answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
julia-pushkina [17]
2 years ago
8

Joyce uses 310 bag of chocolate chips for each batch of cookies she makes. What is the least number of batches Joyce can make if

she has to open a second bag of chocolate chips? Enter your answer in the box.
Mathematics
2 answers:
lyudmila [28]2 years ago
7 0

Complete question :

Joyce uses 3/10 bag of chocolate chips for each batch of cookies she makes. What is the least number of batches Joyce can make if she has to open a second bag of chocolate chips? Enter your answer in the box.

Answer:

4 batches

Step-by-step explanation:

Fraction of a bag of chocolate used per batch = 3/10 of a bag

Least number of batches that must be made if a second bag must be open :

Number of batches that can be made from the first bag :

1 bag / (3/10 of a bag)

1 / (3/10 * 1)

1 / (3/10)

1 ÷ (3/10)

1 * 10/3 = 10/3

= 3.333 batches

If another bag will be open, the it will be used to complete the incomplete batch. Hence, the least number of batches that can be made will be 4

tigry1 [53]2 years ago
7 0

Answer:

4 batches

Step-by-step explanation:

Number of batches that can be made from first bag:

1 bag / (3/10 of a bag)

1 / (3/10 * 1)

1 / (3/10)

1 ÷ (3/10)

1 * 10/3 = 10/3

= 3.333 batches

Adds up to 4 batches

You might be interested in
A flag stick on a golf course that is 6 1/2 feet tall casts a 9 3/4 foot shadow while a golfer nearby casts a 8 3/4 foot shadow.
vredina [299]
5 1/2 feet tall because the shadow is 1 foot shorter and so must the person be 1 foot shorter
6 0
2 years ago
In the diagram, transversal t cuts across the parallel lines a and b. Match the pairs of angles with the relationship that shows
charle [14.2K]

we know that

<u>case a)</u> alternate exterior angles

m∠2=m∠7 --------> by alternate exterior angles

m∠1=m∠8 --------> by alternate exterior angles

<u>case b)</u> alternate interior angles

m∠3=m∠6 --------> by alternate interior angles

m∠5=m∠4 --------> by alternate interior angles

<u>case c)</u> corresponding angles

m∠1=m∠5 --------> by corresponding angles

m∠3=m∠7 --------> by corresponding angles

m∠2=m∠6 --------> by corresponding angles

m∠4=m∠8 --------> by corresponding angles

<u>case d)</u> vertical angles

m∠1=m∠4 --------> by vertical angles

m∠2=m∠3 --------> by vertical angles

m∠5=m∠8 --------> by vertical angles

m∠6=m∠7 --------> by vertical angles

therefore

the answer in the attached figure

5 0
2 years ago
Triangle ABC was dilated and translated to form similar triangle A'B'C'.
Hunter-Best [27]
Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure.

On this exercise is asked to find the scale factor by which the triangle ABC was 
dilated to produce the triangle A'B'C'. 
Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.

As can be see on the picture the dilation produce was an enlargement meaning that the image is larger that the preimage.
Of this form you can discard the choices A and B as possible solutions.

Lets try 5/2 as the possible scale factor:
(x,y)-- (kx, ky)
A(0,2)--(5/2(0),5/2(2))=A'(0,5)
B(2,2)--(5/2(2),5/2(2))=B'(5,5)
C(2,0)--(5/2(2),5/2(0))=C'(5,0)

Lets try 5/1 or 5 as the scale factor:
A(0,2)--(5(0),5(2))=A'(0,10)
B(2,2)--(5(2),5(2))=B'(10,10)
C(2,0)--(5(2),5(0))=C'(10,0)

As said at the beginning of the question the triangle was not only dilated.
After a dilation and a translation, the scale factor of the dilation is letter C or 5/2.  

3 0
2 years ago
Read 2 more answers
Hank invested a total of $20,000, part at 7% and part at 10%. How much did he invest at each rate if the total interest earned i
jolli1 [7]

Answer:

The amount invested at 7% is $12,000 while the amount invested at 10% is $8,000

Step-by-step explanation:

The given parameters are;

The total amount Hank invested = $20,000

The interest earned in one year = $1640

Hank invested part of the $20,000 at 7% interest and part of the $20,000 at 10%

Let the part invested at 7% = X and the part invested at 10% = Y, we have;

7% of X + 10% of Y = $1640 which gives;

0.07×X + 0.1×Y = $1640.....................(1)

X + Y = $20,000.................................(2)

Multiply equation (1) by 10 and subtract equation (1) from equation (2) to get;

X + Y - 10×(0.07×X + 0.1×Y) = $20,000 - 10×$1640

X - 0.7·X - Y - Y = $20,000 - $16,400 = $3,600

0.3·X = $3,600

X = $3,600/0.3 = $12,000

X = $12,000

Y = $20,000 - X = $20,000 - $12,000 = $8,000

Y = $8,000

Therefore, the amount invested at 7% = $12,000 and the amount invested at 10% = $8,000.

7 0
2 years ago
Read 2 more answers
Dori and Malory are tracking their steps taken as a health goal. Dori leaves her house at 12:00 p.m. and walks at 50 steps per m
gladu [14]
Let n = minutes since 12:00 pm when Malory catches up to Dori.

Dori travels
(50 steps/min)*(n minutes) = 50n steps

Malory begins walking at 12:20 pm, so she walks for (n - 20) minutes. She travels
(90 steps/min)*(n - 20  min) = 90n - 1800 steps

Equate the steps traveled by Dori and Malory.
90n - 1800 = 50n
40n = 1800
n = 45 min

The time corresponding to n = 45 min is 12:45 pm

Answer: 12:45 pm

7 0
2 years ago
Other questions:
  • Name two different numbers that round to 8.21 when rounded to the nearest hundredth
    8·2 answers
  • Wendy is paid $12 per hour and plans to work between 30 and 35 hours per week. Identify the independent and dependent quantity i
    6·2 answers
  • Starting from 300 feet away, a car drives toward you. It then passes by you at a speed of 48 feet per second. The distance dd (i
    15·2 answers
  • Simplify:
    10·1 answer
  • In a country where prices are rising quickly, bread that now costs $1.39 will cost 2.4 times as much next year. How much will th
    12·2 answers
  • The sum of two consecutive mile markers on the interstate is 561. Find the numbers on the markers.
    14·1 answer
  • As a promotion, the first 50 customers who entered a certain store at a mall were asked to choose from one of two discounts. The
    10·1 answer
  • What is the mode of the following numbers?<br> 67, 76, 67, 76, 67, 23, 32, 23, 32<br> 0
    13·1 answer
  • Rubi tosses a quarter off the Main Street bridge into the St. John’s River. The distance, in feet, the quarter is above the wate
    12·1 answer
  • Un consejo de estudiantes de un colegio de bachillerato tiene un representante de cada grado. Si cada uno de los miembros del co
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!