Answer:
Step-by-step explanation:
14 x + 5y = 329
11x + 5y = 281(vans is x and busses are y)
cancel out 'y' by making the '5y' in 11x + 5y = 281 negative
-1 (11x + 5y = 281) =
-11x -5y = -281
insert second equation
-11x -5y = -281
14x + 5y = 320
3x = 48
x = 16
substitute vans in one equation
11(16) + 5y = 281
5y = 105
y = 21
Sally built a rectangular prism using cubic units. What is the volume of the rectangular prism Sally built?
Answer:
64
Step-by-step explanation:
The volume of rectangular prisms is measured by l*w*h
And by counting the units of the length, width, and height are all 4 units long.
So take the numbers and plot them into the formula
4*4*4 = V
16 * 4 = V
64 = V
The prism is 64 cubic units.
Sam bought an $85.00 for 40% of the regular price.How much did he pay for the jacket?
Answer:
he payed 34$ for the jacket
Step-by-step explanation:
What is y+3=4(x-1) in Slope intercept form ?
a) Estimate 0.42 x 0.064 by rounding both numbers to one significant figure.
b) Work out the exact value of 0.42 x 0.064
Answer:
A) 0.030
B) 0.026
Step-by-step explanation:
I hope this HELP! :)
The amount that Ronnie earns, E, in terms of the number of hours that he works, h, is shown in
the graph below.
What is the constant of proportionality. E/h for this situation
Answer:
8
Step-by-step explanation:
The constant of proportionality bus the amount earned by Ronnie, E, all over the corresponding hours he used in working, h.
Constant of proportionality = [tex] \frac{E}{h} [/tex]
From the graph given, when h = 5, E = 40.
Therefore:
Constant of proportionality = [tex] \frac{E}{h} = \frac{40}{5} = 8 [/tex]
Brian measures his height at 160cm to the nearest 10cm.
What is the tallest he could be?
Give the upper bound as your answer.
Answer:
170 cm is the tallest
negative four times the sum of a number and 3 is at least 28, translate.
Answer: [tex]-4 * (n+3) \geq 28[/tex]
Step-by-step explanation:
Negative four -> [tex]-4[/tex]
Times the sum of a number and 3 -> [tex]-4 * (n + 3)[/tex]
Is at least 28 -> [tex]-4 * (n+3) \geq 28[/tex]
HELP ME WITH THE ANSWERS NOW
!!
Answer: QPR=31
Step-by-step explanation: first you would combine 3x and 7x which equals 10x. Then you combine -95 and -38 which equals -133. then you set up an equation like 10x - 133 = 47. Add 133 to both sides. 10x = 180. Divide both sides by 10. X= 18. 18 times 7 equals 126. 126 - 95 equals 31
Neurons are brain cells. Where would a new neuron come from?
Answer:
New neurons are born not from mature nerve cells but rather develop from neural stem cells that remain in our brains throughout life. Indeed, in some brain areas, there is continual turnover of neurons - old ones die and new ones are born - and these new neurons can participate in circuits that underlie learning.
Step-by-step explanation:
9. Peyton is collecting data on the lunch habits of students at Hyattsville Middle School. In one class, 14 students bring lunch from home, and 20 buy a school lunch. Hyattsville Middle School has 1700 students. From the data collected, how many students would Peyton predict would buy a school lunch?*
Answer: Around 1000 students would buy a schoo lunch.
Step-by-step explanation:
We know that in one class, 14 students bring lunch from home, and 20 buy lunch in the school. This will be our sample.
In total we have 20 + 14 = 34 students, this will be our 100%.
The percentage of students that bring lunch from home can be estimated as the quotient between the number of students that bring lunch from home and the total number of students, times 100%.
p1 = (14/34)*100% = 41.18%
And the percentage of students that buy lunch at school can be computed in the same way:
p2= (20/34)*100% = 58.82%
Then, out of the 1700 students in middle school, we can estimate that around 58.82% of them will buy lunch in the school.
Then the exact number will be:
N = (58.82%/100%)*1700 = 1000
Around 1000 students would buy a schoo lunch.
is y=7x proportional
Answer: Yes. It is inversely proportional.
Step-by-step explanation:
In your question, the constant of proportionality already jump out at us which is to get y, we have to multiply x by 7. Therefore the constant of proportionality is y=7x.
what expression is equivalent to (7² )⁵ ÷ 7¯⁶
Answer: 7^16
Step-by-step explanation:
what is the side length of 144 square miles and 134 square miles
Answer: square root of 144 = 12 miles
Square root of 134 = 11,57 miles
PLS HELP FIND ANGLE MEASUREMENTS
Answer:
From my observations, AOB looks like an isosceles triangle, so A=18 and B=18. Since a triangle must add up to 180. We do 180-18-18=144. O= 144. Then, triangle BOC looks like an isosceles triangle as well. So, we do 180-144= 36 so O = 36 and then we 180-36=144/2 because two sides have the same angles giving us 72 degrees for angles B and C = 72 and for O= 36
So,
x = 72
y = 36
If x= 2 what does y equal
Answer:6
Step-by-step explanation:
4.8(x)+1.2(y)=2.4
y would equal -6.
4.8(2)+1.2(y)=2.4
9.6 + 1.2y = 2.4 subtract 9.6 from both sides
1.2y = - 7.2 divide by 1.2 on both sides
y = -6
Lonny is serving soup for charity. Each bowl holds 2.15 cups of soup. How many bowls will Lonny use if he serves a total of 94.6 cups of soup?
Two 5-year girls, Alyse and Jocelyn, have been training to run a 1-mile race. Alyse's 1 mile time A is approximately Normally distributed with a mean of 13.5 and standard deviation of 2.5 minutes. Jocelyn's 1-mile time J is approximately Normally distributed with a mean of 12 minutes and a standard deviation of 1.5 minutes. Assuming A and J are independent random variables, what is the probability that Alyse has a smaller time than Jocelyn in a 1 mile race on a randomly selected day?
Answer:
1.7 × 10⁻⁴
Step-by-step explanation:
The question relates to a two sample z-test for the comparison between the means of the two samples
The null hypothesis is H₀: μ₁ ≤ μ₂
The alternative hypothesis is Hₐ: μ₁ > μ₂
[tex]z=\dfrac{(\bar{x}_1-\bar{x}_2)-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}[/tex]
Where;
[tex]\bar {x}_1[/tex] = 13.5
[tex]\bar {x}_2[/tex] = 12
σ₁ = 2.5
σ₂ = 1.5
We set our α level at 0.05
Therefore, our critical z = ± 1.96
For n₁ = n₂ = 23, we have;
[tex]z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^{2} }{23}-\dfrac{1.5^{2}}{23}}} = 3.5969[/tex]
We reject the null hypothesis at α = 0.05, as our z-value, 3.5969 is larger than the critical z, 1.96 or mathematically, since 3.5969 > 1.96
Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day and the probability that Alyse has a larger time than Jocelyn is 0.99983
Therefore;
The probability that Alyse has a smaller time than Jocelyn is 1 - 0.99983 = 0.00017 = 1.7 × 10⁻⁴.
Refer the below solution for better understanding.
Step-by-step explanation:
Given :
Standard Deviation, [tex]\rm \sigma_1 = 2.5\; and\;\sigma_2= 1.5[/tex]
Calculation :
The null Hypothesis is [tex]\rm H_0: \mu_1\leq\mu_2[/tex]
The alternative Hypothesis is [tex]\rm H_a: \mu_1>\mu_2[/tex]
Now,
[tex]z = \dfrac{(\bar{x_1}-\bar{x_2})-(\mu_1-\mu_2)}{\sqrt{\dfrac{\sigma_1^2}{n_1}-\dfrac{\sigma_2^2}{n_2}} }[/tex] --------------- (1)
putting the values of
[tex]\bar{x_1}=13.5,\;\bar{x_2}=12,\;\sigma_1=2.5,\;\sigma_2=1.5[/tex]
in equation (1)
[tex]z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^2}{23}-\dfrac{1.5^2}{23}} }[/tex]
z = 3.5969
We reject the null hypothesis at
[tex]\alpha =0.05[/tex]
z-value is larger than the critical z.
3.5969 > 1.96
Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day.
The probability that Alyse has a larger time than Jocelyn is 0.99983
Therefore, the probability that Alyse has a smaller time than Jocelyn is
[tex]1-0.99983 = 0.00017 = 1.7\times10^-^4[/tex]
For more information, refer the link given below
https://brainly.com/question/20165896?referrer=searchResults
Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
round 13.045 to the nearest hundreth
Answer:
13.00
Step-by-step explanation:
pls help question attached
What is the answer for t?
4(t + 3) = 24
Answer:
3
Step-by-step explanation:
4(t +3)=24
4t +12 =24
4t =24 - 12
4t =12
t =12 :4
t =3
Answer:
t = 3
Step-by-step explanation:
Original Equation:
4(t + 3) = 24
Use distributive property
4 x t = 4t
4 x 3 = 12
Your equation:
4t + 12 = 24
Subtract 12 from both sides
4t = 12
Divide both sides by 4
t = 3
Hope this helped :)
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If you like skittles then you like candy True or false
Answer:
trueeeeeeeeeeeeeeeee
Use the inverse relationship to complete the expression.
If i = square root of -1, then t^2= ?
Answer:
revertive is correct. The answer is -1
Step-by-step explanation:
which TWO Points cannot be included in the function that includes (-2,6),(-1,4),(0,2),(1,0)(3,-4) and (4,6)
A).(-4,10)
B). (-1,5)
C).(2,-3)
D).(4,8)
E).(6,-9)
Answer:
B D
Step-by-step explanation:
z+w−3=k
6z−10w=8
Answer:
if your looking for z it is 5/8k+2.375
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please, include the instructions.
I'm assuming you want to solve this system of linear equations for z and w, assuming that k is an unknown constant.
Use the method of elimination by addition and subtraction. To eiiminate w, multiply all four terms of the first equation by 10, obtaining:
10 z + 10w - 30 = 10k
6z - 10 w = 80
Then 16z - 30 - 80 = 10k, or
16z -110 = 10k, Simplifying this, we get:
10(k + 11)
z = ---------------
16
Substituting this expression for z into the first equation, we get:
(10/16)(k + 11) + w - 3 = k. We must solve this for w:
-(10/16)(k + 11) + w - 3 = k), or
-(10/16)(k + 11) - w + 3 = -k
Then -(10/16)(k + 11) + 3 + k = w
and so the solution, in terms of the unknown constant k, is
10(k + 11)
( --------------, -(10/16)(k + 11) + 3 + k )
16
Given these two data sets, IQ-GPA and IQ-SAT, how would you predict Justin’s SAT score based on his GPA? Explain.
Answer:
First, use the equation of the trend line to find the IQ that is expected by the GPA. Next, use the other equation of the trend line to find the SAT that is predicted by the IQ.
Step-by-step explanation:
have a great day!
Answer:
First, use the equation of the trend line to find the IQ that is expected by the GPA. Next, use the other equation of the trend line to find the SAT that is predicted by the IQ.
Step-by-step explanation:
it was correct on edge
help...plz!!
−5x + (−2) = −2x + 4
Answer:
x = -2
Step-by-step explanation:
Remove brackets
-5x - 2 = -2x + 4
Rearrange by collecting the like terms and putting them on either side
-5x + 2x = 4 + 2
Simplify
-3x = 6
Divide both sides by -3 to make x on its own
-3/-3x = 6/-3
x = -2
What are the 4 lowest numbers to average 80 percent . (Lowest possible and one of the numbers has to be 60)
Answer:
5,5,10, and 60
Step-by-step explanation:
Find the remaining numbers
80-60= 20
10 + 10 = 20
Break it up to get 4 numbers total
5 + 5 + 10 = 20
20 + 60 = 80
The angle measures of a triangle are 2y + 3 degrees, 9y – 7 degrees, and 7y + 4 degrees. Which of the following is not one of the angle measures of the triangle?
Answer:
55
Step-by-step explanation:
The measures of the angles are 23, 83, and 74 degrees. 97 degrees is not the measure one of the angle measures of the triangle option (B) is correct.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
It is given that:
The angle measures of a triangle are 2y + 3 degrees, 9y – 7 degrees, and 7y + 4 degrees.
As we know,
The sum of the interior angle of the triangle is 180 degrees
2y + 3 + 9y - 7 + 7y + 4 = 180
18y = 180
y = 10
2y + 3 = 2(10) + 3 = 23 degres
9y - 7 = 9(10) - 7 = 83 degrees
7y + 4 = 7(10) + 4 = 74 degrees
Thus, the measures of the angles are 23, 83, and 74 degrees. 97 degrees is not the measure one of the angle measures of the triangle option (B) is correct.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
Learn more about the angle here:
brainly.com/question/7116550
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Draw a number line diagram and write an expression to represent this situation: "On Tuesday at lunchtime, it was 29 ∘C. By sunset, the temperature had dropped to 16 ∘C.
Answer:
Step-by-step explanation:
look at the png
