There are two numbers. The smaller number is 32 less than the larger number. If the larger number is increased by 10, it will be 4 times that of the smaller number. Find the larger number.

Answers

Answer 1

Step-by-step explanation:

Let the larger no be = a

Difference of the numbers = a - 32

As per the question;

(a + 32) = 5(a - 32)

⇒ a + 32 = 5a - 160

⇒ 128 = 4a

⇒ a = 32

∴ The larger no is 32.


Related Questions

10 people put their names into 2 different drawings what is the probability the same person will win both?

Answers

Answer:

2/20 chance that they get both the prizes

Unlikely due to the reason it’s a lot of people


Which function is shown on the graph?
U
T
30
2
2
O f(x) = sino
-14
O f(x) = jcos
OS I
2

O f(x) = -cos
COS
O f(x)=- sin

Answers

Answer:

Read the explanation

Step-by-step explanation:

look at the photo

Solve
4x957+8465x563+834
please help i need an answer for my homework

Answers

Answer:

the answer should be 477,0457 if x means multiply but if not you are not putting the equation in a correct way

Answer:

4770457

you just need to calculate them

Find the area enclosed by the figure
Fastttttt plsssss​

Answers

Answer:

Explanation:

So you want to start by finding the area of the big square.

We know the width of the big square is 60cm. The length of the big square is

19

+

24

+

13

=

56

Big square

A

r

e

a

=

L

W

=

56

60

=

3360

Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.

Little square

A

r

e

a

=

L

W

=

24

34

=

816

The area enclosed in the area of the big square minus the area of the little square.

3360

816

=

2544

So the area enclosed is

2544

c

m

2

Step-by-step explanation:

Find the exact length of side a

select a,b,c or d from the pictures, please help!

Answers

Answer:

D. 2√3

Step-by-step explanation:

The given triangle is right because the side adjacent to 60° angle is half the length of the hypotenuse.

Side a = BC is opposite to ange A, its measure is:

BC/AC = √3BC = AC√3BC = 2√3

Correct choice is D

Answer:

[tex]a=2\sqrt{3}[/tex]

Step-by-step explanation:

Side a is the side opposite angle A.  

Side b is the side opposite angle B.  

Side c is the side opposite angle C.  

We have been given the lengths of 2 sides and the included angle.

Therefore, to find side a use the cosine rule.

Cosine rule

  [tex]a^2=b^2+c^2-2bc \cos A[/tex]

where:

a, b and c are the sidesA is the angle opposite side a

From inspection of the triangle:

side b = 2side c = 4angle A = 60°

Substitute the given values into the formula and solve for a:

[tex]\implies a^2=b^2+c^2-2bc \cos A[/tex]

[tex]\implies a^2=2^2+4^2-2(2)(4) \cos 60^{\circ}[/tex]

[tex]\implies a^2=4+16-16\left(\dfrac{1}{2}\right)[/tex]

[tex]\implies a^2=4+16-8[/tex]

[tex]\implies a^2=12[/tex]

[tex]\implies a=\sqrt{12}[/tex]

[tex]\implies a=\sqrt{4 \cdot 3}[/tex]

[tex]\implies a=\sqrt{4}\sqrt{3}[/tex]

[tex]\implies a=2\sqrt{3}[/tex]

Therefore, the exact length of side a is 2√3.

Which prism has the greatest volume?
Show Your Work
Sin
12 in
7
85
O ant

Answers

Answer:

D, the last prism, with a volume of 512cm^3

Step-by-step explanation:

A: 5 x 7 x 12 = 420

B: 8.5 x 11 x 3 = 280.5

C: 3 x 13 x 11 = 429

D: 8 x 8 x 8 = 512

512 is the biggest. D.

Please let me know if I mis-read any of the numbers - it's quite hard to see.

If you need further explanation, let me know!

- profparis

Help anybody please help me

Answers

Answer:

3 units

Step-by-step explanation:

you count how many blocks they are from each other

Help to get the answer

Answers

What answer all you put was help to get the answer I don’t see anything but that I can’t help without anything to work with Sorry

Hope this helps!

The ratio of men to women working for a company is 4 to7. If there are 198 employees total, how many men work for the company

Answers

Answer:

                                                         

Step-by-step explanation:

Jackson bought cupcakes for his sister's birthday party. 72 out of the 96 cupcakes had sprinkles on top. What percentage of the cupcakes had sprinkles?

Write your answer using a percent sign (%).

Answers

We divide 72/96 which the answer is 0.75 or 75%

784x44=? Step by step.

Answers

Answer:

34496

Step-by-step explanation:

i dont know how 2 explain this but you have to do the traditional way of multiplying PLS MARK BRAINLIEST

The roof of a tower in a castle is shaped like a cone. The height of the roof is 30 ft, and the radius of the base is 15 ft. What is the area of the roof? What is the lateral area of the roof?

Answers

Answer:

The area of the roof: ≈2287.44 ft^2, the lateral area of the roof:≈1580.58 ft^2

Step-by-step explanation:

The area of the roof is computed by the equation of the area of a cone:
A = πr(r + [tex]\sqrt{h^{2}+r^(2) }[/tex])
(r: radius, h: height, πr^2 is the area of the base of the cone, πr[tex]\sqrt{h^{2}+r^(2) }[/tex] is the lateral area of the cone). So:

A = [tex]15\pi (15 + \sqrt{30^{2} +15^{2} } )[/tex] ≈ 2287.44 ft^2.

As I stated earlier, the lateral area of the roof can be computed:

A[tex]L[/tex]=[tex]15\pi \sqrt{30^{2} +15^{2} }[/tex] ≈ 1580.58 ft^2.

Suppose you budgeted $2800 for fuel expenses for the year. How many miles could you drive if gas were $2.70 per gallon and your vehicle averaged 28 mi/gal?

Answers

Answer:

29037.036 miles

Step-by-step explanation

There are two possible ways to solve this problem.

The first option starts with the $2800 dollars for the years. You first want to divide this by $2.70, because it will give you the amount of gallons of gas you can buy with that money.

2800/2.70 = 1037.037

This means you can buy 1037.037 gallons of gas in the year. Now you need to convert this to miles by multiplying by the amount of miles per gallon.

1037.037 x 28 = 29037.036 gallons

The second way to look at this is dimensional analysis. If you have learned this, then continue on reading this, but if you haven't I might only confuse you. I only suggest this because it can make it a little easier.

For the dimensional analysis, you need to start with what you are given and move to what you need to know, so you will start with the $2800 dollars and move to gallons. $2.70 per gallon and 28 miles per gallon are your conversion factors.

Set it up like this:

[tex]2800 dollars * \frac{1 gallon}{2.70 dollars} * \frac{28 miles}{1 gallon} = 29037.036 miles[/tex]

This allows the equation to be more organized, and you can check your work by canceling the units.

Hope this helps.

You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest hundredth. (the spinner is 1-9)

The probability of spinning a 4, flipping heads, then spinning a 7 is

Answers

Answer:

1/162

Step-by-step explanation:

first spin 1/9

land heads 50/50

second spin 1/9

so (9 x 2) x 9

= 162

    1

Answer:

1/162 or 0.62 % to the nearest hundredth.

Step-by-step explanation:

Prob(spinning a 4) = 1/9

Prob(spinning a 7) = 1/9

Prob(flipping a head) = 1/2

Required Probability = 1/9 * 1/2 * 1/9

1/162.

Solve for p.

3(p + 4) = 48
A. 13

B. 12

C. 14

D. 19

Answers

Step-by-step explanation:

3 ( p + 4 ) = 48

3p + 12 = 48

3p = 48 - 12

3p = 36

p = 36 ÷ 3

p = 12...

The answer to this math question is?

Answers

Answer:

58 seconds

Step-by-step explanation:

Very very easy, no formulas or +,- required here.

You can see that the swim times go till 44 on the line, that is the lowest, that means the FASTEST swim time. But we need the slowest swim time. That we can find by finding where does the line end in the right side. We can see it ends between 56 and 60, and if we calculate, then we can find out that the bar in the middle represents 58, so hence, her slowest timing for her swim time is 58 seconds.

So hence, your answer is 58 seconds!

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

If you see someone without a smile, give them one of yours!

Thanks!

~MiniMeteorologist~

Have a great day!

:D


expand the following
1. ( m+n)(10m-4n)
2.(6x+y)​

Answers

hope it helps....!!!!!

Answer quickly help please !!

Answers

Answer:

z = 104°

Step-by-step explanation:

        A straight line is 180° which helps us to solve this problem.

                       180° - 76° = 104°

        This means that angle y will be 76° and x will be 104° because of vertical angles.

Answer the following math questions thank you math experts

Answers

Answer:

1) the connection between 2 or more meausures

2) when the r value is closer to 1 or -1 it is a stronger correlation

3) positive correlation would be height and weight. Taller people tend to be heavier. A negative correlation is a relationship between two variables in which an increase in one variable is associated with a decrease in the other

Step-by-step explanation:

choose me as brainlyest:)

I need HELP with this question!

Answers

Answer:

It will be C

Step-by-step explanation:

Because it says least to greatest and C says 1/2 3/8 5/16 7/16 9/32 15/32 and that is least to greatest there you go

HELPPPPPPPP 50PTSSSSSS!!!!!!!!!

Answers

L(d)=205-7d

#1

Paved area:-

L(12)=205-7(12)=205-84=121mi

#b

Let's see

205-7d=1567d=205-1567d=49d=7days

Answer:

(a)  121 miles

(b)  7 days

Step-by-step explanation:

Given function:

[tex]\sf L(d)=205-7d[/tex]

Question (a)

When d = 12:

[tex]\sf \implies L(12)=205-7(12)[/tex]

                [tex]\sf =205-84[/tex]

                [tex]\sf =121 \ miles[/tex]

Therefore, the crew has 121 miles left to pave after 12 days.

Question (b)

When L(d) = 156

[tex]\sf \implies 156=205-7d[/tex]

[tex]\sf \implies 7d=205-156[/tex]

[tex]\sf \implies 7d=49[/tex]

[tex]\sf \implies d=\pm\sqrt{49}[/tex]

[tex]\sf \implies d=\pm7[/tex]

As distance is positive, [tex]\sf d=7[/tex] only

Therefore, the crew has been paving the the road for 7 days.

u( w f +u ) = m + j
solve for u : u=
solve for f :F=

Answers

[tex]\textbf{Solve for u:}\\\\u(wf+v)=m+j\\\\\implies u = \dfrac{m+j}{wf+v}\\\\\textbf{Solve for f:}\\\\u(wf+v) = m+j\\\\\implies uwf+uv = m+j\\\\\implies uwf = m+j-uv\\\\\implies f=\dfrac{m+j-uv}{uw}[/tex]

2/3 of the pizza was left over last night. Then, Marcy ate another 2/9 of it. How much is left over now?

Answers

Answer:

4/9 is left over.

Step-by-step explanation:

First make the denominators the same. 2/3=6/9. 6/9-2/9=4/9.

what is 0.0981 rounded to the nearest tenth of a percent​

Answers

Answer:

0.1 percent

Step-by-step explanation:

sorry I don't have an explanation. sorry if it's wrong, at least I tried

Answer:

0.1

Explanation:

It's right

A basket contains 4 pears, 1 pineapple, 5 bananas, 3 oranges, and 2 limes.
vin randomly selects one piece of fruit from the basket. What is the
robability that he selects an orange from the basket?

Answers

Answer:

3/15

Step-by-step explanation:

there is 15 kinds of fruit totally

4 + 1 + 5 + 3 + 2 = 5 + 5 + 3 + 2 = 10 + 3 + 2 = 13 + 2 = 15

there are 3 oranges; therefore the bility that an orange will be picked is 3 out of 15

Find the value of x in this equation.

Answers

Answer: 5

Step-by-step explanation:

How many solutions does this system have?
y=-3x
-9x-4y = 21
one
two
an infinite number
no solution

Answers

This system have one solution.

How many quarts are in 9 gallons?

Answers

Answer:

1 gallon = 4 quarts

4 × 9 = 36

36 quarts are in 9 gallons

Guys please help! i will mark brainliest to the right answers

Note: in order for me to mark a brainliest 2 people need to answer

Answers

Answer:

y=-2x-2

Step-by-step explanation:

I'm guessing that the question is asking for the equation for slope-intercept for y=mx+b

Why? Well, the the slope formula is rise/run. As you can see, if you look the y-coordinate is consistently going down (negative) by two, and the x-coordinate it is going right by 1 every time and makes a triangle shape. You can actually draw it if you want to. And the -2 would be the y-intercept. (Exactly what it means, where the line means the y-axis)

Hope this helps! I explained this kinda weird but hopefully this is somewhat helpful.

Find the missing factor.______ x 7 = 2,800
A) 4
B) 40
C) 400
D) 4,000

Answers

Answer:

400

Step-by-step explanation:

[tex] \huge\mathbb\orange{ANSWER} [/tex]

[tex] \mathsf \purple{c) \: 400}[/tex]

Other Questions
the reasons behind political instability after sunghauli treaty To bring an end to excessive drinking, many women in the 1800sa. opposed the Shaker movement.b. supported the abolitionist movement.c. spoke against the revival movement.d. joined the temperance movement. what is the surface area of the a cylinder with base radius 3 and height 8. One of the most important New Deal programs was the Public Works Administration which did all of the following except a. constructed huge hydroelectric power facilities in the West such as the Grand Coulee Dam b. constructed urban bridges (e.g., Golden Gate Bridge, San Francisco) and tunnels (e.g., Lincoln Tunnel, NYC) c. built a national highway system spanning thousands of miles connecting every major city in the country d. built up a navy including aircraft carriers, cruisers, planes, submarines, etc. n one to two sentences, describe how the destruction of the bison herds affected Indigenous Americans. What physical property does gases and plasmas have in common the sum of a minutes and b seconds, expressed in minutes, is: The density of apple juice is 1. 04 grams per cm^3 Please help as soon as possible A triangle has two sides of length 1 and 8. What is the smallest possible whole-number length for the third side? Based on the information in "From Barter to Bitcoin," why is wampum, the currency used by Native Americans, replaced by other currencies?PLEASE ANSWER QUICK IF RIGHT BRANILIESTIt becomes too expensive to find the materials to make wampum. Europeans introduce their own form of currency in North America. It is too time-consuming to produce it compared with other options for currency. Europeans begin making it and flood the market, making wampum lose its value Which term describes living things?A) We shiver when we get cold.B) Moss on the side of the tree is active even though it looks still.C) Human kidneys produce urine.D) A rabbit gets nutrients from a carrot. A survey stopped men and women at random to ask them where they purchasedgroceries, at a local grocery store or online.How many men surveyed shop at a local grocery store. Why does the moon have craters in it? Helppp meee please this one confuses me The beginning of the Anglo-Saxon period roughly corresponds with which historical event? a) Solve for x. b) Then determine the angle measurement. I have been made into a body that can fly to every country. even though I am light, I am very strong. mention my name and my property how can caregivers best support an infants sense of hearing As chief executive, the president is constitutionally bound to.