Gemma gets 6 biscuits, and Zak gets 24 biscuits when Mrs. Perry shares out 30 biscuits between them in the ratio 1:4.
To solve this problem, we need to divide the 30 biscuits according to the ratio 1:4 between Gemma and Zak.
Calculate the total parts in the ratio.
Total parts = 1 (from Gemma) + 4 (from Zak) = 5 parts
Find out how many parts each child gets.
For Gemma:
Gemma's share = (1 part ÷ 5 parts) × 30 biscuits
= (1/5) × 30
= 6 biscuits
For Zak:
Zak's share = (4 parts ÷ 5 parts) × 30 biscuits
= (4/5) × 30
= 24 biscuits
Verify the result.
Gemma gets 6 biscuits, and Zak gets 24 biscuits.
6 + 24 = 30 biscuits (which is the total), so the division is correct.
Thus, Gemma gets 6 biscuits, and Zak gets 24 biscuits when Mrs. Perry shares out 30 biscuits between them in the ratio 1:4.
The answer to this question
The directions say...Use dimensional analysis to convert the measurements.
The question is...Convert 950 US dollars to British pound sterling. Use 1 US dollar = 0.62 British pound sterling.
the sum of two numbers is 200 and the two numbers are in a ratio of 4:6 find the larger number
MATH PLEASE HELP!!! loolissy
Evaluate. (14)−2−(50⋅2)⋅1−1
Polynomial Factorization Help!
Can 2x^2-3x-5 = 0 be factorized? I solved it with the Quadratic Formula but I can't find two numbers that multiply to -5 but add to -3
Marcel is designing a circular necklace that will consist of 4 sections, each with a different color of plastic. Determine how he needs to cut the plastic by finding the measures of the angles.
Answer:
measure of angle 1 is 83 and measure of angle 2 is 97
Step-by-step explanation:
edg
Marcel needs to cut the plastic to create four equal angles of 90 degrees each for his circular necklace since a circle has a total of 360 degrees.
Explanation:The student is being asked to calculate the measures of the angles in a circular necklace that is divided into four equal sections. Since a circle has 360 degrees, and the necklace is divided into four sections, each section must be an equal fraction of the total degrees in a circle. To find the measure of each angle, we divide the total degrees in a circle (360) by the number of sections (4).
Step-by-step calculation:
Identify the total degrees in a circle: 360 degrees. Divide this number by the number of sections: 360 ÷ 4. Calculate the result: each section has an angle of 90 degrees.
Therefore, Marcel needs to cut each angle at 90 degrees to create four sections of the circular necklace.
Complete the equations to prove that vertical angles always have equal measure. In terms of b and a numberin degrees, \purple c=c=start color purple, c, end color purple, equals In terms of b and a numberin degrees, \pink a=a=start color pink, a, end color pink, equals Combining these equations to get a in terms of c, \pink a=a=start color pink, a, end color pink, equals
180-b
180-b
c
Step-by-step explanation:
Jim and Sarah are running for class president. Cayla and Daniel are running for Vice President. What combinations of president and Vice President could there be?
Math Plzz HELP ASAP!!!!!!
(−213+515)+113
The solution of (−213+515)+113 is 415
Add -213 and 515:
-213 + 515
= 302
Add 113 to the result:
302 + 113
= 415
So, the final answer is 415.
Question:
Solve: (−213+515)+113
A bag contains eight green marbles and four blue marbles. what is the probability of drawing a green marble on the second draw?
Need help please !
Thanks !
A gumball machine has just been filled with 50 black, 150 white, 100 red, and 100 yellow gumballs that have been thoroughly mixed. sue and jim each purchase one gumball. what is the likelihood that both sue and jim will get red gumballs?
Final answer:
To calculate the likelihood of both Sue and Jim getting red gumballs, we multiply the probability of each event occurring sequentially. After Sue gets a red gumball, the chances are 1/4, and then 99/399 for Jim. The final probability of both getting red gumballs is 99/1596 or about 6.203%.
Explanation:
The likelihood that both Sue and Jim will get red gumballs from the gumball machine can be calculated using basic probability principles. First, we need to determine the total number of gumballs in the machine. This is the sum of black, white, red, and yellow gumballs, which are 50, 150, 100, and 100 respectively, making a total of 400 gumballs.
The probability that Sue gets a red gumball is the number of red gumballs divided by the total number of gumballs in the machine, which is 100/400, simplifying to 1/4. When Sue takes a gumball, assuming she gets a red one, there are now 399 gumballs left with 99 being red. Therefore, the probability that Jim also gets a red gumball is 99/399. To find the likelihood of both events occurring, we multiply these probabilities:
P(Both Sue and Jim get red gumballs) = P(Sue gets a red gumball) × P(Jim gets a red gumball after Sue) = (1/4) × (99/399).
Now we simplify and multiply these fractions to get the final probability. After simplifying, the final probability is 99/1596, which is approximately 0.06203 or 6.203% chance that both Sue and Jim will get red gumballs.
Andy used 1/6 of a can of paint to cover 1/2 of a wall. How much of the can of paint did Andy use to paint the whole wall? Express your answer in simplest form. help ill mark brainliest
How do you write a piecewise function
To write a piecewise function, you need to define different equations for different intervals of the independent variable.
Explanation:To write a piecewise function, you need to define different equations for different intervals of the independent variable. Each equation represents a different part or piece of the function. Here's an example:
f(x) =
2x + 1, if x ≤ 0x^2, if 0 < x ≤ 54 - x, if x > 5In this function, the equation 2x + 1 is used for values of x that are less than or equal to 0, the equation x^2 is used for values of x between 0 and 5 (inclusive), and the equation 4 - x is used for values of x greater than 5.
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A trout swims 1 2/3 miles in 25 minutes. How far can it's swim in one hour
60minutes per hour
25/60 = 5/12
1 2/3 / 5/12 =
5/3 / 5/12 =
5/3 * 12/5 = 60/15 = 4 miles
branliest offered i need help please
evalute the numerical expression
{[(3x4)+18]+[(6x7)-27]}divided by 5
a museum has a wax sculpture of a historical village. The scale is 1.5 : 8. If the height of a hut in the sculpture is 5 feet how tall is the original hut to the nearest whole foot?
Answer:
Step-by-step explanation:
molly has 1 3/8 cups of strawberries she needs 3/8 cups of strawberries to make one batch of muffins how many batches did molly make?
If EF =9x+17 , FG = 35 , and EG=196 , find the value of x
The required simplified value fo x is 16 in the expression of the line segment.
Given that,
If EF =9x+17 , FG = 35 , and EG=196 , find the value of x is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here
EG = 196
EF + FG = 196
9x + 17 + 35 = 196
9x + 52 = 196
9x = 196 - 52
9x = 144
x = 144/ 9
x = 16
Thus, the required simplified value fo x is 16 in the expression of the line segment.
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2.05 MC) Triangles ABC and DEF. Coordinates for A are 0, 2, for B 2, 4, and for C 1, negative 2. Given: ΔABC ≅ ΔEFD What is the length of Segment line FE rounded to the nearest tenth? (4 points) 2.8 3.4 4.1 6.1
Answer:
2.8
Step-by-step explanation:
From the congruence statement, we see that AB corresponds with EF; this means they will be congruent.
To find the measure of FE, we will find the distance between points A and B using the distance formula:
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Using our coordinates for A and B, we have
[tex]A(0,2)\text{and }B(2, 4)\\\\d=\sqrt{(4-2)^2+(2-0)^2}=\sqrt{2^2+2^2}\\\\=\sqrt{4+4}=\sqrt{8}=2.828427\approx 2.8[/tex]
12x > 9(2x-3) -15
solve the inequality for x. show each step of the solution.
You ride your bike to school. As you approach an intersection, you decrease your speed by 1.5 miles per hour per second. Select an inequality that represents the time tt (in seconds) until your speed decreases by more than 10.5 miles per hour. Then solve the inequality.
Answer:
The time elapsed is greater than 7 seconds
Step-by-step explanation:
From definition
acceleration = change in speed/time elapsed
or:
a = Δv/t
Rearranging:
a*t = Δv
If your speed decreases by more than 10.5 miles per hour, then:
Δv > 10.5
Replacing with the previous equation and solving for t:
a*t > 10.5
t > 10.5/1.5
t > 7 s
A balloon is released on top of a building. The graph shows the height of the balloon over time. What does the slope and y-intercept reveal about the situation?
Answer:
C. The balloon starts at a height of 500 ft and rises at a rate of 150 ft.
Step-by-step explanation:
We have been given a graph which represents the height of the balloon over time.
We can see from our graph that y-intercept, which represents the height of the balloon (in thousand feet) at time equals zero, is 0.5. To find the correct y-intercept we will multiply 0.5 by 1000 as height of the balloon is given in thousand feet.
[tex]\text{y-intercept}=(0.5\times 1000)\text{ feet}=500\text{ feet}[/tex]
Therefore, y-intercept represents that the balloon starts at a height of 500 feet.
Now let us find slope of our given line using slope formula.
[tex]\text{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]y_2-y_1[/tex] is vertical change or rise.
[tex]x_2-x_1[/tex] is horizontal change or run.
Upon substituting given values in above formula we will get,
[tex]\text{Slope}=\frac{3.5-0.5}{20-0}[/tex]
[tex]\text{Slope}=\frac{3}{20}[/tex]
[tex]\text{Slope}=0.15[/tex]
Now let us multiply 0.15 by 1000 as height of balloon is given in thousand feet.
[tex]\text{Slope}=0.15\times 1000=150[/tex]
Therefore, slope of our line is 150 which means that height of balloon is increasing 150 feet per second or balloon is rising at a rate of 150 feet per second.
Upon looking at our given options we can see that option C is the correct choice.
Simply the product -7x/5y * 5x/-7
.help me please thanks
Perform the indicated operation. 13/16 – 3/8
7/16
5/8
1 3/16
13/16 - 3/8
convert 3/8 to 16ths
3/8 = 6/16
13/16 - 6/16 =
13/6 =7
7/16 is the answer
Answer:
The correct option is 1.
Step-by-step explanation:
The given expression is
[tex]\frac{13}{16}-\frac{3}{8}[/tex]
We need to perform the indicated operation.
Make denominator common.
[tex]\frac{13}{16}-\frac{3\times 2}{8\times 2}[/tex]
[tex]\frac{13}{16}-\frac{6}{16}[/tex]
It can be written as
[tex]\frac{13-6}{16}[/tex]
[tex]\frac{7}{16}[/tex]
The value of given expression is [tex]\frac{7}{16}[/tex].
Therefore the correct option is 1.
Under which condition does a country with a small GDP have a large per capita income?
Answer:
Small population
Step-by-step explanation:
GDP is defined as the Gross domestic product of a country. It is the amount of money made in the country at a specific period of time. It measures the economic state and progress of the country.
Per capital income is the average income citizens earn in a country.
However a country with a small GDP will have a large per capital income only if the population size of the country is small. This small population size will make it possible for less competition and more money going round for the citizens.
The equation of line q is 5y - 4x = 10. Write the standard form of the equation of the line that fits the following description: parallel to q and passes through the point at (-15, 8)
Answer:
y = [tex](\frac{4}{5})[/tex]x + 20
Step-by-step explanation:
The equation of line q is 5y - 4x = 10
5y = 4x + 10
y = [tex]\frac{4}{5}x+2[/tex]
If a line is parallel to this line the slope of the line will be the same as the given line = [tex](\frac{4}{5})[/tex]
Let the parallel line is y = mx + c
where m = slope
and c = y-intercept
equation will be y = [tex]\frac{4}{5}x+c[/tex]
This line passes through (-15, 8)
so 8 = (-15) [tex](\frac{4}{5})[/tex] + c
8 = -12 + c
c = 12 + 8
c = 20
Now the equation of the parallel line will be y = [tex](\frac{4}{5})[/tex]x + 20
please help me with this math question i'm not good at math and i don't understand this well
9/2x+4 = 6/x+4
9x+36 = 12x+24
3x=12
x = 4
4+4 = 8
ED = 8