Direct and Indirect Proportions
1.
The ratio of Mumuni's age to his father's age is 3:5. The
sum of their ages is 96years. What is Mumuni's age?
2.
Peter and John shared GH¢1000.00 in the ratio 2 : 5
Calculate the amount each received.
3.
Mr. Opuni shared GH¢15,000.00 among his three childre
Gloria, Ophelia and Tina in the ratio 3:5:7. Calculate t
amount each received.
4.
The angles of a triangle are in the ratio 6:5: 7. Calc
the size of each angle.
Answer:
?
Step-by-step explanation:
Rhombus ABCD ~Rhombus EFGH. The scale factor is 3. Angle A = 80° , Angle B = 70° Angle C = 110°, and Angle D = 100°.What are the measures of Angle E, Angle F, Angle G, and Angle H Group of answer choices
Answer:
d 100
Step-by-step explanation:
Simplify. ( 2^9 × 3^5 ) × ( 2^4 × 3 )^2
The Choices Are
A. 16^20
B. 6^24
C. 2^13 x 3^7
D. 2^17 x 3^7
According to my study guide the answer is D, but I am unsure how to get to that answer.
Step-by-step explanation:
hope this helps you my friend
you can refer the steps I've added in the pic
the length of a rectangle is six times its width. if the area of the rectangle is 294 cm^2, find its perimeter.
Answer:
98 inches
Step-by-step explanation:
6x^2=294
x^2=49
x=7
2*7+2*42= 14+84=98 inches
Read carefully and choose the name of the student who made the correct statement.
Answer:
Rosie is correct
Step-by-step explanation:
can i get brainliest
Answer:
Rosie
Step-by-step explanation:
which of the ordered pairs is a solution to the system of inequalities?
Please help- I cannot get this wrong
Answer:
Top left table
Step-by-step explanation:
It increases at a constant rate of 2 in the y for every 2 in the x so its slope is 1.
Answer:
Top left corner.
Step-by-step explanation:
2, 7
4, 9
6, 11
8, 13
The coordinates increase at a proportional rate.
Which of the following expressions is equivalent to the one below? 7(x + 7)
A.
7 + (x + 7)
B.
7x + 49
C.
7x + 7
D.
x + 49
Ann cut her king-size chocolate bar into 12 equal parts. She ate 7 parts. Which equation shows two equivalent ways to represent how much chocolate is left from Ann's chocolate bar?
Answer:
= 5 parts left
Step-by-step explanation:
12-7=5
Answer:
Step-by-step explanation: 12-7=5
Mixed numbers from 4 to 6 with an interval of 1/4 between each pair of numbers
Frank can purchase bags of apples in four sizes. Which size is the Best Buy?
Answer:
um what are the 4 sizes
Step-by-step explanation:
What is the first step when solving the equation: 3x-8=343x−8=34 ?
Answer:
Adding 3x and 343x together
Step-by-step explanation:
and then you'd have 346x + -16 = 34
just comment if you need the answer to the equation too good luck ;)
What Quadrant is 4,-8 located in
Answer:
4
Step-by-step explanation:
5. Veronika works at Future Shop and earns $10.50/h plus 6% commission on sales. Last week Veronika worked 40
hours. What was Veronika's weekly gross salary if her total sales were $2050?
what is a comparison sentence for 24=6*4
Answer:
24=6×4
24=24
therefore the the comparison sentence is 24=6×4
Work out the percentage change to 2 decimal places when a price of £11 is decreased to £8.
Answer:
= 27.2727% decrease
Step-by-step explanation:
The percentage change to 2 decimal places when a price of £11 is decreased to £8 is 27.27%
How to find how much percent 'a' is of 'b'?Suppose a number is 'a'
Suppose another number is 'b'
We want to know how much percent of 'b' is 'a'.
Then, it is calculated as:
[tex]\dfrac{a}{b} \times 100[/tex]
(in percentage)
Given that:
A price is decreased from 11 euros to 8 euros.We've to find the percent changePercent change shows how much percent of the initial amount is changed.
Since we're taking about 'change', so it doesn't matter whether this was a positive change or a negative change.
Percent change = Percent that "absolute difference of 11 and 8" is of "inital price 11"
Absolute difference of 11 and 8 = [tex]|11 - 8| =3[/tex] (in euros)
Initial price is 11 euros.
Then, we get:
Percent change in price = the percent which 3 is of 11.
Let 3 is x% of 11, then we get:
[tex]x = \dfrac{3}{11} \times 100 = 27.27\overline{27}\approx 27.27[/tex]
Thus, percent change in considered price for this case is approximately 27.27%
Learn more about percent here:
https://brainly.com/question/11549320
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The distance from Joe's house to the creek is 5.5 km. The distance from Jane's house to the creek is twice as far. Both Joe and Jane are leaving their houses to go to the creek. How much further, in meters, does Jane have to walk than Joe?
Answer:
5500 meters
Step-by-step explanation:
Convert 5.5 km to meters= 5500meters
Find distance of Jane's house to the creek= 11000 meters
Subtract both distances= 11000-5500= 5500 meters
-1.1x + 8.1x + 38 = -32
X = -10
Explanation:
-1.1x + 8.1x + 38 = -32
Combine like terms : -1.1x + 8.1x
7x + 38 = -32
Subtract 38
7x = -70
Divide by 7
7x = -70/7
Answer:
x = -10
Answer:
x= -10
Step-by-step explanation:
1. start by subtracting 38 from both sides
-1.1x+8.1x+ (38-38)= (-38-32)
2. Solve
-1.1x+8.1x= -70
3. Add the x- values
7x=-70
4. Solve
x= -10
Jessica can swim a lap in 29 2/5 seconds, Marta can swim a lap in 28.7 seconds, Marta can swim a lap in 28.7 seconds, how much faster can Marta swim a lap than Jessica.
Answer:
Marta can swim a lap 0.7 or seconds faster than Jessica
Using the digits 1, 2, 3, 4, 5, 6, 7, and 9, make 4 two-digit prime numbers. What is the sum of those four prime numbers?
Answer:
13, 17, 19, and 23
Step-by-step explanation:
13+17+19+23=72
For signing up for the rewards program at a pizzeria, Haley got a card with 15 points. For each pizza she orders, she earns 8 points. Once she hits 175 points, she gets a free pizza. How many pizzas will she need to order to get a free one?
Answer:
20 pizzas
Step-by-step explanation:
what is 3х - 4<-19=
Answer:
x= -5
Step-by-step explanation:
3х - 4<-19=
add +4 to both sides
3x<-15
divide 3 on both sides
x<-5
might have to rewrite the final answer
Pls help
Find the questions?
Answer:
Step-by-step explanation:
(a). - 5t² + 35t - 60 = 0
(b). (x - 3)(x - 4) = 0
(c). t = 3, 4
what is the slope of a surface having a rise of 5 feet and a run of 0 feet?
A. 100%
B. Undefined
C. 5
D. 50
E. 0
In late June 2012, Survey USA published results of a survey stating that 55% of the 579 randomly sampled Kansas residents planned to set off fireworks on July 4th. Determine the margin of error for the 55% point estimate using a 95% confidence level. The margin of error is: _____% (please round to the nearest percent)
Answer:
The Margin of Error E [tex]\simeq[/tex] 4.1 %
Step-by-step explanation:
Given that:
The sample size = 579
The sample proportion [tex]\hat p = 55\%[/tex] = 0.55
From the confidence interval of 95%
The level of significance ∝ = 1 - C.I = 1 - 0.95 = 0.05
The critical value of [tex]Z_{\alpha/2 } = Z_{0.025} = 1.96[/tex]
Thus;
The Margin of Error E = [tex]Z_{\alpha/2 } \times \sqrt{{\dfrac {\hat p ( 1 - \hat p }{n}}[/tex]
The Margin of Error E = [tex]1.96 \times \sqrt{{\dfrac {0.55 ( 1 - 0.55) }{579}}[/tex]
The Margin of Error E = [tex]1.96 \times \sqrt{{\dfrac {0.55 ( 0.45 )}{579}}[/tex]
The Margin of Error E = [tex]1.96 \times \sqrt{{\dfrac {0.2475}{579}}[/tex]
The Margin of Error E = [tex]1.96 \times \sqrt{{4.2746114 \times 10^{-4}}[/tex]
The Margin of Error E = [tex]1.96 \times .020675[/tex]
The Margin of Error E = 0.040523
The Margin of Error E [tex]\simeq[/tex] 0.041
The Margin of Error E [tex]\simeq[/tex] 4.1%
Calendars are on sale for 13 off the regular price. What is the sale price of a calendar with a regular price of $14.55?
Answer:
I don't know if my answer is correct but I would say $12.65
Step-by-step explanation:
The reason I would say this is because 13 percent off 14.55 is 1.8915 and I rounded that to 1.89 and subtracted that from 14.44 to get $12.65
A downtown parking garage charges individuals to park a car according to the following rate schedule: $1.00 for the first hour, then $2 for each subsequent hour until the daily maximum charge of $9.00 is reached. These charges are represented in the graph below.
which of the following is true?
Answer:
In the graph, a white dot means that the value does not belong to the set, while the colored dot means that the value does belong.
Let's analyze each statement (from top to bottom)
1)The x-axis represents the number of hours, and the y-axis the charge.
Then let's find x = 2.
You can see that there is a colored dot at y = $3, and a white dot at y = $5.
Then the price for exactly two hours is $3, not $5.
Then this first statement is wrong.
2) You can assume that 20 minutes is in between x = 0 and x =1, then from that point, you can see that the equivalent value of y is $1. Then the individuals who park only for 20 minutes will be charged with $1,
This statement is wrong.
3) 1 hour and 15 minutes is in between 1 and 2 hours.
And as you can see, for 1 < x ≤ 2, the price is $3. Then this statement is correct.
4) Here we have x > 4.
In the graph you can see that all values of x > 4 are mapped into the black part of the graph, which is equivalent to the maximum charge of $9.
Then this statement is correct.
Number 17 and 18 pls ASAP thanks
Zoe practices the piano 812 minutes in 4 weeks. At what rate did she practice, in minutes per day
Answer:
Step-by-step explanation
Given
Zoe practices the piano 812 minutes in 4 weeks
4 weeks=7×4
=28 days
she practice, in minutes per day=812/28
=29 minutes
So she practices 29 minutes per day
If two balanced die are rolled, the possible outcomes can be represented as follows. (1, 1) (2, 1) (3, 1) (4, 1) (5, 1) (6, 1) (1, 2) (2, 2) (3, 2) (4, 2) (5, 2) (6, 2) (1, 3) (2, 3) (3, 3) (4, 3) (5, 3) (6, 3) (1, 4) (2, 4) (3, 4) (4, 4) (5, 4) (6, 4) (1, 5) (2, 5) (3, 5) (4, 5) (5, 5) (6, 5) (1, 6) (2, 6) (3, 6) (4, 6) (5, 6) (6, 6) Determine the probability that the sum of the dice is 11.
Answer:
1/18Step-by-step explanation:
A die is known to have 6 faces. If n die are rolled, the total number of outcomes or sample space is expressed as;
n(S) = [tex]6^n[/tex] where;
n is the total number of dies
If two balanced die are rolled, the total number of sample space will be;
n(S) = [tex]6^2 = 36[/tex]
Since we want to to determine the probability that the sum of the dice is 11, the possible outcome or event will be;
n(E) = {(5, 6), (6,5)}
N(E) = 2
Probability = Possible outcome/Total outcome
Probability that the sum of the dice is 11 = n(E)/n(S)
Probability that the sum of the dice is 11 = 2/36
Probability that the sum of the dice is 11 = 1/18