Answer:
w = 22 in, h = 8 in.
Step-by-step explanation:
Reading the problem, I immediately see two equations. This hints me towards a system of equations problem.
Statement 1 is The width of a triangle is six more than twice the height.
The width (w) of a triangle is (=) six (6) more (+) than twice (2) the height (h).
Equation 1: w = 6 + 2h
Statement 2 is The area of the triangle is 88 in2.
The formula for the area of a triangle is [tex]\frac{wh}{2}[/tex]. So, we get our second equation.
Equation 2: wh/2 = 88
We see that we have the same number of equations as unknowns, two. This is important as it lets us know that we can find two unknowns in the two equations. If there are more unknowns than equations, then we cannot find the values of all the variables. Look for another equation in the problem. However, if the # equations greater than or equal to number of unknowns, then we are ready to start solving! So, we can now move to solving.
Equation 1 isolates one of the unknowns (w). So, we can replace w in the second equation with the right side of eq 1. Then, we simplify for h.
[tex]\frac{wh}{2} = 88[/tex]
[tex]\frac{(6 + 2h)h}{2} = 88[/tex]
[tex]\frac{6h + 2h^2}{2} = 88[/tex]
[tex]6h + 2h^2 = 176[/tex]
[tex]2h^2 + 6h - 176 = 0[/tex]
[tex]h = -11, 8[/tex] (assuming you know how to solve quadratics)
Since we know that heights of triangles cannot be negative, we find that [tex]h = 8[/tex] in.
For the final step, we plug [tex]h[/tex] into our first equation to find [tex]w[/tex].
[tex]w = 6 + 2h[/tex]
[tex]w = 6 + 2(8)[/tex]
[tex]w = 6 + 16[/tex]
[tex]w = 22[/tex]
So, the answer is w = 22 in, h = 8 in.
To check if we were right, we can plug the values into both equations to see if they are equal. I will skip equation 1 since we used that equation "as-is" to find w.
[tex]\frac{wh}{2} = 88[/tex]
[tex]\frac{22 * 8}{2} = 88[/tex]
[tex]11 * 8 = 88[/tex]
[tex]88 = 88[/tex]
The solution checks out!
Josie calculated 1/5+2/7 and said the answer was 2/7 explain how you know that Josie's answer dose not make sense
[tex]\stackrel{\textit{something added to it}}{\boxed{\cfrac{}{} \qquad }+\cfrac{2}{7}}\implies \stackrel{\textit{will be greater than }\frac{2}{7}}{\cfrac{2}{7}+\textit{that something}}[/tex]
A box of pens cost $6.50 and a box of pencils is $4.00. Jane gets 15% commission of each box of pencils sold. Calculate Jane's commission if sells 20 boxes
Answer:
$12
Step-by-step explanation:
Jane's commission is the product of sales and her rate.
commission = (20)($4.00)(0.15) = $12.00
Jane's commission is $12.00 if she sells 20 boxes of pencils.
how to find the circumference with a radius
Answer:
The perimeter or circumference of the circle can be found using the equation C=2π(r), where r= the radius of the circle. Since we have two semi-circles we can find the circumference of one whole circle with a radius of 4, which would be 8π.
Answer:
the circumference is pi*diameter. diameter is radius*2, and so (radius*2)*pi is the circumference
ABCD is a parallelogram.the length of AB is 15 what is the the length of CD
rhombus opposite sides are equal.
So, CD = 15
What is the coefficient in this expression?
3/4mn
4
n
34
3
Since it is the term that multiplies the variables, the coefficient is of [tex]\frac{3}{4}[/tex].
In an algebraic expression, the coefficient is the term that multiplies the variables.
In this problem, the expression is:
[tex]\frac{3}{4}mn[/tex]
The variables are m and n.They are multiplied by [tex]\frac{3}{4}[/tex]Hence, the coefficient is of [tex]\frac{3}{4}[/tex].
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Find an expression that gives you a quotient
of 16
Answer: Does 32/2 work it equals 16
Step-by-step explanation:
The number expression would be 32/2 which gives 16 after applying the arithmetic operation.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
The quotient is 16
Let us assume 32 and 2 are the numbers that can be use in the number expression
The number expression is:
= 32/2
= 16
Thus, the number expression would be 32/2 which gives 16 after applying the arithmetic operation.
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The average of 5 consecutive whole numbers is 2021. What is the average of the first 3 of these numbers? please help me
Answer:
2020
Step-by-step explanation:
if it is 5 consecutive numbers, it means it needs to be 2019, 2020, 2021, 2022, 2023
it is the number in the middle.
for the first 3 numbers, it is 2019, 2020, 2021
the middle number is 2020
Given m \| nm∥n, find the value of x. m n t (4x+4)° (2x-16)° Answer:
Answer:
4x+4)° (2x-16)
Step-by-step explanation:
(4x+4)° (2x-16)°
which of the following is a multiple of 2
A. 2461
B. 1000
C. 75
D. 847
the answer is B. 2*500
1000
This is the answer
Step-by-step explanation:
Because it has 0 at the last
and 0 is divisible by 2
The only number that is a multiple of 2 among the given options is B. 1000.
To determine which of the given numbers is a multiple of 2, we need to check if the number is divisible by 2 without leaving a remainder. In other words, if a number is even, it is divisible by 2.
Let's examine each option:
A. 2461: This number is not divisible by 2 since it ends in 1, which makes it an odd number.
B. 1000: This number is divisible by 2 because it ends in 0. Even numbers always end in 0, 2, 4, 6, or 8.
C. 75: This number is not divisible by 2 because it ends in 5, which is an odd number.
D. 847: This number is not divisible by 2 since it ends in 7, which makes it an odd number.
Therefore, the only number that is a multiple of 2 among the given options is B. 1000. It is divisible by 2 and is an even number.
Knowing whether a number is a multiple of 2 is important in various mathematical and computational operations, such as determining divisibility, performing parity checks, and optimizing algorithms that involve even numbers.
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how do I solve this?
Its g is increasing
I guess you could just plug in 0, 1 and -1 and graph it.
30/5.472 i need to use dividing decimals
Answer:
18.240
Step-by-step explanation:
Change the divisor 0.3 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.
We then have the equations:
54.72 ÷ 3 = 18.240
and therefore:
5.472 ÷ 0.3 = 18.240
Both calculated to 3 decimal places.
1 8. 2 4 0
3 5 4. 7 2 0
− 3
2 4
− 2 4
0 7
− 6
1 2
− 1 2
0 0
− 0
0
Cute Castle Toy Store is having its annual holiday sale, when every toy in the store gets
marked down. During the sale, Ted purchases 4 Mighty Muscle action figures to add to his
collection, each at $3 less than full price. Ted pays a total of $92. How much does each
Mighty Muscle action figure cost at full price?
Each Mighty Muscle action figure cost $26 at full price.
Let x represent the cost of Mighty Muscle action figure at full price.
He bought 4 Mighty Muscle action at $92, hence:
4(x - 3) = 92
Simplifying the parenthesis:
4x - 12 = 92
Add 12 to both sides:
4x - 12 + 12 = 92 + 12
4x = 104
Dividing both sides by 4:
4x/4 = 104/4
x = 26
Therefore, each Mighty Muscle action figure cost $26 at full price
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f(x) =2^x−4
g(x) = 5/x
evaluate g(f(2))=
Answer:
not possible
Step-by-step explanation:
f(2)=2^2-4=0
g(f(2))=5/0 it's not possible
La probabilidad de que julio salga con carla es 0.75 , y la probabilidad de que salga con marisol es de 0.50. Si la probabilidad de que salga con carla o marisol es 0.85; calcular la probabilidad de que salga con ambas a la vez
La probabilidad de que Julio salga con Marisol y Carla al mismo tiempo es 0.40
What is the addition rule of probability for two events?For two events A and B, we have:
Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.
This can be written symbolically as:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
Given that;
The probability that Julio goes out with Carla is 0.75, and
the probability that he goes out with Marisol is 0.50.
The probability that he goes out with Carla or Marisol is 0.85
To find:
The probability that he will date both at the same time.
Let we take:
A = event that Julio goes with Carla
B = event that Julio goes with Marisol, then, the given expression is symbolically represented as:
[tex]P(A) = 0.75\\[/tex][tex]P(B) = 0.50[/tex][tex]P(A \cup B) = 0.85[/tex]To find: [tex]P(A \cap B)\\[/tex]
Using the addition rule, we get:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)\\0.85 = 0.75 + 0.50 - P(A \cap B)\\P(A \cap B) = 1.25 - 0.85 = 0.40[/tex]
Thus, the probability that Julio will date Marisol and Carla at the same time is 0.40
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The probability that Julio will date Marisol and Carla at the same time is 0.40.
Here, we have, For two events A and B, we have:
Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.
This can be written symbolically as:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
Given that;
The probability that Julio goes out with Carla is 0.75, and
the probability that he goes out with Marisol is 0.50.
The probability that he goes out with Carla or Marisol is 0.85
To find:
The probability that he will date both at the same time.
Let we take:
A = event that Julio goes with Carla
B = event that Julio goes with Marisol, then, the given expression is symbolically represented as:
P(A) = 0.75
P(B) = 0.50
P(A∪B)= 0.85
To find: P(A ∩ B)
Using the addition rule, we get:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
0.85 = 0.75 + 0.50 - P(A ∩ B)
P(A ∩ B) = 0.40
Thus, the probability that Julio will date Marisol and Carla at the same time is 0.40.
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complete question:
The probability that Julio dates Carla is 0.75, and the probability that he dates Marisol is 0.50. If the probability that he goes out with carla or marisol is 0.85; Calculate the probability that he will date both at the same time.
PLEASE HELP! Economics
100 francs = 50 dollars
Exchange rate = 50/100
= 1/2
= 0.50 dollars per franc (C)
Note :-
It's dollars per franc because here the dollar has more value.
______
RainbowSalt2222 ☔
Answer:
Im pretty sure it is c
Step-by-step explanation:
can someone plz help with this
Answer:
What is it we should help you with
Which linear equation would produce a y-intercept of (0,-7) and a slope of 5?
-2.875 greater than or less than -2 7/8
Answer:
They are both the same.
Step-by-step explanation:
-2.875
7/8 = 0.875 thus -2 7/8 is equal to -2.875
3a) A box contains trays of melons, There are 15 melons in a tray. There are 3 trays in a box. A supermarket sells 40 boxes of melons. How many melons does the supermarket sell?
Answer:
1,800
Step-by-step explanation:
15 x 3 x 40 = 1,800
( A box)
Can someone please me help
Answer:
Step-by-step explanation:
the answer is 1.1324
im giving brainliest to who ever needs it
Answer:
heck ya
Step-by-step explanation:
if u help me ill give u brainliest
Answer:
150000000
Step-by-step explanation:
30x5000000=150000000
A canoe travels 8 miles per hour downstream and 2 miles per hour upstream.
Let x represent the canoe's speed with no water current (still water) and y
represent the speed of the water current, in miles per hour. Then the situation
can be represented by this system of equations:
X+ y = 8
x - y = 2
Choose the two correct options.
A. The speed of the canoe in still water is 3 miles per hour.
B. The speed of the water current is 5 miles per hour.
C. The speed of the water current is 3 miles per hour.
D. The speed of the canoe in still water is 5 miles per hour.
Answer:
D
Step-by-step explanation:
I know this is super late and you probably don't need this, but for anyone who needs it, here is the answer!
Answer:
D and C
Step-by-step explanation:
We are doing the elimination method. We are subtracting so we can eliminate the x variable
x + y = 8
- (x - y = 2)
---------------------
0x + 2y = 6
(0x is there just to show that x is eliminated but the equation is now just 2y = 6)
now solve for y (divide 2 on both sides)
y = 3
Now we can use Y to find x. Use any equation (either x + y = 8 or x - y = 2) and then plug in the y value.
x - 3 = 2.
Add 3 on both sides and you get
x = 5
Now! From the question we see that x is canoe speed and y is water current speed. And since x is 5 and y is 3, the answer is D and C since the water current is 3 and canoe speed is 5. Hope this helps!!
20% of 50. Mathmethics
Answer:
1000%
Step-by-step explanation:
just multiply both
brainliest pls
Answer:
10
Step-by-step explanation:
20 x 50
100
The number of eggs Mia can sell varies directly with the number of chickens she owns. The more hens she owns, the more
eggs she can sell. If she has 38 eggs each week when she owns 6 chickens, then how many eggs will she get if she has 15
chickens?
If there are 15 chickens. Then the number of eggs will be 95.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The number of hens Mia has directly affected how many eggs she can sell. She can sell more eggs if she has more chickens. If she has 6 hens and produces 38 eggs every week.
Let the number of eggs be x. Then the equation is written as,
x / 15 = 38 / 6
x = 95
If there are 15 chickens. Then the number of eggs will be 95.
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Please take a look at the picture
Answer:
x=-22.42
Step-by-step explanation:
-18.43=3.99+x
Move the variable to the left-hand side and move the constant to the right. Change their signs.
-x=3.99+18.43
Add.
-x=22.42
Change the signs on both sides of the equation.
x=-22.42
Hope this helps :)
can someone heelp me plz
Answer:
1052 is MLII, 450 is CDL, 952 is CMLII, and 942 is CMXLII.
Step-by-step explanation:
For 1052, M=1000 L=50 and II= 2 and if you add all those you get 1052. For 450, CD=400 and L=50 and if you add all those up then you get 450. For 952, CM=900 L=50 and II=2 and if you add all those up then you get 952. For 942, CM=900 XL=40 and II=2, and if you add all those up then you get 942.
An interior designer hangs canvas paintings along a hallway. If the interior designer uses canvas paintings with length measuring
9
inches and places them side by side along the hallway that has a length of
24
feet, how many paintings does the designer hang?
The number of paintings the designer can hang is 32.
In order to determine how many paintings the painter can hang, the length of the hallway would be divided by the length of the paintings.
Number of paintings = length of hallway / length of paintings
The unit of measurement of the hallway and the paintings have to be the same length,
1 foot = 12 inches
24 feet x 12 = 288 inches
Number of paintings = 288 / 9 = 32 paintings
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What is the probability of rolling a number greater than 7 on a 6-sided die rolled
A store sells 5 T-shirts for $48.05. What is the unit cost per T-shirt?
Answer:
$9.61 per shirt
Step-by-step explanation:
You take the total cost of $48.05 and divide it by the number of t-shirts which is 5.
48.05/5 = 9.61