9514 1404 393
Answer:
Sarah is 7Bob is 14Nellie is 17Step-by-step explanation:
Let s, b, n represent the current ages of Sarah, Bob, and Nellie, respectively.
s = b/2 . . . . . . Sarah is half Bob's age
2(s+3) = n+3 . . . . in 3 years, Nellie will be twice Sarah's age
s + b + n = 38 . . . . . their ages now add to 38
__
We can rearrange the first two equations to find Bob and Nellie's age in terms of Sarah's. Then we can substitute into the third equation to find Sarah's age.
b = 2s . . . . . . multiply the first equation by 2
2s +3 = n . . . . subtract 3 from the second equation and simplify
s +(2s) +(2s+3) = 38 . . . . substitute for b and n
5s = 35 . . . . . . . . . . . . subtract 3, collect terms
s = 7 . . . . . . . . . . . . divide by 5
b = 2(7) = 14
n = 2(7) +3 = 17
Sarah is 7, Bob is 14, and Nellie is 17.
Đại số tuyến tính sinh viên
Answer:
si
Step-by-step explanation:
what is the greatest digit formed by 5 6 7 8 and 9
Answer:
98765 is the greatest digit that can be formed using those numbers
A bag contains 170 marbles. There are red, blue and yellow marbles in a ratio of 9:3:5. How many yellow marbles does the bag contain?
Answer:
50 yellow marbles.
Step-by-step explanation:
Information:
170 marbles
RED : BLUE : YELLOW
9 : 3 : 5
Solving:
To find out how many yellow parts there are, we need to find out how many marbles 5 parts account to.
Altogether, 9 + 3 + 5 = 17. This means there are 17 parts.
The bag contains 170 marbles and the ratio adds up to 17 parts.
We can figure out what 1 part of the ratio accounts to by dividing 170 by 17.
[tex]\frac{170}{17}[/tex] = 10.
1 part = 10
Now remember yellow is 5 parts, now that we know that 1 part is 10, we need to multiply 10 by 5 to find out how many yellow marbles we have.
5 x 10 = 50.
Therefore we have 50 yellow marbles.
The number of yellow marbles in the bag is 50
Ratio shows the relationship among numbers. Ratio is the frequency a value is contained in other values. For example, if the ratio of boys to girls in a class is 2:1. It means that there are twice as many boys in the class as there are boys.
In order to determine the number of yellow marbles in the bag, express the ratio of the yellow marbles as the sum of the total ratio and multiply by the total number of marbles in the bag.
Number of yellow marbles = (ratio of yellow marbles / sum of ratios) x total number of marbles
Sum of ratios = 9 + 3 + 5 = 17
(5 / 17) x 170 = 50 marbles.
To learn more about ratios, please check: https://brainly.com/question/19257327?referrer=searchResults
ANSWER BOTH IF POSSIBLE
Answer:
Question 8: (3,12)
Question 9: (8,-9)
Step-by-step explanation:
Question 8.
(5+x)/2 = 4
5+x=8
X = 8-5
X=3
(-6+y)/2=3
-6+y=6
Y=12
Question 9
(-2+x)/2=3
-2+x=6
X=8
(9+y)/2=0
9+y=0
Y=-9
Which is the solution to the inequality below?
1x + 2 + 5 4
0 -3 < x < -1
no solution
O x < -3
O x > -1 or x < 3
Answer:
ox,-3
Step-by-step explanation:
Write an equation of the circle (6, -3) and radius 12.
This is my answer:
(x-6)^2 + (y+3)^2= 144
Is my answer correct? ^ means exponent
Answer:
(x-6)^2 + (y+3)^2= 144
Step-by-step explanation:
The equation of a circle can be written in the form
(x-h) ^2 + (y-k) ^2 = r^2 where (h,k) is the center and r is the radius
( x-6) ^2 + ( y--3)^2 = 12^2
(x-6)^2 + (y+3)^2= 144
12. Write an expression for the phrase 3 times the quantity 7 less than m
A. 3(m - 7)
B. 317-m)
C. 3(m + 7)
D. 3 + m - 7
Answer:
A
Step-by-step explanation:
7 less than m=m-7
multiplied by 3 = 3(m-7)
Answer:
C. 3(m + 7)Step-by-step explanation:
First,
7 less than m = m - 7
Then,
3 times the quantity of 7 less than m = 3 ( m - 7 )
Hence,
Req. expression is 3(m-7)
(3 x 9) - (3 x 4) = ? x (9 - 4)
Answer:
15
Step-by-step explanation:
3×9 =27
3×4= 12
27-12= 15
:) hope it helps
Consider the following expression
I think that the anwser is probably 10.6
Add.
−5/6+(−2 5/8)
Enter your answer as a simplified fraction by filling in the boxes.
Step-by-step explanation:
[tex] - \frac{5}{6} + ( - 2 \frac{5}{8} )[/tex]
[tex] = - \frac{5}{6} - \frac{21}{8} [/tex]
[tex] = \frac{ - 20 - 63}{24} [/tex]
[tex] = \frac{ - 83}{24} (ans)[/tex]
What is p (blue)? ......
Answer:
P(blue)= 0.25 or 1/4
Step-by-step explanation:
On this spinner, each spot is the same size; therefore, there is a 1 in 4 chance that the spinner lands on blue. This is because there are 4 options but only one of them is blue. Then, if you want a decimal just divide 1 by 4. This equals 0.25. Additionally. If you wanted the answer as a percentage multiply the decimal by 100, so the percentage would be 25%.
Is that the right answer..?
9514 1404 393
Answer:
the correct answer is 47
Step-by-step explanation:
You are correct down to the part where you're adding the numbers.
50 -10 +7 = 40 +7 = 47
__
The sign of the 7 is positive. The minus sign only applies to 10.
_____
Additional comment
Here, 50 -10 is an easy sum. Sometimes it is easier to add all the positive numbers, then subtract the sum of the negative numbers. Here, that would look like ...
(50 +7) -(10) = 57 -10 = 47
Find the solution for
2 - 3(x +4) = 8
Answer:
The answer is -6.
Step-by-step explanation:
2-3*(-6+4)=8
2−3
Help Me quick my cousin needs to get this done I’ll give you 10 extra points for who ever picked the correct answer please and thank you!
A. [tex] \cos \: x - 4 \: \cos \: x \: { \sin}^{2}x[/tex] (first option)
Step-by-step explanation:➡️ [tex] \cos(x + 2x) [/tex]
➡️ [tex] \cos \: x \: { \cos}^{2} x - \sin \: x \: { \sin }^{2} x[/tex]
➡️ [tex] \cos \: x(1 - 2 \sin^{2}x) - \sin \: x \times 2 \sin(x) \cos(x) [/tex]
➡️ [tex] \cos(x) - 2 \sin^{2} x \cos(x) - 2 \sin^{2} x \cos(x) [/tex]
➡️ [tex] \cos(x) - 4 \cos(x) \sin^{2} x[/tex]
A number divided by 4 plus 3 is 8
Answer:
[tex]number = x \\ \frac{x}{4} + 3 = 8 \\ \frac{x}{4} = 5 \\ x = 20 \\ thank \: you[/tex]
Answer:
[tex]let \: the \: number \: be \: x \: \\ then \: \\ \frac{x}{4} + 3 = 8 \\ \frac{x}{4} = 8 - 3 \\ \frac{x}{4} = 5 \\ x = 5 \times 4 \\ x = 20 \\ \: hence \: 20 \: is \: your \: answer \:hope \: it \: helped[/tex]
Please Help!!! Will give brainliest
Answer:
all limits exist.
Step-by-step explanation:
plz see in the picture for more explaination.
What is the answer to this?
Answer:
18
Step-by-step explanation:
x+11=3x-25
36=2x
x=18
add 6 to the difference between 9 and 7
a) 7- (9 + 6)
b) (7 - 9) + 6
c) (9 - 7) + 6
d) 9 - (7 + 6)
This is the only one I’m stuck onnn omg
eg jammu jdndhdbshsbsbs
Answer:
A: [tex]3\frac{1}{3}[/tex]
B: [tex]3\frac{2}{3}[/tex]
I hope this helps!
pls ❤ and mark brainliest pls!
The normal blood glucose level is between 70 mg/dL and 130 mg/dL. Write a compound inequality to represent the values at which blood glucose is not normal.
Let the input be x
x is greater than or equal to 70mg/dl.x is less than or equal to 130mg/dl.[tex]\\ \rm\Rrightarrow x\geqslant 70mg/dl[/tex]
[tex]\\ \rm\Rrightarrow x\leqslant 130mg/dl[/tex]
Now
[tex]\\ \rm\Rrightarrow 70mg/dl\leqslant x\leqslant 130mg/dl[/tex]
Or
[tex]\\ \rm\Rrightarrow 130mg/dl\geqslant x\geqslant 70mg/dl[/tex]
Answer:
70 ≤ x ≤ 130
130 ≥ x ≥ 70
Step-by-step explanation:
We know that a persons glucose level can only be equal to or between 70 and 130 mg/dL. We can create an inequality to represent this;
70 < x < 130
This means that anything in between will work but anything less or more will not. You can also write this inequality as 130 > x > 70.
In word form you would say this:
A humans glucose level can only be more than or equal to 70 and less than or equal to 130.Best of Luck!
use the given sets to answer the following questions A=1,3,5,7 B=2,3,4,5,6,8 c=2,3,5 D=1,2,3,4,5,6,8
Step-by-step explanation:
Steps are in the picture above.
Answer pls urgent shhzhzhsensnsj
Answer:
1/6 + 1/2 = 1/6 + 3/6 = 4/6
SIMPLIFIED IS = 2/3
Step-by-step explanation:
Answer and explanation?
Answer:
∠HDG = 117°
∠FDG = 180°
Step-by-step explanation:
∠FDG:
Since ∠FDG is a straight line, it measures 180°. This is because every straight line measures 180°.
∠HDG:
∠HDG = ∠FDG - ∠FDH
∠HDG = 180° - 63°
∠HDG = 117°
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!Ben paid $86 for 40 gallons of gas. How much would $15 gallons cost?
Answer:
32.25
Step-by-step explanation:
For 40 gallons of gas = $86
For 1 gallon of gas = 86/40 = $2.15
For 15 gallons of gas = 15 x 2.15 = 32.25
67. Evaluate 2a - 3 when a = - 5
Answer:
-13
Step-by-step explanation:
2a - 3, where a = -5
= 2(-5) - 3
= -10 - 3
= - 13
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\huge\textsf{2a - 3}\\\\\huge\textsf{= 2(-5) - 3}\\\\\huge\textsf{= -10 - 3}\\\\\huge\textsf{= -13}\\\\\\\huge\textsf{Therefore, your answer is: \boxed{\mathsf{-13}}}\huge\checkmark\\\\\\\huge\textsf{Good luck on your assignment \& enjoy your day!}\\\\\huge\textsf{Amphitrite1040:)}[/tex]
Find the slope of the line passing through the points ( 9, -5) and (1, -1)
Answer:
m = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{2} }[/tex]
~~~~~~~~~
( 9 , - 5 )
( 1 , - 1 )
m = ( - 1 - ( - 5 ) ) / ( 1 - 9 ) = - [tex]\frac{1}{2}[/tex]
Solve: 2 In 3 = In(x-4)
Answer:
x = 13
Step-by-step explanation:
one of the rules of logarithm (for all bases, by the way, not just e for ln) is
[tex]a \times ln(b) = ln( {b}^{a} ) [/tex]
so, we have
ln(3²) = ln(x-4)
=>
3² = x - 4
9 = x - 4
x = 13
Final grades are often computed using weighted averages. Some college professors use complicated weighted averages. Your college professor tells you he will give a 33%-67% split on grades between tests and homework where whichever average is higher will be the 67%.
What will your final grade be if your homework average is 95 and your test average is 56?
Answer value
Using weighed averages, it is found that your final grade will be of 82.13.
-----------------------------------
The weighed average is given by the sum of the grades multiplied by it' weights.The homework grade is 95.The test grade is 56.The higher grade is worth 67% of the grade. Thus, the homework grade, of 95, is worth 67% of the final grade.The lower grade is worth 33% of the grade. Thus, the test grade, of 56, is worth 33% of the final grade.Using the data and the weighed average concept, the final grade is:
[tex]G = 0.67(95) + 0.33(56) = 82.13[/tex]
The final grade is 82.13.
A similar problem is given at https://brainly.com/question/24398353
Find any domain restrictions on the given rational equation x/x+4 + 12/x^2+5x+4 = 8x/5x-15
Answer:
x ≠ -4, -1, 3
Step-by-step explanation:
12/(x^2+5x+4) = 8x/(5x-15)
12/((x+1)(x+4)) = 8x/(5(x-3))
division by zero is undefined
There are 3 answers to your question. x= -1 x= 3 x= -4