1 Apply Malcolm is making chicken rice soup. The recipe calls for 5 cups of chicken broth per cup of brown rice. How many cups of brown rice are needed for 20 cups of chicken broth? Explain how you know.
Answer:
you will need 4 cups of brown rice because it says per cup of brown rice
Step-by-step explanation:
ok so,
5 cups of chicken broth= 1 cup of brown rice
so if there's 20 cups of chicken broth, then:
20/5(since 5 equals 1 cup of brown rice)
=4 cups of brown rice
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their
meal costs $78.28 before the discount, and they leave a 20% tip. If the tip applies to
the cost of the meal before the discount, what is the total cost of the meal? Round
your intermediate calculations and answer to the nearest cent.
A particular lawn mower is on sale at two different stores. The original price at both stores was $130. Watson’s Garden Shop is advertising the mower for 50% off. Hartman’s Home Center reduced the mower 40%, and then took an additional 15% off the reduced price. Which lawn mower is the better deal?
Answer:
130$
Step-by-step explanation:
At the theater, the Garcia family bought 2 adult tickets and 3 children's tickets for $44.50. The Smith family bought 3 adult tickets and 6 children's tickets for $78. Find the price of an adult ticket and the price of a children's ticket.
Answer:
Adult= $11
Children = $7.5
Step-by-step explanation:
Let x represent adult ticket and y represent children ticket
2x + 3y= 44.50........equation 1
3x + 6y= 78........equation 2
From equation 1
2x + 3y= 44.50
2x= 44.50-3y
x= 44.50-3y/2
Substitute 44.50-3y/2 for x in equation 2
3x+ 6y= 78
3(44.50-3y/2) + 6y= 78
66.75- 4.5y +6y= 78
66.75 + 1.5y= 78
1.5y= 78-66.75
1.5y= 11.25
y= 11.25/1.5
y = 7.5
Substitute 7.5 for y in equation 1
2x + 3y = 44.50
2x + 3(7.5)= 44.50
2x + 22.5= 44.50
2x = 44.50-22.5
2x= 22
x= 22/2
x= 11
Hence the price of adult ticket is $11 and the price of children ticket is $7.5
Answer:
Answer:
Adult= $11
Children = $7.5
Step-by-step explanation:
Let x represent adult ticket and y represent children ticket
2x + 3y= 44.50........equation 1
3x + 6y= 78........equation 2
From equation 1
2x + 3y= 44.50
2x= 44.50-3y
x= 44.50-3y/2
Substitute 44.50-3y/2 for x in equation 2
3x+ 6y= 78
3(44.50-3y/2) + 6y= 78
66.75- 4.5y +6y= 78
66.75 + 1.5y= 78
1.5y= 78-66.75
1.5y= 11.25
y= 11.25/1.5
y = 7.5
Substitute 7.5 for y in equation 1
2x + 3y = 44.50
2x + 3(7.5)= 44.50
2x + 22.5= 44.50
2x = 44.50-22.5
2x= 22
x= 22/2
x= 11
Hence the price of adult ticket is $11 and the price of children ticket is $7.5
Step-by-step explanation:
A student solved z + (-0.72) = -2.5 for z using the
following steps.
Step 1: Z + (-0.72) + (-0.72) = -2.5+ (-0.72)
z = -2.5+ (-0.72)
Step 2:
Step 3:
z = -3.22
What was the student's error?
Answer:
Mistake in step1Step-by-step explanation:
Given
z + (-0.72) = -2.5Solving in steps
1. ⇒ z + (-0.72) - (-0.72) = -2.5 - (-0.72)2. ⇒ z = - (2.5 - 0.72)3. ⇒ z = - 1.78The student's mistake was adding (-0.72) instead of - (-0.72) or 0.72
Answer:
To solve, you must use the inverse operation. In step 1, -0.72 should have been subtracted from both sides, not added. Otherwise, 0.72 should have been added to both sides, not -0.72.
Step-by-step explanation:
round 91.273 to the nearest tenth pls :D
Answer:
91.3
Step-by-step explanation:
Answer: 91.3
Step-by-step explanation: 7 is greater than 5, so it is okay to change the 2 to a 3 with no digits remaining afterwards.
What is x?
3/6=5.5/x
Answer:
x = 11
Step-by-step explanation:
3/6=5.5/x
Cross multiply.
3 * x = 6 * 5.5
x = 2 * 5.5
x = 11
15. Write the first four terms of the sequence:
a. f(n) = −2[tex]n^{2}[/tex] + 4
b. f (1) = 7, f(n)= −4 ∙ f(n-1) − 1 + 15
Answer:
16 17
Step-by-step explanation:
A total of 54 adults and students show up for the play. Adult tickets cost $8 and kid tickets cost $5 and the total money collected
was $360. How many of each type of ticket were sold?
It’s using substitution or elimination to find the number of kids and adults. Really need help!!
9514 1404 393
Answer:
24 kids30 adultsStep-by-step explanation:
If find that "substitution" works well for "mixture" problems like this. Usually, you will want to substitute for the lower-priced item, so that you're solving for the number of higher-priced items.
Let "a" and "k" stand for the number of adult and kid tickets, respectively.
a + k = 54 . . . . . . total number of tickets sold
8a +5k = 360 . . . total revenue
__
To substitute for k, we solve the first equation for k:
k = 54 -a
Now, we substitute that into the second equation:
8a +5(54 -a) = 360
3a = 90 . . . . . . . . . . . subtract 270 from both sides; collect terms
a = 30 . . . . . . . . . . . . divide by 3
k = 54 -30 = 24 . . . . . use the above formula for k
The number of kids was 24; the number of adults was 30.
Rosalina is driving to visit her family which live 150 km away her average speed is 60 km/h the cars tank is 20 L of fuel at the beginning of the drive and its fuel efficiency is 6 km perL fuel cost $.60 per liter how long can Roselene drive before she runs out of fuel
Answer:
With the amount of fuel she has, she can drive 120 km which will take 2 hours.
Step-by-step explanation:
You need to figure out which information is necessary for this problem and which is not.
The fuel tank has 20 L.
The car drives 6 km per L.
20 L * 6 km/L = 120 km
She can drive 120 km with the amount of fuel she has.
She is driving at 60 km/h.
speed = distance/time
time * speed = distance
time = distance/speed
time = (120 km)/(60 km/h) = 2 hours
Answer: With the amount of fuel she has, she can drive 120 km which will take 2 hours.
what is the mass of a 7.91cm3 piece of lead having a density of 11.34g/cm
Answer:
89.6994g
Step-by-step explanation:
M = DV
= 11.34g/cm^3 * 7.91cm^3
= 89.6994g
Hope this helps!
61 divided by 3427?
Please help offering 15 points
What are the x- and y-intercepts of −3x + 5y = 15?
Answer:
x = -5 y = 3
Step-by-step explanation:
-3x + 5y = 15
cancel out the y
-3x + 5(0) = 15
-3x = 15
divide both sides by -3
x = -5
-3x + 5y = 15
cancel out the x
-3(0) + 5y = 15
5y = 15
divide both sides by 5
y = 3
Hope this helps!!
Solve the following problems. Remember that all reasoning must be explained, and all steps of math work must be shown!
Topic: Perpendicular to Chord Property
Answer to Question 1:
<OGE (also m˚) = 19˚
Step-by-step explanation:
We know that all the angles in a triangle add up to 180˚.
Given:
<EGO = 71˚
<OEG = 90˚ (the angle forms a right angle because line EG is perpendicular to point O)
To Solve:
⇒ Since we know two angles, we should know the third; and they all add up to 180˚. This can be written as:
71˚ + 90˚ + <OGE = 180˚
⇒ Solve for <OGE by simplifying:
161˚ + <OGE = 180˚
⇒ Subtract 161˚ from both sides to get:
161˚ − 161˚ + <OGE = 180˚ − 161˚
⇒ Isolate <OGE:
<OGE = 19˚
Answer: <OGE (also m˚) = 19˚
Answer:
<OAC (also x˚) = 50˚
<OCB (also y˚) = 90˚
Step-by-step explanation:
–How to solve for <OCB (also y˚)
Just by looking, you can already tell that <OCB equals 90˚ because it forms a right angle.
Answer: <OCB (also y˚) = 90˚
–How to solve for <OAC (also x˚)
Given (and what we can already know):
<AOC = 40˚
<OCA = 90˚
⇒ Reason: Line AB is a straight line and a straight line equals 180˚. We already know on side of the line because <OCB is 90˚, and so the other side, <OCA, should also be 90˚, since the both sides that make up the straight line equal 180˚ (90˚ + 90˚ = 180˚). You can also tell that <OCA forms a right angle in the triangle because line AB is perpendicular to point O, and right angles are 90˚.
To Solve:
⇒ Since we know two angles in the triangle, we should know the third; and they all add up to 180˚. This can be written as:
40˚ + 90˚ + <OAC = 180˚
⇒ Solve for <OAC by simplifying:
130˚ + <OAC = 180˚
⇒ Subtract 130˚ from both sides to get:
130˚ − 130˚ + <OAC = 180˚ − 130˚
⇒ Isolate <OAC:
<OAC = 50˚
Answer: <OAC (also x˚) = 50˚
I hope you understand and that this helps with your question! :)
A six controller thumb covers costs $2.10. At this rate, how much should 32 thumb covers cost? round to the nearest cent.
POSSIBLE POINT
Ms. Gomer-Weyh loves to ski! She joined a local ski club which is featuring a special $20 registration fee plus $30 per visit for up to 4 visits.
Write the equation and make a graph that models the situation.
Answer:
I can only make an equation
20+30(4)+y(z)=X
Step-by-step explanation:
SO we know the registration fee is 20 dollars so that can’t change
We know that its 30 dollars for up to 4 visits so 30*4
THe Y is for the amount it take to ski after the 4 times
The Z is for the amount of times you went after the 4 times
So yeah
Need help!!!!!! ASAP
Answer:
og
Step-by-step explanation:
Given an inequality, what strategies can we use to determine where the boundary line is? Explain your strategies in detail.
4x+3y≥12
Answer:
The strategy is to find the x and y intercept of the given equation
Step-by-step explanation:
4x+3y≥12
In order to determine where the boundary line, we need to first get the x and y-intercept of the inequality expression given;
x-intercept occurs at where y = 0
when y = 0
4x + 3(0)≥12
4x ≥12
x ≥12/4
x≥ 3
Also y intercept occurs at where x = 0
4x+3y≥12
4(0)+ 3y ≥12
3y≥12
y≥12/3
y≥4
Hence the intercept of the line is at (3, 4). A thick line will pass through this point and the upper part of the graph will be shaded. The strategy is to find the x and y intercept of the given equation
Will give the brainliest to the person who answers the question first and correctly!!
For the data set 4, 5, 10, 11, 15, the mean, x, is 9. What is the standard deviation?
Round to the nearest tenth.
A. 4.1
B. 20.5
C. 16.4
D. 4.5
Answer:
D. 4.5
Step-by-step explanation:
i need help on how to find m and b
Answer:
y = [tex]-\frac{1}{2}x+3[/tex]
Step-by-step explanation:
Slope of line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is give by,
Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through the points (0, 3) and (2, 2),
m = [tex]\frac{3-2}{0-2}[/tex] = [tex]-\frac{1}{2}[/tex]
Y-intercept 'b' of the given line in the graph is (3).
Since, equation of line with slope 'm' and y-intercept 'b' is,
y = mx + b
Therefore,equation of the line given in graph will be,
y = [tex]-\frac{1}{2}x+3[/tex]
Paula wants to buy 3 shirts and 2 belts. The shirts cost $16.89 each, and the belts cost $8.97 each. Paula has $45. Which of these amounts is the best estimate of how much more money Paula needs in order to buy the shirts and belts? A) $16 B) $10 C) $24 D) $5
if abcd is dilated by a factor of 1/3 the coordinate of A would be?
Answer:
A' = (-1, -1)
Step-by-step explanation:
Rule for the dilation of any point A(x, y) about the origin by a factor of k is given by the rule,
A(x, y) → A'(kx, ky)
From the graph attached,
Coordinates of point A are (-3, -3) and it is dilated by a scale factor of [tex]\frac{1}{3}[/tex] about the origin then the coordinates of the image point A' will be,
A(-3, -3) → [tex]A'(-3\times \frac{1}{3},-3\times \frac{1}{3})[/tex]
→ A'(-1. -1)
Therefore, coordinates of A' = (-1, -1) is the answer.
need answer fast
in a wood there are oak trees and beech trees in the ratio 2:9 if there is 42 oak trees how many beech trees are there
Answer to the problem: 189 beech trees
If 3 tan A =cot A and A is an acute angle find angle A
Please, I need detailed explaination
Answer:
A is 30 degrees.
Step-by-step explanation:
cot A = 1/ tan A
Therefore 3 tan A = 1 / tan A
3 tan^2 A = 1
tan^2 A = 1/3
tan A = 1 /√3 is A is acute.
A = 30 degrees.
This is about trigonometric identities.
A = 30°
In trigonometric identities, we know that;Tan A = sin A/cos A
Cosec A = 1/sin A
Sec A = 1/cos A
Cot A = 1/tan A
Now, we are given;3 tan A = cot A
But we know from above that Cot A = 1/tan A
Thus;
3 tan A = 1/tan A
Rearranging to get;
(tan A)² = 1/3
tan A = √(1/3)
tan A = 1/√3
Now, from surd form of special angles, we know that;sin 30° = cos 60° = 1/2
sin 60° = cos 60° = (√3)/2
sin 45° = cos 45° = 1/√2
tan 30° = 1/√3
tan 60° = √3
tan 45° = 1
Comparing tan A = 1/√3 with the surd forms listed above, we can see that;A = 30°
A is said to be an acute angle which means it is less than 90° and so it is correct.
Read more at; https://brainly.com/question/24836845
I need help immidiatly plz.
We know that 15 elves represent the 20% of the total.
Since 20% is one-fifth, the total number of elves is
[tex]15\cdot 5 = 75[/tex]
Alternatively, solve the proportion
[tex]15\div x = 20\div 100[/tex]
which yields
[tex]x=\dfrac{1500}{20}=75[/tex]
Which graph represents the inequality? 2x+y>4
m=-2
b=4
Slope=-2x+4
y<-2x+4
i need heeeeeeeeeeelllllllllllllppppppppppp!?!
Answer:
I cant give you an answer but hints:
First you gotta know the angles of the triangle
then how many are there
then those lines in the middle is dividing lines so
right angles are 90 degrees
I would go for B then.
if not I'm sorry
Which number line correctly shows 4.5 - 2.5?
05
15 2
25
13
36
35
o
4:
35
3
05
0
251
15
053 65
15
26
3 35
+
15
K
-635-25.-2-15--050 051 522.5
Answer:
i can't make the line becaause of mobile problem but i have maked a table please compromis
Step-by-step explanation:
Table 1
Marks Frequency Cumulative Frequency
0-10 2 2
10-20 8 10
20-30 12 22
30-40 18 40
40-50 28 68
50-60 22 90
60-70
70-80 6
4 96
100
Table 2
Class (marks ) Frequency
11-15 2
16-20 3
21-25 3
26-30 5
31-35 6
36-40 6
41-45 3
46-50 2
Total 30
Table 3
Time (in min) Frequency
15 7
20 15
25 17
30 3
35 14
40 2
Table 4
31 42 49 25 29
40 36 24 29 30
40 46 38 34 26
24 22 39 40 21
A car travels at a constant speed of 45 km per hour for 5 min each wheel has a radius of 25 centimeters calculate the number of complete revolutions that the wheel makes in 5 min
Answer:
477.47 revolutions
Step-by-step explanation:
From the information given:
The formula for calculating the circumference = 2π r
Given that the radius of each wheel = 25 centimeter
Then, the circumference = 2 π (25)
= 50π cm
The distance traveled in 5 minutes is as follows:
Given that:
The speed = 45 km/ hour
i.e.
1 hour = 45 km
In an hour, we have 60 minutes
So, 60 minutes = 45 km
1 minute = 45/60 = 0.75 km
To cm;
0.75 km = (0.75 × 1000) m = 750 m
750 m = 750 × 100 = 75,000 cm
∴
The number of revolution in 5 minutes sInce 1 revolution = 50π cm is:
= 75,000 cm/ 50π cm
= 477.47 revolutions in 5 minutes
