94 plus $4.50 per device

let us suppose 'x' devices can be connected.

so, 94 ₊ 4.5x < 175

4.5x < 175 ₋ 94

4.5x < 81

x < 81/4.5

x < 18

less than 18.

Hence there should be less than 18 devices connected for the new plan.

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3-1¹-2
Convert 4 to an improper fraction?
000
12/4
4/13
4/12
13/4

Answers

Answer:

13/4

Step-by-step explanation:

_______________________________

Round 7.487 to the nearest hundredth.

Answers

Answer: 7.49

Step-by-step explanation:

7 is above 5, so we round up from .48 to .49.

7.500 87 is close to 500 then 400
So the nearest hundred is 7.500

You reflect the triangle below over the x-axis.

Answers

Answer:

(-5,3)

Step-by-step explanation:

That's the coordinates of it being reflected over X axis for point P.

PLEASE HELP ME!
WILL GIVE BRAINLIEST!

Answers

The answer is 1 x 10^-6. I hope this helps!!

2. Use what you know about the properties of operations to rewrite the expression 7.4.1.5 = commutative​

Answers

Natural number multiplication is commutative.

What are the properties of operations?Whole numbers can be multiplied together commutatively.Whole number multiplication is associative.Whole number division distributes over addition.The identity for multiplying whole numbers is 1, or 1.

According to the commutative property, altering the order of the elements has no impact on the final result. Commutative's fundamental term is commute or exchange.

According to the associative property, altering how the elements are grouped has no impact on the final output. Because humans frequently rearrange the groupings of elements while multiplying numbers to simplify issues, this characteristic strongly relates to the commutative property.

We can basically spread out the elements thanks to the distributive principle, making it simpler to work with the numbers. When multiplying mentally, this is a common technique.

Although multiplication properties might appear difficult, our students can surely master them with scaffolded help.

The given number is commutative as -

7.4.1.5 = 5.1.4.7

The answer will always be same irrespective of the order in which it is multiplied

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Answers

Suspend kaisk Jussie s
Hey, how’s it going

Durante un entrenamiento, un ciclista da una vuelta a una pista circular en 105 segundos, mientras que otro tarda 60 segundos. Si ambos inician sus recorridos juntos, ¿en cuántos segundos será la próxima vez que coincidan en el punto de inicio?

Answers

Los ciclistas se encuentran aproximadamente 140 segundos después de partir.

¿En cuanto tiempo se encuentran dos ciclistas que se mueve a distintas rapideces constantes por primera vez?

En este problema asumimos que cada ciclista se mueve a rapidez constante, de modo que la rapidez angular de cada uno se define como sigue:

ω = 2π / T         (1)

Donde:

ω - Rapidez angular, en radianes por segundo.T - Período, en segundos.

A su vez, la posición de cada ciclista es descrita por las siguientes dos ecuaciones paramétricas:

x / R = cos ωt   (2)

y / R = sin ωt    (3)

Donde:

x, y - Coordenadas del ciclista.R - Radio de la pista circular.

Primero, determinar la rapidez angular de cada ciclista:

ω₁ = 2π / 105 s

ω₁ ≈ 0.060 rad / s

ω₂ = 2π / 60 s

ω₂ ≈ 0.105 rad / s

Segundo, procedemos a graficar cada función paramétrica y determinamos el primer punto de intersección. Los resultados se encuentran en las imágenes adjuntas. Nótese que las curvas verde y púrpura se basan en la ecuación (2), mientras las curvas azul y rojo lo son de la ecuación (3).

Los dos ciclistas se encuentran por primera vez si las cuatro ecuaciones tienen el mismo valor t. En consecuencia, los ciclistas se encuentran aproximadamente 140 segundos después de partir.

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True/False: Perimeter is the number of squares you can fit inside of any shape?

O True

O False

Answers

False. The perimeter is around a shape not inside. Inside a shape would be area. :)

NEED HELP THANK YOU !!

What is the distance of coordinates (8,4)(-3,4)?

Answers

Answer:

Mark them in a gtaph paper.

Step-by-step explanation:

Tke a graph paper and draw the x and y axis in the middle of the graph.

If u hv learned coordinates mark the points and count the boxes in between.

That will be ur answer

Thank me later

Distance=11 Step-by-step explanation:


Write the equation of the line in slope-intercept form.
It has a coefficient of m = -1 and passes through the point (9, 4).

Answers

Answer:

y=-x+13

Step-by-step explanation:

m=-1

m is slope

point is (9, 4)

first use point slope equation

y-y1=m(x-x1)

y-9=-1(x-4)

distribute

y-9=-x+4

isolate the y variable

y=-x+13

When dividing 5 by 4, is a answer a rational number explain

Answers

Dividing the number 5 by 4 gives a rational number 5/4.

What is defined as the rational numbers?

The word 'rational' comes from the word 'ratio.'

As a result, rational numbers are attributable to the concept of fractions, which represent ratios. In other words, a rational number can be represented as a fraction in which both the numerator and denominator are integers.Rational numbers also include integers, whole numbers, natural numbers, or fractions with integers.If a number's decimal form is terminating or recurring, as in 5.6 or 2.141414, we know it is a rational number.Irrational numbers are those in which the decimals appear to be never-ending or non-recurring.

For the given expression;

When 5 is divided by the number 4, 4 will not completely divide the number 5 as 5 is not the multiple of 4.

Thus, dividing 5 by 4 gives the rational number 5/4.

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What is the price of a perpetuity that has a coupon of $55 per year and a yield to maturity of 2.5%? the price of the perpetuity is $?

Answers

The price of the perpetuity is $2200

What is price of the perpetuity?

The present value of a perpetuity is determined by simply dividing the amount of the regular cash flows by the discount rate. A growing perpetuity includes a growth rate that increases the cash flows received each period going forward.

Given:

coupon=$55

yield to maturity=2.5%

As, we know price of the perpetuity is determined by dividing the coupon by the yield to maturity.

So,

price=coupon/yield to maturity

price=$55/2.5%

price=$2200

Hence, the price of the perpetuity is $2200

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6y [tex]\geq[/tex] 30

Answers

Answer:

y ≥ 5

Step-by-step explanation:

[tex]\frac{6y}{6}\ge \frac{30}{6}\\\frac{30}{6} = 5\\y \ge 5[/tex]

Hope this helps.

what property is illustrated by the statement 2/3 x 3/2 =1

Answers

Answer:

Multiplicative inverse or reciprocal.

Step-by-step explanation:

Multiplicative inverse or reciprocal.

HELPPPP PLS EXPLAIN
PLS HELPPP

Answers

First one im sure I just got the question

Answer:  First graph

Step-by-step explanation:

We first rewrite the equation in slope-intercept form y = ax + b, where a is the slope and b is the y-intercept(where x is equal to 0).

24x + 64y = 384

         64y = -24x + 384

             y =  [tex]-\frac{24}{64}[/tex]x + 6

The y-intercept for this graph is equal to 6. Only the first graph satisfied the slope of the linear equation that we are looking for. In the first graph, when x was equal to 0, y was equal to 6.

Shareholders in an electronics company were informed that the company's market share increased from 4.5% to 5.4%, a rise of 0.9 percentage points. What percent increase in sales does this represent?

Answers

If shareholders in an electronics company were informed that the company's market share increased from 4.5% to 5.4%, a rise of 0.9 percentage points. The percent increase in sales that this represent is: 20%.

Percentage increase

Using this formula

Percentage increase= Percentage increase in share price / Initial percentage x 100%

Let plug in the formula

Percentage increase= 0.9% / 4.5% x 100%

Percentage increase=20%

Therefore If shareholders in an electronics company were informed that the company's market share increased from 4.5% to 5.4%, a rise of 0.9 percentage points. The percent increase in sales that this represent is: 20%.

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The area of an animal pen is 30 square feet. what are the legnths of the pen's sides if the pen has each given shape?

Answers

L = 1.3245 is  the legnths of the pen's sides .

What is area and perimeter?

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

The equation for perimeter is 2L + W = 30 ( I'm assuming that the shed takes up one of the Widths, but you can use the Length if you want, it doesn't matter.)

So W = 30 - 2L.

Area = L x W = L (30 - 2L) = 30L - 2L^2.

This is a quadratic equation, easily graphed as a parabola, with a maximum point at L = 1.3245 .

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What is the slope of the line that passes through the points(−4,2) and (−5,0)?

Answers

Step-by-step explanation:

the slope is (y coordinate change / x coordinate change) when going from one point on the line to another.

the direction does not matter, but it is essential that once a direction is picked for one coordinate, we use the same one then also for the other.

I prefer to go from left to right, so (-5, 0) to (-4, 2) :

x changes by +1 (from -5 to -4).

y changes by +2 (from 0 to 2).

so, the slope is +2/+1 = 2/1 = 2.

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