Answer/Step-by-step explanation:
Given:
Seven more than the quotient of a number b and 45 is greater than 5
So:
Seven more than the quotient of a number b and 45 is greater than 5
=
7 + b/45 > 5
Solve if needed:
[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:b > -90\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-90,\:\infty \:\right)\end{bmatrix}[/tex]
[tex]\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}[/tex]
[tex]7+\frac{b}{45}-7 > 5-7[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\frac{b}{45} > -2[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}45[/tex]
[tex]\frac{45b}{45} > 45\left(-2\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]b > -90[/tex]
~Lenvy~
Parisian sewer #1 contains 9 fewer gigantic rats—rats as big as cats, some might say—than parisian sewer #2. parisian sewer #2 contains 5 fewer gigantic rats than parisian sewer #3. if there are 56 gigantic rats in all three sewers combined, how many rats are in sewer #1?
There are different kinds of math problem. There will be 11 rats in sewer #1.
What are word problem?The term word problems is known to be problems that are associated with a story, math, etc. They are known to often vary in terms of technicality.
Lets take
sewer #1 = a
sewer #2 = b
sewer #3 = c
Note that A=B-9
So then you would have:
A=B-9
B=C- 5
A+B+C=56
Then you have to do a substitution so as to find C:
(B- 9) + (C-5) + C = 56
{ (C- 5)-9} + (C-5) + C = 56
3C - 19 = 56
3C = 75
B = C- 5
B = 25 - 5
Therefore, B = 20
A = B - 9
= 25 - 9
=11
Therefore, there are are 11 rats in sewer #1
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The number 175 is 25% of what number?
Answer:
700
Step-by-step explanation:
If you take 25 percent of a number and get 175, then what is that number? In other words, you know that 25 percent of a number is 175 and you want to know what that initial number is.
To solve this problem you multiply 175 by 100 and then divide the total by 25 as follows: (175 x 100) / 25
When we put that into our calculator, we get the following answer:
700
Answer: 700
Step-by-step explanation:
175 * 4 = 700
700 / 4 = 175
If the circumference of a circle is 220 cm, find its diameter and area
please correct answer
Step-by-step explanation:
C = 2 Pi R = 220
R = 220 / 2 pi = 35 cm
diameter = 35 x 2 = 70 cm
Area = pi r² = pi 35² = 3848.45 cm
When you have coordinates of two points A(1, 2) and B(2,6) slope is:
Answer: 4
Step-by-step explanation:
Find the amplitude and period of y = 5 cos (4x)
Answer: amplitude is 5 and Period is pi/2
Step-by-step explanation:
yes ♀️
X= 15+yx+2y =51solve the system using elimination
Answer:
Im not going to give u an answer, but i will help u get the answer.
Step-by-step explanation:
there is a algebra problem solver called symbolab it really helps
What is the area of the object
Answer:
C. 189 square centimeters
Step-by-step explanation:
Area of a Square/Rectangle is base x height
= 7 X 7 = 49
Area of a triangle = 1/2 Base X Height
= 1/2 X 7 X 10
= 35
There are 4 triangles
35 X 4 = 140
140 + 49 = 189
= 189cm^2
Answer: C. 189 cm²
Step-by-step explanation:
A rectangle/square is solved for with A = L * W.
The middle square has a (surface) area of:
7 * 7 = 49 cm²
We then have four triangles. These are solved for with [tex]\frac{B*H}{2}[/tex]. Since all four are congruent, I will multiply one of them by 4.
The triangles have a total (surface) area of:
10 * 7 = 70
70 / 2 = 35
35 * 4 = 140 cm²
Lastly, we will add the two totals together.
140 cm² + 49 cm² = 189 cm²
The object has a surface area of C. 189 cm².
Casey wanted to find the intercepts of the graph of the equation 10x+4y=20. He decided to put the equation in slope-intercept form first. Here is his work:
10x+4y=20
4y=20−10x
y=20−10x4
y=5−10x
He concluded that the slope is m=12 and the y-intercept is (0, 5).
What error did Casey make? Within your explanation, give the correct solved for y equation, the correct slope, and the correct y-intercept.
Answer:
made a mistake in step 3
Step-by-step explanation:
there, he should have gotten y=5-2x which is then translated to y=-2x+5
this means the y-intercept is correct, but the slope is actually -2
I NEEED HELLPPP write this using exponents question
Answer:
D. [tex](-2)^6[/tex]
Step-by-step explanation:
There are six (-2), so it would be D. since C. would just mean [tex]2^6[/tex] and turn that negative.
You can check using a calculator that (-2)(-2)(-2)(-2)(-2)(-2) would equal 64 while C. equals -64. So the correct answer would be D.
what two numbers add up two 40 but multiply to get 100
The two numbers are illustrations of system of equations
The two numbers are 2.7 and 37.3
How to determine the two numbers?Let the numbers be x and y.
So, we have the following equations
x + y = 40
xy = 100
To determine the value of the variables, we simply plot the graph of both equations
From the graph, we have the following result
(x,y) = (2.7, 37.3)
Hence, the two numbers are 2.7 and 37.3
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if a pyramid 20yd,18yd,18yd what is the surface area
15YD
Step-by-step explanation:
Translate the sentence into an inequality.
The sum of 6 and w is less than -21.
Each patron can borrow up to 6 books. If all the patrons are currently holding on to 6 books each, how many books are left in the library?
Answer:
Your answer would be:
3,384 books are left in the library
If each patron has 6 books, and there are 564 patrons:
564 x 6 = 3,384 books left
In conclusion, there are 3,384 books left in the library.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Alannah, Colin and Hannah visit the park and collect conkers and acorns.
In total they collect the same number of conkers and acorns.
Alannah, Colin and Hannah collect conkers in the ratio 4:7:9
Alannah, Colin and Hannah collect acorns in the ratio 3:1:5
(a) Did Hannah collect more conkers or acorns?
Hannah collected more acorns than conkers.
What is Ratio?Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.
The ratio of a and b is denoted as a : b.
Given that,
Ratio of collection of conkers by Alannah, Colin and Hannah = 4 : 7 : 9
Total conkers = 4 + 7 + 9 = 20
Ratio of conkers collected by Hannah to total conkers = 9/20
Ratio of collection of acorns by Alannah, Colin and Hannah = 3 : 1 : 5
Total acorns = 3 + 1 + 5 = 9
Ratio of acorns collected by Hannah to total acorns = 5/9
LCM (9, 20) = 180
9/20 = (9 × 9) / (20 × 9) = 81/180
5/9 = (5 × 20) / (9 × 20) = 100/180
Hence Hannah collected more acorns than conkers.
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The value of a new truck decreases exponentially at a rate of 4.8% per year. If the purchase price of the new cars $42,000, how much is the car work by the time it is paid off by the time it is paid off 5 years later?
The worth of the car after it is paid off 5 years later given the rate of exponential depreciation is $32,842.34.
What is the worth of the car?When the car declines in value, it means that the car is depreciating. The formula that can be used to determine the value of the car with the depreciationn rate is:
FV = P (1 - r)^n
FV = Future value P = Present value R = rate of decline N = number of years$42,000 x (1 - 0.048)^5 = $32,842.34
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Due to an economic downturn, a company had to decrease its staff from 364 employees to 91 employees. What was the percentage decrease in staff?
Answer:
25%
Step-by-step explanation:
First, divide 91 by 364
91/364 = 0.25
Multiply this answer by 100
0.25 × 100 = 25%
This gives you what percent of 364 that 91 is
So it is a 25% decrease
Prove that the side lengths 3, 9, and 12 do not represent a right triangle. Make sure to include ALL calculations.
Step-by-step explanation:
a^2+b^2=c^2
3^2+9^2 not equal to 12^2
ASAPPPP!! Please!
The histogram shows the number of days in the past week that 30 surveyed people exercised.
Number of Days per person.
And days
How many people who were surveyed exercised fewer than 4 days last week?
12
14
16
18
Answer:
16
Step-by-step explanation:
2 from 3 days
another 2 on 2 days
5 for 1 day
7 for 0 days
2+2+5+7= 16
100 BRAINLY POINTS!!!
Sean conducted a survey among his classmates to determine if there was an association between how much
they like math and how much they like their math teacher. He asked his classmates to use a rating scale of 1
to 5, where 1 is the lowest and 5 is the highest. Sean graphed the ratings data from his survey on this scatter plot.
Based on this scatter plot, which statement is true?
A. There is a cluster of data that shows no relationship between how much Sean's classmates like math
and how much they like their math teacher.
B. There is an outlier in the data that shows no relationship between how much Sean's classmates like
math and how much they like their math teacher.
C. There is a positive linear association between how much Sean's classmates like math and how much
they like their math teacher.
D. There is a negative linear association between how much Sean's classmates like math and how much they like their math teacher.
HURRY PLEASE
EXPLAIN YOUR ANSWER
SHOW YOUR WORK
Answer:
I think Option C is the correct answer
I think it will help you.
The measure of central tendency most influenced by outliers is the ______. A. Mode b. Median c. Mean d. Variance
33.33333 rounded to the nearest tenth
Answer:
33.3
Step-by-step explanation:
since it's 3 and not higher than 5 the value would be rounded down
Consider 4(2x + 3) = 2(4x + 6) after each
side of the equation is simplified.
Why does the equation have infinitely many
solutions?
Hope this helps you
Good luck
Can anyone solve this correctly?
Answer:
24 cm³
Step-by-step explanation:
The volume of a triangular prism with triangular face 4 cm by 2 cm and height 6 cm is the product of the triangle area and the prism height:
V = BH
V = ((1/2)bh)H = 1/2(2 cm)(4 cm)(6 cm) = 24 cm³
The volume of the prism is 24 cubic centimeters.
_____
Additional comment
Note that this is half the volume of a rectangular prism of the same dimensions.
You have to flip a fair coin until you get three heads in a row or three tails in a row, what are the odds it takes more thn 10 flips to do so?
(It is not 12.5% please don't answer that)
Answer:
25 percent
Step-by-step explanation:
A vase is in the shape of a rectangular prism. It has a base area of 40
square inches and a height of 10 inches. The vase is filled to the top with
water and emptied into a fish tank. The fish tank is also shaped like a
rectangular prism. How much more water would be needed to fill the fish
tank to the top?
Answer:
40/10
Step-by-step explanation:
The amount of water needed to fill the fish tank to the top is 400 inch³
What is the Volume of a Rectangle?
The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
Let the volume of the fish tank be = V
Let the base area of the rectangle be A = 40 inch²
Let the height h of the rectangle be h = 10 inches
Now , the volume of the vase = volume of fish tank
So , the volume of fish tank is calculated from the formula,
Volume of fish tank = base area of the rectangle x height h of the rectangle
Substituting the values in the equation , we get
Volume of fish tank = 40 x 10 inch³
On simplifying the equation , we get
Volume of fish tank = 400 inch³
Therefore , the value of V is 400 inch³
Hence ,
The amount of water needed to fill the fish tank to the top is 400 inch³
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y = -3x + 13
y = -x + 1
solve by substitution
Answer:
x = 6
y = -5
Explanation:
y = -3x + 13 y = -x + 1substitute each of the following,
-3x + 13 = -x + 1
-3x + x = 1 - 13
-2x = -12
x = 6
Find y,
y = -x + 1
y = -6 + 1
y = -5
Step-by-step explanation:
please mark me as brainlest
Indicate the method you would use to prove the two Δ's ≅ . If no method applies, enter "none".
Answer: The answer is ASA I got it right
Step-by-step explanation:
brainliest pls <3
help would be appreciated
Answer:
The answer is C 33.75 inches
Step-by-step explanation:
look at the explanation photo
The area of a rectangle is given by the expression, A = 4x2 + 9x + 2 where the width is x +2. Find an expression for the length of the rectangle. Show all steps.
Answer:
4x+1
Step-by-step explanation:
1) to find the required expression for the length:
length=area/width;
2) according to the formula above:
[tex]L=\frac{4x^2+9x+2}{x+2}=\frac{(x+2)(4x+1)}{x+2}=4x+1.[/tex]
NEED ANSWERS QUICKLY! CORRECT ANSWER GETS BRAINLIEST
Write a division problem with 1/3 as the dividend and 3 as the divisor. Then find the quotient.
Answer:
1/9
Step-by-step explanation:
1/3 x 1/3 =1/9
so
1/3 divided by 1/3 is 1/9