Step-by-step explanation: To add and subtract fractions with the same denominator, or bottom number, place the 2 fractions side by side. Add or subtract the numerators, or the top numbers, and write the result in a new fraction on the top. The bottom number of the answer will be the same as the denominator of the original fractions.
A mother is 1 and 3/4 times as tall as her son. Her son is 3 feet tall. How tall is the mother?
Answer:
The mom is 5 feet 3 inches
Step-by-step explanation:
Step 1: Make an equation
m = 1 3/4 * 3
Step 2: Solve
m = (4/4+3/4) * 3
m = 7/4 * 3
m = 21/4
m = 5.25
m = 5 feet 3 inches
Answer: The mom is 5 feet 3 inches
Answer:
5 and 1/4
Step-by-step explanation:
3 times 1.75 = 5.25
what is the value of the function f(x)=2x+5 when x=3
a) 8
b) 11
c) 13
d) 28
f(x) =2x+5
=2*3+5
=6+5
=11
=b
Answer:
b) 11
Step-by-step explanation:
step 1: f(3)=2(3)+5
substitute (plug in) the value of x which in here is 3
step 2: 2(3)=6 +5= 11
follow order of operations
P - parenthesis
E- exponent
MD- multiply and divide from left to right
AS- add and subtract from left to right
A student brought two juice pouches for $1.25 each and 3 bags of chips. The total cost was $5.05. Write and solve an equation to determine the cost of a bag of Chips,c
Answer:
x = 0.85
2 (1.25) + 3x = 5.05
Step-by-step explanation:
2 (1.25) + 3x = 5.05
2.5 + 3x = 5.05
3x = 2.55
The area of a rectangle is 4x+32. The length is 4. Find the width.
[tex]\bf \textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ A=4x+32\\ L=4 \end{cases}\implies 4x+32=4w \\\\\\ \cfrac{4x+32}{4}=w\implies \cfrac{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ (x+8)}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}=w\implies \boxed{x+8=w}[/tex]
What signs for 4 & 6 will get you to a 2?
Answer:
-4 and +6
Step-by-step explanation:
The signs of 4 and 6 that will get you to a 2 are
[tex] - 4[/tex]
and
[tex] + 6[/tex]
Putting the two together gives
[tex] - 4 + 6 = 6 - 4 = 2[/tex]
This means that, starting from -4 on the number line , move 6 units to the right.
This will land you on 2
which is the graph of f(x)= √x
Answer:
ion know
Step-by-step explanation:
you figure it out
Determine the center and radius of the following circle equation:
x2 + y2 - 6x + 6y - 82 = 0
Center:
Radius:
Pls help :)
The center of the given circle is at (3, -3), and the radius of the circle is 10. This can be determined by rearranging the equation into the standard form and then completing the square for the x and y terms.
To determine the center and radius of the circle given by the equation x2 + y2 - 6x + 6y - 82 = 0, we need to rearrange it into the standard form of a circle equation, which is (x - h)2 + (y - k)2 = r2, where (h, k) is the center and r is the radius of the circle.
First, group the x terms and the y terms: (x2 - 6x) + (y2 + 6y) = 82.
Then, complete the square for both x and y terms: (x2 - 6x + 9) - 9 + (y2 + 6y + 9) - 9 = 82. This factors to (x - 3)2 + (y + 3)2 = 82 + 9 + 9.
Finally, calculate the right side to find the radius squared: (x - 3)2 + (y + 3)2 = 100, so the circle's radius squared is 100 and the radius is 10.
Therefore, the circle's center is at (3, -3), and its radius is 10.
write each number from the box and the correct category shown in the table
Answer:
Rational:
0.75 (as a recurring number)
3.8
-12/7
Irrational:
sqrt. (3/8)
sqrt. (1/16)
sqrt. (10)
pi/2
Step-by-step explanation:
Rational numbers are parts of a whole, expressed as fractions, decimals, or percentages. They are finite, recurring, and real.
Irrational numbers have no end to their numbers, and there is no pattern to the numbers. Besides perfect square roots (like 4, 9, 16, 25, etc.), all square roots are likely irrational. Anything with pi is irrational.
Hope this helps!
Itemized Charitable Contributions The average charitable contribution itemized per income tax return in Pennsylvania is $792 . Suppose that the distribution of contributions is normal with a standard deviation of $108 . Find the limits for the middle 58% of contributions. Use a graphing calculator and round the answers to two decimal places.
Final answer:
To find the limits for the middle 58% of charitable contributions in Pennsylvania, calculate the Z-scores and use them to determine the lower and upper limits.
Explanation:
Given data: Average charitable contribution = $792, Standard deviation = $108
Find middle 58% limits:
Calculate the Z-scores for the 58% middle region: Z-score for lower limit = -0.29, Z-score for upper limit = 0.29Use Z-score formula: Lower limit = Mean - Z-score * Standard deviation, Upper limit = Mean + Z-score * Standard deviationSubstitute values to find the limits: Lower limit = $757.28, Upper limit = $826.72Luis knows that there are 16 cups in one gallon. How many cups will it take Luis to fill a 6 1/2 gallon bucket?
Answer:
104 CUPS
HOPE IT HELPS :0
An element with mass 590 grams decays by 19.5% per minute. How much of the
element is remaining after 15 minutes, to the nearest 10th of a gram?
22.8 gms
Step-by-step explanation:
Step 1:
Given,
Mass of the element = 590 gms
Percentage decay per minute = 19.5%
Step 2 :
Fraction of the element remaining at the end of 1 minute = 1 - 0.195 = 0.805
Hence the fraction of element remaining after 15 minutes = [tex]0.805^{15}[/tex] = 0.03863
So the mass of the element remaining after 15 minutes = 0.03863 * 590 = 22.8 rounded off to the nearest 10th of a gram
mass of the element remaining after 15 minutes = 22.8 gms
Answer:
22.8
Step-by-step explanation:
answered on delta math and got it correct
Jack made 5 and 1/4 dozen cookies for the bake sale and his sister made 3 and 3/4 dozen cookies how many more cookies did jack make then his sister
Answer:
3 / 2 dozen
Step-by-step explanation:
5 + 1/4 - 3 + 3/4
21/4 - 15/4
6 / 4
3 / 2
How do lenders benefit from loan modification?
Answer:
The lender reduces the amount of principal that the borrower owes, with no expectation of repayment. Debt Forgiveness is analogous to a principal reduction. This is a more effective way to reduce payments than either lowering the interest rate on the mortgage, or extending the terms.
Answer:
they avoid foreclosure cost
Step-by-step explanation:
took the bullet
How many 1/5-cup servings are in. 3/4 of a up of icecream
Answer:
3.75 or 3 3/4
Step-by-step explanation:
first put them on a common denominator of 20
1/5=4/20
3/4=15/20
then do 15 divided by 4
15/4= 3.75 or 3 3/4
Hello This is pretty Easy But i forgot the basics
Answer:
-3, -2 1/2, -2 2/5, -2 3/10, -2
Step-by-step explanation:
Answer: from least to greatest =
-2 ; -2 3/10; -2 2/5; - 2 1/2, -3
Step-by-step explanation:
Step 1: Convert fraction to decimal
Step 2: arrange in the order
Step 3: be mindful of the sign (-)
Can you guys please help me?
A kite is flying on a 100-foot string tied to a stake in the ground. If the kite has a vertical height of 80 feet, how far is it from the stake to a point on the ground directly below the kite?
A.)60
B.)100
C.)180
D.)80
Answer:
D
Step-by-step explanation:
what is 5% on $600 in sales
Answer:
Percentages can be reversed. For example:
600% of 5 is 30. Therefore $30 would be 5% of $600.
Step-by-step explanation:
The answer you are looking for is $30.
To find this answer, you must first make 5% a decimal. To do so, simply divide 5 by 100 to get 0.05. Lastly, multiply 0.05 by $600 to get $30. Thus making $30 your answer.
I hope this helps!
What is the quotient of -10 and -5?
Answer:
2.
Step-by-step explanation:
-10 divided by -5 is 2. The two negatives cancel each other out.
Answer:
two is the correct answer
Step-by-step explanation:
Can someone help me with this? Thank you :)
Answer: The area of the shaded region is 150.72 km^2
Step-by-step explanation: The first bit of information we have is that both the inner circle and the outer circle have the same center. The radius of the inner circle can be calculated since we have been given the circumference (25.12) and the value of pi (3.14). The circumference of a circle is given as
Circumference = 2 x Pi x radius
With the values available, we now have
25.12 = 2 x 3.14 x radius
25.12 = 6.28 x radius
Divide both sides of the equation by 6.28
radius = 4
Having calculated the radius of the inner circle, the area now becomes;
Area = Pi x radius^2
Area = 3.14 x 4^2
Area = 3.14 x 16
Area = 50.24 km^2
The radius of the outer circle is the addition of 4 (on the shaded region) to the radius of the inner circle and that gives us 8.
Next we calculate the area of the outer circle which is
Area = Pi x radius^2
Area = 3.14 x 8^2
Area = 3.14 x 64
Area = 200.96 km^2
Now that we have determined the area of both the inner circle and the outer circle, the area of the shaded region is simply the difference between both of them, that is
Area of shaded region = 200.96 - 50.24
= 150.72 km^2
20 points! Identify the solids that form the compos
s that form the composite solid. Then find the surface area.
Round your answer to the nearest tenth.
The composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.
The composite solid's surface area is 225.4 square inches.
Step-by-step explanation:
Step 1:
The given composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.
The surface area of the composite shape is given by summing the individual surface areas.
The composite shape's surface area = The cube's surface area + the cylinder's surface area.
Step 2:
Any cube's surface area is calculated by multiplying 6 with the square of the side length ([tex]a^2[/tex]).
The cube's surface area = [tex]6a^2[/tex] = [tex]6(5^{2} )[/tex] = [tex]150[/tex] square inches.
Step 3:
Any cylinder's surface area is calculated with the following formula;
The cylinder's surface area = [tex]2 \pi r h+2 \pi r^{2}[/tex] = [tex]2 \pi (2) (4)+2 \pi (2)^{2}[/tex] = [tex]75.398[/tex] square inches
Step 4:
The composite shape's surface area = The cube's surface area + the cylinder's surface area.
The composite shape's surface area = 150 + 75.398 = 225.398 square inches. Rounding this off, we get the area as 225.4 square inches.
7/6 = ?/48 I just need the answer to this ASAP
Answer:
56
Step-by-step explanation:
6 X 8 = 48
7 X 8 = 56
Answer:
56/48
Step-by-step explanation:
you multiply both sides by 8.
Please answer this correctly I have to finish this today as soon as possible
Answer:
Sheng
Step-by-step explanation:
Answer: Sheng
Step-by-step explanation:
First, you list the fraction of each of them. I then used the butterfly method to figure out whose fraction was smaller
What is the slope of a line that passes through (2,-5) and (6,-2)? *
Answer:
Step-by-step explanation:
Answer:4/3
Step-by-step explanation:
Which pair of expressions are equivalent? 3 v + 5 minus 9 v + 2 and negative 6 v + 6 Negative 6 n + 3 minus 2 n + 2 and negative 8 n + 6 Negative 4 n + 8 + 9 n minus 2 and 5 n + 6 10 n minus 5 minus 2 n + 3 and 5 n minus 2
Answer:
Negative 4 n + 8 + 9 n minus 2 and 5 n + 6
Step-by-step explanation:
3v + 5 - (9v + 2)
3v + 5 - 9v -2 = -6v + 3
-6v + 6
(NO)
-6n + 3 - (2n + 2)
-6n + 3 - 2n - 4 = -8n - 1
-8n + 6
(NO)
-4n + 8 + 9n - 2 = 5n + 6
5n + 6
(YES)
Answer:
The answer is c
TUVW is a rectangle. Find the value of x and the length of each diagonal if
TV = 2x -4 and UW = x + 10.
--
*show your work please & giving brainliest to correct answer*
Answer:
The value of x is 14
The length of each diagonal is 24 units
Step-by-step explanation:
Let us revise the properties of the rectangle
Each two opposite sides are parallel and equalIts four vertices are right anglesIts diagonals equal each other and bisect each otherIn rectangle TUVW
∵ TV and UW are its diagonals
∴ TV = UW
∵ TV = 2x - 4
∵ UW = x + 10
- Equate them to find x
∴ 2x - 4 = x + 10
- Subtract x from both sides
∴ x - 4 = 10
- Add 4 to both sides
∴ x = 14
The value of x is 14
Substitute the value of x in the expression of TV OR UW to find the length of each diagonal
∵ TV = 2(14) - 4
∴ TV = 28 - 4
∴ TV = 24 units
The length of each diagonal is 24 units
Final answer:
To solve for x, we equate the lengths of TV and UW, since they are opposite sides of a rectangle. Solving the equation yields x = 14. We then find the lengths of TV and UW (both 24 units), and use the Pythagorean theorem to calculate the length of the diagonal, which is approximately 33.94 units.
Explanation:
We are given that TUVW is a rectangle with sides TV and UW. We are also given that the lengths of these sides can be expressed as TV = 2x - 4 and UW = x + 10. Since TUVW is a rectangle, opposite sides are equal in length, so TV equals UW.
Setting the expressions for TV and UW equal to each other gives us:
2x - 4 = x + 10Solving for x:
2x - x = 10 + 4x = 14Now we can find the lengths of TV and UW:
TV = 2(14) - 4 = 24UW = 14 + 10 = 24Therefore, each diagonal of the rectangle is of the same length because diagonals of a rectangle are congruent. We can use the Pythagorean theorem to find the length of the diagonal:
Let d be the length of the diagonal:
d² = TV² + UW²d² = 24² + 24²d² = 576 + 576d² = 1152d = √1152d ≈ 33.94The length of each diagonal of the rectangle is approximately 33.94 units.
how do u find the value for y 6/8=y/16
Answer:
12 = y
Step-by-step explanation:
To make figuring this equation out easier, you will want to make all the fractions have the same denominator but stay equivalent to their original state. By this I mean, to get 6/8 to have the same denominator as y/16 but still be equivalent o 6/8, you will have to multiply it 2. That leaves you with 12/16 = y/16. Now that the equation has been modified, we can now solve it. You want to get the variable, y, isolated on one side of the equation. To do this, you want to multiply both sides of the equation by 16 since both sides of the equation are being divided by 16. This equation will look like this: 12/16 = y/16 --> 12 = y
I hope this helps
For the right triangle shown, which expression represents the length of CB?
A) 6 cos(35°)
B) 6 tan(35°)
C)
6
sin(35°)
D)
cos(35°)
6
Answer:
B) 6 tan(35°)
Step-by-step explanation:
from the right angle tan° = opposite / adjacent
therefore tan (35°) = (x) / 6
by multiplying 6 to both sides
tan (35°) * 6 = (x) / 6 * 6
therefore (x) = 6 tan (35°)
Answer:
B
Step-by-step explanation:
I did it on usatestprep
Use the drop-down menus to complete each statement to describe the relationship between the number of yards and the number of feet.
The yard, whose symbol is yd, is standardized as 0.9144 meters since 1959. The unit system that use it is both the imperial and the US units. On the other hand, the foot, whose symbol is ft, is standardized as 0.3048 meter. It is also used by the imperial and US units. The relationship between these two units is:
[tex]1yd=3ft \\ \\ 1ft=1/3yd[/tex]
4 2/3 - 2 1/3 plsss get me the answer
Answer:
2 1/3 or 7/3
Step-by-step explanation:
I would simplify it to 14/3 and 7/3 then subtract which you get 7/3 then simplify it to the original state which is 2 1/3. Hope this helps :)
The employees at a bank ordered 4 turkey sandwiches and 2 salads at a local deli. The total cost of the order was $25. If a salad cost 1 dollar less than a turkey sandwich, what is a cost of a turkey sandwich and the cost of a salad?
Answer:
A turkey sandwich would cost $6.50 and the salads would be $5.50
Step-by-step explanation:
The cost of a turkey sandwich is $4.5 and the cost of a salad is $3.5.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the employees at a bank ordered 4 turkey sandwiches and 2 salads at a local deli. The total cost of the order was $25.
The cost will be calculated as,
4t + 2s = 25
s = t - 1
Substitute the value of s in the first equation,
4t + 2s = 25
4t + 2(t - 1)= 25
4t + 2t - 2 = 25
6t - 2 = 25
t = $4.5
The cost of salad will be,
S = t - 1
S = 4.5 - 1
S = $3.5
Therefore, the cost of a turkey sandwich is $4.5 and the cost of a salad is $3.5.
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