Given:
The ratio of boys to girls is [tex]\dfrac{4}{5}[/tex].
Number of boys = 24
To find:
The number of girls.
Solution:
We have,
Boys: Girls = 4:5
Let the number of boys be 4x and number of girls be 5x.
[tex]4x=24[/tex]
[tex]x=\dfrac{24}{4}[/tex]
[tex]x=6[/tex]
Now,
Number of girls = [tex]5x[/tex]
= [tex]5(6)[/tex]
= [tex]30[/tex]
Therefore, the number of girls is 30.
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:
QUICK ANSWERS PLEASE!!!!
Find the following
Answer: Sorry I cant see the picture
Step-by-step explanation:
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.
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.
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^
19 − x = 11.5
How do you sovle this
Answer:
7.5
Step-by-step explanation:
19-11.5=7.5
19-7.5=11.5
it works the same way around
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.
Evaluate each function at the given value. 1) f (x) = x3 − x2 − 25x + 35 at x = −5 2) f (n) = −4n4 − 13n3 − 5n2 + 16n + 18 at n = −2
Answer:
a) f(-5) =10
b) f(-2) = 26
Step-by-step explanation:
Given that the function
f (x) = x³ − x² − 25x + 35
Put x =-5
f(-5) = (-5)³ - (-5)²-25(-5)+35
= -125-25+125+35
= 10
f(-5) =10
ii)
f(n) = -4n⁴ - 13n³-5n²+16n+18
f(-2) = -4(-2)⁴ -13(-2)³-5(-2)²+16(-2)+18
= -4(16)-13(-8)-5(4)-12+18
= -64 +104-20-12+18
= 122-96
= 26
f(-2) = 26
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.
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
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
0) What is the value of 56?
56 = 5.5.5.5.5.5
= (5.5) . (5.5) (5.5)
- 25 · 25 · 25
· 25
Answer:
my answer is 5 thats may final answer....
thaks for your question..
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 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:
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.
What kind of sequence is this? –149, 447, –894, 894, ...
Answer:
multiply by -3, multiply by -2, multiply by -1, ...
Step-by-step explanation:
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;
brainly.com/question/3605446
#SPJ7
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.
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
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
In Tyrel's fruit basket for every 3
apples there are 7 pears. What is the
number of pears in Tyrel's fruit
basket if there are 9 apples in the
basket?
Hey there!
The answer is there would be [tex]21[/tex] pears for every [tex]9[/tex] apples.
To solve this, we can use proportions. We know that for every [tex]3[/tex] apples there are [tex]7[/tex] pears, and we want to how many pears ([tex]x[/tex]) there are for [tex]9[/tex] apples. We can set up the following proportion:
[tex]\frac{3}{7}[/tex] [tex]= \frac{9}{x}[/tex]
Using cross products, we know that the value of [tex]9[/tex] x [tex]7[/tex] is equal to [tex]3[/tex] x [tex]x[/tex]:
[tex]9(7) = 3(x)[/tex]
[tex]63 = 3x[/tex]
[tex]21 = x[/tex]
Have a terrificly amazing day!
Answr
The answer is there would be 21 pears for every 9 apples
Step-by-step explanation:
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$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
what is 5 + 5 times 10 divide by 2
Answer:
50
Step-by-step explanation:
5+5 = 10
10 × 10 = 100
100 ÷ 2 = 50
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
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.
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
Help meeeee pleaseeeeerd
Answer:
i like your cut g
Step-by-step explanation:
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
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:
