Given:
A recipe combines 6 cups of nuts with 5 cups of granola.
John has 36 cups of nuts.
To find:
Number of cups of trail mix (total) does he have.
Solution:
The recipe combines 6 cups of nuts with 5 cups of granola.
The recipe combines 1 cup of nuts with [tex]\dfrac{5}{6}[/tex] cups of granola.
The recipe combines 36 cup of nuts with [tex]36\times \dfrac{5}{6}[/tex] cups of granola.
So, the number of cups of granola in trail mix is
[tex]Granola=36\times \dfrac{5}{6}[/tex]
[tex]Granola=6\times 5[/tex]
[tex]Granola=30[/tex]
Total number of cups = cups of nuts + cups of granola.
[tex]=36+30[/tex]
[tex]=66[/tex]
Therefore, the total number of cups in trail mix (total) he have, is 66.
Copy ofJIM 821 Projecting and sudi
carla Shumake
1.3: Scaled Rectangles 1
Here is a picture of Rectangle R, which has been
evenly divided into smaller rectangles. Two of the
smaller rectangles are labeled B and C.
Is B a scaled copy of R? If so, what is the scale factor?
Rectangle R
Yes
No
B
US
06:35
solve for x: X- 14= -12
Answer:
26
Step-by-step explanation:
Easy
The answer to the equation is 2
[tex]2-14=-12[/tex]
Find the distance between point G and point H.
Answer:
(7,0) is your answer
Step-by-step explanation:
count 7 over for x then bc y isn't increasing or decreasing its 0
ΔABC is reflected across a horizontal line through (0, 2). Which property changes?
Answer:
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed).
Hope this helps :)
Would 2/3 produce a larger imagine? Scale factor
Answer:
no because 2/3 is 0.6666666667
Jon filled a bucket with 2.7 gallons of water. He used 0.98 gallons for watering his tomato plants and 0.76 gallons for watering his peppers. How much water did he have left in his bucket?
Answer: quantity of water left over = 0.96 gallons
Step-by-step explanation:
Given: Total quantity of water = 2.7 gallons
Water used for tomato plants = 0.98 gallons
Water used for peppers = 0.76 gallons
Total water used = 0.98 +0.76 = 1.74 gallons
Then, quantity of water left over = Total quantity of water - Total water used
= 2.7 - 1.74 gallons
= 0.96 gallons
Hence, quantity of water left over = 0.96 gallons
Which number equals 9 cross times 100 plus 9 cross times 10 plus 0 cross times 1 plus 0 cross times 1 over 10 plus 3 cross times 1 over 100 plus 7 cross times fraction numerator 1 over denominator 1 comma 000 end fraction ?
Answer:
Step-by-step explanation:
(9x100)+(9x10)+(0x1)
Helppp plzzzzzzzzzzsnnsnsns
Answer:
Step-by-step explanation:
independent is X
dependent is Y
domain is 0 to 3
range is 4.75 to 7
:)
what is the property
3 * 1/3 =1
Answer:
1/3 = 3
Step-by-step explanation:
3* 1/3 = 1
1/3 = 1 (3)
1/3 = 3
An orthocenter is the intersection of three
angle bisectors in a triangle.
altitudes in a triangle.
medians in a triangle.
perpendicular bisectors in a triangle.
The orthocenter of a triangle is definitely the point of intersection of the three: B. altitudes in a triangle.
What is the Orthocenter of a Triangle?Considering the image attached below, the orthocenter of ΔABC is at point H.Point H, which is the orthocenter of ΔABC, is the point where the three altitudes of ΔABC intersect.DC, EA, and FB are the three altitudes of ΔABC.Therefore, the orthocenter of a triangle is definitely the point of intersection of the three: B. altitudes in a triangle.
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Look at each possible solution of the inequality −12 < 2x + 8 < −6 below. Is the value of x actually a solution of the inequality? Select Yes or No for each value of x.
x = −10
A Yes B No
x = −8
A Yes B No
x = −14
A Yes B No
Answer: x= -10 , False B
x= -8, False B
x= -14, True A
Step-by-step explanation:
If -4 is a solution of the equation f(x) = 2, which must be the coordinates of a point on the graph of f?
(4,-2)
0 (-2,4)
O (2,-4)
O (-4, 2)
The coordinates of the point on the graph of is (-4,2).
What is a function?A function is defined as the relationship between input and output, where each input has exactly one output. The inputs are the elements in the domain and the outputs are elements in the co-domain.
If -4 is a solution of the equation f(x) = 2,
When giving the input as -4 the output will be 2.
Thus these can be written in ordered pair as (-4,2).
Hence, the coordinates of the point on the graph of is (-4,2).
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Find the value of y for which the value of 8y+3 is 7 more than the value of 6yTom and Sam can finish a plowing job in two hours if they work toghether. Tom working alone can do the job in 7 hours. How long would it take Sam to finish the same job alone?
Answer:
19 ; 2.8 hours
Step-by-step explanation:
Find the value of y for which the value of 8y+3 is 7 more than the value of 6y
8y + 3 = 7 + 6y
8y - 6y = 7 - 4
2y = 3
y = 3/2
y = 1.5
Let
Tom's rate = x
Sam's rate = y
Rate = 1 / time
Hence,
x = 1/7
Rate when they work together = 1/2
Tom's rate + Sam's rate = 1/2
1/7 + y = 1/2
y = 1/2 - 1/7
y = (7 - 2) / 14
y = 5/14
Since, rate = 1/time
Time = 1/ rate
Sam's time = 1/ rate = 1/y = reciprocal of y
Sam's time = 14/5 = 2.8 hours
2.8 hours = 2 hours (0.8 * 60) = 2 hours 48 minutes
(7m+3)+(7m+6)
I really need help with this
Answer:
Step-by-step explanation:
The parenthesis can cancel because the lack of anything you can do in them, so that will leave you with 7m + 3 + 7m + 6
Next step is to add like numbers, you should start by adding 7m + 7m, which would be 14m.
Next would be to add 3 + 6, which is nine.
To end this equation, simply put 14m + 9
There is no one-number answer because we do not know what m is. So the equation 14m + 9 is the final answer.
3/4(cos20+sin10)=sin^3 10+cos^3 20
Answer:
Its true
Step-by-step explanation:
For the function f(x)=−3x+2, find f(−4).
Answer:
f(-4) = 14
Step-by-step explanation:
f(-4) = -3(-4) + 2
f(-4) = 12 + 2
f(-4) = 14
This is a number between zero and one expressed as one number over another
Answer:
A fraction
Step-by-step explanation:
1/2=0.5
Find the value of x in the triangle shown below
Answer:
The correct answer is 55°
Ms. Sams is having a celebration with snacks and activities for her guests. At one table, five people are sharing ¾ of a pizza. What equal-sized portion of the whole pizza will each of the five people receive?
Answer:
3/20
Step-by-step explanation:
3/4 divided by 5= 3/4 times 1/5=3/20
3. Olivia ordered 24 cupcakes and a layer cake. The layer cake cost $16 more than one
cupcake, and the total cost of the order was $53.50. What was the price of each cupcake?
Answer:
$1.50
Step-by-step explanation:
The total cost was $52. Subtracting out the cost of the layer cake ($16) leaves us with $36 to pay for the 24 cupcakes.
This means that each cupcake must have cost $1.50 ( = $36 / 24 cupcakes )
An aquarium is being drained. The amount of water in the aquarium, in liters, can be determined by using the function w(x) = 20 - 10 The variable x is the number of seconds after the drain plug is removed. Select EACH true statement about the scenario. The function is a linear equation. The y-intercept of 20 is the initial amount of payater in the aquarium. The slope represents how fast the water is being drained.
Answer:
The answer is all three
Step-by-step explanation:
The function that represents the draining of the aquarium is an illustration of a linear function.
All statements are true about the scenario.
The function is given as:
[tex]\mathbf{w(x) = 20 - 10x}[/tex]
A linear function is represented as:
[tex]\mathbf{y =mx + c}[/tex]
m represents slopec represents the y-interceptBy comparing [tex]\mathbf{y =mx + c}[/tex] and [tex]\mathbf{w(x) = 20 - 10x}[/tex], we can conclude that:
[tex]\mathbf{w(x) = 20 - 10x}[/tex] is a linear equation
The slope of a function is the average rate of a function.
The slope of [tex]\mathbf{w(x) = 20 - 10x}[/tex] is 10
This means that, the aquarium is being drained at a rate of 10 liters per second.
So, we can conclude that, the following statement is also true.
The slope represents how fast the water is being drained.
Lastly, when x = 0, we have:
[tex]\mathbf{w(0) = 20 - 10(0) = 20}[/tex]
This represents the initial volume of the aquarium.
So, we can conclude that, the following statement is also true.
The y-intercept of 20 is the initial amount of water in the aquarium
Hence, the three statements are true.
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Can someone pls answer this asap- Scientific Notation- Iĺl give Brainlist
Answer: 0.06|C,0.01|M,1|Different|0.|
Step-by-step explanation:
Your welcome! </3
Evaluar expresiones
Which of the following lists is correct for the order of operations?
parentheses, exponents, multiply and divide, add and subtract
exponents, parentheses, multiply and divide, add and subtract
parentheses, exponents, add and subtract, multiply and divide
parentheses, multiply and divide, exponents, add and subtract
Answer:
parentheses, exponents, multiply and divide, add and subtract
What is the measure of the arc represented by the numbers 6 and 11 on a clock face?
30°
150°
330°
180°
Answer:
150°
Step-by-step explanation:
Maria and Emma each have movie DVD collections.
The number of DVD's in Maria's collection can be represented by x
The number of DVD's in Emma's collection is 3 times the number in Maria's collection.
The total number of DVD's in both collections is 144
What is x the total number of DVD's in Maria's collection?
A=108
B=48
C=72
D=36
Answer:
D = 36
Step-by-step explanation:
x = Number of DVDs in Maria's collection
So, number of DVDs Emma has is 3x
Given,
x+3x=144
4x=144
x=144/4 = 36
What is 4/9x - 3 > 7/3
SHOW WORK PLEASE!!
btw i'm gonna be asking a lot of questions for this halloween thing we have to do in math.
Answer:
[tex]x >12[/tex]
[tex](12, \infty)[/tex]
[tex]\{x\in\mathbb{R} : x>12 \}[/tex]
Step-by-step explanation:
[tex]\dfrac{4}{9} x - 3 > \dfrac{7}{3}[/tex]
[tex]\dfrac{4}{9} x > \dfrac{7}{3}+3[/tex]
Multiply both sides by 9
[tex]4 x > 21+27[/tex]
[tex]4 x > 48[/tex]
Divide both sides by 4
[tex]x >12[/tex]
What is the value of x in the following equation?
2/3x+2=4
Answer: 3
Step-by-step explanation: Subtract 2 from both sides, leaving 2/3x=2. All you need to do now is find a number to multiply 2 by to get 6/3, which would be 3. 2=2 is a true statement.
The value of x in the equation (2/3)x + 2 = 4 is x = 3.
We have,
To solve the equation (2/3)x + 2 = 4, we can follow these steps:
- Start by subtracting 2 from both sides of the equation to isolate the term with x:
(2/3)x + 2 - 2 = 4 - 2
(2/3)x = 2
- To get rid of the fraction, multiply both sides of the equation by the reciprocal of (2/3), which is 3/2:
3/2 (2/3)x = 3/2 x 2
x = 3
Therefore,
The value of x in the equation (2/3)x + 2 = 4 is x = 3.
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An angle measures 125.2° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
27.4 and 152.6
Step-by-step explanation:
Supplementary angles equal 180 degrees when placed together.
x+(x+125.2)=180
2x+125.2=180
2x=54.8
x=27.4
the angles are 27.4 and 152.6
what is the answer to 6x4x8
Answer:
192 is the answer
Step-by-step explanation:
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