A bowl contains blueberries and strawberries. There are a total of 16 berries in the bowl. The ratio of blueberries to strawberries is 3 : 1. How many of each berry are in the bowl?

Answers

Answer 1

Answer:

12 blueberries and 4 strawberries

Step-by-step explanation:

We can try the guess method.

3:1      3 + 1 = 4     4 is too low. We need a sum of 16.

Multiply both numbers in the ratio by 2.

6:2     6 + 2 = 8   8 is still too low

Multiply both numbers in the ratio by 4.

12:4    12 + 4 = 16    16 is correct.

Answer: 12 blueberries and 4 strawberries


Related Questions

PLEASE HELP ASAP
Negative 4/4 + 160% + 1/5
ENTER THE ANSWER AS AN EXACT DECIMAL OR SIMPLIFIED FRACTION

Answers

Answer:

0.8 or 8/10

Step-by-step explanation:

Answer:

4/5 or 0.8

Step-by-step explanation:

so, -4/4 and 1/5 are both already fractions.

160% as a decimal would be 1.6. 1.6 as a fraction would be 8/5.

-4/4 is just -1

-1+1/5+8/5

so, -5/5 +1/5 +8/5

-5/5 plus 9/5

4/5

the answer would be 4/5 or 0.8

Paige earned $15.50 per hour. She received a 15% raise. How much more does Paige earn now per hour?

Answers

Answer:

232.5

Step-by-step explanation:

If you take 15.50 and multiply it by 15 you get 232.5 if its wrong my apologies

Answer: $2.33

Step-by-step explanation:

Your formula for percent is % times X = Y.

So you multiply 15% x 15.50 and you get 2.325 and you round it up and the 5 makes your 2 go to a 3 and you get $2.33

X^2+4x+20=12x-5

Solve this equation

Answers

Answer:

4 + (or -) 3i

Step-by-step explanation:

Hi!

Alright, so we're going to move all of the variables and constants to one side. Then, using the quadratic formula, we'll find the answer.

1. Move 12x-5 to the left side of the equation by

  a. Subtracting 12x from both sides

  b. adding 5 to both sides.

1: x^2+4x+20-12x+5

2. Group the common terms

  x^2+4x-12x+20+5 --> x^2-8x+25

3. Look at the problem. We can't factor this.

Explanation for why this isn't factorable (you can skip this)

(1) 25 is positive, so its two factors will both be either positive or negative. We're looking for a negative 8, so let's go with negative.

(2) Factors of 25: 1 & 25, 5 &5

Seeing the problem? Ya, none of the factors of 25 sum to eight. So, instead, we're going to use the quadratic formula.

4.  So, the quadratic formula: [tex]\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

Our equation is x^2-8x+25=0

a is the constant in front of the x^2

b is the constant in front of the x

c is the term without any x values

so, a=1, b=-8, and c= 25

Into equation:

[tex]\frac{8+-\sqrt{64-4(1)(25)} }{2a}[/tex]=[tex]\frac{8+-\sqrt{64-100} }{2}[/tex]=[tex]\frac{8+-\sqrt{-36} }{2}[/tex]

8/2 = 4

sqrt(-36) = 6i

6i/2 = 3i (remember, we still have the two in the denominator)

4 + (or -) 3i

Answer:

[tex]x=4+ 3\mathbf{i}[/tex]

[tex]x=4- 3\mathbf{i}[/tex]

Step-by-step explanation:

Solve:

[tex]x^2+4x+20=12x-5[/tex]

Move everything to the left side:

[tex]x^2+4x+20-12x+5=0[/tex]

Simplify:

[tex]x^2-8x+25=0[/tex]

Apply the solver formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Where a=1, b=-8, c=25. Thus:

[tex]\displaystyle x=\frac{8\pm \sqrt{(-8)^2-4(1)(25)}}{2*1}[/tex]

[tex]\displaystyle x=\frac{8\pm \sqrt{64-100}}{2}[/tex]

[tex]\displaystyle x=\frac{8\pm \sqrt{-36}}{2}[/tex]

The solutions are complex numbers:

[tex]\displaystyle x=\frac{8\pm 6\mathbf{i}}{2}[/tex]

Simplifying:

[tex]x=4\pm 3\mathbf{i}[/tex]

Two solutions are found:

[tex]x=4+ 3\mathbf{i}[/tex]

[tex]x=4- 3\mathbf{i}[/tex]

plz help me what is y=4x+8

Answers

X=-2
Move variable to the left and than you divide both sides of equation by 4

A math app was downloaded 52 times in 4 days. If it continues to be downloaded at the same rate, what scale factor can be used to find out how many times it was downloaded in 12 days?

Answers

Answer:

= 156 app downloaded in 12 days

use: 13x

plug in the amount of day for x.

Step-by-step explanation:

52/4 = 13

13x

13(12) = 156

Ace Carlos

Over what interval is the function in this graph increasing?
A-2 sxs 3
B.-3 sxs2
C.-4 SXS - 2
D. -55x55

Answers

Step-by-step explanation:

The interval is -2 <= x <= 3 (A).

please help it’s due soon marking brainlest look at my examples determine whether the two expressions are equivalent. if so tell what peppery is applied. if not explain why.

Answers

Answer:

1. Yes

2. Yes

3. No

4. No

5. No (that is plus not multiply)

x² -5x -6 factorised

Answers

(X+1)(x-6) I think is what you’re asking for?

Please help. I'll give brainliest :)
On a map 1 inch = 50 miles. If two cities are inches apart, how many miles are they apart?
14.3 miles
50 miles
175 miles
137.5 miles

Answers

Answer:

it would be 100

Step-by-step explanation:

if 1=50 and you have 2 then multiple 50 by 2 and that gives you 100

Answer:

Givint the fact that the two cities are 3 1/2 inches arpart t=which you forgot to put in, I would say that there 175 miles apart

Is this correct


16-2t=5t+9

Answers

Yes, your answer is correct

Answer: yes it is t={1}

PREMISES

16–2t=5t+9

CALCULATIONS

16–2t=5t+9

(16–9)-(2t-2t)=5t+2t+(9–9)

7–0=7t+0

7t=7

7t/7=7/7

t=1/1

t=

1

PROOF

If t=1, then the equations

16–2t=5t+9

16–2(1)=5(1)+9

16–2=5+9 and

14=14 prove the root (zero) t=1 of the statement 16–2t=5t+9

Step-by-step explanation:

19. The perimeter of the rectangle is 36 centimeters.
3
What is the length of the diagonal?
o
A. 108 centimeters
o B. V 144 centimeters
O C. 216 centimeters
D. 234 centimeters

Answers

Answer:

I think its b

Step-by-step explanation:

A small company has one color printer and one black-and-white printer, each printing at different rates. The color printer, working for 5 minutes and the black-and-white printer working, working for 3 minutes, print a total of 70 pages. When the black-and-white printer works for 6 minutes and the color printer works for 9 minutes, they print a total of 135 pages. This is modeled by the situation below, where b is the number of pages per minute of the black-and-white printer and c is the number of pages per minute of the color printer 3b + 5c = 70 and 6b + 9c = 135 How many pages per minute does the black-and white printer print?

Answers

Answer:

The black-and white printer print can print 15 pages per minute.

Step-by-step explanation:

The given modeled equations are

3b + 5c = 70...(i)

6b + 9c = 135...(ii)

where b is the number of pages per minute of the black-and-white printer and c is the number of pages per minute of the color printer.

From equation (i), we have

[tex]3b=70-5c \\\\\Rightarrow b = \frac {70-5c}{3} \cdots(iii)[/tex]

Now, substitute the value of b in equation (ii), we have

[tex]6\times \frac {70-5c}{3}+9c=135 \\\\\Rightarrow 2(70-5c)+9c=135 \\\\\Rightarrow 140 - 10c+9c=135 \\\\\Rightarrow -c=135-140=-5 \\\\\Rightarrow c=5x^{2}[/tex]

By using equation (iii), we have

[tex]b = \frac {70-5\times5}{3}=\frac{45}{3}=15[/tex]

Hence, the black-and white printer print can print 15 pages per minute.

The black-and-white printer can print 15 pages per minute.

Given equations:

[tex]3b+5c=70[/tex]    ........(i)

[tex]6b+9c=135[/tex]  ........(ii)

Where b is the number of pages per minute of the black-and-white printer and c is the number of pages per minute of the color printer.

Solve the system of equations by substitution method

From (ii)

[tex]6b=135-9c\\b=\frac{135-9c}{6}[/tex]     ........(iii)

Put the value of b in (i), we get

[tex]3(\frac{135-9c}{6} )+5c=70\\\frac{135-9c}{2} +5c=70\\135-9c+10c=140\\c=5[/tex]

put c = 5 in (iii)

[tex]b=\frac{135-9(5)}{6} =\frac{90}{6} =15[/tex]

Therefore, The black-and-white printer can print 15 pages per minute.

For more information:-

https://brainly.com/question/901589

Jesse took out a $14,000 car loan for 5 years at a 7.2% interest rate. Find Jesse's total payment amount for this loan.

Answers

Answer:

16,712.38

Step-by-step explanation:

Periodic interest rate 7.2%/12 = 0.6%

First find the monthly payment

M = $14,000 * 0.006(1 +0.006)^60/(1+0.006)^60-1 = 278.54

The total payment is $278.54 * 60= $16,712.38

Jesse's total payment amount for this loan is $16,712.38

What is Compound interest?

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Compound Interest =P(1+r/n)^rt

We are given that Jesse took out a $14,000 car loan for 5 years at a 7.2% interest rate.

Periodic interest rate = 7.2%/12

= 0.6%

First we need to find the monthly payment

M = $14,000 x 0.006(1 +0.006)^60/(1+0.006)^60-1

M = 278.54

The total payment is

$278.54 x 60= $16,712.38

Hence, Jesse's total payment amount for this loan is $16,712.38

Learn more about interest here;

https://brainly.com/question/1548909

#SPJ2

Jacqueline spent 33.50 to rent a bicycle. The bike rental facility charged $4 per hour and a processing fee of $1.50. For how many hours, x , did jacqueline rent the bicycle

Answers

Answer:

8 hours

Step-by-step explanation:

Given that:

Money spent by Jacqueline to rent a bicycle = $33.50

Per hour charges for the bicycle for renting the bicycle = $4

Processing fee charged for renting the bicycle = $1.50

To find:

The number of hours, [tex]x[/tex] for which Jacqueline rented the bicycle.

Solution:

Charges for 1 hour = $4

Charges for [tex]x[/tex] hours = $[tex]4x[/tex]

Processing fee = $1.50

Total fee charged for renting the bicycle is nothing but the sum of processing fee and the charges for [tex]x[/tex] hours charged by the bike rental facility.

Total money spent = Processing Fee + Charges for [tex]x[/tex] hours

Total money spent = 1.50 + 4[tex]x[/tex] = 33.50

[tex]\Rightarrow 4x = 32\\\Rightarrow x = \bold{8\ hours}[/tex]

So, Jacqueline rented the bicycle for 8 hours.

how how how? I help how to do it​

Answers

#2 also is yes
Just match with all the given stuff below

Answer: ich weiß nicht, aber ich will die freien Punkte

Calculate the largest possible are of a square whose side length is 1 cm to 1 significant figure.

Answers

Answer:

the answer is

1

Step-by-step explanation:

1*1=1

hope it helped

Use area model to find the product of 26 x 14.

Answers

Answer: 364

Step-by-step explanation:

Tell whether 18:5 and 10:6 form a proportion.

Answers

Answer:

No

Step-by-step explanation:

They are not equivalent fractions

Answer:

No, they are not equivalent

Step-by-step explanation:

Please answer the following attached image:

Answers

The correct answer is D.Please mark me as Brainliest!

Answer:

6i

Step-by-step explanation:

[tex]\sqrt{-36} = \sqrt{36} \sqrt{-1}[/tex]

[tex]\sqrt{36}[/tex] is 6 and symbol for [tex]\sqrt{-1}[/tex] is i for imaginary. So your answer will be 6i

4. Compare: 63% and 0.8 *

Answers

Answer:

.8>63%

Step-by-step explanation:

Answer:

63% is greater 0.8

Step-by-step explanation:

Hope it helps! :)

express 42 minutes as a percentage of 5hours​

Answers

Answer:

14%

Step-by-step explanation:

42 minutes, 5 hours is 300 minutes, 42/300 = 0.14 which is 14%

Would you rather go with the deal : 25% off of the $40 for christmas wrapping paper or the deal for 50% off of the $62 for christmas wrapping

Answers

Answer:

50% off of the $62 for christmas wrapping is the better deal

Step-by-step explanation:

Let us compare the prices after the discount

25% off of the $40 for christmas wrapping paper

=25/100*40

=0.25*40

=$10

The new price is

40-10=$30

50% off of the $62 for christmas wrapping

50/100*62

0.5*62

=$31

The new price is

=62-31

=$31

there are 3,681 students at west school. Three grades attend this school. There are the same number of students in each grade. How many students are in each grade.

Answers

Answer:1,227

Explanation: 3,681 divided by 3 is 1,227

Answer:

1,227

Step-by-step explanation:

3,000 divided by 3 is 1,000

600 divided by 3 is 200

80 divided by 3 is 26 r2

1 + r2 =3

and 3 divided by 3 is 1

1,000 + 200 + 26 + 1 = 1,227

Which are the intercepts of the equation y=−17x−8?

Answers

Answer:

The far left one

Step-by-step explanation:

When you graph it it intercepts the point (-56,0) the other es are wrong because the x and y points are mixed up.

Solve for x, rounding to the nearest hundredth.
3^x= 93

11e^x=1 solve for x and round to the nearest hundredth

Answers

uhmmmm, i just need words :)

Which statement about the ratios 15/18 and 18/27 is true?

A.The ratios are proportional because they simplify to the same ratio.
B.The ratios are proportional because they both contain the number 8.
C.The ratios are not proportional because they do not have the same denominator.
D.The ratios are not proportional because they do not simplify to the same ratio.

Answers

Answer:

C

Step-by-step explanation:

brainliest pls

Answer:

D

Step-by-step explanation:

the answer is D beacuse if expressed as ratios the would not be simplified or reduced to the same lowest form

A woman bought 210 oranges for GH¢65.00. she sold all of them at 3 for ¢20.00. how much profit did she make?

Answers

Answer:

She made a profit of 1,335 cedis

Step-by-step explanation:

Here, we want to calculate the profit made

Profit is selling price - cost price

Her cost price is 65 credits

For her selling price;

she sells 3 for 20 cedis

So the price she sold 210 will be;

(210 * 20)/3 = 1,400 cedis

So the profit made is;

1,400-65 = 1,335 cedis

(Y-2,2x+1)=(x-1,y+2)

Answers

Answer:

x=2 and y=3

Step-by-step explanation:

y-2=x-1

or,x-y=-1.......(1)

again,

2x+1=y+2

or,2x-y=1.......(2)

now,

solving equations (1)&(2),we get,

x=2 and y=3

I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

the answer would be D yeahhhhhh
the answer to the problem is D pls give brainliest

PLEASE HELP ILL MAKE BEST ANSWER BRAINLIEST


Based on the table, what is the unit rate for one gallon of gasoline?

A.3.30$
B.4.60$
C.5.60$
D.6.50

LOOK AT PICTURE PLEASE HELP

Answers

Answer:

im going to go with A because you want to divide 6.60 by 2

Step-by-step explanation:

Subtract the third price by each of the answers until you get the second price for an answer. If you still don't get it can you comment down below and I'll tell you the answer.

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