Answer:
There are 35 boys in the class.
Step-by-step explanation:
Girls to Boys ratio = 3:7
Total number of students in class = 50
Let total number of girls be '3x' and total number of boys be '7x'
Total number of girls + Total number of boys = Total number of students
3x + 7x = 50
10x = 50
x = 50/10
x = 5
[tex] \therefore [/tex]
Total number of girls = 3 × 5 = 15
Total number of boys = 7 × 5 = 35
How to graph a linear function from slope-intercept form
Answer:
Use the coefficient of x as the slope and constant as the y-intercept
Step-by-step explanation:
Start by going to your graph and plotting your y-intercept. For example, if the y- intercept is -2, plot the point (0, -2). Then from there, you need to plot the slope (let's pretend that the slope is 2/3). From the intercept, you will go up two and right one. Then starting from that point, continue using the rise over run to plot your points and then draw your line.
Which is the solution to the system
4x + y = 0
x - y = 5
Explain/Show Work
Answer:
x = 1
y = -4
Step-by-step explanation:
if you solve for y
y = -4x
plug this into the other equation
x - -4x = 5
simplify
5x = 5
x = 1
plug x into the fist equation
4(1)+y = 0
y = -4
2. Sol went to the store to buy tomatoes. They were $1.89 per pound: Last week, the
price per pound was 30% lower. What was the price of tomatoes last week?
Answer:
1.323
Step-by-step explanation:
We can find 30% of 1.89 by multiplying: 1.89 x 0.3 = 0.567
Then, we must subtract: 1.89 - 0.567 = 1.323
please heeeeeeeeeeeeeeeeeeeeelp
Step-by-step explanation:
3 is ur answer
mmmmmmmmmmm
What is an equation of the line that passes through the points (2, 1) and (3, -4)?
Answer:
huh Step-by-step explanation:
its really hard
Answer:
y = -x - 1
Step-by-step explanation:
(y - y1)/(x - x1) = (y1 - y2)/(x1 - x2)
(y - 4)/(x - (-3)) = (4 - (-1))/(-3 -2)
(y - 4)/(x + 3) = 5/-5
(y - 4)/(x + 3) = -1
y - 4 = -1(x + 3
y - 4 = -x - 3
y = -x - 1
PlEASE HELP URGENT!!!!!!!!!
If we express $3x^2 - 6x - 2$ in the form $a(x - h)^2 + k$, then what is $a + h + k$?
If we express [tex]3x^2-6x-2[/tex] in the form [tex]a(x-h)^2+k[/tex], then a + h + k = -1
The given quadratic expression is:
[tex]3x^2-6x-2[/tex]
To express [tex]3x^2-6x-2[/tex] in the form [tex]a(x-h)^2+k[/tex], follow the steps below
Rewrite [tex]3x^2-6x-2[/tex] as [tex]3x^2-6x+3-5[/tex]
Factorize common terms
[tex]3(x^2-2x+1)-5[/tex]
This can be further simplified as:
[tex]3(x-1)^2-5[/tex]
Therefore, the vertex form of the equation [tex]3x^2-6x-2[/tex] is [tex]3(x-1)^2-5[/tex]
Compare [tex]3(x-1)^2-5[/tex] with [tex]a(x-h)^2+k[/tex]
a = 3, h = 1, k = -5
a + h + k = 3 + 1 - 5
a + h + k = -1
Therefore if we express [tex]3x^2-6x-2[/tex] in the form [tex]a(x-h)^2+k[/tex], then a + h + k = -1
Learn more on vertex form of a quadratic equation here: https://brainly.com/question/17987697
Find the value of c that makes the trinomial a perfect square: x^2– 40x + c
Answer:
c=400
Step-by-step explanation:
Use the perfect square formula:
ax^2+bx+c=0
x^2-40x+c=0
bring c to the other side
x^2-40x+___=-c
divide -40 by 2 then square it; 400
add 400 to each side
c=400
(x-20)(x-20)
The value of c that makes the trinomial a perfect square x²– 40x + c is 400.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
We have to find the value of c that makes the trinomial a perfect square: x²– 40x + c
Lets use the perfect square formula:
ax²+bx+c=0
The given equation is given below.
x²-40x+c=0
Take the c term to the right hand side
x²-40x=-c
x²-40x+400=-c+400
c=400
Hence, the value of c that makes the trinomial a perfect square x²– 40x + c is 400.
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how to find the domain and range of a piecewise function without a graph
Answer:
Step-by-step explanation:
The x component of a function is domain and the y component is range of a function . For example - R1={(3,4),(5,6),(7,9)} The domain of R1 ={3,5,7} The range of R1={4,6,9}
Find the inverse of
Answer:
1/-0.5x
Step-by-step explanation:
1/2 = 0.5
-0.5x = -1/2x
Inverse function is the same as 1/fuction, so inverse of -0.5x = 1/-0.5x
Hope that helps
question that EQUALS
67.5
Can i get some help :
Answer:
b = [tex]\frac{7}{12}[/tex]
Step-by-step explanation:
b + [tex]\frac{2}{3}[/tex] = 1 [tex]\frac{1}{4}[/tex] ← change to an improper fraction
b + [tex]\frac{2}{3}[/tex] = [tex]\frac{5}{4}[/tex]
Multiply through by 12 ( the LCM of 3 and 4 ) to clear the fractions
12b + 8 = 15 ( subtract 8 from both sides )
12b = 7 ( divide both sides by 12 )
b = [tex]\frac{7}{12}[/tex]
Answer:
The value of b is 7/12.
Step-by-step explanation:
Question :
Solve for b.
[tex]{\implies{\sf{b + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]
Enter your answer as a fraction in simplest form in the box.
[tex]\implies{\sf{b = \square}}[/tex]
[tex]\begin{gathered}\end{gathered}[/tex]
Solution :
[tex]{\implies{\sf{b + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]
Converting the mixed fractions into improper fraction.
[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{(1 \times 4) + 1}{4}}}}[/tex]
[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{(4)+ 1}{4}}}}[/tex]
[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{4+ 1}{4}}}}[/tex]
[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{5}{4}}}}[/tex]
Now, transporting LHS to RHS.
[tex]{\implies{\sf{b= \dfrac{5}{4} - \dfrac{2}{3}}}}[/tex]
Taking LCM of denominators and subtracting.
[tex]{\implies{\sf{b= \dfrac{(5 \times 3) - (2 \times 4)}{12}}}}[/tex]
[tex]{\implies{\sf{b= \dfrac{(15) - (8)}{12}}}}[/tex]
[tex]{\implies{\sf{b= \dfrac{15 - 8}{12}}}}[/tex]
[tex]{\implies{\sf{b= \dfrac{7}{12}}}}[/tex]
[tex]{\star{\red{\underline{\boxed{\sf{b= \dfrac{7}{12}}}}}}}[/tex]
Hence, the value of b is 7/12.
[tex]\begin{gathered}\end{gathered}[/tex]
Verification :
[tex]{\implies{\sf{b + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]
Substituting the value of (b=7/12)
[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]
Converting mixed fractions into improper fraction
[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{(1 \times 4) + 1}{4}}}}[/tex]
[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{(4) + 1}{4}}}}[/tex]
[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{4 + 1}{4}}}}[/tex]
[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{5}{4}}}}[/tex]
Taking LCM of denominators in LHS and adding.
[tex]{\implies{\sf{ \dfrac{(7 \times 1) + (2 \times 4)}{12} = \dfrac{5}{4}}}}[/tex]
[tex]{\implies{\sf{ \dfrac{(7) + (8)}{12} = \dfrac{5}{4}}}}[/tex]
[tex]{\implies{\sf{ \dfrac{7 + 8}{12} = \dfrac{5}{4}}}}[/tex]
[tex]{\implies{\sf{ \dfrac{15}{12} = \dfrac{5}{4}}}}[/tex]
Cutting the fraction to simplest form.
[tex]{\implies{\sf{ \cancel{\dfrac{15}{12}} = \dfrac{5}{4}}}}[/tex]
[tex]{\implies{\sf{ \dfrac{5}{4}= \dfrac{5}{4}}}}[/tex]
[tex]{\star{\red{\underline{\boxed{\sf{LHS = RHS}}}}}}[/tex]
Hence Verified!
[tex]\underline{\rule{220pt}{3.5pt}}[/tex]
Someone please help i forgot how to do math aaaaaaaaaa
Answer: Refer to Step-by-step explanation
Step-by-step explanation:
To find the MAD
Step 1 Find the mean of the data.
Step 2 Find the distance between each data value and the mean.
Step 3 Add the distances together from Step 2
Step 4 Divide the sum in Step 3 by the total number of values in the data.
1) MAD = 21.36
2) Mean = 56
MAD = 3.75
3) Mean = 57
MAD = 16.67
A person bought a water tank of circular base having the radius 1.05 meter and height 3.5 m for the use of own house from the shop. If the upper part of the tank is semi spherical , how many liters of water will be contained in the tank. Find it!
Help!! :)
11000 litre of water is needed to fill the tank.
Answer:
solution given:
radius [r]=1.05m
Total height[H]=3.5m
height of cylinder[h]=2.45m
Now
The volume of the cylindrical part of tank=[tex]\pi r^2h=3.14*1.05^2 *2.45=8.4815m^3[/tex]
again
the volume of semi-spherical part of tank=[tex]\frac{2}{3} \pi r^{3} =\frac{2}{3}*3.14*1.05^3=2.4233m^3[/tex]
now
total volume=volume of the cylindrical part of tank + volume of semi-spherical part of tank
=8.4815+2.4233=10.9048 [tex]m^{3}[/tex]
we have
[tex]1m^3=1000litre[/tex]
[tex]10.9048m^3=1000*10.9048=10904.8\:litre[/tex]
Step-by-step explanation:
PLEASE NO LINKS AND NO NEGATIVITY
Answer:
8.9k
Step-by-step explanation:
Perimeter is the area around the object.
1.8k - 5 + 3.5 + 6.1k + k + 1.5
Combine like terms:
1.8k + 6.1k + k = 8.9k
-5 + 3.5 + 1.5 = 0
Therefore 8.9k is the answer. You dont need to include the +0 because it will not add anything to the answer. In the most simplified form, the answer is 8.9k
Hope that helps
Answer:
Step-by-step explanation:
What is the simplified form of
3+2−14−24
−4
when x ≠ 4?
2k+5=21 answer this problem plz
Answer:
k=8
Step-by-step explanation:
2k+5=21 (-5 on both sides to get rid of +5)
2k=16 (divide by 2 to get rid of that 2 in front of K)
k=8
Rewrite
28/9 as a mixed number.
Answer: 28/9 as a mixed number is 3 1/9
Step-by-step explanation:
Answer:
3 1/9
Step-by-step explanation:
3 times 9 is 27
27 plus 1 is 28
Which is greater?
48 fl oz
10 3/4 c
Which point would be a solution to the system of linear inequalities shown below?
Y>2/3x-4
Y<−4x−6
23% of a snack mix is almonds. How much snack mix would you need to get 230g of almonds?
Answer:
230/p = 23/100 You would need 1,000 g of snack mix.
Step-by-step explanation:
There are 1000 snack mix would be needed to get 230g of almonds.
Given that;
23% of a snack mix is almonds.
And, there are 230g of almonds.
Let us assume that;
The number of snacks = x
Hence, it can be written as,
23% of x = 230
23/100 × x = 230
23x = 23000
x = 23000/23
x = 1000
Therefore, The number of snacks = 1000 g
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a diver is 19 meters below the surface of the water.use an interger to represent how far the diver will need to travel to reacg the surface'
Answer:
19 meters
Step-by-step explanation:
if he goes straight up at 90 degreed to the surface of water, it would be 19 metres
PLEASE HELP!!!
46√2 simplified radical form
through:(-3,-1), slope=4/3
25% of the seniors class has blue eyes of the blue student 60% are females. What is the probability that seniors selected randomly is a blue eyed female.
A) 15%
B) 85%
C)60%
D)35
Explanation:
Let's say this school has 1000 seniors.
25% of this count is 0.25*1000 = 250 to indicate there are 250 seniors with blue eyes. Of this smaller count, 60% of them are girls with blue eyes. So there are 0.60*250 = 150 female seniors with blue eyes.
Divide that last number over the original value: 150/1000 = 0.15 = 15%
The probability that the senior selected randomly is a blue-eyed female is 15%.
It is given that 25% of the seniors class has blue eyes of the blue student 60% are females.
What is the probability?Probability refers to the occurrence of random events. Basically, it is the possibility to predict how likely events are to happen.
Probability of event = Number of favorable outcomes / Total number of outcomes.
Let's consider this school has 1000 seniors.
25% of this count
0.25 × 1000 = 250
Which shows that there are 250 seniors with blue eyes.
Similarly, 60% of them are girls with blue eyes.
So, there are 0.60 × 250 = 150
there are 150 female seniors with blue eyes.
Here, the probability that seniors selected randomly is a blue-eyed female
150/1000 = 0.15
= 15%
Therefore, the probability that the senior selected randomly is a blue-eyed female is 15%.
Learn more about the probability here;
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explain or show that the point (5,-4) is a solution to this system of equations
Answer:
You could substitute the point (5,-4) into each equation
Step-by-step explanation:
x=5 y=-4
3x-2y=23
3(5)-2(-4)=23
15+8=23
23=23
2x+y=6
2(5)+(-4)=6
10-4=6
6=6
The points go into each equation which proves that the point (5,-4) is the solution.
(i don't know if I did this right, I apologize if I didn't
I need the answer for this question if possible give me your thought process
[tex]\text{Given that,}\\\\(x_1,y_1) = (0,0)~~ \text{and}~~ (x_2, y_2) = (-12,5)\\\\\text{Distance between two points,}\\\\d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\\\\\implies d = \sqrt{(-12-0)^2 + (5-0)^2}\\\\\implies d = \sqrt{(-12)^2 +5^2}\\\\\implies d =\sqrt{144+25}\\\\\implies d=\sqrt{169}\\\\\implies d = 13\\\\\text{So, the answer is C.}[/tex]
what is what is sixth eighths times five(PLEASE HELP i'M STILL FAILING MATH!!!!!!!!!!!!!!!!!!!!)
Answer:
[tex]3\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]\frac{6}{8} *\frac{5}{1}[/tex]
[tex]\frac{30}{8}[/tex] multiply across
[tex]\frac{15}{4}[/tex] simplify and convert into mixed number
[tex]3\frac{3}{4}[/tex]
Research suggests that high school students could benefit from later school starting times. A school administrative team is considering a proposal to move the starting time of the local high school one hour later than the current start time. To measure interest in the proposal, members of the team randomly select subjects attending a large soccer tournament played on the high school grounds on a Saturday morning. The team finds that 58% of those surveyed support a later high school start time. Which type of bias is most likely to be present in the survey results?
This is undercoverage bias because adults with children are more likely to be included in the sample.
This is question wording bias because the phrasing of the later start times question may be confusing to some subjects.
This is nonresponse bias because some of those selected may choose to not provide their opinion on later start times.
This is voluntary response bias because vocal supporters of later start times will be more likely to offer their opinion.
Answer:
This is voluntary response bias because vocal supporters of later start times will be more likely to offer their opinion.
Step-by-step explanation:
Answer:
undercoverage bias
Step-by-step explanation:
Simplify 2^3 x 2^18
Answer:
2^21
Step-by-step explanation:
3+18=21
Answer:
2/27
Step-by-step explanation:
Here is me work: