Answer:
x = 30
Step-by-step explanation:
- 2x + 10 + 4x = 70, that is
2x + 10 = 70 ( subtract 10 from both sides )
2x = 60 ( divide both sides by 2 )
x = 30
In ΔPQR, the measure of ∠R=90°, QP = 73, RQ = 55, and PR = 48. What is the value of the sine of ∠P to the nearest hundredth?
Answer:
[tex]sin[/tex][tex](Q)[/tex] = [tex]\frac{47}{73}[/tex]
Step-by-step explanation:
if there are 3 to 7 of girls and boys what is the percentage of boys if there are 50 in a class
Answer:
35 boys
Step-by-step explanation:
Answer:
15/35 or 43% if your going to the nearest whole number so there are 35 boys and 15 girls
Step-by-step explanation:
Let x = the number of boys
Let 50 - x = the number of girls
Girls/Boys: 3 = 50 - x Cross Multiply
7 x
3x = 350 - 7x
10x = 350
x = 35 boys
50 - x = 15 girls
Check: 15/35 = 3/7
Stephen's watch loses time. Stephen set his watch to the correct time at 10 a.M., but noticed three hours later that it read 12:54. If Stephen does not adjust his watch, at what time on his watch should he show up at the restaurant for a 7 o' clock date with Mabel?
Answer:
6:54
Step-by-step explanation:
Correct time set = 10 am
Correct time after 3 hours = 10 am + 3 hours
= 1 pm
Steven watch after 3 hours = 12:54
This means Steven watch is 6 minutes behind the normal time
If Stephen does not adjust his watch, at what time on his watch should he show up at the restaurant for a 7 o' clock date with Mabel?
Time Stephen show up for date with Mabel = 7:00 - 6 minutes
= 6:54
2x² + 3x-5=0
solve using quadratic formula
Answer:
x1=-5/2, x2=1
Step-by-step explanation:
Answer:
x1=-5/2, x2=1
Step-by-step explanation:
because if you use quadratic formula
you would have x = -3 + or - √3^2 -4 x 2 x (-5)/ 2 x 2
simply and combine like terms give you
x = -3 + 7 / 4
x = -3 - 7 / 4
then you get
x = 1
x = -5/2
Kane is trading for a marathon he starts running 3 miles during every training season each week plans to increase the distance of his run by 1/4 mile . Let w be the number of weeks write and expression to show the distance Kane runs in a training session after w weeks
Answer:
(11+w)/4
Step-by-step explanation:
Let the first term be 3 miles
If he plans to increase the distance of his run by 1/4 mile, then
common difference = 1/4
To get the distance Kane runs in a training session after w weeks , we will use the nth term of an AP
Tw = a+(w-1)d
Tw = 3 + (w-1)(1/4)
Tw = 3 + 1/4 w - 1/4
Tw = 11/4 + 1/4 w
Tw = (11+w)/4
Hence the distance Kane runs in a training session after w weeks is (11+w)/4 weeks
A roll of ribbon was 12 meters long. Diego cut 9 pieces of ribbon that were 0.4 meter each to tie some presents. He then used the remaining ribbon to make some wreaths. Each wreath required 0.6 meter. a. How many meters of ribbon were available for making wreaths?
Answer:
8.4 meters
Step-by-step explanation:
According to the problem, computation of the given data are as follows:
Ribbon roll = 12 meter
Number of pieces cut = 9
Length of each piece = 0.4 meter
So, total length cut = 0.4 × 9 = 3.6 meters
So, we can calculate the ribbon available for making wreaths by using following formula:
Ribbon available after cut = Ribbon total length - Total length cut
By putting the value,
Ribbon available for wreaths = 12 meters - 3.6 meters
= 8.4 meters
You earned 90% on a science quiz. You answered 27 questions correctly. How many questions were on the test?
Answer:
There were 30 questions on the test.
Step-by-step explanation:
1. Set up your equation: 27/90 = y/100
2. Next you want to cross multiply: 2700 = 90y or 270 = 9y
3. Divide 270 by 9 to find your y: y = 30
There were 30 questions on the test.
9x + 8 + 3x + 4 = please help
Answer:
12x+12
Step-by-step explanation:
Answer:
12+12
Step-by-step explanation:
9+12+3
9x+12+3x12+12
9+8+3+4
9x+8+3x+49+12+3
have a good day/night
may i please have a branlliest
Find the ordered pairs that solve the equation y=12
Answer:
Please check the explanation.
Step-by-step explanation:
Given the equation
y = 0.5x
when x = 12
y = 0.5 · (12)
y = 6
when x = 0
y = 0.5(0)
y = 0
when x = 8
y = 0.5(8)
y = 4
when x = 12
y = 0.5(12)
y = 6
Thus, the table is completed such as:
x y
0 0
8 4
12 6
Therefore, the ordered pairs that complete the equation y = 0.5 x are:
(0, 0)(8, 4)(12, 6)The graph of the equation is attached below.
Which expression is equivalent to 83 ⋅ 8–7?
fraction: 1 over 8 to the power 10
1 over 8 to the power 4
810
84
Answer:
657
Step-by-step explanation:
Evaluate (Two-fifths) cubed. Check all that apply.
The exponent is Two-fifths.
The expanded form is (Two-fifths) (two-fifths) (two-fifths).
The expanded form is StartFraction 2 times 2 times 2 Over 5 EndFraction.
(Two-fifths) cubed = StartFraction 6 Over 15 EndFraction
(Two-fifths) cubed = StartFraction 8 Over 125 EndFraction
Answer:
B.The expanded form is (Two-fifths) (two-fifths) (two-fifths).
E.Two-fifths)cubed = StartFraction 8 Over 125 EndFraction
Answer:
b and e :D
Step-by-step explanation:
Help meeeee pleaseeeeerd
Answer:
i like your cut g
Step-by-step explanation:
Adrienne operates the milkshake machine at Burgers and Shakes. On Monday she added whipped cream to 112 milkshakes. This was 68% of the total milkshakes sold. About how many milkshakes were sold at Burgers and Shakes on Monday?
A.36
B.350
C.165
D.76
Select all of the equations that show properties of exponents applied correctly
510
55
-52
5
4
8
3
= 424
1
10-4 =
410
156 153 = 1518
(68)º=1
Shut
Answer:
Options (a), (b), (e)
Step-by-step explanation:
a). [tex]\frac{5^{10}}{5^{8}}=5^{10-8}[/tex]
= 5²
True.
b). (4⁸)³ = [tex]4^{8}\times 4^8\times 4^8[/tex]
= [tex]4^{24}[/tex] [Since, [tex]x^{a}\times x^{b}\times x^c=x^{a+b+c}[/tex]]
True.
c). [tex]10^{-4}=\frac{1}{10^4}[/tex]
And [tex]\frac{1}{4^{10}}\neq \frac{1}{10^4}[/tex]
False.
d). [tex]15^{6}\times 15^{3}=15^{6+3}[/tex] [Since, [tex]x^{a}\times x^{b}=x^{a+b}[/tex]]
= 15⁹
And [tex]15^{9}\neq 15^{18}[/tex]
False.
e). [tex](6^{8})^{0}=1[/tex] [Since, a⁰ = 1]
True.
photo of question attached. please help :)
Answer: C) Tracy spends $7 every 4 days
Graphing the function as well as x = 4 will show that there is a difference in the y-value of 7 between x=0 and x=4, meaning she spends $7 every 4 days.
how many solutions does the equation have ?
Which statement best explains the relationship
between lines FG and HJ?
O They are perpendicular because their slopes are
equal.
O They are perpendicular because their slopes are
O They are not perpendicular because their slopes are
O They are not perpendicular because their slopes are
negative reciprocals.
equal.
not negative reciprocals.
Answer:
they are perpendicular because they have slopes that are negative reciprocals
Step-by-step explanation:
th
The statement that best explains the relationship between lines FG and HJ is "They are not perpendicular because their slopes are not negative reciprocals."
What is a slope?The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
To find the slope of a line passing through two given points, we use the formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
For line FG, the two points are F(-4, 1) and G(0, -2):
slope of FG = (-2 - 1) / (0 - (-4)) = (-2 - 1) / 4 = -3/4
For line HJ, the two points are H(-4, -2) and J(0, 4):
slope of HJ = (4 - (-2)) / (0 - (-4)) = 6/4 = 3/2
The slopes of lines FG and HJ are not equal. However, we can see that they are not negative reciprocals of each other:
slope of FG = -3/4
slope of HJ = 3/2
Therefore, lines FG and HJ are not perpendicular because their slopes are not negative reciprocals of each other.
To learn more about the slope;
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#SPJ7
The last time Braxton played softball, he hit the ball 35% of the time he was at bat. Based on this information, how many times will Braxton be expected to hit the ball next time he plays softball, if he is at bat 20 times?
Answer:
the number of items expected to hit the ball next time is 7 times
Step-by-step explanation:
The computation of the number of items expected to hit the ball next time is shown below:
= Given percentage × given number of times
= 35% × 20 times
= 7 times
Hence, the number of items expected to hit the ball next time is 7 times
We simply applied the above formula
He bought 24 packages that contained 24 packs of gum. The total price was 42$ whats the total price of gum in one pack of gum? I’m
Answer:
We conclude that:
Total price in one pack of gum = 3$Step-by-step explanation:
Total number of packages = 24
The total number of packs in 24 packages = 24 packs
Total price for 24 packs of gum = 42$
If the total price for 24 packs of gum is 42$, then the price for 1 pack can be calculated by dividing 42 by 24.
i.e.
Total price in one pack of gum = 42/24 = 3$
Therefore, we conclude that:
Total price in one pack of gum = 3$QUICK ANSWERS PLEASE!!!!
Find the following
Answer: Sorry I cant see the picture
Step-by-step explanation:
Suppose a city with population 100,000 has been growing at a rate of 2% per year. If this rate continues, find the population of this city in 22 years.
Answer:
154,598
Step-by-step explanation:
You can show the growth in the following equation
100,000(1.02)^n
where n is the number of years
To find the population in 22 years you just plug in 22 for n
100,000(1.02)^22
154597.9671
Which rounds to 154598
In the school election James ran against Ben for secretary James received 75% of the votes if 240 students voted how many votes did James not receive?
Answer: James did not received 60 votes.
Step-by-step explanation:
Given: In a school election,
Percentage of votes received by James = 75%
Percentage of voted hadn't received by James = 100% - 75% = 25%
If 240 students voted , the number of votes hadn't received by James= 25% of 240
[tex]=\dfrac{25}{100}\times 240\\\\=\dfrac14\times240\\\\=60[/tex]
Hence, James did not received 60 votes.
Question
0/3 Mar
Х
3x
Work out the value of x.
Answer:
The value of x is 67.5
Step-by-step explanation:
The sum of the measures of the angles around a point is 360°
Let us solve the question
∵ In the given figure there are 3 adjacent angles around one vertex
→ By using the rule above
∴ The sum of their measures is 360°
∵ One of the angles is a right angle
∵ The measure of the right angle is 90°
∵ The measures of them are x, 3x, and 90°
∴ x + 3x + 90° = 360°
→ Solve the equation by adding the like terms to find x
∵ (x + 3x) + 90 = 360
∴ 4x + 90 = 360
→ Subtract 90 from both sides
∵ 4x + 90 - 90 = 360 - 90
∴ 4x = 270
→ Divide both sides by 4
∴ x = 67.5
∴ The value of x is 67.5
6th grade math help me pleaseee
Answer:
B and D
Step-by-step explanation:
First off, we can rotate it. When rotating, I found that the x and y values switch places in a way.
We would need to rotate it 90 degrees counterclockwise about the origin in order to get it in the same position as triangle BDE. This makes statement B correct.
In order to make triangle ABC smaller, the dilation would have to be smaller than one. Counting the right side's length, ABC has 6 squares and BDE has 3.
This would mean 6 * 1/2 = 3, meaning statement D is true.
The points A (-4,2), B (1,2), C (1,-1), and D (-4,-1) are vertices of a figure. Find the perimeter of the figure.
Answer:
P = 16
Step-by-step explanation:
A tile installer plots an irregular shape on grid paper. Each square on the grid represents 1 square
centimeter. What is the area of the irregular shape?
The area of the irregular shape is
Answer:
area of a triangle = 0.5 X base X height
0.5 X 4 X 4 = 8 cm^
area of a rectangle l X w
3 X 5 = 15 cm^
area of a parallelogram = base X height
5 X 3 = 15 cm^
add totals together
15 + 15 + 8 = 38 cm^
what is 5 + 5 times 10 divide by 2
Answer:
50
Step-by-step explanation:
5+5 = 10
10 × 10 = 100
100 ÷ 2 = 50
A gardener plans to extend the length of a rectangular garden. Let x represent the garden's original length. The expression 4(x+7) represents the area of the extended garden. WHen asked for the area of the extended portion the gardener incorrectly said it was 11 square feet. Describe the error the gardener made.
Answer:
The answer is "[tex]4 \cdot 7[/tex]".
Step-by-step explanation:
In the question the total given value =4(x+7). if we add the value it will be 11 but if we multiply the value it is equal to [tex]4 \cdot 7[/tex].
The error gardener made is that the area of the extended portion is 28 ft² instead of 11 ft².
Given to us
The original length of the garden is x.
The Area of the extended garden is 4(x+7).
Area of the Extended GardenGiven to us is the area of the complete garden, therefore, comparing the expression with the area of a rectangle,
[tex]\text{Area of rectangle}= \rm{ Breadth \times Length[/tex]
[tex]4(x+7) = Breadth \times Length[/tex]
Therefore, the breadth of the rectangle is 4 feet, since the breadth of the rectangle is not been changed the breadth of the rectangle is same as before, also (x+7) represents the complete length of the garden after it is extended, and since the original length of the garden is x, the length extended is 7 feet.
Area of the only Extended Portion of the GardenWe know that the breadth of the rectangular garden is 4 and the area of extended length is 7, therefore,
The Area of the only Extended Portion of the Garden
= 4 x 7 = 28 ft²
Hence, the error gardener made is that the area of the extended portion is 28 ft² instead of 11 ft².
Learn more about Rectangle:
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1. Matt painted of his room with of a gallon of paint. How much
paint will he use to paint the room?
Answer: Around two gallon cans
Step-by-step explanation: One gallon can of paint covers up to 400 square feet, which is enough to cover a small room, like a bathroom. Two gallon cans of paint cover up to 800 square feet, which is enough to cover an average size room.
There are 235 grams in a
candy bar. How many
grams are in 9 candy bars?
2115
Step-by-step explanation:
You multiply 235 by the number of candy bars in this case it would be 9
