Answer:
180 grams
Step-by-step explanation:
Mitchell has to use more coffee than usual for two reasons: First, he's making a larger pot than usual (15(15left parenthesis, 15 cups rather than 10)10)10, right parenthesis. And second, he's using the Arabica coffee, which requires 20\%20%20, percent more coffee for the same strength.
2
Instead of brewing \blue{10}10start color blue, 10, end color blue cups, Mitchell wants to brew \red{15}15start color red, 15, end color red cups, which means he has to use \dfrac{\red{15}}{\blue{10}}=\purple{1.5}
=1.5start fraction, start color red, 15, end color red, divided by, start color blue, 10, end color blue, end fraction, equals, start color purple, 1, point, 5, end color purple times more coffee.
3
As his friend said, Mitchell also has to use \pink{20\%}20%start color pink, 20, percent, end color pink more coffee than usual, so he'll have to multiply the amount of coffee by \green{1.2}1.2start color green, 1, point, 2, end color green, or \green{120\%}120%start color green, 120, percent, end color green.
4
The total amount of coffee he has to use is 100100100 grams \times×times \purple{1.5} \times \green{1.2} = 1801.5×1.2=180start color purple, 1, point, 5, end color purple, times, start color green, 1, point, 2, end color green, equals, 180 grams.
As a part of a contest, a store is giving a special prize if a contestant can roll 3 standard six-sided number cubes, and get the same number on each. What is the probability a contestant will be successful?
Answer: [tex]\bold{\dfrac{1}{36}}[/tex]
Step-by-step explanation:
The first die can be any number: [tex]P = (\dfrac{6}{6}) = 1[/tex]
The second die must match the first die: [tex]P = \dfrac{1}{6}[/tex]
The third die must also match the first die: [tex]P = \dfrac{1}{6}[/tex]
1st die and 2nd die and 3rd die = Probability of success
1 x [tex]\dfrac{1}{6}[/tex] x [tex]\dfrac{1}{6}[/tex] = [tex]\dfrac{1}{36}[/tex]
(4b) A rocking horse has a weight limit of 60 pounds. What percentage of the weight limit is 114 pounds? *
Answer:
190 percentage of the weight limit is 114 pounds.
Step-by-step explanation:
Given: A rocking horse has a weight limit of 60 pounds.
We have to find what percentage of the weight limit is 114 pounds.
x percentage of the weight limit is 114 pounds.
⇒ x% of 60 = 114
[tex]\frac{x}{100} \times 60 = 114[/tex]
Solve for x;
[tex]\frac{6x}{10} = 114[/tex]
Multiply both sides by 10 we get;
[tex]\frac{6x}{10} \times 10 = 114 \times 10[/tex]
[tex]6x = 1140[/tex]
Divide both sides by 6 we get;
[tex]x = \frac{1140}{6}[/tex]
Simplify:
x = 190%
Therefore, 190 percentage of the weight limit is 114 pounds.
To find the percentage, divide the given weight by the weight limit and multiply by 100. 114 pounds is 190% of the weight limit of 60 pounds.
To find the percentage of the weight limit, we need to divide the given weight (114 pounds) by the weight limit (60 pounds) and then multiply the result by 100. So, the calculation would be:
Percentage = (114 pounds / 60 pounds) * 100
Simplifying this equation, we get:
Percentage = 190%
Therefore, 114 pounds is 190% of the weight limit of 60 pounds.
Learn more about Percentage of weight limit here:https://brainly.com/question/14375094
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On mars,your weigh is about 1/3 of your weigh on earth. If a fifth grader weighs 96 pounds on earth,about how much would they weigh on mars
Answer:
32
Step-by-step explanation:
You just have to find out whats 1/3 of 96
just divided 96 by 3 to get 32
What is the length of cloth needed to make 18 shirts if each shirt is made from 0.8 yards of material?
Answer:
14.4 yards
Step-by-step explanation:
Each shirt needs 0.8 yards so 18 shirts needs 18 * 0.8 = 14.4 yards of material.
14.4 yards of material will be needed to make 18 shirts.
What is multiplication?Multiplication is when you take one number and add it together a number of times.
Given that, one shirt is of 0.8 yards of material,
18*0.8 = 14.4
Hence, 14.4 yards of material will be needed to make 18 shirts.
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In the figure below, if BE is the perpendicular bisector of AD , what is the value of x?
Answer:
x = 10Step-by-step explanation:
Since BE is perpendicular bisector AE=EDSubstituting we have:3x + 5 = x + 25 solving for x x = 10The commission Gary earns is proportional to the cost of the shoes he sellis. Gary earns $15 in commission for every S150 worth of shoes that he sells. Which equation gives the total commission, C Gary will earn based on the cost, s, of the shoes he sels?
Answer:
15x + 150
Step-by-step explanation:
Given the position function s(t)=(t^3/3)-(12t^2/2)+36t between t=0 and t=15, where s is given in feet and t is measured in seconds, find the interval in seconds where the particle is moving to the right.
Answer: [0, 6) ∪ (6, 15]
Step-by-step explanation:
The particle is moving to the right when the velocity is positive.
[tex]s(t)=\dfrac{t^3}{3} -\dfrac{12t^2}{2}+36t[/tex]
v(t) = s'(t)
= t² - 12t + 36
First, find the zeros of v(t): ⇒ v(t) = 0
0 = t² - 12t + 36
= (t - 6)²
0 = t - 6
6 = t
The zero occurs when t = 6
Next, find when v(t) > 0
Choose a test point between 0 and 6:
v(5) = (5 - 6)²
= (-²)
= (+)
Since velocity is positive between 0 and 6, the particle is moving to the right during that interval.
Choose a test point between 6 and 15:
v(7) = (7 - 6)²
= (+)²
= (+)
Since velocity is positive when t > 6, the particle is moving to the right.
Jon is looking into a $4250 vacation package that is offered for 25% off. There is a 9% resort fee added on to the total. How much will the vacation cost Jon?
Answer:
3187.59
Step-by-step explanation:
Add 4250 - 25% + 9% and u should have this exact answer
- The one guy who has a F in math
*Help ASAP Please! Studying for finals and I'm stuck on this question!*
5. Find the measure, to the nearest tenth, of the diagonal of a rectangle with dimensions 14 cm by 6 cm.
A) 16.3 cm
B) 12.6 cm
C) 15.2 cm
D) 4.5 cm
Answer: C
Step-by-step explanation:
A rectangle has 90° angles. So, the diagonal cuts the rectangle into two right triangles where the length (base) and the width (side) are the legs of the right triangle and the diagonal is the hypotenuse. Thus, the Pythagorean Theorem can be used: (leg a)² + (leg b)² = (hypotenuse)²
14² + 6² = hypotenuse²
196 + 36 = hypotenuse²
232 = hypotenuse²
√232 = √hypotenuse²
15.23 = hypotenuse
Find the value of x to the nearest tenth.
a. 11.3
b. 12.5
c. 12.9
d. 13.1
Answer:
B
Step-by-step explanation:
We have perpendicular bisector through a chord of the circle. We know the length, so either side of the chord is 11 due to the bisector cutting it directly in half. Since the radius is a fixed distance from the center to any point on the edge of the circle, we can draw the radius x from the circle to the end of the chord to form a right triangle.
We can use Pythagorean Theorem [tex]a^{2} +b^{2} =c^{2}[/tex] to find the missing side length x. a=6, b=11 and c=x.
[tex](6)^{2} +(11)^{2} =x^{2}[/tex]
[tex]36+121=x^2\\157=x^2\\\sqrt{157}=x\\ 12.5=x[/tex]
Give the equation of the line in slope-intercept form that has the slope of 5 and goes through the point (0, -3).
Answer:
y=-3x+5
-3 is y ntercept
Can someone help me with these 2 problems plz
Could someone help I can’t get this one
Statement Reason
1. AB = CD, AD = CB 1. Given
2. AC = AC 2. Reflexive Property
3. ΔADC ≅ ΔCBA 3. SSS
4. ∠1 = ∠4 4. CPCTC
5. DC || AB 5. Alternate Interior Angles Converse Thm
can someone help me please and thank you
Find the ratio of the two similar sides that both dimensions are given.
The smaller triangle aide that is 4 units is the similar side of the larger triangle given as 8 units.
8 / 4 =2, this means the larger triangle is 2 times the size of the smaller triangle, which also means the smaller triangle is 1/2 the size of the larger triangle.
X on the smaller triangle is 1/2 11 units which equals 5.5 units.
Y is 2 times 3, which equals 6 units.
x = 5.5
y = 6
Function g is transformed to obtain function h as shown.
(x)=4g(x+5)
A.
The graph of h is the graph of g vertically stretched by a factor of 4 and shifted 5 units to the left.
B.
The graph of h is the graph of g vertically shrunk by a factor of 4 and shifted 5 units to the right.
C.
The graph of h is the graph of g vertically stretched by a factor of 4 and shifted 5 units to the right.
D.
The graph of h is the graph of g vertically shrunk by a factor of 4 and shifted 5 units to the left.
Answer:
A
Step-by-step explanation:
The transformation is [tex]h(x)=4*g(x+5)[/tex].
4*g(x+5) means g(x) is vertically shifted by a factor if 4 by multiplying the entire function by 4. The values increase and are stretched (not shrunk to smaller).g(x+5) means the input x is increased by 5 each time. This results in a horizontal shift left on the graphThe answer is A. The graph of h is the graph of g vertically stretched by a factor of 4 and shifted 5 units to the left.
Answer: A for plato users
Use the table below to answer this question:
x y
−3 −3
0 3
1 5
Find the average rate of change for the given function from x = −3 to x = 1.
2
−3
−1
−2
Answer:
2
Step-by-step explanation:
We can find the average rate of change by using the formula
rate of change = (y2-y1) /(x2-x1)
= (5-3)/(1-0)
= 2/1
=2
Answer:
A. 2
Step-by-step explanation:
average rate of change from x1 to x2 is
[f(x2) - f(x1)]/(x2 - x1)
Here we have x1 = -3; f(x1) = -3; x2 = 1; f(x2) = 5
average rate of change from x1 to x2 =
= [f(x2) - f(x1)]/(x2 - x1)
= [5 - (-3)]/(1 - (-3))
= 8/4
= 2
Jenna bought a bike for $200. The value of the bike decreases by 5% each year. Write an equation to model the situation.
This is an exponential function. Since each year the value of the bike decreases by 5%, each year, the value of the bike is 100%-5%=95% of it's original value. So after x years, the value of the bike would be 200(0.95)^x.
Answer:
(200 - (200 x 5 / 100))^Y
Step-by-step explanation:
As the initial value of the bike is $200, that would be a fixed number in our equation. Each year, this will lose 5% of its value, therefore, it would be another fixed value in it. Then, we have to exponentiate it by the number of years that have passed since the initial value (Y). As a result, the equation to model the situation would be this one:
(200 - (200 x 5 / 100))^Y
Which equation represents this problem?
Carol's age is three more than two times Lindsay's age. Carol is 39 years old. How old is Lindsay?
Let l = Lindsay's age in years.
3l + 2 = 39
2l–3=39
3l–2=39
2l + 3 = 39
Answer:
2l + 3 = 39
Step-by-step explanation:
the equation is 3 + 2L = C, where L is Lindsay's age and C is Carol's age
3 + 2L = 39
How many soccer players that are getting paid around the world are there???
Answer for 15 points! PLZ be correct info!!!
So the correct answer Is A, but can you explain how you get that answer?
The first thing to notice is that the smaller triangle on the left is equilateral, because of the same single tickmarks on each of the three sides. For any equilateral triangle, each interior angle is 60 degrees as you have marked it on the drawing.
Once you determine that, you would solve for the 120 degree angle (60+120 = 180). Afterward, solve the equation 120+x+x = 180 to find that x = 30. The equation 120+x+x = 180 refers to adding up the three angles of the smaller triangle on the right side (with angles 120, x, x). The two missing angles are both x due to the fact that this triangle is isosceles.
Answer:
Step-by-step explanation:
Since ∆ABC is equilateral, all of its angles would be the same (60°). Since a line is 180°, the other part of ∠C is 120°. Since we also know that △BCD is isosceles, we know that angles ∠B and ∠D are equal. If a triangle is 180°, and we already know that ∠C is 120°, we can do 180-120, which is 60°. If angles ∠B and ∠D are equal, we can do 60/2=30. Therefore, ∠D is 30°.
Joel has 7 pounds of clay. He splits the clay into groups of 1/3 pound. How many groups does he have
What is the domain restriction of this expression?
(m-7)/(4m-20)
Answer:
m ≠ ____.
Answer:
m ≠5
Step-by-step explanation:
We cannot divide by zero, so the denominator cannot equal zero. That is the only restriction on the domain.
4m-20 ≠ 0
Add 20 to each side
4m-20+20 ≠20
4m ≠20
Divide each side by 4
4m/4 ≠20/4
m ≠5
Answer:
m ≠ 5
——
Step-by-step explanation:
Make the equation equal to zero.
4m - 20 = 0
Solve for the restriction.
4m - 20 = 0
Add 20 to both sides.
4m = 20
Divide both sides by 4.
m = 5
Answer:
m ≠ 5
Triangle STU is dilated to form new triangle VWX. If angle S is congruent to angle V, what other information will prove that the two triangles are similar? Side ST is congruent to side VW. Angle T is congruent to angle V. Side US is congruent to side XV. Angle U is congruent to angle X.
Answer:
(D)
Step-by-step explanation:
Two triangles are similar if it satisfies the following properties:
1) Corresponding angles are congruent.
2) Corresponding sides are all in same proportion.
Here, ΔSTU and ΔVWX are given, where ∠S is congruent to ∠V.
To prove these two triangles similar, we need one more corresponding angle to be congruent.
And from all the options, (d) Angle U is congruent to angle X. will help in proving ΔSTU and ΔVWX similar triangles.
Therefore, (d) is correct.
Answer:
d)Angle U is congruent to angle X.
Step-by-step explanation:
Jenna has some chocolate tat she wants to give to her friends. She wants to give 1/5 of a pound of chocolate to each friend. If jenna has 7pounds of chocolate, to how many friends can she give chocolate
25 friends because 7*5=35
A student bought a truck with a down payment of 4000 and monthly payments of $250 for four years. What was the total cost of the truck
The graph of the function f(x) is shown below. When f(x) = 0, determine x
Answer:
When f(x) is 0, then x is -1.8.
Step-by-step explanation:
To find this, you simply have to look for the place where the line crosses the x axis. This is where y (or f(x)) is equal to 0. Since this graph only crosses that axis at x = -1.8, that is the number we are looking for.
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!
If the table is that of f(x), find a point that lies on the graph of f-^1(x).
Answer: D
Step-by-step explanation:
Inverse is when the x's and y's are swapped
x | y Inverse
-3 | 5 (5, -3)
-2 | -3 (-3, -2)
0 | 3 (3, 0)
1 | -5 (-5, 1) ← this matches choice D
2 | 6 (6, 2)
3 | 10 (10, 3)
Write 4/9, 5/9, and 6/9 as decimals. What pattern do you see? Use the pattern to predict the decimal form of 7/9 and 8/9
How many ways can the letters be arranged?
TJKL
A) 10 ways
B) 16 ways
C) 18 ways
D) 24 ways
TJKL - different letters
for the first place you have 4 letters to choose from
for the second place you have 3 letters to choose from
for the third place you have 2 letters to choose from
for the last place you have only one letter
Therefore your answer is:
[tex]\boxed{4}\cdot\boxed{3}\cdot\boxed{2}\cdot\boxed{1}=24\to\boxed{D)}[/tex]
What is m∠C?
Enter your answer in the box.
Answer:
angle C is 60 degrees
Step-by-step explanation:
First you would solve for X
once you have that plug it in angle C
2(30)=60
Answer:
60°
Step-by-step explanation:
∠B is a right angle and all right angles are 90°, so if ∠B = 3*x then to find x you divid 3 by 90 to get x because 3*x = 90 once you do that you get 30 so x=30 then to find ∠C you just multiply 2 by 30 which gives you 60 which means the measure of ∠C = 60°
hope this helps :D