Any value that makes an equation true is a 'solution of that equation'.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We know that;
If any number or value satisfy the given equation or makes an equation true is called solution of the given equation.
So, The complete sentence is,
Any value that makes an equation true is a ''solution of that equation.''
Learn more about the mathematical expression visit:
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One-fourth of a number is five-eighths. Find the number.
Answer:
5/32
Step-by-step explanation:
Since 5/8 x 1/4 = 5/32, that is the answer.
Key Note: When you get this type of question, multiply the second umber by the first.
1/2 - 1/5
I don’t know how to do these problems
Answer: 3/10
Step-by-step explanation: Since our denominators of 2 and 5have no
factors in common, our least common denominator is 2 · 5 or 10.
In order to get a denominator of 10 in each fraction,
we multiply top and bottom of the first fraction by 5
and top and bottom of the second fraction by 2.
That gives us 5/10 - 2/10 which is 3/10.
AB = 5x -9; BC= -2x + 12
Answer:
X=-3
Step-by-step explanation:
5x - 9
-2x + 12
(+) (-)
7x = -21
X= -3
plz mark ice bear as Brainliest
WILL GIVE BRAINLIEST! Prove that a quadrilateral ABCD with vertices A(–1, –2), B( 2, –5), C(1, –2), and D( –2, 1) is a parallelogram. Find the point of intersection of the diagonals of parallelogram ABCD. Provide your complete solutions and proofs in your paper homework and enter the numeric answers online.
Answer:
(0,-2)
Step-by-step explanation:lol rsm hw
ok so just take average of two points (-1, -2) (1, -2)
-1+1=0/2=0
-2+(-2)=-4/2=-2
You can do this with B and D too
Have fun in rsm
please helppppppppp meeeeee
Answer:
2 1/4
Before Simplifying:
9/4
After Simplifying:
2 1/4
Answer: the exact form is 9/4 decimal form is 2.25 and the mixed number form is 2 and 1/4.
Step-by-step explanation:
so take 9/10 and turn 4/10 into 10/10 and the when you divied use KFC and you turn your division sign into a multiplication sign then you just multiply 9/10 and 10/10 and you get 90/40
Then you just take the zero's off and you have 9/4 which equals 2 and 1/4
2 and 1/4 is your answer.
2. A laser printer prints 200 pages in 4
minutes. How many pages does it print in 25
minutes?
А
1000
800
2
1250
1050
Answer: I think the answer is 1250.
Step-by-step explanation:
I did 200 divided by 4 which is 50. I then multiplied 50 * 25 and got 1250.
If someone rode for 2 hours at 3 miles per hour, how far would they go?
Answer:
Six miles
Step-by-step explanation:
You multiply the two by the three (2x3) and get six (6)
Find the volume of the solid shown or described. If necessary round to the nearest tenth. What is the volume of the shed?
Answer:
Volume of shed = 38 m³
Step-by-step explanation:
Given:
Length = 5 m
Width = 2 m
Height of wall = 3 m
Height of triangular shed = 1.6 m
Find:
Volume of shed
Computation:
Volume of shed = Volume of walls + Volume of triangular shed
Volume of shed = [lbh] + [1/2][Base area]h
Volume of shed = [(5)(2)(3)] + [1/2][(5)(2)]1.6
Volume of shed = [30] + [8]
Volume of shed = 38 m³
What number should be placed in the box to help complete the division calculation of 2635 divided by 17
Answer:
divided
Step-by-step explanation:
divided 26 goes into 17. than right your numder up tope. that is hoow you divited it is easy just try.
part 5. Use the laws of sines. Please show work. Round to the nearest tenth.
Answer: 17) 41.0° 18) 60.8° 19) 36.0° 20) 19.7°
Step-by-step explanation:
Law of Cosines: a² = b² + c² - 2bc · cos A
b² = a² + c² - 2ac · cos B
c² = a² + b² - 2ab · cos C
17) a = 29, b = 13, c = 21, C = ???
c² = a² + b² - 2ab · cos C
21² = 29² + 13² - 2(29)(13) · cos C
441 = 841 + 169 - 754 cos C
441 = 1010 - 754 cos C
-569 = -754 cos C
[tex]\dfrac{569}{754}=\cos C\\\\\cos^{-1}\bigg(\dfrac{569}{754}\bigg)=C[/tex]
41.0° = C
18) a = 29.3, b = 25.7, c = 16.8, B = ???
b² = a² + c² - 2ac · cos B
25.7² = 29.3² + 16.8² - 2(29.3)(16.8) · cos B
660.49 = 858.49 + 282.24 - 984.48 cos B
660.49 = 1140.73 - 984.48 cos B
-480.24 = -984.48 cos B
[tex]\dfrac{480.24}{984.48}=\cos B\\\\\cos^{-1}\bigg(\dfrac{480.24}{984.48}\bigg)=B[/tex]
60.8° = B
19) a = 12, b = 19, c = 11, A = ???
a² = b² + c² - 2bc · cos A
12² = 19² + 11² - 2(19)(11) · cos A
144 = 361 + 121 - 418 cos A
144 = 482 - 418 cos A
-338 = -418 cos A
[tex]\dfrac{338}{418}=\cos A\\\\\cos^{-1}\bigg(\dfrac{338}{418}\bigg)=A[/tex]
36.0° = A
20) a = 10, b = 9, c = 18, A = ???
a² = b² + c² - 2bc · cos A
100² = 9² + 18² - 2(9)(18) · cos A
100 = 81 + 324 - 324 cos A
100 = 405 - 324 cos A
-305 = -324 cos A
[tex]\dfrac{305}{324}=\cos A\\\\\cos^{-1}\bigg(\dfrac{305}{324}\bigg)=A[/tex]
19.7° = A
Answer:
7) 41.0° 18) 60.8° 19) 36.0° 20) 19.7°
Step-by-step explanation:
Jade receives total employment benefits that are 17.5% of her gross annual pay. If Mary has a gross annual pay of $60,500, how much in total job benefits does she receive?
A. $71,087
B. $81,087
C. $61,087
D. $51,087
Answer:
A. $71,087
Step-by-step explanation:
The name jade and Mary contradict each other, let's assume both jade and Mary refers to the same person
Jade receives job benefits of 17.5% of her annual gross pay
Jade has an annual gross pay of $60,500
how much in total job benefits does she receive?
Total job benefits received = 17.5% of $60,500 + $60,500
= (17.5 / 100 * 60,500) + 60,500
= (0.175 * 60,500) + 60,500
= 10,587.5 + 60,500
= $71,087.5
The rounded value closest to the answer in the option is $71,087
Help i dont understand pls help :(
Answer:
B. -2
Step-by-step explanation:
All you have to do is look at 2 on the x axis and see where it lines up on the graph with the y axis. In this case, when you trace the line of 2 it matches up with -2 on the graph.
At the store, Jason find the volume of a soda pack is 423.9 in.³. If each cylinder shaped can has a height of 6 inches and a diameter of 3 inches, how many soda cans are in a pack? (Use 3.14 for pi)
Answer : The correct option is, (A) 10
Step-by-step explanation :
First we have to calculate the volume of cylinder shaped can.
Formula used:
Volume of cylinder = π r² h
where,
r = radius of cylinder
h = height of cylinder
Given:
Diameter of cylinder = 3 in
Height of cylinder = 6 in
Radius of cylinder = [tex]\frac{Diameter}{2}=\frac{3in}{2}=1.5in[/tex]
Now putting all the given values in the above formula.
Volume of cylinder = π r² h
Volume of cylinder = 3.14 × (1.5 in)² × 6 in
Volume of cylinder = 42.39 in³
Now we have to determine the number of soda cans are in a pack.
Number of soda cans are in a pack = [tex]\frac{\text{Volume of soda pack}}{\text{Volume of cylinder shaped can}}[/tex]
Number of soda cans are in a pack = [tex]\frac{423.9in^3}{42.39in^3}[/tex]
Number of soda cans are in a pack = 10
Therefore, the number of soda cans in a pack are 10.
If there are 90 calories in Three-fourths cup of yogurt, how many calories are in 3 cups of yogurt? 30 calories 202 calories 270 calories 360 calories
Answer:
360 calories
Step-by-step explanation:
you divide 3 by 3/4ths and you get 4. You then multiply 90 by 4 and the solution is 360 calories.
Answer:
360
Step-by-step explanation:
evaluate 3 + 6 x 4 - 16/2
Answer:
19
Step-by-step explanation:
Soccer ball specifications require a diameter of 8.65 inches with an allowable margin of error of 0.05 inch.
Use this information to complete these statements.
The equation that can be used to find d, the diameter of a new soccer ball, is
| ____ | = ____
The minimum possible diameter of a soccer ball is ____,
and the maximum possible diameter is ____
Answer:
Equation for new diameter: |d' - 8.65| ≤ 0.05
Minimum possible diameter = 8.60 inches
Maximum possible diameter = 8.70 inches
Step-by-step explanation:
We are told that:
Ball specifications require a diameter (d) = 8.65 inches.
Allowable margin of error = 0.05 inch
Now, since we have a value for the allowable margin of error, it means that the absolute value equation to determine the possible value or the new diameter (d') would be;
|d' - 8.65| ≤ 0.05
Minimum possible diameter = 8.65 - 0.05 = 8.60 inches
Maximum possible diameter = 8.65 + 0.05 = 8.70 inches
A recipe for 24 cookies calls for 6 tablespoons of sugar. Which of the amounts below would be a correct ratio of cookies to sugar if you were to use the recipe?
Answer:
1:4
Step-by-step explanation:
0.25 tablespoons of sugar will be used per cookie
Answer:
4 cookies per tablespoon of sugar
Step-by-step explanation:
24 cookies divided by 6 tablespoons of sugar equal 4 cookies per tablespoon of sugar
10 − 2(22 + 1) ÷ 23
help me pls thanks
Answer:
8
Step-by-step explanation:
-5x² – 2x+10 - x² + 7x +5
Answer:
-6x² + 5x + 15
Step-by-step explanation:
Combine like terms. Like terms are terms with the same amount of variables.
Reorder based on descending powers:
-5x² - x² + 7x - 2x + 10 + 5
(-5x² - x²) + (7x - 2x) + (10 + 5)
(-6x²) + (5x) + (15)
-6x² + 5x + 15 is your answer.
~
A Ferris wheel at a carnival has a radius of 38 feet. Suppose a passenger is traveling at 5 miles per hour. (A usual fact: 1 mi = 5280 ft).A) Find the angular speed of the wheel in radians per minute.B) Find the number of revolutions the wheel makes per hour.
Answer:
a
[tex]w = 11.58 \ rad/minutes[/tex]
b
[tex]R_h = 111 \ revolution\ per \ hour[/tex]
Step-by-step explanation:
From the question we told that
The radius of the wheel is [tex]r = 38 \ ft[/tex]
The speed of the passenger is [tex]v = 5 \ miles /hr = \frac{26400}{3600} = 7.33 \ ft / s[/tex]
Generally the angular speed is mathematically represented as
[tex]w = \frac{v}{r}[/tex]
=> [tex]w = \frac{7.3}{ 38}[/tex]
=> [tex]w = 0.193 \ rad/s[/tex]
now converting the seconds to minutes
[tex]w = 0.193 *60[/tex]
[tex]w = 11.58 \ rad/minutes[/tex]
Generally number of revolutions the wheel makes per minutes is mathematically represented as
[tex]R = \frac{11.58 }{2 \pi}[/tex]
[tex]R = 1.84 \ rpm[/tex]
Generally number of revolutions the wheel makes per hour is mathematically represented as
[tex]R_h = R * 60[/tex]
=> [tex]R_h = 1.84 * 60[/tex]
=> [tex]R_h = 111 \ revolution\ per \ hour[/tex]
what is the average rate of change
Answer:
The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
It is a measure of how much the function changed per unit, on average, over that interval.
At a convention there are 7 math instructors, 5 computer science instructors, 3 statistics instructors and 4 science instructors. If an instructor is selected at random, find the probability of selecting a math or science instructor. (Write your answer as a decimal, rounded to the nearest hundredth.)
Answer:
11/19
Step-by-step explanation:
Mr. Adams plans to have a swimming pool built in his backyard. He would like to have
a rectangular section and a square section for the design of his pool
Swimming Pool
- square foot
What is the total area of the swimming pool in square feet?
OF) 105 square units
OG) 26 square units
OH) 80 square units
OJ) 56 square units
Answer
56
Step-by-step explanation:
i do it on usa test prep
please answer thank you!!
Answer:
C
Step-by-step explanation:
Distribute
-6x + 20 = 15
C
just distribute
hope it helps
One cup of yogurt contains 13 g of protein. Convert this to milligrams
Answer: 13000.00mg :) hope this helps
Officer Brimberry wrote 24 tickets for traffic violations last week, but only 9 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent Help me please
Amount of decrease: 24 - 9 = 15
Percent of decrease = (15 / 24) x 100
Percent = 62.5%
If 50 percent of the families in a certain city subscribe to the morning newspaper, 65 percent of the families subscribe to the afternoon newspaper, and 85 percent of the families subscribe to at least one of the two newspapers. What percentage of the families subscribe to both newspapers?
Answer: 30%
Step-by-step explanation:
Given, Percent of families subscribe to the morning newspaper = 50%
Percent of families subscribe to the afternoon newspaper = 65%
Percent of families subscribe to at least one of the two newspapers. = 85%
Now, percentage of the families subscribe to both newspapers = % for morning newspaper + % for afternoon newspaper - % for at least one of the two newspapers
= (50+65 - 85) %
= 30 %
Hence, the percentage of the families subscribe to both newspapers = 30%
By substituting in the values of the variables, complete the addition number sentence that corresponds to the diagram below,
Answer:
[tex] a + b + c = 5 + 6 + 11 = 22 [/tex]
Step-by-step explanation:
Variable "a" and "b" represents distances on the numberline.
Variable "c" is the combined distance of the values of variable "a" and variable "b" on the numberline.
a = length of red line = |5 - 0| = |5| = 5
b = length of blue line = |11 - 5| = |6| = 6
c = length of black line (red+blue) = |11 - 0| = |11| = 11
Therefore:
[tex] a + b + c = 5 + 6 + 11 = 22 [/tex]
When writing a repeating decimal as a fraction, does the number of repeating decimal digits you use matter? Explain.
Answer:
No
Step-by-step explanation:
If you have a repeating decimal it doesn't matter who many decimal digits there are. Most repeating decimals I have encountered end up converting into a fraction that has a denominator of 9.
Hope This Helps :)
Answer:
It depends
Step-by-step explanation:
It depends on what the repeating decimal is. For instance if the decimal is a repeating 8 then you only have to use one digit. If, however, it is something like .673673673 going on forever you just need however many until it loops again. In this case you would need three, because that is how long the loop is.
Customers at a certain pharmacy spend an average of $54.40, with a standard deviation of $13.50.What are the largest and smallest amounts spent by the middle 50% of these customers?
Answer:
Largest is [tex]x_2 = \$ 63.506[/tex]
Smallest is [tex]x_1 = \$ 45.29[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = \$ 54.40[/tex]
The standard deviation is [tex]\sigma = \$ 13.50[/tex]
The largest and the smallest amount spent by 50% of the costumer is mathematically represented as
[tex]P(x_1 < X < x_2) = P(\frac{ x_1 -\mu}{\sigma } < \frac{X - \mu }{ \sigma } < \frac{ x_2 -\mu}{\sigma } ) = 0.50[/tex]
=> [tex]P(x_1 < X < x_2 ) = P(\frac{x_1 - 54.40}{ 13.50} < X < \frac{x_2 - 54.40}{ 13.50} ) = 0.50[/tex]
Given that this is normally distributed we have that
[tex]P(X <- \frac{x_1 - 54.40}{ 13.50} ) = 0.25[/tex]
and
[tex]P(X < \frac{x_2 - 54.40}{ 13.50} ) = 0.25[/tex]
From the normal distribution curve that z-score having a probability of 0.25 is
0.6745
So
[tex]\frac{x_1 - 54.40}{ 13.50} = -0.6745[/tex]
=> [tex]x_1 = \$ 45.29[/tex]
and
[tex]\frac{x_2 - 54.40}{ 13.50} = 0.6745[/tex]
=> [tex]x_2 = \$ 63.506[/tex]