Answer:
1500 cm
Step-by-step explanation:
Volume = length x Width x Height
Length = 30 cm
Width = 10 cm
Height = 5 cm
30 x 10 x 5 = 1500
A woman is q years old while her son is p years old. the sum of their ages is equal to twice the difference of their ages. the product of their ages is 675.
write down the equations connecting their ages and solve the equations in order to find the ages of the woman and her son. WAEC
Step-by-step explanation:
Given
[tex]q + p = 2(q - p)[/tex]
as equation 1.
I used q-p as the difference as logically the woman will be older than her son.
Also given,
[tex]qp = 675[/tex]
as equation 2.
Using equation 2,
[tex]q = \frac{675}{p} [/tex]
substitute this equation into equation 1.
[tex] \frac{675}{p} + p = 2( \frac{675}{p} - p) \\ \frac{675}{p} + p = \frac{1350}{p} - 2p \\ \frac{675}{p} - \frac{1350}{p} = - 2p - p \\ - 3p = - \frac{675}{p} \\ - 3p \times p = - 675 \\ - 3 {p}^{2} = - 675 \\ {p}^{2} = - 675 \div - 3 \\ {p}^{2} = 225 \\ p = \sqrt{225} \\ = 15[/tex]
Substitute P into equation 2.
[tex]15q = 675 \\ q = 675 \div 15 \\ = 45[/tex]
Therefore the woman is 45 years old while her son is 15 years old.
Kay wants to increase the number 9,653 by multiplying. By which number can she multiply to get a product that is greater than 9,6537 (please show step by step explanation)
A: 4/5
B: 2/2
C: 9/4
D: 7/8
Answer:
Option C.
Step-by-step explanation:
Kay has the number 9.653
We want to find a number such that if we multiply this one by that number, the product will be larger than 9.6537
First, you need to notice that 9.6537 > 9.653
Now you need to remember that if we have a number A and a number B.
A*B > A if B > 1
A*B = A if B = 1
A*B < A if 0 < B < 1
Then we need to find an option with a number larger than 1.
Also, a rational number a/b is larger than 1 only if a > b
The only option which has an option larger than 1 is C.
C: 9/4 = 8/4 + 1/4 = 2 + 1/4
How do you find the h variable? 3ℎ+7=19
Answer:
h=4
Step-by-step explanation:
Subrtract 7, giving you 12.
Then divide by 3 to isolate h. Giving you 4.
Lana is putting lace trim around the
border of a circular tablecloth. The
tablecloth has a diameter of 1.2 meters.
To the nearest meter, what is the least
amount of lace she needs? Use 3.14 for T.
Answer:
[tex]1.2 \times 3.14[/tex]
Step-by-step explanation:
The ratio of a circumference to its diameter is equal to an irrational number, called pi, roughly equal to 3.14, denoted by symbol
[tex]\pi[/tex]
Therefore, knowing the diameter d, the circumference is equal to d*π
Hypnosis is a state of human consciousness involving a heightened sense of focus and concentration while blocking out sources of distraction. Researchers believe 80% of all people can be hypnotized. A random sample of 50 people showed that 42 of them were hypnotized successfully. Find the p-value and z-score to determine to show that 80% or more can be hypnotized.
a. p = 1.84, z = 0.71
b. p = 1.71, z =1.84
c. p = 0.71, z = 0.84
d. p = 0.76, z = 0.71
what letter does it match?
Answer:
B. Slope-intercept form is y = mx + b. M is slope, so it would be the one right in front of x which is -3 :)
Help ASAP! 40 points plus brainly !
Step-by-step explanation:
use the distance formula. calculate the distance between AB and then between CD showing AB = CD.
then use the distance formula on BC and AD, showing they are equal.
d=√((x_2-x_1)²+(y_2-y_1)²)
20/22 is the tangent value of which reference angle
Answer:
X
Step-by-step explanation:
Mathematically, the tangent of an angle is the ratio of the opposite side to the adjacent side
So, for 20/22; 20
is the opposite while 22 is the adjacent
The opposite side simply refers to the side that faces the given angle
We have the opposite side here as facing the angle X and that makes X the correct answer
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters. Do not include units in your answer (degrees, degree symbols, etc) (FR) *
Answer:
60
Step-by-step explanation:
Central angle = intercepted arc
centroid of triangle with vertices (0,0) ,(3,0) & (0,-3) is……. [ ]
a) (1,1) b) (1,-1) c) (-1,1) d) (0,0)
Answer:
b
Step-by-step explanation:
centroid
x=(x1+x2+x3)/3=(0+3+0)/3=3/3=1
y=(y1+y2+y3)/3=(0+0-3)/3=-3/3=-1
centroid =(1,-1)
Di are you alright? I noticed the fact that you aren't online from 7th April or so-
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
• 5 cm and 8 cm 8
• 6 cm and 7 cm
0 7 cm and 2 cm
• 8 cm and 9 cm
sorry I tried to find out the correct answer but because of one mistake I can't remember
Write an equivalent expression.
−2(7+6g)
Choose the correct answer below.
A.
−2(7+6g)=6g−14
B.
−2(7+6g)=−2−12g
C.
−2(7+6g)=−14+6g
D.
−2(7+6g)=−14−12
please help lol
I need help with letter B, find the area
Answer:
58
Step-by-step explanation:
6*8+2*2+3*2=58
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
30 is the volume
Step-by-step explanation:
Multiple 6x5 to get your answer
Anyone help ?? Sorry please
Answer:
All the points in the scatter plot are written as (x, y)
Where x is the value in the horizontal axis (in this case the weight)
and y is the value in the vertical axis (in this case, the number of seeds)
We want to know the weight of 100 seeds.
We know that the number of seeds is represented in the vertical axis.
Then, first let's look at the vertical axis and find the value 100.
Now let's move horizontally the right until we meet the point.
Once we meet the point, let's move vertically to the horizontal axis, and see in which value we intersect the axis.
If we do that, we can see that we will intersect the x-axis at the value x = 5.
And this axis represents the weight in kg, then the weight of 100 seeds is 5kg.
This is from my algebra class, can anyone can answer this?
Answer:
y = (x + 1)^2 + 2
Step-by-step explanation:
The graph is 2 units up and 1 unit to the left
a = 1 because from the vertex, it goes 1 up when left/right, then 4 up when left/right
plss help i’ll give brainliest thank you!
Answer:
d
Step-by-step explanation:
in c greatest common factor is 8
But in D
Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 20 = 1, 2, 4, 5, 10, 20
Look only 4 is GCF
What’s the answer for this
the angle is 37 degrees
Answer:
36.87°
Step-by-step explanation:
tan x= opposite/adjacen
x=tan ^-1(300/400)
x=36.86989765
Find the area of the following shapes
Area of small rectange = 7 cm × 4 cm = 28 cm sq
Area of bigger rectangle = 4cm×10 cm = 40 cm sq
Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq
total area of polygon = ( 28 + 40 + 12 ) cm sq
area of polygon = 80 cm sq
Find the equation of the line of best fit shown below.
Answer:
it’s a
Step-by-step explanation:
just do rise over run count how many it is going up from your y intercept to a point on the graph then count to the right from your y intercept to get your answer.
Shawna is a member of the swim team. She can swim 3 laps in 3 minutes
and 21 seconds. If Shawna swims at the same pace, how long would it take
her to swim 8 laps?
Answer:
8 minutes and 53 seconds
Answer:
8 minutes and 56 secondsStep-by-step explanation:
3 laps ⇒ 3 minutes and 21 seconds given1 lap ⇒ 1 minute and 7 laps divide by 3 8 laps ⇒ 8 minutes and 56 seconds multiply by 8Jeffery is making a wall design with tape. How much tape does he need to put the design shown on his wall? Explain how you used the information in the diagram to find your answer
Answer:
I can't see the diagram could you attach it
Step-by-step explanation:
In order to determine the average price of hotel rooms in Atlanta, a sample of 63 hotels were selected. It was determined that the test statistic (z) was $-1.53. We would like to test whether or not the average room price is significantly different from $110. Population standard deviation is known to us. Compute the p-value.
Answer:
Pvalue = 0.063008
Step-by-step explanation:
Given :
Sample size, n = 63
The test statistic = - 1.53
To test if average room price is significantly different from $110 ; μ = $110
H0 : μ = 110
H1 : μ < 110
From the test statistic value obtained, we could see that the test is left tailed
The Pvalue :
P(Z < - 1.53) = 0.063008
If the claim is to be tested at 5% level of confidence then
Pvalue > 0.05 ; Hence, we fail to reject the. NULL. Hence, average price is not significantly different from $110
A random sample of adults was surveyed about whether they shop online. Of the 90 adults surveyed, 72 stated they shop online. What is the 99% confidence interval for p, the proportion of adults who shop online?
Find the z-table here.
(0.72, 0.88)
(0.70, 0.90)
(0.69, 0.91)
(0.68, 0.92)
Answer:
(0.69, 0.91)
Step-by-step explanation:
Hope this helps!
The 99% confidence interval for p is (0.698, 0.902), which is closest to option (B) (0.70, 0.90).
What is a confidence interval?A confidence interval is a range of values that are constrained by the statistic's mean and that are likely to include an unidentified population parameter. The proportion of likelihood, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn several times is referred to as the confidence level.
To find the 99% confidence interval for the proportion of adults who shop online, we need to use the formula:
CI = p ± z√((p(1-p))/n)
where p is the sample proportion (72/90 = 0.8), n is the sample size (90), and z is the z-score corresponding to the 99% confidence level (from the z-table, this is 2.576).
Substituting the values, we get:
CI = 0.8 ± 2.576√((0.8(1-0.8))/90)
Simplifying, we get:
CI = 0.8 ± 0.102
Therefore, the 99% confidence interval for p is (0.698, 0.902).
To learn more about the confidence interval;
https://brainly.com/question/24131141
#SPJ7
The length of a track around a field is 1/4 miles. You run 3 1/2 times
around the track. How far did you run?
Answer: 7/8 of a mile
I need help, please! ASAP.
Answer:
Formula for percent change is C = {x_2 - x_1}/{x_1}
C = relative change
x_1 = initial value
x_2 = final value
Step-by-step explanation:
Answer:
<_> daddy
Step-by-step explanation:
i need help with my homework, and the question is:
what is the equation of line? write in the form y=mx+b
it passes through (2,-5) and its x-intercept is 4.
Answer:
When the line intercepts the x axis, this means that y will be 0.
therefore the 2 coordinates the line passes through are (2,-5) and (4,0)
given equation of line:
y=mx+b
where m = slope
b = y-intercept.
Let (2,-5) and (4,0) be (x1,y1) and (x2,y2) correspondingly.
slope of line = y1-y2 / x1 - x2
[tex] = \frac{ - 5 - 0}{2 - 4} \\ = \frac{ - 5}{ - 2} \\ = \frac{5}{2} [/tex]
Now substitute x = 4, y = 0 and m = 5/2 into equation of line to find b.
[tex]0 = ( \frac{5}{2} )(4) + b \\ 10 + b = 0 \\ b = 0 - 10 \\ = - 10[/tex]
therefore equation of line will be:
[tex]y = \frac{5}{2} x - 10[/tex]
What is the equation of the line that passes through the point (2,-4)(2,−4) and has a slope of 22?
The price of a bowl of plain pho is 6$. With 4 ingredients added, the total is 8$. Find the price of each ingredient
Answer:
0.5
Step-by-step explanation:
6+ 4x = 8
or, 4x = 8-6
or, 4x = 2
x = 0.5
What is the distance between (5, -6) and (2, -6) on a coordinate plane?
Answer:
3 units is the answer..
hope it helps