Step-by-step explanation:
1. 10x-7=5x+3; ⇒ 5x=10; ⇒ x=2. If x=2, then
2. QS=10*2-7=14;
3. SR=5*2+3=13;
4. m(∠PSR)=15*2+42=72°;
5. m(∠PSQ)=180-m∠(PSR)=180-72=108°.
A worm wriggled forward
4
5
of an inch in 3 minutes. At that rate, how far would the worm go in 1 minute?
Answer:
4/15 of an inch
Step-by-step explanation:
=> At that rate, the distance the worm would go in 1 minute is:
D = (4/5)/3 = 4/(5x3) = 4/15 of an inch
Hope this helps
Have a great day
~Zero
Answer:
4/15 of an inch
Step-by-step explanation:
A worm wriggled forward 4/5 of an inch in 3 minutes.
=> At that rate, the distance the worm would go in 1 minute is:
D = (4/5)/3 = 4/(5x3) = 4/15 of an inch
60
60
boys at a summer camp were asked to complete a survey about their favorite outdoor activity.
18
18
boys chose biking and 29
29
boys chose fishing.
The remaining boys did not complete the survey.
Which expression gives the percent of survey participants who chose fishing?
Answer:
48.3%
Step-by-step explanation:
When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.
So, since our denominator in 29/60 is 60, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:
100 ÷ 60 = 1.6666666666667
Once we have that, we can multiple both the numerator and denominator by this multiple:
29 x 1.6666666666667
60 x 1.6666666666667
=
48.333333333333
100
Now we can see that our fraction is 48.333333333333/100, which means that 29/60 as a percentage is 48.3333%.
Heather bought 7 cases of water for $38.50. How much did each case cost?
38.50/7 = $5.50 for each cases of water Heather bought.
Answer:
$5.50 / case
Step-by-step explanation:
Here we're finding the 'unit cost' $38.50 / (7 cases) = $5.50 / case
please someone can tell me what is
[tex]a {m \times a {n}^{?} }^{?} ]{?} [/tex]
in an index form?
theres question marks where the exponent is supposed to go
Is this a quadratic function? Why or why not?
Answer:
Not a quadratic function.
Step-by-step explanation:
DefinitionsA function is a relation wherein each input or x-value corresponds exactly to an output or y-value. In other words, a relation is a function if there are no repeating x-values.
Vertical Line Test :A way to determine whether a given graph represents a function is to perform the Vertical Line Test. Using the Vertical Line Test, we must draw vertical lines across the graph. If each of the vertical lines drawn intersects the graph at exactly one point, then the relation is a function.
⇒ The attached screenshot shows that the given graph fails the Vertical Line Test, as each vertical line drawn intersects the graph more than once. This means that those x-values correspond to more than one y-value. Specifically, x = 1 corresponds to the following y-values: y = -1 and y = 1. Hence, the given horizontal parabola is not a quadratic function.
Horizontal Parabola: Not a FunctionThe given graph represents a horizontal (or sideways) parabola.
The vertex form of the horizontal parabola is: x = a(y - k)² + h.
where:
a = Determines the direction of the graph's opening.
a > 0, the graph of the parabola opens to the right.a < 0, the graph of the horizontal parabola opens to the lefty = k is the horizontal axis of symmetry
k = determines the vertical translation of the graph
h = determines the horizontal translation of the graph
Equation of the Horizontal Parabola in Vertex Form:The vertex of the given graph occurs at the point of origin, (0, 0).
Let's use one of the given points on the graph, (1, 1), and substitute these values into the vertex form to solve for a :
x = a(y - k)² + h
1 = a(1 - 0)² + 0
1 = a( 1 )²
1 = a
Equation of the given horizontal parabola in vertex form:
⇒ x = (y - 0)² + 0 or x = y²
It is evident that in the vertex form of a horizontal parabola, the variable, y, is squared.
This implies that each x-values on the graph have more than one corresponding y-values:x = 1 has two y-values: y = -1, and y = 1.
x = 4 has two y-values: y = -2, and y = 2.
Thus, by definition of function, the given horizontal parabola is not a quadratic function, as it fails the vertical line test.
Determine the measurement of the missing angle
Answer:
31
Step-by-step explanation:
Find missing angle of lower triangle first
35+23=58
180-58=122
Because of some geometry rule, the other angle in the upper triangle that is not the ? is also 122
27+122=149
180-149=31
Sanam eats 5 almonds daily. How many almonds does she eat in 157 days?
Answer:
785 almonds
Step-by-step explanation:
157 x 5 = 785
An arrow travels north 56 meters in 0.7 seconds. What is its velocity? 39.2 m/s 39.2 m/s north 80 m/s north 80 m/s
Answer: north 80 m/s
Explanation:
speed = distance/time = 56/0.7 = 80
Recall that velocity is composed of both the speed and the direction. In this case, the arrow is traveling 80 m/s to the north
It is given that 2(3+x)=6+2x this is e so ample of which property
Answer:
distributive property
Step-by-step explanation:
The distributive property is the one that says a multiplier outside parentheses is equivalent to multiplication of every term inside parentheses.
2(3 +x) = 2(3) +2(x) = 6 +2x
The triangle shown below has an ar
Answer:
a^2+b^2=c^2
C=7
b=?
a=4
LET B=x =
[tex] \sqrt{65 } [/tex]
9. The painter bought 8 cans of paint for $12.99 each. How much did he spend on paint?
10 minutes ago — 9. The painter bought 8 cans of paint for $12.99 each. How much did he spend on paint? · 9. 25 students each paid $6.50 to go to the museum ...
Can a shape have the perimeter be the same as the area?
Answer:
In geometry, area is the 2-dimensional space or region occupied by a closed figure, while perimeter is the distance around a closed figure i.e. the length of the boundary. Two shapes may have the same perimeter, but different areas or may have the same area, but different perimeters.
Step-by-step explanation:
Answer maybe
Step-by-step explanation:
Answer #3 & #4 with proof please ! I'll give you brainliest :)
Answer:
see explanation
Step-by-step explanation:
The perimeter is the sum of the 3 sides , then
2x - 6 + x + 4 + 10 > 50
3x + 8 > 50 ( subtract 8 from both sides )
3x > 42 ( divide both sides by 3 )
x > 14
(4)
The area is calculated by multiplying length and breadth , then
3(4x - 2) < 138 ( divide both sides by 3 )
4x - 2 < 46 ( add 2 to both sides )
4x < 48 ( divide both sides by 4 )
x < 12
good night everyone : )
Answer:
Good night sagey!!!! sleep well
The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 7 cm/s. When the length is 13 cm and the width is 10 cm, how fast is the area of the rectangle increasing?
Answer:
195 square centimeters per second
Step-by-step explanation:
Area growth rate = (9*10) cm^2 per s + (7*15) cm^2 per s = 195 square centimeters per second
15% of what is 12? Please
15*X/100=12
15x=1200
X=1200/15
x=80
See attachment for answer and math work.
What is 1/2 times 3/4 in fraction form?
Answer:
3/8 is the answer.Step-by-step explanation:
1/2 x 3/4=> 3/8Conclusion:
Therefore, 3/8 is the answer.
Hoped this helped.
Need help due in 1 min!!
Simplify!!
Answer:
C. 3^9
Step-by-step explanation:
You would simply just add the exponents.
Answer:
3^9
Step-by-step explanation:
5+4=9
How many feet does each student climb after 10 steps?
Pilar climb 6.5 feet and Jake climbed 9.5 feet.
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
slope of pilar = 3-2/3-1 = 1/2
After 10 steps let the height covered by x.
then, slope= x-2/10-1
1/2 = x-2/ 9
9 = 2x -4
13 = 2x
x= 6.5 feet
now, slope of Jake= 8-5/7-1 = 3/6 = 1/2
After 10 steps let the height covered by y.
then, slope= x-5/10-1
1/2 = y-5/9
2y- 10 = 9
2y= 19
y= 19/2
y= 9.5 feet
Learn more about slope here:
https://brainly.com/question/3605446
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Julio just bought a $267,900 house. He had a 20 year mortgage with a fixed rate of 5. 875%. Julio’s monthly payments are $1,558. 9. What percent of the purchase price was Julio’s down payment? a. 13% b. 15% c. 18% d. 20%.
Julio's down payment was 22.08% of the purchase price.
Given that Julio just bought a $ 267,900 house, and he had a 20 year mortgage with a fixed rate of 5.875%, and Julio's monthly payments are $ 1,558, to determine what percent of the purchase price was Julio's down payment the following calculation must be performed:
(267,900 x 1.05875) - (1558 x 12 x 20) = X
582,682.50 - 373,920 = X
208,762.50 = X
267,900 = 100
208,762.50 = X
208,762.50 x 100 / 267,900
77.92 = X
100 - 77.92 = 22.08
Therefore, Julio's down payment was 22.08% of the purchase price.
Learn more about maths in https://brainly.com/question/25917920
solve pls brainliest
-scale drawing is a drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount ( called the scale )
-the answer is: scale drawing
[tex] \sf \: If (3x-1) ^{7} = a _{7} x ^{7} + a _{6} x ^{6} + a _{5} x ^{5}+.... \\ \sf + a₁x + a _{0}, then \: \: a_0 + a₁ + a₂ + a_3 + a_4 + a_5 + a_6 + a7 = [/tex]
a)0
b)1
c)128
d)64
Please solve this for me. Need step-by-step explanation. Spam free answer required. Thank you in anticipation.
Answer:
hope it helps have a great day
Answer is option C
Evaluate the expression when B=7 c=-7. c-6b
Answer:
7 - (6 x 7) = -35
Answer:
-7-6(7)= 35
7 - (6 x 7) = 35
5/6 times 2/7 and simplified
Step-by-step explanation:
⅚ײ/7 = 5/21.
hope this helps you.
Answer: it 5/21
Step-by-step explanation:
this is how i got it
5/6×2/7=
5 × 2/6 × 7= 10/42
= 10 ÷ 2/42 ÷ 2
= 5/21
14.06 as a mixed number
14 3/50
Good luck with the rest... I highly reccomend using Math way (spell it together)
14. Janine has job offers at two companies. The Nabisco company offers her a starting salary of $28,000 plus $2,000 for transportation costs with a raise of $3000 each year. The Keebler company offers a starting salary of $36,000 with a $2000 a year raise, After how many years would her salary at Nabisco be greater than Keebler?
Answer:
eight years
Step-by-step explanation:
at year one: nabisco 30k and keebler: 36k
year two: nabisco: 33k and keebler: 38k
year three: nabisco: 36k and keebler: 40k
year four: nabisco: 39k and keebler: 42k
year five: nabisco: 42k and keeber: 44k
year six: nabisco: 45k and keebler 46k
year seven: nabisco: 48k and keeber 48k
year eight: nabisco: 51k and keebler 50k
1/4 divided by 3 I’m behind and I really just want to get this over with :) plus math is my least favorite subject thanks to my teacher so yeah plz help:)
Answer:
XD [tex]\frac{1}{12}[/tex] is the answer.
Step-by-step explanation:
So, to divide a fraction with a whole number you'll have to multiply the denominator with the whole number.
Hopes This Helps
It takes 1 3/4 cups of cherries to make a cherry pie. Emma wants to make 3 cherry pies. How many cups of cherries will Emma need
Answer:
5 1/4 please give brainliest
Step-by-step explanation:
1 x 3 = 3 3/4 x 3 = 2 1/4
Answer:
5 1/4 please give brainliest
Step-by-step explanation:
1 x 3 = 3 3/4 x 3 = 2 1/4
make t the subject of the formula in the image
Answer:
t=[tex]\frac{2-3q}{q+4}[/tex]
Step-by-step explanation:
q(t+3)=2-4t
qt+3q=2-4t
qt+4t=2-3q
t(q+4)=2-3q
t=[tex]\frac{2-3q}{q+4}[/tex]
Which of the following can be a common denominator for the fractions 6/7 and3/4 ? 14, 4, 7, 28