A broken scale shows a false weight that is always higher than the actual weight by
the same number of grams. When a mobile phone is put on the scale, it shows 202
grams. When an headphone is put on the scale, it shows 221 grams. When the mobile
phone and the headphone are put on the scale together, it shows 415 grams. What is
the actual weight of the mobile phone in grams?

Answers

Answer 1

The actual weight of the mobile in grams is 194 grams.

What is Equation?

In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

As broken scale shows a false weight that is always higher than the actual weight by the same number of grams.

When a mobile phone is put on the scale, the real weight will be  'x'

but it shows,

x+a= 202

When an headphone is put on the scale, the real weight will be  'y'

but it shows,

y+a=221

When the mobile phone and the headphone are put on the scale together, the weight is

x+y+a= 415

So,

x+221=415   [Since y+a= 221 grams]

x= 194 grams

The actual weight of the mobile phone in grams is 194 grams.

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Related Questions

Wyatt has a loyalty card good for a discount at his local hardware store. To find the
total he has to pay, before tax, he multiplies the prices by 0.8. What percent discount
does the card give?

Answers

Answer:

80%

Step-by-step explanation:

You multiple .8 by 100 to find percentage, giving you 80%.

Answer:

i don’t know

Step-by-step explanation:

I don’t know

a magnifying glass makes objects appear 2.54 times largers than their actual size. How large does a 6-millimeter seed appear in the magnifying glass

Answers

Answer:

15.24 millimeters

Step-by-step explanation:

6 * 2.54 = 15.24 mm.

Answer: should be 15.24

Step-by-step explanation: quick maths

ok im super confused bc like it ask me put i dont know what to put.............pls help me

Answers

Answer:

u drag the green dot thing over to the coordinate (6,8)

Step-by-step explanation:

i put a black dot where i think ur supposed to drag the green dot to

OC is perpendicular to AB. What is the length of AB?

A. 8.8 units
B. 4.4 units
C. 13.2 units
D. 2.2 units

Answers

Answer:

A.8.8 units

Step-by-step explanation:

Answer:

The correct answer is 8.8 units

Step-by-step explanation:

I just got it correct.

Group the terms with variables on one side of the equal sign, and simplify.
8t −15 = 32t

Answers

Answer:

[tex] \implies \boxed{\rm t = \frac{ - 5}{8} }[/tex]

Step-by-step explanation:

8t-15=32t

Group the terms then subtract:

=>8t-32t=15

=>-24t=15

Divide both sides by -24:

[tex] \implies \rm \cfrac{ - 24t}{ - 24} = \cfrac{15}{ - 24} [/tex]

[tex] \rm \implies \: t = \cfrac{ - 5}{8} [/tex]

25
24.
What is the value of x?
(4x + 1)
F 9.5
G 18
(2x - 19)
H 33
J 81

Answers

Answer:

33 degrees

Step-by-step explanation:

(4x+1) and (2x-19) add up to 180 degrees

[tex](4x+1)+(2x-19)=180\\6x-18=180\\6x=198\\x=33[/tex]

what is the volume of a cone with a diameter of 30 feet and height of 60 feet? use 3.14 for pi. enter your answer in the box

Answers

Answer:

volume = 14,137

Step-by-step explanation:

radius is the diameter divided by 2

30÷2=15

radius = 15 then square

15^2 = 225

formula of volume of a cone is 1/3*pi*raduis^2*the height

1/3(3.14)(225)(60)= 14,137

The volume of a cone with a diameter of 30 feet and a height of 60 feet is 14130.

What is the volume of a cone?

The volume of the cone is given by;

[tex]\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\Where;\ r = radius \ and \ h = height[/tex]

The volume of a cone with a diameter of 30 feet and a height of 60 feet.

The radius of the cone is;

[tex]\rm Radius =\dfrac{Diameter}{2}\\\\Radius=\dfrac{30}{2}\\\\Radius=15[/tex]

Substitute all the values in the formula

[tex]\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\ Volume \ of \ cone=\dfrac{1}{3}\times 3.14 \times 15^2 \times 60\\\\Volume \ of \ cone=14130[/tex]

Hence, the volume of a cone with a diameter of 30 feet and height of 60 feet is 14130.

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The table below represents a breakdown of food costs for Eddie, a traveling
salesman. How much did he spend in total for food on Tuesday?
Mon.
Tue.
Wed.
Thurs.
Fri.
Breakfast $7.88
$12.02
$9.64
$6.98
$13.30
Lunch
$13.41
$11.79
$14.55
$16.09
$10.76
Dinner
$18.80
$22.13
$20.79
$24.82
$16.74
OA. $40.09
OB. $42.56
OC. $41.23
OD. $45.94
SURMIT

Answers

The total amount of money that was spent on lunch on Tuesday is $45.94.

What is the total amount spent on food?

The total amount that was spent on food on Tuesday can be determined by adding the amount spent on breakfast, lunch and dinner. Addition is the mathematical operation that is used to determine the sum of two or more numbers.

Total amount spent = 22.13 + 12.02 + 11.79 = $45.94

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find the height of a right circular cone if the slant height is 4 units and the radius is 2 units

Answers

The slant height of the right circular cone will be  [tex]l=2\sqrt5}[/tex]

What is slant height of cone?

The formula for the slant height of the cone is given as:

[tex]l^2=r^2+h^2[/tex]

Here we have

r=2 units

h=4 units

By putting the values we will get

[tex]l=\sqrt{4^2+2^2[/tex]

[tex]l=\sqrt{16+4[/tex]

[tex]l=\sqrt{20}[/tex]

[tex]l=2\sqrt{5}[/tex]

Hence the slant height of the right circular cone will be  [tex]l=2\sqrt5}[/tex]

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Find the length of the segment that joins the points (-5,2) and (4,-3).

Answers

Answer:

10.2956

Step-by-step explanation:

formula:

d = √((x2-x1)2 + (y2-y1)2)

(x1, y2) and (x2, y2)

 (-5,2) and (4,-3).

Find the difference between coordinates:

(x2-x1) = (4 - -5) = 9

(y2-y1) = (-3 - 2) = -5

Square the results and sum them up:

(9)2 + (-5)2 = 81 + 25 = 106

Now Find the square root and that's your result:

Exact solution: √106 = √106

Approximate solution: 10.2956

find the quantities of 18% of 50​

Answers

Answer:

9

Step-by-step explanation:

18%of 50

18/100×50

0.18×50= 9

Answer:

9

Step-by-step explanation:

18% of 50

We can rewrite it as,

% = 1/100of = *(into)

> 18/100 * 50

Solving,

18/100 * 5018/10 * 518/29

Hence,18% of 50 = 9

This is a substitution problem


Julianna has thirty two pieces of candy in a candy jar. Julianna only has two kinds of candy,
jolly rangers and twix. For every four twix bars, she has two pieces of jolly rangers. How many
pieces of each candy are in the candy jar?

Answers

a. The number of twix bars is 21

b. The number of jolly rangers is 11.

Julianna has thirty two pieces of candy and has four twix bars for every two jolly rangers, we need to find the ratio of candy bars.

What is the ratio of candy bars?

Let

x = number of twix bars and y = number of jolly rangers.

Since for every four twix bars, she has two pieces of jolly rangers, the ratio of candy bars is

x:y = 4:2 = 2:1

a. Number of twix bars

The number of twix bars is 21

The number of twix bars x = ratio of twix bars/total ratio × total number of candy bars

So, x = 2/(1 + 2) × 32

= 2/3 × 32

= 64/3

= 21.33

≅ 21

So, the number of twix bars is 21

b. Number of jolly rangers

The number of jolly rangers is 11.

The number of jolly rangers y = ratio of jolly rangers/total ratio × total number of candy bars

So, y = 1/(1 + 2) × 32

= 1/3 × 32

= 32/3

= 10.66

≅ 11

So, the number of jolly rangers is 11.

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Leah bought a bicycle for $118 that was originally priced at $472. What is the discount
percentage?
Write your answer using a percent sign (%).

Answers

Answer:

75%

Step-by-step explanation:

the discount percentage :

[tex]\frac{472-118}{472} \times100 = 75 \%[/tex]

Given:Bought price= $118Original price= $472To find:

The percentage decrease ( discount percentage ).

Solution:

[tex]\large\boxed{\sf{formula = 100 \times \frac{(final - initial)}{initial} }}[/tex]

We'll have to subtract 472 ( initial value ) from 118 ( final value).

[tex]472 - 118[/tex]

[tex] = 354[/tex]

Now, we'll have to divide 354 ( difference ) by 118 ( initial value ) and multiply by 100.

[tex] 100 \times \frac{354}{118} [/tex]

[tex]\large\boxed{\sf{ = 75\% }}[/tex]

Hence, the discount percentage is 75.


Find the missing value (x)

Answers

Answer:

y=14; x=72

Step-by-step explanation:

y=(21×2)/3; x=(48×21)/14

I need help(!) I appreciate a good explanation so I can understand it too (!)

Answers

The ranges values of the function f(x) are: {-89,-9,7} - Option D.

Domain and Range

The domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined.

While the domain is related to the values ​​of x, the range is related to the possible values ​​of y that the function can have.

Here, you need to replace the domain values in the given equation.

f(x)=-2x²+9

For x=-3

       f(x)=-2*(-3)²+9

        f(x)=-2*9+9

       f(x)=-18+9=-9

For x=1f(x)=-2*(1)²+9f(x)=-2*1+9f(x)=-2+9=7

For x=7f(x)=-2*(7)²+9f(x)=-2*49+9f(x)=-98+9=-89

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Arturo is
putting 18 erasers into equal rows. He
says there will be more erasers in 2 equal
rows than in 3 equal rows Is Arturo
correct?

Answers

Answer:

Yes

Step-by-step explanation:

When there are 2 rows

Number of erasers per row =  No. of erasers / No. of rowsNumber of erasers per row = 18/2Number of erasers per row = 9

When there are 3 rows

Number of erasers per row =  No. of erasers / No. of rowsNumber of erasers per row = 18/3Number of erasers per row = 6

Therefore, there will be more erasers per row in 2 equal rows than in 3 equal rows.

Round 7.09 to the nearest tenth

Answers

7.09 to the nearest tenth is 7.1

Answer:

7.1

Step-by-step explanation:

To round 7.09 to the nearest tenth, you must use the hundredths' place value of 7.09, which is 9 and equal or more than 5. Therefore, the tenths value of 7.09 increases by 1 to 7.1.

plssssssssss help meeeeeeeeeeeeeeeee

Answers

Answer:

The A graph applies to the first and fourth statement

The B graph applies to the second and third statement

The number of ducks in a pond increasing is a 100% bar with an extra 40% added to it (looks like graph A from the previous question)

The number of mosquitos decreasing by 80% is a bar within the already existing 100% (looks like graph B from the previous question)

Step-by-step explanation:

none further needed

A prism is completely filled with 270 cubes that have edge length of 1/3in.

what is the volume of the prism?

Answers

If the volume of the cube is 1/27 cubic inches. Then the volume of the prism will be 10 cubic inches.

What is a rectangular prism?

A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.

A prism is completely filled with 270 cubes that have an edge length of 1/3in.

Then the volume of the prism will be given as

Volume of prism = 270 (volume of the cube)

Then the volume of the cube will be

Volume of cube = (edge)³

Volume of cube = (1/3)³

Volume of cube = 1/27 cubic inches

Then the volume of the prism will be

Volume of prism = 270 × (1/27)

Volume of prism = 10 cubic inches

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What is the probability that a person who is above 35 years old has a hemoglobin level of 9 or above? a. 0.357 b. 0.313 c. 0.531 d. 0.343 e. 0.432

Answers

Using it's concept, it is found that the probability that a person who is above 35 years old has a hemoglobin level of 9 or above is of 0.247.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching the problem on the internet, we find a table, which says that there are 162 participants above 35 years old, and 40 have hemoglobin levels of 9 and above, hence the probability is given by:

p = 40/162 = 0.247.

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Answer:

Actually, its option C when the hemoglobin level is of 9 or above

Step-by-step explanation:

C. 0.531

Write an equation for the translation of y=6/x that has the asymptotes x = 4 and y = 5

Answers

Answer:

[tex]\displaystyle y=\frac{30x}{6(x-4)}[/tex]

Step-by-step explanation:

Keep in mind that a rational function with a vertical asymptote at [tex]x=4[/tex] means the denominator must be 0 when [tex]x=4[/tex] is plugged in.

This means we have [tex]\displaystyle y=\frac{6}{x-4}[/tex] so far.

To account for the horizontal asymptote at [tex]y=5[/tex], we need to adjust the numerator and denominator so that they are the same degree and that the leading coefficients have a ratio of 5. We can do this by multiplying the numerator by 5x and the denominator by 6.

This leaves us with [tex]\displaystyle y=\frac{30x}{6(x-4)}[/tex] as the translated equation since the end behavior of the function is [tex]\displaystyle y=\frac{30x}{6x}=5[/tex]. See attached graph.

What is the value of y?

2
5
7
8

Answers

i’m
confused by your question

HELPPPPPPP! DUE TOMORROW

Answers

Answer: Check the step by step

Step-by-step explanation:

Measure of <2 = 37.3 because opposite sides of a line are congruent. To find < 1, you have to add that plus <2 ( 37.3 ) to equal 180. 180 -37.3 = 142.7

For <3, it is also gonna be 142.7 ( as said before, opposite sides are congruent. ) and for <4, it is gonna be 79.4.  Hope this helps! If you have any other questions,  let me know! :D

Which is wrong? Question is below in link.

Answers

In simplifying the given expression, the error made was in Step 4. 7c - 41 is wrong. The correct answer should be -c - 59.

How to Simplify Expressions?

In simplifying expressions, like the one given, first apply the distributive property to clear out the bracket.

Next is to combine like terms. In step 4, there was an error in the calculation while combining like terms.

-6c - 3c + 10c should give us -c NOT 7c.

Also, 3 - 12 - 50 should give us -59 not -41.

Therefore, the correct answer should be:

-c - 59.

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I need help finding the slope and what m=

Answers

The slope is 4/5. You can use the method: y=mx+b
The answer is M= -4/5

What is the range of f(x) = 3x + 9?

{y | y < 9}
{y | y > 9}
{y | y > 3}
{y | y < 3}

Answers

From the given options we can think that x is
in the exponent of 3.
So, the given function is actually f(x) = 3^x +9
Now, we need to find the range of given
function.
We can see that first term is and exponential
term 3^x and second term is 9
We know that 3^x will always be greater than
O.
Therefore, 3^x +9 would always be greater
than 9.
Therefore, range would be y>9.
So, the correct option is B) (y | y > 9}.

Find the area of the kite shown.
A) 20 cm²
C) 42 cm²
B) 40 cm²
D) 84 cm²

Answers

Answer:

A

Step-by-step explanation:

the area (A) of a kite is calculated as

A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ ( d₁ and d₂ are the diagonals )

here d₁ = 2 + 2 = 4 and d₂ = 3 + 7 = 10 , then

A = [tex]\frac{1}{2}[/tex] × 4 × 10 = 2 × 10 = 20 cm²

Answer:

A) 20 cm^2

Step-by-step explanation:

Area of a kite is the product of the 2 diagonals divided by 2.

= (4*10)/2

= 20

IF UR GOOD WITH MATHS THIS ONES FOR U SURELY HELP :) ILL BRAINLIST I PROMISE THIS IS SO DIFFICULT IM GONNA RAGE.

Answers

Answer:

[tex] d = sin(39) \times 30[/tex]

Find (a) the range and (b) the standard deviation of the data set 141,116,117,135,126,121. round to the nearest hundredth if necessary.

Answers

a) The range of the given data set is 25.

b) The standard deviation of the given data set is 10.1.

The given data set is 141, 116, 117, 135, 126, 121.

a) The range is the difference between the highest and lowest values within a set of numbers.

Range = Highest value - Lowest value

= 141-116

= 25

So, the range is 25.

b) Set up the formula for sample standard deviation. The standard deviation of a set of values is a measure of the spread of its values.

[tex]s=\sqrt{\frac{(x_i-\bar x)^2}{n-1} }[/tex]

Here, mean ([tex]\bar x[/tex]) = [tex]\frac{141+116+117+135+126+121}{6}[/tex]

= 126

[tex]s=\sqrt{\frac{(141-126)^2+(116-126)^2+(117-126)^2+(135-126)^2+(126-126)^2+(121-126)^2}{6-1}}[/tex]

[tex]s=\sqrt{\frac{(15^2+(-10)^2+(-9)^2+(9)^2+(0)^2+(-5)^2}{5}}[/tex]

[tex]s=\sqrt{\frac{(225+100+81+81+25)}{5}}[/tex]

[tex]s=\sqrt{\frac{512}{5}}[/tex]

s=10.1

So, the standard deviation is 10.1.

Therefore,

a) The range of the given data set is 25.

b) The standard deviation of the given data set is 10.1.

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Help please
5x-2y=-10

Answers

Answer:

[tex]5x - 2y = - 10 \\ 5x = - 10 + 2y \\ x = \frac{ - 10 + 2y}{5} \\ \\ [/tex]

when y=0,-5,5,-10,10

then x=-2,-4,0,-6,2

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