Answer:
18z-12
Step-by-step explanation:
At a local coffee shop, three coffees and two muffins cost a total of $7.00. Two coffees and four
muffins cost a total of $8.00. How much would six cups of coffee and 1 muffin cost?
Answer:
$10.25
Step-by-step explanation:
Set up a system of equations, so 3c + 2m = 7 and 2c + 4m = 8, where c = the cost of coffees, and m = cost of muffins
To solve multiply the first equation by -2(3c + 2m=7) so you get -6c -4m = -14 now add the two equations
-6c - 4m = -14
2c + 4m = 8 notice that -6c + 2c = -4c and -4m + 4m cancels, then -14+8=-6
so we have -4c = -6 so c = $1.50
To solve for m, substitute c = 1.50 so 3(1.50) + 2m = 7, so solve for m so
4.5 + 2m = 7, 2m = 2.5, so m = $1.25
So now solve the final problem 6(1.50) + 1(1.25) = $10.25
x represents a certain number. when the number is multiplied by 3 the result is the same as adding 34 to the number x
Answer:
Equation: 3x = x + 34Solved: x = 17Step-by-step explanation (how to solve):
Write an equation: 3x = x + 34Subtract x from each side, so it now looks like this: 2x = 34Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 17I hope this helps!
The value of x is 17
What is Linear equation?An equation between two variables that gives a straight line when plotted on a graph.
Given,
x represents a certain number
Number is multiplied by 3 = 3x
Adding 34 to the number = x+34
Given,
The number x is multiplied by 3 the result is the same as adding 34 to the number x
Therefore
3x = x+34
3x-x =34
2x =34
x = 17
Hence, the value of x is 17
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What is the lateral area of the prism? PLS HELP PLS ANSWER IF YOU ACTUALLY KNOW N PLS EXPLAIN
Answer. : 72
Step-by-step explanation:
by pythog theorem, the ? side is 5.
we have 5*6 and 4*6 and 3*6, so we have 30 + 24 + 18 = 72
Please help thank you :)))
Answer:
x = 25.46
Step-by-step explanation:
[tex]x^2+9^2=27^2\\x^2+81=729\\x^2=648\\\sqrt{x^2} =\sqrt{648} \\x=25.46[/tex]
What are two different ways you could find the experimental probability of the event that martin does not draw a red marble?
Answer:
See Explanation
Step-by-step explanation:
Given [Missing Information]
[tex]Red = 12[/tex]
[tex]Blue = 10[/tex]
[tex]Green = 15[/tex]
[tex]Yellow = 13[/tex]
Way 1:
Add up the total marbles that are not red.
[tex]Not\ Red = Blue + Green + Yellow[/tex]
[tex]Not\ Red = 10 + 15 + 13[/tex]
[tex]Not\ Red = 38[/tex]
Divide by total marbles to get the probability;
[tex]Probability = \frac{Npt\ Red}{Total}[/tex]
[tex]Probability = \frac{38}{38 + 12}[/tex]
[tex]Probability = \frac{38}{50}[/tex]
[tex]Probability = 0.76[/tex]
Way 2:
Calculate the probability of choosing red
[tex]P(Red) = \frac{Red}{Total}[/tex]
[tex]P(Red) = \frac{12}{50}[/tex]
[tex]P(Red) = 0.24[/tex]
Apply complement rule (i.e. subtract it from 1)
[tex]P(Not\ Red) = 1 - P(Red)[/tex]
[tex]P(Not\ Red) = 1 - 0.24[/tex]
[tex]P(Not\ Red) = 0.76[/tex]
Does the set of numbers form a Pythagorean triple? Explain.
3, 5, 6
Choose the correct answer below.
Yes, the given numbers do not satisfy the equation a? + b2 = c?
No, because the given numbers do not satisfy the equation a² + b2 = c2.
Yes, because the given numbers satisfy the equation a2 + b2 = c2
No, because the given numbers satisfy the equation a2 + b2 = c2
Answer:
NO
Step-by-step explanation:
Either 3, 5 and 6 satisfy the Pythagorean Theorem or they do not. Here we start with a^2 + b^2 = c^2 and substitute 6 for c (because 6 is the largest of the set): Is 3^2 + 5^2 = 6^2? 9 + 25 = 36? NO
What is the ratio of the areas of two circles. The first circle with an area of 50.24 and the other with a radius 4 times that of the first.
Answer:
1:4
Step-by-step explanation:
Since the first circle has an area of 50.24 and the second circle is 4 times that, the ratio is 1:4 because for every 50.24 units of the first circle, there are 200.96 units of the second circle (which is 4 times the amount of the first circle).
whats the definition of right triangle
Answer:
a triangle with a right angle
Step-by-step explanation:
Answer: A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.
Rex is six times older than its sibling Spike. Rex's mother dino is ten times older than Rex. Rex's father dino is twice as old as Rex's mother. The sum of all the ages of the members of dino's family adds up to granduncle dino's age. The granduncle dino had just turned thousand years old the day the meteors hit the planet. How old was Rex when it became a fossil into the nearest Whole number?
Answer:
30 years
Step-by-step explanation:
Let :
Spike's age = x
Rex age = 6x
Rex mother = 10 * 6x = 60x
Rex father = 2 * 60x = 120x
x + 6x + 60x + 120x = 1000
187x = 1000
x = 1000/ 187
x = 5.34
Hence, Spike's age, x = 5 years
Rex age = 5 * 6 = 30 years
EXTRA POINTS :) what is the value of x??
Answer:
x = 17
Step-by-step explanation:
corresponding interior angles are supplementary, meaning they have to add up to 180 degrees so
6x + 8 + 4x + 2 = 180° then combine like terms ( 6x and 4x, 8 and 2 )
10x + 10 = 180 subtract 10 from both sides
-10 -10
10x = 170 divide each side by 10
/10 /10
x = 17
In the figure below, the vertices of triangle RST are on a circle.
8 in.
6 in.
s
• Line segment TS contains the center of the circle.
• The perimeter of triangle RST is 24 Inches.
What is the circle's radius?
8 inches, because d = 24 – 8 and 2 - 2 = r.
32 inches, because d = 24 – 8 and 2d=1
20 inches, because d = 24 - (8 + 6) and 2d =r
5 inches, because d = 24 - (8 + 6) and d - 2 =r
Answer:
I'm sorry for not answering but have you got the answer to this question
The degree of polynomial 4x ^2 y+x^ 2 -2y ^2 is
Answer:
degree 3
Step-by-step explanation:
The degree of a polynomial is determined by the largest exponent of the term within the polynomial.
4x²y = 4x²[tex]y^{1}[/tex] ← with exponent 2 + 1 = 3
x² ← exponent 2
- 2y² ← exponent 2
The term with the largest exponent is 4x²y with exponent 3
Then the polynomial is of degree 3
HELPPPOPPPPPP
It says round to the nearest tenth
Answer:
803.8
3.14(16)^2
3.14(256)
803.84
Answer:
Your area will be 804.2m²
Step-by-step explanation:
Half 32m because right now you have a diameter but you need the radius of the circle, which would be 16
32÷2=16m that will be your radius
Formula:
[tex]\pi \times radius^{2} [/tex]
Substitute your numbers.
[tex]\pi \times 16 ^{2} = 804.2477193[/tex]
round to the nearest tenth
804.2m²
A recipe uses 350 grams of rice. The recipe serves 4 people. Amy adapts the recipe for 10 people. How much rice does she need?
Answer:
850 grams of rice
Step-by-step explanation:
340 g / 4 people
10/4 = 2.5
340 * 2.5
850
The quantity of rice needed for 10 people if, A recipe uses 350 grams of rice, The recipe serves 4 people, is 875 grams.
What is division?The division is the basic arithmetic operation, in which you are separating the number into some parts.
Given:
A recipe uses 350 grams of rice, The recipe serves 4 people,
Calculate the quantity of rice for serving one person as shown below,
The quantity of rice for one people = Total quantity of rice / total number of people
The quantity of rice for one people = 350 / 4
Calculate the quantity of rice for 10 people as shown below,
The quantity of rice for 10 people = 350 / 4 × 10
The quantity of rice for 10 people = 3500 / 4
The quantity of rice for 10 people = 875
Thus, the quantity of rice needed for 10 people is 875 grams.
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1. Use the Pythagorean theorem to find the missing side of a right triangle that has one leg
measuring 12 inches and the other leg measuring 35 inches. * E
(50 Points)
Pythagorean Theorem Formula: a² + b2 = 2
36 inches
37 inches
O 38 inches
40 inches
Answer:
37 inches.
Step-by-step explanation:
Well, we know the formula is a²+b²=c²
So, first plug in leg one and leg two:
12²+35²=c²
Now, solve.
144+1225=c²
1369=c²
Okay, so we have to square root 1369 to find c.
The square root of 1369 is 37.
Therefore, the answer is 37 inches.
5. The graph below shows the height of a
flower based on the number of weeks since it
was planted. What is the linear equation
representing this situation?
Flower Height
13
12
11
10
A. y = 2x + 2
B. y = 3x + 3
C. y = 3x
D. y = 3x + 2
9
10
Weeks
Answer: D. y = 3x + 2
Step-by-step explanation: because that's what it shows in the graph
Answer:
D. y = 3x + 2
Step-by-step explanation:
y = mx + b,
where m = slope = rise/run,
and b = y-intercept
From the graph we see that b = 2, s we have
y = mx + 2
Now we look for the slope. Start at (0, 2), the y-intercept, go up 3, a rise of 3, and right 1, a run of 1 to the next point on a grid line intersection.
m = slope = rise/run = 3/1 = 3
Now we have
y = 3x + 2
Answer: D. y = 3x + 2
-2 [4 - 3x] + 5x - 2
Step-by-step explanation:
Given
-2 [4 - 3x] + 5x - 2
= - 8 + 6x + 5x - 2
= 11x - 10
Hope it will help :)❤
Answer:
11x-10
Step-by-step explanation:
-8+6x+5x-2
11x-10
On a map, two cities measure 5.2 inches apart. The scale of the map is 2in.16miles. What is the actual distance between the cities?
me ayudan con esta operacion? : 14 - 21 ÷ 7 + 105 ÷ 5
Answer:
32
Step-by-step explanation:
A hot liquid starts at 93 degrees F. Its temperature decreases at a
constant rate of 9% per minute after it has been placed in a refrigerator.
To the nearest degree, what is the temperature of the liquid after cooling
for 7 minutes? *
Answer:
34.41º
Step-by-step explanation:
0.93 times 9=8.37 degrees per minute
7 times 8.37=58.59
93-58.59=34.41
uh if you help ill give u 5 stars?
Answer:
He can buy no more than 4 earrings.
Step-by-step explanation:
25-9.50= 15.50
15.50÷3.75= 4.1333333
Answer:
Step-by-step explanation:
helpppppppppppp plzzzzzzzzzzzzzzzzzzz
Answer:
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}7&31\\142&19\end{array}\right][/tex] = 7(19) - 142(31) = - 4269
[tex]\left[\begin{array}{ccc}7&11&21\\55&-8&2\\-16&-1&-9\end{array}\right][/tex] = 7(- 8)(- 9) + 11(2)(- 16) + 21(55)(- 1) - 21(- 8)(- 16) - 7(2)(- 1) - 11(55)(- 9) = 1768
[tex]\left[\begin{array}{ccc}9.07&6.02&2.01\\-30.7&2.5&3.5\\3.55&-1.1&2.35\end{array}\right][/tex] = 9.07(2.5)(2.35) + 6.02(3.5)(3.55) + 2.01(- 30.7)(- 1.1) - 2.01(2.5)(3.55) - 9.07(3.5)(- 1.1) - 6.02(- 30.7)(2.35) = 647.3561
Answer:
I think it’s 6.7
Step-by-step explanation:
Sup I’m a friend….so hey✌️
Stella is sawing boards to make a deck. What is the area of the deck?
11 ft
5,
3 ft
10 ft
A. 112.5 square feet
B. 87.5 square feet
C. 120 square feet
D. 95 square feet
Answer:
87.5
Step-by-step explanation:
The area of the deck is 87.5 square feet.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
The given figure, can be divided into two triangles and 1 rectangle.
Here, area of a triangle = 1/2 ×Base×Height
= 0.5×5×3
= 7.5 square feet
Area of right triangle = 1/2 ×5×10
= 25 square feet
Area of a rectangle = Length×Breadth
= 11×5
= 55 square feet
Total area = 55+25+7.5
= 87.5 square feet
Therefore, the area of the deck is 87.5 square feet.
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aiudaaaa pliis
cuanto es 20 = 6 - 5x con explicacion por favor
Can you guys help out I these questions for a test
the first x < 3 so x could be from - 1 till 3 in this graph
the other x > - 7 so x could be from from - 7 till - 3 in this graph
write 3450 in scientific notation form. b) write 234 x 10^16 in standard form. c) Population of kuwait is 2.4million. It is 4/5 population of Hong Kong. Calculate the population of kuwiat as percentage of Hong kong population.
Answer:
a; 3.45 * 10^3
b) 2.34 * 10^18
c) 80%
Step-by-step explanation:
a) 3450 in standard form
To write in standard form, we have to place a decimal at the back of the first non-zero number
we have this as ;
3.450
The count of numbers after the decimal point is 3
This will be the power to which 10 will be raised
We have this as;
3.45 * 10^3
b) 234 * 10^16
Let us write 234 in standard form
That will be;
234 = 2.34 * 10^2
So we have ;
2.34 * 10^2 * 10^16
Using the law of indices, we have;
2.34 * 10^(2 + 16) = 2.34 * 10^18
c) From the question, Kuwait is 4/5 of Hong kong’s population
Let Honk Kong’s population be x
4/5 * x = 2.4 million
4x = 5 * 2.4 million
x = 5 * 2.4/4
x = 5 * 0.6
x = 3 million
so writing the population of Kuwait as a percentage of that of Hong kong, we have
2.4/3 * 100%
= 0.8 * 100% = 80%
Rapid Rental Car charges a $55.00 rental fee plus $0.25 per mile driven. Capital Cars charges a $45.00 rental fee and $0.35 per mile driven.
A. Write an equation that can be used to find the number of miles for which the rental cost at both companies would be the same.
Answer:
100 miles
Step-by-step explanation:
Given data
let the number of miles driven be x
and the total charge for x miles be y
Hence the expression for the total charge is
Rapid Rental Car
charges a $55.00 rental fee plus $0.25 per mile driven.
y= 55+0.25x--------------1
Capital Cars charges a $45.00 rental fee and $0.35 per mile driven.
y= 45+0.35x--------------2
Equate 1 and 2
55+0.25x= 45+0.35x
collect like terms
55-45=0.35x-0.25x
10=0.1x
x= 10/0.1
x= 100 miles
Hence the mile is 100 miles
Mrs. Johnson measured 3 rectangular rooms that she wants to tile. What is the total area of the rooms?
Answer:
Find the area of each room and add the areas
Step-by-step explanation:
Please find the full question in the attached image
the area of rectangle is length x breadth. The area of each room would be found and the three areas would be added together
for example ,
dimension of room 1 = 5 x 3
dimension of room 2 = 2 x 3
dimension of room 3 = 4 x 5
area of room 1 = 15
area of room 2 = 6
area of room 3 = 20
total area = 15 + 6 + 20 = 41
Make W the subject of the formula.
y-aw=2w-1
Please help.
Answer:
w=(y+1)/(2+a)
Step-by-step explanation:
Answer:
w=(y+1)/(2+a)
first you isolate w because u have to make 'w' the subject and bring all the value with w to one side of the equation and start eliminating those values then u will end with w as the subject
Is there a triangle whose sides have lengths 12.2 cm, 6.8 cm and 6.5 cm. If not . Why?
Answer:
yes
Step-by-step explanation:
For the given sides to form a triangle.
The sum of any 2 sides must be greater than the third side.
12.2 + 6.8 = 19 > 6.5
12.2 + 6.5 = 18.7 > 6.8
6.8 + 6.5 = 13.3 > 12.2
Thus the 3 given sides form a triangle