a bakery sold 10 more cakes this month than it did the last month. It also sold 3 times as many cakes in this month than in the month before the last month. If that total number of cakes it sold in the last 3 months is 116, how many cakes did it sell last month?​

Answers

Answer 1

Answer:

Last month it sold 338 cakes.

Step-by-step explanation:

Let total cakes this month,last month and last 3 months be x,y and z respectively,

x = y + 10...

x = 3z

z = 116

Now, we have to find y,

x = y + 10

or, 3z = y + 10

or, 3•116 = y + 10

or, 348 = y + 10

or, y = 348 - 10

so, y = 338


Related Questions

Answer ASAP. What is the distance between (1, -4) and (1, 18)?
0 2 units
5 units
19 units
22 units

Answers

Answer:

22

Step-by-step explanation:

I used the distance formula

Answer:

Fourth option

Step-by-step explanation:

Given the following question:

(1, -4), (1, 18)

To find the distance between the two points we need to plot them on a graph and then count how many units are between the two.

On the same y-axis

[tex]4+18=22[/tex]

"22 units" or the fourth option.

Hope this helps.

Find the slope of the line passing through the points (8, -2) and (1, -6).​

Answers

Answer:

[tex]\frac{4}{7}[/tex]

Step-by-step explanation:

The equation for slope is:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We can plug in the given points into the equation:

[tex]Slope=\frac{-6-(-2)}{1-8}=\frac{-6+2}{-7}=\frac{-4}{-7}=\frac{4}{7}[/tex]

Please help me on this ​

Answers

Answer:

  a) the x-coordinate changes sign

  b) the y-coordinates are unchanged

  c) this is a reflection across the y-axis

Step-by-step explanation:

a)

Each image point is on the same horizontal line as the original. It is as far from the y-axis as the original, but in the opposite direction. Its x-coordinate has changed sign.

__

b)

The y-coordinate is the same for each image point as for the original. The y-coordinates have not changed.

__

c)

The line of reflection is the perpendicular bisector of the segment joining the original point and its image. In every case, that is the y-axis. The image is a reflection across the y-axis.

A swimming pool is to be constructed in a 1,408-ft2 backyard. There is to be a fence that will surround a 12-by-24-foot pool. The pool builder wants to build a concrete paver deck of a uniform width, x, surrounding the pool and filling the entire area of the backyard. What is the width of the pool deck?

9 ft
10 ft
11 ft
12 ft

Answers

Answer:

B. 10 ft

Step-by-step explanation:

Let the width of the pool deck be x.

Dimensions of the pool are 12 + 2x and 24 + 2x.Total area is 1408 ft².

We have equation:

(12 + 2x)(24 + 2x) = 140812*24 + 12*2x + 24*2x + (2x)² = 1408288 + 72x + 4x² = 14084x² + 72x + 288 - 1408 = 04x² + 72x - 1120 = 0x² + 18x - 280 = 0x² - 10x + 28x - 280 = 0x(x - 10) + 28(x - 10) = 0(x - 10)(x + 28) = 0

1)

x - 10 = 0x = 10

2)

x + 28 = 0x = - 28 (discarded as negative)

Correct choice is B

The width of the pool deck is 10 feet (x = 10).

So, the answer is option B: 10 ft.

Here, we have to find the width of the pool deck, we need to calculate the total area occupied by the pool and the deck and then find the value of x that makes the total area equal to 1,408 square feet.

First, let's calculate the area of the pool.

The pool is 12 feet by 24 feet:

Area of the pool = Length × Width

Area of the pool = 12 ft × 24 ft

Area of the pool = 288 ft²

Now, we want to add the deck around the pool.

The length and width of the entire area (pool + deck) will be (12 + 2x) feet and (24 + 2x) feet, respectively, because we add x feet to both sides of the pool.

Area of the entire area (pool + deck) = (12 + 2x) ft × (24 + 2x) ft

We want this area to equal 1,408 square feet:

(12 + 2x) ft × (24 + 2x) ft = 1,408 ft²

Now, we can solve for x:

(12 + 2x) × (24 + 2x) = 1,408

Expand the equation:

288 + 48x + 24x + 4x² = 1,408

Combine like terms:

4x² + 72x - 1,120 = 0

Now, let's solve this quadratic equation for x.

We can either factor it or use the quadratic formula:

Using the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a

where a = 4, b = 72, and c = -1,120.

x = (-(72) ± √(72² - 4 * 4 * -1,120)) / 2 * 4

x = (-72 ± √(5,184 + 17,920)) / 8

x = (-72 ± √23,104) / 8

x = (-72 ± 152) / 8

Now, we have two possible solutions:

x = (-72 + 152) / 8

x = 80 / 8

x = 10

x = (-72 - 152) / 8

x = -224 / 8

x = -28

Since we are interested in a positive width for the deck, the width of the pool deck is 10 feet (x = 10).

So, the answer is option B: 10 ft.

To learn more on Area click:

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How do we find the equivalent ratio of 8/20 PLS HELP ITS RLLY IMPORTANT!!!!

Answers

Answer:

2/5, 4/10, 6/15, 8/20, 10/25, 12/30, 14/35, 16/40, 18/45, 20/50, 22/55, 24/60, 26/65, 28/70, 30/75, 32/80, 34/85, 36/90, 38/95, 40/100 ...

What is the solution to the equation below?
square root + 9 = 11

Answers

Answer:

A. x = 4

Step-by-step explanation:

[tex]\sqrt{4} +9=2+9=11[/tex]

Hope this helps

Answer:

     A.  [tex]x =4[/tex]

Step-by-step explanation:

[tex]\sqrt{x} + 9 = 11[/tex]

[tex]\sqrt{x} = 11-9[/tex]

[tex]\sqrt{x} = 2[/tex]

[tex]x = 2^2[/tex]

[tex]x =4[/tex]

Jayla got in her car and started driving toward her grandmother's house. After driving for 2 hours and 5 minutes, Jayla took a break for 1 hour and 20 minutes to have a snack. Then Jayla drove 2 hours and 5 minutes and finally arrived at her grandmother's house at 12:45 P.M. What time did Jayla start driving?

Answers

Answer:

5 hours, and 30 minutes ago, which would be 7:15 AM

Step-by-step explanation:

add hours, then minutes, then subtract both times: 12:45 - 5:30 = 7:15

Last one and I’m done :’) help

Answers

Answer:

#1= 24.23

#2= 57.91

#3= 35.84

#4= 48.59

Step-by-step explanation:

soh cah toa

sin=opposite/hypotenuse

cos=adjacent/hypotenuse

tan= opposite/adjacent

use inverse sin cos and tan to find angles!

Answer:

Example 1 tan-1(9/20)=24.23°

Example 2 cos-1(17/32)=57.91°

Example 3tan-1(13/18)=35.84°

Example 3 sin-1(21/28)=48.59°

What’s the correct answer for this?

Answers

Answer:

-20/3

Step-by-step explanation:

m = ∆y/∆x

∆y = -8 - 12 = -20

∆x = 8 - 5 = 3

Hence m= ∆y/∆x = -20/3

What is the width and height of this triangle?

Answers

Answer:

The base is 6.69 and the height is 6.02 (these are rounded to the nearest hundredth)

Step-by-step explanation:

soh-cah-toa

cos 42 = adjacent/9

adjacent = cos 42 x 9

adjacent = 6.69

sin 42 = opposite/9

opposite = sin 42 x 9

opposite = 6.02

In a chess club, 75% of the members are boys. Of these boys, 8% have hazel eyes. If 6 boys have hazel eyes, how many people are in the chess club.
Define a variable for the unknown quantity.

Answers

Percentage

8% x 75%.x = 6

0.06x = 6

x = 100

Help please due today.

Answers

Answer:

I think its 2nd one

HOPE IT HELPS, BE SAFE! Brainiest if possible pls! :)

There is a pair of parallel sides in the following shape.
4
9
10
What is the area of the shape?

Answers

The area of a shape is the amount of space on the shape

The area of the shape is 110 unit square

How to determine the area of the shape

From the complete question, the composite shape has:

A rectangle of 10 units by 9 unitsA triangle of base 10 units and a height of 4 units

The area of the rectangle is:

Area = 10 * 9 = 90 unit square

The area of the triangle is:

Area = 0.5 *10 * 4 = 20 unit square

So, the area of the figure is:

Total = 90 + 20

Total = 110 unit square

Hence, the area of the shape is 110 unit square

Read more about areas at:-

https://brainly.com/question/24487155

What is the value of x ? (Make sure you give the value of x !!!!)

A 20 degrees
B 50 degrees
C 30 degrees
D. 40 degrees

Answers

Answer:

The value of x is 20 degrees.

Step-by-step explanation:

The three angles of a triangle must equal 180 degrees.

100 + 40 + 2x = 140 + 2x

180 - 140 = 40 (goal)

2(x) = 40

2(20) = 40

A) 20 degrees

Brainliest if correct

Answers

10

Answer:

[tex] - 1(2)( - 5) \\ - 2 \times ( - 5) \\ = 2 \times 5 \\ 10[/tex]

Answer:

10

Step-by-step explanation:

-1(2)(-5)

-1(-10) = 10

[RevyBreeze]

According to the graph of H(w) below, what happens when w gets very large?
H(W)
(5.0, 20.00)
O A. H(w) equals zero.
O B. H(w) gets very small.
O C. Hw) moves left.
O D. H(w) approaches a vertical asymptote.

Answers

Answer:

B. H(w) gets very small.

Step-by-step explanation:

This should be the answer you're looking for

From the graph of H(w) and w, H(w) gets very small when w gets very large option (B) H(w) gets very small is correct.

What is an exponential function?

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x

where a is a constant and a>1

As we know, It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph shown in the picture.

From the graph:

H(w) represents the vertical axis or y-axis and w represents the horizontal axis or x-axis.

H(w) is decreasing as the w increasing

Thus, from the graph of H(w) and w, H(w) gets very small when w gets very large option (B) H(w) gets very small is correct.

Learn more about the exponential function here:

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Hey guys can anyone help me find the missing side length pls and ty

Answers

[tex]\bold{\huge{\green{\underline{ Solution}}}}[/tex]

[tex]\bold{\underline{ Given :- }}[/tex]

We have given a right angled triangle whose values are m, n and 2

[tex]\bold{\underline{ To \: Find :- }}[/tex]

We have to find the value of m and n

[tex]\bold{\underline{ Let's \: Begin :- }}[/tex]

In the given right angled triangle, we have

Perpendicular height = n units Base = 2 unitsHypotenuse = m units

Now, By using trigonometric ratios

[tex]\bold{\pink{ Sin Φ = }}{\bold{\pink{\frac{Perpendicular }{Hypotenuse}}}}[/tex]

[tex]\bold{\red{ Cos Φ = }}{\bold{\red{\frac{Base}{Hypotenuse }}}}[/tex]

[tex]\bold{\blue { tan Φ = }}{\bold{\blue{\frac{Perpendicular }{Base }}}}[/tex]

According to the question :-

[tex]\bold{ Cos \: 45° = }{\bold{\frac{2}{m}}}[/tex]

[tex]\bold{ 1/√2= }{\bold{\frac{2}{m}}}[/tex]

[tex]\bold{\red{ m = 2√2 \: units }}[/tex]

We know that , Sum of Angles of triangle is 180° .

Therefore,

Let the unknown angle be x

[tex]\sf{ 45° + x + 90° = 180° }[/tex]

[tex]\sf{ x = 180° - 135 ° }[/tex]

[tex]\sf{ x = 45° }[/tex]

Now,

[tex]\bold{ Cos \: x° = }{\bold{\frac{n}{2√2}}}[/tex]

[tex]\bold{ Cos \: 45° = }{\bold{\frac{n}{2√2}}}[/tex]

[tex]\bold{ 1/√2= }{\bold{\frac{n}{2√2}}}[/tex]

[tex]\bold { n = 2√2/√2 }[/tex]

[tex]\bold{\red{ n = 2\: units }}[/tex]

Thus, The value of m = 22 and n = 2

[tex]\sf{\blue{ Hence, \: option \: D \: is \: Correct }}[/tex]

Sense you have your answer already….

According to all known laws of aviation, there is no way a bee should be able to fly. Its wings are too small to get its fat little body off the ground. The bee, of course, flies anyway because bees don't care what humans think is impossible.


Which of the following is a point where the graph
of the function f(x) = (2x + 5)2 intersects the
X-axis?

Answers

Answer:

-When (2×-5) intersects at ×-axis the value of × will be zero.

=>F(×)=× 0=2×-5

hence,

0,=2×-5

5=2×

=>×=5/2

Step-by-step explanation:

hpe it hlps

Given the function f(x) = x + 1 and the linear function g(x), which function has a greater value when x = 2?

f(x) is greater.

g(x) is greater.

f(x) and g(x) are the same when x = 2.

g(x) is undefined when x = 2.

Answers

Answer:

F(x) is greater.

Step-by-step explanation:

f(2) = 2 + 1

(2,3)

Have a good day!

Answer:

F(x) is greater.

Step-by-step explanation:

A square has a perimeter of 36 cm.
What is the length of each side?

Answers

If the perimeter of a square is 36 then the length of one of its sides is 9 units.

Answer:

9cm

Step-by-step explanation:

a square has 4 equal sides therefore if you divide 36 by 4 you will get the length of 1 side

Find the perimeter of the figure to the right

Answers

Answer:

241/20 or 24.05 0r 481/20

Step-by-step explanation:

First simply your fractions

then add 6+4 to your fractions !!

Answer:

24 1/20 meters

Step-by-step explanation:

To find perimeter, you add all the side lengths.

6 4/5 + 4 + 6 + 7 1/4 = 24 1/20

On a Saturday evening in Chicago, 34% of the people go out to dinner, 18% go out to see a movie, 13% go out to a party, and 35% stay home. If four people are randomly selected on Monday morning, what is the probability that all but one went out Saturday night?

Answers

Answer:

100% for the conditions given.

Step-by-step explanation:

P(out) = .34 + .18 + .13= 0.65

This is the probability for going out. The 4th person is the one not going out. We are to assume that he wants to watch Monday Night Football or something like it

So the probability of not going out for 1 person is 0.35

You can justify this in two ways.

Either you can rely on the given (P(stay at home) = 0.35)

or you can take the probability of the 3 given who do go out and subtract it from certainty (or 1)

1 - 0.65 = 0.35

Find sinθ×cos^2θ when sinθ=14 and θ is in Quadrant I.

Answers

Theta be AsinA=1/4( sin has range -1 to 1 only)

cosA:-

[tex]\\ \rm\longmapsto \sqrt{1-sin^2A}=\sqrt{1-(1/4)^2}=\sqrt{1-1/16}=\sqrt{15/16}=\dfrac{3\sqrt{5}}{4}[/tex]

In Q1 all are positive

Now

[tex]\\ \rm\longmapsto sinA+cos^2A[/tex]

[tex]\\ \rm\longmapsto 1/4+15/16[/tex]

[tex]\\ \rm\longmapsto 4+15/16=19/16[/tex]

There are 15 female performers in a dance recital. The ratio of men to women is 2:5. How many men are in the dance recital?

Answers

Hello there! :)I'll be glad to help you! :)

Answer:

There are 6 men in the dance recital.

Step-by-step explanation:

We have a ratio of 2:5, men to women. If there are 15 female performers we can do a cross multiplication to find the males performers:

Then it will be

[tex]\tt \frac{15}{x} =\frac{5}{2}[/tex]

[tex]\tt 5x=15*2[/tex]

[tex]\tt 5x=30[/tex]

[tex]\tt x=\frac{30}{5}[/tex]

[tex]\tt x=6[/tex]

[tex]\tt Therefore,there~are~6~Men~at~the~dance[/tex]

-Thanks for choosing Brainly!

-Have an Awesome day

-Nature-

Y » Jason volunteered last month at two places: an animal shelter and the library. He spent 5 times as long volunteering at the animal shelter as he did at the library. 1) Pick the diagram that models the ratio in the story. shelter library shelter library 4) Last month, Jason volunteered 20 hours at the animal shelter. How many hours did he volunteer last month altogether? hours Submit​

Answers

Answer:

24

Step-by-step explanation:

L = library

A = animal shelter

A = 5L

20 = 5L

20 ÷ 5 = 5L ÷ 5

4 = L(L = 4)

4 + 20 = 24

find sin 0

a 8/15
b 15/8
c 15/7
d 8/17​

Answers

Answer:

d

Step-by-step explanation:

The area of an equilateral triangle varies directly as the square of side s. What is the equation

Answers

Answer:

A = ks^2

I hope this helps :D

I need the answer and quick, please!
0.65 T = _ lb

Answers

Answer:

Step-by-step explanation:

1 ton = 2000 pounds

thus:

0.65T * (2000lb / 1 T) = 1300 lbs

Hope that helps!

Estimate the sum of 604 and 392

Answers

996 would be the correct answer

Answer:

996

Step-by-step explanation:

Although that's the exact answer

janice has 27 feet of ribbon, How many more feet does she need to buy so that she will have 82 feet of ribbon

Answers

Answer:

55 feet

Step-by-step explanation:

This is a subtraction problem.

You need to find the difference between what Janice has (27feet) and what she would like to have (82feet)

82 - 27

= 55

Janice needs 55 feet of ribbon. This amount along with the 27 feet she already has will give her a total of 82 feet of ribbon.

55 + 27 = 82

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