Cesar has 32 boxes of pasta and 48 jars of sauce that he will be putting into bags for a food drive. He wants each bag to have the same amount of pasta and sauce and wants to use all of the items. Use the drop-down menus to complete the statements below about the number of bags Cesar can make.
What is the greatest number of bags Cesar can make and Each bag would have _____ pasta and _____ jars of sauce
Answer:
The greatest number of bags Cesar can make is 16 bags.
Each bag would have 2 pasta and 3 of jars of sauce
Step-by-step explanation:
We solve the above question using Greatest Common Factor method
The factors of 32 are: 1, 2, 4, 8, 16, 32
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Then the greatest common factor is 16.
Hence, the greatest number of bags Cesar can make is 16 bags.
For Pasta, We have 32 pasta
Each bag would have: 32/16
= 2 pasta
For Jars of sauce, we have 48 jars of sauce.= 48/16
= 3 jars of sauce
Which is the constant of proportionality for the relationship shown in the graph?
PLEASE HELPP! Any help will be greatly appreciated
Step-by-step explanation:
The constant of proportionality is y / x = 4 / 2 = 8 / 4 = 2.
Answer:
The constant of proportionality is y / x = 4 / 2 = 8 / 4 = 2.
Step-by-step explanation:
Hope this helped have an amazing day!
Write an equation in standard form for the line that passes through the given points.
(-2-3) (4-7)
Answer: -3 is the answer!
Step-by-step explanation:
Sorry if it's a bad picture I just need help asap
Answer:
y=9
Step-by-step explanation:
they grow together by the same amount
Answer:
27/2...or 13.5 as a decimal
Step-by-step explanation:
the ratio of y and x is y/x or, 9/2 with 9 being the y and 2 being the x
the X changed to 3, so y/3 is the new ratio. Since we have another ratio, we can compare them to get the y
the equation : 9/2=y/3--2x=27--
x=27/2
6x - 5 = 5x + 3
If you get it right you get brainest
Answer:
x = 8
Step-by-step explanation:
6x - 5 = 5x + 3
6x - 5x = 3 + 5 (combining like-terms)
x = 8
Hope this helps!
please help with al parts! I will give brainliest to smartest answer!
Answer:
A: 428.75/ 24.5 = $17.50 per sq foot
B: 62.50*24.50 = $1,531.25
C: 428.75 + 1,531.25 + 137.50 = $2,097.50 for the total replacement
Step-by-step explanation:
Over 5 hours, a bakery uses 45 sticks of butter. How
many sticks of butter will the bakery use in 4 hours?
Solve using unit rates.
Answer:
36 sticks
Step-by-step explanation:
if they use 45 in 5 hours do 45÷5=9
9×4=36
In the diagram below, triangle ABC is drawn with altitude BD. If AD = 30 and AC = 36, determine the length of AB rounded to the nearest tenth.
9514 1404 393
Answer:
32.9
Step-by-step explanation:
The ratio of long side to hypotenuse is the same for all of the triangles in the figure.
AD/AB = AB/AC
AB^2 = AD·AC = 30·36
AB = 6√30 ≈ 32.863
To the nearest tenth, AB ≈ 32.9.
4х – у = 5
3х + y = 9
Simplify the following expressions
a. 2/5- 1/6 b. 3/7-7/14 c. 5/8- 2/3
[tex] \ \sqrt{348} [/tex]
Answer:
explanation:
√348 =
18.6547581062
Please help me ASAP before report cards thank you
If f(x) =x/2 +8, what is f(x) when x = 10?
O 4
O9
O 13
O 36
Which of the statements is true
a. v7 is an integer
C. V25 is a rational number
b. V16 is an irrational number
d. 190 is neither rational nor irrational number
Answer:
The only valid choice is c.
Step-by-step explanation:
Rational Numbers
Rational numbers have the form a/b, where a and b are integers and b is not zero.
In other words, rationals are all numbers that can be written as a fraction.
Examples are -3/7, 11/2, 5, 0
Note the last two numbers are integers, but they are also rationals because an integer can be expressed as a fraction with a denominator of 1.
Irrational numbers are the opposite, they cannot be expressed as a fraction.
a. [tex]\sqrt{7}[/tex] is not an integer since it's irrational. False
c. [tex]\sqrt{25}[/tex] = 5 or -5. It is a rational number because it's an integer. True
b. [tex]\sqrt{16}[/tex] = 4 or -4. It is not an irrational number because it's an integer. False
d. 190 is a rational number. False
The only valid choice is c.
Which equation is equivalent to 9x+4y=16
Answer:
8x time 2x= 16
Pic’n’mix sweets cost 56p per quarter. How much would 9 ounces cost? (There are 4 ounces in a quarter.)
Answer:
126p
Step-by-step explanation:
56 divided by 4 = 14p per ounce
14 x 9 = 126p per 9 oz.
can someone asnwer this please ;-;
In ΔJKL, \overline{JL}
JL
is extended through point L to point M, \text{m}\angle KLM = (7x+3)^{\circ}m∠KLM=(7x+3)
∘
, \text{m}\angle LJK = (2x+12)^{\circ}m∠LJK=(2x+12)
∘
, and \text{m}\angle JKL = (3x+7)^{\circ}m∠JKL=(3x+7)
∘
. Find \text{m}\angle LJK.m∠LJK
Answer:ok
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
1 of 6
© As an estimation we are told 5 miles is 8 km.
Convert 25.9 miles to km.
Answer:
41.68201 km=25.9 miles
Step-by-step explanation:
Answer:
Step-by-step explanation:
5m=8k
25.9m = ?k
25.9/5 = 5.18
5.18 X 9 = 46.62
Therefore 25.9 miles is 46.62 km
Jeremy drinks 6 1/2 cups of milk each day. If he has x cups of milk now, how much milk will he have in 3 days? Explain why you choose your answer
a. 3x * 6 1/2
b. x - 3 - 6.5
c. x + 3(-6.5)
d. 3(- 6 1/2) ÷ x
A
Step-by-step explanation:
cause he drinks 61/2 m8lk per day
Each week Josie's mother pays her an allowance to mow and water their front yard. Her mother pays her twice as much to mow the yard as she does to water the yard. She gets a total of $45.00 each week. How much does Josie's mother pay her to mow the front yard? Write an equation and solve the equation.
Answer: $30
Step-by-step explanation:
Let the amount paid to water the yard be represented by x.
Since her mother pays her twice as much to mow the yard as she does to water the yard. Therefore, the amount to mow the yard would be 2x.
Therefore,
2x + x = $45
3x = $45
x = $15
The amount to mow the front yard would be:
= $15 × 2
= $30
help help help help help help help help help
Answer:
x=3√5
Step-by-step explanation:
This is a right angle triangle
So the equation is
2²+x²=7²
x=√7²-2²
x=3√5
Answer:
x=3√5
Step-by-step explanation:
Given: x + 2 <-5.
Choose the solution set.
OXIXER,<-7)
OXIXERX <-3)
OxIXER X<3)
OXIXER X<7)
Answer:
The solution set is {x : x ∈ R, x < -7} ⇒ A
Step-by-step explanation:
The solution set of the inequality x > a is {x : x ∈ R, x > a}The solution set of the inequality x < a is {x : x ∈ R, x < a}The solution set of the inequality x ≥ a is {x : x ∈ R, x ≥ a}The solution set of the inequality x ≤ a is {x : x ∈ R, x ≤ a}Let us solve the question
∵ x + 2 < -5
→ Subtract 2 from both sides of the inequality
∴ x + 2 - 2 < -5 - 2
∴ x + 0 < -7
∴ x < -7
→ By using the second rule above
∴ The solution set is {x : x ∈ R, x < -7}
what is my answer for this question?
1/3 + 1/4
Answer:
7 / 12 is the answer
hope this answer will help you
NEED HELP ASAP!!!!OFFERING BRAINIEST!!!
Answer:
4
Step-by-step explanation:
PLS HELP ALBEBRA 1 IN NEED OF ASSISTANCE SOLVE THIS RATIONAL EQUATION
Answer:
x=3
Step-by-step explanation:
Since both denominators are the same, you can cancel them out.
Now all you have to solve is 4x-1=11 which means x=3
Write a fraction that is equivalent to 3/4 with a denominator of 20
Answer:
15/20
Step-by-step explanation:
1. Take the denominator of 3/4 and multiply it by 5 because that is what it takes to get 20 from 4.
4 x 5 = 20.
2. Multiply the numerator by 5 as well.
15/20
Answer:
3 / 4 = 15 / 20
Step-by-step explanation:
I think thats right
How do you find the slope of a line in a graph?
Help me please
[tex]slope = \tan(angle \: made \: by \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: line \: with \: x \: axis) [/tex]
[tex]or \: [/tex]
[tex] = \frac{y1 - y2}{x1 - x1} [/tex]
Write y2 in isolated
form.
19x2 + 4y2 = 25
Which unit rate is equivalent to 13 miles per gallon? 1) 26 miles 2 galons 2) 2 gallons 26 miles 3) 39 miles 4 gallons 4) 4 gallons 4 39 miles please answer fast!
Answer:
1)
Step-by-step explanation:
We just need to find a rate where the ratio of miles to gallons is 13:1
This only works for 1) 26 miles 2 gallons since 26/2 = 13/1
Answer:
I think it would be the first one. 26 miles 2 gallons
Step-by-step explanation:
Every gallon would be 13 miles. If you multiply 13 by 2 and 1 gallon by 2, you'll get 26 miles 2 gallons.
Tom is buying topsoil for the flower bed shown below. One bag of topsoil covers 151515 square meters. How many bags of topsoil does Tom need to cover his flower bed?
Answer:
2 bags of topsoil.
Step-by-step explanation:
The attached figure shows a flower bed.
One bag of topsoil covers 15 square meters.
We need to find how many bags of topsoil does Tom need to cover his flower bed.
The area of the flower bed is :
[tex]A=\dfrac{1}{2}\times 12\times 5\\\\=30\ m^2[/tex]
Let he has to cover x bags of topsoil. So,
x = Area of flower bed/Area of 1 bag of top soil
x = 30/15
x = 2
Hence, he will need 2 bags of topsoil to cover his flower bed.
From a point 300 feet above ground in a firetower, a ranger spots two fires in the George Washington National forest. The angle of depression made by the line of sight from the ranger to the first fire is 3oand the angle of depression made by the line of sight from the ranger tothe second fire is 2o. The angle formed by the two lines of sight is 0117. Find the approximate distance between the two fires.
Answer:
The answer is "[tex]\bold{17456.6 \ ft}[/tex]"
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\sin \theta = \frac{P}{h}\\\\\to BC =x\\\\\to BD =y\\\\[/tex]
The height of tower (AB) = 300 ft
Distance = CD
[tex]\Delta ABC \\\\\sin \theta = \frac{AB}{AC}\\\\\sin (2.5) = \frac{300}{AC}\\\\Ac= \frac{300}{\sin (2.5)}\\\\AC= 6877.68 \\\\\Delta ABD \\\\\sin \theta = \frac{AB}{AD}\\\\\sin (1.3) = \frac{300}{AD}\\\\AD= \frac{300}{\sin (1.3)}\\\\AC= 1322.33[/tex]
calculating CD :
[tex]CD^2 = AC^2 +AD^2 -2\cdot AC \cdot AD \cdot \cos(117^{\circ}) \\\\CD = \sqrt{(6877.68)^2 +(13223.23)^2 -2\cdot (6877.68) \cdot (13223.23) \cdot \cos(117^{\circ})}\\\\CD =\sqrt{47302482.1824 + 174853811.6329 - 82576463.207}\\\\CD= \sqrt{304732757.02}\\\\CD= 17456.6 \ ft[/tex]