Answer:
Gordon will use 5/6 of the bag of cheese to make the entire recipe.
Step-by-step explanation:
We are given that Gordon makes 4/5 of a recipe with 2/3 bag of cheese.
And we want to determine what fraction of the bag of cheese Gordon will use to make the entire recipe.
We can write the following ratio:
[tex]\displaystyle \frac{\dfrac{2}{3}\text{ bag of cheese}}{\dfrac{4}{5}\text{ recipe}}[/tex]
Find the unit rate. Multiply both layers by 5/4:
[tex]\displaystyle \frac{\dfrac{2}{3}\text{ bag of cheese}}{\dfrac{4}{5}\text{ recipe}}\times \frac{\dfrac{5}{4}}{\dfrac{5}{4}}[/tex]
Multiply:
[tex]\displaystyle \frac{\dfrac{5}{6}\text{ bag of cheese}}{1 \text{ recipe}}[/tex]
In conclusion, Gordon will use 5/6 of the bag of cheese to make the entire recipe.
Trang can run up a hill at 3 m/s and down the hill at 7 m/s. It takes her 60 seconds in total to
run up and then down the hill. What distance does she cover going from the bottom to the
top of the hill?
Please step by step explanation:)
Answer:
d=126 (m)
Step-by-step explanation:
Let say:
d the distance from the bottom to the top
t1 the time used for running up
t2 the time for running down
[tex]\left\{\begin{array}{ccc}d&=&3*t_1\\d&=&7*t_2\\t_1+t_2&=&60\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}d&=&3*t_1\\t_2&=&\dfrac{3}{7} t_1\\t_1+\dfrac{3}{7} t_1&=&60\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}t_1&=&\dfrac{60*7}{10}=42 \\\\t_2&=&\dfrac{3*42}{7}=18\\\\d&=&3*42=126\\\end{array}\right.\\[/tex]
The difference of -13 and 8 multiplied by the square of 4
Cody stamped 460 envelopes in 30 minutes. How many envelopes per minute did Cody stamp?
Answer:
15 1/3 envelopes in 1 minutes
Step-by-step explanation:
Take the number of envelopes and divide by the number of minutes
460 envelopes / 30 minutes
15.333333.... envelopes per minute
15 1/3 envelopes in 1 minutes
on a trip of 28 kilometers a car used 4 litres of petrol . how many kilometers to the litre did the car average
Answer:
7 kilometers per litre
Step-by-step explanation:
Take the distance and divide by the number of litres
28 kilometers/ 4 litres
7 kilometers per litre
SOMEONE HELP ME PLEASE
Answer: D,E,F
Step-by-step explanation:
collinear means points on the same line
12 less than 10 times a number x
Step-by-step explanation:
10x-12 is the equation form
can anyone solve this question
Answer:
12 in Mathematics and 16 in Science
Step-by-step explanation:
12+16=28
12+3=15 and 16-4=12
15*12=180
Answer:
He got 12 marks in mathematics and 16 in science.
Step-by-step explanation:
M + S = 28, (M + 3)(S - 4) = 180.
(M + 3)(S - 4) = MS - 4M + 3S - 12 = 180
MS - 4M + 3S - 12 = 180
MS - 4M + 3S = 192
M + S = 28
S = 28 - M
M(28 - M) - 4M + 3(28 - M) = 192
28M - [tex]M^{2}[/tex] - 4M + 84 - 3M = 192
-[tex]M^{2}[/tex] + 21M = 108
-[tex]M^{2}[/tex] + 21M - 108 = 0
(-M + 9)(M - 12) = 0
M = -9, 12
S = 37, 16
1st solution:
(-9 + 3)(37 - 4) = 180
-6 * 33 = 180
-198 = 180
2nd solution:
(12 + 3)(16 - 4) = 180
15 * 12 = 180
180 = 180
Therefore, M = 12 and S = 16.
Given the definitions of f(x) and g(x) below, find the value of (gºf)(-4).
f(x) = -2x - 3
g(x) = 2x2 – 2x – 8
Answer:
[tex](g\circ f)(-4) = 32[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x) = -2x - 3\text{ and } g(x) = 2x^2 - 2x - 8[/tex]
And we want to find the value of:
[tex](g\circ f)(-4)[/tex]
Recall that this is equivalent to:
[tex]\displaystyle = g(f(-4))[/tex]
Find f(-4):
[tex]\displaystyle \begin{aligned}f(-4) &= -2(-4) - 3 \\ &= 5 \end{aligned}[/tex]
Hence:
[tex]g(f(-4)) = g(5)[/tex]
Finally, find g(5):
[tex]\displaystyle \begin{aligned}g(5)& = 2(5)^2 - 2(5) - 8 \\ &= 32 \end{aligned}[/tex]
In conclusion:
[tex](g\circ f)(-4) = 32[/tex]
Kevin buys eggs and potatoes at the store.
He pays a total of $25.98.
He pays a total of $6.46 for the eggs.
He buys 4 bags of potatoes that each cost the same amount.
How much does each bag of potatoes cost?
6.55743... is an irrational number because it is an
a terminating decimal
a repeating decimal
a non-terminating and non-repeating decimal
a non-repeating decimal
a non-terminating decimal
Answer:
#3. a non-terminating and non-repeating
Step-by-step explanation:
6.55743... never ends and it never repeats either
Answer:
Not terminating but doesn't repeat either
Step-by-step explanation:
Evaluate
15
r
−
1
r
15
−1start fraction, 15, divided by, r, end fraction, minus, 1 when
r
=
5
r=5r, equals, 5.
Answer:
do you have a photo that makes it easier?
I need some help on 9 and 10
Answer:
Step-by-step explanation:
9
The angles are vertically opposite. Vertically opposite angles are equal.
12x - 5 = 10x + 1 Add 5 to both sides.
12x = 10x + 5 + 1 Combine
12x = 10x + 6 Subtract 10x from both sides.
12x - 10x = 6 Combine
2x = 6 Divide by 2
x = 6/2
x = 3
10
Adjacent angles to each other when sharing a side are supplementary
4x + 7 + 2x + 5 = 180 Combine like terms on the left
6x + 12 = 180 Subtract 12 from both sides
6x = 180 - 12 Combine
6x = 168 Divide by 6
x = 168 / 6
x = 28
A bag contains green balls and red balls only A ball is taken at random from the bag The probability of taking a green ball is 0.38 Write down the probability of taking a red ball and a blue ball
Answer:
blue ball is zero, red ball is 1-0.38=0.62
Step-by-step explanation:
1. no blue balls
2. probabilities have to add to 100%
Plz solv this please guys
Answer:
x is 130 degrees. y is 80 degrees.
Step-by-step explanation:
Step-by-step explanation:
since ABCD is a Rhombus, x = 180-50 = 130°
y = 180-(50+50)= 80°
Look at image help plz!! Worth 30 points!
Answer:
t = Gx + a
Step-by-step explanation:
G = t - a/x (Given)
G(x) = (t - a/x)x (Multiply x on both sides)
Gx = t - a (Simplify)
Gx + a = t - a + a (Add a on both sides)
Gx + a = t (Simplify)
Pls Solve
4x+16=x+166
Answer:
50
Step-by-step explanation:
4x+16=x+166
-x -x
3x+16=166
-16 -16
3x=150
/3 /3
x=50
Answer :
• 50
Step-by-step explanation:
4x + 16 = x + 1664x - x = 166 - 16 (Subsituation )3x = 150x = 150 / 3x = 50 !What is one of the best ways to stop procrastinating and study More
Answer:
use the two minute rule. you tell yourself you will study for two minutes or ten minutes and then if you're in a flow you keep going. hope this helps :)
Please help me I will mark brainliest :)
Answer:
X should equal 12.
Step-by-step explanation:
I say this because we know TED= 30° bc 50°-20° = 30
then u have to think about what × 2 + 6 equals 30
sure enough 12 × 2 = 24 and 24 + 6 = 30
that's why I say X equals 12
Fill in the blank to complete this trig
ratio.
y
sin a =
[?]
a
Х
N
A
00
С
Х
У
N
Answer:
Z/X
Step-by-step explanation:
cause sin is p/h and p=Z and h=X
[tex] \displaystyle \large \tt{ \sin a = \frac{opposite}{hypotenuse} }[/tex]
First, we have to focus on ∠a, at the angle a or ∠a, the opposite is z because ∠a is the opposite side of z.
The hypotenuse side is always x, even if we change from ∠a to ∠b (b = 90°-a)
So what we have now are:
opposite = z (Refer to the bold text)hypotenuse = x (hypotenuse is always the side that is opposed to a right angle.)Substitute the letter in the ratio:
[tex] \displaystyle \large \boxed{ \sin a = \frac{z}{x} }[/tex]
A clothing company buys t-shirts for $10 and sells them for $100. What is the percentage mark up on
t-shirts? Make sure you show at least one step of working
Answer:
900%
Step-by-step explanation:
Starting price : 10
End price: 100
100-10 = 90
90/10 = 9 = 900%
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Classify 7/8 as either a whole number natural number an integer or rational number
Answer:
rational number
Step-by-step explanation:
a whole number is a non-negative integer, a natural number is a positive integer, an integer is any number that doesn't have decimal places and isn't a fraction. 7/8 isn't an integer so it isn't a whole or natural number. rational numbers can be written as fractions or are terminating decimals. 7/8 is a fraction so 7/8 is a rational number
Divide. Write your answer as a fraction in simplest form. − 7 1/0÷2/5=
Answer:
-71/4
Step-by-step explanation:
I need help with geometry homework.
Use the figure to name each of the following.
1. The intersection of TV and US.
2. The intersection of US and plane R.
3. The intersection of TU and UV.
The point at which lines, planes and points meet is referred to as the point of intersection or simply intersection.
The intersection of TV and US, US and plane R & TU and UV is point U
From the attached figure, we have the following observations
1. Line segments TV and US intersects at point U.
This means that the intersection of TV and US is point U
2. Line segment US and plane R intersects at point U
This means that the intersection of US and plane R is point U
3. Line segments TU and UV intersects at point U
This means that the intersection of TU and UV is point U
Hence, the name of the three intersections is point U
Read more about lines and planes at:
https://brainly.com/question/13081016
1. Find the distance between the pair of points: (-8, -2) and (-4,5)
Hi, I'm happy to help!
To solve, this, we need to find the distance in x coordinates, y coordinates, then use the Pythagorean Theorem, let's solve!
First, we have to find the distance in x coordinate values. The first coordinate is -8, and the second is -4, which means there is an x distance of 4.
Next, we need to find the distance in y coordinate values. The first coordinate is -2, and the second is 5, meaning there is a y distance of 7.
From here, we use the Pythagorean Theorem. This states that a²+b²=c².
This applies to right triangles, which is what we have. The x distance is a, the y distance is b, and the overall distance is c. We need to find c to answer the question. Let's plug in our values:
4²+7²=c²
16+49=c²
65=c²
To find c, we need to find the square root of 65.
√65
8.0622577...
Rounding to the nearest tenth is 8.1.
The distance between the two points is about 8.1.
I hope this was helpful, keep learning! :D
Multiply (-4) (-2) (-5)
-40
-8
8
40
Answer:
your answer is -40
I hope it's helps you
Answer:
-40
Step-by-step explanation:
-4*-2*-5
+8*-5
-40
-*-=+
-*+=-
a=23 an= 5 n=10 find d
Answer:
d=-2
Step-by-step explanation:
a10=5, a10=a+(10-1)d
5=23+9d, d=-2
Answer:
d is -2
Step-by-step explanation:
From arithmetic progression:
[tex]{ \bf{a_{n} = a + (n - 1)d }}[/tex]
substitute:
[tex]{ \sf{5 = 23 + (10 - 1)d}} \\ { \sf{5 - 23 = 9d}} \\ { \sf{9d = - 18}} \\ { \sf{d = \frac{ - 18}{9} }} \\ \\ { \sf{d = - 2}}[/tex]
5f+4f-8=19
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Answer:
f = 3Step-by-step explanation:
5f+4f-8=19
=> 9f = 19 + 8
=> 9f = 27
[tex] = > f = \frac{27}{9} [/tex]
=> f = 3 (Ans)
6 . The scale of a map is 1: 250 000. (a) The actual distance between two cities is 80 km. Calculate this distance on the map. Give your answer in centimeters. (b) On the map a large forest has an area of 6 cm?. Calculate the actual area of the forest. Give your answer in Square kilometres.
Answer:
The scale of a map is 1:250000.The actual distance between two cities is 80 km. Calculate this distance on the map. Give your answer in centimetre
Step-by-step explanation:
1 m = 100 cm
1 km = 1000 m = 100 000 cm
1:250 000 mean that 1 cm on the map represents an actual distance of 250 000 cm = 2.5 km
1:250 000 = 2.5 km / cm
80 km / 2.5 km / cm = 32 cm
OR
80 km = 8 000 000 cm
8 000 000 cm ∙ 1 / 250 000 = 8 000 000 cm / 250 000 = 32 cm
Help
When i
is written as a decimal, how many digits are in the smallest sequence of repeating
digits?
OA) 3
B) 2
OC) 1
D) 0
Determine the name of the polygon formed by the points below.
A(5,-1),B(0,5),C(4,5),D(-2,-1)
No spams.Answer should be well explained .Attach a diagram or graph of it .
Answer:
Given
Points A(5,-1),B(0,5),C(4,5),D(-2,-1)Plot the points and connect to get a trapezoid (attached).
Just consider this is going to be ACBD according to coordinates.
Step-by-step explanation:
Given points are A(5,-1), B(0,5), C(4,5) and D(-2,-1)
When the given points are plotted on a graph paper and are connected. Then the formed polygon is trapezoid.