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lianna [129]
3 years ago
11

Which pairs of numbers, whose sum is 35, have the largest product?

Mathematics
1 answer:
goldenfox [79]3 years ago
3 0
17 and 18............
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Some time ago , Keith's height and his nephew's height were at a ratio of 15:7. Then, Keiths height increased by 16% and his nep
GaryK [48]

Answer:

The answer is below

Step-by-step explanation:

The ratio of Keith's height and his nephew's height is 15:7. Let keith height be x cm and his nephews height be y cm.

\frac{x}{y}=\frac{15}{7}  \\x=\frac{15}{7}y

Keiths height increased by 16% , therefore Keith new height is (100% + 16%) × x = 1.16x

The nephew height is doubled, therefore his new height is 2y.

Given that Keith is now 34 cm taller than his nephew

1.16x = 2y + 34

but x = (15/7)y

1.16(\frac{15}{7} )y=2y+34\\\\\frac{87}{35} y=2y+34\\\\\frac{87}{35} y-2y=34\\\\\frac{17}{35}y=34\\ \\y=\frac{34*35}{17}\\ \\y=70\ cm

The nephews new height = 2y = 2(70) = 140 cm

Keith new height = 2y + 34 = 140 + 34 = 174 cm

Their total current height = 140 cm + 174 cm = 314 cm

3 0
3 years ago
At north shire high school 87.5% of the teachers have a masters degree. If there are 128 teachers, how many have a masters degre
Radda [10]

We have been given that at north shire high school 87.5% of the teachers have a masters degree. Total number of teachers is 128.

Let us find how many teachers have a masters degree.

\text{Teachers hold masters degree }=\frac{128\times 87.5}{100}

\text{Teachers hold masters degree }=1.28\times 87.5

\text{Teachers hold masters degree }=112

Therefore, 112 teachers have a masters degree.

4 0
3 years ago
A construction company built a scale model of a new building. the model was built usinga scale of 3 inches= 32 feet. if the buil
Valentin [98]

Answer: 18.75 inches

Step-by-step explanation:

Let the height of the model be represented by x. Therefore, based on the information given in the question, we can form an equation which will be:

3/x = 32/200

Cross multiply

32 × x = 200 × 3

32x = 600

x = 600/32

x = 18.75

Therefore, the height of the model is 18.75 inches

5 0
3 years ago
This figure is 1/4 of a circle.
Leno4ka [110]

Answer:

3.1in

Step-by-step explanation:

Radius: r=2in

Perimeter of circle: p=2×pi×r=4×pi

Perimeter of figure: p1=p/4=pi=3.14in

Best approximation: 3.1in

7 0
3 years ago
Read 2 more answers
2 less than 3 times amount of boys. 26 in total how many boys​
Wewaii [24]

3b-2=26

3b=24

b=8

8 boys.

6 0
4 years ago
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