The number of hours it takes Elisabeth to read 3/4 of the book is; 5³/₅ hours
What are mixed numbers?We are told that she reads 15 of her books in 112 hours.
Thus, number of hours to read one book is;
112/15 hours per book
Therefore, number of hours to read ³/₄ of the book is;
³/₄ * ¹¹²/₁₅ = 28/5
As a mixed number is 5³/₅ hours per book
Read more on mixed numbers at; https://brainly.com/question/10225
Answer:
5 5/8 h
Step-by-step explanation:
took the test and got it right :)
HELP ME WITH PROVING LINES PARALLEL PLEASE
Answer:
x = 30
Step-by-step explanation:
5x and 3x + 60 are co-exterior angles. To make A and B parallel, they should congruent (equal}
5x = 3x + 60
5x - 3x = 60
2x = 60
x = 60/2
x = 30
Checking:
5x = 5*30 = 150
3x + 60 = 3*30 + 60 = 90 + 60 = 150
The marked price of a radio set is 450000. A discount of 5% of the marked price is allowed. What is the selling price of the radio
Answer:
$427,500 dollars
Step-by-step explanation:
Given the following question:
Initial price = 450,000
5% discount
In order to find the answer, we simply find 5% of 450,000.
[tex]\frac{5\times450000}{100} =5\times450000=2250000\div100=22500[/tex]
[tex]450000-22500=427500[/tex]
[tex]r=427500[/tex]
The radio (after a 5% discount) costs "$427,500 dollars."
Hope this helps.
Ms. Lynch has 21 coins in nickels and dimes.
Their total value is $1.65. How many of each
coin does she have?
Answer:
Step-by-step explanation:So we know x + y = 21 and 5x +10y = 165 We line them up in columns x + y = 21 5x +10y = 165 To eliminate the x variable, I'll multiply every element in the 1st equation by -5. -5x + -5y = -105 5x + 10y = 165 Now we combine (add) the equations, which eliminates x altogether. 5y = 60 ... y = 12 From there, x + 12 = 21 ... x = 21-12 ... x = 9 You should double check. Do 9 nickles and 12 dimes equal $1.65? A very important thing to remember using this method is to do the same thing to each element in the equation that you change! I hope that helps.
Can someone help me with this??
Answer:
negative 10 less than x
-10 < x
ASAP what is the answer 8q=64. also can you explain how to do this
Jade wants to buy a $200,000 term life insurance policy. She is 34 years old. Using the premium table, what is her annual premium for a 10 year policy? A 5-column table with 6 rows titled Annual Life Insurance Premium (per 1,000 dollars of face value). Column 1 is labeled age with entries 30, 31, 32, 33, 34, 35. Column 2 is labeled 5-year term male with entries 3. 98, 4. 08, 04. 19, 4. 30, 4. 42, 4. 54. Column 3 is labeled 5 year term female with entries 3. 66, 3. 76, 3. 87, 3. 98, 4. 10, 4. 22. Column 4 is labeled 10-year term male with entries 6. 06, 06. 13, 6. 30, 6. 38, 6. 45, 6. 53. Column 5 is labeled Female with entries 5. 72, 5. 79, 5. 85, 5. 93, 6. 01, 06. 9. A. $1,290 b. $1,202 c. $6,010 d. $820.
Premium rates are usually for premium per fixed face value. Jade's annual premium for a 10 year policy is given by Option b: $1,202
How to calculate the total annual premium for $x ?If its given that the annual premium is $p per $y face value, then we can calculate the annual premium for $1 face value and then use it to calculate annual premium for $x.
Using proportions, we get:
[tex]\rm \$y \: face \: value : \$p \: annual \: premiun\\\\\rm \$1 \: face \: value : \$\dfrac{p}{y} \: annual \: premiun\\\\\rm \$x\:face\: value : \$\dfrac{p \times x}{y} \: annual \: premiun\\[/tex]
For given case, from the tables, we see that for age 34, and 10 year life insurance for female gender , there is annual premium of 6.01 per $1000 face value.
Thus, we have p = 6.01, y = 1000
Since Jade wants to buy Life insurance for $200,000, thus, x = $200,000
Putting it in the above derived formula, we get:
[tex]\rm \$x\:face\: value : \$\dfrac{p \times x}{y} \: annual \: premium\\\\\rm \$200000\:face\: value : \$\dfrac{6.01 \times 200000}{1000} \: annual \: premium\\ = \$1202 \: annual \: premiun[/tex]
Thus, Jade's annual premium for a 10 year policy is given by Option b: $1,202
Learn more about calculating annual premium cost here:
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Anthony leans a 28-foot ladder against a wall so that it forms an angle of 76^{\circ} ∘ with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary.
Answer:
Step-by-step explanation:
[tex]Cos \ 76 =\dfrac{adjacent \ side}{hypotenuse}\\\\0.2419=\dfrac{x}{28}\\\\\\0.2419*28=x\\\\\\x=6.7732[/tex]
x =6.8 ft
Which equation is equivalent to 16 Superscript 2 p Baseline = 32 Superscript p 3?.
The equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,
[tex]2^{8p}=2^{5p+15}[/tex]
What is equivalent equation?Equivalent equation are the expression whose result is equal to the original expression, but the way of representation is different.
Given information-
The given equation in the problem is,
[tex]16^{2p}=32^{p+3}[/tex]
Write both the equation in the form of same base number as,
[tex](2^4)^{2p}=(2^5)^{p+3}[/tex]
The power of the power of a number can be written as product of both the numbers. Thus,
[tex](2)^{4\times2p}=(2)^{5\times(p+3)}\\2^{8P}=2^{5P+15}[/tex]
This is the required equation.
Now if the base is the same at both side of the expression, then the powers can be compared. Thus,
[tex]8p=5p+15[/tex]
Solve it further to find the value of p as,
[tex]8p-5p=15\\3p=15\\p=5[/tex]
Thus the equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,
[tex]2^{8p}=2^{5p+15}[/tex]
Learn more about the equivalent expression here;
https://brainly.com/question/2972832
Answer:
C
Step-by-step explanation:
good luck
Geometry problem in the picture: round to the nearest tenth
Answer:
51.2
Step-by-step explanation:
Solve for w.
6w= 18-3w
Simplify your answer as much as possible.
19
Answer:
w=2
Step-by-step explanation:
[tex]6w= 18-3w[/tex]
[tex]6w+3w=18-3w+3w[/tex] (Add 3w to both sides)
[tex]9w=18[/tex]
[tex]\frac{9w}{9}=\frac{18}{9}[/tex] (Divide both sides by 9)
[tex]w=2[/tex]
Hope this helps!
Hey there!
6w = 18 - 3w
18 - 3w = 6w
-3w + 18 = 6w
SUBTRACT 6w to BOTH SIDES
-3w + 18 - 6w = 6w - 6w
SIMPLIFY IT!
-9w + 18 = 0
SUBTRACT 18 to BOTH SIDES
-9w + 18 - 18 = 0 - 18
CANCEL out: 18 - 18 because it gives you 1
KEEP: 0 - 18 because it help solve for the w-value
NEW EQUATION: -9w = 0 - 18
SIMPLIFY IT!
-9w = -18
DIVIDE -9 to BOTH SIDES
-9w/-9 = -18/-9
CANCEL out: -9/-9 because it gives you 1
KEEP: -18/-9 because it give you the x-value
NEW EQUATION: x = -18/-9
SIMPLIFY IT!
x = 2
Therefore, your answer is: x = 2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Given the two rectangles below. Find the area of the shaded region.
Answer:
75 units²
Step-by-step explanation:
Bigger rectangle: length * width
: 10 * 9
: 90 units²
smaller rectangle: length * width
: 3 * 5
: 15 units²
Shaded region = Bigger rectangle - smaller rectangle
= 90 units² - 15 units²
= 75 units²
can y'all help me please
Answer:
options 1 & 4
Step-by-step explanation:
The difference of 5 and 3:
5-3
One fourth of this difference:
(1/4) × (5-3)
Hope this helps
find the slope and y-inercep for y=x+4
Answer:
gradient = 1
y-intercept = 4
Step-by-step explanation:
the equation for a linear graph is y = mx+c, where m is the gradient, and c is the y-intercept.
hence, the gradient of the equation is 1 and the y-intercept is 4.
Previous
37
Question
Each side of quadrilateral TVWX is tangent to ⊙Y. Find the perimeter of the quadrilateral.
keeping in mind that tangent lines to the same circle when intersecting each other outside the circle are the same length, Check the picture below.
If the edge of a cube measures 8 cm. Find it volume, its surface area
Answer:
Volume: 512cm
Surface Area: 384 cm
Step-by-step explanation:
Volume formula: V= length x width x height
Surface Area formula: A= 6a^2 ; a = edge
What is 20 times 49087
help me with geometry please
Answer:
x=7
Step-by-step explanation:
we have,
7x-7=4x+14 use the transposing method
7x-4x=14+7
3x=21
x=21/3
x=7
can you mark me brainliest please
Help me please I need help
Answer:
Step-by-step explanation: you need to dived by3000
another real estate agent sold a house for $315,000 last week if her commission is 1.25% of the selling price of the home find the amount of her commission. Please explain
Answer:
$ 3937.5
Step-by-step explanation:
First, we convert 1.25% into a decimal.
That would be .0125.
Now we multiply the decimal with the whole number to find our answer.
315000 × .0125 = 3937.5
Therefore, 3937.5 would be the amount of her commission.
-kiniwih426
plsss help me!!
find x and y
y= x-5
y= -7x+11
Answer:
x = 2
y = -3
Step-by-step explanation:
make them equal to each other
x-5 = -7x + 11
8x = 16
x = 2
put 2 back in the equation to get y
y = 2 - 5
y = -3
Answer:
x = 2
y = -3
Step-by-step explanation:
Solve using substitution.
Substitute x-5 for y:
x - 5 = -7x + 11
Add 7x to both sides
8x - 5 = 11
Add 5 to both sides
8x = 16
Divide both sides by 8
x=2
Plug 2 back in for x to solve for y:
y = x - 5 = 2 - 5 = -3
(x, y)=(2, -3)
Tlaloc pumped up 56 balls. He pumped up 5 dodge balls for every 9 other balls. Complete the table.
Total balls will be 14, dodge balls will be 20 and the number of other balls will be 36.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In another word, the equation is a set of variables that have been constructed.
In other words, an equation is a set of variables that are constrained through a situation or case.
The total ball will be the sum of dodge ball + other ball so it will be
5 + 9 = 14
The number of pumped up for a single ball
56/14 = 4
So the number of Tlaloc pumps of dodge ball will be 5 × 4 = 20.
Number of Tlaloc pump of other ball = 9 × 4 = 36.
For more about the equation
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14
2. You have $35 saved, and you receive $5 each week for your allowance. You want to purchase sneakers
that cost $250. Write an equation that calculates how much money you are saving if you don't spend any
of your allowance, How many weeks do you need to save before you can afford to buy the sneakers?
What is 7(4+y)?? Please help me
Answer:
28+7y
Step-by-step explanation:
7(4+y) = (7 · 4) + (7 · y)
= 28 + 7y
6. Graph the function f(x) = 2* - 3. 5 4 3 2+ 1 + 3 N- 1 0 1 N- 3 4 5 1 2 3 4 57
Answer:
x<1.5.
Step-by-step explanation:
hope this helped <3
The graph of function f (x) = 2ˣ - 3 is shown in figure.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ f (x) = 2ˣ - 3
Now, We get;
At x = 1;
⇒ f (x) = 2ˣ - 3
⇒ f (1) = 2 - 3 = - 1
At x = 2;
⇒ f (x) = 2ˣ - 3
⇒ f (2) = 2² - 3 = 1
Hence, The graph is passing through (1, - 1) and (2, 1).
Thus, The graph of function f (x) = 2ˣ - 3 is shown in figure.
Learn more about the function visit:
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hi i am a little girl i need help whats 1 x 1
Answer:
1
Step-by-step explanation:
how many times does 1 goes to 1 which is equal to 1
1 x 1 = 1! I'm happy to help ;)
A cube has eight vertices (corners) and twelve edges. A segment, such as x, which joins two vertices not joined by an edge is called a diagonal. Segment y is also a diagonal. How many diagonals does a cube have?
a. 6
b. 8
c. 12
d. 14
e. 16
Answer:
On each face, there are $2$ diagonals like $x$. There are $6$ faces on a cube. Thus, there are $2\times 6 = 12$ diagonals that are "x-like".
Every "y-like" diagonal must connect the bottom of the cube to the top of the cube. Thus, for each of the $4$ bottom vertices of the cube, there is a different "y-like" diagonal. So there are $4$ "y-like" diagonals.
This gives a total of $12 + 4 = 16$ diagonals on the cube, which is answer {E}
Step-by-step explanation:
There are $8$ vertices on a cube(A, B, C, D, E, F, G, H). If you pick one vertice, it will have 7 line segments associated with it, so you will have $\frac{8\cdot7}{2} = 28$ segments within the cube. The division by $2$ is necessary because you counted both the segment from $A$ to $B$ and the segment from $B$ to $A$.
But not all $28$ of these segments are diagonals. Some are edges. There are $4$ edges on the top, $4$ edges on the bottom, and $4$ edges that connect the top to the bottom. So there are $12$ edges total, meaning that there are $28 - 12 = 16$ segments that are not edges. All of these segments are diagonals, and thus the answer is $\boxed{E}$.
help me pls and tell me every step( I will give crown)
Answer:
42
Step-by-step explanation:
fir a 100% is missing 40
divide 28 by 4 and then multiply by 6
Answer:
42 students
40%
72 (end of number line)
Explanation:
How to find the percentage for the 28 students:
100% - 60% = 40%
Knowing that, we now know 28 = 40%. We need to figure out what 10% is equal so we can figure out what 60% is equal.
How to find 10%:
28 ÷ 4 = 7
10% = 7 students
How to find 60% of students:
10 · 6 = 60
7 · 6 = 42
With that information, we can find out the final sum.
40% + 60% = 100%
28 + 42 = 72.
-x+2y=17 and 2x+2y=-10
Answer:
What are you asking of us? To work out the value of X and Y?
list 3 equivalent ratios to the following and write them in all 3 ways.
7/21
Answer:
14/42, 56/168, 77/231, ...
Step-by-step explanation:
By multiplying both the nominator and the denominator by a same number, we get a different fraction but is equal to the fraction at the start.
7/21 = 7x2/21x2 = 14/42
7x8/21x8 = 56/168
7x11/21x11=77/231
Hope this helps :)
im so confused......... :/
Answer:
1/14
Step-by-step explanation:
1/7 x 1/2 there are two parts to the rectangle and one is colored so its one half.
1/7x1/2 is multiply the tops and bottoms so you get1x1 over7x2 which equals 1/14