Solve for DG. Show all work
32/40 = 24/dg
32dg = 40 x 24
32dg = 960
dg = 960/32
dg = 30
Answer: DG = 30
Answer:
DG = 30 unitsStep-by-step explanation:
these are 2 similar triangles, so we can solve with an equation
FC : CE = DG : ED
24 : 32 = x : 40
x = 24 * 40 : 32
x = 960 : 32
x = 30
DG = 30 units
------------------------------
check24 : 32 = 30 : 40
0.75 = 0.75
The answer is good
The mean score of 8 players in a basketball game was 14.5 points. If the highest individual score is removed, the mean score of the remaining 7 players becomes 12 points. What was the highest score? A) 20 B) 24 C) 32 D) 36
The highest score is 32.
What is mean?The mean refers to the average of a set of values.
Total players = 8
Mean= 14.5
Now, total score of 8 players,
= 14.5*8
=116
and, Total score for the remaining 7 players
= 12 * 7
= 84
Hence, the highest score is 116-84 =32
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please help!!!!
picture below
Answer:
7 ^ 6x + 2 = 7^15
taking log on both the sides
log 7^6x + 2 = log 7^15
6x + 2 log 7 = 15 log 7
log 7
a tree surgeon reduces the height of a beech tree by 32%.
the tree is now 4.42m tall.
how tall was it before it was reduced?
Let original Hieght be X
reduction = 32% = 32/100 X
new hieght = 4.42 m
now, 4.42 = X + 32/100 X
4.42 = 132/100 X
X = 4.42 * 100 / 132
X = 3.34 m
Original Hieght = 3.34 m
Y W P 8 cm E R WERP is a square. Find.
1. m2WER=
2. measure of PE =_______
3. measure of WA =
4. Value of y=
1) All interior angles of a square are right angles, so angle WER measures 90°
2) All squares are parallelograms, and diagonals of a parallelogram bisect each other, meaning PA=AE=8 cm. Thus, PE=16 cm
3) All squares are rectangles, and diagonals of a rectangle are congruent, meaning WR=16 cm. Then, using the fact that the diagonals bisect each other, we get that WA=8 cm
4) If we consider right triangle WPR, we know it is isoceles because all sides of a square are congruent. So, the length of WP is:
[tex] \frac{16}{ \sqrt{2} } = 8 \sqrt{2} [/tex]
What is 2/5 divided by 4/7 equal too
REARRANGE EQUATIONS PLEASE HELP ITS DUE IN TOMORROW
Answer:
from top to bottom:
x = y(v-w)
x = (yv/w)/2
x = (6+w)/v
x = (y-2w)/v
Step-by-step explanation:
Round to 2 decimal places 8.041
Answer:
8.04
Step-by-step explanation:
If the last digit in 8.041 is less than 5, then remove the last digit.
I hope this helps!
james brewer purchased 100 shares of stock for $73 a share. james also paid a $60 commission. what was the total purchase price for this transaction?
Answer:
$ 7360.00
Step-by-step explanation:
100 shares * $ 73/share + $60 = $ 7360
Based on the calculation below, the total purchase price for this transaction is $7,360.
How do we calculate the total purchase price of shares of stock?The total purchase price for this transaction can be calculated using the following formula:
Total purchase price = (Price per share * Units of shares purchased) + Commission ...................................... (1)
Substituting all the values into equation (1), we have:
Total purchase price = ($73 * 100) + $60 = $7,360
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Construct a circle through points X, Y, and Z.
The image of the Constructed circle that passes through points X, Y, and Z is given in the image attached.
How is the circle constructed?The steps to construct the circle are:
Step one- Draw 3 circles and the center of each of then is one where one acts as one of the points, and the other side of the compass is said to be at another point.
Step two: Then the draw the circle and follow the way for each point and the three point do cross some where of each other in the middle.
Step three: Place your compass on that point and then begin to drawing side to link the points and so all 3 point will be on the circle.
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Simplify 14(1−23)2+13
Answer:
-603Step-by-step explanation:
Simplify 14(1−23)2+13
Remember PEMDAS
14 * (1 - 23) * 2 + 13 =
14 * (-44) * 2 + 13 =
-308 * 2 + 13 =
-616 + 13 =
-603
The two-way table shows the estimated number of students who will enroll in three area high schools next year. a 5-column table has 4 rows. the first column has entries mount woodson high school, valley high school, riverside high school, total. the second column is labeled tenth grade with entries 110, 180, 160, 450. the third column is labeled eleventh grade with entries 120, 150, 140, 410. the fourth column is labeled twelfth grade with entries 80, 120, 200, 400. the fifth column is labeled total with entries 310, 450, 500, 1,260. in decimal form, to the nearest tenth, what is the probability that a randomly selected riverside high school student is in twelfth grade? 0.2 0.3 0.4 0.5
Answer:
A. 0.2
Step-by-step explanation:
First make the table.
10-grade 11-grade 12-grade Total
Woodson high school | 110 | 120 | 80 | 310 |
Valley high school | 180 | 150 | 120 | 450 |
Riverside high school | 160 | 140 | 200 | 500 |
Total | 450 | 410 | 400 | 1260 |
Question: In decimal form, to the nearest tenth, what is the probability that a randomly selected riverside high school student is in twelfth grade?
First, find 12-grade and riverside high school number. 200. Take the total lined up with total number, which is 1260, and divide 200 divided by 1260.
200/1260=0.2
The answer is 0.2.
Hope this helps!
If not, I am sorry.
Answer:
its .4
Step-by-step explanation:
i got it wrong when i tried it says it is .4 or the third option c
Do this for me x+y=6
Answer:
A = 8 ; B = 6 and C = 4
Step-by-step explanation:
(-2) + A = 6
A = 6 + 2
A = 8
0 + B = 6
B = 6
2 + C = 6
C = 6-2
C = 4
Six girls and four boys have entered the science fair. first, second, and third place awards are to be given out. what is the probability that a girl wins the first place award while boys will receive the second and third place awards? express your answer as a percent.
Answer:
the probability is 10%
Step-by-step explanation:
A car traveled 63 miles on 3 gallons of gas. What proportion can you set up to determine how many miles, m, the car
can travel on 7 gallons of gas?
Answer:
147 miles
Step-by-step explanation:
The first step is to find the number of miles traveled per gallon of gas
63 miles / 3 gallons = 21 miles per gallon
Take the rate and multiply by the number of gallons used to get the distance traveled
d = r * g
d = 21 * 7
d =147
The distance traveled is 147 miles
Please hurry i need this asap!!!
Answer:
D
Step-by-step explanation:
d) A number plus eight is five times the number
Step-by-step explanation:Keywords within mathematical phrases can be "translated" into an algebraic equation.
Keywords
First, let's define some of these keywords that can help us answer the question.
"A number" can be replaced with the variable, x"Plus" is obviously used to denote addition"Is" is used in place of an equal sign"Times" is used to show multiplicationWriting Out the Expression
In the figure, we see that the blocks "x" and "8" is equal to the block "5x". So, we can say that x plus 8 is equal to 5x. Then, using the keywords above we can replace the variables and numbers.
This creates the new sentence, "A number plus 8 is equal to five times a number."A seamstress was hired to make band uniforms for Hinsdale High school. The seamstress bought 148 yards of material. There were 16 students in the concert band and 20 students in the symphonic band. How much material did she have for each uniform?
Answer:
4.11 yards/uniform
Step-by-step explanation:
We aren't told that there will be any differences in the uniforms among the 16 concert and 20 symphonic band students. No information on sizes, styles, or anything else.
In the absence of this information, we must assume all uniforms are the same.
(16 + 20) = 36 students/uniforms
148 yards of material
148 yards/36 uniforms = 4.11 yards per uniform.
The radius of a sphere is 3 inches. Which represents the volume of the sphere? 12Ï€ cubic inches 36Ï€ cubic inches 64Ï€ cubic inches 81Ï€ cubic inches.
Answer: 113 inches cubed
Step-by-step explanation:
Volume of a sphere = 4/3 Pi r^3
Radius = 3 inches
Volume = 113 inches cubed
Hope I helped!
I need to know which ones are parallel and which ones are perpendicular and the steps thank youu
Answer:
If both equations have the same slope, they are said to be parallel.
If an equation is the reciprocal of another equation (meaning flipped denominator and numerator as well as flipped +/- sign) they are said to be Perpendicular.
Hope it helps!
what is the degree of the polynomial below?
2 times x squared plus 3 times x plus 1
Answer:
2
Step-by-step explanation:
The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients. In 2x^2 + 3x +1, our highest degree is 2.
Find x.
7x
6x+1
4x+6
Answer:
this is the answer
Step-by-step explanation:
6x+1=0
6x=-1
x=-1/6
x=0,166
7x=7×x
(a − b)(2x − 3) + (6x + 7)(a − b)
factorise and ignore the first question it was wrong
Answer:
8ax - 8bx + 4a - 4b
Step-by-step explanation:
(a - b)(2x - 3) + (6x + 7)(a - b)
2ax -3a -2bx +3b + 6ax - 6bx + 7a -7b
8ax + 4a - 8bx - 4b
The scatter plot shows the height of an alfalfa plant over a period of time. Click on the table that best matches the data in the scatter plot.
Based on the information provided, the table that best matches the data in the scatter plot is shown below.
What is a scatter plot?A scatter plot is a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.
Based on the information provided, the table that best matches the data in the scatter plot is given by:
Data 1 2 4 5.5 6.3
Height (cm) 1 2 3 4 5
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Find (gof)(3)
f(x) = x + 21
g(x) = -x²
a. -25
C.
4
b. 1
d. -15
Please select the best answer from the choices provided
A function assigns the values. The value of (gof)(3) is -576.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
Given f(x)=x+21 and g(x)=-x², therefore, the value of (gof)(x) will be,
(gof)(x) = g(f(x))
= -(x+21)²
The value of (gof)(3) will be,
(gof)(3) = -(3+21)²
= -576
Hence, the value of (gof)(3) is -576.
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The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation y = −0.4x2 + 3x, where y is the height above water and x is the horizontal distance in feet. If a beam of light is shone upward at an angle modeled by the equation x + y = 10, at what height from the water's surface will the beam of light hit the dolphin?
Answer:
5 feet
The graphs intersect at x = 5.
Helena sees this recipe for pastry. she says that the ratio of margarine to flour is 4:1 is Helena correct? explain your answer
pastry:200g flour pinch salt
50g margarine water to mix
50g lard
Answer:
NOsince it talks about a ratio of margarine to flour, we should write it in this form:
MARGARINE : FLOURSince we have a 50g margarine and a 200g flour, therefore, we write it as
➡️ 50 : 200 ➡️ 1 : 4
FINAL ANSWER SHOULD BE:
1 : 4Step-by-step explanation:
Ratio of MARGARINE TO FLOUR
Given that margarine is 50g and flour is 200g. Therefore,
Margarine:Flour ➡️ 50:200 = 1:4
To check:
A:B= C:D ➡️ 50:200= 1:4
▶️AD= BC ➡️ (50) (4) = (200) (1)
➡️ 200 = 200
☑️
Hope it helps
please solve and tell me all that apply
Answer:
-x+4, 4+-x
Step-by-step explanation:
Obtain these answers by moving the X and 4 around and multiplying the equation by -1
Based on the table below, determine the exponential function being used. Use x as your variable. Then, evaluate this expression for x=7.
Input (x) Output
0 1
1 5
2 25
3 125
4 625
The exponential function is used. Use x as your variable common ratio.
This is pretty obviously
If it wasn't obvious we can find the common ratio r by dividing successive values:
5/1=5
25/5=5
125/25=5
625/125=5
What is the common ratio?
The common ratio is the number you multiply or divide by at each stage of the sequence. You can find it by dividing two consecutive pairs of terms.
That's the common ratio. We multiply by the first term, but the first term is one, so that has no effect.
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Solve the given proportion.
X/3 = 6/2
x = [?]
Answer:
x = 9
Step-by-step explanation:
x/3 = 6/2
~Simplify
x/3 = 3
~Rewrite
1/3x = 3
~Multiply 3 to both sides
x = 9
Best of Luck!
Answer: x=9 ✅
Step-by-step explanation:
Hii student, I'd love to help you out! (:
In this problem, we need to solve a proportion. This is fun, right?
3,2,1 - start!
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Solving proportions is easy as winking, if you are familiar with a skill that is known as "cross multiplying".
We have these two proportions:
(oh and by the way, proportions are just equivalent (equal) fractions. That's all proportions are. Nothing more)
Our proportions are:
[tex]\large\boldsymbol{\cfrac{x}{3}=\cfrac{6}{2}}[/tex]
We multiply x times 2 and 3 times 6; upon doing that we obtain.
[tex]\multimap\quad \tt 2x=18[/tex]
Did you see that? 2 fractions turned into a little equation that we can solve within 5 seconds (or faster)!
To do that we simply divide both sides by 2, since x is multiplied by 2 and we need to get it all by itself on one side of the equal sign)
[tex]\multimap\quad \tt x=9[/tex]
Woohoo! We found the answer! ✨
Cheers! (: ____________________________________Hope I helped! Best wishes.
Reach far. Aim high. Dream big.
[tex]\underbrace[/tex]
R is the midpoint of QS. If QR = 7x and QS = 15x − 7, what is QR?
Answer: 49
Step-by-step explanation:
If R is the midpoint of QS, QS=2(QR)=2(RS).
[tex]15x-7=2(7x)\\15x-7=14x\\-7=-x\\\\x=7\\\\QR=7(7)=\boxed{49}[/tex]
