Answer:
[tex]q=8.5[/tex]
Step-by-step explanation:
The ratio of the side lengths (AB) and (BC) is given. One is also given an expression for the side lengths of each of these sides. Set up a proportion to describe this scenario, then solve using cross products;
[tex]\frac{AB}{BC}=\frac{3}{4}[/tex]
Substitute,
[tex]\frac{60}{10q+15}=\frac{3}{4}[/tex]
Cross products,
[tex]\frac{60}{10q+15}=\frac{3}{4}[/tex]
[tex](60)(4)=(10q+15)(3)\\\\240=30q+45[/tex]
Inverse operations,
[tex]240=30q+45\\\\195=30q\\\\8.5=q[/tex]
A dodecahedral die (one with 12 sides numbered from 1 to 12) is tossed once. Find the probability that the number on the upward face is divisible by 3. (Enter the probability as a fraction.)
Answer:
the probability is [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
there are 4 numbers on a 12 sided die that can be divided by 3: 3, 6, 9, and 12.
so the probability would be [tex]\frac{4}{12}[/tex], or [tex]\frac{1}{3}[/tex]
Using the concept of probability. The chances of having a value which is divisible by 3 is 1/3
Recall :
Probability = required outcome / Total possible outcomesTotal possible outcomes = Sample space = 12
Required outcome = numbers divisible by 3 :
(3, 6, 9, 2) = 4 outcomesP(number divisible by 3) = 4 / 12 = 1/3
Therefore, the probability of having a number which is divisible by 3 is 1/3
Learn more : https://brainly.com/question/18405415
A jug holds 10 pints of milk. If each child gets one cup of milk, it can serve children. (Hint: 1 cup = 8 fluid ounces and 1 pint = 16 fluid ounces.)
Answer:
20 children
Step-by-step explanation:
We can see that 1 pint is equal to 2 cups. Since the jug holds 10 pints of milk, we can convert that to cups by multiplying by 2. We realize that the jug holds 20 pints of milk.
Since each child needs one cup of milk to be satisfied, we can state that the jug can satisfy 20 children.
Answer:
20 childrenyjvvvvggguggggyg
The solutions to the equation 2x^2 + x - 1 = 2 are x = -3/2 or x = _______.
Answer:
The remaining solution to the equation is x = 1
Step-by-step explanation:
2x^2 + x - 1 = 2
First set the equation to zero by subtracting 2 from each side:
2x^2 + x - 1 - 2 = 2 - 2
2x^2 + x - 3 = 0
Factor the left side of the equation:
2x^2 + x - 3 = 0
(2x + 3)(x - 1) = 0
Now set each factor to zero and solve:
2x+ 3 = 0
2x+ 3 - 3 = 0 - 3
2x= -3
2x/2= -3/2
x= -3/2 (The given expression)
x - 1 = 0
x - 1 + 1 = 0 + 1
x = 1
Since we already knew x = -3/2, the missing solution is x = 1.
asap answer pls -------------------
Answer:
f(2) = - 5
Step-by-step explanation:
Using the recursive rule and f(1) = - 3 , then
f(2) = 2f(1) + 1 = 2 × - 3 + 1 = - 6 + 1 = - 5
Help Help Help Help Help Help Help Help Help Prove the divisibility of the following numbers: 10^9+10^8+10^7 by 555
Pull out a common factor of 10⁷:
10⁹ + 10⁸ + 10⁷ = 10⁷ (10² + 10¹ + 10⁰)
… = 10⁷ × 111
Factorize 10 as 2 × 5, then distribute the power of 7:
… = 2⁷ × 5⁷ × 111
Pull out a factor of 5 and multiply it with 111:
… = 2⁷ × 5⁶ × 5 × 111
… = 2⁷ × 5⁶ × 555
So 555 divides 10⁹ + 10⁸ + 10⁷.
Need help on this!! 10 points!!
Answer:
Step-by-step explanation:
The change of base formula is
[tex]log_a(b)=\frac{log_{10}b}{log_{10}a}[/tex] so filling in our given:
[tex]log_{13}}(297)=\frac{log_{10}297}{log_{10}13}[/tex] (Note: you do not have to put the base of 10 in the change of base formula because the "normal" base for a log is 10 and that is how your calculator figures it.)
Do this on your calculator to get
[tex]\frac{log297}{log13}=2.2198[/tex] Not sure how many decimal places you needed!
vedanta Excel In Opt. Mathematics - Book 9
8.
Find the locus of a point which moves so that
Its distance from (1, 2) and (2, -3) are equal.
Which point on the number line represents a drop in temperature of 3 degrees from 0 degrees?
Answer:
Point A
Step-by-step explanation:
The question is asking for a drop in 3 degrees. That means whatever point we start on, we subtract 3 from it. We start on 0, so 0-3=-3. That is point A.
Answer:
A
Step-by-step explanation:
Find the intersection point between the lines of equations:
2x-y+6=0 and 2x+3y-6=0
Step-by-step explanation:
The two equation will intersect each other at the point which will be the solution of the given two equations , and the given equations are ,
[tex]\implies 2x -y +6=0\\\\\implies 2x + 3y -6=0[/tex]
On subtracting the given equations we have,
[tex]\implies -y - 3y +6 -(-6) = 0 \\\\\implies -4y = -12 \\\\\implies y = -12/-4\\\\\implies y = 3 [/tex]
Put this value in any equation , we have ,
[tex]\implies 2x -3 +6 =0\\\\\implies 2x = -3 \\\\\implies x =\dfrac{-3}{2} \\\\\implies x =-1.5 [/tex]
Hence the lines will Intersect at ,
[tex]\implies\underline{\underline{ Point=(-1.5, 3)}}[/tex]
for the first one x = 1/2 y-3" and y = 2 x + 6 and for the other one is x = − 3 /2 y+ 3 and y= − 2 /3 x + 2
how i did this Step 1: Add -3y to both sides.
Step 2: Add 6 to both sides.
Step 3: Divide both sides by 2.
Please help me!!! ASAP!
Which table represents a linear function?
A. X. Y
2. -46
4. -18
6. 58
B. X. Y
2. -2
4. 4
6. 14
C. X. Y
2. 11
4. 14
6. 17
D. X. Y
2. -6
4. 6
6. 26
Answer:
ans is C................
I don’t get this pls helppppppp!!!!!!!!!!!!
Answer:
1) f(x)<x+4
f(x)>-x-3
f(x)<5
[tex]ANSWER: (-3,4)[/tex]
2)2.5>0+2
2.5<0+3
2.5<0+5
[tex]ANSWER: (0,2.5)[/tex]
----------------------------
HOPE IT HELPS
HAVE A GREAT DAY!!
Fill in the missing numbers.
0, 1, 5 ,4 ,...., 12 ,.....
Answer:
the answer is 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14, etc........
0,1,2,3.... is a whole number
1,2,3,4.......is a natural number
Three years ago, Daniel bought a baseball card for $20. The baseball card gains a value of $10 each year for the next three years. A friend offers to buy the baseball card foe twice the value, how much would the friend pay?
Answer:
The friend would pay $100
Step-by-step explanation:
The price of the card was $20 when Daniel bought it, it gained a value of $10 every year,
since Daniel bought it 3 years ago we will add $30 to $20 as the value increased by $10/year
so the price becomes $50, but his friend says he'll pay twice the value so,
$50×2= $100
Find the inverse of the function y = x2 – 12
Answer:
y=sqrt(x+12)
i hope this helped and have a nice day/night :)
Question is in the image
What is the simplified algebraic expression?
If two angles are supplementary and one angle measure is 110 degrees, what is the measure of the other angle?
Answer:
70 degrees
Step-by-step explanation:
Supplementary angles are angles that have a sum of 180. So if 110 is one angle, 70 must be the other to total 180:
110+ x = 180
x = 70
Answer:
70°
Step-by-step explanation:
what is a square plus b square?????????????????
Answer:
c squared
Step-by-step explanation:
Answer:
C Squared
Step-by-step explanation:
Which inequality is true?
A.
|-15| > |-19|
B.
|-16| < |13|
C.
|-15| > |12|
D.
|12| < |-8|
E.
|-19| > |-20|
Answer:
I don't know I don't know about question
Solve the equation sin(x - 20°) = cos(42º) for x, where 0
Answer:
[tex]x = 68[/tex]
Step-by-step explanation:
Sine are Cosine are Complementary Angles.
We can use this formula
[tex] \sin(x) = \cos(y) [/tex]
when x+y=90.
Add the expressions in the parentents to 90 and solve for x.
[tex]x - 20 + 42 = 90[/tex]
[tex]x + 22 = 90[/tex]
[tex]x = 68[/tex]
The answer is
[tex]x = 68[/tex]
WILL GIVE 50 POINTS PLS RESPOND FAST!!!!
The table below shows the radius y, I’m centimeters, created by grouping algae in x days:
Time (x) 2 4 6 8
(Days)
Radius(y) 4 7 10 14
(cm)
Part A: what is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and radius of the algae. [choose the value of the correlation coefficient from 1, 0.97, 0.5, 0.2.]
Part B: what is the value of the slope of the graph of radius versus time between 6 and 8 days, and what does the slope represent?
Part C: does the data in the table represent correlation or causation? Explain your answer.
Answer:
wait whats your question
Step-by-step explanation:
On Monday, a localamburger shop said a combined total of 225 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number
of hamburgers sold. How many hamburgers were sold on Monday?
hamburgers
х
?
Answer:
h = hamburgers sold
2h - 72 = 578
2h = 650
2 2
h = 325
There were 72 fewer cheeseburgers sold than hamburgers. That means cheeseburgers = 325 - 72
325 - 72 = 253
253 = cheeseburgers
325 = hamburgers
253 + 325 = 578
Hamburgers = 325
Hope this helps :)
Last year, sales at a book store increased from $5,000 to $10,000. This year, sales decreased to $5,000 from $10,000. What percentage did sales
increase last year? What percentage did sales decrease this year?
Sales increased
last year, from $5,000 to $10,000. When sales dropped from $10.000 to $5,000 this year, sales decreased
Answer:
Last year sales increased by 200%. This year sales decreased by 50%.
Step-by-step explanation:
A triangle has a base of 15 inches and an area of 60 square inches. What is the height of the triangle? In
your final answer, include all of your calculations.
Hi there!
[tex]\large\boxed{h = 8in}[/tex]
Area of a triangle:
A = 1/2(bh)
Plug in given values:
60 = 1/2(15h)
Solve for h. Multiply both sides by 2:
120 = 15h
Divide both sides by 15:
120/15 = h
h = 8 in
Answer:
8 inches
Step-by-step explanation:
1. BasicsArea of a triangle: [tex]\frac{1}{2}BH[/tex]
2. Solving[tex]\frac{60}{15} *2[/tex][tex]4*2=8[/tex]2. Checking[tex]\frac{1}{2}(8)(15)=\frac{1}{2} (120)=60[/tex] CORRECT
8 inches
Hope this helped! Please mark brainliest :)
Mark and John share the cost of a birthday gift. The cost of the gift is $20.48. Mark pays for 2/3 of the gift and John pays for the remaining 1/3. How much did each boy pay?
Given:
Cost of gift = $20.48
Mark pays for [tex]\dfrac{2}{3}[/tex] of the gift and John pays for the remaining [tex]\dfrac{1}{3}[/tex].
To find:
The amount paid by each boy.
Solution:
We have,
Cost of gift = $20.48
Mark pays for [tex]\dfrac{2}{3}[/tex] of the gift. So, the amount paid by Mark is:
[tex]20.48\times \dfrac{2}{3}\approx 13.653[/tex]
John pays for the remaining [tex]\dfrac{1}{3}[/tex]. So, the amount paid by John is:
[tex]20.48\times \dfrac{1}{3}\approx 6.827[/tex]
Therefore, the amount paid by Mark and John are $13.653 and $6.827 respectively.
Please help! will give brainly
Answer:
5/6
Step-by-step explanation:
first form numerator you will multiply by π it means 3.14 multiply 11
the answer equals 34.54 ..and then you will use √ it means square root....so the answer is 5
the annwer is
5/6
Answer:
Step-by-step explanation:
[tex]\frac{11\pi }{6}[/tex] = 11 × [tex]\frac{\pi }{6}[/tex] = (12 - 1) × [tex]\frac{\pi }{6}[/tex]
The terminal point located in IV quarter ⇒ x-coordinate is positive and y-coordinate is negative.
(x, y) = ( [tex]\frac{\sqrt{3} }{2}[/tex] , - [tex]\frac{1}{2}[/tex] )
3. Find the volume of the figure. Simplify.
Cube
x + 4
Answer:
[see below]
Step-by-step explanation:
V = s^3
V = (x+4)^3
V = x^3 + 3x^2 * 4 + 3x * 4^2 + 4^3
V = x^3 + 12x^2 + 48x + 64
Hope this helps.
Apply the distributive property to create an equivalent expression.
4(x - 2 + y) =4(x−2+y)=4, left parenthesis, x, minus, 2, plus, y, right parenthesis, equals
Answer:
[tex]4x-8+4y[/tex]
Step-by-step explanation:
We are given that an expression
[tex]4(x-2+y)[/tex]
We have to find an equivalent expression using distributive property .
Distributive property:
[tex]a\cdot (b+c)=a\cdot b+a\cdot c[/tex]
Using the property
[tex]4(x-2+y)=4(x-2)+4\cdot y[/tex]
[tex]4(x-2+y)=4x+4(-2)+4y[/tex]
[tex]4(x-2+y)=4x-8+4y[/tex]
Hence, the equivalent expression of the given expression is given by
[tex]4x-8+4y[/tex]
What is the value of a?
A.50 B.90 C.27.5 D.45
Answer:
[tex]a = 45 \times 5 \\ a = 90 \degree[/tex]
Answer:
B. 90
Step-by-step explanation:
The 45° angle is an inscribed angle that subtends arc a.
An inscribed and measures half the measure of its subtended arc.
45° = (1/2) * a°
a = 2 * 45
a = 90
[tex]\text{Solve for 'x'.}\\\\x^2-25=0\\\\\text{Thank you.}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = \pm 5[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\x^2-25 = 0\\-------------\\\rightarrow x^2 -25 + 25 = 0 + 25\\\\\rightarrow x^2 = 25\\\\\rightarrow \sqrt{x^2}=\sqrt{25}\\\\\rightarrow \boxed{x = \pm 5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
[tex]x = 5 \: \: \: or \: \: \: x = - 5[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 25 = 0 \\ {x}^{2} - {5}^{2} \\ ( x - 5)(x + 5) = 0 \\ \\ x - 5 = 0 \\ x = 5 \\ or \\ x + 5 = 0 \\ x = - 5[/tex]