Answer:
A. 45 in
Step-by-step explanation:
To find area you multiply length and width so you would multiply 9 and 10 but since it is a triangle you would divide by two
Hope this helps!
Identify the terms and like terms in the expression. 7+4p-5+p+2q
Final answer:
The terms in the expression are 7, 4p, -5, p, and 2q. The like terms in the expression are 4p and p. To simplify the expression, the like terms can be combined by adding their coefficients.
Explanation:
The terms in the expression are:
74p-5p2qLike terms in the expression are terms that have the same variable(s) raised to the same power. In this expression, the like terms are:
4p and pTo simplify the expression, we can eliminate the like terms by combining their coefficients. Adding 4p and p, we get 5p. Therefore, the simplified expression is:
7 + 5p - 5 + 2q
It is not possible to find the values of p and q without additional information.
Is x=4 solution to equation, x divided by 8 is 2? Show your work and explain how you know
Harry solves the equation 1/3t=15. He says the solution is 30. Is his solution correct.
Harry can first substitute (blank) for t. He can the multiply 1/3 by (blank) to get a product of (blank). Since 15 (blank) equal to (blank), Harry's solution (blank) correct
Answer:
Harry can first substitute 30 for t. He can then multiply [tex]\frac{1}{3}[/tex] by 30 to get a product of 10. Since, 15 is not equal to 15, Harry's solution is not correct.
Step-by-step explanation:
Harry solves the equation [tex]\frac{1}{3}t = 15[/tex]. He says the solution is 30.
Now, to check whether Harry correct or not, Harry can first substitute 30 for t. He can then multiply [tex]\frac{1}{3}[/tex] by 30 to get a product of 10. Since, 15 is not equal to 15, Harry's solution is not correct.
This is an alternate way to check the answer obtained is correct or not. (Answer)
The scale on a map is 1 inch to 3 miles. If the distance between two points is 6 inches, what proportion should you use to find the actual distance?
Answer:
Step-by-step explanation:
=
Emily served 15.08 ounces of soup to her family of 4. How much soup did each person eat?
Answer: 3.77 ounces is the correct answer hope this helps
Answer:
Step-by-step explanation:
write cos (19°) in terms of sine
Answer:
sin(71°)
Step-by-step explanation:
Sine lags behind cosine by 90°
In other word, cos(∅) = sin(90° - ∅)
cos(19°) = sin(90° - 19°)
= sin(71°)
Will mark brainiest
Answer:
N = 55
Step-by-step explanation:
make use of Pythagoras theoremwhich is :
c^2 = a^2 + b^2where c is the hypotenuse
a is the adjacent
b is the opposite
c = 73
a = 48
b = N
now plug these in the formula
73^2 = 48^2 + N^2
now make N the subject of formula
73^2 - 48^2 = N^2
3025 = N^2
[tex]\sqrt{3025} \\[/tex] = N
N = 55 --- the murder was not done with a fallen object
Use symbols Replace each with a number to make /24 >1/4 > 4/ a true statement
The numbers that replaces each blank to make the inequality a true statement are 48 and 32. The new inequality is 48/24 > 1/4 > 4/32.
In Mathematics and Euclidean Geometry, an inequality is a relation that compares two or more numbers and variables in an algebraic equation based on any of the following inequality symbols:
Less than or equal to (≤).Greater than (>).Greater than or equal to (≥).Less than (<).Based on the information provided, we can logically deduce the following incomplete inequality;
_/24 > 1/4 > 4/_
In order to make the left-hand side of the inequality true, we must have a number that is greater 1/4 or 0.25;
48/24 = 2
48/24 > 1/4
2 > 0.25 (True)
In order to make the right-hand side of the inequality true, we must have a number that is less than 1/4 or 0.25;
4/32 = 0.125
1/4 > 4/32
0.25 > 0.125 (True).
In conclusion, any number that is greater than 1/4 would make the left-hand side of the inequality true while any number that is less than 1/4 would make the right-hand side of the inequality true.
Complete Question:
Use symbols. Replace each __ with a number to make _/24 >1/4 > 4/_ a true statement.
If you invested $500 at 5% simple interest for 2 years, how much interest do you earn? Show work and answer in complete sentences to earn full credit.
If you invest $500 at 3% compounded monthly for 2 years, how much interest you do earn? Show work and answer in complete sentences to earn full credit.
Which would you rather do?
The first investment can be shown as T=500*1.05^2 which is $551.25
The second investment can be shown as T=500*e^(0.03*12*2) which is $1027.22
So the second investment is better
Hope that helped!
qasim hussain opened his account book. he obseverd that the sum of page numbers of the two pages in front of him is 93. find the page number
Answer:
The page numbers are 46 and 47.
Step-by-step explanation:
Given:
Qasim hussain opened his account book. He observed that the sum of page numbers of the two pages in front of him is 93.
Now, to find the page numbers.
Let the first page number be [tex]x.[/tex]
And the other page number be [tex]x+1.[/tex]
As, given he observed that the sum of page numbers of the two pages in front of him is 93.
According to question:
[tex]x+(x+1)=93[/tex]
[tex]x+x+1=93\\2x+1=93[/tex]
Subtracting both sides by 1 we get:
[tex]2x=92[/tex]
Dividing both sides by 2 we get:
[tex]x=46.[/tex]
So, the first page number = 46.
And the other page number = [tex]x+1=46+1=47.[/tex]
Therefore, the page numbers are 46 and 47.
5.3.4 Journal: Two-Variable Systems Elimination
I need urgent help
Answer:
1) X stands for individual acts and y, group acts. 2) Each scenario describes a different period in minutes, but each one respecting their different amounts (individual and group acts). 3) [tex]S=\left \{ 5,10 \right \}[/tex]
Step-by-step explanation:
Completing with what was found:
1) Here is a summary of the scenario your classmate presented for the talent show:Main show The main show will last two hours and will include twelve individual acts and six group acts.Final show The final show will last 30 minutes and will include the top four individual acts and the top group act.The equations he came up with are: 12x+ 6y= 120, 4x+ y= 30
1. What do x and y represent in this situation?
X stands for individual acts and y, group acts.
Besides that, In the system of equation, they represent the time for x, and the time for y.
2. Do you agree that your classmate set up the equations correctly? Explain why or why not.
Yes, that's right. Each scenario describes a different period in minutes, but each one respecting their different amounts (individual and group acts). Either for 120 minutes or 30 minutes length. And their sum totalizing the whole period.
3. Solving the system by Elimination
[tex]\left\{\begin{matrix}12x+ 6y= 120\\ 4x+ y= 30\end{matrix}\right.\\\left\{\begin{matrix}12x+ 6y= 120\\ 4x+ y= 30\:*(-3)\end{matrix}\right.\\\left\{\begin{matrix}12x+ 6y= 120\\ -12x+ -3y= -90\end{matrix}\right.\\3y=30\Rightarrow y=10\\4x+(10)=30\Rightarrow 4x=20\Rightarrow x=5\\S=\left \{ 5,10 \right \}[/tex]
A function g(x) has x-intercepts at ( 1/2,0) and (6,0). Which could be g(x)?
g(x) = 2(x + 1)(x + 6)
g(x) = (x-6)(2x - 1)
g(x) = 2(x - 2)(x-6)
g(x) = (x + 6)(x + 2)
g(x) = (x-6)(2x - 1)
Step-by-step explanation:
when you expand, it will be 2x²-13x+6=0
when you factories the quadratic equations,
the answer will be 1/2 and 6
Answer:
g(x) = (x-6)(2x - 1)
Step-by-step explanation:
Owen is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Owen will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie. Owen's songs were played on 4 more commercials than movies, and his total earnings on the royalties from all commercials and movies was $770. Determine the number of commercials and the number of movies on which Owen's songs were played.
Answer:
Owen's songs were played on 3 movies and on 7 commercials.
Step-by-step explanation:
System of Equations
Let's call C the number of commercials on which Owen's songs were played and M the number of movies on which Owen's songs were played. We know Owen's songs were played on 4 more commercials than movies, it can be expressed as
[tex]C=M+4[/tex]
Owen will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie, so his total earnings are
[tex]140M+50C=770[/tex]
We have a system of linear equations that can be easily solved by using the formula for C in the above equation
[tex]140M+50(M+4)=770[/tex]
Operating
[tex]140M+50M+200=770[/tex]
Reducing
[tex]190M=770-200=570[/tex]
Solving
[tex]M=570/190=3[/tex]
The number of commercials is
[tex]C=M+4=7[/tex]
Owen's songs were played on 3 movies and on 7 commercials.
3. Sandwich shop customers can choose the bread and meat they want.
The table shows the sandwiches that were sold on a given day.
White Bread Wheat Bread
Ham
22
24
Turkey
21
22
Tuna
What is the experimental probability that the next sandwich sold will be
tuna on wheat bread?
25
23
The experimental probability of the next sandwich sold being tuna on wheat bread is 23 out of 137 sandwiches sold, or approximately 0.168.
Explanation:The problem describes an experimental probability scenario where stopping after having recorded multiple outcomes does not affect the probability of the next outcome. Experimental probability is calculated by taking the number of times an event occurs and dividing it by the total number of trials.
In this case, a total of 137 sandwiches were sold (22 ham on white bread + 24 ham on wheat bread + 21 turkey on white bread + 22 turkey on wheat bread + 25 tuna on white bread + 23 tuna on wheat bread). Out of these, 23 were tuna on wheat bread.
The experimental probability of the next sandwich being a tuna on wheat bread is therefore 23/137, or approximately 0.168, if this same pattern continues.
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pqr is similar to xyz what is the perimeter of xyz? A.21cm B.63cm C. 105cm D.126cm
Answer:
option D. 126 cm
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In this problem
Triangles PQR and XYZ are similar by AA Similarity Theorem
so
[tex]\frac{XY}{PQ}=\frac{YZ}{QR}=\frac{XZ}{PR}[/tex]
Let
z ---> the scale factor
[tex]z=\frac{XY}{PQ}[/tex]
substitute the given values
[tex]z=\frac{30}{5}=6[/tex]
step 2
Find the perimeter of triangle XYZ
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
Let
z ----> the scale factor
p_1 ----> the perimeter of triangle XYZ
p_2 ---> the perimeter of triangle PQR
so
[tex]z=\frac{p_1}{p_2}[/tex]
The perimeter of triangle PQR is
[tex]p_2=5+10+6=21\ cm[/tex]
we have
[tex]z=6\\p_2=21\ cm[/tex]
substitute
[tex]6=\frac{p_1}{21}[/tex]
[tex]p_1=6(21)=126\ cm[/tex]
therefore
The perimeter of triangle XYZ is 126 cm
The Perimeter of ΔXYZ that is similar to ΔPQR is: 126 cm.
What are Similar Figures?The corresponding side lengths of similar figures are proportional, that is, their ratios are equal.
Given that ΔPQR and ΔXYZ are similar, we would have the following ratios:
PQ/XY = PR/XZ = QR/YZ
PQ = 5 cmPR = 6 cmQR = 10 cmXY = 30 cmFind XZ and YZ using their ratios:
PQ/XY = PR/XZ
Substitute
5/30 = 6/XZ
XZ = (6 × 30)/5
XZ = 36 cm
5/30 = 10/YZ
YZ = (10 × 30)/5
YZ = 60 cm
Perimeter of ΔXYZ = XY + XZ + YZ
Perimeter of ΔXYZ = 30 + 36 + 60
Perimeter of ΔXYZ = 126 cm.
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which ordered pair are solutions to this equation? y=2x-3
To find the solutions to the equation y = 2x - 3, substitute different x-values and solve for y.
Explanation:The given equation is y = 2x - 3.
To find the ordered pairs that are solutions to this equation, substitute different x-values and solve for y.
Let's take the first ordered pair (294.5, 61) as an example:
Plug in x = 294.5 into the equation: y = 2(294.5) - 3Simplify: y = 589 - 3 = 586Therefore, the ordered pair (294.5, 61) is not a solution to the equation y = 2x - 3.
Repeat the same process for the other two ordered pairs to determine if they are solutions to the equation.
Alex is practicing his dives at a pool. He dives from the diving board that is 15 feet above the surface of water. His dive takes him 15 feet below the surface of water. Alex says that the two distances are opposites, so his total dive distance is 15+ -15 equals 0 feet. Are the two distances opposite? Is Alex his total dive distance correct? Explain your reasoning. Show your work. Use models, positive and negative numbers, and words to explain your answer.
Answer:
Alex is wrong in calculating his dive distance.
Actual distance of his Dive is 30 feet.
Step-by-step explanation:
Given:
Distance from where he dive from = 15 feet
Distance he reached after dive = 15 feet
Also Given:
Alex says that the two distances are opposites,
Also Total distance of dive according to Alex = 15 +-15 =0 feet
Solution:
Now we know that;
The diving board is 15 feet above the water level, and then he reached 15 deep in the water, but here it is important to know that even he is above the surface of the water he is diving in the water and then he reached 15 deep in the water.
So the two distances are in the same direction.
From above scenario we can say that
Total Distance of dive will be = 15 +15 =30 feet.
Hence We can say that Alex is wrong in calculating his dive distance. Actual Dive distance is 30 feet.
which graph represents decreasing distance with increasing time?
Answer: B, the second one
Step-by-step explanation:
In the first one your distance stays the same while your time increases. The second one the distance decreases as the time increases, the third one is a double increase and than the last one the distance stays the same as the time increases and than changes to Decrease increases
Answer:
B is the corrcet one! :)
Step-by-step explanation:
8m^3 + 2m^3 + 49m^2 .
Answer:
[tex]m^2(10m+49)[/tex]
Step-by-step explanation:
[tex]Given \ \ 8m^3+2m^3+49m^2\\\\=m^3(8+2)+49m^2 \ \ \ \ \ \ \ (adding\ like\ terms)\\\\=10m^3+49m^2\\\\=10m\times m^2+49m^2\\\\=m^2(10m+49)[/tex]
What is 4 raised to the power of 2 ÷ 2 raised to the power of 3
Newport Township is building a new playground area for which expression represents the length of one of the
neighborhood kids. The playground will be a square with playground's sides?
a perimeter of 56+8/3
An equivalent expression is 56 + 8(1/3x)
The answer is 14+2/3x
I hoped this helped :)
Kathy found $0.29. Now she has a total of $1.00. How much money did Kathy have to start?
Answer:
71 cents
Step-by-step explanation: Well it would be $1.00 minus the 29 cents she just got So 100 minus 29 is 71 it’s easy to do it in your head just think of 100 minus 30 and it’s 70 then subtract 1 from 30 and add it to the 70
Answer:
$0.71
Step-by-step explanation:
make $1.00 "100"* and $0.29 "29"* and subtract 100 and 29 to get "71" then turn the "71" into $0.71**
* this is done by making it a percentage by moving two units to the right
** this is done by making it a decimal by moving to units to the left
An 18% tip is given for a meal. What expression represents the total cost with tip
The total cost of a meal with an 18% tip is calculated by converting the tip to a decimal (0.18), multiplying it by the meal cost, and adding it to the original cost. For a $72 meal, the total with tip would be $84.96.
Explanation:To calculate the total cost of a meal including an 18% tip, you first convert the tip percentage to a decimal by dividing by 100. For an 18% tip, this gives you 0.18. Then, multiply the cost of the meal by this decimal to find the amount of the tip. Finally, add the tip to the original cost of the meal to find the total cost including the tip.
Example Calculation
If the cost of the meal is $72, the tip would be calculated as follows:
Convert the tip percentage to a decimal: 18% = 0.18Multiply the cost of the meal by the decimal to find the tip: 0.18 imes $72 = $12.96Add the tip to the original cost of the meal to get the total cost: $72 + $12.96 = $84.96Therefore, the total cost of the meal with an 18% tip would be $84.96.
What expression is equivalent to 7m+5.5m(2+m)
Answer: 12.5m(2+m)
Step-by-step explanation:
Sean is building a model ramp for his toy cars. The diagram shows the dimensions of the ramp.
Sean needs to figure out how much paint he needs in order to cover all of the sides of his ramp. What is the surface area of the ramp?
A) 102 cm2
B) 210 cm2
C) 258 cm2
D) 432 cm2
Option B is correct, the surface area of the ramp will be 210 square cm.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Let h be the height and b be the base of the triangle. Let L₁, L₂, and L₃ be the length and W be the width of the rectangle.
Then the surface area of the triangular prism will be given as,
Surface area = 2 Area of triangle + 3 Area of rectangle
Surface area = (h x b) + (L₁ + L₂ + L₃) x W
Sean must determine how much paint he will use to cover all of the edges of his ramp.
The surface area of the ramp is calculated as,
SA = (8 x 6) + (5 + 6 + 7) x 9
SA = 48 + 18 x 9
SA = 48 + 162
SA = 210 square cm
Hence, the surface area of the ramp will be 210 square cm. Then the correct option is B.
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What is the median of the data: 76 54 92 88 76 88 75 93 92 68 88 76 76 88 80 70 88 72
Answer:
Median = 78
Step-by-step explanation:
Arrange the data in ascending order
54 68 70 72 75 76 76 76 76 80 88 88 88 88 88 92 92 93
Total number = 18
Median = average of middle terms = average of 9th and 10th term
= ( 76 + 80)/2 = 156/2 = 78
What is 24 % 0.4 in mathematics
Salim has 9 five-dollar bills and ten-dollar bills in his
wallet. The total amount in his wallet is $60. This situation
can be represented with the system x + y = 9 and
5x + 10y = 60, where x represents the number of five-dollar
bills and y represents the number of ten-dollar bills.
How many five- and ten-dollar bills does Salim have?
The number of five- and ten-dollar bills that Salim has are; 6 and 3
How to solve simultaneous equations?We are given two equations;
x + y = 9 - - - - (eq 1)
5x + 10y = 60 - - - (eq 2)
Where;
x represents the number of five-dollar bills.
y represents the number of ten-dollar bills.
Making x the subject in eq 1 gives;
x = 9 - y
Put 9 - y for x in eq 2 to get;
5(9 - y) + 10y = 60
45 - 5y + 10y = 60
5y + 45 = 60
5y = 60 - 45
5y = 15
y = 15/5
y = 3
Thus;
x = 9 - 3
x = 6
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Find the sum of 2 4/5 + 1 7/15
Answer:
2.73
Step-by-step explanation:
2 4/5 + 17/15
8/5 + 17/15
By Elysium
(24 + 17)/15
41/15
2.73
Two trains, train A and train b Weigh a total of 354 tons. Train A is heavier than train b. The difference of their weights is 314 tons. What is the weight of each train
the weight of train A is 334 tons, and the weight of train B is 20 tons.
Let's denote:
- The weight of train A as x tons,
- The weight of train B as y tons.
We're given two pieces of information:
1. The total weight of both trains is 354 tons: [tex]\( x + y = 354 \)[/tex].
2. Train A is heavier than train B by 314 tons: [tex]\( x = y + 314 \).[/tex]
Now, we can set up a system of equations using these two pieces of information and solve for x and y.
From equation (2), we have:
[tex]\[ x = y + 314 \][/tex]
We can substitute this expression for x into equation (1):
[tex]\[ (y + 314) + y = 354 \][/tex]
Now, let's solve for y:
[tex]\[ 2y + 314 = 354 \][/tex]
[tex]\[ 2y = 354 - 314 \][/tex]
[tex]\[ 2y = 40 \][/tex]
[tex]\[ y = \frac{40}{2} \][/tex]
[tex]\[ y = 20 \][/tex]
Now that we have found the weight of train B, we can substitute this value into equation (2) to find the weight of train A:
[tex]\[ x = 20 + 314 \][/tex]
[tex]\[ x = 334 \][/tex]
So, the weight of train A is 334 tons, and the weight of train B is 20 tons.