Answers
Answer:
[tex]x = 5.625[/tex]
Step-by-step explanation:
Step 1: Make an expression
[tex]\frac{3}{4} = \frac{x}{7.5}[/tex]
Step 2: Cross Multiply
[tex]\frac{3}{4} = \frac{x}{7.5}[/tex]
[tex]4 * x = 7.5 * 3[/tex]
[tex]4x = 22.5[/tex]
Step 3: Divide both sides by 4
[tex]4x / 4 = 22.5 / 4[/tex]
[tex]x = 5.625[/tex]
Answer: [tex]x = 5.625[/tex]
Related Questions
Find the surface area of a sphere with radius of 1.5 and slant height of 6.
Answers
Answer:
about 28.27
Step-by-step explanation:
A=4πr2
You go to the store and find some books that are 35% off regular price. If a book costs $20, what would you pay?
Answers
Answer: 13 dollars
Step-by-step explanation:
Answer:
13 dollars.
Step-by-step explanation:
Hope this helps!
Multiply 20 dollars by 0.65.
Rylee shopped at a clothing store, where she spent $36.50 plus 8% tax. Then, she spent $25 to refuel her car at the gas station. Finally, she bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase.
Complete the following steps to help Rylee find the net change to her banking account balance.
Answers
Answer: The net change to her banking account balance is $83.22.
Step-by-step explanation:
Hi to answer this question we have to analyze the information given:
She spent $36.50 plus 8% tax. ( to calculate the tax amount we have to multiply the cost by the percentage in decimal form)
36.50 x (8/100) =$2.92 (value of tax)
Adding to the original cost
36.50+2.92 = $39.42
Then, she spent $25 to refuel her car at the gas station.
39.42 +25 = $64.42
She bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase
23.50 x (20/100) = 4.7 (amount of discount)
Subtracting to the purchase
23.50 -4.7= $18.8
Finally, adding to the total cost.
64.42 +18.8 = $83.22
Final answer:
To find the net change in Rylee's banking account balance, calculate the tax on her clothing purchase, add the fuel cost, and then subtract the grocery discount from the grocery purchase before summing all costs to get a total of $83.22.
Explanation:
The problem of calculating the net change to Rylee's banking account balance is a typical Mathematics problem involving percentages and addition. This is commonly tackled at the High School level. To solve it, we will need to calculate the total cost of each of Rylee's expenditures, including the application of tax and discounts where applicable.
Start by calculating the tax on the clothing store purchase: $36.50 * 8% = $2.92.Add the tax to the original amount to get the total clothing cost: $36.50 + $2.92 = $39.42.Add the fuel cost directly as there is no tax mentioned: $39.42 + $25 = $64.42.Calculate the discount on groceries: $23.50 * 20% = $4.70.Subtract the discount from the grocery total to find the final cost: $23.50 - $4.70 = $18.80.Add the discounted grocery cost to the previous total: $64.42 + $18.80 = $83.22.The net change to Rylee's banking account balance after all her purchases is $83.22.
Find the perimeter of the colored part of the figure. The figure is composed of small squares with side-length 1 unit and curves that are an arc of a circle(half circle). Use 3.14 for pi.
Answers
Answer:
16.56 in
Step-by-step explanation:
4 sides of the squares are exposed
The radius of each semicircle is 1 since they are against 2 squares.
2pi*r=circumfrence
2pi*1=6.28
6.28/2=3.14 because it's a semicircle
3.14*4=12.56 because there are 4 equal semicircles
12.56+4=16.56
Does the graph of y=x2+4x−1 open upward or downward? upward downward
Answers
Answer:
Upward
Step-by-step explanation:
The first term is positive meaning it will open upward
Answer: The answer is A: Upward.
Step-by-step explanation: When the first term is positive, the graph open upward.
Rusty’s favorite meal consists of a corn dog, tater wedges, and a fudge sickle. Rusty has decided to order a corn dog and to choose his side and dessert randomly. What is the probability that Rusty will not end up with his favorite meal?
A. 1/80
B. 1/16
C. 15/16
D. 79/80
Answers
Answer:
Option C.
Step-by-step explanation:
It is given that Rusty’s favorite meal consists of a corn dog, tater wedges, and a fudgesicle.
Rusty has decided to order a corn dog and to choose his side and dessert randomly.
We need to find the probability that Rusty will not end up with his favorite meal.
Total number of sides = 4
Total number of desserts = 4
Total possibilities = 4 × 4 = 16
Possible ways of selecting tater wedges and a fudge sickle = 1
Probability that Rusty will end up with his favorite meal is
[tex]P=\dfrac{1}{16}[/tex]
Probability that Rusty will not end up with his favorite meal is
[tex]P'=1-P=1-\dfrac{1}{16}=\dfrac{15}{16}[/tex]
Hence, the correct option is C.
What is the least common multiple (LCM) of 7 and 9?
Answers
Answer:
63
Step-by-step explanation:
7*9=63
9*7-63
Answer:
63
Step-by-step explanation:
7 and 9 multiply to 63 at the least
The Swaying Palms Hotel has 200 rooms. The graph shows the average number of
rooms occupied during each month of the year. During which month does the hotel
have the most empty rooms?
Answers
Answer:
Februay
Step-by-step explanation:
3/5 * (t + 26) = −3(2 − t)
t =
Answers
Answer:
t=9
Step-by-step explanation:
What is the median of the following numbers
Answers
Answer: You did not give me any numbers...
Step-by-step explanation:
just to say, The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set.
Whole numbers between 10.99 and 13.99
Answers
Whole numbers between those two would be 11, 12, and 13.
Answer:
11, 12 & 13
Step-by-step explanation:
Whole numbers between 10.99 and 13.99 are 11, 12 & 13
The degree for 6g²h³k?
Answers
Answer:
the degree for this monomial is 7
Step-by-step explanation:
g^2 = 2
h^3= 3
k = 1
add the exponents- 2+3+1= 7
need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
2
Step-by-step explanation:
a=4 so plug 4 in for a 4+(-b) now we know b=2 but it has to in for b so we would get 4+(-2) now solve 4+-2 or if you think about 4-2 is easier it's going to be 2.
Can someone help me do this thank you
Answers
Answer:
d = 15
Step-by-step explanation:
6+15 = 21
NEED ANSWER ASAP!!!Keiko and Eric each randomly surveyed people with cell phones. They recorded peoples'
ages (a years) and how many texts they send per day on average (t texts). For their respective data, they each drew a line of best-fit and determined its equation. They then compared equations and made inferences based only on the equations they calculated.
Answers
In this Age and Texting question, The true statement based on this information is that the younger a person is, the more likely they are to text. So the correct answer is option 3rd.
The two equations given represent the lines of best fit for the data collected by Keiko and Eric regarding peoples' age and the number of texts they send per day on average.
By analyzing the equations, we can make inferences about the relationship between age and the number of texts. Keiko's equation, t = -1.63a + 92.14, suggests that as age increases, the number of texts decreases.
Eric's equation, t = -1.05a + 80.97, also indicates a negative relationship between age and the number of texts, but with a slightly smaller slope. Therefore, the true statement based on this information is that the younger a person is, the more likely they are to text.
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What is the volume, in cubic ft, of a cylinder with a height of 17ft and a base radius of 5ft, to the nearest tenths place?
Answers
Answer: 1335.2 ft^2
Step-by-step explanation: The volume of a cylinder formula is V=πr^2h. Just plug in 17 into h and 5 into r. Also the 2 is an exponent
The volume of the cylinder with a height of 17ft and a base radius of 5ft is approximately 1335.2 cubic feet.
What is the volume of a substance?The volume of a substance is the total space occupied by the substance in the three-dimensional space.
How do we determine the volume of a cylinder?The volume of a cylinder with the radius of the base r units, and a height of h units is given by the formula:
The volume of a cylinder = πr²h cubic units.
How do we solve the given question?In the question, we are asked to determine the volume of a cylinder with a base radius of 5ft and a height of 17ft.
We are given base radius r = 5ft, height h = 17ft.
To determine the volume, we use the formula of the volume of a cylinder:
The volume of a cylinder = πr²h cubic units.
or, Volume = π*(5²)*17 cubic feet
or, Volume = 3.1415*25*17 cubic feet (Taking π ≈ 3.1415)
or, Volume = 1335.1768 cubic feet ≈ 1335.2 square feet (Nearest tenths)
∴ The volume of the cylinder with a height of 17ft and a base radius of 5ft is approximately 1335.2 cubic feet.
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when Quinn got home he turned the air conditioner on. T represents the temperature in Quinn's home (in degrees celsius) after t minutes. T=42-0.7t how fast did the temperature drop ??
Answers
Answer:
0.7 per minute
Step-by-step explanation:
0.7 in the equation represents how much the tempeture was dropping per minute.
Answer:
Step-by-step explanation:
T=42-0.7T
T=42-0.7(0)
T=42-0
T=42
What is the length of Line segment B C? Round to the nearest tenth.
Triangle A B C is shown. Angle B C A is a right angle and angle C A B is 65 degrees. The length of hypotenuse B A is 16 centimeters and the length of B C is x.
6.8 cm
7.5 cm
14.5 cm
17.7
Answers
Answer:
14.5
Step-by-step explanation:
since the hypotenuse is 16 you multiply that by (sin(65)) and 14.5 is the answer.
Simplify:
X(3.8 - 2.6) +3+3.2 (x + 2)
Answers
Answer:
4.4x+9.4
Step-by-step explanation:
x(3.8)-x(2.6)+3+3.2(x)+3.2(2)
3.8x-2.6x+3+3.2x+6.4
Combine all of x's with the blanks
4.4x+9.4
Pablo put $1,260 into a savings account that earns 3% simple interest per year. He does not make any deposits or withdrawals. How much money will be in Pablo's account after 2 years?
Answers
Answer:
$1,335.60
Step-by-step explanation:
6% of $1,260 is $75.60. $1,260 + $75.60 = $1,335.60
Hope this helps!!
I NEED HELP! (Tap on picture!)
Answers
reference the right triangle shown below to write the quantity as a fraction in lowest terms
tan P
Answers
Answer:
A right angled triangle is a triangle where one of the internal angles is 90°.
Consider the general right angle triangle, in figure 1 below, with angle β and sides labeled as shown below
Right-Angle-Triangle
The sides are labeled with respect to the angle β, so that the nearest side is called the adjacent side, the side that is directly opposite is called the opposite side while the longest side is called the hypotenuse.
Therefore, given any angle in a triangle, it should be easy to identify the adjacent, the opposite side and the hypotenuse.
Example
Reference to the figure below.
Example1
1. Identify the right angle triangles in the above diagram.
Solution: A right angled triangle is a triangle where one of the internal angles is 90°. Such triangles are ABC, ABN, DAC and DNC.
2. Identify the adjacent sides to angles θ, α, β and µ.
Solution:
Angle θ is in triangle DAC. The angle is nearer to line AC hence, it is the adjacent line.
Angle α is in triangle ABN. The angle is nearer to line AB hence, it is the adjacent line.
Angle β is in triangle DNC. The angle is nearer to line DC hence, it is the adjacent line.
Angle µ is in triangle ABC. The angle is nearer to line AB hence, it is the adjacent line.
3. Identify the opposite sides to angles θ, α, β and µ.
Solution:
Angle θ is in triangle DAC. The angle is opposite to line DC hence, it is the opposite line.
Angle α is in triangle ABN. The angle is opposite to line AN hence, it is the opposite line.
Angle β is in triangle DNC. The angle is opposite to line CN hence, it is the opposite line.
Angle µ is in triangle ABC. The angle is opposite to line AC hence, it is the opposite line.
4. Identify hypotenuse with respect to angles θ, α, β and µ.
Solution:
Angle θ is in triangle DAC. The longest side in that angle triangle is AD hence, it is the hypotenuse.
Angle α is in triangle ABN. The longest side in that angle triangle is NB hence, it is the hypotenuse.
Angle β is in triangle DNC. The longest side in that angle triangle is DN hence, it is the hypotenuse.
Angle µ is in triangle ABC. The longest side in that angle triangle is CB hence, it is the hypotenuse.
We will cover the following. Feel free to skip any section as you prefer.
Step-by-step explanation:
Select all that are measures of angles that are coterminal with a –50° angle. –770° –530° –410° 50° 310° 360° 410° 670°
Answers
Answer:
-770, -410, 310, 670
Step-by-step explanation:
-50 + 360 = 310
310 + 360 = 670
-50 - 360 = -410
-410 - 360 = -770
For the angle -50°, from the given options, the coterminal angles are: -770°,-410°, 310° and 670°.
Coterminal AnglesThis classification represents angles that do not present the same value, but they present vertices and sides are identical. Also, if the angles are coterminal, then their sines, cosines and tangents are equal.
A coterminal angle can be found from the formula β = α ± 360 * w, where w is a positive integer.
You should replace w for integers numbers ≥ 1. Hence,
For w=1 and α=-50°β = -50± 360 * 1
β = -50± 360
Then, β can be -50+360=310° or -50-360= -410°
For w=2 and α=-50°β = -50± 360 * 2
β = -50± 720
Then, β can be -50+720=670° or -50-720= -770°
For w=3 and α=-50°β = -50± 360 * 3
β = -50± 1080
Then, β can be -50+1080=1030° or -50-1080= -1130°
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What is the equation of the line through the points (-3, 4) and (5, 4)?
Answers
Answer:
The correct equation (in slope intercept form) is [tex]y=-4x+8[/tex]
The equation of the line through the points (-3, 4) and (5, 4) is y=4.
What is the equation of a line?The standard form of the line is;
[tex]\rm y=mx+c[/tex]
The slope of the line is;
[tex]\rm m=\dfrac{x_2-x_1}{y_2-y_2}\\\\m =\dfrac{5-(-3)}{4-4}\\\\m =\dfrac{8}{0}\\\\m=0[/tex]
The equation of the line through the points (-3, 4) and (5, 4) is;
[tex]\rm y-y_1=m(x-x_1)\\\\y-4=0(x-(-3))\\\\y-4=0\\\\y=4[/tex]
Hence, the equation of the line through the points (-3, 4) and (5, 4) is y=4.
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Ten cards numbered 1 through 10 are mixed together and then one card is drawn. Find the probability of each event. Write the answer in percent.
P(greater than 3)=
P(not 5, 6,7,or 8)=
Answers
Answer
probability of greater than 3 is 60%
not 5,6,7 or 8 is 60%
Answer:7/10
Step-by-step explanation: multiple of 4 is: 1,2,4. So that's 3 number which would leave you with 7 more which is 70% and 7/10 as a fraction
how to write 700.06 in
word form
Answers
Step-by-step explanation:
seven hundred and six hundredtsorseven hundred point zero sixThe word form of the number 700.06 will be;
'' Seven hundred point zero six.
What is Place value?
The value represented by a digit in a number on the basis of its position in the number is called a Place value.
Given that;
The number is,
⇒ 700.06
Now,
The word form of the number 700.06 will be;
'' Seven hundred point zero six.
Thus, The word form of the number 700.06 will be;
'' Seven hundred point zero six.
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can someone please help answer this problem ASAP!!!:)
Answers
Answer:
c
Step-by-step explanation:
i am a really good guesser and i think it is c
Which of the following is a reason why Northern Europe’s literacy rate is so high?
A. high taxes
B. Strong government support
C. All of the above
D. Free schooling
Answers
Which sequence are geometric?
Answers
Answer:
The second one
The third one.
The last one.
Step-by-step explanation:
Hope this helps!
Which is a right triangle formed using a diagonal through the interior of the cube?
Answers
Answer:
ΔABE is correct because it is a right triangle through a diagonal
Step-by-step explanation:
Answer: A
Step-by-step explanation: