Answer:
Part A: Choice 3) Reasonable. The grapes and apples is about 2 cups and pears and oranges is exactly 3 cups.
Part B: Exactly 4 11/12 cups
almost equal to 5 cups
Step-by-step explanation:
The missing part of the question is :
2 1/2 cups of pears. 2/3 cup of grapes 1 1/4 cups of apples 1/2 of orange slices .
Pears + apples
2 1/2+1 1/4 =
5/2 + 5/4
= 10+5/4
= 15/4
= 3 3/4 cups
Reasonable. The pears and apples is about 3 cups and the grapes
and oranges is exactly 2 cups. This statement is wrong.
Grapes and oranges
2/3 + 1/2
= 4+3/6
=7/6
=1 1/6 cups
grapes and apples
2/3 cup of grapes 1 1/4 cups of apples
2/3 + 5/4
= 8+15/12
= 23/12
= 1 11/12 cups
pears and oranges
2 1/2 cups +1/2 of orange slices
3 cups
Reasonable. The grapes and apples is about 2 cups and pears and
oranges is exactly 3 cups. this statement is true as shown above.
N.B the answer may vary due to the different measurements given in the missing part of the question.
Part B:
grapes and apples + pears and oranges
1 11/12 cups +3 cups
= 23/12+ 36/12
= 59/12
= 4 11/12 cups
WORTH 35 POINTS!!! Annie’s dad travels for business. On Monday, he drives for 4 hr. at a constant rate of 55 mph to meet with a customer. On Tuesday, he drives 3 hr. at a constant rate of 50 mph to meet with his district sales manager. On Wednesday, he drives 2 hr. at a constant rate of 60 mph to pick up supplies at the warehouse. How many miles does Annie’s dad drive total before he heads for home?
A. 120 mi.
B. 150 mi.
C. 220 mi.
D. 490 mi.
Answer:
220mi
Step-by-step explanation:
Annie's dad drove a total of 490 miles before heading home. The correct option is D.
What is the distance?Distance is defined as the product of speed and time.
We can use the formula distance = rate x time to calculate the distance for each day.
On Monday, he drove for 4 hours at 55 mph, so the distance he traveled was:
distance = 55 mph x 4 hours = 220 miles
On Tuesday, he drove for 3 hours at 50 mph, so the distance he traveled was:
distance = 50 mph x 3 hours = 150 miles
On Wednesday, he drove for 2 hours at 60 mph, so the distance he traveled was:
distance = 60 mph x 2 hours = 120 miles
To find the total distance, we can add up the distances for each day:
220 miles + 150 miles + 120 miles = 490 miles
Therefore, Annie's dad drove a total of 490 miles before heading home.
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what is the solution to the system of equations?
3x - 6y = -12
2x - 4y = -16
please help!!
Solve for x
This is also an octagon if it helps!
Answer:
x = 10
Step-by-step explanation:
it has 8 sides so:
total interior angle degrees = (180° x 8 sides) - 360° = 1080°
11x + 14 + 4x + 87 +2x + 70 + 4x + 31 + x + 92 + 3x + 167 + 5x + 48 + 2x + 251 = 1080°
combine like terms:
32x + 760° = 1080°
subtract 760° from both sides of the equation:
32x = 320°
divide both sides by 32:
x = 10
Which is the equation of the line that passes through the points (4, 3) and (6, 2)?
Answer:
answer is c hope this helps
Step-by-step explanation:
Plz show work thanks
Answer:
1/sec x- tan x
Step-by-step explanation:
sec x+ tan x
= sec x+ tan x) (sec x - tan x)/(sec x , tan x)
=sec^2x-tan^2x)(sec x- tan x)
(sec^2x-tan^2x=1)
=1/sec x- tan x
are 12(x-12) and 12x-24 equivalent
also
are 7+3(5d-2) and 13 + 15d equivalent
Answer:
1. Yes they are
2. No they are not
hope this helps :)
Step-by-step explanation:
PLEASE HELP
Which element should you not include in a summary for a book review?
a brief description of setting
the story's ending
explanation of theme
how the main conflict is resolved
A factory worker finds 26 products are defective out of a random sample of 400
products. Based on the results, about how many of the 56,000 products produced this
month can be expected to be defective?
Answer: 36,400
Step-by-step explanation:
Answer:
Step-by-step explanation:
36,400
−4.5=−0.5(x−7.1)
solve for x and teach me how to give brainliest
Can someone provide some assistance.
Answer:
m<E=120°
m<T=60°
Step-by-step explanation:
10m+4m+12=180
14m=168
m=12
m<E=10m=10(12)=120
m<T=4m+12=4(12)+12=48+12=60
Answer:
Solution given:
10m+4m+12=180°[sum of opposite angle of cyclic quadrilateral is supplementary]
14m=180-12
m=168/14=12
m<E=10×12=120°
m<T=4×12+12=60°
jacob has 10p 20 p and 50 p coins one quater of the coins
is 50 p with a total of 3.00 the ratio of 10 p to 20p is 2 : 7 how much money does jacob have
Let x = number of 20p coins
10+50+20x=200 10p + 50p + x(20p) = 200p (100p=1 pound)
60 + 20x = 200
subtract 60 from each side
20x=140
divide both sides by 20
x=140/20=14/2=7
x=7 James has 7 20p coins
Which number line represents the solution of 5X < 30
Answer:
Step-by-step explanation:
Answer:
BRO, where are the number lines, can't help you if you dont put the number lines
3) Jacob has 4 granola bars. He cuts them into pieces that are 1/3 of a bar each. After he cuts the 4 bars, how many pieces does Jacob have?
Answer:
12
Step-by-step explanation:
if each bar is cut into 3 pieces, then we multiply 4 by 3 to get 12.
After he cuts the 4 bars, there are 12 pieces Jacob have.
What is division?Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.
Jacob has 4 granola bars.
He cuts them into pieces that are 1/3 of a bar each.
After he cuts the 4 bars.
After he cuts the 4 bars, how many pieces Jacob has is determined in the following steps given below.
[tex]\rm = \dfrac{Total \ granola \ bars}{Cut \ pieces}\\\\= \dfrac{4}{\dfrac{1}{3}}\\\\=\dfrac{4}{0.33}\\\\= 12.12\\\\= 12 \ apporx[/tex]
Hence, After he cuts the 4 bars, there are 12 pieces does Jacob have.
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According to this diagram, what is cos 28°? 62° 17 8 28° 90° 15 O A. 17 15 O B. 8 17 O c. 15 17 O D. O E. 8 15 15 OF.
Answer:
C. [tex] Cos(28) = \frac{15}{17} [/tex]
Step-by-step explanation:
Recall: SOHCAHTOA
Thus,
[tex] Cos(\theta) = \frac{Adjacent}{Hypotenuse} [/tex]
Reference angle = 28°
Adjacent = 15
Hypotenuse = 17
Plug in the values
[tex] Cos(28) = \frac{15}{17} [/tex]
Can someone please help me
What is the Total number of Outcomes for a family of 3 with having boys and girls?
There are 8 possible outcomes, all equally likely (if we assume each gender is equally likely). Hence the choice is 3/8. We can also think about it in at least one more way: You identified all the possible ways to get 2 boys and one girl.
Pls help no links pls pls pls
Answer:
x=20
it told me the answer is too short but that answer is right
What is 1/5 x 2 multiplying fractions with whole numbers
Answer: 0.4
Have a nice day!
Answer:
0.4 or 2/5
Step-by-step explanation:
You can solve this question by doing [tex]\frac{1}{5}[/tex] x [tex]\frac{2}{1}[/tex] to get the answer of [tex]\frac{2}{5}[/tex] or 0.4.
I got 30 will someone double check me please.
Answer:
yeah its 30
hdkqksbdkwlqmvwksl
Renata and her family go through an average of more than 15 cans of sparkling water each day. They buy cases of 24 cans at $3.50 a case. Write an inequality for the number of cases they go through in 30 days.
Answer: The inequality required to express the above condition is x ≥ 18.75
Step-by-step explanation:Renata and her family go through an average of more than 15 cans of sparkling water each day.
The number of cases of 24 cans of sparkling water.
We can take the number of cases to be x.
Each case is said to cost $3.50.
An inequality for the number of cases that Renata's family go through in 24 days can be written as
x ≥ ⇒ x ≥ ⇒ x ≥ 18.75
Therefore the inequality required to express the above condition is
x ≥ 18.75
I need help :( on math and I forgot to study!:
When is the additive relationship used? Select all that apply.
1.When subtracting the same amount to an x-value.
2.When dividing the same amount to an x-value.
3.When multiplying the same amount to an x-value.
4.When adding the same amount to an x-value.
Answer:
3 and 4
Step-by-step explanation:
Answer:
1st and last one just did the question and it was right
Find the missing side lengths of the triangle below
Answer:
90 degrees
Step-by-step explanation:
What is the value of the expression
401P + q?), when p = 49 and q = -2?
O A) 12
OB) 20
OC) 36
OD) 44
First person to answer will get 10 points :D
Express each decimal to fraction 106.28
Answer:
2657/25
Step-by-step explanation:
You and a friend were invited to a party you both were asked to bring pizzas and chips
What is the full question!?
Answer:
Then if each would bring 1 of each so there would be 2 pizzas and 2 bag of chips
Step-by-step explanation:
lol id.k/ if this was supposed to be a joke but here I am ◑﹏◐
What is the difference between (1, 3) and (13, 8) on the coordinate plane?
Answer:
from (1,3) 10 units to the right and 5 units up
Step-by-step explanation:
Felix and Jose go to lunch at Buffalo Wild Wings. Their meals total $28.00. Tax is 6%.
a. What is the total cost of food and tip?
b. Felix and Jose want to leave a 20% tip based on the cost before tax. How much should they leave?
Help pls
Answer:
A, Total cost with tax; $29.68
B, Total cost of tip; $5.60
Step-by-step explanation:
28 x .2, accounting for the tip, is 5.6, aka $5.60. 28 x .06, accounting for the tax, is 1.68. Adding the original amount, the tax, and the tip, we are left with $35.28 in total after they have paid both the tax and the tip.
Hope this helps!
Which statement best describes g(x) = 3 x + 6 - 8 and the parent function f(x) = 3x ?
The domains of g(x) and f(x) are the same, but their ranges are not the same.
The ranges of g(x) and f(x) are the same, but their domains are not the same.
The ranges of g(x) and f(x) are the same, and their domains are also the same.
The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.
Answer:
The answer is C: the ranges of g(x) and f(x) are the same, and their domains are also the same.
Step-by-step explanation:
Just took the test on edge!! :)
Option C The ranges of g(x) and f(x) are the same, and their domains are also the same is correct.
What is domain?
List of values of x an equation can satisfy is called Domain.
What is range?
List of values y the function can generate is called range
For example, f(x)=x
it can satisfy real domain i.e. x∈R
and range is R
g(x) = 3 x + 6 - 8 and f(x) = 3x
Domain for both the function is R
Both the function can satisfy all the real numbers, so its range is also R.
Therefore,Option C The ranges of g(x) and f(x) are the same, and their domains are also the same is correct.
Learn more about domain and range,
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The bar graph shows the height of a plant each month for four months. Your friend concludes that the height of the plant in Month 4 is 3
times its height in Month 1. Is this conclusion accurate? Explain.
Answer:
I can't see the pic or I can't answer sorry
Step-by-step explanation:
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? a. More than 59 pounds b. More than 56 pounds c. Between 56 and 57 pounds d. Less than 53 pounds e. Less than 49 pounds *Round the values of z to 2 decimal places. Round your answer to 4 decimal places, the tolerance is +/-0.0001. **Round the values of z to 2 decimal places. Round your answer to 4 decimal places. a. * b. * c. * d. * e. **
Answer:
a. 0.1038 = 10.38% probability that the sample mean is more than 59 pounds.
b. 0.6772 = 67.72% probability that the sample mean is more than 56 pounds.
c. 0.2210 = 22.10% probability that the sample mean is between 56 and 57 pounds.
d. 0.0146 = 1.46% probability that the sample mean is less than 53 pounds.
e. 0% probability that the sample mean is less than 49 pounds.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. The population standard deviation of annual usage is 12.3 pounds.
This means that [tex]\mu = 56.8, \sigma = 12.3[/tex]
Sample of 50:
This means that [tex]n = 50, s = \frac{12.3}{\sqrt{50}} = 1.74[/tex]
a. More than 59 pounds
This is 1 subtracted by the pvalue of Z when X = 59.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{59 - 56.8}{1.74}[/tex]
[tex]Z = 1.26[/tex]
[tex]Z = 1.26[/tex] has a pvalue of 0.8962
1 - 0.8962 = 0.1038
0.1038 = 10.38% probability that the sample mean is more than 59 pounds.
b. More than 56 pounds
This is 1 subtracted by the pvalue of Z when X = 56. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{56 - 56.8}{1.74}[/tex]
[tex]Z = -0.46[/tex]
[tex]Z = -0.46[/tex] has a pvalue of 0.3228
1 - 0.3228 = 0.6772
0.6772 = 67.72% probability that the sample mean is more than 56 pounds.
c. Between 56 and 57 pounds
This is the pvalue of Z when X = 57 subtracted by the pvalue of Z when X = 56.
X = 57
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{57 - 56.8}{1.74}[/tex]
[tex]Z = 0.11[/tex]
[tex]Z = 0.11[/tex] has a pvalue of 0.5438
X = 56
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{56 - 56.8}{1.74}[/tex]
[tex]Z = -0.46[/tex]
[tex]Z = -0.46[/tex] has a pvalue of 0.3228
0.5438 - 0.3228 = 0.2210
0.2210 = 22.10% probability that the sample mean is between 56 and 57 pounds.
d. Less than 53 pounds
This is the pvalue of Z when X = 53.
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{53 - 56.8}{1.74}[/tex]
[tex]Z = -2.18[/tex]
[tex]Z = -2.18[/tex] has a pvalue of 0.0146
0.0146 = 1.46% probability that the sample mean is less than 53 pounds.
e. Less than 49 pounds
This is the pvalue of Z when X = 49.
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{49 - 56.8}{1.74}[/tex]
[tex]Z = -4.48[/tex]
[tex]Z = -4.48[/tex] has a pvalue of 0
0% probability that the sample mean is less than 49 pounds.