Answer: True
Step-by-step explanation:
If 5x - 8 = 37, then x = 9.
Answer:
true
Step-by-step explanation:
5x-8=37
5(9)-8=37
45-8=37
37=37
Mrs. Adams is making sugar cookies at her friend's house. Each batchof sugar cookies requires 8 eggs. If she makes 5 batches of sugarcookies, how many total eggs will Mrs. Adams need?label optional
Mrs. Adams will need 40 eggs
Explanationto solve this you can use a rule of three
Step 1
Let
x, the total eggs needed for 5 batches
if
\(1\text{ batch }\Rightarrow8\text{ eggs}\)then,
\(5\text{ batches}\Rightarrow\text{ x eggs}\)Step 2
establish the relation
\(\frac{1}{8}=\frac{5}{x}\)Step 3
solve for x
\(\begin{gathered} \frac{1}{8}=\frac{5}{x} \\ 1\cdot x=5\cdot8 \\ x=40 \end{gathered}\)so, Mrs. Adams will need 40 eggs
In a recent survey of 36 people, 18 said that their favorite color of car was blue.
What percent of the people surveyed liked blue cars? Explain your answer with every step you took to get to it.
Answer: The percentage of people surveyed who liked blue cars is 50%.
Step-by-step explanation:
Total number of people partaking in survey= 36
number of people who like blue cars= 18
therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)
hence, percentage of people who liked blue cars= (18/36)*100 %
= 50%
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Answer:
Percentage of people who like blue-coloured cars is 50%
Number of people who were surveyed=36
Number of people who like blue-colored cars=18
Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100
=(18/36)*100
=50%
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calculate the area and perimeter or write an expression
Answer:
the perimeter is 130, the area is 640
Step-by-step explanation:
area = (40×13)+(12×10)
= 520+120
= 640
perimeter = 25+40+13+30+12+10
= 130
hope that helped!
What proportion of those surveyed chose basketball as their favorite sport? StartFraction 34 Over 149 EndFraction StartFraction 15 Over 49 EndFraction StartFraction 18 Over 52 EndFraction StartFraction 37 Over 149 EndFraction
There are different proportions depending on which fraction represents the number of people who chose basketball.
What do you mean by the term Proportion ?Proportional or proportion meaning in math means equality between two ratios. In the mathematical equation a/b = c/d, a and b are in a similar proportion as c and d.
The proportion of people who chose basketball as their favorite sport depends on which fraction represents the number of people who chose basketball.
StartFraction 34 Over 149 End Fraction means 34 out of 149 people chose basketball as their favorite sport, so the proportion is 34/149.
StartFraction 15 Over 49 End Fraction means 15 out of 49 people chose basketball as their favorite sport, so the proportion is 15/49.
StartFraction 18 Over 52 EndFraction means 18 out of 52 people chose basketball as their favorite sport, so the proportion is 18/52.
StartFraction 37 Over 149 EndFraction means 37 out of 149 people chose basketball as their favorite sport, so the proportion is 37/149.
So there are different proportions depending on which fraction represents the number of people who chose basketball.
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Given the diagram below, what is
cos(45*)?
8 √2
450
Triangle not drawn to scale
O A. 1/√2
O B. 2 √2
O C. 4 √2
O D. √2
The value of cos(45°) is √2/2. The correct answer choice is D. √2.
In the given diagram, the angle labeled as 45° is part of a right triangle. To find the value of cos(45°), we need to determine the ratio of the adjacent side to the hypotenuse.
Since the angle is 45°, we can assume that the triangle is an isosceles right triangle, meaning the two legs are congruent. Let's assume the length of one leg is x. Then, by the Pythagorean theorem, the length of the hypotenuse would be x√2.
Now, using the definition of cosine, which is adjacent/hypotenuse, we can substitute the values:
cos(45°) = x/(x√2) = 1/√2
Simplifying further, we rationalize the denominator:
cos(45°) = 1/√2 * √2/√2 = √2/2
Therefore, the value of cos(45°) is √2/2.
The correct answer choice is D. √2.
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Calculate the side lengths a and b to two decimal places
Answer:
E
Step-by-step explanation:
using the Sine rule in Δ ABC
\(\frac{a}{sinA}\) = \(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)
where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C
we require to calculate ∠ C
∠ C = 180° - (64 + 85)° = 180° - 149° = 31°
then to find a , using
\(\frac{a}{sinA}\) = \(\frac{c}{sinC}\)
\(\frac{a}{sin64}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )
a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )
a = \(\frac{9.3sin64}{sin31}\) ≈ 16.23 ( to 2 decimal places )
then to find b , using
\(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)
\(\frac{b}{sin85}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )
b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )
b = \(\frac{9.3sin85}{sin31}\) ≈ 17.99 ( to 2 decimal places )
Look at the pattern shown. 144, 72, 36, …What is the first non-integer number in this pattern?
Answer:
The first non-integer number in this sequence is 4.5.
Step-by-step explanation:
Half of 144 is 72, half of 72 is 36, half of 36 is 18, half of 18 is 9, and half of 9 is 4.5. Therefore, 4.5 is the first non-integer in this sequence.
Answer:
The first non-integer number in this sequence is 4.5.
Step-by-step explanation:
Half of 144 is 72
Half of 72 is 36
Half of 36 is 18
Half of 18 is 9
And half of 9 is 4.5.
Therefore, 4.5 is the first non-integer in this sequence.
A bond is worth $100 and grows in value by 4 percent each year. Assuming this bond compounds quarterly, what is the value of the bond after 5 years?
Responses
$121.67
$122.02
$122.67
$120.00
Answer:it will be D
Step-by-step explanation: because $100 + 4%=$100.4
write as a percentage
\( \frac{64}{65} \)
round answer to the nearest tenth of a percent
Answer:
\(100\%\)
Step-by-step explanation:
\( \frac{64}{65} \times 100\% \\ \frac{64 \times 100}{65} \\ \frac{6400}{65} \\ = 98.461\% \\ \)
When you round it to nearest tenth....
The answer is,
\(100\%\)
Hope this helps you.
Let me know if you have any other questions :-):-)
A scale model of a bicycle has a scale of 1 : 25. The real bicycle has a length of 1.75 m. What is the length of the model in cm?
Answer:
It's 7 I just did this question today and got it right
Does anyone know this?
Answer: 8.6?
Step-by-step explanation:
16. A photograph is reduced to 75% of its original size. The photo was originally 96 squaro Inches. What is
the now area after it has boon reduced?
Answer:
mom clock usualli a h i j o
2. Choose whether the given sets of lengths are or are not possible side lengths
of a triangle.
Possible side lengths Not possible side lengths
3 ft, 5 ft, 9 ft
11 cm, 6 cm, 17 cm
4 in., 4 in., 6 in.
16 yd, 10 yd, 12 yd
The first and second lengths are not possible lengths of triangle.
The third and fourth lengths are possible lengths of triangle.
What are the possible lengths of triangle?For the first case; 3 ft, 5 ft, 9 ft: Not possible. In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. However, in this case, 3 ft + 5 ft = 8 ft, which is less than 9 ft.
For the second case. 11 cm, 6 cm, 17 cm: Not possible. Using the same reasoning as above, we see that 6 cm + 11 cm = 17 cm, which means that the three sides cannot form a triangle.
For the third case. 4 in., 4 in., 6 in.: Possible. The sum of any two sides is greater than the third side, since 4 in. + 4 in. = 8 in., which is greater than 6 in. Therefore, these lengths can form a triangle.
For the fourth case. 16 yd, 10 yd, 12 yd: Possible. Again, we see that the sum of any two sides is greater than the third side, since 10 yd + 12 yd = 22 yd, which is greater than 16 yd. Therefore, these lengths can form a triangle.
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PLS HELP ILL GIVE YOU FREE PIONTS AND BRAINLEST PLSSS
Answer:
B,D,C,A,E
Step-by-step explanation:
-1, -4/3, 1/2, 2, 2 1/4
Answer:
BDCAE
Step-by-step explanation:
hope this help
Enter the number that belongs in the green box
The number that belongs in the green box using sine rule is 13.96.
What is sine rule?The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.
To calculate the number that belongs in the green box, we use the formula below
Formula:
SinA/a = SinB/b.................. Equation 1From the diagram,
Given:
A = 70°B = 61°b = 15a = xSubstitute these values into equation 1
Sin70°/15 = sin61°/xSolve for x
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Estimate. 51.68 + 33.1 Need help asap
A population of 2,000 mosquitos grows at a rate of 15% per month. Which equation models the population, p(t), of the mosquitos after t months?
PLEASE WILL GIVE BRAINLIEST AND 100 POINTS I NEED THIS DONE QUICKLYYYY
Answer:
Step-by-step explanation:
The rate of change is 30 songs every week
Initial value 150
5x+30=y
Answer: I did one like that and got it correct.
8,782 divided by 2 can you please explain me the process so i can do it
Answer:
4,391
Step-by-step explanation:
next time use a caculator luv <3
Answer:
4,391
Step-by-step explanation:
You can start of by multiply 100's by 2 and keep going until you get close to 8,782 then start going down some numbers till you get 8,782.
Identify the next number in the following sequence
25 49 97 ?
Select only one answer
- 124
- 171
- 139
- 193
Answer:
the correct answer is 193
Step-by-step explanation:
25×1-0=25
25×2-1=49
49×2-1=97
97×2-1=193
Solve for the portion. Round to hundredths when necessary.
14.5% of 1,800 is
The value of 14.5% of 1,800 is 261 by using the concept of percentage.
What is meant by percentage?In mathematics, a percentage is a value or ratio expressed as a fraction of 100.
The term percent is derived from the Latin per centum, which means "hundred" or "by the hundred." The sign for "percent" comes from the Italian expression per cento, which means "for a hundred." The "per" was frequently shortened as "p." and finally disappeared entirely. The "cento" was reduced to two circles divided by a horizontal line, from which the present "%" symbol was derived.
A % is a relative figure that indicates one-tenth of a quantity. One percent (symbolized 1%) is the one-hundredth part; consequently, 100 percent denotes the complete amount, and 200 percent specifies twice the supplied amount.
Given,
14.5% of 1,800
=(14.5/100)×1800
=261
Therefore, the answer is 261.
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Please help me with this and show work!! I’ll give brainliest
Answer:
The original price of the tie was 20 dollars
Step-by-step explanation:
The price of the t-shirt was originally 24, but because he bought it on sale, he would have payed 12 because 24x.5=12. This means we can subtract the value payed for the shirt from the total money payed. 22(total)-12(shirt)=. 10 (tie). However, 10 is the price he payed for the tie, not its original value. We can find this by multiplying 10x2, which gives us our answer.
Answer:
20 dollars is the original price
i need help can someone help me
The value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
Considering the sine of angle 41°
sin 41° = 2.5/x {opposite/hypotenuse}
x = 2.5/sin 41° {cross multiplication}
x = 3.8106
Therefore, the value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.
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Linda wants to save $900 to buy a TV. She saves $18 each week. The amount, A (in dollars), that she still needs after w weeks is given by the following function. If Linda still needs $576 , how many weeks has she been saving? How much money does Linda still need after 7 weeks?
A) first multiply 18 x 7 = 116, then subtract 500 - 116 = 384, so the answer is 384
B) first divide 384 from 18 which should give you 18, so the answer is 18
Which diagram has all of the correct lines of reflectional symmetry for the regular pentagon? A pentagon has 3 lines of reflectional symmetry. They intersect near the bottom of the figure. A pentagon has 5 lines of reflectional symmetry. They intersect in the center of the figure. A pentagon has 1 vertical line of reflectional symmetry. A pentagon has 3 lines of reflectional symmetry that intersect in the center of the figure.
Answer:
It is B
Step-by-step explanation:
Edge 2020
5 What is the solution for y in the following system of equations?
7x + 2y = 8
-
7x+6y= -88
Answer:
working on a answer one second
Step-by-step explanation:
M= -1/8, (8, -3) Find the slope-intercept form of the equation of the line that has the given slope m and passes through the given point.
Answer: y=-1/8x-2
Step-by-step explanation:
Given the slope, we can start to fill out the slot-intercept form equation.
y=-1/8x+b
We don't know the value of b, but we can plug in the given point to solve for b.
-3=-1/8(8)+b
-3=-1+b
b=-2
Now that we know b, we can finish our slope-intercept equation.
y=-1/8x-2
if you invest $550.00 and your annual interest is 4%, what will be the interest
The annual interest is $22.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.
Simple Interest = (Principal × Rate × Time) / 100
Given;
Amount invested= $550
Annual interest= 4%
SI= 550*4*1/100
=5.5*4
=22
Therefore, the simple interest will be $22.
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What is the value of C????
Answer:
c = 34
Step-by-step explanation:
b = 73° n all triangles r 180° so its 180 - 73x2 = 180 - 146 = 34