The rate at which she bats is an illustration of ratio and proportions
She's expected to bat 574 times in 162 games
In 131 games, she bat 464 times
Represent this as a ratio
[tex]\mathbf{Ratio = 131 : 464}[/tex]
Let the number of times she bat in 162 games be represented with x.
So, the ratio is represented as:
[tex]\mathbf{Ratio = 162 : x}[/tex]
Equate both ratios
[tex]\mathbf{162 : x = 131 : 464}[/tex]
Express as fractions
[tex]\mathbf{\frac{x}{162 }= \frac{464}{131 }}[/tex]
Multiply both sides by 162
[tex]\mathbf{x= \frac{464}{131 } \times 162}[/tex]
Multiply
[tex]\mathbf{x= \frac{75168}{131 } }[/tex]
Divide
[tex]\mathbf{x= 574}[/tex]
Hence, she's expected to bat 574 times in 162 games
Read more about ratios and proportions at:
https://brainly.com/question/7810782
<C and <F are a linear pair. If m<C = 3x and m<F = 3x + 18, find m<F.
Answer:
108
Step-by-step explanation:
A linear pair adds to 180 degrees
<C + <F = 180
3x+ 3x+18 = 180
6x+18 =180
6x+18-18= 180-18
6x =162
6x/6 =162/6
x=27
<F = 3x+18 = 3(27)+18 =81+27 = 108
please help!!!!!!!!!
Answer:
reserved tickets = 6 and general admissions tickets = 15
Step-by-step explanation:
[tex]25r + 10g = 150[/tex]
Use two variables to make the equation r for reserved tickets and g for general admission. Reserved cost 25 so put that with r and general cost 10 so out that with g. Since he has 150 to spend the equation will equal 150.
Set r equal to 0 since he isn't buying reserved tickets and only general. Solve for g
[tex]25(0) + 10g = 150 \\ 10g = 150[/tex]
divide both sides by 10
[tex] \frac{10g}{10} = \frac{150}{10} \\ g = 15[/tex]
Now set g equal to zero since he isn't buying any general tickets. Solve for r.
[tex]25r + 10(0) = 150 \\ 25r = 150[/tex]
divide both sides by 25
[tex] \frac{25r}{25} = \frac{150}{25} \\ r = 6[/tex]
Which statement is correct about the system of linear equations graphed below? On a coordinate plane, 2 lines are parallel to each other.
A. The system of equations has one solution because the lines will eventually intersect. B. The system of equations has one solution because the lines will never intersect.
C. The system of equations does not have one solution because the lines will eventually intersect.
D. The system of equations does not have one solution because the lines will never intersect.
Answer:
D. The system of equations does not have one solution because the lines will never intersect.Step-by-step explanation:
If two lines are parallel, then there is no intersection and therefore no solutions.
Correct choice is D
Answer:
D. The system of equations does not have one solution because the lines will never intersect.
edg2021Unit Test
Step-by-step explanation:
(a−2b)3 when a=−3 and b=−12
help plsss
(the three is an exponent)
Answer:
9261
Step-by-step explanation:
Substitute -3 for a and -12 for b in (a - 2b)^3:
(-3 - 2·-12)^3, or
(-3 + 24)^3, or
21^3 = 9261 (answer)
Help? Find the exact value.
a sketch of y = x^2 + cx + d is shown the turning point is (2,3) work out the values of c and d
Answer:
c= - 4, d = 7Step-by-step explanation:
Given function:
y = x² + cx + dThe vertex is (2, 3)
We know the vertex form:
y = (x - h)² + k, where (h, k) is vertexSubstitute coordinates to get:
y = (x - 2)² + 3 = x² - 4x + 4 + 3 = x² - 4x + 7Compare with given to find out:
c = - 4, d = 7Please help me, I struggle the most in this class and this is the last question
Beth has 6 blue envelopes. She has 2 fewer yellow envelopes than blue envelopes. She has 7 times as many green envelopes as yellow envelopes. How many envelopes does Beth have in all?
PLEASE ANSWER MY LITTLE SISTER DOESN'T TRUST ME WITH THE REAL ANSWER PLSSSSSS
Answer:
38
Step-by-step explanation:
No. of yellow envelopes she has
= 6-2
= 4
No. of green envelopes she has
= 7×4
= 28
Total number of envelopes she has
= 6+4+28
= 38
please help i don't know how to do this
Step-by-step explanation:
y = (x - 4)/x = x/x - 4/x = 1 - 4/x
c = 1
r = -4
done ...
Sale price = original price - rate of discount is the formula we used if original price and rate of discount are given. True or False, provide some explanation
Answer:
I say true
Step-by-step explanation:
How to calculate discount and sale price:
Find the original price (for example $90 )
Get the discount percentage (for example 20% )
Calculate the savings: 20% of $90 = $18.
Subtract the savings from the original price to get the sale price: $90 - $18 = $72.
And You're all set!
Answer:
False
Step-by-step explanation:
Sale price = original price - rate of discount * original price
Rate of discount is a percent so we need to multiply by the original price to get a a price so that all the units are the same.
(2x-1) (x+3)
Expand
Answer:
2x^2+5x-3
Step-by-step explanation:
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Let g be the function given by g(x)=x4−3x3−x. What are all values of x such that g′(x)=12 ?.
If g(x)=x4−3x3−x, the value of x such that g′(x)=12 is x = 2.67
The given function is:
[tex]g(x)=x^4-3x^3-x[/tex]
The derivative of the function g(x) is calculated below
[tex]g'(x)=4x^3-9x^2[/tex]
The question indicates that g'(x) = 12
This means that we are going to equate the derivative of g(x) gotten above to 12
[tex]4x^3-9x^2=12[/tex]
Solving the cubic equation above
The only real valid value of x is 2.67
Therefore, the value of x such that g′(x)=12 is x = 2.67
Learn more here: https://brainly.com/question/25754111
shelley has 16.5 ounces of frosting that she wants to divide into 4 equal servings to frost four different cupcakes. how many ounces of frosting should she put on each cupcake
Answer: 4.125
Step-by-step explanation: just divide it but 4 and thats how i got it
If f(x) = x^3 – 2x^2 – 29x + 30 and f(6) = 0, then find all of the zeros of f(x)
algebraically.
Due today!!
Answer:
1, 6, and -5
make it 0
Please help me and
explain how you got the answer
Answer:
x = 7°
Step-by-step explanation:
∠WST is an exterior angle of the triangle
The two interior angles (5x - 1) and (57) add up to WST ( 12x + 7) because they are the non-adjacent interior angles
Solve:
(5x - 1) + (57) = (12x + 7)
5x - 1 = 12x - 50
-1 = 7x - 50
49 = 7x
x = 7
-Chetan K
Find the total surface area of these solids
Answer:
#a
This is a cube. Let us find the surface area of the cube now
Surface are of a cube = 6 a²
= 6 × 1.2 × 1.2
= 6 × 1.44
= 8.64 cm²
# b
This is a right trianglular prism.
First you have to find the area of the 2 triangles
Before that,
we have to find the height of the triangle using pythagoras theorem.
Let us solve,
[tex]5^{2} =4^{2} +h^{2} \\25=16+h^{2} \\9 =h^{2}\\\sqrt{9} =h\\3=h[/tex]
Now let us find the area of 2 triangles.
[tex]Area =2*\frac{1}{2} *4*3\\[/tex]
[tex]Area =12mm^{2}[/tex]
Now lets find the total area of 3 rectangles.
( 7 mm × 4 mm) + ( 7 mm × 5 mm) + ( 7 mm × 3 mm )
28 mm² + 35 mm² +21 mm²
= 84 mm²
And now lets find the total surface area of this solid.
12 mm² + 84 mm²
= 96 mm²
Hope this helps you.
Let me know if you have any other questions :-)
Graph the line with slope 1 passing through the point (2, 4). make an actual graph. help plis 21 point!
Answer:
y=x+2
Step-by-step explanation:
since the slope is 1, we have y=x +b. now plug in the point (2,4) to get 4=2+b, b=2, so the graph is y=x+2
what happens to the total mass of the atoms involved in a chemical reaction
There won't be any change in the total mass of the atoms involved in a chemical reaction. According to the law of conservation of mass; it states that mass can neither be created nor destroyed in a chemical reaction. So, when atoms participate in a chemical reaction they might displace with other reactants but the total mass will remain the same.
_______
RainbowSalt2222 ☔
.−3(4x + 3) + 4(6x + 1) = 43
What is the solution?
Answer:
x = 4
Step-by-step explanation:
After you simplify the left side by eliminating parentheses and collecting terms, you have a 2-step linear equation.
-3(4x +3) +4(6x +1) = 43 . . . . . . given
-12x -9 +24x +4 = 43 . . . . . eliminate parentheses
12x-5 = 43 . . . . . . . . . . . collect terms (now a 2-step equation)
12x = 48 . . . . . . . . . . step 1, add the opposite of the unwanted constant
x = 4 . . . . . . . . . . . step 2, divide by the coefficient of x
The solution is x = 4.
__
Check
-3(4·4 +3) +4(6·4 +1) = 43 . . . . substitute for x
-3(16 +3) +4(24 +1) = 43
-3(19) +4(25) = 43
-57 +100 = 43 . . . . . true
please help solve 11x+10>=150
Answer:
12.7272
Step-by-step explanation:
subtract 10 on both sides
divide by 11 on both sides 11/11>140/11
Answer:
x=130
Step-by-step explanation:
11x+10>=150
11x>= 150-10
11x>=140
x>=140-11
x>=129
so, because "x" is bigger than 129,
so, x=130
(2,-6), (-4,-3)
What is the slope
Step-by-step explanation:
the slope is -3
that is the answer
Answer:
m = 3/-6
Step-by-step explanation:
Look at attached photo
What is the measure of _____?
Answer:
95 degrees
Step-by-step explanation:
The sum of all the angles need to come to 360 degrees. We already have 2 90 degree angles, together 180 degrees. Subtract from 360 to get 180, so we know the other two angles together need to equal 180. x + x + 10 = 180
Add common terms, then subtract 10: 2x = 170
Divide by 2: x = 85
So angle F is 85 + 10, or 95 degrees.
Evaluate.
3.23
+52
- 18 ÷6 A.25 B.31 C.40 D.46
Answer:
d
Step-by-step explanation:
What statement describes the decimal equivalent of 3/ 8 ?
Answer:
0.375
Step-by-step explanation: All you need to do is divide 3 and 8
Write the explicit formula for
-1,-3,-9,-27,-81...
Answer:
[tex]- \frac{1}{3} * 3^n[/tex]
Step-by-step explanation:
This is a geometric sequence/progression
Therefore, we use the formula [tex]a_{n} = \frac{a_{1} * r^n}{r}[/tex]
Where [tex]a_{1}[/tex] [tex]=[/tex] [tex]-1[/tex],
and [tex]r = 3[/tex]
[tex]a_{n} = \frac{-1 * 3^n}{3}[/tex]
[tex]a_{n} = -\frac{1}{3} * 3^n[/tex]
What is magnitude in maths ?
Answer:
In mathematics, the magnitude or size of a mathematical object is a property which determines whether the object is larger or smaller than other objects of the same kind. More formally, an object's magnitude is the displayed result of an ordering ( or ranking ) - of the class of objects to which it belongs.
The value of the expression -20 - 16 is
1)26
2)14
3)-14
4)-26
Answer:
I think -1(20+16)= -1(36)= -36
Answer:
-36Step-by-step explanation:
-20 - 16
=> -36.
Unfortunately, there is no option of -36. Please include -36 in one of the options.
$75 is shared between Amy and Mary in the ratio 2:3. Amy's share would be ?
amys share would be 45:30 so amys is 45 and marys 30
What is the value of x?
Y
672
45
6V2
O 6
12
3
Answer: 12
Step-by-step explanation:
A 45 degree angle in a right triangle means that the third angle is also 45 degrees (180 -(90+35)) = 45. Two 45 degree angles in a right triangle means that the two sides will be equal. So we can find the hypotenuse, x, by:
(6[tex]\sqrt{2}[/tex])² + (6[tex]\sqrt{2}[/tex])² = x²
(6[tex]\sqrt{2}[/tex])² = 36*2 or 72
72 + 72 = x²
x² = 144
x = 12
Quick i need your help !
Answer: 30
Step-by-step explanation:
Answer:
30 po brainliest answer po ty