Answer:
x=10
Step-by-step explanation:
9*10=90+7=97
hope it helps
Answer:
x = 10
Step-by-step explanation:
[tex]9x +7 = 97\\Collect-like-terms\\9x = 97-7\\9x = 90\\Divide-both-sides-of-the-equation-by-9\\\frac{9x}{9} =\frac{90}{9} \\x = 10[/tex]
Which value of x makes this inequality true?
X + 9 < 4x
We want to get out x's together on the right side of the inequality.
So, subtract x from both sides to get 9 < 3x.
Now divide both sides by 3 and we get 3 < x.
I personally like to have my variables on the left so we can move the 3 to the left and the x to the right but if we do that, we have to switch the inequality sign.
So we can rewrite this as x > 3.
if a=3 then what does 5(a+5) equal show all steps
Answer:
40
Step-by-step explanation:
5(a+5)
Let a =3
5(3+5)
Parentheses first
5(8)
Multiply
40
Answer:
40
Step-by-step explanation:
5(a+5)
5(3+5)
5(8)
40
Please answer correctly !!!!!!!!!!! Will mark BRIANLIEST !!!!!!!!!!!
Answer:
smaller x = -5
larger x = 5
Step-by-step explanation:
-x^2 - 8 = -33
Add 8 to each side
-x^2 - 8+8 = -33+8
-x^2 = -25
divide each side by -1
x^2 = 25
Take the square root of each side
sqrt(x^2) = ±sqrt(25)
x = ±5
x = -5, x = 5
Answer:
[tex]lesser \: \: \: x =( - 5 )\\ greater \: \: \: x =( 5)[/tex]
Step-by-step explanation:
[tex] - {x}^{2} - 8 = - 33 \\ - {x}^{2} = - 33 + 8 \\ - {x}^{2} = - 25 \\ {x}^{2} = 25 \\ x = \sqrt{25} \\ x = + 5 \\ x = - 5[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The height of a trapezoid is 4 in. And its area is 48 in 2. One base of the trapezoid is 6 inches longer than the other base. What are the length of the bases? Complete the explanation on how you found your answer
Answer:
9 inches and 15 inches
Step-by-step explanation:
The height of a trapezoid is 4 in.
Its area is 48 in^2.
Let a be one base and b be the second base.
One base is 6 inches longer than the other. This implies that:
a = 6 + b _________ (1)
The formula for the area of a trapezoid is given as:
[tex]A = \frac{1}{2}(a + b)h[/tex]
where h = height
From (1), we have that:
[tex]A = \frac{1}{2}(6 + b + b )h\\ \\A = \frac{1}{2}(6 + 2b )h[/tex]
We have that h = 4 and A = 48 in^2, therefore:
[tex]48 = \frac {1}{2}(6 + 2b) * 4\\ \\96 = 24 + 8b\\\\8b = 96 - 24 = 72\\\\b = 72 / 8 = 9 in[/tex]
=> a = 6 + 9 = 15 in
The bases are 9 inches and 15 inches long.
Express 250 ml as a percentage of 2 litres.
One term of (x+y)^m is 31,824x^18y^11
What is the value of m ?
Answer: The value of m is 29.
Step-by-step explanation:
Given that, One term of [tex](x+y)^m[/tex] is [tex]31,824x^{18}y^{11}[/tex] ...(i)
We know that that (r+1)th term in [tex](a+b)^n[/tex] is given by :-
[tex]T_{r+1}=^nC_ra^{n-r}b^r[/tex] ...(ii)
On comparing (i) with (ii) , we get
[tex]a= x \text{ and } b= y \\n-r =18 \text{ and } r=11\\n=m[/tex]
i.e.
[tex]m-r=18\Rightarow\ m-11=18\\\\\Rightarrow\ m=18+11=29[/tex]
Hence, the value of m is 29.
Find the indicated term of the given arithmetic sequence.
a14 for 200, 196, 192, ...
Answer:
148
Step-by-step explanation:
AP 200, 196, 192, ...
a14=?
---------
a1= 200
d= 196-200=192-196= -4
a14= a1+13d
a14= 200+13*(-4)= 200- 52= 148
Simplify the Algebraic Expressions Problems 15 - 19.
15. 7c + 8d + 2c + 17d =
16. 4(2m - 3p) + 12m + 7p =
17. (15j +9z) - (12j + 6z) =
18. 3y + 6.7x + y + 2.3x +10 - 7 =
19. 2b + (-6c) +5e - 11b + e+ 6c =
Answer: The answers are provided below
Step-by-step explanation:
15. 7c + 8d + 2c + 17d
= 7c + 2c + 8d + 17d
= 9c + 25d
16. 4(2m - 3p) + 12m + 7p
= 8m - 12p + 12m + 7p
= 8m + 12m -12p + 7p
= 20m - 5p
17. (15j +9z) - (12j + 6z)
= 15j - 12j + 9z + 6x
= 3j + 15z
18. 3y + 6.7x + y + 2.3x +10 - 7
= 6.7x + 2.3x + 3y + y + 10 - 7
= 9x + 4y + 3
19. 2b + (-6c) +5e - 11b + e+ 6c
= 2b - 11b - 6c + 6c + 5e + e
= -9b + 6e
at a school number of boy:number of girls is in the ratio 11:9
there are 124 more boys than girls
work out the total number of sutdents at the school
Answer:
1240 (I'm not so sure but per my calculation that is what i got)
Step-by-step explanation:
Boy : Girl
11 : 9
124 + x : x
11/9 = 124 + x / x
9(124 + x) = 11 x
1116 + 9x = 11x
1116 = 11x - 9x
1116 = 2x
x = 558
Thus, there are 558 girls in the school
Number of boys = 124 + x
= 124 + 558
= 682
Therefore, total number of students = 558 + 682 = 1240 students
The ratio of boys to girls in a class is 4:5
A. What fraction of the class are boys?
B. What fraction of the class are girls?
Answer:
Boys = 4/9
Girls = 5/9
Step-by-step explanation:
You add the ratio parts to find what the fraction is over.
5 + 4 = 9
Then you just need to know which part is boys and which is girls.
Boys to Girls = 4:5
Therefore Boys = 4/9 and Girls = 5/9.
Fraction of the class are boys = 4/9
Fraction of the class are girls = 5/9
What is ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given:
ratio of boys to girls = 4:5
Now, total of the ratio is = 4+5 = 9
So, fraction of the class are boys = 4/9
and, fraction of the class are girls= 5/9
Learn more about ratio here:
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El triple de la cuarta parte de un número es 18. ¿Cuál es este número?
a)24
b)72
c)48
d)12
e)6
Answer:
e) 6
Step-by-step explanation:
18 divided by 3 equals 6
I need the answer for this and how you got it please!!!
Answer:
Correct answer is B.
Step-by-step explanation:
They are equal.
A ladder is leaning against a wall. The length of the ladder is 15 meters and
the base of the ladder is placed 9 meters away from the wall. How far up
the wall will this ladder reach?
A.) 6 m
B.) 10 m
C.) 12 m
D.) 18 m
Answer:
the ladder is “c2” 15 X 15 =225
9 feet out is still squared to 81.
So c2 (225) - b2 (81) is 144 (a2)
Sqrt of 144 is 12. The ladder will be 12′ up the wall.
Answer: 12m
Step-by-step explanation:
P.S I'm emo
1. How many ways are there to get a sum of 10 when two dices are thrown?
2.How many ways are there to get a sum of 11 when two dices are thrown?
3. How many ways are there to get a sum of 12 when two dices are thrown?
Please Answer Quickly And Kindly Explain Properly, Thanks!
Answer:
1.3 2.2 3.1
Step-by-step explanation:
1. 6:4 4:6 5:5
2. 5:6 6:5
3. 12 6:6
those are the ways you can get these numbers cause every two different numbers can show up on the opposite dice
LAST TRY!!!! I HAVE THIS LAST QUESTION AND 4 MIMNTES LEFT!!!!!! PLS HELP OUT!!! WILL GIVE BRANLIEST!!! AT LEAST TAKE A LOOK!!! SHARE YO SMARTNESS! ONLY IF YOUR 100% SURE!
Which angles would apply to the consecutive exterior angles theorem?
A) 1 and 7; 2 and 8
B) 1 and 8; 2 and 7
C) 1 and 5; 3 and 7
D) 2 and 6, 4 and 8
Answer:
Step-by-step explanation:
Consecutive exterior angles lie outside on the same side of a transversal.
So it should be 3,45 and 6
What is the solution of the equation (x – 5)^2 + 3(x – 5) + 9 = 0? Use u substitution and the quadratic formula to solve.
A) x=-3+3i√3/2 B) x=7+3i√3/2 C) x=2 D) x=8
Answer:
[tex] x = \dfrac{7 \pm 3i\sqrt{3}}{2} [/tex]
Step-by-step explanation:
(x – 5)^2 + 3(x – 5) + 9 = 0
This is a quadratic equation in x - 5.
Let u = x - 5, then the quadratic equation becomes:
u^2 + 3u + 9 = 0
We can use the quadratic formula to solve for u.
[tex] u = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] u = \dfrac{-3 \pm \sqrt{3^2 - 4(1)(9)}}{2(1)} [/tex]
[tex] u = \dfrac{-3 \pm \sqrt{9 - 36}}{2} [/tex]
[tex] u = \dfrac{-3 \pm \sqrt{-27}}{2} [/tex]
[tex] u = \dfrac{-3 \pm 3i\sqrt{3}}{2} [/tex]
Since u = x - 5, now we substitute x - 5 for u and solve for x.
[tex] x - 5 = \dfrac{-3 \pm 3i\sqrt{3}}{2} [/tex]
[tex] x = \dfrac{-3 \pm 3i\sqrt{3}}{2} + 5 [/tex]
[tex] x = \dfrac{-3 \pm 3i\sqrt{3}}{2} + \dfrac{10}{2} [/tex]
[tex] x = \dfrac{7 \pm 3i\sqrt{3}}{2} [/tex]
Answer:
x = 7+/-3i sqrt3 over 2
Step-by-step explanation:
Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all males. (Accommodating 100% of males would require very wide seats that would be much too expensive.) Men have hip breadths that are normally distributed with a mean of 14.2 in. and a standard deviation of 1.2 in. Find Upper P 99. That is, find the hip breadth for men that separates the smallest 99% from the largest 1%.
Answer:
Upper P99 = 17 in.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 14.2, \sigma = 1.2[/tex]
Upper P99
This is X when Z has a pvalue of 0.99. So X when Z = 2.327.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.327 = \frac{X - 14.2}{1.2}[/tex]
[tex]X - 14.2 = 1.2*2.327[/tex]
[tex]X = 17[/tex]
So
Upper P99 = 17 in.
Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer:
32 polo, 28 measles
Step-by-step explanation:
4p + 2m = 184 <-- doses
p + m = 60 <-- vaccines
solve:
4p + 2m = 184
-2p - 2m = -120 <-- multiplied both sides by -2
------------------------
2p = 64
p = 32
plug back in:
32 + m = 60
p = 32
m = 28
A bicycle wheel is 63 centimeters from top to bottom. When the wheel goes all the way around one time,the bicycle travels 198 centimeters. How can this information be used to estimate the value of
Divide the distance traveled by the wheel to guess the value or estimate the value of π.
What is a circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center.
Given
Height of the wheel = 198
Perimeter of the wheel = 63
Height of the wheel is the diameter of the circle
Perimeter of the circle is π × diameter of the circle
P = [tex]\pi[/tex] × d
198 = [tex]\pi[/tex] × 63
[tex]\pi[/tex] = [tex]\frac{198}{63}[/tex]
[tex]\pi[/tex] = 3.14
Hence, Divide the distance traveled by the wheel to guess the value or estimate the value of π.
Learn more about circle here
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Which point on the graph represents the y-intercept?
Please help me!!!!!!
Answer:
16.7 cm
Step-by-step explanation:
So B = 180 -A-C=180-58-75=47degree
sinB/AC = sinC/AB
sin47/AC=sin75/22
AC=16.65cm
express 0.0043216 in standard form
Answer:4.3216*10^-3
Step-by-step explanation:
Answer:
4.3216*10^(-3)
Step-by-step explanation:
Moving the decimal point 3 places to the right results in 4.3216*10^(-3), which is in standard form.
classify the following triangle check all that apply
A.Isosceles
B.Scalene
C.Right
D.Obtuse
E.Acute
F.Equilateral
Answer:
c.Right
Step-by-step explanation:
because of the 90 degrees it shows that it is 90 degrees
Answer:
B. scalene
C. right
Step-by-step explanation:
Which set of properties describes a square?
Answer:a parallelogram with one right vertex angle and two adjacent equal sides. a quadrilateral with four equal sides and four right angles. a quadrilateral where the diagonals are equal and are the perpendicular bisectors of each other, i.e. a rhombus with equal diagonals.
Step-by-step explanation:
help me hahahahahahhahahahaha
Solve: 2x – 3 = 5(x + 6)
Answer:
-11 =x
Step-by-step explanation:
2x – 3 = 5(x + 6)
Distribute
2x -3 = 5x + 30
Subtract 2x from each side
2x -3 -2x = 5x -2x +30
-3 =3x +30
Subtract 30 from each side
-3-30 =3x+30-30
-33 = 3x
Divide by 3
-33/3 = 3x/3
-11 =x
Answer:
x=(-11)
Step-by-step explanation:
2x - 3=5(x+6)
2x - 3 = 5x + 30
+3 +3
2x = 5x + 33
-5x -5x
-3x = 33
(divide both sides by -3)
x=(-11)
PLZ HELP I'VE BEEN STUCK FOR A LONG TIME PLZ HELP
(c-d)/5 - 2 = 0
c-6d=0
Given the equations, what is the value of c/d?
PLZ HELP WILL MARK BRAINLIEST
Answer:
c/d = 6
Step-by-step explanation:
Use the second equation.
c - 6d = 0
Add 6d to both sides.
c = 6d
Divide both sides by d.
c/d = 6
Work out
3/4 times 1/2
Answer:
[tex]\frac{3}{4} * \frac{1}{2} = \frac{3}{8}[/tex] alternatively, the answer is 0.375
Charlotte’s essay on pigs was 824 words in length. Wilbur’s essay was only 360 words long. What is the ratio of Charlotte’s essay to Wilbur’s?
Answer:
824/360 or 824:360
Step-by-step explanation:
quick mafs
Answer:824/360,p or 824:360 or 824 to 360
Ricky has found that for every belt buckle he sells, he makes 7 + bx 4 dollars in profit, where b is the number of belt
buckles sold. How much profit will Ricky make by selling 52 belt buckles?
Answer:
215$ in profit
Step-by-step explanation:
So first, plug 52 into the equation. That makes it 7+52*4. In PEMDAS, multiplication goes first. So multiply 52*4. That makes it 208. So now plug 208 into the equation. That is 7+208. Finally, you finish the equation. 7+208 is 215, so Ricky make 215$ in profit.
