Answer:
here.
3/4x−4−5/8x=−3
or, 3/4x−5/8x=−3+4
or, 3/4x−5/8x=1
or, 3*2/2*(4x)-5/8x=1
or,6/8x-5/8x=1
or,(6-5)/8x=1
or,1/8x=1
or,1=8x
or,x=1/8
2. An RC car sold for $58.85. This
amount includes a sales tax of 7%.
What was the cost of the RC car
before tax?
Answer:
47
Step-by-step explanation:
solve the modulus equations below. (a) |2x+3|=6. (b) |x-2|=x+4. (c) |2x-7|=|x+3|
Answer:
(a) x=1.5 or x=-4.5
(b) x=-1
(c) x=10 or [tex]x=\frac{4}{3}[/tex]
Step-by-step explanation:
(a) |2x+3|=6
⇒ 2x+3=6 or 2x+3=-6
⇒ 2x=3 or 2x=-9
⇒ x=1.5 or x=-4.5
(b) |x-2|=x+4
⇒ x-2=x+4 or x-2=-(x+4)
x-2=x+4
-2≠4 x∈Ф
or x-2=-(x+4)
x-2=-x-4
2x=-2
x=-1
(c) |2x-7|=|x+3|
⇒ 2x-7=x+3 or 2x-7=-(x+3)
2x-7=x+3
x=10
or 2x-7=-(x+3)
2x-7=-x-3
3x=4
[tex]x=\frac{4}{3}[/tex]
The solutions of modulus equations are shown below:
(a) x=1.5 or x=-4.5
(b) x=-1
(c) x=10 or x=4/3
Step-by-step explanation:
(a) |2x+3|=6
⇒ 2x+3=6 or 2x+3=-6
⇒ 2x=3 or 2x=-9
⇒ x=1.5 or x=-4.5
(b) |x-2|=x+4
⇒ x-2=x+4 or x-2=-(x+4)
⇒x-2=x+4
⇒-2≠4 x∈Ф
or x-2=-(x+4)
⇒x-2=-x-4
⇒2x=-2
⇒x=-1
(c) |2x-7|=|x+3|
⇒ 2x-7=x+3 or 2x-7=-(x+3)
⇒2x-7=x+3
⇒x=10
or 2x-7=-(x+3)
⇒2x-7=-x-3
⇒3x=4
⇒x=4/3
Therefore, the solution of modulus equation are as:
(a) x=1.5 or x=-4.5
(b) x=-1
(c) x=10 or x=4/3
To learn more about "Modulus function" here:
brainly.com/question/13586158
What is the solution to 9 x 9?
Answer:
81
Step-by-step explanation:
dude, it's one of the fast facts
Answer:
81
Step-by-step explanation:
We can round one of the 9's to ten then multiply it
9*10=90
then subtract the 9 that we added
90-9=81
The ratio below shows the relationship between the weight of apples purchased and the total cost of the apples. 1 lb = $2 / 4 lb = $8 / 6 lb = $12 / 10 lb = $20 When the weight of apples is increased by a factor of 4, by what factor does the total cost increase? *
Mark only one oval.
A. 4
B. 3
C. 6
D. 8
Answer:
D
Step-by-step explanation:
gallon of
2
17. Mr. Jackson owns a vegetable juice stand. At the end of the day, he has
juice left. He pours an equal amount of the remaining juice mixture into 6 glasses.
What amount of juice does Mr. Jackson pour into each glass?
1
A.
gallon
12
B.
1
3
gallon
C. 3 gallons
D. 12 gallons
Answer:
12 gallons
Step-by-step explanation:
Jackson wants to form a rectangular pen with 420 ft. of fencing. What should the dimensions be to provide the maximum area?
Solve each inequality. Then check each number that is a solution
I Don't know how to solve this. as nothing has helped so far.
Answer:
3, 6, 4, 5
Step-by-step explanation:
First of all we have to multiply 2 by 2x and -9 and we obtain
4x -18 ≤ 6
now we have to move -18 on the right side of the minor or equal and change its sign
4x ≤ 6 + 18
now we have to added up 6 and 18
4x ≤ 24
At least we have to divide the the two members by 4
x ≤ 6
We have to find the numbers ≤ 6
so the answer is : 3, 6, 4, 5
Answer:
click on 3,6,4,5 are less than or equal to 6
Step-by-step explanation:
2(2×3-9)= -6
2(2×6-9)= 6
2(2×4-9)= -2
2(2×5-9)= 2
2(2×7-9)= 10
A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100. You scored a 625. Calculate your z-score to the nearest hundredth (i.e. 2 decimal places).
z=
Answer: The required z-score = 1.25
Step-by-step explanation:
Let x be a random variable that denotes the scores in the exam.
The formula for z-score = [tex]\dfrac{X-\text{mean}}{\text{standard deviation}}[/tex]
As per given, we have
X= 625, mean=500, standard deviation = 100
Z-score = [tex]\dfrac{625-500}{100}[/tex]
i.e. Z-score = [tex]\dfrac{125}{100}[/tex]
i.e. Z-score =1.25
Hence, the required z-score = 1.25
The North American feather-winged beetle is one of the world's smallest beetles.
It is less than 0.0005 meters in length. What is the length of scientific notation?
A. 5.0 x 10-4
B. 5.0 x 10
C.5.0 x 102
D. 5.0 x 104
You roll a 6-sided die. What is P(even)?
Please help, test due in 2 hours! Will give good review and brainliest. :)
Answer:
224in³
Step-by-step explanation:
Find the volume of the rectangular prism, then subtract the volume of the pyramid from it.
Volume of rectangular prism= (length)(width)height)
=(14)(4)(10)=560in³
Volume of pyramid=((length)(width)height))/3
=((14)(4)(6))=336in³
560in³-336in³=224in³
Just solve this for my friend, can u
Simplyfy 192/-168
Answer:
-8/7 is your simplified answer :)
Step-by-step explanation:
Have a nice day <3
ENTERTAINMENT For Exercises 19 and 20, use the following information.
Fairfield High spent d dollars for refreshments, decorations, and advertising for a dance. In
addition, they hired a band for $550.
19. Write an expression that represents the cost of the band as a
fraction of the total amount spent for the school dance.
20. If d is $1650, what percent of the budget did the band account for?
Answer:
D + 550 = X
The band accounted for 25% of the budget.
Step-by-step explanation:
Since Fairfield High spent D dollars for refreshments, decorations, and advertising for a dance, and in addition, they hired a band for $ 550, to write an expression that represents the cost of the band as a fraction of the total amount spent for the school dance and determine, if D is $ 1650, what percent of the budget did the band account for, the following calculations must be performed:
D + 550 = X
D = 1650
1650 + 550 = X
2200 = X
2200 = 100
550 = X
550 x 100/2200 = X
55,000 / 2,200 = X
25 = X
Therefore, the band accounted for 25% of the budget.
Sandy picked 9 pounds of tomatoes. She wants to share the tomatoes equally among 4 of her neighbors. How many pounds of tomatoes will each neighbor get?
this is a not a part of the question 7
Answer:
2.25
9÷4
Step-by-step explanation:
Alexandra owns a small business selling bagels. She knows that in the last week 95 customers paid cash, 4 customers used a debit card, and 31 customers used a credit card.
Based on these results, express the probability that the next customer will pay with something other than a credit card as a fraction in simplest form.
What is the average rate of change between coordinate points (4, 7) and (6, 10) ?
Answer: 2/3
Step-by-step explanation:
Rise over run shows it on average goes up 2 and over 3. 2 on top for rise, 3 on bottom for run. Hope it helps! Don't click on shady links
Find the missing side. Round to the nearest tenth using trigonometric ratios. (anyone have a clue what i have to do)
Answer: I think the answer would be B) 10.0
Can someone help me? I am stuck on this question I would mean the world if u helped me! and tysm for the people who helped me!
A researcher believes that there is a difference in how cautious male stray cats and female stray cats are when approaching people. He knows that the stray cat population is 50% male and 50% female. In order to test this hypothesis, he visits 15 different areas where stray cats live and records the gender of the first cat to approach him. He finds that 11 of the 15 cats that approach him are male. Using a sign test and an alpha of .05: A) What is the null hypothesis
Answer:
The null hypothesis is that there is no difference in the mean number of male and female cats
H₀; μ₂ - μ₁ = 0
Step-by-step explanation:
The given parameters are;
The given percentage of male stray cat population = 50%
The given percentage of female stray cat population = 50%
The number of areas the researcher visits, n = 15
The number of stray male cats he finds = 11
The kind of test to be performed = Sign test
The significance level, α = 0.05
A) Therefore the null hypothesis is H₀; μ₂ - μ₁ = 0
The alternative hypothesis is Hₐ; μ₂ - μ₁ ≠ 0.
Graph the following features:
• Y-intercept = 3
Slope = -3
Answer:
A general linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept (the point at which the line intersects the y-axis).
In this case, we know that the line should intersect the y-axis (the vertical one) at y = 3 (in the point (0, 3))
And the slope is -3, then the equation of the line is:
y = -3*x + 3
To graph this line the general way is to find two points of the line.
So we need to evaluate the function in two different values of x.
In this case, we already know that the line passes through the point (0,3), then we only need to find another point.
To do it, we can just replace the x-value for a value we want, like x = 1
Then the y-value will be:
y = -3*(1) + 3 = -3 + 3 = 0
Then we also have the point (1, 0).
Now that we have two points, we can graph them and draw a line that connects the point, that line is the graph of our linear equation.
An example of this can be seen below.
Which of the following triangles can be proven similar through AA?
if you have 2 different slopes what is true about the slopes
Answer:
Step-by-step explanation:
If two lines have different slopes, they cannot be the same line. If they share a y-intercept, that means they cross the y -axis at the same y value. If they share an x value and corresponding y value, they intersect at that point, in this case their y-intercept.
Hope this helped!!
Pls awnser I will give brainliest
9514 1404 393
Answer:
C. 22/7
Step-by-step explanation:
You may be aware that 22/7 is a value used to approximate π almost as often as is 3.14.
__
In case you actually want to carry out the calculations, you have ...
C = πd
π = C/d
π ≈ (60 3/50)/(19 11/100) = (3003/50)/(1911/100) = 6006/1911 = 22/7
π ≈ 77/(24 1/2) = 77/(49/2) = 22/7
π ≈ (86 9/10)/(27 13/20) = (869/10)/(553/20) = 1738/553 = 22/7
π ≈ 99/(31 1/2) = 99/(63/2) = 22/7
HELP ASAP!!
I will give brainliest if correct
Answer:
One of the angles is 42 degrees the other one is the same.
To find the missing angle you need to subtract the 2 angles with 90 and what you get is the missing angle so
42 - 42 - 90 = 90
I believe this is the right answer my bad if its not
Find the sector area.
Answer:
D
Step-by-step explanation:
Nathan Drives a motorcycle that travels 166.5 miles on a 4.5 gallon tank. What is the unit rate in miles per gallon.
Answer:
37 miles per gallon
Step-by-step explanation:
Ratios:
[tex]\frac{166.5}{4.5} =\frac{x}{1} \\\\4.5x=166.5\\x=37[/tex]
A 4-column table with 5 rows. The first column is labeled age (years) with entries 1, 2, 3, 4, 5. The second column is labeled given value with entries 15, 12, 9, 5, 4. The third column is labeled predicted with entries 14.8, 11.9, 9, 6.1, 3.2. The fourth column is labeled residual with entries 0.2, 0.1, 0, negative 1.1, 0.8. Which point would be on a residual plot of the data?
Answer:
3,0
Step-by-step explanation:
From the table we can say that the point which is residual plot of the data is (3,0).
What is residual plot?Residual plot shows the difference between observed and fitted values of the data. It is also known as null residual plot. In this random values in data is taken.
How to find point?We have been given the following table:
Age Value Predicted Residual
1 15 14.8 0.2
2 12 11.9 0.1
3 9 9 0
4 5 6.1 1.1
5 4 3.2 0.8
If we observe the table then we can find that the third row of fourth column contains 0 so the point which is residual plot of the data is (3,0).
Hence the point which contains the residual plot of the data is (3,0).
Learn more about two residual plot at https://brainly.com/question/16821224
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1. What is –6 9/16 written as a decimal?
A -6.625
B -6.5625
C -6.4375
D-6.125
Answer:
B) -6.5625
9/16 is equal to 0.5625
Answer:
-6.5625
Step-by-step explanation:
Please help due in 5 min.
Answer:
1
Step-by-step explanation:
3×60=180
180÷45=4
4-3=1
what is the area of the figure at the right 14cm 16cm 20cm 38cm
Answer:
170240
Step-by-step explanation: